Download - Hojas de Calculo Fransua

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Page 1: Hojas de Calculo Fransua

ξ 0.1 ξ 0.2 ξ 0.3 ξ 0.4 ξ 0.5β Rd β Rd β Rd β Rd β Rd

0.20 1.04 0.20 1.04 0.20 1.03 0.20 1.03 0.20 1.020.40 1.19 0.40 1.17 0.40 1.14 0.40 1.11 0.40 1.070.60 1.54 0.60 1.46 0.60 1.36 0.60 1.25 0.60 1.140.80 2.54 0.80 2.08 0.80 1.67 0.80 1.36 0.80 1.141.00 5.00 1.00 2.50 1.00 1.67 1.00 1.25 1.00 1.001.20 2.00 1.20 1.54 1.20 1.19 1.20 0.95 1.20 0.781.40 1.00 1.40 0.90 1.40 0.78 1.40 0.68 1.40 0.591.60 0.63 1.60 0.59 1.60 0.55 1.60 0.50 1.60 0.451.80 0.44 1.80 0.43 1.80 0.40 1.80 0.38 1.80 0.352.00 0.33 2.00 0.32 2.00 0.31 2.00 0.29 2.00 0.282.20 0.26 2.20 0.25 2.20 0.25 2.20 0.24 2.20 0.232.40 0.21 2.40 0.21 2.40 0.20 2.40 0.19 2.40 0.192.60 0.17 2.60 0.17 2.60 0.17 2.60 0.16 2.60 0.162.80 0.15 2.80 0.14 2.80 0.14 2.80 0.14 2.80 0.143.00 0.12 3.00 0.12 3.00 0.12 3.00 0.12 3.00 0.12

0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.500.00

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5.00

6.00

Chart Title

ξ 0.1ξ 0.2ξ 0.3ξ 0.4ξ 0.5ξ 0.6ξ 0.7

BETA

Rd

si el Rd es menor que 1 se toma el β de la grafica, si es mayor es necesario conocer el ξ

Page 2: Hojas de Calculo Fransua

ξ 0.6 ξ 0.7 ξ 0.8 ξ 0.9 ξ 1β Rd β Rd β Rd β Rd β Rd

0.20 1.01 0.20 1.00 0.20 0.99 0.20 0.98 0.20 0.960.40 1.03 0.40 0.99 0.40 0.95 0.40 0.90 0.40 0.860.60 1.04 0.60 0.95 0.60 0.87 0.60 0.80 0.60 0.740.80 0.98 0.80 0.85 0.80 0.75 0.80 0.67 0.80 0.611.00 0.83 1.00 0.71 1.00 0.63 1.00 0.56 1.00 0.501.20 0.66 1.20 0.58 1.20 0.51 1.20 0.45 1.20 0.411.40 0.52 1.40 0.46 1.40 0.41 1.40 0.37 1.40 0.341.60 0.40 1.60 0.37 1.60 0.33 1.60 0.31 1.60 0.281.80 0.32 1.80 0.30 1.80 0.27 1.80 0.25 1.80 0.242.00 0.26 2.00 0.24 2.00 0.23 2.00 0.21 2.00 0.202.20 0.21 2.20 0.20 2.20 0.19 2.20 0.18 2.20 0.172.40 0.18 2.40 0.17 2.40 0.16 2.40 0.16 2.40 0.152.60 0.15 2.60 0.15 2.60 0.14 2.60 0.13 2.60 0.132.80 0.13 2.80 0.13 2.80 0.12 2.80 0.12 2.80 0.113.00 0.11 3.00 0.11 3.00 0.11 3.00 0.10 3.00 0.10

0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.500.00

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2.00

3.00

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6.00

Chart Title

ξ 0.1ξ 0.2ξ 0.3ξ 0.4ξ 0.5ξ 0.6ξ 0.7

BETA

Rd

si el Rd es menor que 1 se toma el β de la grafica, si es mayor es necesario conocer el ξ

Page 3: Hojas de Calculo Fransua

β #DIV/0!ξ 0.1ф

por ke se unen todos los puntos en el b= 1.4 aproxWnW

WdPoRd 2

ξ 0.1 ξ 0.2 ξ 0.3 ξ 0.4Tr con Rd β β Tr β Tr β Tr β Tr

2 0 0.20 1.041596 0.20 1.041385 0.20 1.041038 0.20 1.0405622.0004 0.1 0.40 1.1889 0.40 1.184325 0.40 1.177176 0.40 1.168057

2.001599 0.2 0.60 1.546756 0.60 1.504559 0.60 1.447396 0.60 1.3865422.003597 0.3 0.80 2.570651 0.80 2.179845 0.80 1.848723 0.80 1.616862

2.00639 0.4 1.00 5.09902 1.00 2.692582 1.00 1.943651 1.00 1.6007812.009975 0.5 1.20 2.051875 1.20 1.703493 1.20 1.460337 1.20 1.3126692.014349 0.6 1.40 1.03846 1.40 1.031248 1.40 1.023807 1.40 1.0178552.019505 0.7 1.60 0.659318 1.60 0.704116 1.60 0.756785 1.60 0.8049452.025438 0.8 1.80 0.468465 1.80 0.523715 1.80 0.591881 1.80 0.6583612.032142 0.9 2.00 0.355862 2.00 0.412461 2.00 0.483442 2.00 0.554942.039608 1 2.20 0.282661 2.20 0.338127 2.20 0.407832 2.20 0.4792132.047828 1.1 2.40 0.231856 2.40 0.285474 2.40 0.352534 2.40 0.4217732.056794 1.2 2.60 0.194888 2.60 0.246496 2.60 0.310514 2.60 0.3768582.066495 1.3 2.80 0.167003 2.80 0.216628 2.80 0.277583 2.80 0.3408272.076921 1.4 3.00 0.145366 3.00 0.193096 3.00 0.251113 3.00 0.3112942.088061 1.52.099905 1.62.112439 1.72.125653 1.82.139533 1.92.154066 22.169239 2.1

2.18504 2.22.201454 2.32.218468 2.42.236068 2.5

2.25424 2.62.272972 2.72.292248 2.82.312055 2.92.332381 3

0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.500

1

2

3

4

5

6

TRASMISIBILIDAD VS BETA

0.10.20.30.40.50.60.70.80.91

BETA

TRAS

MIS

IBIL

IDAD

E10
esta se enlaza con la primera columna de los betas para el primer shi?
G10
esta se enlaza con la primera columna de los betas para el primer shi?
I10
esta se enlaza con la primera columna de los betas para el primer shi?
Page 4: Hojas de Calculo Fransua

0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.500

1

2

3

4

5

6

TRASMISIBILIDAD VS BETA

0.10.20.30.40.50.60.70.80.91

BETA

TRAS

MIS

IBIL

IDAD

Page 5: Hojas de Calculo Fransua

por ke se unen todos los puntos en el b= 1.4 aprox

ξ 0.5 ξ 0.6 ξ 0.7 ξ 0.8 ξ 0.9β Tr β Tr β Tr β Tr β Tr

0.20 1.039967 0.20 1.039262 0.20 1.03846 0.20 1.037575 0.20 1.036620.40 1.157632 0.40 1.14653 0.40 1.135277 0.40 1.124272 0.40 1.1137880.60 1.329343 0.60 1.279143 0.60 1.236694 0.60 1.201461 0.60 1.1724420.80 1.459787 0.80 1.352038 0.80 1.276284 0.80 1.2216 0.80 1.1811271.00 1.414214 1.00 1.301708 1.00 1.228904 1.00 1.179248 1.00 1.1439591.20 1.222143 1.20 1.164337 1.20 1.125777 1.20 1.099015 1.20 1.0797931.40 1.013512 1.40 1.010416 1.40 1.008196 1.40 1.006579 1.40 1.0053761.60 0.844341 1.60 0.875072 1.60 0.898666 1.60 0.916779 1.60 0.9307891.80 0.716566 1.80 0.764916 1.80 0.804106 1.80 0.835582 1.80 0.8608452.00 0.620174 2.00 0.676753 2.00 0.724528 2.00 0.764329 2.00 0.7973092.20 0.546057 2.20 0.60581 2.20 0.657837 2.20 0.702464 2.20 0.7404372.40 0.48773 2.40 0.547982 2.40 0.601682 2.40 0.648821 2.40 0.6898242.60 0.440798 2.60 0.500149 2.60 0.554007 2.60 0.602169 2.60 0.6448272.80 0.40228 2.80 0.460017 2.80 0.513156 2.80 0.561392 2.80 0.6047633.00 0.370117 3.00 0.425902 3.00 0.477828 3.00 0.525542 3.00 0.568985

0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.500

1

2

3

4

5

6

TRASMISIBILIDAD VS BETA

0.10.20.30.40.50.60.70.80.91

BETA

TRAS

MIS

IBIL

IDAD

K10
esta se enlaza con la primera columna de los betas para el primer shi?
M10
esta se enlaza con la primera columna de los betas para el primer shi?
O10
esta se enlaza con la primera columna de los betas para el primer shi?
Q10
esta se enlaza con la primera columna de los betas para el primer shi?
S10
esta se enlaza con la primera columna de los betas para el primer shi?
Page 6: Hojas de Calculo Fransua

0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.500

1

2

3

4

5

6

TRASMISIBILIDAD VS BETA

0.10.20.30.40.50.60.70.80.91

BETA

TRAS

MIS

IBIL

IDAD

Page 7: Hojas de Calculo Fransua

ξ 1β Tr

0.20 1.0356090.40 1.1039870.60 1.1485660.80 1.1504861.00 1.1180341.20 1.0655741.40 1.0044641.60 0.9417451.80 0.8812052.00 0.8246212.20 0.7726382.40 0.7253052.60 0.6823822.80 0.6435053.00 0.608276

0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.500

1

2

3

4

5

6

TRASMISIBILIDAD VS BETA

0.10.20.30.40.50.60.70.80.91

BETA

TRAS

MIS

IBIL

IDAD

U10
esta se enlaza con la primera columna de los betas para el primer shi?
Page 8: Hojas de Calculo Fransua

0.00 0.50 1.00 1.50 2.00 2.50 3.00 3.500

1

2

3

4

5

6

TRASMISIBILIDAD VS BETA

0.10.20.30.40.50.60.70.80.91

BETA

TRAS

MIS

IBIL

IDAD

Page 9: Hojas de Calculo Fransua

datos que tengo que introducir

DATOSm= 9 masak= 3000 rigidezT 4 duracion

Uo= 4 desplazamiento ůo= 100 velocidad

cálculos inicialesωn= 18.25742T= 0.344144

T U(t)0 4

0.05 6.779830.1 4.291415

0.15 -1.531630.2 -6.164527

0.25 -6.0072980.3 -1.182117

0.35 4.5616240.4 6.76077

0.45 3.7064810.5 -2.227916

0.55 -6.4311190.6 -5.637041

0.65 -0.4627190.7 5.071157

0.75 6.6645070.8 3.079223

0.85 -2.8987610.9 -6.624273

0.95 -5.2024141 0.261963

1.05 5.5227831.1 6.492142

1.15 2.4168031.2 -3.536505

1.25 -6.7417831.3 -4.708381

1.35 0.9836541.4 5.911344

1.45 6.2456431.5 1.726785

1.55 -4.1338651.6 -6.782309

1.65 -4.160582

0 0.5 1 1.5 2 2.5 3

-8

-6

-4

-2

0

2

4

6

8

Column BColumn DColumn E

A14
este parametro es el que vamos a variar
Page 10: Hojas de Calculo Fransua

1.7 1.6941121.75 6.232402

1.8 5.9278241.85 1.017049

1.9 -4.684021.95 -6.745386

2 -3.5652722.05 2.385225

2.1 6.4822912.15 5.542314

2.2 0.2956992.25 -5.180687

2.3 -6.6314382.35 -2.929251

2.4 3.0491012.45 6.658159

2.5 5.0935152.55 -0.429027

2.6 -5.6181962.65 -6.441763

2.7 -2.2597792.75 3.678159

2.8 6.7579962.85 4.586554

2.9 -1.1488552.95 -5.99155

3 -6.178533.05 -1.564504

3.1 4.2652153.15 6.780662

3.2 4.0272183.25 -1.855563

3.3 -6.2964853.35 -5.844743

3.4 -0.8513633.45 4.803567

3.5 6.72593.55 3.421894

3.6 -2.5410833.65 -6.52952

3.7 -5.4442153.75 -0.1285

3.8 5.2870663.85 6.594334

3.9 2.7774963.95 -3.197586

4 -6.6879944.05 -4.981518

Page 11: Hojas de Calculo Fransua

4.1 0.5958314.15 5.710191

4.2 6.3874664.25 2.101381

4.3 -3.8175754.35 -6.770097

4.4 -4.4619374.45 1.313357

4.5 6.0681114.55 6.107659

4.6 1.401274.65 -4.393971

4.7 -6.7748914.75 -3.891404

4.8 2.0158864.85 6.356738

4.9 5.7581084.95 0.685158

5 -4.920191

Page 12: Hojas de Calculo Fransua

0 0.5 1 1.5 2 2.5 3

-8

-6

-4

-2

0

2

4

6

8

Column BColumn DColumn E

Page 13: Hojas de Calculo Fransua

Masa M 0.2533Aceleracion promedio

βRigidez K 10 δXi ξ 0.05

Aceleracion linealβ

amortiguamiento C 0.1592 δAcel sismo As 0Carga Po 0 positivo negativodesplazamiento iniciakUo 0 MAX Ui 1.4309271 1.254211velocidad inicial Ůo 0 MAX U´i 7.3571121 8.6092428aceleracion inicial ϋ o MAX U´´i 48.697286 54.672223

CALCULOS INICIALES Wn 6.283222Üo 0 Tn 0.159154Δt 0.1 estabilidad 0.6283222^K 114.50 166.8 NO ESTABLEa 10.45 15.68b 0.51 0.7679

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i ΔU´´i U´i

0 0.0000 0 5.0000 5 0.0436666 0.87333194 17.466639 00.1 5.0000 17.466639 3.6603 21.635521 0.1889499 2.03233446 5.7134119 0.87333190.2 8.6603 23.180051 1.3397 43.448136 0.3794464 1.7775961 -10.80818 2.90566640.3 10.0000 12.371871 -1.3397 53.869811 0.4704623 0.04272018 -23.88934 4.68326250.4 8.6603 -11.51747 -3.6603 39.893406 0.3484019 -2.48392823 -26.64363 4.72598270.5 5.0000 -38.1611 -5.0000 -0.902046 -0.007878 -4.64166598 -16.51113 2.24205450.6 0.0000 -54.67222 0.0000 -52.77385 -0.460891 -4.41859439 20.972558 -2.3996120.7 0.0000 -33.69966 0.0000 -88.32523 -0.771372 -1.79103687 31.578592 -6.8182060.8 0.0000 -2.121073 0.0000 -91.04457 -0.795121 1.31606012 30.563348 -8.6092430.9 0.0000 28.442275 0.0000 -61.80782 -0.539787 3.79061678 18.927786 -7.293183

1 0.0000 47.370061 0.0000 -12.60554 -0.110088 4.80336732 1.3272252 -3.5025661.1 0.0000 48.697286 0.0000 38.26394 0.3341712 4.08182134 -15.75814 1.30080141.2 0.0000 32.939141 0.0000 72.93753 0.6369867 1.97448929 -26.3885 5.38262281.3 0.0000 6.5506447 0.0000 80.203321 0.7004412 -0.70539989 -27.20929 7.35711211.4 0.0000 -20.65864 0.0000 59.047385 0.5156797 -2.98983101 -18.47934 6.65171221.5 0.0000 -39.13798 0.0000 18.440824 0.1610496 -4.10277032 -3.779451 3.66188121.6 0.0000 -42.91743 0.0000 -26.34944 -0.230118 -3.72058273 11.423203 -0.4408891.7 0.0000 -31.49423 0.0000 -59.44402 -0.519144 -2.05992855 21.789881 -4.1614721.8 0.0000 -9.704345 0.0000 -69.93234 -0.610741 0.22797093 23.968109 -6.22141.9 0.0000 14.263764 0.0000 -55.40771 -0.483893 2.30899396 17.652352 -5.99343

2 0.0000 31.916115 0.0000 -22.33512 -0.19506 3.46767618 5.5212926 -3.6844362.1 0.0000 37.437408 0.0000 16.700569 0.1458514 3.35054676 -7.863881 -0.2167592.2 0.0000 29.573527 0.0000 47.731281 0.4168525 2.06947555 -17.75754 3.13378742.3 0.0000 11.815984 0.0000 60.362156 0.527162 0.13671392 -20.89769 5.20326292.4 0.0000 -9.081706 0.0000 51.204102 0.4471818 -1.73631819 -16.56295 5.33997692.5 0.0000 -25.64466 0.0000 24.668091 0.2154343 -2.89863106 -6.683305 3.60365872.6 0.0000 -32.32796 0.0000 -9.009525 -0.078683 -2.98371648 4.9815961 0.70502762.7 0.0000 -27.34637 0.0000 -37.66688 -0.328957 -2.02176003 14.257533 -2.2786892.8 0.0000 -13.08883 0.0000 -51.57221 -0.450397 -0.40703457 18.036976 -4.300449

Δůi

CASOS

ESPECIA

LES

0 2 4 6 8 10 12 14 16 18 20

-1.5

-1

-0.5

0

0.5

1

1.5

2

DESPLAZAMIENTO vs TIEMPO

Column J

D4
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D6
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C7
estos son datos iniciales?
C9
esta es igual a la aceleracion del sismo?
G13
REVIZAR….
B14
caso de aceleracion promedio
C14
caso de aceleracion promedio
B15
este es para el caso de aceleracion promedio
C15
este es para el caso de aceleracion promedio
B16
para el caso de aceleracion promedio
C16
para el caso de aceleracion promedio
A19
el tiempo lo vamos a variar
B19
ESTE ES EL DATO QUE VA A VARIAR
D19
este dato no es igual al de la segunda columna?
C20
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
I20
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 14: Hojas de Calculo Fransua

2.9 0.0000 4.9481424 0.0000 -46.68836 -0.407744 1.26008042 15.305324 -4.7074833 0.0000 20.253466 0.0000 -25.76634 -0.225026 2.39429346 7.3789373 -3.447403

3.1 0.0000 27.632403 0.0000 2.993159 0.0261402 2.62902346 -2.684337 -1.053113.2 0.0000 24.948066 0.0000 29.10762 0.2542061 1.93229517 -11.25023 1.57591393.3 0.0000 13.697838 0.0000 43.601512 0.3807859 0.59930054 -15.40966 3.5082093.4 0.0000 -1.711827 0.0000 42.057907 0.3673051 -0.86891654 -13.95468 4.10750963.5 0.0000 -15.6665 0.0000 25.907942 0.2262623 -1.9519395 -7.705782 3.2385933.6 0.0000 -23.37229 0.0000 1.6056441 0.0140226 -2.29285502 0.8874714 1.28665353.7 0.0000 -22.48481 0.0000 -21.90602 -0.191312 -1.81384153 8.6927983 -1.0062013.8 0.0000 -13.79202 0.0000 -36.45761 -0.318396 -0.7278335 13.027362 -2.8200433.9 0.0000 -0.764654 0.0000 -37.4641 -0.327186 0.55203362 12.56998 -3.547877

4 0.0000 11.805326 0.0000 -25.32718 -0.22119 1.56787905 7.7469287 -2.9958434.1 0.0000 19.552255 0.0000 -5.017621 -0.04382 1.97951795 0.4858493 -1.4279644.2 0.0000 20.038104 0.0000 15.915265 0.1389931 1.67675355 -6.541137 0.55155414.3 0.0000 13.496967 0.0000 30.12427 0.2630849 0.80508206 -10.89229 2.22830774.4 0.0000 2.6046742 0.0000 33.019664 0.2883713 -0.29935404 -11.19643 3.03338974.5 0.0000 -8.591755 0.0000 24.219183 0.2115139 -1.2377941 -7.572372 2.73403574.6 0.0000 -16.16413 0.0000 7.4475762 0.0650421 -1.69164191 -1.504584 1.49624164.7 0.0000 -17.66871 0.0000 -10.99298 -0.096005 -1.52930357 4.7513512 -0.19544.8 0.0000 -12.91736 0.0000 -24.56778 -0.214558 -0.84175762 8.9995678 -1.7247044.9 0.0000 -3.917792 0.0000 -28.8053 -0.251566 0.10160483 9.8676811 -2.566462

5 0.0000 5.9498888 0.0000 -22.74452 -0.198635 0.95700943 7.2404109 -2.4648575.1 0.0000 13.1903 0.0000 -9.075401 -0.079258 1.43052699 2.2299403 -1.5078475.2 0.0000 15.42024 0.0000 7.0038657 0.061167 1.37798049 -3.28087 -0.077325.3 0.0000 12.13937 0.0000 19.742224 0.1724151 0.84698255 -7.339088 1.30066025.4 0.0000 4.8002813 0.0000 24.875548 0.2172461 0.04963665 -8.60783 2.14764285.5 0.0000 -3.807548 0.0000 21.033545 0.1836927 -0.72070555 -6.799014 2.19727945.6 0.0000 -10.60656 0.0000 10.057503 0.0878354 -1.19644003 -2.715675 1.47657395.7 0.0000 -13.32224 0.0000 -3.821535 -0.033375 -1.22776141 2.0892479 0.28013385.8 0.0000 -11.23299 0.0000 -15.59372 -0.136185 -0.82844359 5.8971085 -0.9476285.9 0.0000 -5.335882 0.0000 -21.26381 -0.185704 -0.16193084 7.4331464 -1.776071

6 0.0000 2.0972648 0.0000 -19.19042 -0.167596 0.52408236 6.2871177 -1.9380026.1 0.0000 8.3843825 0.0000 -10.5285 -0.091949 0.98886464 3.0085278 -1.413926.2 0.0000 11.39291 0.0000 1.3296534 0.0116123 1.08235578 -1.138705 -0.4250556.3 0.0000 10.254205 0.0000 12.063836 0.1053573 0.79254519 -4.657507 0.65730086.4 0.0000 5.5966983 0.0000 17.986758 0.1570841 0.24199004 -6.353596 1.4498466.5 0.0000 -0.756897 0.0000 17.296919 0.1510595 -0.3624817 -5.735839 1.6918366.6 0.0000 -6.492737 0.0000 10.603064 0.0925999 -0.80670975 -3.148722 1.32935436.7 0.0000 -9.641458 0.0000 0.5774818 0.0050433 -0.94442245 0.3944679 0.52264466.8 0.0000 -9.246991 0.0000 -9.092273 -0.079406 -0.7445587 3.6028069 -0.4217786.9 0.0000 -5.644184 0.0000 -15.04803 -0.131419 -0.29571138 5.3741395 -1.166337

7 0.0000 -0.270044 0.0000 -15.41579 -0.134631 0.23147552 5.1695986 -1.4620487.1 0.0000 4.8995545 0.0000 -10.37786 -0.090633 0.64848158 3.1705227 -1.2305727.2 0.0000 8.0700772 0.0000 -1.994781 -0.017421 0.81576049 0.1750555 -0.5820917.3 0.0000 8.2451327 0.0000 6.6189252 0.0578052 0.68876451 -2.714975 0.23366967.4 0.0000 5.5301576 0.0000 12.441384 0.1086546 0.32822324 -4.49585 0.92243417.5 0.0000 1.0343072 0.0000 13.59385 0.1187194 -0.1269261 -4.607137 1.25065747.6 0.0000 -3.572829 0.0000 9.933446 0.086752 -0.51242343 -3.10281 1.1237313

0 5 10 15 20 25

-6.0000

-4.0000

-2.0000

0.0000

2.0000

4.0000

6.0000

CARGA vs TIEMPO

Column D

TIEMPO

CARG

A0 2 4 6 8 10 12 14 16 18 20

-1.5

-1

-0.5

0

0.5

1

1.5

2

DESPLAZAMIENTO vs TIEMPO

Column J

0 5 10 15 20 25

-10

-8

-6

-4

-2

0

2

4

6

8

10

VELOCIDAD vs TIEMPO

Column I

0 5 10 15 20 25

-60

-40

-20

0

20

40

60

Column C

Page 15: Hojas de Calculo Fransua

7.7 0.0000 -6.675639 0.0000 3.0065327 0.026257 -0.69747549 -0.598231 0.61130787.8 0.0000 -7.273871 0.0000 -4.585429 -0.040046 -0.62858506 1.9760399 -0.0861687.9 0.0000 -5.297831 0.0000 -10.15333 -0.088672 -0.34394053 3.7168508 -0.714753

8 0.0000 -1.58098 0.0000 -11.86469 -0.103618 0.04502355 4.0624307 -1.0586938.1 0.0000 2.4814509 0.0000 -9.336151 -0.081536 0.39662766 2.9696515 -1.013678.2 0.0000 5.4511024 0.0000 -3.686807 -0.032198 0.5901227 0.9002493 -0.6170428.3 0.0000 6.3513516 0.0000 2.9362771 0.0256434 0.56670755 -1.368552 -0.0269198.4 0.0000 4.9827993 0.0000 8.165289 0.0713101 0.34662508 -3.033097 0.53978828.5 0.0000 1.9497023 0.0000 10.251093 0.0895261 0.01769473 -3.54551 0.88641338.6 0.0000 -1.595808 0.0000 8.6398545 0.0754546 -0.29912391 -2.790863 0.9041088.7 0.0000 -4.386671 0.0000 4.1000389 0.0358069 -0.49382928 -1.103245 0.60498418.8 0.0000 -5.489915 0.0000 -1.619578 -0.014144 -0.5051956 0.8759183 0.11115488.9 0.0000 -4.613997 0.0000 -6.455334 -0.056376 -0.33944842 2.4390255 -0.394041

9 0.0000 -2.174971 0.0000 -8.767096 -0.076566 -0.0643386 3.0631709 -0.7334899.1 0.0000 0.8881994 0.0000 -7.887658 -0.068885 0.2179469 2.5825392 -0.7978289.2 0.0000 3.4707386 0.0000 -4.301711 -0.037568 0.40839745 1.2264717 -0.5798819.3 0.0000 4.6972103 0.0000 0.5875364 0.0051311 0.4455897 -0.482627 -0.1714839.4 0.0000 4.2145837 0.0000 4.9996283 0.0436634 0.32505447 -1.928078 0.27410639.5 0.0000 2.2865056 0.0000 7.4198132 0.0647996 0.09767048 -2.619602 0.59916079.6 0.0000 -0.333096 0.0000 7.1134185 0.0621238 -0.15118733 -2.357554 0.69683129.7 0.0000 -2.690651 0.0000 4.3391133 0.0378949 -0.33339053 -1.286509 0.54564399.8 0.0000 -3.97716 0.0000 0.2033033 0.0017755 -0.38899648 0.1743905 0.21225349.9 0.0000 -3.80277 0.0000 -3.773519 -0.032955 -0.30562075 1.493124 -0.17674310 0.0000 -2.309645 0.0000 -6.210962 -0.054242 -0.12011852 2.2169206 -0.482364

10.1 0.0000 -0.092725 0.0000 -6.343156 -0.055397 0.09702857 2.1260211 -0.60248210.2 0.0000 2.0332962 0.0000 -4.252127 -0.037135 0.26820403 1.297488 -0.50545410.3 0.0000 3.3307843 0.0000 -0.79198 -0.006917 0.33616731 0.0617777 -0.2372510.4 0.0000 3.392562 0.0000 2.7523996 0.0240376 0.28291665 -1.126791 0.098917510.5 0.0000 2.2657709 0.0000 5.1381594 0.0448732 0.13379539 -1.855634 0.381834210.6 0.0000 0.4101369 0.0000 5.5963106 0.0488744 -0.05377178 -1.895709 0.515629610.7 0.0000 -1.485573 0.0000 4.0740075 0.0355796 -0.21212339 -1.271323 0.461857810.8 0.0000 -2.756895 0.0000 1.2131812 0.0105951 -0.28756682 -0.237546 0.249734410.9 0.0000 -2.994441 0.0000 -1.912348 -0.016701 -0.25835803 0.8217214 -0.037832

11 0.0000 -2.17272 0.0000 -4.196008 -0.036645 -0.14052073 1.5350246 -0.2961911.1 0.0000 -0.637695 0.0000 -4.886863 -0.042679 0.01985169 1.6724238 -0.43671111.2 0.0000 1.0347288 0.0000 -3.832155 -0.033467 0.16437035 1.2179493 -0.4168611.3 0.0000 2.2526781 0.0000 -1.497406 -0.013077 0.24343183 0.3632803 -0.25248911.4 0.0000 2.6159584 0.0000 1.2305918 0.0107472 0.23305769 -0.570763 -0.00905711.5 0.0000 2.0451953 0.0000 3.3769893 0.0294923 0.1418458 -1.253475 0.224000411.6 0.0000 0.7917207 0.0000 4.2243244 0.0368924 0.00615517 -1.460338 0.365846211.7 0.0000 -0.668617 0.0000 3.5488411 0.0309932 -0.1241394 -1.145553 0.372001311.8 0.0000 -1.814171 0.0000 1.6711974 0.0145951 -0.20382183 -0.448095 0.247861911.9 0.0000 -2.262266 0.0000 -0.685827 -0.00599 -0.20787118 0.3671085 0.0440401

12 0.0000 -1.895158 0.0000 -2.672187 -0.023337 -0.13907911 1.0087329 -0.16383112.1 0.0000 -0.886425 0.0000 -3.614595 -0.031567 -0.02552794 1.2622906 -0.3029112.2 0.0000 0.3758659 0.0000 -3.241896 -0.028313 0.09062597 1.0607876 -0.32843812.3 0.0000 1.4366535 0.0000 -1.757424 -0.015348 0.1686615 0.499923 -0.23781212.4 0.0000 1.9365765 0.0000 0.2584176 0.0022568 0.18343819 -0.204389 -0.069151

0 5 10 15 20 25

-60

-40

-20

0

20

40

60

Column C

Page 16: Hojas de Calculo Fransua

12.5 0.0000 1.7321873 0.0000 2.0718765 0.0180944 0.13331212 -0.798132 0.114287512.6 0.0000 0.9340551 0.0000 3.0607077 0.0267301 0.03940345 -1.080041 0.247599612.7 0.0000 -0.145986 0.0000 2.9253407 0.0255479 -0.06304751 -0.968978 0.287003112.8 0.0000 -1.114964 0.0000 1.7755847 0.0155067 -0.13777623 -0.525596 0.223955612.9 0.0000 -1.64056 0.0000 0.0695009 0.000607 -0.16021925 0.0767357 0.0861794

13 0.0000 -1.563825 0.0000 -1.56598 -0.013676 -0.12544429 0.6187634 -0.0740413.1 0.0000 -0.945061 0.0000 -2.563457 -0.022387 -0.0487815 0.9144925 -0.19948413.2 0.0000 -0.030569 0.0000 -2.609962 -0.022794 0.04065876 0.8743128 -0.24826613.3 0.0000 0.843744 0.0000 -1.742135 -0.015215 0.11092147 0.5309415 -0.20760713.4 0.0000 1.3746855 0.0000 -0.313986 -0.002742 0.13852811 0.0211911 -0.09668513.5 0.0000 1.3958766 0.0000 1.1444237 0.0099946 0.11620702 -0.467613 0.041842713.6 0.0000 0.9282638 0.0000 2.1219409 0.0185316 0.05453237 -0.76588 0.158049713.7 0.0000 0.1623837 0.0000 2.3038311 0.0201201 -0.02276226 -0.780013 0.212582113.8 0.0000 -0.617629 0.0000 1.6708021 0.0145916 -0.08780664 -0.520875 0.189819813.9 0.0000 -1.138504 0.0000 0.4893122 0.0042733 -0.11855992 -0.094191 0.1020132

14 0.0000 -1.232694 0.0000 -0.797403 -0.006964 -0.10618603 0.3416683 -0.01654714.1 0.0000 -0.891026 0.0000 -1.734001 -0.015144 -0.05740604 0.6339315 -0.12273314.2 0.0000 -0.257095 0.0000 -2.012767 -0.017578 0.00871493 0.6884878 -0.18013914.3 0.0000 0.4313931 0.0000 -1.572905 -0.013737 0.06811424 0.4994986 -0.17142414.4 0.0000 0.9308917 0.0000 -0.608038 -0.00531 0.1004156 0.1465286 -0.1033114.5 0.0000 1.0774203 0.0000 0.5155771 0.0045027 0.0958421 -0.237999 -0.00289414.6 0.0000 0.8394217 0.0000 1.3965953 0.0121969 0.05804216 -0.518 0.09294814.7 0.0000 0.3214215 0.0000 1.7407402 0.0152024 0.00206839 -0.601475 0.150990214.8 0.0000 -0.280054 0.0000 1.4576483 0.0127301 -0.05151502 -0.470193 0.153058614.9 0.0000 -0.750247 0.0000 0.6810959 0.0059482 -0.08412258 -0.181958 0.1015436

15 0.0000 -0.932205 0.0000 -0.290199 -0.002534 -0.08552993 0.153811 0.01742115.1 0.0000 -0.778394 0.0000 -1.1061 -0.00966 -0.0569806 0.4171755 -0.06810915.2 0.0000 -0.361218 0.0000 -1.490229 -0.013015 -0.01011382 0.5201602 -0.1250915.3 0.0000 0.1589419 0.0000 -1.332409 -0.011636 0.03767961 0.4357085 -0.13520315.4 0.0000 0.5946503 0.0000 -0.717912 -0.00627 0.06965235 0.2037462 -0.09752415.5 0.0000 0.7983966 0.0000 0.1132004 0.0009886 0.07551511 -0.086491 -0.02787115.6 0.0000 0.7119056 0.0000 0.8585472 0.007498 0.05467192 -0.330373 0.047643715.7 0.0000 0.3815328 0.0000 1.2625238 0.011026 0.01588921 -0.445281 0.102315615.8 0.0000 -0.063749 0.0000 1.2029927 0.0105061 -0.02628728 -0.398248 0.118204815.9 0.0000 -0.461997 0.0000 0.7265277 0.006345 -0.05693516 -0.214709 0.0919176

16 0.0000 -0.676706 0.0000 0.0227607 0.0001988 -0.06598928 0.033627 0.034982416.1 0.0000 -0.643079 0.0000 -0.649818 -0.005675 -0.05148765 0.2564056 -0.03100716.2 0.0000 -0.386674 0.0000 -1.05799 -0.00924 -0.01980618 0.3772237 -0.08249516.3 0.0000 -0.00945 0.0000 -1.073871 -0.009378 0.0170323 0.359546 -0.10230116.4 0.0000 0.350096 0.0000 -0.71373 -0.006233 0.04587212 0.2172503 -0.08526816.5 0.0000 0.5673463 0.0000 -0.124289 -0.001085 0.05708341 0.0069755 -0.03939616.6 0.0000 0.5743219 0.0000 0.475789 0.0041552 0.04773009 -0.194042 0.017687116.7 0.0000 0.38028 0.0000 0.876286 0.0076529 0.02222326 -0.316095 0.065417216.8 0.0000 0.0641853 0.0000 0.9483944 0.0082826 -0.00962835 -0.320938 0.087640516.9 0.0000 -0.256752 0.0000 0.6851873 0.005984 -0.03634508 -0.213397 0.0780121

17 0.0000 -0.470149 0.0000 0.1972598 0.0017227 -0.04887946 -0.037291 0.041667117.1 0.0000 -0.50744 0.0000 -0.332442 -0.002903 -0.04364156 0.1420486 -0.00721217.2 0.0000 -0.365391 0.0000 -0.716551 -0.006258 -0.02344953 0.2617919 -0.050854

Page 17: Hojas de Calculo Fransua

17.3 0.0000 -0.103599 0.0000 -0.828985 -0.00724 0.00381123 0.2834233 -0.07430317.4 0.0000 0.179824 0.0000 -0.645574 -0.005638 0.02822453 0.2048427 -0.07049217.5 0.0000 0.3846666 0.0000 -0.246843 -0.002156 0.04142036 0.0590739 -0.04226817.6 0.0000 0.4437406 0.0000 0.2159436 0.0018859 0.03941283 -0.099225 -0.00084717.7 0.0000 0.3445161 0.0000 0.5775564 0.005044 0.02374876 -0.214057 0.038565517.8 0.0000 0.1304591 0.0000 0.7172991 0.0062644 0.0006596 -0.247726 0.062314217.9 0.0000 -0.117267 0.0000 0.5986941 0.0052286 -0.0213759 -0.192984 0.0629738

18 0.0000 -0.310251 0.0000 0.2775417 0.0024239 -0.03471862 -0.073871 0.041597918.1 0.0000 -0.384121 0.0000 -0.122705 -0.001072 -0.03519095 0.0644239 0.006879318.2 0.0000 -0.319698 0.0000 -0.457827 -0.003998 -0.02334366 0.1725219 -0.02831218.3 0.0000 -0.147176 0.0000 -0.614378 -0.005366 -0.00400054 0.2143406 -0.05165518.4 0.0000 0.0671649 0.0000 -0.5476 -0.004782 0.01566436 0.1789574 -0.05565618.5 0.0000 0.2461223 0.0000 -0.293241 -0.002561 0.02876355 0.0830263 -0.03999118.6 0.0000 0.3291486 0.0000 0.0494102 0.0004315 0.03108619 -0.036574 -0.01122818.7 0.0000 0.2925751 0.0000 0.3557451 0.0031068 0.02242023 -0.136746 0.019858218.8 0.0000 0.1558295 0.0000 0.5207702 0.0045481 0.0064041 -0.183577 0.042278518.9 0.0000 -0.027748 0.0000 0.4946955 0.0043203 -0.01095847 -0.163674 0.0486826

19 0.0000 -0.191422 0.0000 0.2972576 0.002596 -0.0235273 -0.087702 0.037724119.1 0.0000 -0.279124 0.0000 0.0069581 6.077E-05 -0.02717826 0.0146826 0.014196819.2 0.0000 -0.264441 0.0000 -0.269627 -0.002355 -0.02113193 0.1062441 -0.01298119.3 0.0000 -0.158197 0.0000 -0.436641 -0.003813 -0.00803978 0.1555989 -0.03411319.4 0.0000 -0.002598 0.0000 -0.441834 -0.003859 0.00713283 0.1478532 -0.04215319.5 0.0000 0.1452549 0.0000 -0.29239 -0.002554 0.0189699 0.0888882 -0.0350219.6 0.0000 0.2341431 0.0000 -0.049117 -0.000429 0.02352185 0.002151 -0.0160519.7 0.0000 0.236294 0.0000 0.1977858 0.0017273 0.01960371 -0.080514 0.007471419.8 0.0000 0.1557801 0.0000 0.361864 0.0031603 0.00905524 -0.130455 0.027075119.9 0.0000 0.0253248 0.0000 0.3904063 0.0034095 -0.00406987 -0.132047 0.0361304

20 0.0000 -0.106722 0.0000 0.2809795 0.0024539 -0.01504331 -0.087422 0.0320605

Page 18: Hojas de Calculo Fransua

0.250.5

0.170.5

maximo1.4309271 MAX Ui8.6092428 MAX U´i54.672223 MAX U´´i

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALUi ti Pi ϋi Δpi ΔP^i ΔUi ΔU´i ΔU´´i

0 0 0.0000 0 5.0000 5 0.029984 0.899518 17.990360.0436666 0.1 5.0000 17.99036 3.6603 31.57481 0.189347 2.08235 5.6662850.2326165 0.2 8.6603 23.65664 1.3397 66.2473 0.397271 1.789691 -11.51947

0.612063 0.3 10.0000 12.13717 -1.3397 82.77695 0.496396 -0.029666 -24.867661.0825252 0.4 8.6603 -12.73049 -3.6603 60.89652 0.365183 -2.633651 -27.212041.4309271 0.5 5.0000 -39.94254 -5.0000 -2.622327 -0.015726 -4.799363 -16.10221.4230492 0.6 0.0000 -56.04473 0.0000 -85.21946 -0.511043 -4.455683 22.975810.9621583 0.7 0.0000 -33.06892 0.0000 -137.4227 -0.824095 -1.628984 33.558160.1907859 0.8 0.0000 0.489241 0.0000 -137.1901 -0.8227 1.621918 31.45987-0.604335 0.9 0.0000 31.94911 0.0000 -87.60877 -0.525371 4.103026 18.16229-1.144123 1 0.0000 50.11141 0.0000 -9.345278 -0.056042 4.965715 -0.90851-1.254211 1.1 0.0000 49.2029 0.0000 67.79768 0.406568 3.992288 -18.56002

-0.92004 1.2 0.0000 30.64287 0.0000 116.1277 0.696393 1.638167 -28.5224-0.283053 1.3 0.0000 2.120468 0.0000 119.9057 0.719049 -1.170531 -27.651560.4173882 1.4 0.0000 -25.5311 0.0000 80.32442 0.481688 -3.397178 -16.881380.9330678 1.5 0.0000 -42.41247 0.0000 14.10908 0.084609 -4.273951 -0.6540791.0941174 1.6 0.0000 -43.06655 0.0000 -53.38991 -0.320168 -3.562703 14.879040.8639994 1.7 0.0000 -28.18751 0.0000 -97.8124 -0.58656 -1.61031 24.168820.3448558 1.8 0.0000 -4.018693 0.0000 -104.4967 -0.626644 0.809648 24.23035-0.265886 1.9 0.0000 20.21166 0.0000 -73.19947 -0.438962 2.799671 15.57011-0.749779 2 0.0000 35.78176 0.0000 -17.35729 -0.104088 3.668361 1.803696-0.944839 2.1 0.0000 37.58546 0.0000 41.53146 0.249055 3.167389 -11.82314-0.798987 2.2 0.0000 25.76232 0.0000 82.10367 0.492358 1.555464 -20.41536-0.382135 2.3 0.0000 5.346959 0.0000 90.81036 0.54457 -0.523795 -21.169820.1450272 2.4 0.0000 -15.82286 0.0000 66.34411 0.397851 -2.295486 -14.264010.5922089 2.5 0.0000 -30.08686 0.0000 19.40823 0.116387 -3.13976 -2.6214760.8076433 2.6 0.0000 -32.70834 0.0000 -31.82232 -0.190832 -2.805965 9.2973790.7289602 2.7 0.0000 -23.41096 0.0000 -68.66842 -0.41179 -1.481684 17.188240.4000033 2.8 0.0000 -6.222716 0.0000 -78.69654 -0.471926 0.299861 18.44266

0 2 4 6 8 10 12 14 16 18 20

-1.5

-1

-0.5

0

0.5

1

1.5

2

DESPLAZAMIENTO vs TIEMPO

Column J

0 2 4 6 8 10 12 14 16 18 20

-1.5

-1

-0.5

0

0.5

1

1.5

2

DESPLAZAMIENTO vs TIEMPO

Column U

L19
el tiempo lo vamos a variar
M19
ESTE ES EL DATO QUE VA A VARIAR
O19
este dato no es igual al de la segunda columna?
R19
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S19
uí es cual el de la ultima columna o el fijo de datos?
N20
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 19: Hojas de Calculo Fransua

-0.050393 2.9 0.0000 12.21994 0.0000 -59.83466 -0.358816 1.871465 12.98942-0.458138 3 0.0000 25.20936 0.0000 -20.52427 -0.12308 2.679679 3.174858-0.683163 3.1 0.0000 28.38421 0.0000 23.91915 0.143438 2.477429 -7.219845-0.657023 3.2 0.0000 21.16437 0.0000 57.2105 0.343079 1.395368 -14.42137-0.402817 3.3 0.0000 6.742996 0.0000 68.01014 0.407842 -0.126774 -16.02148-0.022031 3.4 0.0000 -9.278481 0.0000 53.72063 0.322151 -1.516112 -11.765280.3452741 3.5 0.0000 -21.04376 0.0000 20.92057 0.125456 -2.280359 -3.5196550.5715365 3.6 0.0000 -24.56342 0.0000 -17.52803 -0.105112 -2.180339 5.5200490.5855591 3.7 0.0000 -19.04337 0.0000 -47.46753 -0.284653 -1.301547 12.055790.3942469 3.8 0.0000 -6.987576 0.0000 -58.61291 -0.351489 -0.004788 13.87940.0758509 3.9 0.0000 6.891826 0.0000 -48.03051 -0.288029 1.219415 10.60464-0.251335 4 0.0000 17.49647 0.0000 -20.77257 -0.124569 1.934739 3.701841-0.472525 4.1 0.0000 21.19831 0.0000 12.39812 0.074349 1.912956 -4.137509-0.516346 4.2 0.0000 17.0608 0.0000 39.20782 0.235121 1.204125 -10.03911-0.377353 4.3 0.0000 7.021697 0.0000 50.37457 0.302085 0.102644 -11.99051-0.114268 4.4 0.0000 -4.968812 0.0000 42.77655 0.256522 -0.972674 -9.5158630.1741033 4.5 0.0000 -14.48468 0.0000 20.22244 0.12127 -1.636422 -3.7590920.3856172 4.6 0.0000 -18.24377 0.0000 -8.315914 -0.049869 -1.673353 3.0204710.4506592 4.7 0.0000 -15.2233 0.0000 -32.22743 -0.193261 -1.106084 8.324905

0.354654 4.8 0.0000 -6.898391 0.0000 -43.1736 -0.258903 -0.173332 10.330130.1400957 4.9 0.0000 3.431744 0.0000 -37.9586 -0.22763 0.768357 8.503645

-0.11147 5 0.0000 11.93539 0.0000 -19.38454 -0.116245 1.379644 3.722107-0.310105 5.1 0.0000 15.6575 0.0000 5.100272 0.030585 1.459511 -2.124779-0.389364 5.2 0.0000 13.53272 0.0000 26.34744 0.158 1.00966 -6.872237-0.328197 5.3 0.0000 6.66048 0.0000 36.89755 0.221267 0.222294 -8.875075-0.155782 5.4 0.0000 -2.214595 0.0000 33.56733 0.201296 -0.599953 -7.5698720.0614645 5.5 0.0000 -9.784466 0.0000 18.35011 0.110042 -1.159234 -3.6157390.2451572 5.6 0.0000 -13.40021 0.0000 -2.597956 -0.015579 -1.269377 1.4128650.3329926 5.7 0.0000 -11.98734 0.0000 -21.41132 -0.128399 -0.916481 5.6450650.2996179 5.8 0.0000 -6.342275 0.0000 -31.44309 -0.188557 -0.254042 7.6037040.1634329 5.9 0.0000 1.261429 0.0000 -29.58678 -0.177426 0.461857 6.714283-0.022271 6 0.0000 7.975712 0.0000 -17.19126 -0.103092 0.970569 3.459962-0.189867 6.1 0.0000 11.43567 0.0000 0.679762 0.004076 1.100924 -0.852866-0.281816 6.2 0.0000 10.58281 0.0000 17.28253 0.10364 0.827692 -4.611783-0.270203 6.3 0.0000 5.971025 0.0000 26.71589 0.160209 0.272301 -6.496031-0.164846 6.4 0.0000 -0.525006 0.0000 25.99632 0.155894 -0.349252 -5.935029-0.007762 6.5 0.0000 -6.460035 0.0000 15.96432 0.095735 -0.809538 -3.2706960.1432977 6.6 0.0000 -9.730732 0.0000 0.76288 0.004575 -0.952181 0.417840.2358976 6.7 0.0000 -9.312891 0.0000 -13.84229 -0.083009 -0.744052 3.744751

0.240941 6.8 0.0000 -5.568141 0.0000 -22.6303 -0.135709 -0.280129 5.5337030.1615352 6.9 0.0000 -0.034437 0.0000 -22.77238 -0.136561 0.258012 5.229116

0.030116 7 0.0000 5.194679 0.0000 -14.71265 -0.088229 0.672493 3.060503-0.104515 7.1 0.0000 8.255182 0.0000 -1.820884 -0.010919 0.821264 -0.08508-0.195148 7.2 0.0000 8.170102 0.0000 10.9876 0.06589 0.666017 -3.019868-0.212569 7.3 0.0000 5.150235 0.0000 19.10897 0.114592 0.280025 -4.699977-0.154764 7.4 0.0000 0.450258 0.0000 19.8896 0.119274 -0.184612 -4.592762-0.046109 7.5 0.0000 -4.142504 0.0000 13.4691 0.080771 -0.556209 -2.83918

0.07261 7.6 0.0000 -6.981684 0.0000 2.570087 0.015412 -0.706393 -0.164488

0 5 10 15 20 25

-6.0000

-4.0000

-2.0000

0.0000

2.0000

4.0000

6.0000

CARGA vs TIEMPO

Column D

TIEMPO

CARG

A

0 2 4 6 8 10 12 14 16 18 20

-1.5

-1

-0.5

0

0.5

1

1.5

2

DESPLAZAMIENTO vs TIEMPO

Column J

0 5 10 15 20 25

-10

-8

-6

-4

-2

0

2

4

6

8

10

VELOCIDAD vs TIEMPO

Column I

0 5 10 15 20 25

-60

-40

-20

0

20

40

60

Column C

0 2 4 6 8 10 12 14 16 18 20

-1.5

-1

-0.5

0

0.5

1

1.5

2

DESPLAZAMIENTO vs TIEMPO

Column U

0 5 10 15 20 25

-6.0000

-4.0000

-2.0000

0.0000

2.0000

4.0000

6.0000

CARGA vs TIEMPO

Column O

TIEMPO

CARG

A

0 5 10 15 20 25

-10

-8

-6

-4

-2

0

2

4

6

8

10

VELOCIDAD vs TIEMPO

VELOCIDAD VS TIEMPO

0 5 10 15 20 25

-80

-60

-40

-20

0

20

40

60

Column N

Page 20: Hojas de Calculo Fransua

0.1593619 7.7 0.0000 -7.146173 0.0000 -8.629349 -0.051748 -0.593808 2.4161780.1856189 7.8 0.0000 -4.729995 0.0000 -16.08236 -0.096442 -0.274016 3.9796620.1455729 7.9 0.0000 -0.750333 0.0000 -17.32191 -0.103876 0.126051 4.0216770.0569006 8 0.0000 3.271344 0.0000 -12.25791 -0.073508 0.457847 2.614257-0.046718 8.1 0.0000 5.885601 0.0000 -3.073496 -0.018431 0.605901 0.346828-0.128253 8.2 0.0000 6.232429 0.0000 6.690688 0.040123 0.527467 -1.915511-0.160451 8.3 0.0000 4.316917 0.0000 13.48821 0.080886 0.263739 -3.359046-0.134808 8.4 0.0000 0.957871 0.0000 15.04321 0.090211 -0.079777 -3.511285-0.063498 8.5 0.0000 -2.553413 0.0000 11.09648 0.066543 -0.374912 -2.3914170.0260284 8.6 0.0000 -4.944831 0.0000 3.383231 0.020289 -0.518245 -0.475248

0.101483 8.7 0.0000 -5.420079 0.0000 -5.105502 -0.030617 -0.4669 1.5021580.13729 8.8 0.0000 -3.917921 0.0000 -11.27099 -0.06759 -0.250502 2.825808

0.1231457 8.9 0.0000 -1.092113 0.0000 -13.02793 -0.078126 0.043633 3.0568920.0667692 9 0.0000 1.964779 0.0000 -9.99669 -0.059948 0.30522 2.174848-0.009797 9.1 0.0000 4.139627 0.0000 -3.5422 -0.021242 0.442003 0.560802-0.078682 9.2 0.0000 4.70043 0.0000 3.817078 0.02289 0.411915 -1.162569

-0.11625 9.3 0.0000 3.53786 0.0000 9.381394 0.056258 0.23534 -2.368923-0.111119 9.4 0.0000 1.168937 0.0000 11.25149 0.067473 -0.015797 -2.65382-0.067456 9.5 0.0000 -1.484883 0.0000 8.966093 0.053768 -0.246865 -1.967534-0.002656 9.6 0.0000 -3.452417 0.0000 3.585545 0.021502 -0.375873 -0.6126270.0594675 9.7 0.0000 -4.065044 0.0000 -2.776903 -0.016652 -0.36225 0.8850970.0973624 9.8 0.0000 -3.179947 0.0000 -7.775752 -0.04663 -0.219066 1.9785650.0991379 9.9 0.0000 -1.201382 0.0000 -9.69049 -0.058112 -0.005263 2.2974960.0661826 10 0.0000 1.096114 0.0000 -8.008841 -0.048027 0.198187 1.7715030.0119402 10.1 0.0000 2.867617 0.0000 -3.541881 -0.02124 0.318674 0.63824-0.043457 10.2 0.0000 3.505857 0.0000 1.9436 0.011655 0.317598 -0.659752-0.080592 10.3 0.0000 2.846105 0.0000 6.415544 0.038473 0.20231 -1.646009-0.087508 10.4 0.0000 1.200096 0.0000 8.322971 0.049911 0.020833 -1.983527-0.063471 10.5 0.0000 -0.783431 0.0000 7.126474 0.042736 -0.157744 -1.588024-0.018598 10.6 0.0000 -2.371455 0.0000 3.434357 0.020595 -0.269335 -0.6437930.0302768 10.7 0.0000 -3.015248 0.0000 -1.281976 -0.007688 -0.277625 0.4779920.0658564 10.8 0.0000 -2.537257 0.0000 -5.266888 -0.031584 -0.185549 1.3635350.0764515 10.9 0.0000 -1.173722 0.0000 -7.128475 -0.042748 -0.031985 1.7077430.0597503 11 0.0000 0.534021 0.0000 -6.318551 -0.037891 0.124291 1.4177770.0231053 11.1 0.0000 1.951798 0.0000 -3.281561 -0.019679 0.226895 0.634294-0.019573 11.2 0.0000 2.586092 0.0000 0.762195 0.004571 0.241983 -0.332534-0.053041 11.3 0.0000 2.253558 0.0000 4.300076 0.025787 0.169139 -1.124332-0.066118 11.4 0.0000 1.129226 0.0000 6.088105 0.036509 0.039611 -1.466233-0.055371 11.5 0.0000 -0.337007 0.0000 5.58317 0.033481 -0.09675 -1.260987-0.025879 11.6 0.0000 -1.597994 0.0000 3.098293 0.01858 -0.190489 -0.6137870.0110138 11.7 0.0000 -2.211781 0.0000 -0.359034 -0.002153 -0.210319 0.217186

0.042007 11.8 0.0000 -1.994595 0.0000 -3.489139 -0.020924 -0.153339 0.9224150.0566021 11.9 0.0000 -1.07218 0.0000 -5.184529 -0.031091 -0.04445 1.2553560.0506125 12 0.0000 0.183176 0.0000 -4.917375 -0.029488 0.074195 1.1175390.0272755 12.1 0.0000 1.300715 0.0000 -2.896217 -0.017368 0.159347 0.585518-0.004292 12.2 0.0000 1.886234 0.0000 0.051246 0.000307 0.182288 -0.126701-0.032604 12.3 0.0000 1.759533 0.0000 2.811436 0.01686 0.138326 -0.752536-0.047953 12.4 0.0000 1.006997 0.0000 4.401944 0.026398 0.047112 -1.071754

0 5 10 15 20 25

-60

-40

-20

0

20

40

60

Column C 0 5 10 15 20 25

-80

-60

-40

-20

0

20

40

60

Column N

Page 21: Hojas de Calculo Fransua

-0.045696 12.5 0.0000 -0.064758 0.0000 4.317495 0.025891 -0.055829 -0.987063-0.027601 12.6 0.0000 -1.05182 0.0000 2.684418 0.016098 -0.132786 -0.55207-0.000871 12.7 0.0000 -1.60389 0.0000 0.179012 0.001073 -0.157557 0.0566440.0246767 12.8 0.0000 -1.547246 0.0000 -2.24729 -0.013477 -0.124219 0.610110.0401834 12.9 0.0000 -0.937136 0.0000 -3.726019 -0.022344 -0.048096 0.912350.0407904 13 0.0000 -0.024786 0.0000 -3.779397 -0.022664 0.040972 0.8690080.0271142 13.1 0.0000 0.844222 0.0000 -2.469863 -0.014811 0.110196 0.5154730.0047267 13.2 0.0000 1.359695 0.0000 -0.346667 -0.002079 0.135805 -0.003282-0.018067 13.3 0.0000 1.356412 0.0000 1.779643 0.010672 0.111084 -0.491141-0.033282 13.4 0.0000 0.865271 0.0000 3.143827 0.018853 0.04781 -0.774339-0.036024 13.5 0.0000 0.090933 0.0000 3.298697 0.019782 -0.029042 -0.762702-0.026029 13.6 0.0000 -0.671769 0.0000 2.257801 0.01354 -0.091042 -0.477306-0.007497 13.7 0.0000 -1.149075 0.0000 0.464156 0.002783 -0.116733 -0.036520.0126226 13.8 0.0000 -1.185595 0.0000 -1.393753 -0.008358 -0.098952 0.3921580.0272143 13.9 0.0000 -0.793437 0.0000 -2.643757 -0.015854 -0.046585 0.6551790.0314876 14 0.0000 -0.138259 0.0000 -2.870916 -0.017216 0.019544 0.6673960.0245236 14.1 0.0000 0.529137 0.0000 -2.052087 -0.012306 0.074853 0.438779

0.00938 14.2 0.0000 0.967916 0.0000 -0.541806 -0.003249 0.100061 0.065382-0.008198 14.3 0.0000 1.033298 0.0000 1.07691 0.006458 0.087822 -0.310151-0.021935 14.4 0.0000 0.723147 0.0000 2.215424 0.013285 0.044686 -0.552579-0.027245 14.5 0.0000 0.170568 0.0000 2.491597 0.014942 -0.012058 -0.582298-0.022742 14.6 0.0000 -0.41173 0.0000 1.855456 0.011127 -0.061213 -0.4008-0.010545 14.7 0.0000 -0.81253 0.0000 0.588148 0.003527 -0.085527 -0.0854880.0046571 14.8 0.0000 -0.898017 0.0000 -0.818187 -0.004906 -0.077676 0.2425220.0173872 14.9 0.0000 -0.655495 0.0000 -1.849576 -0.011092 -0.042325 0.4644820.0233354 15 0.0000 -0.191013 0.0000 -2.156395 -0.012931 0.006229 0.506604

0.020801 15.1 0.0000 0.315591 0.0000 -1.669752 -0.010013 0.049761 0.3640330.0111411 15.2 0.0000 0.679624 0.0000 -0.610197 -0.003659 0.072895 0.098647-0.001874 15.3 0.0000 0.778271 0.0000 0.608219 0.003647 0.068476 -0.187031

-0.01351 15.4 0.0000 0.59124 0.0000 1.538001 0.009223 0.039672 -0.38905-0.01978 15.5 0.0000 0.20219 0.0000 1.86114 0.011161 -0.001757 -0.439514

-0.018791 15.6 0.0000 -0.237324 0.0000 1.496118 0.008972 -0.04018 -0.328947-0.011293 15.7 0.0000 -0.566271 0.0000 0.613691 0.00368 -0.061945 -0.106356-0.000267 15.8 0.0000 -0.672628 0.0000 -0.439 -0.002633 -0.060175 0.1417520.0102391 15.9 0.0000 -0.530876 0.0000 -1.273436 -0.007637 -0.036855 0.3246450.0165841 16 0.0000 -0.20623 0.0000 -1.601883 -0.009606 -0.00161 0.3802520.0167828 16.1 0.0000 0.174022 0.0000 -1.335147 -0.008007 0.032195 0.2958570.0111078 16.2 0.0000 0.469878 0.0000 -0.603295 -0.003618 0.05248 0.109844

0.001868 16.3 0.0000 0.579722 0.0000 0.303706 0.001821 0.05272 -0.105036-0.00751 16.4 0.0000 0.474686 0.0000 1.049477 0.006293 0.033978 -0.269815

-0.013744 16.5 0.0000 0.204871 0.0000 1.37492 0.008245 0.004083 -0.328074-0.014829 16.6 0.0000 -0.123203 0.0000 1.187015 0.007118 -0.025568 -0.264952-0.010674 16.7 0.0000 -0.388155 0.0000 0.582777 0.003495 -0.044321 -0.110114-0.003021 16.8 0.0000 -0.498269 0.0000 -0.196537 -0.001179 -0.046053 0.0754740.0052616 16.9 0.0000 -0.422795 0.0000 -0.860495 -0.00516 -0.031116 0.2232750.0112455 17 0.0000 -0.19952 0.0000 -1.176809 -0.007057 -0.005838 0.2822750.0129683 17.1 0.0000 0.082755 0.0000 -1.051579 -0.006306 0.020092 0.23633

0.010065 17.2 0.0000 0.319085 0.0000 -0.555158 -0.003329 0.037308 0.107984

Page 22: Hojas de Calculo Fransua

0.0038071 17.3 0.0000 0.427068 0.0000 0.112578 0.000675 0.040114 -0.051864-0.003433 17.4 0.0000 0.375204 0.0000 0.701559 0.004207 0.028326 -0.183894-0.009071 17.5 0.0000 0.19131 0.0000 1.004376 0.006023 0.007021 -0.242195-0.011226 17.6 0.0000 -0.050885 0.0000 0.928466 0.005568 -0.015589 -0.210013-0.009341 17.7 0.0000 -0.260899 0.0000 0.522835 0.003135 -0.031295 -0.10411-0.004297 17.8 0.0000 -0.365009 0.0000 -0.04768 -0.000286 -0.034842 0.0331860.0019678 17.9 0.0000 -0.331822 0.0000 -0.56836 -0.003408 -0.025648 0.1506770.0071964 18 0.0000 -0.181145 0.0000 -0.854715 -0.005126 -0.007753 0.2072240.0096203 18.1 0.0000 0.026079 0.0000 -0.817134 -0.0049 0.011906 0.185970.0085487 18.2 0.0000 0.212049 0.0000 -0.487695 -0.002925 0.026156 0.0990210.0045503 18.3 0.0000 0.31107 0.0000 -0.001651 -9.9E-06 0.030178 -0.018576-0.000815 18.4 0.0000 0.292494 0.0000 0.457146 0.002741 0.023112 -0.122753-0.005598 18.5 0.0000 0.16974 0.0000 0.725178 0.004349 0.008134 -0.176796-0.008159 18.6 0.0000 -0.007055 0.0000 0.716933 0.004299 -0.008912 -0.16413-0.007727 18.7 0.0000 -0.171185 0.0000 0.451202 0.002706 -0.021775 -0.093135

-0.00462 18.8 0.0000 -0.26432 0.0000 0.038347 0.00023 -0.026067 0.007304-7.218E-05 18.9 0.0000 -0.257016 0.0000 -0.364656 -0.002187 -0.020733 0.0993620.0042482 19 0.0000 -0.157654 0.0000 -0.61337 -0.003678 -0.008246 0.1503950.0068442 19.1 0.0000 -0.007258 0.0000 -0.627141 -0.003761 0.006494 0.144392

0.006905 19.2 0.0000 0.137134 0.0000 -0.414474 -0.002486 0.018052 0.0867790.0045502 19.3 0.0000 0.223913 0.0000 -0.064858 -0.000389 0.022453 0.0012430.0007369 19.4 0.0000 0.225156 0.0000 0.288068 0.001727 0.018524 -0.079841-0.003122 19.5 0.0000 0.145315 0.0000 0.517129 0.003101 0.008154 -0.127553-0.005675 19.6 0.0000 0.017762 0.0000 0.547003 0.00328 -0.004556 -0.126638-0.006104 19.7 0.0000 -0.108876 0.0000 0.37835 0.002269 -0.014898 -0.080209-0.004377 19.8 0.0000 -0.189085 0.0000 0.083224 0.000499 -0.019288 -0.007581-0.001217 19.9 0.0000 -0.196666 0.0000 -0.22494 -0.001349 -0.016486 0.0636150.0021929 20 0.0000 -0.133051 0.0000 -0.434518 -0.002606 -0.007913 0.107844

Page 23: Hojas de Calculo Fransua

positivo negativo1.478181 -1.2767947.545326 -8.77578850.11141 -56.04473

METODO DE ACELERACION LINEALU´i Ui

0 00.899518 0.0299842.981868 0.2193314.771559 0.6166024.741893 1.1129982.108241 1.478181

-2.691122 1.462456-7.146804 0.951413-8.775788 0.127318-7.153871 -0.695381-3.050845 -1.220752

1.91487 -1.2767945.907159 -0.8702267.545326 -0.1738336.374794 0.5452162.977616 1.026904

-1.296335 1.111513-4.859038 0.791346-6.469348 0.204786

-5.6597 -0.421859-2.860029 -0.860820.808332 -0.9649083.975721 -0.7158535.531185 -0.223495

5.00739 0.3210752.711904 0.718927

-0.427856 0.835314-3.233821 0.644482-4.715505 0.232692

0 2 4 6 8 10 12 14 16 18 20

-1.5

-1

-0.5

0

0.5

1

1.5

2

DESPLAZAMIENTO vs TIEMPO

Column U

T20
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 24: Hojas de Calculo Fransua

-4.415643 -0.239234-2.544179 -0.59805

0.1355 -0.7211292.612929 -0.5776914.008297 -0.2346123.881523 0.173232.365411 0.4953810.085052 0.620837

-2.095288 0.515726-3.396835 0.231073-3.401622 -0.120416-2.182208 -0.408445-0.247469 -0.5330141.665487 -0.4586652.869612 -0.2235442.972256 0.0785421.999582 0.335063

0.36316 0.456333-1.310194 0.406464-2.416278 0.213203

-2.58961 -0.045699-1.821254 -0.273329-0.441609 -0.3895741.017901 -0.3589892.027561 -0.2009892.249855 0.0202781.649902 0.2215740.490669 0.331616

-0.778709 0.316036-1.695189 0.187637-1.949232 -0.00092-1.487375 -0.178346-0.516805 -0.2814380.584119 -0.277362

1.41181 -0.1737221.684111 -0.0135131.334859 0.1423820.525321 0.238116-0.42686 0.242691

-1.170912 0.159682-1.451041 0.023973-1.193029 -0.112588-0.520536 -0.2008170.300729 -0.2117360.966745 -0.145846

1.24677 -0.0312541.062158 0.088020.505948 0.168791

0 2 4 6 8 10 12 14 16 18 20

-1.5

-1

-0.5

0

0.5

1

1.5

2

DESPLAZAMIENTO vs TIEMPO

Column U

0 5 10 15 20 25

-6.0000

-4.0000

-2.0000

0.0000

2.0000

4.0000

6.0000

CARGA vs TIEMPO

Column O

TIEMPO

CARG

A

0 5 10 15 20 25

-10

-8

-6

-4

-2

0

2

4

6

8

10

VELOCIDAD vs TIEMPO

VELOCIDAD VS TIEMPO

0 5 10 15 20 25

-80

-60

-40

-20

0

20

40

60

Column N

Page 25: Hojas de Calculo Fransua

-0.200445 0.184204-0.794253 0.132455-1.068269 0.036013-0.942219 -0.067863-0.484371 -0.141371

0.12153 -0.1598020.648997 -0.119680.912737 -0.038794

0.83296 0.0514170.458047 0.11796

-0.060198 0.138249-0.527098 0.107632

-0.7776 0.040043-0.733966 -0.038083-0.428746 -0.0980310.013257 -0.1192730.425171 -0.0963830.660511 -0.0401250.644714 0.0273480.397849 0.0811160.021976 0.102618

-0.340274 0.085965-0.55934 0.039336

-0.564604 -0.018776-0.366417 -0.066803-0.047743 -0.0880430.269855 -0.0763880.472165 -0.0379150.492998 0.0119960.335254 0.0547320.065919 0.075327

-0.211707 0.067639-0.397256 0.036055-0.429241 -0.006693

-0.30495 -0.044584-0.078055 -0.0642630.163927 -0.0596920.333067 -0.0339060.372678 0.0026030.275927 0.0360840.085439 0.054664-0.12488 0.052511

-0.278219 0.031588-0.322669 0.000497-0.248474 -0.028991-0.089127 -0.0463590.093161 -0.0460520.231488 -0.029193

0 5 10 15 20 25

-80

-60

-40

-20

0

20

40

60

Column N

Page 26: Hojas de Calculo Fransua

0.2786 -0.0027950.222771 0.0230960.089985 0.039194

-0.067571 0.040267-0.19179 0.026791

-0.239887 0.004447-0.198915 -0.018217-0.088719 -0.0330290.047086 -0.0351080.158171 -0.0244350.205981 -0.0055830.176939 0.0141990.085897 0.027739

-0.030837 0.030522-0.129788 0.022164-0.176373 0.00631-0.156829 -0.010906-0.081976 -0.0232120.018084 -0.0264610.105907 -0.0200030.150592 -0.0067180.138534 0.0082240.077321 0.01935

-0.008206 0.022877-0.085882 0.017971-0.128207 0.006879-0.121978 -0.006052-0.072218 -0.0160650.000677 -0.0197240.069153 -0.0160770.108824 -0.0068540.107068 0.0043070.066888 0.0132790.004943 0.016959

-0.055232 0.014326-0.092088 0.00669-0.093698 -0.002916-0.061503 -0.010923-0.009023 -0.0145410.043698 -0.0127190.077675 -0.0064260.081759 0.0018190.056191 0.008937

0.01187 0.012432-0.034184 0.011254-0.065299 0.006093-0.071138 -0.000964-0.051046 -0.00727

Page 27: Hojas de Calculo Fransua

-0.013738 -0.0105990.026376 -0.0099240.054701 -0.0057170.061723 0.0003060.046133 0.0058740.014838 0.009009

-0.020004 0.008724-0.045652 0.005315-0.053405 0.00019-0.041499 -0.004711-0.015343 -0.0076350.014835 -0.0076450.037947 -0.0049040.046081 -0.0005550.037169 0.0037440.015394 0.00645

-0.010673 0.00668-0.031406 0.004493-0.039652 0.000815-0.033158 -0.002946-0.015106 -0.0054310.007348 -0.005820.025871 -0.0040930.034025 -0.0009920.029469 0.0022890.014571 0.004558

-0.004716 0.005057-0.021202 0.003708

Page 28: Hojas de Calculo Fransua

Masa 9K 3000

µ(0) 2µ'(0) 100ωn 18.25742ωd 18.1659ξ 0.1

Duración 4Variación 0.05

T 0.344144

t u(t)0 2

0.05 5.2291550.1 4.205339

0.15 0.3654590.2 -3.093207

0.25 -3.7776960.3 -1.664784

0.35 1.2779720.4 2.821948

0.45 2.1039310.5 0.011381

0.55 -1.7400540.6 -1.963311

0.65 -0.7548350.7 0.788108

0.75 1.5138020.8 1.04319

0.85 -0.0898320.9 -0.969973

0.95 -1.0142991 -0.330804

1.05 0.4735911.1 0.807374

1.15 0.5120051.2 -0.097734

1.25 -0.5363041.3 -0.520768

1.35 -0.1379391.4 0.278978

1.45 0.4281721.5 0.248352

1.55 -0.0778561.6 -0.294329

1.65 -0.265625

0 1 2 3 4 5 6

-6

-4

-2

0

2

4

6

VIBRACION AMORTIGUADA

TIEMPO

U (t

)

B14
ESTA FORMULA ES DE VIBRACION AMORTIGUADA O DE VIBRACION FORZADA?
Page 29: Hojas de Calculo Fransua

1.7 -0.0530471.75 0.1617351.8 0.225799

1.85 0.1187951.9 -0.054729

1.95 -0.1604232 -0.134536

2.05 -0.0174122.1 0.092534

2.15 0.1184092.2 0.055864

2.25 -0.0359222.3 -0.086877

2.35 -0.0676222.4 -0.003551

2.45 0.052352.5 0.06174

2.55 0.0257112.6 -0.022567

2.65 -0.046762.7 -0.033704

2.75 0.0011132.8 0.029329

2.85 0.0320052.9 0.011503

2.95 -0.0137483 -0.02502

3.05 -0.016643.1 0.00216

3.15 0.0162893.2 0.016491

3.25 0.0049463.3 -0.008186

3.35 -0.0133113.4 -0.008127

3.45 0.0019643.5 0.008977

3.55 0.0084433.6 0.002002

3.65 -0.0047873.7 -0.007042

3.75 -0.003923.8 0.001466

3.85 0.0049113.9 0.004294

3.95 0.0007294 -0.002758

4.05 -0.003705

Page 30: Hojas de Calculo Fransua

4.1 -0.0018624.15 0.0009964.2 0.002669

4.25 0.0021684.3 0.00021

4.35 -0.001574.4 -0.001938

4.45 -0.0008684.5 0.00064

4.55 0.0014424.6 0.001086

4.65 1.792E-054.7 -0.000884

4.75 -0.0010084.8 -0.000395

4.85 0.0003964.9 0.000774

4.95 0.0005395 -3.96E-05

Page 31: Hojas de Calculo Fransua

0 1 2 3 4 5 6

-6

-4

-2

0

2

4

6

VIBRACION AMORTIGUADA

TIEMPO

U (t

)

Page 32: Hojas de Calculo Fransua

Masa M 0.0025Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.0159

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 0 MAX Uivelocidad inicial Ůo 0 MAX U´iaceleracion inicial ϋ o MAX U´´i

periodo de la estru T 0.1

CALCULOS INICIALES WnÜo 0 TnΔt 0.1 estabilidad^K 11.33 12.0 NO ESTABLEa 0.13 0.20b 0.01 0.0084

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 0 5.0000 5 0.441247003 8.824940060.1 5.0000 176.49880122 3.6603 5.7294673 0.5056220594 -7.537438930.2 8.6603 -327.2475799 1.3397 -0.146676 -0.0129440755 -2.833883760.3 10.0000 270.56990459 -1.3397 -0.174927 -0.0154372047 2.784021180.4 8.6603 -214.889481 -3.6603 -4.584103 -0.4045443072 -10.56616320.5 5.0000 3.5662162814 -5.0000 -6.224047 -0.5492683874 7.671681630.6 0.0000 149.86741632 0.0000 0.5386249 0.0475333288 4.264352690.7 0.0000 -64.58036242 0.0000 0.0200276 0.0017674267 -5.179670740.8 0.0000 -39.01305232 0.0000 -0.540131 -0.0476662608 4.190996990.9 0.0000 122.83299205 0.0000 0.8378307 0.073938059 -1.75891059

1 0.0000 -158.0112038 0.0000 -0.819145 -0.0722890871 -1.165632331.1 0.0000 134.69855717 0.0000 0.5085331 0.0448777443 3.508968961.2 0.0000 -64.51917794 0.0000 -0.033489 -0.0029553721 -4.465631291.3 0.0000 -24.79344782 0.0000 -0.426844 -0.0376687686 3.771363361.4 0.0000 100.22071497 0.0000 0.7086499 0.062537929 -1.767229411.5 0.0000 -135.5653031 0.0000 -0.721166 -0.0636425074 -0.756379321.6 0.0000 120.43771663 0.0000 0.4750464 0.041922564 2.867680751.7 0.0000 -63.08410165 0.0000 -0.072848 -0.0064287947 -3.834707921.8 0.0000 -13.61005681 0.0000 -0.332809 -0.0293702193 3.375879431.9 0.0000 81.127645446 0.0000 0.5966432 0.0526534055 -1.73540694

2 0.0000 -115.8357842 0.0000 -0.632258 -0.0557964236 -0.433589652.1 0.0000 107.16399124 0.0000 0.4397383 0.0388066388 2.325650892.2 0.0000 -60.65097336 0.0000 -0.100757 -0.0088917275 -3.279618222.3 0.0000 -4.941391043 0.0000 -0.255217 -0.0225227519 3.006997732.4 0.0000 65.081345682 0.0000 0.4999106 0.0441168069 -1.674206562.5 0.0000 -98.56547679 0.0000 -0.552058 -0.0487188028 -0.182505642.6 0.0000 94.915364048 0.0000 0.4038262 0.0356374198 1.869630092.7 0.0000 -57.52276228 0.0000 -0.119489 -0.0105448384 -2.79327525

CASOS

ESPECIA

LES

D4
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D6
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C7
estos son datos iniciales?
C9
esta es igual a la aceleracion del sismo?
G14
REVIZAR….
B15
caso de aceleracion promedio
C15
caso de aceleracion promedio
B16
este es para el caso de aceleracion promedio
C16
este es para el caso de aceleracion promedio
B17
para el caso de aceleracion promedio
C17
para el caso de aceleracion promedio
A20
el tiempo lo vamos a variar
B20
ESTE ES EL DATO QUE VA A VARIAR
D20
este dato no es igual al de la segunda columna?
C21
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 33: Hojas de Calculo Fransua

2.8 0.0000 1.6572572351 0.0000 -0.19161 -0.0169094899 2.665982222.9 0.0000 51.662387227 0.0000 0.4167 0.036773527 -1.59232189

3 0.0000 -83.50882493 0.0000 -0.480106 -0.0423691072 0.00946923.1 0.0000 83.698208956 0.0000 0.3682351 0.0324965283 1.487843513.2 0.0000 -53.94133882 0.0000 -0.130945 -0.0115558517 -2.368891113.3 0.0000 6.5635167112 0.0000 -0.139847 -0.0123414317 2.35317953.4 0.0000 40.500073366 0.0000 0.3454084 0.0304820812 -1.496709253.5 0.0000 -70.43425827 0.0000 -0.415882 -0.0367013029 0.153041563.6 0.0000 73.495089518 0.0000 0.3336508 0.029444483 1.169874163.7 0.0000 -50.09760639 0.0000 -0.136706 -0.0120642073 -2.000047963.8 0.0000 10.096647104 0.0000 -0.098069 -0.0086545223 2.068241663.9 0.0000 31.268186176 0.0000 0.2845782 0.0251138584 -1.39287405

4 0.0000 -59.12566715 0.0000 -0.358827 -0.0316662309 0.257272264.1 0.0000 64.271112379 0.0000 0.3005652 0.0265246956 0.906546274.2 0.0000 -46.14018698 0.0000 -0.138076 -0.0121851602 -1.680743394.3 0.0000 12.525319268 0.0000 -0.064668 -0.0057069222 1.810308144.4 0.0000 23.680843618 0.0000 0.2328929 0.0205526584 -1.285116534.5 0.0000 -49.38317425 0.0000 -0.30837 -0.0272134501 0.329794364.6 0.0000 55.979061468 0.0000 0.2693144 0.0237668305 0.689811254.7 0.0000 -42.18283644 0.0000 -0.13613 -0.0120133699 -1.405415264.8 0.0000 14.074531267 0.0000 -0.038261 -0.003376484 1.578152984.9 0.0000 17.488528246 0.0000 0.1891693 0.0166940778 -1.17674174

5 0.0000 -41.02336302 0.0000 -0.263941 -0.0232926454 0.377007275.1 0.0000 48.563508506 0.0000 0.2401106 0.0211896177 0.512637995.2 0.0000 -38.31074875 0.0000 -0.131741 -0.0116260337 -1.168951025.3 0.0000 14.931728426 0.0000 -0.017659 -0.0015584385 1.370302925.4 0.0000 12.474329966 0.0000 0.15235 0.0134447966 -1.070238225.5 0.0000 -33.87909432 0.0000 -0.224984 -0.0198546793 0.40424875.6 0.0000 41.964068324 0.0000 0.2130688 0.018803195 0.368908795.7 0.0000 -34.58589258 0.0000 -0.125617 -0.0110856084 -0.966684865.8 0.0000 15.252195447 0.0000 -0.00185 -0.0001632877 1.185131275.9 0.0000 8.4504299913 0.0000 0.1214944 0.0107218044 -0.96742943

6 0.0000 -27.79901861 0.0000 -0.190963 -0.0168523547 0.415946256.1 0.0000 36.117943616 0.0000 0.1882284 0.0166110467 0.253321786.2 0.0000 -31.05150805 0.0000 -0.118326 -0.0104421664 -0.794386046.3 0.0000 15.16378723 0.0000 0.0100296 0.0008851025 1.020931426.4 0.0000 5.2548411658 0.0000 0.0957695 0.0084515999 -0.869601476.5 0.0000 -22.64687062 0.0000 -0.161372 -0.0142409435 0.415750616.6 0.0000 30.961882724 0.0000 0.1655717 0.0146115991 0.161300256.7 0.0000 -27.73587778 0.0000 -0.110317 -0.0097354266 -0.648240766.8 0.0000 14.771062572 0.0000 0.0187108 0.001651218 0.875973656.9 0.0000 2.7484104588 0.0000 0.0744411 0.006569386 -0.77761029

7 0.0000 -18.30061629 0.0000 -0.135735 -0.0119785302 0.406651977.1 0.0000 26.433655668 0.0000 0.1450381 0.0127995243 0.088909127.2 0.0000 -24.65547326 0.0000 -0.101944 -0.0089964987 -0.524829587.3 0.0000 14.158881654 0.0000 0.0248096 0.0021894323 0.74854827.4 0.0000 0.8120823667 0.0000 0.0568647 0.0050182795 -0.691971267.5 0.0000 -14.65150749 0.0000 -0.113612 -0.010026208 0.39108151

Page 34: Hojas de Calculo Fransua

7.6 0.0000 22.473137604 0.0000 0.1265368 0.0111667974 0.03277867.7 0.0000 -21.81756555 0.0000 -0.093478 -0.0082493752 -0.421102057.8 0.0000 13.39552447 0.0000 0.028843 0.0025453749 0.636997067.9 0.0000 -0.655583366 0.0000 0.0424768 0.0037485494 -0.61293357

8 0.0000 -11.60308795 0.0000 -0.094597 -0.0083481615 0.370999358.1 0.0000 19.023074918 0.0000 0.1099559 0.0097035466 -0.009965198.2 0.0000 -19.22237864 0.0000 -0.085125 -0.0075122009 -0.334349768.3 0.0000 12.535383339 0.0000 0.0312426 0.0027571439 0.539736668.4 0.0000 -1.740650102 0.0000 0.0307865 0.0027168915 -0.540541718.5 0.0000 -9.070184108 0.0000 -0.07832 -0.0069116614 0.347970658.6 0.0000 16.02959717 0.0000 0.0951704 0.0083987294 -0.041762848.7 0.0000 -16.86485392 0.0000 -0.077036 -0.0067983511 -0.262178778.8 0.0000 11.621278442 0.0000 0.0323671 0.0028563768 0.455273338.9 0.0000 -2.515811798 0.0000 0.0213684 0.0018857479 -0.47468591

9 0.0000 -6.977906413 0.0000 -0.064442 -0.0056869946 0.323231069.1 0.0000 13.442527646 0.0000 0.0820477 0.0072406641 -0.064677899.2 0.0000 -14.7360854 0.0000 -0.069319 -0.0061173408 -0.202482219.3 0.0000 10.68644119 0.0000 0.0325123 0.0028691908 0.382212849.4 0.0000 -3.042184343 0.0000 0.0138547 0.0012226724 -0.415143219.5 0.0000 -5.260679872 0.0000 -0.052662 -0.0046473468 0.297742839.6 0.0000 11.215536411 0.0000 0.0704531 0.0062174421 -0.080447059.7 0.0000 -12.82447741 0.0000 -0.062047 -0.0054755887 -0.153413579.8 0.0000 9.7562060937 0.0000 0.031921 0.0028170071 0.319265489.9 0.0000 -3.370896461 0.0000 0.0079292 0.0006997464 -0.361610710 0.0000 -3.861317467 0.0000 -0.042705 -0.0037686518 0.27224273

10.1 0.0000 9.3061721035 0.0000 0.0602524 0.005317241 -0.0905248710.2 0.0000 -11.11666959 0.0000 -0.055264 -0.0048770569 -0.1133610810.3 0.0000 8.8494479031 0.0000 0.0307908 0.0027172681 0.2652475810.4 0.0000 -3.544496236 0.0000 0.0033206 0.0002930427 -0.3137320910.5 0.0000 -2.730145585 0.0000 -0.034328 -0.0030294202 0.2472828310.6 0.0000 7.6758022345 0.0000 0.0513155 0.0045285579 -0.0961232710.7 0.0000 -9.598267616 0.0000 -0.048995 -0.004323782 -0.0809235310.8 0.0000 7.9797970244 0.0000 0.0292813 0.0025840609 0.2190803910.9 0.0000 -3.598189267 0.0000 -0.000202 -1.786095E-05 -0.27111883

11 0.0000 -1.824187239 0.0000 -0.027315 -0.0024105547 0.2232649511.1 0.0000 6.2894862429 0.0000 0.0435173 0.0038403765 -0.0982463311.2 0.0000 -8.25441275 0.0000 -0.043245 -0.0038163148 -0.054887511.3 0.0000 7.1566627062 0.0000 0.0275204 0.0024286567 0.1797869311.4 0.0000 -3.560924063 0.0000 -0.002837 -0.0002503223 -0.2333665111.5 0.0000 -1.106406164 0.0000 -0.021475 -0.001895161 0.2004697411.6 0.0000 5.1158009288 0.0000 0.03674 0.0032422823 -0.0977208711.7 0.0000 -7.070218368 0.0000 -0.038007 -0.0033540816 -0.0342064111.8 0.0000 6.3860902298 0.0000 0.0256089 0.0022599745 0.1464875311.9 0.0000 -3.456339662 0.0000 -0.004748 -0.0004190302 -0.20006762

12 0.0000 -0.545012777 0.0000 -0.016639 -0.0014683583 0.1790810612.1 0.0000 4.1266339762 0.0000 0.0308731 0.0027245358 -0.0952231812.2 0.0000 -6.031097518 0.0000 -0.033266 -0.0029356785 -0.0179811112.3 0.0000 5.671475322 0.0000 0.023626 0.0020849802 0.11839428

Page 35: Hojas de Calculo Fransua

12.4 0.0000 -3.303589659 0.0000 -0.006078 -0.0005363584 -0.1708210512.5 0.0000 -0.112831412 0.0000 -0.012658 -0.0011170945 0.1592063312.6 0.0000 3.2969580248 0.0000 0.0258145 0.0022781127 -0.0913021912.7 0.0000 -5.123001768 0.0000 -0.028999 -0.0025591105 -0.0054422812.8 0.0000 5.0141562525 0.0000 0.0216322 0.0019090265 0.0948050212.9 0.0000 -3.118055931 0.0000 -0.006943 -0.0006126802 -0.14523915

13 0.0000 0.2132729257 0.0000 -0.009405 -0.0008299678 0.140893413.1 0.0000 2.604595038 0.0000 0.02147 0.0018947185 -0.0863996713.2 0.0000 -4.332588504 0.0000 -0.025178 -0.0022219825 0.0040656513.3 0.0000 4.4139015783 0.0000 0.0196731 0.0017361432 0.0750968613.4 0.0000 -2.911964385 0.0000 -0.007441 -0.0006566476 -0.1229526713.5 0.0000 0.4529108848 0.0000 -0.006766 -0.0005970579 0.1241444713.6 0.0000 2.0299784778 0.0000 0.017754 0.0015667841 -0.0808676313.7 0.0000 -3.647331014 0.0000 -0.021775 -0.0019216517 0.0110989113.8 0.0000 3.8693092304 0.0000 0.0177824 0.0015692818 0.0587197613.9 0.0000 -2.69491406 0.0000 -0.007654 -0.0006754371 -0.10361414

14 0.0000 0.6226313539 0.0000 -0.004643 -0.000409768 0.1089275214.1 0.0000 1.5559189579 0.0000 0.0145887 0.0012874467 -0.0749832214.2 0.0000 -3.055583378 0.0000 -0.018758 -0.0016553463 0.0161273614.3 0.0000 3.3781306093 0.0000 0.0159834 0.0014105234 0.0451900314.4 0.0000 -2.474329962 0.0000 -0.007648 -0.0006749653 -0.0868998114.5 0.0000 0.7363338302 0.0000 -0.002954 -0.0002606772 0.0951855714.6 0.0000 1.1673775475 0.0000 0.011904 0.0010505199 -0.0689616314.7 0.0000 -2.546610091 0.0000 -0.016094 -0.0014202578 0.0195460714.8 0.0000 2.9375315389 0.0000 0.0142919 0.0012612521 0.0340841314.9 0.0000 -2.255849013 0.0000 -0.00748 -0.0006600784 -0.07251074

15 0.0000 0.8056343056 0.0000 -0.001625 -0.0001434052 0.082844215.1 0.0000 0.8512496875 0.0000 0.009637 0.0008504574 -0.0629669515.2 0.0000 -2.11058865 0.0000 -0.013752 -0.0012136108 0.0216855815.3 0.0000 2.5443003123 0.0000 0.0127174 0.0011223001 0.0250326415.4 0.0000 -2.043647602 0.0000 -0.007192 -0.000634716 -0.0601729615.5 0.0000 0.8401884596 0.0000 -0.000595 -5.248842E-05 0.0718175115.6 0.0000 0.5961617052 0.0000 0.0077316 0.0006823117 -0.0571215115.7 0.0000 -1.738591832 0.0000 -0.011702 -0.0010327141 0.0228209915.8 0.0000 2.1950116332 0.0000 0.0112643 0.0009940686 0.0177146615.9 0.0000 -1.840718349 0.0000 -0.006822 -0.0006020543 -0.04963712

16 0.0000 0.8479759192 0.0000 0.0001896 1.6732312E-05 0.0620128516.1 0.0000 0.3922811485 0.0000 0.0061382 0.00054169 -0.051513716.2 0.0000 -1.42255514 0.0000 -0.009915 -0.0008749978 0.0231799416.3 0.0000 1.8861539959 0.0000 0.0099335 0.0008766271 0.0118525616.4 0.0000 -1.649102876 0.0000 -0.006398 -0.0005646292 -0.0406776816.5 0.0000 0.8355492403 0.0000 0.000773 6.82137E-05 0.0533345416.6 0.0000 0.2311415523 0.0000 0.0048126 0.0004247099 -0.0462046216.7 0.0000 -1.155233856 0.0000 -0.008363 -0.0007380381 0.0229496516.8 0.0000 1.6142269408 0.0000 0.008723 0.0007697954 0.0072070216.9 0.0000 -1.470086606 0.0000 -0.005943 -0.0005244425 -0.03309178

17 0.0000 0.8082511062 0.0000 0.0011932 0.000105301 0.0456866417.1 0.0000 0.1054817873 0.0000 0.0037162 0.0003279547 -0.04123357

Page 36: Hojas de Calculo Fransua

17.2 0.0000 -0.930153208 0.0000 -0.007021 -0.0006195728 0.0222830217.3 0.0000 1.3758136547 0.0000 0.0076285 0.0006732101 0.0035726417.4 0.0000 -1.304360944 0.0000 -0.005474 -0.0004830528 -0.0266978917.5 0.0000 0.7704030458 0.0000 0.0014823 0.0001308095 0.0389751417.6 0.0000 0.0090997892 0.0000 0.0028151 0.0002484298 -0.0366227317.7 0.0000 -0.741554488 0.0000 -0.005864 -0.0005175093 0.0213039517.8 0.0000 1.1676335418 0.0000 0.0066446 0.0005863784 0.000773817.9 0.0000 -1.152157527 0.0000 -0.005005 -0.0004416535 -0.02133444

18 0.0000 0.7254687593 0.0000 0.0016668 0.000147097 0.0331094518.1 0.0000 -0.063279792 0.0000 0.0020796 0.0001835218 -0.0323809518.2 0.0000 -0.584339265 0.0000 -0.004872 -0.0004299274 0.0201119718.3 0.0000 0.9865786633 0.0000 0.0057646 0.0005087211 -0.00133918.4 0.0000 -1.013358668 0.0000 -0.004546 -0.0004011383 -0.0168581918.5 0.0000 0.6761949089 0.0000 0.0017692 0.0001561279 0.0280035118.6 0.0000 -0.116124669 0.0000 0.001484 0.0001309584 -0.028506918.7 0.0000 -0.454013395 0.0000 -0.004024 -0.000355077 0.018786218.8 0.0000 0.8297373103 0.0000 0.0049814 0.0004396071 -0.0028925118.9 0.0000 -0.887587597 0.0000 -0.004104 -0.0003621576 -0.01314278

19 0.0000 0.6247320014 0.0000 0.0018077 0.0001595296 0.0235765319.1 0.0000 -0.153201488 0.0000 0.0010059 8.8772031E-05 -0.0249916819.2 0.0000 -0.346632073 0.0000 -0.003302 -0.0002913735 0.0173887719.3 0.0000 0.694407433 0.0000 0.0042876 0.0003783795 -0.0039937119.4 0.0000 -0.774281617 0.0000 -0.003685 -0.0003251656 -0.0100771919.5 0.0000 0.5727377574 0.0000 0.0017977 0.0001586423 0.0197533519.6 0.0000 -0.177670737 0.0000 0.0006262 5.5265829E-05 -0.0218208819.7 0.0000 -0.258746854 0.0000 -0.00269 -0.0002373898 0.0159677719.8 0.0000 0.5781021837 0.0000 0.0036757 0.0003243767 -0.0047324419.9 0.0000 -0.672750904 0.0000 -0.003291 -0.0002904595 -0.00756429

20 0.0000 0.5214651393 0.0000 0.0017514 0.0001545617 0.01646471

Masa M 0.0101Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.0318

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 0 MAX Uivelocidad inicial Ůo 0 MAX U´iaceleracion inicial ϋ o 0 MAX U´´i

periodo de la estru T 0.2

CALCULOS INICIALES WnÜo 0 TnΔt 0.1 estabilidad^K 14.69 17.0 NO ESTABLEa 0.47 0.70b 0.02 0.0320

CASOS

ESPECIA

LES

D226
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D228
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C229
estos son datos iniciales?
C231
esta es igual a la aceleracion del sismo?
G236
REVIZAR….
B237
caso de aceleracion promedio
C237
caso de aceleracion promedio
B238
este es para el caso de aceleracion promedio
C238
este es para el caso de aceleracion promedio
B239
para el caso de aceleracion promedio
C239
para el caso de aceleracion promedio
Page 37: Hojas de Calculo Fransua

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 0 5.0000 5 0.441247003 8.824940060.1 5.0000 176.49880122 3.6603 5.7294673 0.5056220594 -7.537438930.2 8.6603 -327.2475799 1.3397 -0.146676 -0.0129440755 -2.833883760.3 10.0000 270.56990459 -1.3397 -0.174927 -0.0154372047 2.784021180.4 8.6603 -214.889481 -3.6603 -4.584103 -0.4045443072 -10.56616320.5 5.0000 3.5662162814 -5.0000 -6.224047 -0.5492683874 7.671681630.6 0.0000 149.86741632 0.0000 0.5386249 0.0475333288 4.264352690.7 0.0000 -64.58036242 0.0000 0.0200276 0.0017674267 -5.179670740.8 0.0000 -39.01305232 0.0000 -0.540131 -0.0476662608 4.190996990.9 0.0000 122.83299205 0.0000 0.8378307 0.073938059 -1.75891059

1 0.0000 -158.0112038 0.0000 -0.819145 -0.0722890871 -1.165632331.1 0.0000 134.69855717 0.0000 0.5085331 0.0448777443 3.508968961.2 0.0000 -64.51917794 0.0000 -0.033489 -0.0029553721 -4.465631291.3 0.0000 -24.79344782 0.0000 -0.426844 -0.0376687686 3.771363361.4 0.0000 100.22071497 0.0000 0.7086499 0.062537929 -1.767229411.5 0.0000 -135.5653031 0.0000 -0.721166 -0.0636425074 -0.756379321.6 0.0000 120.43771663 0.0000 0.4750464 0.041922564 2.867680751.7 0.0000 -63.08410165 0.0000 -0.072848 -0.0064287947 -3.834707921.8 0.0000 -13.61005681 0.0000 -0.332809 -0.0293702193 3.375879431.9 0.0000 81.127645446 0.0000 0.5966432 0.0526534055 -1.73540694

2 0.0000 -115.8357842 0.0000 -0.632258 -0.0557964236 -0.433589652.1 0.0000 107.16399124 0.0000 0.4397383 0.0388066388 2.325650892.2 0.0000 -60.65097336 0.0000 -0.100757 -0.0088917275 -3.279618222.3 0.0000 -4.941391043 0.0000 -0.255217 -0.0225227519 3.006997732.4 0.0000 65.081345682 0.0000 0.4999106 0.0441168069 -1.674206562.5 0.0000 -98.56547679 0.0000 -0.552058 -0.0487188028 -0.182505642.6 0.0000 94.915364048 0.0000 0.4038262 0.0356374198 1.869630092.7 0.0000 -57.52276228 0.0000 -0.119489 -0.0105448384 -2.793275252.8 0.0000 1.6572572351 0.0000 -0.19161 -0.0169094899 2.665982222.9 0.0000 51.662387227 0.0000 0.4167 0.036773527 -1.59232189

3 0.0000 -83.50882493 0.0000 -0.480106 -0.0423691072 0.00946923.1 0.0000 83.698208956 0.0000 0.3682351 0.0324965283 1.487843513.2 0.0000 -53.94133882 0.0000 -0.130945 -0.0115558517 -2.368891113.3 0.0000 6.5635167112 0.0000 -0.139847 -0.0123414317 2.35317953.4 0.0000 40.500073366 0.0000 0.3454084 0.0304820812 -1.496709253.5 0.0000 -70.43425827 0.0000 -0.415882 -0.0367013029 0.153041563.6 0.0000 73.495089518 0.0000 0.3336508 0.029444483 1.169874163.7 0.0000 -50.09760639 0.0000 -0.136706 -0.0120642073 -2.000047963.8 0.0000 10.096647104 0.0000 -0.098069 -0.0086545223 2.068241663.9 0.0000 31.268186176 0.0000 0.2845782 0.0251138584 -1.39287405

4 0.0000 -59.12566715 0.0000 -0.358827 -0.0316662309 0.257272264.1 0.0000 64.271112379 0.0000 0.3005652 0.0265246956 0.906546274.2 0.0000 -46.14018698 0.0000 -0.138076 -0.0121851602 -1.680743394.3 0.0000 12.525319268 0.0000 -0.064668 -0.0057069222 1.810308144.4 0.0000 23.680843618 0.0000 0.2328929 0.0205526584 -1.285116534.5 0.0000 -49.38317425 0.0000 -0.30837 -0.0272134501 0.32979436

A242
el tiempo lo vamos a variar
B242
ESTE ES EL DATO QUE VA A VARIAR
D242
este dato no es igual al de la segunda columna?
C243
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 38: Hojas de Calculo Fransua

4.6 0.0000 55.979061468 0.0000 0.2693144 0.0237668305 0.689811254.7 0.0000 -42.18283644 0.0000 -0.13613 -0.0120133699 -1.405415264.8 0.0000 14.074531267 0.0000 -0.038261 -0.003376484 1.578152984.9 0.0000 17.488528246 0.0000 0.1891693 0.0166940778 -1.17674174

5 0.0000 -41.02336302 0.0000 -0.263941 -0.0232926454 0.377007275.1 0.0000 48.563508506 0.0000 0.2401106 0.0211896177 0.512637995.2 0.0000 -38.31074875 0.0000 -0.131741 -0.0116260337 -1.168951025.3 0.0000 14.931728426 0.0000 -0.017659 -0.0015584385 1.370302925.4 0.0000 12.474329966 0.0000 0.15235 0.0134447966 -1.070238225.5 0.0000 -33.87909432 0.0000 -0.224984 -0.0198546793 0.40424875.6 0.0000 41.964068324 0.0000 0.2130688 0.018803195 0.368908795.7 0.0000 -34.58589258 0.0000 -0.125617 -0.0110856084 -0.966684865.8 0.0000 15.252195447 0.0000 -0.00185 -0.0001632877 1.185131275.9 0.0000 8.4504299913 0.0000 0.1214944 0.0107218044 -0.96742943

6 0.0000 -27.79901861 0.0000 -0.190963 -0.0168523547 0.415946256.1 0.0000 36.117943616 0.0000 0.1882284 0.0166110467 0.253321786.2 0.0000 -31.05150805 0.0000 -0.118326 -0.0104421664 -0.794386046.3 0.0000 15.16378723 0.0000 0.0100296 0.0008851025 1.020931426.4 0.0000 5.2548411658 0.0000 0.0957695 0.0084515999 -0.869601476.5 0.0000 -22.64687062 0.0000 -0.161372 -0.0142409435 0.415750616.6 0.0000 30.961882724 0.0000 0.1655717 0.0146115991 0.161300256.7 0.0000 -27.73587778 0.0000 -0.110317 -0.0097354266 -0.648240766.8 0.0000 14.771062572 0.0000 0.0187108 0.001651218 0.875973656.9 0.0000 2.7484104588 0.0000 0.0744411 0.006569386 -0.77761029

7 0.0000 -18.30061629 0.0000 -0.135735 -0.0119785302 0.406651977.1 0.0000 26.433655668 0.0000 0.1450381 0.0127995243 0.088909127.2 0.0000 -24.65547326 0.0000 -0.101944 -0.0089964987 -0.524829587.3 0.0000 14.158881654 0.0000 0.0248096 0.0021894323 0.74854827.4 0.0000 0.8120823667 0.0000 0.0568647 0.0050182795 -0.691971267.5 0.0000 -14.65150749 0.0000 -0.113612 -0.010026208 0.391081517.6 0.0000 22.473137604 0.0000 0.1265368 0.0111667974 0.03277867.7 0.0000 -21.81756555 0.0000 -0.093478 -0.0082493752 -0.421102057.8 0.0000 13.39552447 0.0000 0.028843 0.0025453749 0.636997067.9 0.0000 -0.655583366 0.0000 0.0424768 0.0037485494 -0.61293357

8 0.0000 -11.60308795 0.0000 -0.094597 -0.0083481615 0.370999358.1 0.0000 19.023074918 0.0000 0.1099559 0.0097035466 -0.009965198.2 0.0000 -19.22237864 0.0000 -0.085125 -0.0075122009 -0.334349768.3 0.0000 12.535383339 0.0000 0.0312426 0.0027571439 0.539736668.4 0.0000 -1.740650102 0.0000 0.0307865 0.0027168915 -0.540541718.5 0.0000 -9.070184108 0.0000 -0.07832 -0.0069116614 0.347970658.6 0.0000 16.02959717 0.0000 0.0951704 0.0083987294 -0.041762848.7 0.0000 -16.86485392 0.0000 -0.077036 -0.0067983511 -0.262178778.8 0.0000 11.621278442 0.0000 0.0323671 0.0028563768 0.455273338.9 0.0000 -2.515811798 0.0000 0.0213684 0.0018857479 -0.47468591

9 0.0000 -6.977906413 0.0000 -0.064442 -0.0056869946 0.323231069.1 0.0000 13.442527646 0.0000 0.0820477 0.0072406641 -0.064677899.2 0.0000 -14.7360854 0.0000 -0.069319 -0.0061173408 -0.202482219.3 0.0000 10.68644119 0.0000 0.0325123 0.0028691908 0.38221284

Page 39: Hojas de Calculo Fransua

9.4 0.0000 -3.042184343 0.0000 0.0138547 0.0012226724 -0.415143219.5 0.0000 -5.260679872 0.0000 -0.052662 -0.0046473468 0.297742839.6 0.0000 11.215536411 0.0000 0.0704531 0.0062174421 -0.080447059.7 0.0000 -12.82447741 0.0000 -0.062047 -0.0054755887 -0.153413579.8 0.0000 9.7562060937 0.0000 0.031921 0.0028170071 0.319265489.9 0.0000 -3.370896461 0.0000 0.0079292 0.0006997464 -0.361610710 0.0000 -3.861317467 0.0000 -0.042705 -0.0037686518 0.27224273

10.1 0.0000 9.3061721035 0.0000 0.0602524 0.005317241 -0.0905248710.2 0.0000 -11.11666959 0.0000 -0.055264 -0.0048770569 -0.1133610810.3 0.0000 8.8494479031 0.0000 0.0307908 0.0027172681 0.2652475810.4 0.0000 -3.544496236 0.0000 0.0033206 0.0002930427 -0.3137320910.5 0.0000 -2.730145585 0.0000 -0.034328 -0.0030294202 0.2472828310.6 0.0000 7.6758022345 0.0000 0.0513155 0.0045285579 -0.0961232710.7 0.0000 -9.598267616 0.0000 -0.048995 -0.004323782 -0.0809235310.8 0.0000 7.9797970244 0.0000 0.0292813 0.0025840609 0.2190803910.9 0.0000 -3.598189267 0.0000 -0.000202 -1.786095E-05 -0.27111883

11 0.0000 -1.824187239 0.0000 -0.027315 -0.0024105547 0.2232649511.1 0.0000 6.2894862429 0.0000 0.0435173 0.0038403765 -0.0982463311.2 0.0000 -8.25441275 0.0000 -0.043245 -0.0038163148 -0.054887511.3 0.0000 7.1566627062 0.0000 0.0275204 0.0024286567 0.1797869311.4 0.0000 -3.560924063 0.0000 -0.002837 -0.0002503223 -0.2333665111.5 0.0000 -1.106406164 0.0000 -0.021475 -0.001895161 0.2004697411.6 0.0000 5.1158009288 0.0000 0.03674 0.0032422823 -0.0977208711.7 0.0000 -7.070218368 0.0000 -0.038007 -0.0033540816 -0.0342064111.8 0.0000 6.3860902298 0.0000 0.0256089 0.0022599745 0.1464875311.9 0.0000 -3.456339662 0.0000 -0.004748 -0.0004190302 -0.20006762

12 0.0000 -0.545012777 0.0000 -0.016639 -0.0014683583 0.1790810612.1 0.0000 4.1266339762 0.0000 0.0308731 0.0027245358 -0.0952231812.2 0.0000 -6.031097518 0.0000 -0.033266 -0.0029356785 -0.0179811112.3 0.0000 5.671475322 0.0000 0.023626 0.0020849802 0.1183942812.4 0.0000 -3.303589659 0.0000 -0.006078 -0.0005363584 -0.1708210512.5 0.0000 -0.112831412 0.0000 -0.012658 -0.0011170945 0.1592063312.6 0.0000 3.2969580248 0.0000 0.0258145 0.0022781127 -0.0913021912.7 0.0000 -5.123001768 0.0000 -0.028999 -0.0025591105 -0.0054422812.8 0.0000 5.0141562525 0.0000 0.0216322 0.0019090265 0.0948050212.9 0.0000 -3.118055931 0.0000 -0.006943 -0.0006126802 -0.14523915

13 0.0000 0.2132729257 0.0000 -0.009405 -0.0008299678 0.140893413.1 0.0000 2.604595038 0.0000 0.02147 0.0018947185 -0.0863996713.2 0.0000 -4.332588504 0.0000 -0.025178 -0.0022219825 0.0040656513.3 0.0000 4.4139015783 0.0000 0.0196731 0.0017361432 0.0750968613.4 0.0000 -2.911964385 0.0000 -0.007441 -0.0006566476 -0.1229526713.5 0.0000 0.4529108848 0.0000 -0.006766 -0.0005970579 0.1241444713.6 0.0000 2.0299784778 0.0000 0.017754 0.0015667841 -0.0808676313.7 0.0000 -3.647331014 0.0000 -0.021775 -0.0019216517 0.0110989113.8 0.0000 3.8693092304 0.0000 0.0177824 0.0015692818 0.0587197613.9 0.0000 -2.69491406 0.0000 -0.007654 -0.0006754371 -0.10361414

14 0.0000 0.6226313539 0.0000 -0.004643 -0.000409768 0.1089275214.1 0.0000 1.5559189579 0.0000 0.0145887 0.0012874467 -0.07498322

Page 40: Hojas de Calculo Fransua

14.2 0.0000 -3.055583378 0.0000 -0.018758 -0.0016553463 0.0161273614.3 0.0000 3.3781306093 0.0000 0.0159834 0.0014105234 0.0451900314.4 0.0000 -2.474329962 0.0000 -0.007648 -0.0006749653 -0.0868998114.5 0.0000 0.7363338302 0.0000 -0.002954 -0.0002606772 0.0951855714.6 0.0000 1.1673775475 0.0000 0.011904 0.0010505199 -0.0689616314.7 0.0000 -2.546610091 0.0000 -0.016094 -0.0014202578 0.0195460714.8 0.0000 2.9375315389 0.0000 0.0142919 0.0012612521 0.0340841314.9 0.0000 -2.255849013 0.0000 -0.00748 -0.0006600784 -0.07251074

15 0.0000 0.8056343056 0.0000 -0.001625 -0.0001434052 0.082844215.1 0.0000 0.8512496875 0.0000 0.009637 0.0008504574 -0.0629669515.2 0.0000 -2.11058865 0.0000 -0.013752 -0.0012136108 0.0216855815.3 0.0000 2.5443003123 0.0000 0.0127174 0.0011223001 0.0250326415.4 0.0000 -2.043647602 0.0000 -0.007192 -0.000634716 -0.0601729615.5 0.0000 0.8401884596 0.0000 -0.000595 -5.248842E-05 0.0718175115.6 0.0000 0.5961617052 0.0000 0.0077316 0.0006823117 -0.0571215115.7 0.0000 -1.738591832 0.0000 -0.011702 -0.0010327141 0.0228209915.8 0.0000 2.1950116332 0.0000 0.0112643 0.0009940686 0.0177146615.9 0.0000 -1.840718349 0.0000 -0.006822 -0.0006020543 -0.04963712

16 0.0000 0.8479759192 0.0000 0.0001896 1.6732312E-05 0.0620128516.1 0.0000 0.3922811485 0.0000 0.0061382 0.00054169 -0.051513716.2 0.0000 -1.42255514 0.0000 -0.009915 -0.0008749978 0.0231799416.3 0.0000 1.8861539959 0.0000 0.0099335 0.0008766271 0.0118525616.4 0.0000 -1.649102876 0.0000 -0.006398 -0.0005646292 -0.0406776816.5 0.0000 0.8355492403 0.0000 0.000773 6.82137E-05 0.0533345416.6 0.0000 0.2311415523 0.0000 0.0048126 0.0004247099 -0.0462046216.7 0.0000 -1.155233856 0.0000 -0.008363 -0.0007380381 0.0229496516.8 0.0000 1.6142269408 0.0000 0.008723 0.0007697954 0.0072070216.9 0.0000 -1.470086606 0.0000 -0.005943 -0.0005244425 -0.03309178

17 0.0000 0.8082511062 0.0000 0.0011932 0.000105301 0.0456866417.1 0.0000 0.1054817873 0.0000 0.0037162 0.0003279547 -0.0412335717.2 0.0000 -0.930153208 0.0000 -0.007021 -0.0006195728 0.0222830217.3 0.0000 1.3758136547 0.0000 0.0076285 0.0006732101 0.0035726417.4 0.0000 -1.304360944 0.0000 -0.005474 -0.0004830528 -0.0266978917.5 0.0000 0.7704030458 0.0000 0.0014823 0.0001308095 0.0389751417.6 0.0000 0.0090997892 0.0000 0.0028151 0.0002484298 -0.0366227317.7 0.0000 -0.741554488 0.0000 -0.005864 -0.0005175093 0.0213039517.8 0.0000 1.1676335418 0.0000 0.0066446 0.0005863784 0.000773817.9 0.0000 -1.152157527 0.0000 -0.005005 -0.0004416535 -0.02133444

18 0.0000 0.7254687593 0.0000 0.0016668 0.000147097 0.0331094518.1 0.0000 -0.063279792 0.0000 0.0020796 0.0001835218 -0.0323809518.2 0.0000 -0.584339265 0.0000 -0.004872 -0.0004299274 0.0201119718.3 0.0000 0.9865786633 0.0000 0.0057646 0.0005087211 -0.00133918.4 0.0000 -1.013358668 0.0000 -0.004546 -0.0004011383 -0.0168581918.5 0.0000 0.6761949089 0.0000 0.0017692 0.0001561279 0.0280035118.6 0.0000 -0.116124669 0.0000 0.001484 0.0001309584 -0.028506918.7 0.0000 -0.454013395 0.0000 -0.004024 -0.000355077 0.018786218.8 0.0000 0.8297373103 0.0000 0.0049814 0.0004396071 -0.0028925118.9 0.0000 -0.887587597 0.0000 -0.004104 -0.0003621576 -0.01314278

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19 0.0000 0.6247320014 0.0000 0.0018077 0.0001595296 0.0235765319.1 0.0000 -0.153201488 0.0000 0.0010059 8.8772031E-05 -0.0249916819.2 0.0000 -0.346632073 0.0000 -0.003302 -0.0002913735 0.0173887719.3 0.0000 0.694407433 0.0000 0.0042876 0.0003783795 -0.0039937119.4 0.0000 -0.774281617 0.0000 -0.003685 -0.0003251656 -0.0100771919.5 0.0000 0.5727377574 0.0000 0.0017977 0.0001586423 0.0197533519.6 0.0000 -0.177670737 0.0000 0.0006262 5.5265829E-05 -0.0218208819.7 0.0000 -0.258746854 0.0000 -0.00269 -0.0002373898 0.0159677719.8 0.0000 0.5781021837 0.0000 0.0036757 0.0003243767 -0.0047324419.9 0.0000 -0.672750904 0.0000 -0.003291 -0.0002904595 -0.00756429

20 0.0000 0.5214651393 0.0000 0.0017514 0.0001545617 0.01646471

Masa M 0.0228Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.0477

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 0 MAX Uivelocidad inicial Ůo 0 MAX U´iaceleracion inicial ϋ o 0.2 MAX U´´i

periodo de la estru T 0.3

CALCULOS INICIALES WnÜo 0.1 TnΔt 14.689467118 estabilidad^K 10.01 10.0 NO ESTABLEa 0.10 0.15b 0.05 0.0708

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 0.1 5.0000 5.0005066 0.4412917107 8.825834210.1 5.0000 176.41668428 3.6603 5.7291704 0.5055958537 -7.539751350.2 8.6603 -327.2117114 1.3397 -0.146683 -0.012944705 -2.831059820.3 10.0000 270.59051499 -1.3397 -0.174635 -0.0154114727 2.781724470.4 8.6603 -214.9560257 -3.6603 -4.584558 -0.4045845281 -10.56518560.5 5.0000 3.6523141722 -5.0000 -6.223599 -0.5492288772 7.672298590.6 0.0000 149.79365766 0.0000 0.538345 0.0475086206 4.262451360.7 0.0000 -64.54463037 0.0000 0.0200492 0.0017693274 -5.177237230.8 0.0000 -39.00011417 0.0000 -0.539901 -0.0476459555 4.188931570.9 0.0000 122.77874553 0.0000 0.8374454 0.0739040577 -1.7579313

1 0.0000 -157.9373716 0.0000 -0.818751 -0.0722543202 -1.165236261.1 0.0000 134.63264649 0.0000 0.5082719 0.0448546895 3.507416451.2 0.0000 -64.48431748 0.0000 -0.033446 -0.0029516173 -4.463542591.3 0.0000 -24.78653425 0.0000 -0.426665 -0.0376529647 3.769515641.4 0.0000 100.17684702 0.0000 0.7083257 0.0625093178 -1.766269991.5 0.0000 -135.5022468 0.0000 -0.720821 -0.0636120415 -0.7561572

CASOS

ESPECIA

LES

D448
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D450
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C451
estos son datos iniciales?
C453
esta es igual a la aceleracion del sismo?
G458
REVIZAR….
B459
caso de aceleracion promedio
C459
caso de aceleracion promedio
B460
este es para el caso de aceleracion promedio
C460
este es para el caso de aceleracion promedio
B461
para el caso de aceleracion promedio
C461
para el caso de aceleracion promedio
A464
el tiempo lo vamos a variar
B464
ESTE ES EL DATO QUE VA A VARIAR
D464
este dato no es igual al de la segunda columna?
C465
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 42: Hojas de Calculo Fransua

1.6 0.0000 120.37910277 0.0000 0.4748049 0.041901244 2.866422911.7 0.0000 -63.05064459 0.0000 -0.072791 -0.0064237323 -3.832922441.8 0.0000 -13.60780412 0.0000 -0.332672 -0.029358127 3.374234541.9 0.0000 81.092494927 0.0000 0.5963717 0.0526294472 -1.73448306

2 0.0000 -115.782156 0.0000 -0.631957 -0.0557698349 -0.433502592.1 0.0000 107.11210432 0.0000 0.4395166 0.0387870772 2.324640832.2 0.0000 -60.61928776 0.0000 -0.10069 -0.0088857947 -3.278098272.3 0.0000 -4.942677543 0.0000 -0.255114 -0.0225136998 3.005540162.4 0.0000 65.053480811 0.0000 0.4996844 0.0440968492 -1.673329182.5 0.0000 -98.5200645 0.0000 -0.551796 -0.0486956903 -0.182521612.6 0.0000 94.869632392 0.0000 0.4036242 0.0356195963 1.868827342.7 0.0000 -57.49308565 0.0000 -0.119416 -0.0105383815 -2.791986892.8 0.0000 1.6533478218 0.0000 -0.191536 -0.0169029095 2.664696332.9 0.0000 51.640578814 0.0000 0.4165127 0.0367569952 -1.59149824

3 0.0000 -83.47054358 0.0000 -0.47988 -0.0423490959 0.009376423.1 0.0000 83.658071896 0.0000 0.3680522 0.0324803902 1.487213313.2 0.0000 -53.91380578 0.0000 -0.130869 -0.0115491412 -2.367803933.3 0.0000 6.5577270908 0.0000 -0.139795 -0.0123368442 2.352049883.4 0.0000 40.483270421 0.0000 0.3452541 0.0304684712 -1.495943573.5 0.0000 -70.4021418 0.0000 -0.415686 -0.0366840451 0.152893243.6 0.0000 73.460006683 0.0000 0.3334862 0.0294299548 1.169386753.7 0.0000 -50.07227161 0.0000 -0.136629 -0.0120574515 -1.999134883.8 0.0000 10.089574 0.0000 -0.098035 -0.0086515261 2.067253393.9 0.0000 31.255493798 0.0000 0.2844521 0.0251027296 -1.39216828

4 0.0000 -59.09885931 0.0000 -0.358659 -0.0316514068 0.257085554.1 0.0000 64.240570236 0.0000 0.3004177 0.0265116859 0.906176314.2 0.0000 -46.11704408 0.0000 -0.138001 -0.0121785159 -1.679980344.3 0.0000 12.517437221 0.0000 -0.064648 -0.0057051823 1.809447014.4 0.0000 23.671503076 0.0000 0.2327906 0.0205436275 -1.284470824.5 0.0000 -49.36091946 0.0000 -0.308226 -0.0272007679 0.329582914.6 0.0000 55.952577644 0.0000 0.269183 0.0237552381 0.689537214.7 0.0000 -42.16183342 0.0000 -0.136057 -0.0120069521 -1.404781024.8 0.0000 14.066213096 0.0000 -0.038252 -0.0033757224 1.577405614.9 0.0000 17.481899129 0.0000 0.189087 0.0166868126 -1.17615491

5 0.0000 -41.00499735 0.0000 -0.263819 -0.0232818404 0.376781855.1 0.0000 48.540634351 0.0000 0.2399941 0.0211793364 0.512441695.2 0.0000 -38.2918006 0.0000 -0.131671 -0.0116199239 -1.168426895.3 0.0000 14.923262738 0.0000 -0.017659 -0.001558426 1.369656855.4 0.0000 12.469874264 0.0000 0.1522844 0.0134390101 -1.069708135.5 0.0000 -33.8640368 0.0000 -0.22488 -0.0198455129 0.404017675.6 0.0000 41.944390104 0.0000 0.2129659 0.0187941171 0.368774945.7 0.0000 -34.5688914 0.0000 -0.125552 -0.0110798607 -0.966254495.8 0.0000 15.243801565 0.0000 -0.001857 -0.0001638365 1.184574985.9 0.0000 8.4476979735 0.0000 0.1214428 0.01071725 -0.96695325

6 0.0000 -27.7867629 0.0000 -0.190875 -0.0168446129 0.415715996.1 0.0000 36.101082656 0.0000 0.188138 0.0166030654 0.253237586.2 0.0000 -31.03633109 0.0000 -0.118265 -0.0104368137 -0.794035166.3 0.0000 15.155627866 0.0000 0.0100187 0.0008841452 1.02045434

Page 43: Hojas de Calculo Fransua

6.4 0.0000 5.2534588986 0.0000 0.0957294 0.0084480664 -0.869175916.5 0.0000 -22.63697717 0.0000 -0.161298 -0.0142344353 0.415525886.6 0.0000 30.947494759 0.0000 0.1654925 0.014604611 0.161255056.7 0.0000 -27.72239383 0.0000 -0.110261 -0.0097304849 -0.647956966.8 0.0000 14.763254537 0.0000 0.0186967 0.0016499753 0.875566176.9 0.0000 2.7480688277 0.0000 0.0744106 0.0065666931 -0.77723181

7 0.0000 -18.29270504 0.0000 -0.135673 -0.011973086 0.406436237.1 0.0000 26.421429619 0.0000 0.144969 0.0127934305 0.08889417.2 0.0000 -24.64354761 0.0000 -0.101893 -0.0089919714 -0.524602147.3 0.0000 14.151504867 0.0000 0.0247934 0.0021880026 0.748201627.4 0.0000 0.8125274582 0.0000 0.056842 0.0050162742 -0.691636187.5 0.0000 -14.64525113 0.0000 -0.113561 -0.0100216779 0.390877147.6 0.0000 22.46279394 0.0000 0.1264768 0.0111615046 0.032786517.7 0.0000 -21.80706375 0.0000 -0.093431 -0.0082452555 -0.420921717.8 0.0000 13.388629499 0.0000 0.0288255 0.002543836 0.636703547.9 0.0000 -0.654558656 0.0000 0.0424604 0.0037471022 -0.61263822

8 0.0000 -11.5982057 0.0000 -0.094555 -0.0083444135 0.37080798.1 0.0000 19.014363758 0.0000 0.1099041 0.0096989677 -0.009940288.2 0.0000 -19.21316933 0.0000 -0.085082 -0.0075084754 -0.334208588.3 0.0000 12.52899768 0.0000 0.0312246 0.0027555563 0.539489228.4 0.0000 -1.739213361 0.0000 0.0307752 0.0027158935 -0.540282478.5 0.0000 -9.066436101 0.0000 -0.078285 -0.0069085799 0.347793018.6 0.0000 16.022296219 0.0000 0.0951257 0.0083947837 -0.041725738.7 0.0000 -16.8568109 0.0000 -0.076998 -0.0067950009 -0.262069968.8 0.0000 11.615411723 0.0000 0.0323491 0.0028547869 0.455065728.9 0.0000 -2.51409741 0.0000 0.0213611 0.0018851077 -0.4744593

9 0.0000 -6.975088583 0.0000 -0.064414 -0.0056844786 0.323067579.1 0.0000 13.436440053 0.0000 0.0820094 0.0072372776 -0.064632459.2 0.0000 -14.72908904 0.0000 -0.069285 -0.0061143438 -0.202399989.3 0.0000 10.681089447 0.0000 0.0324947 0.0028676335 0.382039539.4 0.0000 -3.040298931 0.0000 0.0138507 0.0012223141 -0.414945919.5 0.0000 -5.258619356 0.0000 -0.052638 -0.0046453085 0.297593469.6 0.0000 11.210488622 0.0000 0.0704203 0.0062145473 -0.080396359.7 0.0000 -12.81841557 0.0000 -0.062017 -0.0054729208 -0.153353029.8 0.0000 9.7513552683 0.0000 0.031904 0.0028155077 0.319121599.9 0.0000 -3.368923561 0.0000 0.0079276 0.0006996068 -0.361439610 0.0000 -3.859868497 0.0000 -0.042686 -0.0037670152 0.27210716

10.1 0.0000 9.3020117491 0.0000 0.0602245 0.0053147769 -0.0904713210.2 0.0000 -11.11143818 0.0000 -0.055238 -0.0048746929 -0.1133180710.3 0.0000 8.8450766816 0.0000 0.0307746 0.0027158443 0.2651288210.4 0.0000 -3.542500295 0.0000 0.0033209 0.00029307 -0.3135843110.5 0.0000 -2.729185821 0.0000 -0.034313 -0.0030281197 0.2471605110.6 0.0000 7.6723960914 0.0000 0.0512918 0.0045264693 -0.0960687310.7 0.0000 -9.593770781 0.0000 -0.048971 -0.0043216966 -0.0808945810.8 0.0000 7.9758791169 0.0000 0.0292662 0.0025827244 0.21898310.9 0.0000 -3.596219047 0.0000 -0.000201 -1.770932E-05 -0.27099168

11 0.0000 -1.823614524 0.0000 -0.027304 -0.0024095338 0.2231551911.1 0.0000 6.286718296 0.0000 0.0434973 0.0038386141 -0.09819223

Page 44: Hojas de Calculo Fransua

11.2 0.0000 -8.25056289 0.0000 -0.043224 -0.0038144829 -0.0548697111.3 0.0000 7.1531686624 0.0000 0.0275063 0.0024274143 0.1797076611.4 0.0000 -3.55901553 0.0000 -0.002834 -0.0002500808 -0.2332575611.5 0.0000 -1.106135655 0.0000 -0.021466 -0.0018943715 0.2003717411.6 0.0000 5.1135705484 0.0000 0.0367232 0.0032408022 -0.0976682711.7 0.0000 -7.066935946 0.0000 -0.037989 -0.003352479 -0.0341973511.8 0.0000 6.3829888667 0.0000 0.025596 0.0022588294 0.1464235211.9 0.0000 -3.454518423 0.0000 -0.004745 -0.0004187266 -0.19997464

12 0.0000 -0.544974424 0.0000 -0.016632 -0.0014677592 0.1789939912.1 0.0000 4.1248542225 0.0000 0.0308591 0.002723299 -0.0951728312.2 0.0000 -6.028310747 0.0000 -0.03325 -0.0029342821 -0.017978812.3 0.0000 5.66873483 0.0000 0.0236141 0.0020839326 0.1183430912.4 0.0000 -3.301873014 0.0000 -0.006074 -0.0005360147 -0.1707420412.5 0.0000 -0.112967754 0.0000 -0.012653 -0.0011166508 0.1591293212.6 0.0000 3.2955540826 0.0000 0.0258028 0.0022770847 -0.0912546112.7 0.0000 -5.120646213 0.0000 -0.028985 -0.0025578986 -0.0054450612.8 0.0000 5.0117450382 0.0000 0.0216214 0.0019080746 0.0947645212.9 0.0000 -3.116454583 0.0000 -0.006938 -0.000612314 -0.14517229

13 0.0000 0.2130086846 0.0000 -0.009401 -0.0008296501 0.1408255713.1 0.0000 2.6035027836 0.0000 0.0214604 0.001893869 -0.0863551913.2 0.0000 -4.330606621 0.0000 -0.025167 -0.0022209349 0.0040591113.3 0.0000 4.4117888902 0.0000 0.0196634 0.0017352833 0.0750652513.4 0.0000 -2.910483867 0.0000 -0.007437 -0.0006562724 -0.1228963713.5 0.0000 0.4525565455 0.0000 -0.006763 -0.0005968414 0.1240849913.6 0.0000 2.0291431755 0.0000 0.0177461 0.0015660866 -0.0808264213.7 0.0000 -3.645671661 0.0000 -0.021765 -0.0019207497 0.011089713.8 0.0000 3.8674656095 0.0000 0.0177736 0.0015685094 0.0586954813.9 0.0000 -2.693555915 0.0000 -0.007649 -0.0006750632 -0.10356694

14 0.0000 0.6222171668 0.0000 -0.004642 -0.000409632 0.1088755614.1 0.0000 1.5552940815 0.0000 0.0145823 0.0012868781 -0.0749453614.2 0.0000 -3.054201309 0.0000 -0.018749 -0.0016545728 0.0161163414.3 0.0000 3.3765281993 0.0000 0.0159756 0.0014098332 0.0451717714.4 0.0000 -2.473092711 0.0000 -0.007644 -0.0006746005 -0.0868604514.5 0.0000 0.7358837396 0.0000 -0.002953 -0.0002606043 0.0951403714.6 0.0000 1.1669237212 0.0000 0.0118988 0.00105006 -0.0689270914.7 0.0000 -2.545465448 0.0000 -0.016086 -0.0014195972 0.0195339414.8 0.0000 2.9361442834 0.0000 0.0142849 0.0012606382 0.0340707714.9 0.0000 -2.254728944 0.0000 -0.007476 -0.0006597282 -0.0724781

15 0.0000 0.8051670173 0.0000 -0.001625 -0.0001433812 0.0828050415.1 0.0000 0.8509337381 0.0000 0.0096328 0.0008500889 -0.0629356415.2 0.0000 -2.109646469 0.0000 -0.013746 -0.0012130489 0.0216728815.3 0.0000 2.543104064 0.0000 0.0127112 0.0011217567 0.0250232315.4 0.0000 -2.042639412 0.0000 -0.007189 -0.0006343843 -0.0601460515.5 0.0000 0.8397183531 0.0000 -0.000595 -5.250155E-05 0.0717837115.6 0.0000 0.5959558194 0.0000 0.0077283 0.0006820195 -0.0570932915.7 0.0000 -1.737821569 0.0000 -0.011697 -0.0010322383 0.0228081315.8 0.0000 2.1939841946 0.0000 0.0112589 0.0009935896 0.0177084315.9 0.0000 -1.839815658 0.0000 -0.006819 -0.0006017436 -0.04961509

Page 45: Hojas de Calculo Fransua

16 0.0000 0.8475138247 0.0000 0.0001891 1.6691655E-05 0.061983816.1 0.0000 0.3921621263 0.0000 0.0061356 0.0005414613 -0.051488416.2 0.0000 -1.421930219 0.0000 -0.009911 -0.0008745967 0.0231672416.3 0.0000 1.8852751076 0.0000 0.0099288 0.0008762067 0.0118488216.4 0.0000 -1.648298634 0.0000 -0.006395 -0.000564341 -0.0406597816.5 0.0000 0.8351030962 0.0000 0.0007723 6.8153305E-05 0.0533096616.6 0.0000 0.2310901479 0.0000 0.0048106 0.0004245337 -0.0461820516.7 0.0000 -1.154731241 0.0000 -0.008359 -0.0007377016 0.0229373516.8 0.0000 1.6134782313 0.0000 0.0087188 0.0007694279 0.0072052416.9 0.0000 -1.469373412 0.0000 -0.00594 -0.0005241773 -0.03307734

17 0.0000 0.8078265144 0.0000 0.0011924 0.0001052271 0.0456654317.1 0.0000 0.1054821308 0.0000 0.0037147 0.0003278215 -0.0412135417.2 0.0000 -0.929753016 0.0000 -0.007018 -0.0006192918 0.0222712817.3 0.0000 1.3751785619 0.0000 0.0076249 0.0006728902 0.0035723617.4 0.0000 -1.303731296 0.0000 -0.005471 -0.0004828105 -0.0266863817.5 0.0000 0.7700037378 0.0000 0.0014813 0.0001307271 0.0389571317.6 0.0000 0.0091388812 0.0000 0.002814 0.0002483318 -0.0366050417.7 0.0000 -0.74123962 0.0000 -0.005862 -0.000517276 0.0212928817.8 0.0000 1.1670972153 0.0000 0.0066414 0.000586101 0.0007746617.9 0.0000 -1.151604007 0.0000 -0.005002 -0.0004414336 -0.02132535

18 0.0000 0.7250969851 0.0000 0.0016658 0.00014701 0.0330942218.1 0.0000 -0.063212522 0.0000 0.0020788 0.0001834522 -0.0323653818.2 0.0000 -0.584095079 0.0000 -0.00487 -0.0004297349 0.0201016418.3 0.0000 0.9861278546 0.0000 0.0057619 0.0005084815 -0.0013373118.4 0.0000 -1.012874082 0.0000 -0.004543 -0.0004009399 -0.0168511218.5 0.0000 0.675851761 0.0000 0.0017682 0.0001560394 0.027990718.6 0.0000 -0.116037744 0.0000 0.0014834 0.0001309115 -0.0284932618.7 0.0000 -0.453827403 0.0000 -0.004022 -0.0003549192 0.0187766418.8 0.0000 0.8293602557 0.0000 0.0049791 0.0004394009 -0.0028902418.9 0.0000 -0.887165072 0.0000 -0.004102 -0.0003619796 -0.01313737

19 0.0000 0.6244176814 0.0000 0.0018067 0.0001594418 0.023565819.1 0.0000 -0.153101714 0.0000 0.0010056 8.8743292E-05 -0.0249797719.2 0.0000 -0.346493669 0.0000 -0.0033 -0.000291245 0.0173819.3 0.0000 0.6940937341 0.0000 0.0042856 0.0003782028 -0.0039910519.4 0.0000 -0.77391467 0.0000 -0.003683 -0.0003250067 -0.0100731419.5 0.0000 0.5724517956 0.0000 0.0017967 0.0001585569 0.0197444219.6 0.0000 -0.177563489 0.0000 0.0006261 5.5251245E-05 -0.0218105319.7 0.0000 -0.258647071 0.0000 -0.002689 -0.0002372861 0.0159597819.8 0.0000 0.5778426886 0.0000 0.003674 0.0003242259 -0.0047295419.9 0.0000 -0.672433482 0.0000 -0.00329 -0.0002903183 -0.00756135

20 0.0000 0.5212065734 0.0000 0.0017505 0.00015448 0.01645731

Masa M 0.0405Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.0637

Acel sismo As 0Carga Po 0

CASOS

ESPECIA

LES

D670
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D672
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
Page 46: Hojas de Calculo Fransua

desplazamiento iniciak Uo 0 MAX Uivelocidad inicial Ůo 0.2 MAX U´iaceleracion inicial ϋ o 0.3 MAX U´´i

periodo de la estru T 0.4

CALCULOS INICIALES WnÜo 14.689467118 TnΔt 10.006923379 estabilidad^K 10.01 10.0 NO ESTABLEa 0.14 0.22b 0.08 0.1248

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 14.689467118 5.0000 5.1010481 0.4501644412 8.603288820.1 5.0000 157.37630936 3.6603 5.6297088 0.4968184241 -7.670209170.2 8.6603 -310.7804927 1.3397 -0.083814 -0.0073965696 -2.414090710.3 10.0000 262.49867854 -1.3397 -0.180482 -0.0159273864 2.243474370.4 8.6603 -217.6291911 -3.6603 -4.634622 -0.4090026416 -10.10497950.5 5.0000 15.529601678 -5.0000 -6.138672 -0.5417341249 7.450349810.6 0.0000 133.47739447 0.0000 0.4508888 0.0397906624 4.180145940.7 0.0000 -49.87447569 0.0000 0.0786128 0.0069375362 -4.837208460.8 0.0000 -46.86969357 0.0000 -0.55025 -0.0485591946 3.727273850.9 0.0000 121.41517051 0.0000 0.7985861 0.0704747466 -1.34659502

1 0.0000 -148.347071 0.0000 -0.747347 -0.0659529611 -1.381959131.1 0.0000 120.70788838 0.0000 0.4316901 0.0380963904 3.462946161.2 0.0000 -51.44896517 0.0000 0.0206321 0.0018207679 -4.188458611.3 0.0000 -32.32020707 0.0000 -0.440163 -0.0388441095 3.375161061.4 0.0000 99.823428337 0.0000 0.6786946 0.0598943946 -1.400390981.5 0.0000 -127.8312479 0.0000 -0.661083 -0.0583401371 -0.964299651.6 0.0000 108.54525486 0.0000 0.4080162 0.0360071876 2.851246151.7 0.0000 -51.52033192 0.0000 -0.023236 -0.0020505533 -3.612400961.8 0.0000 -20.72768737 0.0000 -0.348238 -0.0307317564 3.03877691.9 0.0000 81.503225423 0.0000 0.57429 0.0506807514 -1.41052675

2 0.0000 -109.7137604 0.0000 -0.582241 -0.0513824397 -0.630737072.1 0.0000 97.099018889 0.0000 0.3815005 0.0336671936 2.331729742.2 0.0000 -50.46442406 0.0000 -0.05559 -0.0049057594 -3.10318882.3 0.0000 -11.59935197 0.0000 -0.271893 -0.0239944202 2.721415592.4 0.0000 66.027663683 0.0000 0.4837322 0.042689073 -1.387745722.5 0.0000 -93.78257809 0.0000 -0.510657 -0.0450652043 -0.367339832.6 0.0000 86.435781567 0.0000 0.3534274 0.0311897596 1.89243912.7 0.0000 -48.58699948 0.0000 -0.078624 -0.0069384841 -2.655003982.8 0.0000 -4.513080101 0.0000 -0.208862 -0.0184319504 2.425134652.9 0.0000 53.015773156 0.0000 0.4054945 0.0357846444 -1.34080276

3 0.0000 -79.83182827 0.0000 -0.44605 -0.0393636571 -0.162163273.1 0.0000 76.588562795 0.0000 0.3247924 0.0286627374 1.522691163.2 0.0000 -46.13473955 0.0000 -0.094181 -0.0083114561 -2.262175033.3 0.0000 0.8912389006 0.0000 -0.157159 -0.0138691501 2.15102115

C673
estos son datos iniciales?
C675
esta es igual a la aceleracion del sismo?
G680
REVIZAR….
B681
caso de aceleracion promedio
C681
caso de aceleracion promedio
B682
este es para el caso de aceleracion promedio
C682
este es para el caso de aceleracion promedio
B683
para el caso de aceleracion promedio
C683
para el caso de aceleracion promedio
A686
el tiempo lo vamos a variar
B686
ESTE ES EL DATO QUE VA A VARIAR
D686
este dato no es igual al de la segunda columna?
C687
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 47: Hojas de Calculo Fransua

3.4 0.0000 42.129184166 0.0000 0.3381684 0.0298431617 -1.276774923.5 0.0000 -67.66468252 0.0000 -0.388059 -0.0342459869 -0.005008063.6 0.0000 67.564521415 0.0000 0.2963532 0.0261529898 1.212987593.7 0.0000 -43.30476961 0.0000 -0.103805 -0.0091607542 -1.919262473.8 0.0000 4.9195202112 0.0000 -0.115052 -0.0101532829 1.89941193.9 0.0000 33.068717703 0.0000 0.2804642 0.0247507953 -1.20133033

4 0.0000 -57.09532434 0.0000 -0.336272 -0.0296757973 0.112798484.1 0.0000 59.35129393 0.0000 0.2686729 0.0237102206 0.954921884.2 0.0000 -40.25285634 0.0000 -0.108778 -0.0095995684 -1.621117664.3 0.0000 7.8305031498 0.0000 -0.08104 -0.0071517235 1.670074564.4 0.0000 25.570987973 0.0000 0.2312085 0.0204040107 -1.118959874.5 0.0000 -47.9501854 0.0000 -0.290246 -0.025614041 0.198598844.6 0.0000 51.922162134 0.0000 0.242157 0.0213702125 0.741086234.7 0.0000 -37.10043744 0.0000 -0.110159 -0.0097215088 -1.362920664.8 0.0000 9.8420242058 0.0000 -0.053822 -0.0047497633 1.462355574.9 0.0000 19.405087231 0.0000 0.1893408 0.0167092137 -1.03317603

5 0.0000 -40.06860786 0.0000 -0.249526 -0.0220205265 0.258581235.1 0.0000 45.240232421 0.0000 0.2170842 0.0191575516 0.564980335.2 0.0000 -33.94062577 0.0000 -0.108822 -0.0096035066 -1.14020155.3 0.0000 11.136595854 0.0000 -0.032279 -0.0028485827 1.275299975.4 0.0000 14.369403605 0.0000 0.1539078 0.0135822693 -0.946682935.5 0.0000 -33.30306224 0.0000 -0.213657 -0.0188550706 0.297936135.6 0.0000 39.261784897 0.0000 0.193632 0.0170879089 0.420923465.7 0.0000 -30.84331574 0.0000 -0.105478 -0.0093083442 -0.948848525.8 0.0000 11.866345321 0.0000 -0.015449 -0.0013633893 1.107747625.9 0.0000 10.288607052 0.0000 0.1240568 0.0109479392 -0.86152105

6 0.0000 -27.51902803 0.0000 -0.182192 -0.0160783617 0.320995036.1 0.0000 33.938928634 0.0000 0.1718985 0.0151699419 0.303971046.2 0.0000 -27.85950779 0.0000 -0.100702 -0.0088868564 -0.785107016.3 0.0000 12.157367661 0.0000 -0.002512 -0.0002217222 0.958409696.4 0.0000 7.0108261353 0.0000 0.0990292 0.0087392674 -0.77918996.5 0.0000 -22.5946241 0.0000 -0.154705 -0.0136525875 0.33135286.6 0.0000 29.221680088 0.0000 0.1519202 0.013406868 0.209836316.7 0.0000 -25.02495385 0.0000 -0.094956 -0.0083798349 -0.645570376.8 0.0000 12.113546449 0.0000 0.0072305 0.000638084 0.825928756.9 0.0000 4.4050284906 0.0000 0.0781529 0.0068969431 -0.70075156

7 0.0000 -18.42005976 0.0000 -0.130787 -0.0115418726 0.331975257.1 0.0000 25.059564749 0.0000 0.1336866 0.011797762 0.134817447.2 0.0000 -22.36321589 0.0000 -0.088609 -0.0078196718 -0.527166127.3 0.0000 11.819893489 0.0000 0.0143716 0.0012682816 0.708925197.4 0.0000 2.3586102641 0.0000 0.0608351 0.0053686583 -0.626917657.5 0.0000 -14.89696333 0.0000 -0.110058 -0.0097125646 0.32529327.6 0.0000 21.402827247 0.0000 0.1171522 0.0103386155 0.075730417.7 0.0000 -19.88821912 0.0000 -0.081947 -0.007231771 -0.427138147.8 0.0000 11.345456391 0.0000 0.0194103 0.001712948 0.606032527.9 0.0000 0.7751939492 0.0000 0.0465553 0.0041084755 -0.55812197

8 0.0000 -11.93763332 0.0000 -0.092164 -0.0081334009 0.313284448.1 0.0000 18.203322151 0.0000 0.1022466 0.0090231976 0.02984753

Page 48: Hojas de Calculo Fransua

8.2 0.0000 -17.6063716 0.0000 -0.075193 -0.0066357553 -0.343026598.3 0.0000 10.745839892 0.0000 0.022766 0.0020090895 0.515923488.4 0.0000 -0.427370277 0.0000 0.0348582 0.0030762178 -0.494580918.5 0.0000 -9.464247994 0.0000 -0.076778 -0.0067755817 0.297544928.6 0.0000 15.415146455 0.0000 0.0888816 0.0078437467 -0.005158358.7 0.0000 -15.51831355 0.0000 -0.068516 -0.0060464958 -0.27264658.8 0.0000 10.06538362 0.0000 0.0247891 0.002187619 0.437328798.9 0.0000 -1.318807774 0.0000 0.0253473 0.0022368879 -0.43634341

9 0.0000 -7.408060522 0.0000 -0.063601 -0.0056127718 0.279350229.1 0.0000 12.995064976 0.0000 0.0769583 0.0067915225 -0.031264349.2 0.0000 -13.62035171 0.0000 -0.06204 -0.0054749845 -0.21406589.3 0.0000 9.339035651 0.0000 0.0257704 0.0022742209 0.369049919.4 0.0000 -1.958037459 0.0000 0.0176785 0.0015601205 -0.383331929.5 0.0000 -5.708600879 0.0000 -0.052364 -0.0046210487 0.259708539.6 0.0000 10.902771516 0.0000 0.0663714 0.0058572395 -0.050142779.7 0.0000 -11.90562686 0.0000 -0.055854 -0.0049290712 -0.165583459.8 0.0000 8.593957904 0.0000 0.0259504 0.0022901104 0.309967089.9 0.0000 -2.394616286 0.0000 0.0115545 0.0010196741 -0.3353758110 0.0000 -4.31289987 0.0000 -0.04282 -0.0037788125 0.23940608

10.1 0.0000 9.1010213732 0.0000 0.0570135 0.0050314038 -0.0632017510.2 0.0000 -10.36505634 0.0000 -0.050018 -0.0044140842 -0.1257080110.3 0.0000 7.8508961294 0.0000 0.0255265 0.002252699 0.2590436710.4 0.0000 -2.67002264 0.0000 0.0067191 0.00059296 -0.2922384610.5 0.0000 -3.174746471 0.0000 -0.03475 -0.0030666673 0.2190459110.6 0.0000 7.5556646723 0.0000 0.0487773 0.0043045701 -0.0716211610.7 0.0000 -8.988087916 0.0000 -0.044571 -0.0039333476 -0.0931371910.8 0.0000 7.1253440915 0.0000 0.0246594 0.0021761744 0.2153276310.9 0.0000 -2.818791482 0.0000 0.0029531 0.0002606119 -0.25363888

11 0.0000 -2.253986111 0.0000 -0.027958 -0.0024672856 0.1990809311.1 0.0000 6.2356046827 0.0000 0.0415587 0.0036675327 -0.0763845611.2 0.0000 -7.763295911 0.0000 -0.039531 -0.0034886137 -0.0667383711.3 0.0000 6.4285285519 0.0000 0.023479 0.0020720043 0.1779507311.4 0.0000 -2.869513982 0.0000 6.905E-05 6.0939844E-06 -0.2192689311.5 0.0000 -1.515864718 0.0000 -0.022269 -0.0019652624 0.1798418111.6 0.0000 5.1127008622 0.0000 0.0352576 0.0031114638 -0.0783072811.7 0.0000 -6.678846541 0.0000 -0.034906 -0.0030804197 -0.0455303911.8 0.0000 5.7682388349 0.0000 0.0220894 0.0019493727 0.1461262311.9 0.0000 -2.845714183 0.0000 -0.002092 -0.0001846541 -0.18880677

12 0.0000 -0.93042117 0.0000 -0.017529 -0.0015469639 0.1615605712.1 0.0000 4.1616325883 0.0000 0.0297793 0.0026280081 -0.0780611312.2 0.0000 -5.72285518 0.0000 -0.03069 -0.002708381 -0.0286666512.3 0.0000 5.1495221321 0.0000 0.020573 0.0018155551 0.1191453712.4 0.0000 -2.766614655 0.0000 -0.003666 -0.0003235355 -0.1619271912.5 0.0000 -0.47192908 0.0000 -0.013602 -0.0012003766 0.1443903712.6 0.0000 3.3597363832 0.0000 0.0250352 0.002209345 -0.0761959312.7 0.0000 -4.883655033 0.0000 -0.026872 -0.002371431 -0.0154195912.8 0.0000 4.5752632837 0.0000 0.0189944 0.0016762415 0.0963730412.9 0.0000 -2.64780255 0.0000 -0.004766 -0.0004205819 -0.1383095

Page 49: Hojas de Calculo Fransua

13 0.0000 -0.11838754 0.0000 -0.010368 -0.000914959 0.1284219613.1 0.0000 2.6868267906 0.0000 0.0209432 0.001848222 -0.0731583413.2 0.0000 -4.149993657 0.0000 -0.023434 -0.0020680154 -0.005166413.3 0.0000 4.0466655567 0.0000 0.0174031 0.0015358114 0.0772429413.4 0.0000 -2.501806703 0.0000 -0.005487 -0.000484207 -0.1176433113.5 0.0000 0.1489404885 0.0000 -0.007722 -0.0006814991 0.1136974713.6 0.0000 2.1250088682 0.0000 0.0174275 0.0015379684 -0.0693081213.7 0.0000 -3.511171225 0.0000 -0.020354 -0.0017962483 0.0026237813.8 0.0000 3.5636469233 0.0000 0.0158366 0.001397569 0.0612525613.9 0.0000 -2.338595702 0.0000 -0.005909 -0.0005214317 -0.09963258

14 0.0000 0.3459441735 0.0000 -0.005575 -0.000491979 0.1002216314.1 0.0000 1.6584884349 0.0000 0.0144193 0.0012724931 -0.0649321914.2 0.0000 -2.957132176 0.0000 -0.01761 -0.0015540353 0.0084016214.3 0.0000 3.1251645227 0.0000 0.0143224 0.0012639418 0.0479579214.4 0.0000 -2.166006033 0.0000 -0.006097 -0.0005380829 -0.0839984214.5 0.0000 0.4860376865 0.0000 -0.003846 -0.0003394477 0.0879711214.6 0.0000 1.2733847262 0.0000 0.0118558 0.0010462702 -0.0602567614.7 0.0000 -2.478519978 0.0000 -0.015175 -0.001339172 0.0125479214.8 0.0000 2.7294783498 0.0000 0.01288 0.0011366482 0.0369684914.9 0.0000 -1.990108642 0.0000 -0.006107 -0.0005389673 -0.07048079

15 0.0000 0.5804927537 0.0000 -0.002469 -0.0002179029 0.0769020815.1 0.0000 0.957548884 0.0000 0.0096807 0.0008543157 -0.0554577115.2 0.0000 -2.066703097 0.0000 -0.013025 -0.0011494182 0.0153830315.3 0.0000 2.3743637519 0.0000 0.0115223 0.0010168391 0.0279421115.4 0.0000 -1.815521485 0.0000 -0.005983 -0.0005280244 -0.0588393815.5 0.0000 0.6387338465 0.0000 -0.001385 -0.000122182 0.0669562315.6 0.0000 0.7003907258 0.0000 0.0078432 0.0006921592 -0.0506694115.7 0.0000 -1.713778829 0.0000 -0.011134 -0.0009825557 0.0171751115.8 0.0000 2.0572810099 0.0000 0.0102575 0.0009052151 0.0205803115.9 0.0000 -1.645674886 0.0000 -0.005762 -0.0005084592 -0.04885379

16 0.0000 0.6685990346 0.0000 -0.000542 -4.786264E-05 0.0580657216.1 0.0000 0.4927154447 0.0000 0.0062982 0.000555811 -0.0459922516.2 0.0000 -1.412560481 0.0000 -0.009478 -0.00083643 0.0181474316.3 0.0000 1.7755091275 0.0000 0.0090893 0.0008021248 0.0146236616.4 0.0000 -1.483035853 0.0000 -0.005472 -0.0004828579 -0.0403233216.5 0.0000 0.6765695071 0.0000 0.0001 8.8281849E-06 0.0501570416.6 0.0000 0.3265712627 0.0000 0.0050054 0.0004417274 -0.0414990516.7 0.0000 -1.156552348 0.0000 -0.008034 -0.0007089814 0.0184848816.8 0.0000 1.5262499334 0.0000 0.0080187 0.0007076454 0.0098476616.9 0.0000 -1.329296812 0.0000 -0.005136 -0.0004532871 -0.03306631

17 0.0000 0.6679706854 0.0000 0.000579 5.1095709E-05 0.0431539617.1 0.0000 0.1951085678 0.0000 0.0039295 0.000346775 -0.0372403817.2 0.0000 -0.939916101 0.0000 -0.006779 -0.0005982648 0.0183395817.3 0.0000 1.3067077089 0.0000 0.0070442 0.0006216494 0.006058717.4 0.0000 -1.18553364 0.0000 -0.004775 -0.0004213802 -0.026919317.5 0.0000 0.6471477287 0.0000 0.0009252 8.1651031E-05 0.0369799217.6 0.0000 0.0924506848 0.0000 0.0030391 0.0002681951 -0.0332490417.7 0.0000 -0.757431451 0.0000 -0.005694 -0.0005024635 0.01783587

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17.8 0.0000 1.1141487706 0.0000 0.0061627 0.0005438585 0.0030905717.9 0.0000 -1.05233729 0.0000 -0.004401 -0.0003884108 -0.02173596

18 0.0000 0.6176180848 0.0000 0.0011646 0.0001027768 0.0315597118.1 0.0000 0.0135761419 0.0000 0.0023067 0.0002035692 -0.0295438618.2 0.0000 -0.604453387 0.0000 -0.004758 -0.0004198955 0.0170745718.3 0.0000 0.9459447583 0.0000 0.0053699 0.0004738878 0.000801118.4 0.0000 -0.929922818 0.0000 -0.004027 -0.0003553555 -0.0173859618.5 0.0000 0.5822035613 0.0000 0.0013188 0.0001163855 0.0268207818.6 0.0000 -0.045787918 0.0000 0.0017086 0.0001507854 -0.0261327818.7 0.0000 -0.476867758 0.0000 -0.003955 -0.0003490162 0.0161367518.8 0.0000 0.7996027864 0.0000 0.0046604 0.0004112805 -0.0009308218.9 0.0000 -0.818219126 0.0000 -0.003659 -0.0003229476 -0.01375375

19 0.0000 0.5431442184 0.0000 0.0014059 0.0001240715 0.0226941319.1 0.0000 -0.089261687 0.0000 0.0012239 0.0001080071 -0.0230154119.2 0.0000 -0.371046583 0.0000 -0.003268 -0.0002884172 0.0150869319.3 0.0000 0.672785109 0.0000 0.0040288 0.000355536 -0.0022078619.4 0.0000 -0.716942338 0.0000 -0.003306 -0.0002917224 -0.0107373119.5 0.0000 0.5021961924 0.0000 0.0014409 0.0001271562 0.0191148819.6 0.0000 -0.119898599 0.0000 0.0008345 7.3643391E-05 -0.0201851419.7 0.0000 -0.283804107 0.0000 -0.002684 -0.0002368224 0.0139758219.8 0.0000 0.5633205061 0.0000 0.0034689 0.0003061315 -0.0031167419.9 0.0000 -0.625655334 0.0000 -0.002969 -0.0002620554 -0.008247

20 0.0000 0.4607153791 0.0000 0.001436 0.0001267284 0.01602267

Masa M 0.0633Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.0796

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 0.2 MAX Uivelocidad inicial Ůo 0.3 MAX U´iaceleracion inicial ϋ o 0.4 MAX U´´i

periodo de la estru T 0.5

CALCULOS INICIALES WnÜo 10.006923379 TnΔt 10.014342483 estabilidad^K 10.02 10.0 NO ESTABLEa 0.18 0.28b 0.13 0.1940

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.006923379 5.0000 5.0906413 0.449246045 8.38492090.1 5.0000 157.69149462 3.6603 5.6155446 0.495568442 -7.458472960.2 8.6603 -306.8609538 1.3397 -0.051526 -0.0045471018 -2.543837920.3 10.0000 255.98419546 -1.3397 -0.218328 -0.0192673341 2.24943327

CASOS

ESPECIA

LES

D892
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D894
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C895
estos son datos iniciales?
C897
esta es igual a la aceleracion del sismo?
G902
REVIZAR….
B903
caso de aceleracion promedio
C903
caso de aceleracion promedio
B904
este es para el caso de aceleracion promedio
C904
este es para el caso de aceleracion promedio
B905
para el caso de aceleracion promedio
C905
para el caso de aceleracion promedio
A908
el tiempo lo vamos a variar
B908
ESTE ES EL DATO QUE VA A VARIAR
D908
este dato no es igual al de la segunda columna?
C909
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 51: Hojas de Calculo Fransua

0.4 8.6603 -210.99553 -3.6603 -4.605066 -0.4063943399 -9.991973390.5 5.0000 11.156062304 -5.0000 -6.149832 -0.5427189967 7.265480250.6 0.0000 134.15354273 0.0000 0.4406949 0.0388910601 4.366720890.7 0.0000 -46.81912502 0.0000 0.105315 0.0092939873 -4.958662340.8 0.0000 -52.35412181 0.0000 -0.582982 -0.0514478354 3.743825890.9 0.0000 127.23063956 0.0000 0.8253033 0.0728325228 -1.25821872

1 0.0000 -152.395014 0.0000 -0.758831 -0.066966412 -1.537759971.1 0.0000 121.63981458 0.0000 0.4246892 0.0374785697 3.626659611.2 0.0000 -49.10662246 0.0000 0.0425753 0.0037572426 -4.301086151.3 0.0000 -36.9151005 0.0000 -0.468361 -0.0413325524 3.399290251.4 0.0000 104.90090545 0.0000 0.7027104 0.0620137755 -1.332363691.5 0.0000 -131.5481792 0.0000 -0.672562 -0.0593531697 -1.094975221.6 0.0000 109.64867493 0.0000 0.4035575 0.0356137055 2.994312721.7 0.0000 -49.76242055 0.0000 -0.005329 -0.0004703096 -3.715993021.8 0.0000 -24.55743988 0.0000 -0.372432 -0.0328668957 3.06806131.9 0.0000 85.918665859 0.0000 0.5957656 0.0525759548 -1.35920429

2 0.0000 -113.1027516 0.0000 -0.59347 -0.0523733461 -0.739781732.1 0.0000 98.307117055 0.0000 0.3790417 0.0334501987 2.456252632.2 0.0000 -49.18206455 0.0000 -0.041092 -0.0036263353 -3.19778332.3 0.0000 -14.77360155 0.0000 -0.292568 -0.0258189842 2.753930332.4 0.0000 69.852208066 0.0000 0.5028428 0.0443755743 -1.350039162.5 0.0000 -96.85299117 0.0000 -0.521456 -0.046018203 -0.457836392.6 0.0000 87.696263335 0.0000 0.3525193 0.0311096141 2.000392732.7 0.0000 -47.68840865 0.0000 -0.066991 -0.0059119028 -2.740823072.8 0.0000 -7.128052785 0.0000 -0.226456 -0.0199846272 2.459368582.9 0.0000 56.31542445 0.0000 0.4224224 0.0372785274 -1.31410549

3 0.0000 -82.5975343 0.0000 -0.456295 -0.0402677451 -0.236819963.1 0.0000 77.861135153 0.0000 0.3250652 0.0286868087 1.615911033.2 0.0000 -45.5429145 0.0000 -0.084945 -0.0074963417 -2.339574043.3 0.0000 -1.248566311 0.0000 -0.172067 -0.0151847686 2.18580553.4 0.0000 44.964676366 0.0000 0.3530972 0.0311606196 -1.258897743.5 0.0000 -70.14263114 0.0000 -0.397668 -0.035093977 -0.066194193.6 0.0000 68.818747267 0.0000 0.2975045 0.0262545941 1.293165623.7 0.0000 -42.95543495 0.0000 -0.096562 -0.0085215658 -1.988688813.8 0.0000 3.1816586677 0.0000 -0.127627 -0.0112630324 1.933859483.9 0.0000 35.495530954 0.0000 0.2935743 0.0259077546 -1.19044374

4 0.0000 -59.30440578 0.0000 -0.345198 -0.0304635145 0.063018364.1 0.0000 60.56477298 0.0000 0.2704574 0.0238677042 1.023606014.2 0.0000 -40.09265269 0.0000 -0.103184 -0.0091058999 -1.68307814.3 0.0000 6.4310907509 0.0000 -0.091597 -0.0080833953 1.703528194.4 0.0000 27.639473019 0.0000 0.2426742 0.0214158553 -1.113543184.5 0.0000 -49.91033656 0.0000 -0.298468 -0.0263396564 0.158432944.6 0.0000 53.078995442 0.0000 0.2443774 0.0215661549 0.799683284.7 0.0000 -37.08532979 0.0000 -0.105921 -0.0093474549 -1.417955484.8 0.0000 8.7262201945 0.0000 -0.062641 -0.0055280058 1.494344464.9 0.0000 21.160669064 0.0000 0.1993281 0.0175905896 -1.03197256

5 0.0000 -41.80012019 0.0000 -0.257044 -0.0226840076 0.226480615.1 0.0000 46.329732467 0.0000 0.2195831 0.0193780779 0.6147611

Page 52: Hojas de Calculo Fransua

5.2 0.0000 -34.03451057 0.0000 -0.10569 -0.0093270902 -1.188864465.3 0.0000 10.257221416 0.0000 -0.039605 -0.0034951594 1.305503075.4 0.0000 15.85284005 0.0000 0.1625728 0.0143469548 -0.948660795.5 0.0000 -34.82605581 0.0000 -0.220486 -0.0194577309 0.272567075.6 0.0000 40.277397296 0.0000 0.1962857 0.0173220986 0.463029515.7 0.0000 -31.016807 0.0000 -0.103242 -0.0091110037 -0.991691565.8 0.0000 11.182975798 0.0000 -0.021501 -0.0018974349 1.135962945.9 0.0000 11.53628293 0.0000 0.131545 0.0116087659 -0.86583892

6 0.0000 -28.85306135 0.0000 -0.188358 -0.0166224946 0.301213716.1 0.0000 34.87733557 0.0000 0.1746111 0.0154093217 0.339422626.2 0.0000 -28.08888326 0.0000 -0.099185 -0.0087529876 -0.82266886.3 0.0000 11.635507241 0.0000 -0.007479 -0.0006599902 0.984528756.4 0.0000 8.0550677233 0.0000 0.1054747 0.0093080816 -0.785167316.5 0.0000 -23.75841394 0.0000 -0.160241 -0.0141411709 0.316182266.6 0.0000 30.082059158 0.0000 0.1546184 0.0136449805 0.239540776.7 0.0000 -25.29124383 0.0000 -0.094011 -0.0082963847 -0.678368076.8 0.0000 11.723882406 0.0000 0.003184 0.0002809838 0.849915446.9 0.0000 5.2744264283 0.0000 0.0836787 0.0073845983 -0.70784315

7 0.0000 -19.43128948 0.0000 -0.135733 -0.0119783326 0.320584537.1 0.0000 25.842980158 0.0000 0.1363159 0.0120297983 0.159578087.2 0.0000 -22.65141849 0.0000 -0.088111 -0.0077757787 -0.555689627.3 0.0000 11.537626055 0.0000 0.011101 0.00097966 0.730798397.4 0.0000 3.0783418244 0.0000 0.0655532 0.0057850304 -0.634690997.5 0.0000 -15.77216154 0.0000 -0.114455 -0.0101005897 0.316978587.6 0.0000 22.111733225 0.0000 0.1196734 0.0105611048 0.096255317.7 0.0000 -20.18662711 0.0000 -0.081796 -0.0072184485 -0.451846377.8 0.0000 11.1496997 0.0000 0.0167914 0.001481827 0.625851887.9 0.0000 1.3673378956 0.0000 0.0505669 0.0044624958 -0.5662385

8 0.0000 -12.69210796 0.0000 -0.096055 -0.0084767965 0.307452668.1 0.0000 18.84116112 0.0000 0.1046324 0.009233746 0.046758198.2 0.0000 -17.90599729 0.0000 -0.075305 -0.006645615 -0.364345418.3 0.0000 10.619089048 0.0000 0.0206915 0.0018260091 0.533777898.4 0.0000 0.0564688346 0.0000 0.0382543 0.003375918 -0.502779728.5 0.0000 -10.11206313 0.0000 -0.080206 -0.0070781586 0.293698188.6 0.0000 15.986026799 0.0000 0.0911147 0.0080408187 0.008681368.7 0.0000 -15.81239956 0.0000 -0.068822 -0.0060735052 -0.290967848.8 0.0000 9.9930427691 0.0000 0.0231668 0.0020444599 0.453327148.9 0.0000 -0.926499928 0.0000 0.0282093 0.0024894526 -0.44442729

9 0.0000 -7.962045843 0.0000 -0.06661 -0.005878263 0.277072989.1 0.0000 13.503505382 0.0000 0.079029 0.0069742581 -0.020022569.2 0.0000 -13.90395649 0.0000 -0.062485 -0.0055142562 -0.229747739.3 0.0000 9.3090019018 0.0000 0.0245219 0.0021640428 0.383313719.4 0.0000 -1.642727714 0.0000 0.0200788 0.0017719457 -0.391155659.5 0.0000 -6.180385331 0.0000 -0.054992 -0.0048530486 0.258655779.6 0.0000 11.353500657 0.0000 0.0682759 0.0060253033 -0.041088739.7 0.0000 -12.17527521 0.0000 -0.056393 -0.004976681 -0.178950969.8 0.0000 8.5962560306 0.0000 0.0250087 0.0022070053 0.322624699.9 0.0000 -2.143762322 0.0000 0.0135573 0.0011964269 -0.34283625

Page 53: Hojas de Calculo Fransua

10 0.0000 -4.712962739 0.0000 -0.045108 -0.0039807342 0.2392930310.1 0.0000 9.4988233707 0.0000 0.0587524 0.0051848606 -0.0559811410.2 0.0000 -10.61844609 0.0000 -0.050617 -0.0044669134 -0.1370543510.3 0.0000 7.8773591746 0.0000 0.0248348 0.0021916592 0.270225810.4 0.0000 -2.472843217 0.0000 0.0083812 0.0007396401 -0.2992661810.5 0.0000 -3.512480377 0.0000 -0.036734 -0.0032417144 0.2196390910.6 0.0000 7.9052621608 0.0000 0.0503548 0.004443783 -0.0659291410.7 0.0000 -9.223844966 0.0000 -0.045201 -0.0039889484 -0.1027254910.8 0.0000 7.169335224 0.0000 0.0241698 0.0021329743 0.2251639410.9 0.0000 -2.66605643 0.0000 0.0043242 0.0003816112 -0.2601912

11 0.0000 -2.537767587 0.0000 -0.029671 -0.0026184364 0.2001902511.1 0.0000 6.5415725572 0.0000 0.0429814 0.0037930803 -0.0719599111.2 0.0000 -7.980770841 0.0000 -0.040171 -0.003545093 -0.0748035511.3 0.0000 6.4846998092 0.0000 0.0231514 0.0020430951 0.1865673111.4 0.0000 -2.753353532 0.0000 0.0011927 0.0001052546 -0.2253241211.5 0.0000 -1.75312895 0.0000 -0.023743 -0.0020952618 0.181313811.6 0.0000 5.3794048623 0.0000 0.0365337 0.0032240736 -0.0749270911.7 0.0000 -6.877946631 0.0000 -0.03554 -0.0031363407 -0.052281211.8 0.0000 5.8323226849 0.0000 0.0218901 0.001931789 0.1536437911.9 0.0000 -2.759446866 0.0000 -0.001178 -0.0001039843 -0.19435926

12 0.0000 -1.127738243 0.0000 -0.018791 -0.0016583231 0.1632724812.1 0.0000 4.3931878054 0.0000 0.0309181 0.0027285037 -0.0755359412.2 0.0000 -5.903906646 0.0000 -0.031305 -0.0027626798 -0.0342877312.3 0.0000 5.2181521028 0.0000 0.0204742 0.001806832 0.1256779612.4 0.0000 -2.70459283 0.0000 -0.002929 -0.0002584511 -0.1669836312.5 0.0000 -0.635079702 0.0000 -0.014679 -0.0012953777 0.1462450912.6 0.0000 3.5599815821 0.0000 0.0260467 0.0022986039 -0.0743654612.7 0.0000 -5.047290818 0.0000 -0.02746 -0.0024233457 -0.0200735312.8 0.0000 4.6458202249 0.0000 0.0189728 0.0016743423 0.1020272912.9 0.0000 -2.605274448 0.0000 -0.004176 -0.0003685713 -0.14288556

13 0.0000 -0.252436761 0.0000 -0.011282 -0.0009956634 0.1303437213.1 0.0000 2.8593111284 0.0000 0.0218375 0.0019271433 -0.0718875813.2 0.0000 -4.297062795 0.0000 -0.023989 -0.0021170268 -0.0089958213.3 0.0000 4.1171464086 0.0000 0.0174399 0.0015390637 0.0821176313.4 0.0000 -2.474793823 0.0000 -0.005021 -0.0004431077 -0.1217610613.5 0.0000 0.0395726646 0.0000 -0.008496 -0.0007497585 0.1156280413.6 0.0000 2.272988183 0.0000 0.0182148 0.0016074483 -0.0684839113.7 0.0000 -3.642666305 0.0000 -0.020873 -0.0018420298 -0.0005056613.8 0.0000 3.632553167 0.0000 0.0159164 0.0014046094 0.0654384413.9 0.0000 -2.323784332 0.0000 -0.005546 -0.0004893893 -0.10331842

14 0.0000 0.2574160101 0.0000 -0.006226 -0.0005494481 0.1021172414.1 0.0000 1.7849287832 0.0000 0.0151095 0.001333406 -0.0644601614.2 0.0000 -3.074131927 0.0000 -0.01809 -0.0015964123 0.0058637914.3 0.0000 3.1914077733 0.0000 0.0144326 0.0012736675 0.051537814.4 0.0000 -2.160651699 0.0000 -0.005819 -0.0005135134 -0.0872814214.5 0.0000 0.4150232531 0.0000 -0.004392 -0.0003875982 0.0897997314.6 0.0000 1.3809712706 0.0000 0.0124585 0.0010994553 -0.0600586614.7 0.0000 -2.582144416 0.0000 -0.015616 -0.0013780866 0.01050782

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14.8 0.0000 2.7923008208 0.0000 0.0130106 0.0011481758 0.0400174314.9 0.0000 -1.991952285 0.0000 -0.005898 -0.0005205235 -0.07339141

15 0.0000 0.5241240392 0.0000 -0.002924 -0.0002580375 0.0786411315.1 0.0000 1.0486985987 0.0000 0.0102048 0.000900568 -0.0554690215.2 0.0000 -2.15807904 0.0000 -0.013427 -0.0011849018 0.0137596315.3 0.0000 2.4332715698 0.0000 0.0116654 0.0010294679 0.0305277715.4 0.0000 -1.82271623 0.0000 -0.005831 -0.0005145655 -0.0614084315.5 0.0000 0.5945475454 0.0000 -0.001761 -0.0001554491 0.0685907615.6 0.0000 0.7772676867 0.0000 0.0082972 0.0007322233 -0.0508373115.7 0.0000 -1.794013928 0.0000 -0.011498 -0.0010147056 0.0158987315.8 0.0000 2.1119885886 0.0000 0.0104068 0.0009183967 0.0227633115.9 0.0000 -1.656722327 0.0000 -0.005655 -0.0004990235 -0.05111172

16 0.0000 0.6344879801 0.0000 -0.000853 -7.527013E-05 0.0595867916.1 0.0000 0.5572477259 0.0000 0.0066899 0.000590378 -0.0462738216.2 0.0000 -1.482724181 0.0000 -0.009806 -0.000865391 0.0171584416.3 0.0000 1.8258930233 0.0000 0.0092401 0.0008154366 0.0164581116.4 0.0000 -1.496730827 0.0000 -0.005401 -0.0004766384 -0.0422996116.5 0.0000 0.6507386286 0.0000 -0.000154 -1.360069E-05 0.0515603716.6 0.0000 0.3804686729 0.0000 0.0053421 0.0004714331 -0.0418596916.7 0.0000 -1.217662455 0.0000 -0.008328 -0.0007349305 0.0177324216.8 0.0000 1.5723107947 0.0000 0.0081674 0.000720768 0.0113815516.9 0.0000 -1.344679725 0.0000 -0.005095 -0.0004496104 -0.03478912

17 0.0000 0.6488973033 0.0000 0.0003726 3.2878432E-05 0.044438917.1 0.0000 0.239880633 0.0000 0.0042176 0.0003722003 -0.0376524617.2 0.0000 -0.992929827 0.0000 -0.007041 -0.0006213995 0.0177804617.3 0.0000 1.3485391065 0.0000 0.0071881 0.0006343478 0.0073344817.4 0.0000 -1.201849474 0.0000 -0.004756 -0.0004196869 -0.0284151817.5 0.0000 0.6335459533 0.0000 0.000759 6.698022E-05 0.0381485217.6 0.0000 0.1294244295 0.0000 0.0032846 0.0002898672 -0.0336907817.7 0.0000 -0.803240018 0.0000 -0.005926 -0.0005229922 0.0174335917.8 0.0000 1.1519118535 0.0000 0.0062999 0.0005559658 0.0041455717.9 0.0000 -1.0690005 0.0000 -0.004399 -0.0003882394 -0.02302967

18 0.0000 0.608407054 0.0000 0.0010321 9.1077922E-05 0.0326160218.1 0.0000 0.0439133348 0.0000 0.0025152 0.0002219637 -0.029998318.2 0.0000 -0.643879405 0.0000 -0.004964 -0.0004380304 0.0167984218.3 0.0000 0.9798478166 0.0000 0.0054991 0.0004852917 0.0016680218.4 0.0000 -0.94648739 0.0000 -0.004038 -0.0003563276 -0.0185004118.5 0.0000 0.576479239 0.0000 0.0012143 0.0001071644 0.0277702518.6 0.0000 -0.02107429 0.0000 0.0018848 0.0001663292 -0.0265869518.7 0.0000 -0.510664739 0.0000 -0.004136 -0.0003649679 0.0159610118.8 0.0000 0.8298849313 0.0000 0.0047809 0.000421912 -0.0002234118.9 0.0000 -0.83435315 0.0000 -0.00368 -0.0003247553 -0.01470993

19 0.0000 0.5401544649 0.0000 0.0013247 0.0001169045 0.0235431319.1 0.0000 -0.069291874 0.0000 0.001372 0.0001210811 -0.023459619.2 0.0000 -0.399900063 0.0000 -0.003427 -0.0003023904 0.0149901719.3 0.0000 0.6997033854 0.0000 0.0041401 0.0003653601 -0.0016351619.4 0.0000 -0.732406506 0.0000 -0.003333 -0.0002941169 -0.0115543819.5 0.0000 0.5013188238 0.0000 0.0013788 0.000121682 0.01987036

Page 55: Hojas de Calculo Fransua

19.6 0.0000 -0.103911584 0.0000 0.0009585 8.4586248E-05 -0.0206122819.7 0.0000 -0.308333952 0.0000 -0.002822 -0.0002490128 0.013940319.8 0.0000 0.5871398559 0.0000 0.003571 0.0003151395 -0.0026572519.9 0.0000 -0.640284845 0.0000 -0.003001 -0.0002648378 -0.0089423

20 0.0000 0.4614389367 0.0000 0.0013897 0.0001226399 0.01669185

Masa M 0.0912Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.0955

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 0.3 MAX Uivelocidad inicial Ůo 0.4 MAX U´iaceleracion inicial ϋ o 0.5 MAX U´´i

periodo de la estru T 0.6

CALCULOS INICIALES WnÜo 10.014342483 TnΔt 10.018418479 estabilidad^K 10.02 10.0 NO ESTABLEa 0.23 0.34b 0.18 0.2783

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.014342483 5.0000 5.1039941 0.4504244219 8.208488440.1 5.0000 154.15542626 3.6603 5.5874535 0.493089421 -7.355188450.2 8.6603 -301.2591953 1.3397 -0.019571 -0.0017271586 -2.541143140.3 10.0000 250.43633252 -1.3397 -0.2425 -0.0214004615 2.147677080.4 8.6603 -207.4827909 -3.6603 -4.596885 -0.4056723795 -9.833115440.5 5.0000 10.820482016 -5.0000 -6.139995 -0.5418508541 7.109545950.6 0.0000 131.370437 0.0000 0.41737 0.0368326496 4.464124120.7 0.0000 -42.0879545 0.0000 0.1330273 0.011739581 -4.96598550.8 0.0000 -57.23175545 0.0000 -0.604924 -0.0533841655 3.663510570.9 0.0000 130.5019668 0.0000 0.8339507 0.07359565 -1.12391426

1 0.0000 -152.980252 0.0000 -0.751839 -0.0663493072 -1.674984891.1 0.0000 119.48055424 0.0000 0.4054361 0.0357794908 3.717560851.2 0.0000 -45.12933733 0.0000 0.0665139 0.0058698141 -4.315754381.3 0.0000 -41.18575024 0.0000 -0.48816 -0.0430798008 3.336762081.4 0.0000 107.92099184 0.0000 0.711521 0.0627913018 -1.219340031.5 0.0000 -132.3077924 0.0000 -0.66785 -0.0589373631 -1.215233271.6 0.0000 108.00312695 0.0000 0.3877684 0.034220327 3.078387071.7 0.0000 -46.43538545 0.0000 0.0152677 0.0013473619 -3.735846381.8 0.0000 -28.28154208 0.0000 -0.3902 -0.0344349121 3.02020091.9 0.0000 88.685559993 0.0000 0.6045086 0.0533475231 -1.26455219

2 0.0000 -113.9766038 0.0000 -0.590568 -0.0521172517 -0.844743312.1 0.0000 97.081737722 0.0000 0.3661869 0.032315772 2.53340378

CASOS

ESPECIA

LES

D1114
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D1116
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C1117
estos son datos iniciales?
C1119
esta es igual a la aceleracion del sismo?
G1124
REVIZAR….
B1125
caso de aceleracion promedio
C1125
caso de aceleracion promedio
B1126
este es para el caso de aceleracion promedio
C1126
este es para el caso de aceleracion promedio
B1127
para el caso de aceleracion promedio
C1127
para el caso de aceleracion promedio
A1130
el tiempo lo vamos a variar
B1130
ESTE ES EL DATO QUE VA A VARIAR
D1130
este dato no es igual al de la segunda columna?
C1131
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 56: Hojas de Calculo Fransua

2.2 0.0000 -46.41366211 0.0000 -0.023441 -0.0020686629 -3.221092482.3 0.0000 -18.00818748 0.0000 -0.308433 -0.0272190047 2.718085642.4 0.0000 72.369900323 0.0000 0.511347 0.0451260668 -1.271184212.5 0.0000 -97.79358457 0.0000 -0.519972 -0.0458872366 -0.549081862.6 0.0000 86.811947456 0.0000 0.3421389 0.030193552 2.070697632.7 0.0000 -45.39799491 0.0000 -0.051927 -0.0045824926 -2.766218522.8 0.0000 -9.926375502 0.0000 -0.240553 -0.0212286843 2.433294692.9 0.0000 58.592269268 0.0000 0.4305647 0.0379970755 -1.24877949

3 0.0000 -83.56785914 0.0000 -0.455905 -0.0402333112 -0.315828243.1 0.0000 77.251294337 0.0000 0.3167615 0.0279540119 1.67957473.2 0.0000 -43.6598003 0.0000 -0.072142 -0.0063665102 -2.365985143.3 0.0000 -3.659902566 0.0000 -0.184536 -0.016285232 2.167610713.4 0.0000 47.012116685 0.0000 0.3607931 0.0318397715 -1.205110643.5 0.0000 -71.11432941 0.0000 -0.398106 -0.0351325809 -0.134336413.6 0.0000 68.427601172 0.0000 0.2909349 0.0256748297 1.350484623.7 0.0000 -41.41790871 0.0000 -0.085729 -0.0075655331 -2.015291883.8 0.0000 1.112071147 0.0000 -0.13861 -0.0122322582 1.921957383.9 0.0000 37.327076398 0.0000 0.3007701 0.0265427776 -1.14645666

4 0.0000 -60.25620965 0.0000 -0.346246 -0.0305559876 0.004481364.1 0.0000 60.345836854 0.0000 0.265328 0.0234150344 1.074939084.2 0.0000 -38.84705527 0.0000 -0.094059 -0.0083006166 -1.70925214.3 0.0000 4.6620132722 0.0000 -0.10123 -0.0089334631 1.696595174.4 0.0000 29.269890123 0.0000 0.2493406 0.0220041551 -1.077842814.5 0.0000 -50.82674624 0.0000 -0.299951 -0.0264704827 0.108350054.6 0.0000 52.993747235 0.0000 0.240437 0.0212184175 0.845427954.7 0.0000 -36.08518815 0.0000 -0.098272 -0.0086724125 -1.443244564.8 0.0000 7.2202970435 0.0000 -0.071055 -0.0062705283 1.491282244.9 0.0000 22.60534775 0.0000 0.2054544 0.0181312294 -1.00324709

5 0.0000 -42.67028948 0.0000 -0.25882 -0.0228407408 0.183807685.1 0.0000 46.346443129 0.0000 0.2166181 0.0191164155 0.655335445.2 0.0000 -33.23973427 0.0000 -0.099311 -0.0087641247 -1.212946255.3 0.0000 8.9808093268 0.0000 -0.046926 -0.0041411494 1.305405755.4 0.0000 17.127305731 0.0000 0.1681627 0.0148402592 -0.925777585.5 0.0000 -35.64285732 0.0000 -0.222443 -0.0196304919 0.236362565.6 0.0000 40.370108478 0.0000 0.194115 0.0171305347 0.498857975.7 0.0000 -30.392949 0.0000 -0.097951 -0.0086440983 -1.014350635.8 0.0000 10.105936298 0.0000 -0.027844 -0.0024572188 1.138088225.9 0.0000 12.655828192 0.0000 0.1366128 0.0120559972 -0.8478239

6 0.0000 -29.61230628 0.0000 -0.19041 -0.0168035394 0.270633176.1 0.0000 35.024969741 0.0000 0.173082 0.0152743818 0.370925256.2 0.0000 -27.60646474 0.0000 -0.094823 -0.0083680783 -0.843774456.3 0.0000 10.730975669 0.0000 -0.012954 -0.0011431581 0.988272866.4 0.0000 9.0344814955 0.0000 0.1100424 0.0097111773 -0.771186156.5 0.0000 -24.45820448 0.0000 -0.162319 -0.0143245212 0.290472186.6 0.0000 30.267648039 0.0000 0.1536028 0.0135553538 0.267125326.7 0.0000 -24.9251416 0.0000 -0.090439 -0.0079811731 -0.697855866.8 0.0000 10.968024423 0.0000 -0.001523 -0.0001344 0.854791326.9 0.0000 6.1278019935 0.0000 0.0877735 0.0077459598 -0.69718413

Page 57: Hojas de Calculo Fransua

7 0.0000 -20.0714845 0.0000 -0.137785 -0.0121594618 0.299075697.1 0.0000 26.052998391 0.0000 0.1357067 0.0119760379 0.18363437.2 0.0000 -22.38031242 0.0000 -0.085208 -0.0075195531 -0.573546127.3 0.0000 10.909390045 0.0000 0.0070707 0.000623986 0.73641697.4 0.0000 3.8189480106 0.0000 0.0692056 0.0061073547 -0.626749537.5 0.0000 -16.35393859 0.0000 -0.116444 -0.0102761552 0.299079337.6 0.0000 22.335525204 0.0000 0.1193817 0.0105353635 0.117151047.7 0.0000 -19.99250435 0.0000 -0.079456 -0.0070119168 -0.468096657.8 0.0000 10.630571405 0.0000 0.0133545 0.0011785303 0.631905597.9 0.0000 2.0075403594 0.0000 0.0538094 0.0047486436 -0.56050332

8 0.0000 -13.21760681 0.0000 -0.097954 -0.0086444148 0.292642168.1 0.0000 19.070449928 0.0000 0.1045848 0.0092295434 0.064837018.2 0.0000 -17.77370978 0.0000 -0.073437 -0.0064807478 -0.379042838.3 0.0000 10.192853183 0.0000 0.0177732 0.0015684701 0.540027198.4 0.0000 0.607690556 0.0000 0.0411199 0.0036288105 -0.498820388.5 0.0000 -10.58409814 0.0000 -0.081997 -0.0072362158 0.281519858.6 0.0000 16.214495223 0.0000 0.0912509 0.0080528376 0.024261218.7 0.0000 -15.72927097 0.0000 -0.067348 -0.0059433918 -0.30418588.8 0.0000 9.6455549777 0.0000 0.0206997 0.0018267359 0.459588358.9 0.0000 -0.453787935 0.0000 0.030731 0.0027119937 -0.4418832

9 0.0000 -8.383875969 0.0000 -0.068281 -0.0060257562 0.26712829.1 0.0000 13.726439918 0.0000 0.0792999 0.006998167 -0.006649739.2 0.0000 -13.85943459 0.0000 -0.061337 -0.0054129727 -0.241573069.3 0.0000 9.0279733752 0.0000 0.0224458 0.0019808256 0.389449039.4 0.0000 -1.23899286 0.0000 0.0222887 0.0019669638 -0.389726269.5 0.0000 -6.555532358 0.0000 -0.056538 -0.0049894542 0.25059799.6 0.0000 11.567490366 0.0000 0.0686419 0.0060576023 -0.029656779.7 0.0000 -12.16062578 0.0000 -0.055515 -0.0048991701 -0.189478689.8 0.0000 8.3710522487 0.0000 0.0232701 0.0020535764 0.328533619.9 0.0000 -1.800380094 0.0000 0.015486 0.001366633 -0.3422724810 0.0000 -5.045069443 0.0000 -0.046526 -0.0041058987 0.23282184

10.1 0.0000 9.7015062918 0.0000 0.0591817 0.0052227477 -0.0462489110.2 0.0000 -10.62648458 0.0000 -0.049959 -0.0044088756 -0.1463835510.3 0.0000 7.6988135553 0.0000 0.0233865 0.0020638435 0.2758379310.4 0.0000 -2.182054896 0.0000 0.0100578 0.0008875986 -0.2993628310.5 0.0000 -3.805201714 0.0000 -0.038026 -0.0033557652 0.2144955510.6 0.0000 8.0951128059 0.0000 0.0508223 0.0044850394 -0.0576794610.7 0.0000 -9.248702092 0.0000 -0.044723 -0.0039467442 -0.1109562110.8 0.0000 7.0295779507 0.0000 0.0229701 0.0020270933 0.2304329610.9 0.0000 -2.420918785 0.0000 0.0057759 0.000509722 -0.26078039

11 0.0000 -2.794688935 0.0000 -0.030841 -0.0027217078 0.1961517911.1 0.0000 6.7177247485 0.0000 0.0434674 0.0038359717 -0.064998211.2 0.0000 -8.017688762 0.0000 -0.039838 -0.003515656 -0.0820343511.3 0.0000 6.3770017115 0.0000 0.0221636 0.0019559217 0.1914659111.4 0.0000 -2.547683579 0.0000 0.0024447 0.0002157422 -0.226269511.5 0.0000 -1.977706377 0.0000 -0.024796 -0.0021882365 0.1781899211.6 0.0000 5.5415048512 0.0000 0.0370231 0.0032672659 -0.0690798711.7 0.0000 -6.923102346 0.0000 -0.035321 -0.0031170993 -0.05860743

Page 58: Hojas de Calculo Fransua

11.8 0.0000 5.750953755 0.0000 0.0210823 0.0018605033 0.1581594811.9 0.0000 -2.587764133 0.0000 -0.000103 -9.074375E-06 -0.19555103

12 0.0000 -1.323256553 0.0000 -0.019735 -0.0017415844 0.1609008312.1 0.0000 4.5412732359 0.0000 0.0313995 0.0027709914 -0.0706493212.2 0.0000 -5.954259604 0.0000 -0.031179 -0.0027514885 -0.0398002812.3 0.0000 5.1582540196 0.0000 0.0198186 0.0017489802 0.1298096512.4 0.0000 -2.562060983 0.0000 -0.002009 -0.0001772515 -0.1683342812.5 0.0000 -0.804624706 0.0000 -0.015519 -0.0013695714 0.1444878912.6 0.0000 3.6943824141 0.0000 0.0265118 0.002339649 -0.0703034812.7 0.0000 -5.100451941 0.0000 -0.027404 -0.0024184244 -0.0248579912.8 0.0000 4.6032921132 0.0000 0.0184454 0.0016277971 0.1057824212.9 0.0000 -2.48764371 0.0000 -0.003393 -0.0002993882 -0.14432613

13 0.0000 -0.398878792 0.0000 -0.012028 -0.0010614686 0.1290845213.1 0.0000 2.9805691422 0.0000 0.0222803 0.0019662243 -0.0685306613.2 0.0000 -4.351182358 0.0000 -0.023988 -0.0021169072 -0.0131319713.3 0.0000 4.0885429711 0.0000 0.0170198 0.0015019887 0.0855098913.4 0.0000 -2.378345215 0.0000 -0.004356 -0.0003844138 -0.1232379413.5 0.0000 -0.086413542 0.0000 -0.009154 -0.0008078642 0.1147689313.6 0.0000 2.3817921321 0.0000 0.0186315 0.0016442167 -0.0657273113.7 0.0000 -3.696338351 0.0000 -0.020912 -0.001845509 -0.004067213.8 0.0000 3.6149942758 0.0000 0.0155857 0.0013754252 0.0684858913.9 0.0000 -2.245276488 0.0000 -0.004984 -0.0004398149 -0.10479069

14 0.0000 0.1494626272 0.0000 -0.006805 -0.0006005364 0.1015762614.1 0.0000 1.8820626635 0.0000 0.0154976 0.0013676507 -0.0622125214.2 0.0000 -3.126313124 0.0000 -0.018159 -0.0016025118 0.0028092714.3 0.0000 3.1824985904 0.0000 0.014176 0.0012510215 0.0542613914.4 0.0000 -2.097270744 0.0000 -0.005347 -0.0004718364 -0.0887185514.5 0.0000 0.3228997402 0.0000 -0.004899 -0.0004323307 0.0895086614.6 0.0000 1.4672735273 0.0000 0.0128168 0.0011310726 -0.058240614.7 0.0000 -2.63208548 0.0000 -0.015706 -0.0013860172 0.007898814.8 0.0000 2.7900615245 0.0000 0.012815 0.001130914 0.0424398214.9 0.0000 -1.941265098 0.0000 -0.005503 -0.0004856585 -0.07477127

15 0.0000 0.4458396763 0.0000 -0.003366 -0.0002970469 0.078543515.1 0.0000 1.1250304017 0.0000 0.0105331 0.0009295367 -0.0540118315.2 0.0000 -2.205267044 0.0000 -0.01353 -0.001194033 0.0115404415.3 0.0000 2.4360757878 0.0000 0.0115197 0.0010166102 0.0326724315.4 0.0000 -1.78262724 0.0000 -0.005502 -0.000485553 -0.0627156915.5 0.0000 0.5283134269 0.0000 -0.002145 -0.0001893322 0.0686401115.6 0.0000 0.8444886822 0.0000 0.0085959 0.0007585847 -0.0496817715.7 0.0000 -1.838124005 0.0000 -0.01161 -0.0010245394 0.0140192815.8 0.0000 2.1185096784 0.0000 0.0103016 0.0009091143 0.0246537915.9 0.0000 -1.625433887 0.0000 -0.005383 -0.0004750188 -0.05233645

16 0.0000 0.578704865 0.0000 -0.001185 -0.0001045844 0.0597451416.1 0.0000 0.6161979089 0.0000 0.00696 0.000614219 -0.0453690716.2 0.0000 -1.5235793 0.0000 -0.009921 -0.0008755392 0.015573916.3 0.0000 1.8350573856 0.0000 0.0091676 0.0008090316 0.0181175116.4 0.0000 -1.472707123 0.0000 -0.005177 -0.0004569011 -0.0434361716.5 0.0000 0.6039837575 0.0000 -0.00044 -3.886207E-05 0.05179695

Page 59: Hojas de Calculo Fransua

16.6 0.0000 0.4319552337 0.0000 0.005585 0.0004928732 -0.0411622416.7 0.0000 -1.25520012 0.0000 -0.008443 -0.0007450957 0.0164028716.8 0.0000 1.5832574597 0.0000 0.0081208 0.000716656 0.0128321716.9 0.0000 -1.326614108 0.0000 -0.004912 -0.000433494 -0.03583517

17 0.0000 0.6099107254 0.0000 0.0001269 1.1196361E-05 0.0447289817.1 0.0000 0.2846688127 0.0000 0.0044349 0.0003913806 -0.0371252917.2 0.0000 -1.027174666 0.0000 -0.007154 -0.0006313585 0.0166705117.3 0.0000 1.3605848885 0.0000 0.007162 0.0006320416 0.0085974917.4 0.0000 -1.18863506 0.0000 -0.004608 -0.0004066295 -0.0293709117.5 0.0000 0.6012167799 0.0000 0.000549 4.8445679E-05 0.0384724217.6 0.0000 0.1682315744 0.0000 0.0034781 0.0003069421 -0.0333024917.7 0.0000 -0.834281378 0.0000 -0.006035 -0.0005325823 0.01651217.8 0.0000 1.1645214255 0.0000 0.0062897 0.0005550617 0.0052408817.9 0.0000 -1.05970385 0.0000 -0.004281 -0.0003777541 -0.02389719

18 0.0000 0.5817599543 0.0000 0.0008533 7.5299764E-05 0.0329582718.1 0.0000 0.0774054752 0.0000 0.0026866 0.0002370941 -0.0297223918.2 0.0000 -0.671853179 0.0000 -0.005067 -0.0004471378 0.0160377518.3 0.0000 0.992608115 0.0000 0.005501 0.0004854571 0.0026141518.4 0.0000 -0.94032506 0.0000 -0.003943 -0.0003479944 -0.0192831818.5 0.0000 0.5546614069 0.0000 0.0010628 9.3790284E-05 0.0281188818.6 0.0000 0.0077161031 0.0000 0.002036 0.0001796774 -0.0264011318.7 0.0000 -0.535738754 0.0000 -0.004233 -0.0003735177 0.0153372318.8 0.0000 0.8424833537 0.0000 0.0047918 0.0004228749 0.0005906218.9 0.0000 -0.830670906 0.0000 -0.003606 -0.0003182132 -0.01541238

19 0.0000 0.5224232202 0.0000 0.0011968 0.0001056189 0.0238890319.1 0.0000 -0.044642701 0.0000 0.0015049 0.0001328073 -0.0233452619.2 0.0000 -0.42226245 0.0000 -0.003517 -0.0003103384 0.0144823419.3 0.0000 0.7119092993 0.0000 0.0041575 0.0003668995 -0.0009375819.4 0.0000 -0.730660967 0.0000 -0.003275 -0.0002890572 -0.0121815519.5 0.0000 0.4870299549 0.0000 0.0012714 0.0001122035 0.0202067619.6 0.0000 -0.082894662 0.0000 0.0010747 9.4845114E-05 -0.0205539319.7 0.0000 -0.328183996 0.0000 -0.002905 -0.0002563391 0.0135302519.8 0.0000 0.5987889845 0.0000 0.003593 0.0003170775 -0.0020619219.9 0.0000 -0.640027353 0.0000 -0.002957 -0.0002609972 -0.00949958

20 0.0000 0.4500358497 0.0000 0.0012999 0.000114719 0.0170139

Masa M 0.1241Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.1114

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 0.4 MAX Uivelocidad inicial Ůo 0.5 MAX U´iaceleracion inicial ϋ o 0.6 MAX U´´i

periodo de la estru T 0.7

CALCULOS INICIALES Wn

CASOS

ESPECIA

LES

D1336
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D1338
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C1339
estos son datos iniciales?
C1341
esta es igual a la aceleracion del sismo?
Page 60: Hojas de Calculo Fransua

Üo 10.018418479 TnΔt 10.022697644 estabilidad^K 10.03 10.0 NO ESTABLEa 0.27 0.41b 0.25 0.3779

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.018418479 5.0000 5.11733 0.4516013041 8.032026080.1 5.0000 150.62210315 3.6603 5.5593723 0.4906112762 -7.251826640.2 8.6603 -295.6586359 1.3397 0.0123832 0.0010928057 -2.538542770.3 10.0000 244.88778056 -1.3397 -0.266681 -0.023534449 2.045997680.4 8.6603 -203.9678271 -3.6603 -4.588689 -0.4049490744 -9.674290180.5 5.0000 10.482023383 -5.0000 -6.130172 -0.5409840324 6.953591020.6 0.0000 128.5897971 0.0000 0.3940544 0.0347750652 4.561590930.7 0.0000 -37.35797854 0.0000 0.1607389 0.0141851111 -4.973390010.8 0.0000 -62.10982163 0.0000 -0.626873 -0.0553211745 3.58326430.9 0.0000 133.77510757 0.0000 0.842611 0.0743599138 -0.98964253

1 0.0000 -153.5679582 0.0000 -0.744859 -0.0657333647 -1.812223041.1 0.0000 117.32349736 0.0000 0.3861917 0.0340811826 3.808513991.2 0.0000 -41.15321762 0.0000 0.0904512 0.0079822601 -4.330492441.3 0.0000 -45.4566311 0.0000 -0.507965 -0.0448275775 3.274295681.4 0.0000 110.94254478 0.0000 0.7203424 0.0635697847 -1.106348441.5 0.0000 -133.0695136 0.0000 -0.66315 -0.0585225751 -1.335498751.6 0.0000 106.35953849 0.0000 0.3719874 0.0328276612 3.162503481.7 0.0000 -43.10946885 0.0000 0.0358627 0.0031648642 -3.755759421.8 0.0000 -32.00571959 0.0000 -0.407973 -0.0360033327 2.972395481.9 0.0000 91.453629247 0.0000 0.6132607 0.0541198924 -1.16993098

2 0.0000 -114.8522489 0.0000 -0.587676 -0.0518620462 -0.949707792.1 0.0000 95.858093025 0.0000 0.3533395 0.0311819994 2.61058872.2 0.0000 -43.64631895 0.0000 -0.005793 -0.0005111888 -3.244452472.3 0.0000 -21.24273041 0.0000 -0.324301 -0.0286193279 2.682289692.4 0.0000 74.888524132 0.0000 0.5198588 0.0458772264 -1.19235862.5 0.0000 -98.73569615 0.0000 -0.518497 -0.0457570429 -0.640326792.6 0.0000 85.929160437 0.0000 0.3317653 0.0292780857 2.141029362.7 0.0000 -43.10857328 0.0000 -0.036865 -0.0032532984 -2.791657042.8 0.0000 -12.72456752 0.0000 -0.254653 -0.0224729613 2.407263782.9 0.0000 60.869843165 0.0000 0.4387132 0.0387161763 -1.18348103

3 0.0000 -84.53946377 0.0000 -0.455522 -0.0401995463 -0.394833423.1 0.0000 76.642795346 0.0000 0.3084639 0.0272217546 1.743259443.2 0.0000 -41.77760655 0.0000 -0.059342 -0.0052369029 -2.392432593.3 0.0000 -6.071045268 0.0000 -0.197008 -0.0173858488 2.149453673.4 0.0000 49.060118745 0.0000 0.368494 0.0325193784 -1.151349133.5 0.0000 -72.08710136 0.0000 -0.39855 -0.0351717617 -0.202473673.6 0.0000 68.037627935 0.0000 0.2843708 0.0250955509 1.407819923.7 0.0000 -39.88122945 0.0000 -0.074898 -0.0066097263 -2.041925473.8 0.0000 -0.957279912 0.0000 -0.149594 -0.0132015841 1.910088313.9 0.0000 39.159046161 0.0000 0.3079701 0.0271781726 -1.10249318

G1346
REVIZAR….
B1347
caso de aceleracion promedio
C1347
caso de aceleracion promedio
B1348
este es para el caso de aceleracion promedio
C1348
este es para el caso de aceleracion promedio
B1349
para el caso de aceleracion promedio
C1349
para el caso de aceleracion promedio
A1352
el tiempo lo vamos a variar
B1352
ESTE ES EL DATO QUE VA A VARIAR
D1352
este dato no es igual al de la segunda columna?
C1353
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 61: Hojas de Calculo Fransua

4 0.0000 -61.20890973 0.0000 -0.347299 -0.0306489562 -0.05404944.1 0.0000 60.127921786 0.0000 0.2602035 0.0229627996 1.126284514.2 0.0000 -37.60223154 0.0000 -0.084936 -0.0074955554 -1.735451614.3 0.0000 2.8931992987 0.0000 -0.110863 -0.0097835891 1.689690944.4 0.0000 30.900619492 0.0000 0.2560103 0.0225927569 -1.042164024.5 0.0000 -51.74389991 0.0000 -0.301438 -0.0266017329 0.058274234.6 0.0000 52.909384412 0.0000 0.236501 0.0208710677 0.891181794.7 0.0000 -35.08574866 0.0000 -0.090625 -0.0079975846 -1.468554834.8 0.0000 5.714651978 0.0000 -0.079469 -0.0070130762 1.4882454.9 0.0000 24.050248055 0.0000 0.2115834 0.0186721121 -0.97454123

5 0.0000 -43.54107275 0.0000 -0.2606 -0.0229978352 0.141142295.1 0.0000 46.363918498 0.0000 0.2136569 0.0188550968 0.695916355.2 0.0000 -32.44559143 0.0000 -0.092934 -0.0082013635 -1.237045565.3 0.0000 7.7046802544 0.0000 -0.054246 -0.0047871398 1.305330035.4 0.0000 18.401920371 0.0000 0.1737548 0.0153337571 -0.902912095.5 0.0000 -36.46016222 0.0000 -0.224404 -0.0198035593 0.200165775.6 0.0000 40.463477525 0.0000 0.1919478 0.0169392744 0.534690915.7 0.0000 -29.76965936 0.0000 -0.092662 -0.0081773851 -1.03702415.8 0.0000 9.029177415 0.0000 -0.034187 -0.0030169844 1.140232115.9 0.0000 13.775464789 0.0000 0.1416823 0.0125033808 -0.82982481

6 0.0000 -30.37196092 0.0000 -0.192464 -0.0169848429 0.240060336.1 0.0000 35.173167593 0.0000 0.1715559 0.0151397088 0.40243076.2 0.0000 -27.1245536 0.0000 -0.090463 -0.007983348 -0.864891846.3 0.0000 9.8267168728 0.0000 -0.018428 -0.001626294 0.992032926.4 0.0000 10.013941478 0.0000 0.1146114 0.0101143912 -0.757219216.5 0.0000 -25.15832577 0.0000 -0.164399 -0.0145080891 0.264769616.6 0.0000 30.453717926 0.0000 0.1525898 0.0134659607 0.294711396.7 0.0000 -24.55949016 0.0000 -0.086869 -0.0076661267 -0.717353136.8 0.0000 10.212427472 0.0000 -0.006229 -0.0005497423 0.859680826.9 0.0000 6.9811889798 0.0000 0.0918693 0.0081074113 -0.68653775

7 0.0000 -20.71194401 0.0000 -0.13984 -0.0123407729 0.277574077.1 0.0000 26.263425354 0.0000 0.1350999 0.0119224812 0.207691027.2 0.0000 -22.10960504 0.0000 -0.082306 -0.007263479 -0.591410227.3 0.0000 10.281400648 0.0000 0.0030409 0.0002683599 0.7420477.4 0.0000 4.5595393168 0.0000 0.0728588 0.0064297461 -0.618819277.5 0.0000 -16.9359248 0.0000 -0.118436 -0.0104518721 0.281186917.6 0.0000 22.559662982 0.0000 0.119092 0.0105097991 0.138046527.7 0.0000 -19.79873267 0.0000 -0.077117 -0.0068055228 -0.484352957.8 0.0000 10.111673616 0.0000 0.0099183 0.0008752851 0.637969117.9 0.0000 2.6477085661 0.0000 0.0570524 0.0050348397 -0.55477802

8 0.0000 -13.74326888 0.0000 -0.099855 -0.0088121584 0.277838058.1 0.0000 19.300029959 0.0000 0.1045389 0.0092254938 0.082914998.2 0.0000 -17.64173015 0.0000 -0.07157 -0.006316005 -0.393744978.3 0.0000 9.7668307976 0.0000 0.0148554 0.0013109842 0.546284758.4 0.0000 1.1588642457 0.0000 0.043986 0.0038817363 -0.494869718.5 0.0000 -11.05625844 0.0000 -0.08379 -0.007394376 0.269347468.6 0.0000 16.443207726 0.0000 0.0913886 0.0080649884 0.039839828.7 0.0000 -15.64641127 0.0000 -0.065875 -0.0058133903 -0.3174074

Page 62: Hojas de Calculo Fransua

8.8 0.0000 9.298263317 0.0000 0.0182332 0.001609065 0.46585658.9 0.0000 0.0188667444 0.0000 0.033253 0.0029345562 -0.43934668

9 0.0000 -8.805800297 0.0000 -0.069953 -0.0061733335 0.257188889.1 0.0000 13.94957797 0.0000 0.0795721 0.0070221892 0.006721579.2 0.0000 -13.81514658 0.0000 -0.060191 -0.0053117894 -0.253401149.3 0.0000 8.747123763 0.0000 0.0203702 0.0017976604 0.395590149.4 0.0000 -0.835321037 0.0000 0.0244987 0.0021619939 -0.388303479.5 0.0000 -6.93074827 0.0000 -0.058085 -0.005125928 0.242545039.6 0.0000 11.781648828 0.0000 0.0690089 0.006089998 -0.018226519.7 0.0000 -12.14617901 0.0000 -0.054638 -0.0048217484 -0.200008429.8 0.0000 8.1460106351 0.0000 0.0215321 0.0019001977 0.334447349.9 0.0000 -1.457063821 0.0000 0.0174148 0.0015368437 -0.3417144210 0.0000 -5.377224587 0.0000 -0.047945 -0.004231118 0.22635519

10.1 0.0000 9.9043282979 0.0000 0.0596119 0.0052607171 -0.0365184810.2 0.0000 -10.63469796 0.0000 -0.049303 -0.0043509168 -0.1557141910.3 0.0000 7.5204140706 0.0000 0.0219387 0.0019360754 0.2814540410.4 0.0000 -1.891333302 0.0000 0.0117344 0.0010355563 -0.2994644210.5 0.0000 -4.097955136 0.0000 -0.039319 -0.0034698594 0.2093561110.6 0.0000 8.2850773221 0.0000 0.0512906 0.0045263655 -0.0494316110.7 0.0000 -9.273709553 0.0000 -0.044245 -0.0039046098 -0.1191878910.8 0.0000 6.8899516572 0.0000 0.0217708 0.0019212571 0.2357052310.9 0.0000 -2.175847007 0.0000 0.0072276 0.0006378276 -0.26137382

11 0.0000 -3.051629429 0.0000 -0.032012 -0.0028250133 0.19211711.1 0.0000 6.8939694752 0.0000 0.0439541 0.003878922 -0.058038311.2 0.0000 -8.054735388 0.0000 -0.039505 -0.0034862802 -0.0892657511.3 0.0000 6.2694204233 0.0000 0.0211762 0.0018687899 0.1963671511.4 0.0000 -2.342077431 0.0000 0.0036966 0.0003262216 -0.2272185111.5 0.0000 -2.202292847 0.0000 -0.02585 -0.0022812377 0.1750693311.6 0.0000 5.7036794042 0.0000 0.0375131 0.0033105078 -0.0632344211.7 0.0000 -6.968367796 0.0000 -0.035104 -0.0030979114 -0.0649339611.8 0.0000 5.669688507 0.0000 0.020275 0.0017892559 0.1626773111.9 0.0000 -2.416142286 0.0000 0.0009725 8.5825361E-05 -0.19674592

12 0.0000 -1.518776145 0.0000 -0.020679 -0.0018248657 0.158532112.1 0.0000 4.6894181655 0.0000 0.0318815 0.0028135205 -0.0657643812.2 0.0000 -6.004705726 0.0000 -0.031052 -0.0027403438 -0.0453129112.3 0.0000 5.0984475539 0.0000 0.0191635 0.0016911633 0.1339430512.4 0.0000 -2.419586526 0.0000 -0.001089 -9.606333E-05 -0.1696875812.5 0.0000 -0.974165152 0.0000 -0.01636 -0.00144378 0.1427332512.6 0.0000 3.8288301815 0.0000 0.0269773 0.0023807285 -0.0662430812.7 0.0000 -5.153691812 0.0000 -0.027349 -0.0024135435 -0.0296423612.8 0.0000 4.5608446109 0.0000 0.0179184 0.0015812837 0.1095389112.9 0.0000 -2.370066508 0.0000 -0.002609 -0.0002302173 -0.14576892

13 0.0000 -0.545311989 0.0000 -0.012774 -0.0011272843 0.1278275813.1 0.0000 3.1018636712 0.0000 0.0227235 0.0020053336 -0.0651752313.2 0.0000 -4.405368177 0.0000 -0.023987 -0.0021168227 -0.017267913.3 0.0000 4.060010163 0.0000 0.0166 0.0014649424 0.088903213.4 0.0000 -2.281946104 0.0000 -0.003691 -0.0003257324 -0.124716713.5 0.0000 -0.212387903 0.0000 -0.009813 -0.0008659772 0.11391181

Page 63: Hojas de Calculo Fransua

13.6 0.0000 2.4906240061 0.0000 0.0190484 0.0016810084 -0.0629720913.7 0.0000 -3.750065871 0.0000 -0.020952 -0.0018490184 -0.0076284413.8 0.0000 3.5974970188 0.0000 0.0152553 0.0013462669 0.0715341513.9 0.0000 -2.166814049 0.0000 -0.004422 -0.0003902531 -0.10626455

14 0.0000 0.0415230911 0.0000 -0.007384 -0.0006516291 0.1010370314.1 0.0000 1.9792174341 0.0000 0.0158858 0.0014019145 -0.0599661514.2 0.0000 -3.178540525 0.0000 -0.018228 -0.0016086371 -0.0002448814.3 0.0000 3.1736429778 0.0000 0.0139196 0.0012283986 0.0569855914.4 0.0000 -2.033931152 0.0000 -0.004874 -0.0004301716 -0.0901569914.5 0.0000 0.2307912743 0.0000 -0.005406 -0.0004770657 0.0892191114.6 0.0000 1.5535909558 0.0000 0.0131752 0.0011627052 -0.0564236914.7 0.0000 -2.682064812 0.0000 -0.015796 -0.0013939699 0.0052901914.8 0.0000 2.7878686056 0.0000 0.0126196 0.0011136727 0.0448626614.9 0.0000 -1.890615357 0.0000 -0.005108 -0.0004508052 -0.07615222

15 0.0000 0.3675709353 0.0000 -0.003808 -0.000336057 0.0784471915.1 0.0000 1.2013727671 0.0000 0.0108615 0.0009585178 -0.0525556915.2 0.0000 -2.252486547 0.0000 -0.013634 -0.0012031831 0.0093216715.3 0.0000 2.4389199976 0.0000 0.0113742 0.0010037707 0.034817415.4 0.0000 -1.742571955 0.0000 -0.005173 -0.0004565516 -0.0640238515.5 0.0000 0.4620950244 0.0000 -0.002529 -0.0002232149 0.0686905815.6 0.0000 0.9117165607 0.0000 0.0088947 0.0007849559 -0.0485271615.7 0.0000 -1.882259832 0.0000 -0.011721 -0.0010343891 0.0121402615.8 0.0000 2.1250651165 0.0000 0.0101966 0.0008998478 0.0265444715.9 0.0000 -1.594175625 0.0000 -0.005111 -0.0004510245 -0.05356192

16 0.0000 0.5229371981 0.0000 -0.001517 -0.0001338974 0.0599044616.1 0.0000 0.675152071 0.0000 0.0072303 0.0006380677 -0.0444651616.2 0.0000 -1.564455311 0.0000 -0.010036 -0.0008857009 0.0139897916.3 0.0000 1.84425113 0.0000 0.0090951 0.0008026407 0.0197770416.4 0.0000 -1.448710305 0.0000 -0.004954 -0.0004371735 -0.0445733316.5 0.0000 0.5572438016 0.0000 -0.000727 -6.412143E-05 0.0520343716.6 0.0000 0.4834435131 0.0000 0.005828 0.0005143192 -0.0404655516.7 0.0000 -1.292754589 0.0000 -0.008558 -0.0007552721 0.0150737316.8 0.0000 1.5942291548 0.0000 0.0080743 0.0007125564 0.0142828416.9 0.0000 -1.308572334 0.0000 -0.00473 -0.0004173866 -0.0368817

17 0.0000 0.5709383421 0.0000 -0.000119 -1.048324E-05 0.0450197717.1 0.0000 0.3294569809 0.0000 0.0046523 0.0004105653 -0.036598817.2 0.0000 -1.061432884 0.0000 -0.007267 -0.0006413269 0.0155609517.3 0.0000 1.3726519022 0.0000 0.007136 0.0006297462 0.0098605117.4 0.0000 -1.175441696 0.0000 -0.00446 -0.0003935802 -0.0303270417.5 0.0000 0.5689009559 0.0000 0.000339 2.9913893E-05 0.0387969217.6 0.0000 0.2070374124 0.0000 0.0036716 0.0003240202 -0.0329147917.7 0.0000 -0.865333264 0.0000 -0.006144 -0.0005421803 0.0155907817.8 0.0000 1.1771489274 0.0000 0.0062796 0.0005541669 0.0063361617.9 0.0000 -1.050425704 0.0000 -0.004162 -0.0003672761 -0.02476502

18 0.0000 0.5551252835 0.0000 0.0006745 5.9524513E-05 0.0333010318.1 0.0000 0.1108953668 0.0000 0.0028581 0.0002522268 -0.0294469918.2 0.0000 -0.699835116 0.0000 -0.00517 -0.0004562517 0.0152774218.3 0.0000 1.0053834845 0.0000 0.0055029 0.0004856306 0.00356023

Page 64: Hojas de Calculo Fransua

18.4 0.0000 -0.934178931 0.0000 -0.003849 -0.0003396677 -0.0200661918.5 0.0000 0.5328550466 0.0000 0.0009113 8.0419172E-05 0.0284679318.6 0.0000 0.0365035899 0.0000 0.0021873 0.0001930273 -0.0262157718.7 0.0000 -0.560818987 0.0000 -0.004329 -0.0003820727 0.0147137718.8 0.0000 0.8550943815 0.0000 0.0048028 0.0004238447 0.0014045818.9 0.0000 -0.827002788 0.0000 -0.003532 -0.000311677 -0.01611502

19 0.0000 0.5047024836 0.0000 0.001069 9.4336249E-05 0.0242352819.1 0.0000 -0.019996863 0.0000 0.0016378 0.0001445345 -0.0232313219.2 0.0000 -0.444629464 0.0000 -0.003607 -0.0003182907 0.0139748119.3 0.0000 0.7241257004 0.0000 0.004175 0.0003684449 -0.000240119.4 0.0000 -0.728927696 0.0000 -0.003218 -0.0002840028 -0.0128088519.5 0.0000 0.472750646 0.0000 0.0011641 0.0001027279 0.0205434719.6 0.0000 -0.061881325 0.0000 0.001191 0.0001051045 -0.0204959419.7 0.0000 -0.348037376 0.0000 -0.002988 -0.0002636688 0.0131204719.8 0.0000 0.6104467883 0.0000 0.003615 0.0003190206 -0.0014666819.9 0.0000 -0.639780474 0.0000 -0.002914 -0.0002571613 -0.01005695

20 0.0000 0.4386414069 0.0000 0.0012102 0.0001068007 0.01733619

Masa M 0.1621Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.1273

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 0.5 MAX Uivelocidad inicial Ůo 0.6 MAX U´iaceleracion inicial ϋ o 0.7 MAX U´´i

periodo de la estru T 0.8

CALCULOS INICIALES WnÜo 10.022697644 TnΔt 10.027173509 estabilidad^K 10.03 10.0 NO ESTABLEa 0.32 0.48b 0.32 0.4927

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.022697644 5.0000 5.1306669 0.4527782771 7.855565540.1 5.0000 147.08861321 3.6603 5.5312906 0.488133078 -7.148469520.2 8.6603 -290.0580037 1.3397 0.0443376 0.0039127687 -2.535936660.3 10.0000 239.33927046 -1.3397 -0.290862 -0.0256683843 1.94431360.4 8.6603 -200.4529984 -3.6603 -4.580494 -0.4042258511 -9.515462940.5 5.0000 10.143739673 -5.0000 -6.120349 -0.5401171304 6.797637350.6 0.0000 125.80900735 0.0000 0.3707383 0.0327174305 4.659053870.7 0.0000 -32.62792999 0.0000 0.1884505 0.0166306451 -4.980789580.8 0.0000 -66.98786152 0.0000 -0.648822 -0.0572581421 3.503013830.9 0.0000 137.04813812 0.0000 0.8512705 0.0751241086 -0.85536881

CASOS

ESPECIA

LES

D1558
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D1560
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C1561
estos son datos iniciales?
C1563
esta es igual a la aceleracion del sismo?
G1568
REVIZAR….
B1569
caso de aceleracion promedio
C1569
caso de aceleracion promedio
B1570
este es para el caso de aceleracion promedio
C1570
este es para el caso de aceleracion promedio
B1571
para el caso de aceleracion promedio
C1571
para el caso de aceleracion promedio
A1574
el tiempo lo vamos a variar
B1574
ESTE ES EL DATO QUE VA A VARIAR
D1574
este dato no es igual al de la segunda columna?
C1575
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 65: Hojas de Calculo Fransua

1 0.0000 -154.1555144 0.0000 -0.737879 -0.0651173516 -1.949460391.1 0.0000 115.16630658 0.0000 0.3669467 0.0323828275 3.899463971.2 0.0000 -37.17702709 0.0000 0.1143885 0.0100947138 -4.345226251.3 0.0000 -49.72749792 0.0000 -0.527769 -0.0465753221 3.211825531.4 0.0000 113.96400859 0.0000 0.7291631 0.0643482094 -0.99335491.5 0.0000 -133.8311067 0.0000 -0.658449 -0.0581077252 -1.455763791.6 0.0000 104.71583094 0.0000 0.3562058 0.0314349522 3.246617331.7 0.0000 -39.78348428 0.0000 0.0564579 0.0049823768 -3.775668841.8 0.0000 -35.72989252 0.0000 -0.425745 -0.0375717288 2.924586731.9 0.0000 94.221627086 0.0000 0.6220123 0.054892213 -1.07530789

2 0.0000 -115.7277849 0.0000 -0.584783 -0.0516067867 -1.05467212.1 0.0000 94.634342909 0.0000 0.3404917 0.030048187 2.687771572.2 0.0000 -40.87891141 0.0000 0.0118561 0.0010462973 -3.267809372.3 0.0000 -24.47727594 0.0000 -0.340168 -0.0300196326 2.646490772.4 0.0000 77.407091328 0.0000 0.5283701 0.0466283455 -1.113531212.5 0.0000 -99.67771546 0.0000 -0.517021 -0.0456268022 -0.731571752.6 0.0000 85.046280505 0.0000 0.3213912 0.0283625833 2.211359462.7 0.0000 -40.81909136 0.0000 -0.021803 -0.001924091 -2.817092942.8 0.0000 -15.52276749 0.0000 -0.268752 -0.023717225 2.381230262.9 0.0000 63.147372754 0.0000 0.4468613 0.0394352435 -1.11818089

3 0.0000 -85.51099062 0.0000 -0.455139 -0.0401657407 -0.473838793.1 0.0000 76.034214809 0.0000 0.3001659 0.0264894646 1.80694293.2 0.0000 -39.89535687 0.0000 -0.046542 -0.004107282 -2.418877833.3 0.0000 -8.482199732 0.0000 -0.20948 -0.0184864562 2.131294353.4 0.0000 51.108086666 0.0000 0.3761947 0.0331989576 -1.097586073.5 0.0000 -73.05980807 0.0000 -0.398993 -0.0352109075 -0.270611233.6 0.0000 67.647583419 0.0000 0.2778063 0.0245162427 1.465154243.7 0.0000 -38.34449872 0.0000 -0.064067 -0.0056539057 -2.06855723.8 0.0000 -3.026645342 0.0000 -0.160578 -0.0141709039 1.898217243.9 0.0000 40.990990137 0.0000 0.3151698 0.0278135451 -1.05852826

4 0.0000 -62.16155535 0.0000 -0.348352 -0.0307418947 -0.112580534.1 0.0000 59.909944666 0.0000 0.2550787 0.0225105383 1.177629194.2 0.0000 -36.3573608 0.0000 -0.075813 -0.0066904808 -1.761649574.3 0.0000 1.1243693115 0.0000 -0.120496 -0.0106337115 1.682784964.4 0.0000 32.531329884 0.0000 0.2626799 0.0231813403 -1.006483924.5 0.0000 -52.66100837 0.0000 -0.302925 -0.0267329574 0.008197974.6 0.0000 52.824967781 0.0000 0.2325647 0.0205236944 0.936935064.7 0.0000 -34.0862665 0.0000 -0.082978 -0.0073227437 -1.493863824.8 0.0000 4.2089900126 0.0000 -0.087883 -0.0077556226 1.485206254.9 0.0000 25.495134892 0.0000 0.2177123 0.0192129801 -0.94583419

5 0.0000 -44.41181871 0.0000 -0.26238 -0.0231549078 0.098476435.1 0.0000 46.381347394 0.0000 0.2106956 0.0185937572 0.736496875.2 0.0000 -31.65141009 0.0000 -0.086557 -0.0076385898 -1.261143815.3 0.0000 6.4285339824 0.0000 -0.061566 -0.0054331302 1.3052535.4 0.0000 19.676525959 0.0000 0.1793468 0.0158272432 -0.880045535.5 0.0000 -37.27743653 0.0000 -0.226365 -0.0199766081 0.16396855.6 0.0000 40.556806592 0.0000 0.1897803 0.0167479956 0.570523575.7 0.0000 -29.14633518 0.0000 -0.087374 -0.0077106601 -1.05969669

Page 66: Hojas de Calculo Fransua

5.8 0.0000 7.9524014781 0.0000 -0.04053 -0.0035767511 1.142374875.9 0.0000 14.895095834 0.0000 0.1467518 0.0129507551 -0.81182474

6 0.0000 -31.13159067 0.0000 -0.194518 -0.0171661307 0.209487036.1 0.0000 35.321331189 0.0000 0.1700297 0.0150050195 0.433935986.2 0.0000 -26.64261162 0.0000 -0.086104 -0.0075986069 -0.886008516.3 0.0000 8.9224414998 0.0000 -0.023903 -0.0021094318 0.995792016.4 0.0000 10.993398653 0.0000 0.1191804 0.0105175978 -0.743251426.5 0.0000 -25.85842696 0.0000 -0.166479 -0.0146916439 0.239066586.6 0.0000 30.63975858 0.0000 0.1515767 0.0133765533 0.322297366.7 0.0000 -24.19381133 0.0000 -0.083299 -0.0073510702 -0.736849836.8 0.0000 9.4568146569 0.0000 -0.010936 -0.0009650871 0.86456956.9 0.0000 7.834575272 0.0000 0.095965 0.0084688573 -0.67589061

7 0.0000 -21.35238744 0.0000 -0.141894 -0.012522073 0.2560727.1 0.0000 26.473827478 0.0000 0.1344928 0.0118689122 0.23174777.2 0.0000 -21.83887343 0.0000 -0.079404 -0.0070073956 -0.609273867.3 0.0000 9.6533962634 0.0000 -0.000989 -8.726909E-05 0.747676397.4 0.0000 5.3001315273 0.0000 0.0765119 0.0067521335 -0.610888347.5 0.0000 -17.5178983 0.0000 -0.120427 -0.0106275798 0.263294077.6 0.0000 22.783779745 0.0000 0.1188022 0.010484224 0.1589427.7 0.0000 -19.60493966 0.0000 -0.074778 -0.0065991204 -0.500608897.8 0.0000 9.5927618186 0.0000 0.006482 0.0005720367 0.644032037.9 0.0000 3.2878788546 0.0000 0.0602954 0.0053210329 -0.54905211

8 0.0000 -14.26892103 0.0000 -0.101756 -0.0089798944 0.263033568.1 0.0000 19.529592292 0.0000 0.1044929 0.009221435 0.100993028.2 0.0000 -17.50973181 0.0000 -0.069703 -0.0061512547 -0.408446828.3 0.0000 9.3407954386 0.0000 0.0119377 0.0010534951 0.552541818.4 0.0000 1.7100408543 0.0000 0.046852 0.0041346601 -0.490918518.5 0.0000 -11.52841113 0.0000 -0.085582 -0.0075525299 0.257174718.6 0.0000 16.671905395 0.0000 0.0915262 0.0080771312 0.055418518.7 0.0000 -15.56353522 0.0000 -0.064401 -0.0056833821 -0.330628778.8 0.0000 8.950959737 0.0000 0.0157666 0.0013913908 0.472124238.9 0.0000 0.4915249069 0.0000 0.0357749 0.0031571174 -0.4368097

9 0.0000 -9.227718901 0.0000 -0.071625 -0.0063209057 0.247249249.1 0.0000 14.172703653 0.0000 0.0798442 0.0070462045 0.020092969.2 0.0000 -13.77084436 0.0000 -0.059044 -0.0052106 -0.265229059.3 0.0000 8.4662632778 0.0000 0.0182947 0.001614492 0.401730899.4 0.0000 -0.431645383 0.0000 0.0267087 0.0023570233 -0.386880279.5 0.0000 -7.305959996 0.0000 -0.059631 -0.0052623975 0.234491859.6 0.0000 11.995797035 0.0000 0.069376 0.0061223878 -0.006796149.7 0.0000 -12.13171992 0.0000 -0.05376 -0.0047443213 -0.210538049.8 0.0000 7.9209591661 0.0000 0.0197941 0.0017468159 0.340360789.9 0.0000 -1.113743541 0.0000 0.0193435 0.0017070542 -0.3411560210 0.0000 -5.709376788 0.0000 -0.049364 -0.004356334 0.21988825

10.1 0.0000 10.107141852 0.0000 0.0600421 0.0052986815 -0.0267879410.2 0.0000 -10.64290071 0.0000 -0.048646 -0.0042929531 -0.1650447510.3 0.0000 7.342005705 0.0000 0.0204908 0.0018083045 0.287069910.4 0.0000 -1.600607653 0.0000 0.013411 0.001183514 -0.2995657110.5 0.0000 -4.390706609 0.0000 -0.040612 -0.0035839509 0.20421642

Page 67: Hojas de Calculo Fransua

10.6 0.0000 8.4750349181 0.0000 0.0517588 0.0045676875 -0.0411836510.7 0.0000 -9.298707877 0.0000 -0.043768 -0.0038624711 -0.1274195210.8 0.0000 6.7503174038 0.0000 0.0205715 0.0018154181 0.2409773110.9 0.0000 -1.930771225 0.0000 0.0086792 0.0007659336 -0.261967

11 0.0000 -3.30856876 0.0000 -0.033182 -0.0029283168 0.1880819911.1 0.0000 7.0702085783 0.0000 0.0444407 0.0039218687 -0.0510782811.2 0.0000 -8.091774193 0.0000 -0.039172 -0.0034569007 -0.0964971111.3 0.0000 6.1618320364 0.0000 0.0201889 0.0017816555 0.2012682311.4 0.0000 -2.136467406 0.0000 0.0049485 0.0004367016 -0.2281673111.5 0.0000 -2.426878767 0.0000 -0.026904 -0.0023742372 0.1719485311.6 0.0000 5.8658494257 0.0000 0.0380031 0.0033537466 -0.0573888611.7 0.0000 -7.013626577 0.0000 -0.034887 -0.0030787203 -0.0712604811.8 0.0000 5.588416958 0.0000 0.0194676 0.0017180062 0.1671950111.9 0.0000 -2.244516739 0.0000 0.0020479 0.0001807257 -0.19794062

12 0.0000 -1.714295659 0.0000 -0.021622 -0.0019081457 0.1561631912.1 0.0000 4.8375594792 0.0000 0.0323634 0.002856047 -0.0608793412.2 0.0000 -6.055146187 0.0000 -0.030926 -0.0027291964 -0.0508255312.3 0.0000 5.0386355204 0.0000 0.0185083 0.0016333443 0.1380763512.4 0.0000 -2.277108581 0.0000 -0.000169 -1.487449E-05 -0.1710407212.5 0.0000 -1.143705875 0.0000 -0.017201 -0.0015179876 0.1409784612.6 0.0000 3.9632750965 0.0000 0.0274427 0.002421806 -0.0621825912.7 0.0000 -5.206926898 0.0000 -0.027294 -0.0024086603 -0.0344267312.8 0.0000 4.5183922098 0.0000 0.0173913 0.0015347684 0.1132953112.9 0.0000 -2.252486051 0.0000 -0.001825 -0.0001610456 -0.14721159

13 0.0000 -0.691745723 0.0000 -0.01352 -0.0011930994 0.1265705113.1 0.0000 3.2231559812 0.0000 0.0231666 0.0020444413 -0.061819713.2 0.0000 -4.45954997 0.0000 -0.023986 -0.002116736 -0.0214038513.3 0.0000 4.0314730626 0.0000 0.0161802 0.0014278944 0.0922964513.4 0.0000 -2.185543984 0.0000 -0.003026 -0.0002670503 -0.1261953513.5 0.0000 -0.338362984 0.0000 -0.010471 -0.0009240897 0.1130545613.6 0.0000 2.5994541831 0.0000 0.0194653 0.0017177987 -0.0602167913.7 0.0000 -3.803790019 0.0000 -0.020992 -0.0018525259 -0.011189713.8 0.0000 3.5799960162 0.0000 0.0149248 0.001317107 0.0745823613.9 0.0000 -2.08834885 0.0000 -0.003861 -0.0003406904 -0.10773831

14 0.0000 -0.066417287 0.0000 -0.007963 -0.0007027216 0.1004976814.1 0.0000 2.0763709351 0.0000 0.0162741 0.001436177 -0.0577197114.2 0.0000 -3.230765118 0.0000 -0.018298 -0.0016147609 -0.0032990514.3 0.0000 3.1647841096 0.0000 0.0136633 0.0012057742 0.0597097514.4 0.0000 -1.970589047 0.0000 -0.004402 -0.000388506 -0.0915953614.5 0.0000 0.1386818939 0.0000 -0.005913 -0.0005218005 0.0889294714.6 0.0000 1.6399074623 0.0000 0.0135337 0.001194337 -0.0546067214.7 0.0000 -2.732041817 0.0000 -0.015886 -0.0014019213 0.0026815514.8 0.0000 2.7856728682 0.0000 0.0124242 0.0010964302 0.0472854814.9 0.0000 -1.83996334 0.0000 -0.004713 -0.0004159513 -0.0775331

15 0.0000 0.289301245 0.0000 -0.00425 -0.0003750672 0.0783507915.1 0.0000 1.2777144907 0.0000 0.0111899 0.0009874981 -0.0510994815.2 0.0000 -2.299704136 0.0000 -0.013738 -0.0012123319 0.0071028815.3 0.0000 2.4417617771 0.0000 0.0112287 0.0009909301 0.03696236

Page 68: Hojas de Calculo Fransua

15.4 0.0000 -1.702514622 0.0000 -0.004845 -0.0004275494 -0.0653319515.5 0.0000 0.3958756669 0.0000 -0.002913 -0.0002570976 0.0687409815.6 0.0000 0.9789440209 0.0000 0.0091936 0.0008113264 -0.047372515.7 0.0000 -1.926394094 0.0000 -0.011833 -0.0010442378 0.0102612215.8 0.0000 2.1316184672 0.0000 0.0100916 0.0008905805 0.0284351515.9 0.0000 -1.562915529 0.0000 -0.004839 -0.0004270295 -0.05478735

16 0.0000 0.4671685924 0.0000 -0.001849 -0.0001632104 0.0600637316.1 0.0000 0.7341059913 0.0000 0.0075005 0.0006619159 -0.043561216.2 0.0000 -1.605330052 0.0000 -0.010151 -0.0008958617 0.0124056516.3 0.0000 1.8534430888 0.0000 0.0090227 0.000796249 0.0214365616.4 0.0000 -1.424711854 0.0000 -0.00473 -0.0004174452 -0.0457104516.5 0.0000 0.5105029392 0.0000 -0.001013 -8.938092E-05 0.0522717316.6 0.0000 0.534931688 0.0000 0.006071 0.0005357648 -0.0397688216.7 0.0000 -1.330308036 0.0000 -0.008674 -0.0007654479 0.0137445616.8 0.0000 1.6051993288 0.0000 0.0080279 0.0007084559 0.0157335116.9 0.0000 -1.290529111 0.0000 -0.004547 -0.0004012786 -0.0379282

17 0.0000 0.5319650962 0.0000 -0.000364 -3.216299E-05 0.0453105117.1 0.0000 0.3742451498 0.0000 0.0048697 0.0004297498 -0.0360722617.2 0.0000 -1.095690289 0.0000 -0.00738 -0.0006512947 0.0144513717.3 0.0000 1.3847176257 0.0000 0.00711 0.00062745 0.0111235317.4 0.0000 -1.162247053 0.0000 -0.004312 -0.0003805304 -0.0312831417.5 0.0000 0.5365843206 0.0000 0.000129 1.1381939E-05 0.0391213817.6 0.0000 0.2458433299 0.0000 0.0038652 0.0003410981 -0.0325270617.7 0.0000 -0.89638451 0.0000 -0.006252 -0.0005517778 0.0146695417.8 0.0000 1.1897753397 0.0000 0.0062694 0.0005532716 0.0074314517.9 0.0000 -1.041146434 0.0000 -0.004043 -0.0003567976 -0.02563283

18 0.0000 0.5284898573 0.0000 0.0004957 4.3749086E-05 0.0336437618.1 0.0000 0.144385395 0.0000 0.0030296 0.0002673593 -0.0291715618.2 0.0000 -0.727816557 0.0000 -0.005273 -0.0004653651 0.0145170718.3 0.0000 1.018157938 0.0000 0.0055049 0.0004858036 0.0045063118.4 0.0000 -0.928031818 0.0000 -0.003755 -0.0003313407 -0.0208491918.5 0.0000 0.5110479892 0.0000 0.0007598 6.7047881E-05 0.0288169618.6 0.0000 0.0652912534 0.0000 0.0023386 0.000206377 -0.0260303818.7 0.0000 -0.585898843 0.0000 -0.004426 -0.0003906275 0.0140902918.8 0.0000 0.8677046433 0.0000 0.0048138 0.0004248141 0.0022185418.9 0.0000 -0.823333811 0.0000 -0.003458 -0.0003051405 -0.01681764

19 0.0000 0.4869811084 0.0000 0.0009411 8.305341E-05 0.0245815119.1 0.0000 0.0046491776 0.0000 0.0017707 0.0001562616 -0.0231173519.2 0.0000 -0.466996197 0.0000 -0.003697 -0.0003262428 0.0134672619.3 0.0000 0.7363414643 0.0000 0.0041925 0.0003699898 0.0004573919.4 0.0000 -0.727193679 0.0000 -0.003161 -0.000278948 -0.0134361519.5 0.0000 0.4584707561 0.0000 0.0010567 9.3252137E-05 0.0208801519.6 0.0000 -0.040867771 0.0000 0.0013072 0.0001153638 -0.0204379219.7 0.0000 -0.367890552 0.0000 -0.003071 -0.0002709982 0.0127106819.8 0.0000 0.6221040648 0.0000 0.003637 0.0003209633 -0.0008714419.9 0.0000 -0.639532949 0.0000 -0.002871 -0.0002533252 -0.01061433

20 0.0000 0.4272464387 0.0000 0.0011205 9.8882355E-05 0.01765848

Page 69: Hojas de Calculo Fransua

Masa M 0.2052Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.1432

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 0.6 MAX Uivelocidad inicial Ůo 0.7 MAX U´iaceleracion inicial ϋ o 0.8 MAX U´´i

periodo de la estru T 0.9

CALCULOS INICIALES WnÜo 10.027173509 TnΔt 10.031845239 estabilidad^K 10.04 10.1 NO ESTABLEa 0.37 0.55b 0.41 0.6227

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.027173509 5.0000 5.1440048 0.4539553381 7.679106760.1 5.0000 143.55496174 3.6603 5.5032082 0.4856548283 -7.045116960.2 8.6603 -284.4573009 1.3397 0.0762921 0.0067327304 -2.5333250.3 10.0000 233.79080091 -1.3397 -0.315042 -0.027802269 1.842625010.4 8.6603 -196.9383007 -3.6603 -4.5723 -0.4035027069 -9.356633770.5 5.0000 9.8056253189 -5.0000 -6.110525 -0.5392501507 6.641684890.6 0.0000 123.02807251 0.0000 0.3474216 0.0306597473 4.756513070.7 0.0000 -27.89781115 0.0000 0.2161622 0.0190761829 -4.988184360.8 0.0000 -71.86587597 0.0000 -0.67077 -0.0591950699 3.42275930.9 0.0000 140.32106197 0.0000 0.8599292 0.0758882366 -0.72109317

1 0.0000 -154.7429254 0.0000 -0.730898 -0.0645012701 -2.086696961.1 0.0000 113.00898615 0.0000 0.3477013 0.0306844272 3.990410911.2 0.0000 -33.20076798 0.0000 0.1383259 0.0122071748 -4.359955961.3 0.0000 -53.99835114 0.0000 -0.547574 -0.0483230356 3.149351751.4 0.0000 116.98538612 0.0000 0.7379832 0.0651265778 -0.880359481.5 0.0000 -134.5925757 0.0000 -0.653747 -0.0576928153 -1.576028381.6 0.0000 103.07200811 0.0000 0.3404239 0.0300422012 3.330728711.7 0.0000 -36.4574339 0.0000 0.0770532 0.0067998993 -3.795574751.8 0.0000 -39.45406103 0.0000 -0.443517 -0.0391401011 2.876774741.9 0.0000 96.989555783 0.0000 0.6307633 0.0556644865 -0.98068299

2 0.0000 -116.6032155 0.0000 -0.58189 -0.0513514748 -1.159636242.1 0.0000 93.410490732 0.0000 0.3276434 0.0289143361 2.764952462.2 0.0000 -38.11144155 0.0000 0.029505 0.0026037951 -3.291163282.3 0.0000 -27.71182401 0.0000 -0.356036 -0.0314199195 2.610688992.4 0.0000 79.925603715 0.0000 0.536881 0.0473794254 -1.034702092.5 0.0000 -100.6196455 0.0000 -0.515545 -0.045496516 -0.822816742.6 0.0000 84.163310618 0.0000 0.3110168 0.0274470457 2.281687982.7 0.0000 -38.52955107 0.0000 -0.006741 -0.000594871 -2.84252631

CASOS

ESPECIA

LES

D1780
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D1782
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C1783
estos son datos iniciales?
C1785
esta es igual a la aceleracion del sismo?
G1790
REVIZAR….
B1791
caso de aceleracion promedio
C1791
caso de aceleracion promedio
B1792
este es para el caso de aceleracion promedio
C1792
este es para el caso de aceleracion promedio
B1793
para el caso de aceleracion promedio
C1793
para el caso de aceleracion promedio
A1796
el tiempo lo vamos a variar
B1796
ESTE ES EL DATO QUE VA A VARIAR
D1796
este dato no es igual al de la segunda columna?
C1797
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 70: Hojas de Calculo Fransua

2.8 0.0000 -18.32097514 0.0000 -0.282852 -0.0249614757 2.355194222.9 0.0000 65.424859446 0.0000 0.4550091 0.0401542782 -1.05287914

3 0.0000 -86.48244218 0.0000 -0.454755 -0.0401318958 -0.552844343.1 0.0000 75.425555323 0.0000 0.2918676 0.0257571428 1.870625113.2 0.0000 -38.01305302 0.0000 -0.033741 -0.0029776479 -2.445320933.3 0.0000 -10.89336558 0.0000 -0.221951 -0.0195870546 2.11313283.4 0.0000 53.156021536 0.0000 0.3838951 0.0338785101 -1.04382153.5 0.0000 -74.0324516 0.0000 -0.399436 -0.0352500193 -0.338749093.6 0.0000 67.257469896 0.0000 0.2712416 0.0239369058 1.522487593.7 0.0000 -36.80771815 0.0000 -0.053236 -0.0046980719 -2.095187143.8 0.0000 -5.096024684 0.0000 -0.171562 -0.0151402178 1.886344223.9 0.0000 42.822909147 0.0000 0.3223693 0.0284488956 -1.01456195

4 0.0000 -63.11414824 0.0000 -0.349405 -0.030834804 -0.171112044.1 0.0000 59.691907469 0.0000 0.2499536 0.0220582514 1.228973154.2 0.0000 -35.11244453 0.0000 -0.06669 -0.005885393 -1.787846044.3 0.0000 -0.64447618 0.0000 -0.130129 -0.0114838305 1.675877294.4 0.0000 34.162021902 0.0000 0.2693492 0.0237699059 -0.970802564.5 0.0000 -53.57807305 0.0000 -0.304412 -0.0268641569 -0.04187874.6 0.0000 52.740499057 0.0000 0.2286282 0.0201762982 0.98268784.7 0.0000 -33.08674303 0.0000 -0.075331 -0.0066478901 -1.519171574.8 0.0000 2.7033116853 0.0000 -0.096297 -0.0084981676 1.482166024.9 0.0000 26.940008689 0.0000 0.223841 0.0197538337 -0.91712599

5 0.0000 -45.28252854 0.0000 -0.26416 -0.023311959 0.055810145.1 0.0000 46.398731297 0.0000 0.207734 0.0183323974 0.777076995.2 0.0000 -30.85719149 0.0000 -0.08018 -0.0070758041 -1.285241025.3 0.0000 5.1523710584 0.0000 -0.068886 -0.0060791206 1.305174695.4 0.0000 20.951122782 0.0000 0.1849386 0.0163207179 -0.857177925.5 0.0000 -38.09468122 0.0000 -0.228326 -0.0201496388 0.127770795.6 0.0000 40.650096952 0.0000 0.1876126 0.016556699 0.606355975.7 0.0000 -28.52297756 0.0000 -0.082085 -0.0072439239 -1.082368435.8 0.0000 6.8756090304 0.0000 -0.046873 -0.0041365189 1.144516535.9 0.0000 16.014721506 0.0000 0.1518211 0.0133981205 -0.79382374

6 0.0000 -31.89119631 0.0000 -0.196572 -0.0173474033 0.178913276.1 0.0000 35.469461619 0.0000 0.1685033 0.0148703146 0.465441096.2 0.0000 -26.16063979 0.0000 -0.081744 -0.0072138552 -0.907124496.3 0.0000 8.0181500773 0.0000 -0.029378 -0.0025925715 0.999550166.4 0.0000 11.972853109 0.0000 0.1237493 0.0109207976 -0.729282786.5 0.0000 -26.55850869 0.0000 -0.168558 -0.0148751858 0.213363116.6 0.0000 30.825770934 0.0000 0.1505634 0.0132871323 0.349883256.7 0.0000 -23.82810597 0.0000 -0.079729 -0.007036004 -0.756345976.8 0.0000 8.7011864836 0.0000 -0.015642 -0.0013804343 0.869457376.9 0.0000 8.6879608923 0.0000 0.1000607 0.0088302981 -0.66524272

7 0.0000 -21.99281532 0.0000 -0.143948 -0.0127033624 0.234569517.1 0.0000 26.684205553 0.0000 0.1338857 0.0118153312 0.255804367.2 0.0000 -21.56811837 0.0000 -0.076503 -0.0067513034 -0.627137057.3 0.0000 9.025377369 0.0000 -0.005019 -0.0004429009 0.75330517.4 0.0000 6.0407246133 0.0000 0.080165 0.0070745168 -0.602956747.5 0.0000 -18.09985949 0.0000 -0.122418 -0.0108032786 0.24540083

Page 71: Hojas de Calculo Fransua

7.6 0.0000 23.007876162 0.0000 0.1185123 0.0104586385 0.179837517.7 0.0000 -19.41112599 0.0000 -0.072439 -0.0063927099 -0.516864487.8 0.0000 9.073836459 0.0000 0.0030457 0.0002687853 0.650094387.9 0.0000 3.9280511587 0.0000 0.0635384 0.0056072233 -0.54332562

8 0.0000 -14.79456358 0.0000 -0.103656 -0.009147623 0.24822878.1 0.0000 19.759137491 0.0000 0.1044468 0.0092173672 0.119071118.2 0.0000 -17.37771535 0.0000 -0.067836 -0.0059864971 -0.423148398.3 0.0000 8.914747519 0.0000 0.0090199 0.0007960029 0.558798398.4 0.0000 2.261220289 0.0000 0.049718 0.004387582 -0.486966818.5 0.0000 -12.00055645 0.0000 -0.087374 -0.0077106778 0.245001618.6 0.0000 16.900588704 0.0000 0.0916637 0.0080892662 0.070997278.7 0.0000 -15.48064336 0.0000 -0.062928 -0.0055533672 -0.343849948.8 0.0000 8.6036446172 0.0000 0.0133 0.0011737136 0.478391558.9 0.0000 0.9641864416 0.0000 0.0382969 0.0033796774 -0.43427228

9 0.0000 -9.649631962 0.0000 -0.073298 -0.0064684729 0.237309279.1 0.0000 14.395817362 0.0000 0.0801163 0.0070702131 0.033464459.2 0.0000 -13.72652837 0.0000 -0.057897 -0.0051094047 -0.277056819.3 0.0000 8.1853922657 0.0000 0.016219 0.0014313206 0.407871319.4 0.0000 -0.027966021 0.0000 0.0289186 0.002552052 -0.385456689.5 0.0000 -7.681167669 0.0000 -0.061177 -0.0053988631 0.226438389.6 0.0000 12.209935313 0.0000 0.0697429 0.006154772 0.004634329.7 0.0000 -12.11724891 0.0000 -0.052883 -0.0046668889 -0.221067549.8 0.0000 7.6958981555 0.0000 0.018056 0.0015934312 0.346273949.9 0.0000 -0.770419379 0.0000 0.0212723 0.0018772643 -0.3405972810 0.0000 -6.041526138 0.0000 -0.050783 -0.0044815467 0.21342105

10.1 0.0000 10.309947222 0.0000 0.0604723 0.0053366411 -0.017057310.2 0.0000 -10.65109317 0.0000 -0.047989 -0.0042349849 -0.1743752210.3 0.0000 7.1635887412 0.0000 0.019043 0.0016805307 0.2926855310.4 0.0000 -1.309878077 0.0000 0.0150876 0.0013314717 -0.2996667110.5 0.0000 -4.683456194 0.0000 -0.041904 -0.0036980399 0.1990764810.6 0.0000 8.6649858142 0.0000 0.052227 0.0046090053 -0.0329355810.7 0.0000 -9.323697356 0.0000 -0.04329 -0.0038203284 -0.135651110.8 0.0000 6.6106754438 0.0000 0.0193721 0.0017095765 0.2462491910.9 0.0000 -1.685691569 0.0000 0.0101308 0.0008940399 -0.26255993

11 0.0000 -3.565506964 0.0000 -0.034353 -0.0030316182 0.1840467611.1 0.0000 7.2464422368 0.0000 0.0449274 0.003964812 -0.0441181611.2 0.0000 -8.128805425 0.0000 -0.038839 -0.0034275176 -0.1037284311.3 0.0000 6.0542367768 0.0000 0.0192015 0.0016945186 0.2061691611.4 0.0000 -1.930853627 0.0000 0.0062004 0.000547182 -0.2291158911.5 0.0000 -2.651464156 0.0000 -0.027958 -0.0024672352 0.1688275511.6 0.0000 6.02801506 0.0000 0.038493 0.0033969825 -0.0515431911.7 0.0000 -7.058878902 0.0000 -0.034669 -0.0030595261 -0.0775869811.8 0.0000 5.5071393086 0.0000 0.0186602 0.0016467542 0.1717125811.9 0.0000 -2.072887609 0.0000 0.0031233 0.0002756267 -0.19913514

12 0.0000 -1.909815098 0.0000 -0.022566 -0.0019914246 0.1537941112.1 0.0000 4.9856972922 0.0000 0.0328452 0.0028985712 -0.0559941912.2 0.0000 -6.105581166 0.0000 -0.0308 -0.0027180462 -0.0563381512.3 0.0000 4.9788180964 0.0000 0.0178531 0.0015755232 0.14220954

Page 72: Hojas de Calculo Fransua

12.4 0.0000 -2.134627259 0.0000 0.0007515 6.6315021E-05 -0.1723937112.5 0.0000 -1.313246867 0.0000 -0.018042 -0.0015921943 0.1392235212.6 0.0000 4.0977172499 0.0000 0.0279082 0.0024628814 -0.0581220112.7 0.0000 -5.260157351 0.0000 -0.027238 -0.0024037746 -0.0392111112.8 0.0000 4.4759350659 0.0000 0.0168642 0.0014882512 0.1170516312.9 0.0000 -2.134902445 0.0000 -0.001041 -9.187326E-05 -0.14865412

13 0.0000 -0.838179977 0.0000 -0.014265 -0.0012589139 0.1253133113.1 0.0000 3.3444461426 0.0000 0.0236098 0.0020835472 -0.0584640913.2 0.0000 -4.513727865 0.0000 -0.023985 -0.0021166472 -0.025539813.3 0.0000 4.0029318065 0.0000 0.0157604 0.0013908448 0.0956896413.4 0.0000 -2.089138952 0.0000 -0.002361 -0.0002083674 -0.1276738913.5 0.0000 -0.464338762 0.0000 -0.01113 -0.0009822018 0.112197213.6 0.0000 2.7082827171 0.0000 0.0198821 0.0017545876 -0.0574614113.7 0.0000 -3.857510903 0.0000 -0.021032 -0.0018560316 -0.0147509813.8 0.0000 3.5624913871 0.0000 0.0145944 0.0012879456 0.0776305213.9 0.0000 -2.009880979 0.0000 -0.003299 -0.000291127 -0.10921197

14 0.0000 -0.174358479 0.0000 -0.008542 -0.0007538139 0.0999582414.1 0.0000 2.1735232071 0.0000 0.0166623 0.0014704385 -0.0554731914.2 0.0000 -3.282986993 0.0000 -0.018367 -0.0016208832 -0.0063532514.3 0.0000 3.1559220895 0.0000 0.0134069 0.0011831485 0.0624338814.4 0.0000 -1.907244507 0.0000 -0.00393 -0.0003468398 -0.0930336414.5 0.0000 0.0465716283 0.0000 -0.00642 -0.0005665352 0.0886397414.6 0.0000 1.7262230762 0.0000 0.0138921 0.0012259678 -0.0527896714.7 0.0000 -2.782016572 0.0000 -0.015976 -0.0014098713 7.28915E-0514.8 0.0000 2.7834744021 0.0000 0.0122288 0.0010791864 0.0497082614.9 0.0000 -1.78930912 0.0000 -0.004318 -0.0003810966 -0.07891392

15 0.0000 0.2110306355 0.0000 -0.004692 -0.0004140772 0.0782543115.1 0.0000 1.3540555928 0.0000 0.0115182 0.0010164777 -0.0496432115.2 0.0000 -2.346919871 0.0000 -0.013841 -0.0012214797 0.0048840715.3 0.0000 2.4446012035 0.0000 0.0110832 0.0009780884 0.0391072915.4 0.0000 -1.662455306 0.0000 -0.004516 -0.0003985467 -0.0666415.5 0.0000 0.3296553847 0.0000 -0.003297 -0.0002909803 0.0687913215.6 0.0000 1.0461710761 0.0000 0.0094924 0.0008376964 -0.0462177915.7 0.0000 -1.970526841 0.0000 -0.011944 -0.0010540856 0.0083821515.8 0.0000 2.138169797 0.0000 0.0099866 0.0008813121 0.0303258115.9 0.0000 -1.531653657 0.0000 -0.004567 -0.000403034 -0.05601273

16 0.0000 0.4113990778 0.0000 -0.002182 -0.0001925235 0.0602229416.1 0.0000 0.7930596775 0.0000 0.0077707 0.0006857636 -0.0426571916.2 0.0000 -1.646203564 0.0000 -0.010267 -0.0009060217 0.0108214916.3 0.0000 1.8626333189 0.0000 0.0089503 0.0007898564 0.0230960716.4 0.0000 -1.40071182 0.0000 -0.004507 -0.0003977164 -0.0468475316.5 0.0000 0.4637611992 0.0000 -0.001299 -0.0001146405 0.0525090516.6 0.0000 0.5864197618 0.0000 0.006314 0.00055721 -0.0390720416.7 0.0000 -1.367860494 0.0000 -0.008789 -0.0007756229 0.0124153816.8 0.0000 1.6161680301 0.0000 0.0079814 0.0007043548 0.0171841816.9 0.0000 -1.272484485 0.0000 -0.004365 -0.00038517 -0.03897467

17 0.0000 0.4929910151 0.0000 -0.00061 -5.384289E-05 0.0456012217.1 0.0000 0.4190333194 0.0000 0.0050871 0.000448934 -0.03554568

Page 73: Hojas de Calculo Fransua

17.2 0.0000 -1.129946907 0.0000 -0.007493 -0.000661262 0.0133417617.3 0.0000 1.3967820999 0.0000 0.0070839 0.0006251533 0.0123865517.4 0.0000 -1.149051172 0.0000 -0.004164 -0.0003674801 -0.0322392117.5 0.0000 0.5042668999 0.0000 -8.102E-05 -7.150177E-06 0.0394458117.6 0.0000 0.2846493242 0.0000 0.0040587 0.0003581759 -0.0321392917.7 0.0000 -0.927435137 0.0000 -0.006361 -0.0005613748 0.0137482817.8 0.0000 1.2024006971 0.0000 0.0062593 0.0005523757 0.0085267317.9 0.0000 -1.031866075 0.0000 -0.003924 -0.0003463187 -0.02650062

18 0.0000 0.5018536998 0.0000 0.000317 2.7973487E-05 0.0339864618.1 0.0000 0.1778755555 0.0000 0.0032011 0.0002824917 -0.028896118.2 0.0000 -0.755797517 0.0000 -0.005377 -0.0004744782 0.013756718.3 0.0000 1.0309315048 0.0000 0.0055068 0.0004859761 0.0054523918.4 0.0000 -0.921883751 0.0000 -0.00366 -0.0003230132 -0.0216321718.5 0.0000 0.4892402567 0.0000 0.0006082 5.3676415E-05 0.0291659718.6 0.0000 0.0940790878 0.0000 0.0024898 0.0002197267 -0.0258449618.7 0.0000 -0.610978332 0.0000 -0.004523 -0.0003991819 0.0134667918.8 0.0000 0.8803141633 0.0000 0.0048248 0.0004257831 0.0030325118.9 0.0000 -0.819664003 0.0000 -0.003384 -0.0002986037 -0.01752024

19 0.0000 0.4692591149 0.0000 0.0008133 7.1770398E-05 0.0249277319.1 0.0000 0.0292954143 0.0000 0.0019036 0.0001679886 -0.0230033619.2 0.0000 -0.489362658 0.0000 -0.003787 -0.0003341946 0.012959719.3 0.0000 0.748556611 0.0000 0.0042101 0.0003715344 0.0011548819.4 0.0000 -0.72545894 0.0000 -0.003104 -0.000273893 -0.0140634319.5 0.0000 0.4441903037 0.0000 0.0009493 8.3776187E-05 0.0212168119.6 0.0000 -0.019854005 0.0000 0.0014235 0.0001256231 -0.0203798819.7 0.0000 -0.387743533 0.0000 -0.003154 -0.0002783275 0.0123008619.8 0.0000 0.633760831 0.0000 0.003659 0.0003229058 -0.000276219.9 0.0000 -0.6392848 0.0000 -0.002827 -0.0002494887 -0.01117169

20 0.0000 0.415850962 0.0000 0.0010308 9.0963813E-05 0.01798074

Masa M 0.2533Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.1592

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 0.7 MAX Uivelocidad inicial Ůo 0.8 MAX U´iaceleracion inicial ϋ o 0.9 MAX U´´i

periodo de la estru T 1

CALCULOS INICIALES WnÜo 10.031845239 TnΔt 10.036711943 estabilidad^K 10.04 10.1 NO ESTABLEa 0.42 0.63b 0.51 0.7679

CASOS

ESPECIA

LES

D2002
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D2004
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C2005
estos son datos iniciales?
C2007
esta es igual a la aceleracion del sismo?
G2012
REVIZAR….
B2013
caso de aceleracion promedio
C2013
caso de aceleracion promedio
B2014
este es para el caso de aceleracion promedio
C2014
este es para el caso de aceleracion promedio
B2015
para el caso de aceleracion promedio
C2015
para el caso de aceleracion promedio
Page 74: Hojas de Calculo Fransua

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.031845239 5.0000 5.1573437 0.4551324867 7.502649730.1 5.0000 140.02114943 3.6603 5.4751253 0.4831765273 -6.941768920.2 8.6603 -278.8565279 1.3397 0.1082465 0.009552691 -2.530707810.3 10.0000 228.24237173 -1.3397 -0.339222 -0.0299361033 1.740931920.4 8.6603 -193.4237333 -3.6603 -4.564106 -0.4027796414 -9.197802680.5 5.0000 9.4676795996 -5.0000 -6.1007 -0.5383830936 6.485733640.6 0.0000 120.24699321 0.0000 0.3241044 0.0286020156 4.853968540.7 0.0000 -23.16762232 0.0000 0.2438739 0.0215217244 -4.995574370.8 0.0000 -76.74386507 0.0000 -0.692718 -0.0611319578 3.342500730.9 0.0000 143.59387957 0.0000 0.8685872 0.0766522979 -0.58681561

1 0.0000 -155.3301918 0.0000 -0.723916 -0.0638851206 -2.223932761.1 0.0000 110.85153663 0.0000 0.3284553 0.0289859816 4.08135481.2 0.0000 -29.2244406 0.0000 0.1622633 0.0143196431 -4.374681571.3 0.0000 -58.26919082 0.0000 -0.567377 -0.0500707181 3.086874351.4 0.0000 120.00667772 0.0000 0.7468027 0.0659048902 -0.767362181.5 0.0000 -135.3539213 0.0000 -0.649045 -0.0572778457 -1.696292541.6 0.0000 101.42807047 0.0000 0.3246414 0.0286494084 3.414837621.7 0.0000 -33.13131799 0.0000 0.0976486 0.0086174318 -3.815477161.8 0.0000 -43.17822512 0.0000 -0.461289 -0.0407084497 2.828959531.9 0.0000 99.757415634 0.0000 0.6395138 0.056436713 -0.88605627

2 0.0000 -117.4785411 0.0000 -0.578997 -0.0510961109 -1.264600212.1 0.0000 92.186536927 0.0000 0.3147947 0.0277804469 2.842131362.2 0.0000 -35.34390963 0.0000 0.0471539 0.0041613046 -3.314514212.3 0.0000 -30.9463746 0.0000 -0.371903 -0.0328201887 2.574884352.4 0.0000 82.444061523 0.0000 0.5453914 0.0481304661 -0.955871252.5 0.0000 -101.5614865 0.0000 -0.514068 -0.0453661846 -0.914061772.6 0.0000 83.28025116 0.0000 0.300642 0.0265314733 2.352014932.7 0.0000 -36.23995266 0.0000 0.0083214 0.0007343618 -2.867957162.8 0.0000 -21.11919045 0.0000 -0.296951 -0.0262057136 2.329155652.9 0.0000 67.702303423 0.0000 0.4631565 0.0408732805 -0.98757577

3 0.0000 -87.45381875 0.0000 -0.454371 -0.0400980116 -0.631850083.1 0.0000 74.816817222 0.0000 0.2835689 0.0250247894 1.93430613.2 0.0000 -36.13069526 0.0000 -0.020941 -0.0018480007 -2.47176193.3 0.0000 -13.30454278 0.0000 -0.234422 -0.020687644 2.094969043.4 0.0000 55.203923495 0.0000 0.3915951 0.034558036 -0.990055443.5 0.0000 -75.00503223 0.0000 -0.399879 -0.0352890973 -0.406887233.6 0.0000 66.867287658 0.0000 0.2646765 0.0233575405 1.579819993.7 0.0000 -35.27088796 0.0000 -0.042405 -0.0037422248 -2.121815293.8 0.0000 -7.16541788 0.0000 -0.182545 -0.0161095259 1.874469273.9 0.0000 44.654803298 0.0000 0.3295685 0.0290842244 -0.97059427

4 0.0000 -64.06668862 0.0000 -0.350458 -0.0309276844 -0.229643914.1 0.0000 59.47381045 0.0000 0.2448282 0.021605939 1.280316384.2 0.0000 -33.86748293 0.0000 -0.057567 -0.0050802923 -1.8140414.3 0.0000 -2.413337109 0.0000 -0.139762 -0.0123339461 1.668967934.4 0.0000 35.792695626 0.0000 0.2760183 0.0243584539 -0.935119934.5 0.0000 -54.49509414 0.0000 -0.305898 -0.0269953316 -0.09195578

A2018
el tiempo lo vamos a variar
B2018
ESTE ES EL DATO QUE VA A VARIAR
D2018
este dato no es igual al de la segunda columna?
C2019
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 75: Hojas de Calculo Fransua

4.6 0.0000 52.65597846 0.0000 0.2246914 0.0198288793 1.028444.7 0.0000 -32.08717842 0.0000 -0.067683 -0.005973024 -1.544478074.8 0.0000 1.1976170656 0.0000 -0.104711 -0.009240711 1.479124334.9 0.0000 28.384869503 0.0000 0.2299695 0.0202946732 -0.88841665

5 0.0000 -46.15320241 0.0000 -0.265939 -0.0234689891 0.01314345.1 0.0000 46.416070397 0.0000 0.2047721 0.0180710175 0.817656735.2 0.0000 -30.06293577 0.0000 -0.073802 -0.0065130065 -1.309337215.3 0.0000 3.8761915531 0.0000 -0.076206 -0.0067251109 1.305095125.4 0.0000 22.225710878 0.0000 0.1905303 0.0168141813 -0.834309285.5 0.0000 -38.91189641 0.0000 -0.230287 -0.0203226517 0.091572625.6 0.0000 40.743348769 0.0000 0.1854447 0.0163653845 0.642188115.7 0.0000 -27.89958664 0.0000 -0.076796 -0.0067771764 -1.105039325.8 0.0000 5.7988001422 0.0000 -0.053216 -0.0046962877 1.14665715.9 0.0000 17.134341827 0.0000 0.1568903 0.0138454769 -0.77582181

6 0.0000 -32.65077795 0.0000 -0.198626 -0.0175286607 0.148339056.1 0.0000 35.617559024 0.0000 0.1669767 0.014735594 0.496946046.2 0.0000 -25.67863823 0.0000 -0.077384 -0.006829093 -0.928239786.3 0.0000 7.1138426735 0.0000 -0.034853 -0.003075713 1.003307386.4 0.0000 12.952304857 0.0000 0.128318 0.0113239903 -0.715313316.5 0.0000 -27.25857104 0.0000 -0.170638 -0.0150587149 0.18765926.6 0.0000 31.011755106 0.0000 0.14955 0.0131976975 0.377469056.7 0.0000 -23.4623742 0.0000 -0.076158 -0.0067209282 -0.775841566.8 0.0000 7.9455430171 0.0000 -0.020349 -0.001795784 0.874344446.9 0.0000 9.5413458434 0.0000 0.1041563 0.0091917335 -0.65459409

7 0.0000 -22.6332277 0.0000 -0.146003 -0.0128846411 0.21306667.1 0.0000 26.894559682 0.0000 0.1332784 0.0117617382 0.279860997.2 0.0000 -21.29733994 0.0000 -0.073601 -0.0064952023 -0.64499987.3 0.0000 8.3973440261 0.0000 -0.009049 -0.0007985356 0.758933137.4 0.0000 6.7813185711 0.0000 0.0838181 0.0073968963 -0.595024497.5 0.0000 -18.68180842 0.0000 -0.124408 -0.0109789686 0.227507197.6 0.0000 23.23195232 0.0000 0.1182222 0.0104330426 0.200733037.7 0.0000 -19.21729175 0.0000 -0.0701 -0.0061862914 -0.533119717.8 0.0000 8.5548975945 0.0000 -0.000391 -3.446911E-05 0.656156157.9 0.0000 4.5682254699 0.0000 0.0667813 0.0058934108 -0.53759855

8 0.0000 -15.32019656 0.0000 -0.105557 -0.0093153442 0.233423458.1 0.0000 19.988665627 0.0000 0.1044006 0.0092132904 0.137149248.2 0.0000 -17.24568086 0.0000 -0.065969 -0.0058217321 -0.437849698.3 0.0000 8.4886870922 0.0000 0.0061021 0.0005385075 0.565054488.4 0.0000 2.8124025378 0.0000 0.0525839 0.0046405019 -0.483014598.5 0.0000 -12.47269442 0.0000 -0.089166 -0.0078688196 0.232828168.6 0.0000 17.129257713 0.0000 0.0918011 0.0081013936 0.08657618.7 0.0000 -15.39773574 0.0000 -0.061455 -0.0054233458 -0.357070898.8 0.0000 8.2563180065 0.0000 0.0108333 0.0009560332 0.484658478.9 0.0000 1.4368513341 0.0000 0.0408188 0.0036022361 -0.43173441

9 0.0000 -10.0715395 0.0000 -0.07497 -0.0066160352 0.227368989.1 0.0000 14.618919147 0.0000 0.0803883 0.007094215 0.046836029.2 0.0000 -13.68219869 0.0000 -0.056751 -0.0050082036 -0.28888449.3 0.0000 7.9045107714 0.0000 0.0141434 0.0012481461 0.41401139

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9.4 0.0000 0.3757170342 0.0000 0.0311286 0.00274708 -0.384032719.5 0.0000 -8.056371306 0.0000 -0.062724 -0.0055353247 0.218384629.6 0.0000 12.424063704 0.0000 0.0701098 0.0061871505 0.016064889.7 0.0000 -12.10276602 0.0000 -0.052005 -0.0045894513 -0.231596929.8 0.0000 7.4708276439 0.0000 0.0163179 0.0014400435 0.352186819.9 0.0000 -0.427091354 0.0000 0.023201 0.0020474742 -0.340038210 0.0000 -6.373672651 0.0000 -0.052202 -0.0046067563 0.20695359

10.1 0.0000 10.512744443 0.0000 0.0609023 0.0053745958 -0.0073265510.2 0.0000 -10.65927539 0.0000 -0.047332 -0.004177012 -0.1837056110.3 0.0000 6.9851632157 0.0000 0.0175951 0.0015527542 0.2983009310.4 0.0000 -1.019144592 0.0000 0.0167642 0.0014794295 -0.2997674210.5 0.0000 -4.976203899 0.0000 -0.043197 -0.0038121264 0.1939363110.6 0.0000 8.8549300388 0.0000 0.0526952 0.004650319 -0.024687410.7 0.0000 -9.348678027 0.0000 -0.042813 -0.0037781815 -0.1438826110.8 0.0000 6.4710258101 0.0000 0.0181727 0.0016037323 0.2515208910.9 0.0000 -1.440608053 0.0000 0.0115825 0.0010221465 -0.26315261

11 0.0000 -3.822444047 0.0000 -0.035523 -0.0031349177 0.1800113211.1 0.0000 7.4226704739 0.0000 0.0454139 0.0040077518 -0.0371579311.2 0.0000 -8.165829117 0.0000 -0.038506 -0.003398131 -0.1109597211.3 0.0000 5.9466346735 0.0000 0.0182141 0.0016073793 0.2110699311.4 0.0000 -1.725236109 0.0000 0.0074523 0.000657663 -0.2300642611.5 0.0000 -2.876049014 0.0000 -0.029011 -0.0025602316 0.1657063711.6 0.0000 6.1901763258 0.0000 0.0389829 0.0034402155 -0.0456974211.7 0.0000 -7.104124797 0.0000 -0.034452 -0.0030403287 -0.0839134611.8 0.0000 5.4258555848 0.0000 0.0178528 0.0015755 0.1762300311.9 0.0000 -1.901254913 0.0000 0.0041986 0.0003705282 -0.20032947

12 0.0000 -2.105334462 0.0000 -0.02351 -0.0020747023 0.1514248612.1 0.0000 5.1338316192 0.0000 0.0333271 0.0029410929 -0.0511089512.2 0.0000 -6.156010687 0.0000 -0.030673 -0.0027068932 -0.0618507712.3 0.0000 4.9189953047 0.0000 0.0171979 0.0015177001 0.1463426412.4 0.0000 -1.992142575 0.0000 0.0016715 0.0001475052 -0.1737465412.5 0.0000 -1.482788125 0.0000 -0.018883 -0.0016664002 0.1374684312.6 0.0000 4.2321566536 0.0000 0.0283736 0.0025039548 -0.0540613312.7 0.0000 -5.313383189 0.0000 -0.027183 -0.0023988866 -0.043995512.8 0.0000 4.4334731992 0.0000 0.016337 0.0014417322 0.1208078712.9 0.0000 -2.017315703 0.0000 -0.000257 -2.270017E-05 -0.15009652

13 0.0000 -0.984614748 0.0000 -0.015011 -0.0013247278 0.1240559713.1 0.0000 3.4657341647 0.0000 0.0240529 0.0021226515 -0.0551083913.2 0.0000 -4.567901877 0.0000 -0.023984 -0.0021165564 -0.0296757713.3 0.0000 3.9743864125 0.0000 0.0153405 0.0013537934 0.0990827713.4 0.0000 -1.99273102 0.0000 -0.001696 -0.0001496838 -0.1291523113.5 0.0000 -0.590315234 0.0000 -0.011788 -0.0010403135 0.1113397213.6 0.0000 2.817109615 0.0000 0.020299 0.0017913752 -0.0547059513.7 0.0000 -3.911228538 0.0000 -0.021071 -0.0018595356 -0.0183122713.8 0.0000 3.5449831471 0.0000 0.0142639 0.0012587827 0.0806786313.9 0.0000 -1.931410449 0.0000 -0.002737 -0.0002415629 -0.11068555

14 0.0000 -0.282300482 0.0000 -0.009121 -0.0008049058 0.0994186914.1 0.0000 2.270674255 0.0000 0.0170505 0.0015046989 -0.0532266

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14.2 0.0000 -3.335206161 0.0000 -0.018436 -0.001627004 -0.0094074614.3 0.0000 3.1470569308 0.0000 0.0131505 0.0011605214 0.0651579714.4 0.0000 -1.843897545 0.0000 -0.003458 -0.0003051728 -0.0944718514.5 0.0000 -0.045539519 0.0000 -0.006927 -0.0006112697 0.0883499114.6 0.0000 1.8125378011 0.0000 0.0142505 0.0012575978 -0.0509725614.7 0.0000 -2.831989084 0.0000 -0.016066 -0.0014178201 -0.0025357914.8 0.0000 2.7812732188 0.0000 0.0120334 0.0010619415 0.0521310314.9 0.0000 -1.738652706 0.0000 -0.003923 -0.0003462412 -0.08029468

15 0.0000 0.1327591108 0.0000 -0.005134 -0.0004530872 0.0781577615.1 0.0000 1.430396076 0.0000 0.0118466 0.0010454565 -0.0481868815.2 0.0000 -2.394133761 0.0000 -0.013945 -0.0012306264 0.0026652315.3 0.0000 2.4474382869 0.0000 0.0109377 0.0009652456 0.0412522115.4 0.0000 -1.622394015 0.0000 -0.004187 -0.0003695433 -0.0679479915.5 0.0000 0.2634341817 0.0000 -0.003681 -0.0003248631 0.068841615.6 0.0000 1.1133977281 0.0000 0.0097912 0.0008640658 -0.0450630215.7 0.0000 -2.01465808 0.0000 -0.012056 -0.0010639325 0.0065030515.8 0.0000 2.1447191144 0.0000 0.0098816 0.0008720428 0.0322164515.9 0.0000 -1.500390018 0.0000 -0.004295 -0.0003790378 -0.05723807

16 0.0000 0.3556286581 0.0000 -0.002514 -0.0002218367 0.0603820916.1 0.0000 0.8520131305 0.0000 0.008041 0.0007096109 -0.0417531416.2 0.0000 -1.687075852 0.0000 -0.010382 -0.0009161809 0.009237316.3 0.0000 1.8718218275 0.0000 0.0088778 0.000783463 0.0247555816.4 0.0000 -1.376710212 0.0000 -0.004283 -0.000377987 -0.0479845816.5 0.0000 0.4170185854 0.0000 -0.001585 -0.0001399002 0.0527463216.6 0.0000 0.6379077349 0.0000 0.006557 0.000578655 -0.0383752116.7 0.0000 -1.405411968 0.0000 -0.008904 -0.0007857974 0.0110861616.8 0.0000 1.627135265 0.0000 0.0079349 0.0007002529 0.0186348416.9 0.0000 -1.254438462 0.0000 -0.004182 -0.000369061 -0.04002112

17 0.0000 0.4540161023 0.0000 -0.000856 -7.552293E-05 0.0458918817.1 0.0000 0.4638214896 0.0000 0.0053045 0.0004681179 -0.0350190617.2 0.0000 -1.164202741 0.0000 -0.007606 -0.0006712287 0.0122321317.3 0.0000 1.4088453302 0.0000 0.0070579 0.0006228559 0.0136495617.4 0.0000 -1.135854057 0.0000 -0.004016 -0.0003544293 -0.0331952717.5 0.0000 0.4719486971 0.0000 -0.000291 -2.568245E-05 0.039770217.6 0.0000 0.3234553951 0.0000 0.0042522 0.0003752534 -0.0317514917.7 0.0000 -0.958485148 0.0000 -0.00647 -0.0005709713 0.0128269917.8 0.0000 1.215025004 0.0000 0.0062491 0.0005514792 0.0096220217.9 0.0000 -1.022584632 0.0000 -0.003806 -0.0003358394 -0.02736839

18 0.0000 0.4752168141 0.0000 0.0001382 1.2197718E-05 0.0343291318.1 0.0000 0.2113658478 0.0000 0.0033725 0.000297624 -0.0286206118.2 0.0000 -0.783778 0.0000 -0.00548 -0.0004835909 0.0129963118.3 0.0000 1.0437041887 0.0000 0.0055088 0.0004861482 0.0063984718.4 0.0000 -0.915734735 0.0000 -0.003566 -0.0003146854 -0.0224151418.5 0.0000 0.4674318522 0.0000 0.0004567 4.0304776E-05 0.0295149518.6 0.0000 0.1228670924 0.0000 0.0026411 0.0002330762 -0.0256595218.7 0.0000 -0.636057457 0.0000 -0.00462 -0.000407736 0.0128432718.8 0.0000 0.8929229449 0.0000 0.0048357 0.0004267517 0.0038464818.9 0.0000 -0.815993367 0.0000 -0.00331 -0.0002920665 -0.01822284

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19 0.0000 0.4515365057 0.0000 0.0006854 6.0487215E-05 0.0252739219.1 0.0000 0.0539418464 0.0000 0.0020365 0.0001797156 -0.0228893519.2 0.0000 -0.511728847 0.0000 -0.003877 -0.0003421462 0.0124521119.3 0.0000 0.7607711434 0.0000 0.0042275 0.0003730787 0.0018523819.4 0.0000 -0.723723483 0.0000 -0.003046 -0.0002688376 -0.0146907119.5 0.0000 0.4299092913 0.0000 0.0008419 7.430007E-05 0.0215534619.6 0.0000 0.0011599702 0.0000 0.0015398 0.0001358824 -0.0203218219.7 0.0000 -0.407596318 0.0000 -0.003237 -0.0002856566 0.0118910419.8 0.0000 0.6454170889 0.0000 0.003681 0.000324848 0.0003190519.9 0.0000 -0.63903603 0.0000 -0.002784 -0.000245652 -0.01172905

20 0.0000 0.4044549787 0.0000 0.000941 8.3045111E-05 0.01830299

Masa M 0.3065Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.1751

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 0.8 MAX Uivelocidad inicial Ůo 0.9 MAX U´iaceleracion inicial ϋ o 1 MAX U´´i

periodo de la estru T 1.1

CALCULOS INICIALES WnÜo 10.036711943 TnΔt 10.04177269 estabilidad^K 10.05 10.1 NO ESTABLEa 0.47 0.71b 0.61 0.9282

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.036711943 5.0000 5.1706835 0.4563097224 7.326194450.1 5.0000 136.48717702 3.6603 5.4470418 0.4806981752 -6.838425390.2 8.6603 -273.2556849 1.3397 0.140201 0.0123726503 -2.528085110.3 10.0000 222.69398273 -1.3397 -0.363401 -0.0320698874 1.639234350.4 8.6603 -189.9092956 -3.6603 -4.555914 -0.4020566544 -9.038969690.5 5.0000 9.1299017494 -5.0000 -6.090874 -0.5375159595 6.329783590.6 0.0000 117.4657701 0.0000 0.3007866 0.0265442358 4.951420310.7 0.0000 -18.43736382 0.0000 0.2715856 0.0239672696 -5.002959640.8 0.0000 -81.62182895 0.0000 -0.714666 -0.0630688062 3.262238120.9 0.0000 146.8665914 0.0000 0.8772444 0.0774162929 -0.45253614

1 0.0000 -155.9173142 0.0000 -0.716933 -0.0632689032 -2.361167781.1 0.0000 108.69395859 0.0000 0.3092088 0.0272874911 4.172295671.2 0.0000 -25.24804525 0.0000 0.1862009 0.0164321188 -4.389403111.3 0.0000 -62.54001701 0.0000 -0.587181 -0.0518183699 3.024393341.4 0.0000 123.02788379 0.0000 0.7556215 0.0666831468 -0.6543631.5 0.0000 -136.1151439 0.0000 -0.644342 -0.0568628168 -1.81655627

CASOS

ESPECIA

LES

D2224
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D2226
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C2227
estos son datos iniciales?
C2229
esta es igual a la aceleracion del sismo?
G2234
REVIZAR….
B2235
caso de aceleracion promedio
C2235
caso de aceleracion promedio
B2236
este es para el caso de aceleracion promedio
C2236
este es para el caso de aceleracion promedio
B2237
para el caso de aceleracion promedio
C2237
para el caso de aceleracion promedio
A2240
el tiempo lo vamos a variar
B2240
ESTE ES EL DATO QUE VA A VARIAR
D2240
este dato no es igual al de la segunda columna?
C2241
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 79: Hojas de Calculo Fransua

1.6 0.0000 99.784018545 0.0000 0.3088585 0.0272565741 3.498944081.7 0.0000 -29.80513685 0.0000 0.1182441 0.0104349741 -3.835376081.8 0.0000 -46.90238482 0.0000 -0.47906 -0.0422767747 2.781141111.9 0.0000 102.52520695 0.0000 0.6482638 0.0572088928 -0.79142776

2 0.0000 -118.3537621 0.0000 -0.576102 -0.0508406952 -1.369564012.1 0.0000 90.962481956 0.0000 0.3019456 0.0266465196 2.91930832.2 0.0000 -32.57631594 0.0000 0.064803 0.0057188256 -3.337862182.3 0.0000 -34.1809277 0.0000 -0.38777 -0.0342204403 2.539076872.4 0.0000 84.962465003 0.0000 0.5539014 0.048881468 -0.87703872.5 0.0000 -102.503239 0.0000 -0.512591 -0.0452358081 -1.005306822.6 0.0000 82.397102536 0.0000 0.2902667 0.0256158661 2.422340312.7 0.0000 -33.95029638 0.0000 0.0233838 0.0020636071 -2.893385492.8 0.0000 -23.91741339 0.0000 -0.31105 -0.0274499386 2.303114572.9 0.0000 69.979704879 0.0000 0.4713035 0.0415922506 -0.92227079

3 0.0000 -88.42512069 0.0000 -0.453987 -0.0400640885 -0.710855993.1 0.0000 74.208000864 0.0000 0.2752699 0.0242924046 1.997985853.2 0.0000 -34.2482838 0.0000 -0.00814 -0.0007183404 -2.498200753.3 0.0000 -15.71573126 0.0000 -0.246894 -0.0217882245 2.076803073.4 0.0000 57.251792692 0.0000 0.3992949 0.0352375352 -0.936287883.5 0.0000 -75.97755024 0.0000 -0.400322 -0.0353281417 -0.475025663.6 0.0000 66.477037018 0.0000 0.2581111 0.0227781469 1.637151433.7 0.0000 -33.73400837 0.0000 -0.031574 -0.0027863646 -2.148441663.8 0.0000 -9.234824867 0.0000 -0.193529 -0.0170788281 1.862592393.9 0.0000 46.486672701 0.0000 0.3367675 0.0297195314 -0.9266252

4 0.0000 -65.01917673 0.0000 -0.35151 -0.0310205358 -0.288176144.1 0.0000 59.255653883 0.0000 0.2397025 0.0211536013 1.331658884.2 0.0000 -32.62247621 0.0000 -0.048444 -0.0042751786 -1.840234484.3 0.0000 -4.182213407 0.0000 -0.149395 -0.0131840583 1.662056894.4 0.0000 37.423351139 0.0000 0.2826873 0.0249469843 -0.899436044.5 0.0000 -55.41207184 0.0000 -0.307384 -0.0271264815 -0.142033284.6 0.0000 52.571406227 0.0000 0.2207543 0.0194814378 1.074191674.7 0.0000 -31.08757286 0.0000 -0.060036 -0.0052981454 -1.569783334.8 0.0000 -0.308093772 0.0000 -0.113125 -0.0099832529 1.476081184.9 0.0000 29.829717391 0.0000 0.2360979 0.0208354985 -0.85970615

5 0.0000 -47.02384046 0.0000 -0.267719 -0.0236259981 -0.029523785.1 0.0000 46.433364899 0.0000 0.2018101 0.0178096175 0.858236095.2 0.0000 -29.2686431 0.0000 -0.067425 -0.0059501969 -1.333432385.3 0.0000 2.5999955419 0.0000 -0.083526 -0.0073711013 1.305014295.4 0.0000 23.500290286 0.0000 0.1961218 0.0173076334 -0.81143965.5 0.0000 -39.72908225 0.0000 -0.232247 -0.0204956466 0.0553745.6 0.0000 40.836562218 0.0000 0.1832766 0.0161740524 0.678019985.7 0.0000 -27.27616257 0.0000 -0.071507 -0.0063104177 -1.127709385.8 0.0000 4.7219748879 0.0000 -0.059559 -0.0052560576 1.148796595.9 0.0000 18.253956821 0.0000 0.1619595 0.0142928245 -0.75781894

6 0.0000 -33.41033569 0.0000 -0.20068 -0.017709903 0.117764396.1 0.0000 35.765623555 0.0000 0.1654499 0.0146008578 0.528450826.2 0.0000 -25.19660709 0.0000 -0.073024 -0.0064443203 -0.949354396.3 0.0000 6.2095193611 0.0000 -0.040327 -0.0035588565 1.00706366

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6.4 0.0000 13.93175391 0.0000 0.1328868 0.0117271762 -0.701343016.5 0.0000 -27.9586141 0.0000 -0.172718 -0.0152422314 0.161954866.6 0.0000 31.197711226 0.0000 0.1485364 0.0131082491 0.405054756.7 0.0000 -23.09661614 0.0000 -0.072588 -0.0064058427 -0.795336596.8 0.0000 7.1898843269 0.0000 -0.025056 -0.0022111361 0.879230726.9 0.0000 10.394730128 0.0000 0.1082519 0.0095531638 -0.64394473

7 0.0000 -23.27362465 0.0000 -0.148057 -0.0130659092 0.191563277.1 0.0000 27.104889973 0.0000 0.132671 0.0117081333 0.303917597.2 0.0000 -21.02653827 0.0000 -0.070698 -0.0062390923 -0.66286217.3 0.0000 7.7692963003 0.0000 -0.013079 -0.001154173 0.764560487.4 0.0000 7.5219133967 0.0000 0.0874711 0.0077192719 -0.587091597.5 0.0000 -19.26374516 0.0000 -0.126399 -0.0111546497 0.209613167.6 0.0000 23.45600831 0.0000 0.1179321 0.0104074364 0.221628567.7 0.0000 -19.02343704 0.0000 -0.067761 -0.0059798648 -0.549374597.8 0.0000 8.0359452867 0.0000 -0.003827 -0.0003377265 0.662217357.9 0.0000 5.208401779 0.0000 0.0700242 0.0061795955 -0.53187091

8 0.0000 -15.84582003 0.0000 -0.107457 -0.0094830582 0.218617848.1 0.0000 20.218176779 0.0000 0.1043543 0.0092092046 0.155227428.2 0.0000 -17.11362841 0.0000 -0.064102 -0.0056569599 -0.452550718.3 0.0000 8.062614215 0.0000 0.0031843 0.0002810091 0.571310098.4 0.0000 3.3635875879 0.0000 0.0554499 0.0048934198 -0.479061888.5 0.0000 -12.94482509 0.0000 -0.090958 -0.0080269554 0.220654378.6 0.0000 17.357912486 0.0000 0.0919385 0.0081135132 0.1021558.7 0.0000 -15.31481244 0.0000 -0.059981 -0.0052933179 -0.370291628.8 0.0000 7.9089799572 0.0000 0.0083666 0.0007383497 0.490924988.9 0.0000 1.9095195693 0.0000 0.0433407 0.0038247936 -0.4291961

9 0.0000 -10.49344155 0.0000 -0.076642 -0.0067635926 0.217428389.1 0.0000 14.842009064 0.0000 0.0806602 0.0071182104 0.060207699.2 0.0000 -13.63785536 0.0000 -0.055604 -0.0049069966 -0.300711839.3 0.0000 7.6236188426 0.0000 0.0120677 0.0010649686 0.420151139.4 0.0000 0.7794037654 0.0000 0.0333386 0.0029421073 -0.382608369.5 0.0000 -8.431570925 0.0000 -0.06427 -0.0056717823 0.210330579.6 0.0000 12.638182253 0.0000 0.0704767 0.0062195233 0.027495559.7 0.0000 -12.08827132 0.0000 -0.051128 -0.0045120084 -0.242126189.8 0.0000 7.2457476744 0.0000 0.0145797 0.0012866529 0.358099419.9 0.0000 -0.083759481 0.0000 0.0251297 0.0022176839 -0.3394787910 0.0000 -6.705816338 0.0000 -0.05362 -0.0047319626 0.20048586

10.1 0.0000 10.715533553 0.0000 0.0613324 0.0054125458 0.0024043110.2 0.0000 -10.6674474 0.0000 -0.046675 -0.0041190344 -0.1930359110.3 0.0000 6.8067291674 0.0000 0.0161471 0.0014249749 0.303916110.4 0.0000 -0.728407216 0.0000 0.0184408 0.0016273874 -0.2998678510.5 0.0000 -5.268949733 0.0000 -0.04449 -0.0039262103 0.1887958910.6 0.0000 9.0448676224 0.0000 0.0531633 0.0046916287 -0.0164391210.7 0.0000 -9.373649931 0.0000 -0.042335 -0.0037360306 -0.1521140710.8 0.0000 6.3313685374 0.0000 0.0169733 0.0014978855 0.2567923910.9 0.0000 -1.195520696 0.0000 0.0130341 0.0011502534 -0.26374504

11 0.0000 -4.079380013 0.0000 -0.036694 -0.0032382152 0.1759756711.1 0.0000 7.5988933143 0.0000 0.0459005 0.0040506881 -0.0301976

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11.2 0.0000 -8.202845302 0.0000 -0.038173 -0.0033687407 -0.1181909811.3 0.0000 5.8390257577 0.0000 0.0172266 0.0015202376 0.2159705411.4 0.0000 -1.51961487 0.0000 0.0087042 0.0007681443 -0.2310124111.5 0.0000 -3.100633345 0.0000 -0.030065 -0.0026532265 0.1625849911.6 0.0000 6.352333243 0.0000 0.0394727 0.0034834457 -0.0398515511.7 0.0000 -7.149364293 0.0000 -0.034234 -0.0030211282 -0.0902399211.8 0.0000 5.344565814 0.0000 0.0170454 0.0015042435 0.1807473611.9 0.0000 -1.729618665 0.0000 0.005274 0.0004654303 -0.20152362

12 0.0000 -2.30085375 0.0000 -0.024453 -0.0021579789 0.1490554412.1 0.0000 5.2819624761 0.0000 0.0338089 0.0029836122 -0.0462236112.2 0.0000 -6.206434774 0.0000 -0.030547 -0.0026957376 -0.0673633812.3 0.0000 4.8591671698 0.0000 0.0165426 0.001459875 0.1504756312.4 0.0000 -1.849654544 0.0000 0.0025915 0.0002286961 -0.1750992112.5 0.0000 -1.652329649 0.0000 -0.019724 -0.0017406052 0.1357131812.6 0.0000 4.3665933198 0.0000 0.028839 0.0025450261 -0.0500005612.7 0.0000 -5.366604435 0.0000 -0.027128 -0.0023939962 -0.0487798912.8 0.0000 4.3910066313 0.0000 0.0158099 0.0013952113 0.1245640412.9 0.0000 -1.899725838 0.0000 0.0005266 4.6473625E-05 -0.15153879

13 0.0000 -1.131050035 0.0000 -0.015757 -0.001390541 0.122798513.1 0.0000 3.5870200573 0.0000 0.024496 0.0021617541 -0.051752613.2 0.0000 -4.622072026 0.0000 -0.023983 -0.0021164636 -0.0338117613.3 0.0000 3.9458368992 0.0000 0.0149207 0.0013167403 0.1024758313.4 0.0000 -1.896320202 0.0000 -0.001031 -9.099943E-05 -0.1306306313.5 0.0000 -0.716292397 0.0000 -0.012447 -0.0010984247 0.1104821213.6 0.0000 2.9259348843 0.0000 0.0207159 0.0018281614 -0.051950413.7 0.0000 -3.964942937 0.0000 -0.021111 -0.0018630378 -0.0218735813.8 0.0000 3.5274713125 0.0000 0.0139334 0.0012296182 0.083726713.9 0.0000 -1.852937271 0.0000 -0.002176 -0.0001919981 -0.11215903

14 0.0000 -0.390243294 0.0000 -0.0097 -0.0008559975 0.0988790414.1 0.0000 2.3678240847 0.0000 0.0174387 0.0015389581 -0.0509799314.2 0.0000 -3.387422633 0.0000 -0.018506 -0.0016331232 -0.012461714.3 0.0000 3.1381886478 0.0000 0.0128941 0.001137893 0.0678820214.4 0.0000 -1.78054817 0.0000 -0.002986 -0.0002635051 -0.0959099914.5 0.0000 -0.137651544 0.0000 -0.007434 -0.0006560041 0.0880614.6 0.0000 1.8988516412 0.0000 0.0146089 0.0012892268 -0.0491553914.7 0.0000 -2.881959365 0.0000 -0.016156 -0.0014257676 -0.005144514.8 0.0000 2.7790693308 0.0000 0.011838 0.0010446954 0.0545537614.9 0.0000 -1.687994108 0.0000 -0.003528 -0.0003113851 -0.08167537

15 0.0000 0.0544866749 0.0000 -0.005576 -0.0004920972 0.0780611315.1 0.0000 1.5067359432 0.0000 0.012175 0.0010744347 -0.0467304915.2 0.0000 -2.441345814 0.0000 -0.014049 -0.0012397719 0.0004463615.3 0.0000 2.4502730379 0.0000 0.0107922 0.0009524018 0.0433971115.4 0.0000 -1.582330758 0.0000 -0.003859 -0.0003405392 -0.0692559315.5 0.0000 0.1972120622 0.0000 -0.004065 -0.0003587459 0.068891815.6 0.0000 1.1806239787 0.0000 0.01009 0.0008904347 -0.0439081915.7 0.0000 -2.058787816 0.0000 -0.012168 -0.0010737784 0.0046239315.8 0.0000 2.1512664285 0.0000 0.0097765 0.0008627726 0.0341070915.9 0.0000 -1.469124618 0.0000 -0.004023 -0.000355041 -0.05846336

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16 0.0000 0.2998573374 0.0000 -0.002846 -0.00025115 0.0605411816.1 0.0000 0.9109663515 0.0000 0.0083112 0.0007334578 -0.0408490316.2 0.0000 -1.727946921 0.0000 -0.010497 -0.0009263394 0.0076530916.3 0.0000 1.8810086225 0.0000 0.0088054 0.0007770688 0.0264150816.4 0.0000 -1.352707035 0.0000 -0.00406 -0.000358257 -0.049121616.5 0.0000 0.3702751017 0.0000 -0.001872 -0.0001651601 0.0529835416.6 0.0000 0.6893956078 0.0000 0.0068 0.0006000996 -0.0376783416.7 0.0000 -1.442962462 0.0000 -0.00902 -0.0007959711 0.0097569316.8 0.0000 1.63810104 0.0000 0.0078884 0.0006961503 0.020085516.9 0.0000 -1.236391049 0.0000 -0.003999 -0.0003529515 -0.04106753

17 0.0000 0.4150403617 0.0000 -0.001101 -9.720311E-05 0.046182517.1 0.0000 0.5086096605 0.0000 0.0055219 0.0004873016 -0.0344924117.2 0.0000 -1.198457794 0.0000 -0.007719 -0.0006811949 0.0111224817.3 0.0000 1.4209073223 0.0000 0.0070319 0.0006205579 0.0149125817.4 0.0000 -1.122655714 0.0000 -0.003868 -0.000341378 -0.034151317.5 0.0000 0.4396297157 0.0000 -0.000501 -4.421489E-05 0.0400945617.6 0.0000 0.3622615422 0.0000 0.0044457 0.0003923307 -0.0313636517.7 0.0000 -0.989534544 0.0000 -0.006579 -0.0005805675 0.0119056917.8 0.0000 1.2276482652 0.0000 0.0062389 0.0005505822 0.0107173117.9 0.0000 -1.01330211 0.0000 -0.003687 -0.0003253596 -0.02823615

18 0.0000 0.4485792036 0.0000 -4.055E-05 -3.57822E-06 0.0346717718.1 0.0000 0.2448562713 0.0000 0.003544 0.0003127561 -0.0283450918.2 0.0000 -0.811758006 0.0000 -0.005583 -0.0004927032 0.012235918.3 0.0000 1.0564759935 0.0000 0.0055107 0.0004863198 0.0073445618.4 0.0000 -0.909584774 0.0000 -0.003471 -0.0003063572 -0.023198118.5 0.0000 0.4456227786 0.0000 0.0003052 2.6932964E-05 0.029863918.6 0.0000 0.1516552666 0.0000 0.0027924 0.0002464257 -0.0254740518.7 0.0000 -0.66113622 0.0000 -0.004717 -0.0004162898 0.0122197418.8 0.0000 0.9055309913 0.0000 0.0048467 0.0004277199 0.0046604518.9 0.0000 -0.812321908 0.0000 -0.003235 -0.000285529 -0.01892543

19 0.0000 0.4338132838 0.0000 0.0005576 4.9203859E-05 0.0256200919.1 0.0000 0.078588473 0.0000 0.0021693 0.0001914425 -0.0227753119.2 0.0000 -0.534094767 0.0000 -0.003967 -0.0003500975 0.0119445119.3 0.0000 0.7729850641 0.0000 0.004245 0.0003746227 0.0025498919.4 0.0000 -0.72198731 0.0000 -0.002989 -0.0002637819 -0.0153179819.5 0.0000 0.4156277213 0.0000 0.0007346 6.4823786E-05 0.0218900919.6 0.0000 0.0221741548 0.0000 0.001656 0.0001461416 -0.0202637419.7 0.0000 -0.427448908 0.0000 -0.00332 -0.0002929855 0.011481219.8 0.0000 0.6570728408 0.0000 0.003703 0.0003267899 0.0009143119.9 0.0000 -0.638786641 0.0000 -0.00274 -0.000241815 -0.01228641

20 0.0000 0.3930584914 0.0000 0.0008513 7.512625E-05 0.01862523

Masa M 0.3648Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.1910

Acel sismo As 0Carga Po 0

CASOS

ESPECIA

LES

D2446
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D2448
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
Page 83: Hojas de Calculo Fransua

desplazamiento iniciak Uo 0.9 MAX Uivelocidad inicial Ůo 1 MAX U´iaceleracion inicial ϋ o 1.1 MAX U´´i

periodo de la estru T 1.2

CALCULOS INICIALES WnÜo 10.04177269 TnΔt 10.047026509 estabilidad^K 10.05 10.1 NO ESTABLEa 0.53 0.79b 0.73 1.1038

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.04177269 5.0000 5.1840244 0.4574870449 7.14974090.1 5.0000 132.95304527 3.6603 5.4189577 0.4782197723 -6.735086350.2 8.6603 -267.6547723 1.3397 0.1721554 0.0151926083 -2.525456930.3 10.0000 217.14563372 -1.3397 -0.387579 -0.0342036215 1.537532330.4 8.6603 -186.3949871 -3.6603 -4.547722 -0.4013337454 -8.880134810.5 5.0000 8.7922909661 -5.0000 -6.081047 -0.5366487487 6.173834740.6 0.0000 114.68440386 0.0000 0.2774683 0.024486408 5.048868390.7 0.0000 -13.70703599 0.0000 0.2992974 0.0264128184 -5.010340190.8 0.0000 -86.49976772 0.0000 -0.736613 -0.0650056152 3.181971510.9 0.0000 150.13919798 0.0000 0.8859009 0.0781802219 -0.31825477

1 0.0000 -156.5042934 0.0000 -0.70995 -0.0626526183 -2.498402041.1 0.0000 106.53625266 0.0000 0.2899618 0.0255889559 4.263233521.2 0.0000 -21.27158225 0.0000 0.2101386 0.0185446018 -4.40412061.3 0.0000 -66.8108298 0.0000 -0.606984 -0.053565991 2.961908751.4 0.0000 126.04900474 0.0000 0.7644397 0.0674613479 -0.541361971.5 0.0000 -136.8762441 0.0000 -0.639639 -0.0564477287 -1.936819561.6 0.0000 98.139852886 0.0000 0.2930751 0.0258636984 3.58304811.7 0.0000 -26.47889079 0.0000 0.1388398 0.0122525263 -3.855271551.8 0.0000 -50.62654014 0.0000 -0.496831 -0.0438450763 2.73331951.9 0.0000 105.29293006 0.0000 0.6570133 0.0579810262 -0.69679745

2 0.0000 -119.228879 0.0000 -0.573208 -0.0505852278 -1.474527632.1 0.0000 89.738326301 0.0000 0.2890961 0.0255125543 2.996483282.2 0.0000 -29.80866075 0.0000 0.0824522 0.0072763581 -3.36120722.3 0.0000 -37.41548329 0.0000 -0.403636 -0.0356206743 2.503266562.4 0.0000 87.480814412 0.0000 0.562411 0.0496324311 -0.798204452.5 0.0000 -103.4449034 0.0000 -0.511113 -0.0451053868 -1.096551912.6 0.0000 81.513865173 0.0000 0.2798911 0.0247002243 2.492664132.7 0.0000 -31.66058251 0.0000 0.0384463 0.0033928649 -2.918811322.8 0.0000 -26.7156439 0.0000 -0.325148 -0.0286941509 2.277071012.9 0.0000 72.257064017 0.0000 0.4794502 0.0423111886 -0.85696422

3 0.0000 -89.39634834 0.0000 -0.453602 -0.0400301265 -0.789862093.1 0.0000 73.599106624 0.0000 0.2669705 0.0235599884 2.061664383.2 0.0000 -32.36581893 0.0000 0.004661 0.0004113329 -2.524637493.3 0.0000 -18.12693097 0.0000 -0.259365 -0.0228887961 2.05863492

C2449
estos son datos iniciales?
C2451
esta es igual a la aceleracion del sismo?
G2456
REVIZAR….
B2457
caso de aceleracion promedio
C2457
caso de aceleracion promedio
B2458
este es para el caso de aceleracion promedio
C2458
este es para el caso de aceleracion promedio
B2459
para el caso de aceleracion promedio
C2459
para el caso de aceleracion promedio
A2462
el tiempo lo vamos a variar
B2462
ESTE ES EL DATO QUE VA A VARIAR
D2462
este dato no es igual al de la segunda columna?
C2463
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
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3.4 0.0000 59.299629284 0.0000 0.4069944 0.0359170081 -0.882518833.5 0.0000 -76.95000593 0.0000 -0.400764 -0.0353671525 -0.543164383.6 0.0000 66.086718301 0.0000 0.2515453 0.0221987251 1.694481933.7 0.0000 -32.19707962 0.0000 -0.020742 -0.0018304912 -2.175066263.8 0.0000 -11.30424558 0.0000 -0.204513 -0.0180481245 1.850713593.9 0.0000 48.318517476 0.0000 0.3439663 0.0303548169 -0.88265477

4 0.0000 -65.97161282 0.0000 -0.352562 -0.0311133584 -0.346708744.1 0.0000 59.03743805 0.0000 0.2345765 0.0207012383 1.383000674.2 0.0000 -31.37742459 0.0000 -0.039321 -0.003470052 -1.866426484.3 0.0000 -5.951104998 0.0000 -0.159028 -0.0140341671 1.655144184.4 0.0000 39.053988526 0.0000 0.289356 0.0255354971 -0.863750894.5 0.0000 -56.32900636 0.0000 -0.30887 -0.0272576069 -0.192111194.6 0.0000 52.486782604 0.0000 0.216817 0.0191339738 1.11994284.7 0.0000 -30.08792655 0.0000 -0.052389 -0.0046232543 -1.595087374.8 0.0000 -1.813820751 0.0000 -0.12154 -0.0107257934 1.473036584.9 0.0000 31.274552415 0.0000 0.2422261 0.0213763096 -0.83099452

5 0.0000 -47.89444288 0.0000 -0.269497 -0.0237829862 -0.072191395.1 0.0000 46.450615015 0.0000 0.1988478 0.0175481975 0.898815075.2 0.0000 -28.47431367 0.0000 -0.061047 -0.0053873755 -1.357526535.3 0.0000 1.3237831036 0.0000 -0.090846 -0.0080170916 1.304932215.4 0.0000 24.774861048 0.0000 0.2017133 0.0178010743 -0.788568895.5 0.0000 -40.54623887 0.0000 -0.234207 -0.0206686238 0.019174935.6 0.0000 40.929737484 0.0000 0.1811083 0.0159827027 0.71385165.7 0.0000 -26.65270552 0.0000 -0.066217 -0.0058436478 -1.150378615.8 0.0000 3.645133346 0.0000 -0.065902 -0.0058158286 1.150934995.9 0.0000 19.373566513 0.0000 0.1670285 0.0147401632 -0.73981516

6 0.0000 -34.16986965 0.0000 -0.202734 -0.0178911303 0.087189296.1 0.0000 35.913655368 0.0000 0.163923 0.0144661062 0.559955446.2 0.0000 -24.71454649 0.0000 -0.068664 -0.0060595373 -0.970468316.3 0.0000 5.3051802159 0.0000 -0.045802 -0.0040420018 1.010819026.4 0.0000 14.911200281 0.0000 0.1374554 0.0121303553 -0.687371886.5 0.0000 -28.65863796 0.0000 -0.174797 -0.0154257353 0.136250076.6 0.0000 31.383639427 0.0000 0.1475227 0.0130187872 0.432640386.7 0.0000 -22.73083191 0.0000 -0.069017 -0.0060907476 -0.814831076.8 0.0000 6.4342104858 0.0000 -0.029762 -0.0026264906 0.884116216.9 0.0000 11.24811375 0.0000 0.1123474 0.0099145887 -0.63329463

7 0.0000 -23.91400625 0.0000 -0.150111 -0.0132471668 0.170059517.1 0.0000 27.31519654 0.0000 0.1320634 0.0116545167 0.327974157.2 0.0000 -20.75571345 0.0000 -0.067796 -0.0059829736 -0.680723967.3 0.0000 7.1412342604 0.0000 -0.017108 -0.0015098132 0.770187177.4 0.0000 8.2625090859 0.0000 0.0911241 0.0080416435 -0.579158037.5 0.0000 -19.84566975 0.0000 -0.12839 -0.011330322 0.191718727.6 0.0000 23.680044228 0.0000 0.1176418 0.0103818199 0.242524117.7 0.0000 -18.82956194 0.0000 -0.065422 -0.0057734302 -0.565629127.8 0.0000 7.5169795996 0.0000 -0.007263 -0.0006409869 0.668277987.9 0.0000 5.8485800765 0.0000 0.0732671 0.0064657774 -0.5261427

8 0.0000 -16.37143402 0.0000 -0.109358 -0.0096507649 0.203811858.1 0.0000 20.447671027 0.0000 0.1043079 0.00920511 0.17330565

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8.2 0.0000 -16.98155808 0.0000 -0.062235 -0.0054921805 -0.467251468.3 0.0000 7.6365289468 0.0000 0.0002664 2.3507585E-05 0.577565228.4 0.0000 3.9147754259 0.0000 0.0583158 0.0051463359 -0.475108658.5 0.0000 -13.41694849 0.0000 -0.092749 -0.0081850853 0.208480238.6 0.0000 17.586553093 0.0000 0.0920757 0.0081256251 0.117733988.7 0.0000 -15.23187353 0.0000 -0.058508 -0.0051632835 -0.383512158.8 0.0000 7.5616305239 0.0000 0.0058999 0.0005206631 0.497191088.9 0.0000 2.3821911311 0.0000 0.0458626 0.0040473498 -0.42665735

9 0.0000 -10.91533813 0.0000 -0.078314 -0.0069111451 0.207487459.1 0.0000 15.065087167 0.0000 0.080932 0.0071421992 0.073579449.2 0.0000 -13.59349845 0.0000 -0.054457 -0.0048057838 -0.31253919.3 0.0000 7.3427165291 0.0000 0.009992 0.0008817881 0.426290539.4 0.0000 1.1830941551 0.0000 0.0355485 0.0031371338 -0.381183629.5 0.0000 -8.806766546 0.0000 -0.065816 -0.005808236 0.202276229.6 0.0000 12.852291007 0.0000 0.0708434 0.0062518906 0.038926319.7 0.0000 -12.07376485 0.0000 -0.05025 -0.0044345604 -0.252655339.8 0.0000 7.0206582922 0.0000 0.0128416 0.0011332594 0.364011739.9 0.0000 0.2595762192 0.0000 0.0270585 0.0023878932 -0.3389190510 0.0000 -7.037957214 0.0000 -0.055039 -0.0048571658 0.19401787

10.1 0.0000 10.91831459 0.0000 0.0617624 0.0054504909 0.0121352710.2 0.0000 -10.67560927 0.0000 -0.046018 -0.0040610523 -0.2023661310.3 0.0000 6.6282866371 0.0000 0.0146992 0.0012971928 0.3095310310.4 0.0000 -0.437665967 0.0000 0.0201174 0.0017753453 -0.2999679810.5 0.0000 -5.561693704 0.0000 -0.045783 -0.0040402917 0.1836552410.6 0.0000 9.2347985965 0.0000 0.0536313 0.0047329343 -0.0081907310.7 0.0000 -9.398613108 0.0000 -0.041857 -0.0036938756 -0.1603454710.8 0.0000 6.1917036623 0.0000 0.0157739 0.0013920361 0.2620637110.9 0.0000 -0.950429516 0.0000 0.0144858 0.0012783605 -0.26433722

11 0.0000 -4.336314868 0.0000 -0.037864 -0.0033415106 0.171939811.1 0.0000 7.7751107836 0.0000 0.046387 0.0040936211 -0.0232371611.2 0.0000 -8.239854017 0.0000 -0.03784 -0.0033393469 -0.125422211.3 0.0000 5.7314100619 0.0000 0.0162391 0.0014330935 0.2208710111.4 0.0000 -1.313989928 0.0000 0.0099562 0.0008786262 -0.2319603511.5 0.0000 -3.325217151 0.0000 -0.031119 -0.0027462198 0.1594634311.6 0.0000 6.5144858322 0.0000 0.0399626 0.0035266729 -0.0340055811.7 0.0000 -7.194597419 0.0000 -0.034016 -0.0030019245 -0.0965663711.8 0.0000 5.2632700253 0.0000 0.0162379 0.0014329848 0.1852645611.9 0.0000 -1.557978883 0.0000 0.0063494 0.0005603331 -0.20271759

12 0.0000 -2.496372965 0.0000 -0.025397 -0.0022412543 0.1466858512.1 0.0000 5.4300898796 0.0000 0.0342906 0.0030261291 -0.0413381812.2 0.0000 -6.256853453 0.0000 -0.03042 -0.0026845792 -0.0728759912.3 0.0000 4.7993337171 0.0000 0.0158873 0.0014020478 0.1546085312.4 0.0000 -1.707163182 0.0000 0.0035115 0.0003098876 -0.1764517312.5 0.0000 -1.821871438 0.0000 -0.020565 -0.0018148094 0.1339577912.6 0.0000 4.5010272619 0.0000 0.0293044 0.0025860955 -0.0459396912.7 0.0000 -5.419821111 0.0000 -0.027072 -0.0023891034 -0.0535642912.8 0.0000 4.3485353846 0.0000 0.0152827 0.0013486886 0.1283201312.9 0.0000 -1.782132866 0.0000 0.0013105 0.0001156481 -0.15298093

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13 0.0000 -1.277485834 0.0000 -0.016503 -0.0014563536 0.121540913.1 0.0000 3.7083038303 0.0000 0.024939 0.0022008551 -0.0483967213.2 0.0000 -4.676238328 0.0000 -0.023982 -0.0021163687 -0.0379477513.3 0.0000 3.9172832864 0.0000 0.0145008 0.0012796856 0.1058688413.4 0.0000 -1.799906511 0.0000 -0.000366 -3.231435E-05 -0.1321088413.5 0.0000 -0.842270248 0.0000 -0.013105 -0.0011565355 0.1096244113.6 0.0000 3.0347585327 0.0000 0.0211327 0.0018649462 -0.0491947813.7 0.0000 -4.018654116 0.0000 -0.021151 -0.0018665383 -0.0254349113.8 0.0000 3.5099559004 0.0000 0.013603 0.0012004523 0.0867747213.9 0.0000 -1.774461457 0.0000 -0.001614 -0.0001424325 -0.11363242

14 0.0000 -0.498186908 0.0000 -0.010279 -0.0009070889 0.0983392914.1 0.0000 2.4649727018 0.0000 0.0178269 0.0015732162 -0.0487331914.2 0.0000 -3.439636425 0.0000 -0.018575 -0.001639241 -0.0155159614.3 0.0000 3.1293172555 0.0000 0.0126376 0.0011152632 0.0706060414.4 0.0000 -1.717196394 0.0000 -0.002514 -0.0002218367 -0.0973480414.5 0.0000 -0.229764442 0.0000 -0.00794 -0.0007007384 0.0877700114.6 0.0000 1.9851646007 0.0000 0.0149673 0.001320855 -0.0473381414.7 0.0000 -2.931927424 0.0000 -0.016246 -0.0014337138 -0.0077532314.8 0.0000 2.7768627509 0.0000 0.0116426 0.0010274481 0.0569764714.9 0.0000 -1.637333337 0.0000 -0.003133 -0.0002765284 -0.083056

15 0.0000 -0.023786668 0.0000 -0.006018 -0.0005311071 0.0779644315.1 0.0000 1.5830751974 0.0000 0.0125033 0.0011034121 -0.0452740415.2 0.0000 -2.488556039 0.0000 -0.014152 -0.0012489164 -0.0017725315.3 0.0000 2.4531054677 0.0000 0.0106466 0.000939557 0.04554215.4 0.0000 -1.542265545 0.0000 -0.00353 -0.0003115345 -0.0705638315.5 0.0000 0.1309890304 0.0000 -0.004449 -0.0003926287 0.0689419415.6 0.0000 1.2478498297 0.0000 0.0103888 0.0009168029 -0.0427533115.7 0.0000 -2.102916058 0.0000 -0.012279 -0.0010836234 0.0027447815.8 0.0000 2.1578117489 0.0000 0.0096715 0.0008535015 0.0359977115.9 0.0000 -1.437857467 0.0000 -0.003751 -0.0003310436 -0.05968862

16 0.0000 0.24408512 0.0000 -0.003178 -0.0002804634 0.0607002216.1 0.0000 0.9699193415 0.0000 0.0085814 0.0007573042 -0.0399448716.2 0.0000 -1.768816778 0.0000 -0.010612 -0.0009364971 0.0060688516.3 0.0000 1.8901937121 0.0000 0.0087329 0.0007706738 0.0280745716.4 0.0000 -1.328702298 0.0000 -0.003836 -0.0003385265 -0.0502585816.5 0.0000 0.3235307523 0.0000 -0.002158 -0.00019042 0.0532207116.6 0.0000 0.7408833809 0.0000 0.007043 0.0006215438 -0.0369814316.7 0.0000 -1.480511981 0.0000 -0.009135 -0.0008061443 0.0084276716.8 0.0000 1.6490653623 0.0000 0.0078419 0.000692047 0.0215361616.9 0.0000 -1.218342251 0.0000 -0.003817 -0.0003368414 -0.04211392

17 0.0000 0.3760637973 0.0000 -0.001347 -0.0001188834 0.0464730817.1 0.0000 0.5533978321 0.0000 0.0057392 0.000506485 -0.0339657117.2 0.0000 -1.232712071 0.0000 -0.007832 -0.0006911605 0.010012817.3 0.0000 1.432968082 0.0000 0.0070058 0.0006182593 0.016175617.4 0.0000 -1.10945615 0.0000 -0.00372 -0.0003283263 -0.0351073117.5 0.0000 0.4073099595 0.0000 -0.000711 -6.274749E-05 0.0404188917.6 0.0000 0.4010677652 0.0000 0.0046392 0.0004094079 -0.0309757817.7 0.0000 -1.02058333 0.0000 -0.006687 -0.0005901631 0.01098436

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17.8 0.0000 1.2402704857 0.0000 0.0062288 0.0005496847 0.011812617.9 0.0000 -1.004018514 0.0000 -0.003568 -0.0003148795 -0.02910388

18 0.0000 0.4219408717 0.0000 -0.000219 -1.935433E-05 0.0350143818.1 0.0000 0.2783468253 0.0000 0.0037155 0.0003278881 -0.0280695418.2 0.0000 -0.839737539 0.0000 -0.005686 -0.0005018152 0.0114754718.3 0.0000 1.0692469236 0.0000 0.0055127 0.0004864909 0.0082906518.4 0.0000 -0.903433873 0.0000 -0.003377 -0.0002980286 -0.0239810418.5 0.0000 0.4238130392 0.0000 0.0001537 1.356098E-05 0.0302128318.6 0.0000 0.1804436094 0.0000 0.0029436 0.0002597751 -0.0252885518.7 0.0000 -0.686214621 0.0000 -0.004814 -0.0004248432 0.0115961818.8 0.0000 0.918138306 0.0000 0.0048577 0.0004286877 0.0054744318.9 0.0000 -0.808649629 0.0000 -0.003161 -0.0002789911 -0.01962801

19 0.0000 0.4160894519 0.0000 0.0004297 3.7920334E-05 0.0259662419.1 0.0000 0.1032352933 0.0000 0.0023022 0.0002031694 -0.0226612619.2 0.0000 -0.556460418 0.0000 -0.004057 -0.0003580485 0.011436919.3 0.0000 0.7851983761 0.0000 0.0042625 0.0003761662 0.003247419.4 0.0000 -0.720250425 0.0000 -0.002932 -0.000258726 -0.0159452419.5 0.0000 0.4013455964 0.0000 0.0006272 5.5347337E-05 0.0222267119.6 0.0000 0.0431885475 0.0000 0.0017723 0.0001564008 -0.0202056419.7 0.0000 -0.447301305 0.0000 -0.003403 -0.0003003141 0.0110713419.8 0.0000 0.6687280892 0.0000 0.003725 0.0003287315 0.0015095719.9 0.0000 -0.638536635 0.0000 -0.002697 -0.0002379777 -0.01284376

20 0.0000 0.3816615023 0.0000 0.0007616 6.720723E-05 0.01894746

Masa M 0.4281Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.2069

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 1 MAX Uivelocidad inicial Ůo 1.1 MAX U´iaceleracion inicial ϋ o 1.2 MAX U´´i

periodo de la estru T 1.3

CALCULOS INICIALES WnÜo 10.047026509 TnΔt 10.052472386 estabilidad^K 10.06 10.1 NO ESTABLEa 0.58 0.88b 0.86 1.2946

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.047026509 5.0000 5.1973662 0.4586644537 6.973289070.1 5.0000 129.41875497 3.6603 5.3908731 0.4757413187 -6.631751770.2 8.6603 -262.0537904 1.3397 0.2041098 0.0180125652 -2.52282330.3 10.0000 211.59732451 -1.3397 -0.411757 -0.036337306 1.43582587

CASOS

ESPECIA

LES

D2668
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D2670
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C2671
estos son datos iniciales?
C2673
esta es igual a la aceleracion del sismo?
G2678
REVIZAR….
B2679
caso de aceleracion promedio
C2679
caso de aceleracion promedio
B2680
este es para el caso de aceleracion promedio
C2680
este es para el caso de aceleracion promedio
B2681
para el caso de aceleracion promedio
C2681
para el caso de aceleracion promedio
A2684
el tiempo lo vamos a variar
B2684
ESTE ES EL DATO QUE VA A VARIAR
D2684
este dato no es igual al de la segunda columna?
C2685
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 88: Hojas de Calculo Fransua

0.4 8.6603 -182.8808071 -3.6603 -4.539531 -0.4006109141 -8.721298030.5 5.0000 8.4548464128 -5.0000 -6.071219 -0.5357814616 6.017887080.6 0.0000 111.90289522 0.0000 0.2541494 0.0224285325 5.14631280.7 0.0000 -8.976639173 0.0000 0.3270093 0.028858371 -5.017716030.8 0.0000 -91.37768151 0.0000 -0.758559 -0.066942385 3.101700920.9 0.0000 153.41169981 0.0000 0.8945566 0.0789440854 -0.18397151

1 0.0000 -157.09113 0.0000 -0.702965 -0.0620362664 -2.635635531.1 0.0000 104.37841948 0.0000 0.2707143 0.0238903762 4.354168381.2 0.0000 -17.29505195 0.0000 0.2340763 0.020657092 -4.418834061.3 0.0000 -71.08162923 0.0000 -0.626787 -0.0553135815 2.899420591.4 0.0000 129.070041 0.0000 0.7732573 0.0682394938 -0.428359081.5 0.0000 -137.6372227 0.0000 -0.634934 -0.0560325819 -2.057082431.6 0.0000 96.495574062 0.0000 0.2772912 0.0244707815 3.66714971.7 0.0000 -23.15258013 0.0000 0.1594355 0.0140700882 -3.875163561.8 0.0000 -54.35069112 0.0000 -0.514602 -0.0454133545 2.685494711.9 0.0000 108.0605853 0.0000 0.6657622 0.0587531133 -0.60216535

2 0.0000 -120.1038924 0.0000 -0.570312 -0.0503297092 -1.57949112.1 0.0000 88.514070468 0.0000 0.2762461 0.0243785513 3.07365632.2 0.0000 -27.0409444 0.0000 0.1001016 0.008833902 -3.384549292.3 0.0000 -40.65004137 0.0000 -0.419503 -0.0370208908 2.467453432.4 0.0000 89.999110023 0.0000 0.5709201 0.0503833557 -0.71936852.5 0.0000 -104.3864801 0.0000 -0.509634 -0.0449749209 -1.187797032.6 0.0000 80.630539516 0.0000 0.2695151 0.0237845481 2.562986412.7 0.0000 -29.37081135 0.0000 0.053509 0.0047221352 -2.944234672.8 0.0000 -29.51388197 0.0000 -0.339247 -0.0299383504 2.251024952.9 0.0000 74.53438105 0.0000 0.4875965 0.0430300947 -0.79165605

3 0.0000 -90.36750209 0.0000 -0.453217 -0.0399961259 -0.868868363.1 0.0000 72.99013489 0.0000 0.2586708 0.0228275411 2.12534173.2 0.0000 -30.48330089 0.0000 0.0174621 0.0015410192 -2.551072143.3 0.0000 -20.53814187 0.0000 -0.271836 -0.0239893588 2.040464583.4 0.0000 61.347433435 0.0000 0.4146935 0.0365964547 -0.828748313.5 0.0000 -77.92239961 0.0000 -0.401205 -0.0354061301 -0.611303393.6 0.0000 65.69633185 0.0000 0.2449793 0.0216192752 1.751811493.7 0.0000 -30.66010196 0.0000 -0.009911 -0.0008746048 -2.20168913.8 0.0000 -13.37367995 0.0000 -0.215496 -0.0190174151 1.838832893.9 0.0000 50.150337745 0.0000 0.3511648 0.0309900809 -0.83868297

4 0.0000 -66.92399716 0.0000 -0.353613 -0.0312061524 -0.40524174.1 0.0000 58.81916325 0.0000 0.2294503 0.0202488502 1.434341754.2 0.0000 -30.13232828 0.0000 -0.030198 -0.0026649126 -1.8926174.3 0.0000 -7.720011808 0.0000 -0.168661 -0.0148842726 1.64822984.4 0.0000 40.68460788 0.0000 0.2960246 0.0261239925 -0.82806454.5 0.0000 -57.24589791 0.0000 -0.310356 -0.0273887078 -0.24218954.6 0.0000 52.402107848 0.0000 0.2128795 0.0187864875 1.165693414.7 0.0000 -29.08823969 0.0000 -0.044741 -0.0039483508 -1.620390174.8 0.0000 -3.31956379 0.0000 -0.129954 -0.0114683324 1.469990544.9 0.0000 32.719374641 0.0000 0.2483542 0.0219171068 -0.80228176

5 0.0000 -48.76500983 0.0000 -0.271276 -0.0239399534 -0.114859445.1 0.0000 46.467820967 0.0000 0.1958853 0.0172867577 0.93939367

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5.2 0.0000 -27.67994765 0.0000 -0.054669 -0.0048245423 -1.381619675.3 0.0000 0.0475543205 0.0000 -0.098166 -0.0086630818 1.304848885.4 0.0000 26.049423208 0.0000 0.2073046 0.018294504 -0.765697165.5 0.0000 -41.36336642 0.0000 -0.236167 -0.0208415832 -0.017024585.6 0.0000 41.022874756 0.0000 0.1789399 0.0157913354 0.749682965.7 0.0000 -26.02921564 0.0000 -0.060928 -0.0053768669 -1.1730475.8 0.0000 2.5682755978 0.0000 -0.072245 -0.0063756006 1.153072335.9 0.0000 20.493170931 0.0000 0.1720974 0.0151874932 -0.72181045

6 0.0000 -34.92937995 0.0000 -0.204787 -0.0180723427 0.056613736.1 0.0000 36.061654628 0.0000 0.1623959 0.0143313391 0.59145996.2 0.0000 -24.23245659 0.0000 -0.064303 -0.005674744 -0.991581566.3 0.0000 4.4008253174 0.0000 -0.051277 -0.0045251489 1.014573476.4 0.0000 15.890643983 0.0000 0.1420239 0.0125335275 -0.673399946.5 0.0000 -29.35864273 0.0000 -0.176876 -0.0156092265 0.110544866.6 0.0000 31.569539848 0.0000 0.1465088 0.0129293117 0.460225916.7 0.0000 -22.36502166 0.0000 -0.065447 -0.005775643 -0.8343256.8 0.0000 5.6785215696 0.0000 -0.034469 -0.0030418475 0.889000916.9 0.0000 12.101496713 0.0000 0.1164428 0.0102760085 -0.62264379

7 0.0000 -24.55437258 0.0000 -0.152164 -0.0134284138 0.148555357.1 0.0000 27.525479502 0.0000 0.1314557 0.0116008882 0.352030697.2 0.0000 -20.48486561 0.0000 -0.064894 -0.0057268461 -0.698585387.3 0.0000 6.513157978 0.0000 -0.021138 -0.0018654561 0.775813187.4 0.0000 9.0031056345 0.0000 0.094777 0.0083640113 -0.571223837.5 0.0000 -20.42758227 0.0000 -0.13038 -0.0115059855 0.17382397.6 0.0000 23.904060177 0.0000 0.1173514 0.0103561932 0.263419687.7 0.0000 -18.63566658 0.0000 -0.063082 -0.0055669877 -0.58188337.8 0.0000 6.9980006003 0.0000 -0.0107 -0.0009442503 0.674338057.9 0.0000 6.4887603524 0.0000 0.0765099 0.0067519565 -0.52041391

8 0.0000 -16.89703858 0.0000 -0.111258 -0.0098184643 0.189005498.1 0.0000 20.677148456 0.0000 0.1042614 0.0092010065 0.191383928.2 0.0000 -16.84946998 0.0000 -0.060367 -0.0053273939 -0.481951938.3 0.0000 7.2104313498 0.0000 -0.002652 -0.000233997 0.583819878.4 0.0000 4.4659660378 0.0000 0.0611817 0.0053992499 -0.471154938.5 0.0000 -13.88906465 0.0000 -0.094541 -0.0083432092 0.196305758.6 0.0000 17.815179603 0.0000 0.0922129 0.0081377295 0.133313038.7 0.0000 -15.14891909 0.0000 -0.057034 -0.0050332426 -0.396732478.8 0.0000 7.2142697638 0.0000 0.0034332 0.0003029735 0.503456798.9 0.0000 2.8548660029 0.0000 0.0483845 0.0042699048 -0.42411816

9 0.0000 -11.33722927 0.0000 -0.079986 -0.0070586928 0.197546219.1 0.0000 15.288153517 0.0000 0.0812037 0.0071661815 0.086951279.2 0.0000 -13.54912804 0.0000 -0.05331 -0.0047045652 -0.324366219.3 0.0000 7.061803883 0.0000 0.0079163 0.0006986046 0.43242969.4 0.0000 1.586788185 0.0000 0.0377584 0.0033321597 -0.37975859.5 0.0000 -9.181958189 0.0000 -0.067362 -0.0059446857 0.194221599.6 0.0000 13.066390015 0.0000 0.0712101 0.0062842522 0.050357179.7 0.0000 -12.05924668 0.0000 -0.049373 -0.0043571073 -0.263184369.8 0.0000 6.7955595445 0.0000 0.0111033 0.000979863 0.369923769.9 0.0000 0.6029157289 0.0000 0.0289872 0.0025581023 -0.33835898

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10 0.0000 -7.370095292 0.0000 -0.056458 -0.0049823658 0.1875496210.1 0.0000 11.121087595 0.0000 0.0621923 0.0054884313 0.0218663310.2 0.0000 -10.68376103 0.0000 -0.045361 -0.0040030657 -0.2116962710.3 0.0000 6.4498356673 0.0000 0.0132512 0.0011694079 0.3151457410.4 0.0000 -0.146920864 0.0000 0.021794 0.0019233032 -0.3000678310.5 0.0000 -5.854435822 0.0000 -0.047075 -0.0041543706 0.1785143610.6 0.0000 9.4247229944 0.0000 0.0540994 0.0047742358 5.77695E-0510.7 0.0000 -9.423567604 0.0000 -0.04138 -0.0036517166 -0.1685768210.8 0.0000 6.0520312229 0.0000 0.0145744 0.0012861841 0.2673348310.9 0.0000 -0.705334532 0.0000 0.0159374 0.001406468 -0.26492916

11 0.0000 -4.593248617 0.0000 -0.039035 -0.0034448041 0.1679037111.1 0.0000 7.9513229088 0.0000 0.0468734 0.0041365506 -0.0162766211.2 0.0000 -8.276855299 0.0000 -0.037507 -0.0033099496 -0.1326533811.3 0.0000 5.6237876202 0.0000 0.0152516 0.001345947 0.2257713211.4 0.0000 -1.108361301 0.0000 0.0112081 0.0009891085 -0.2329080911.5 0.0000 -3.549800435 0.0000 -0.032173 -0.0028392117 0.1563416811.6 0.0000 6.6766341153 0.0000 0.0404524 0.0035698973 -0.028159511.7 0.0000 -7.239824208 0.0000 -0.033799 -0.0029827178 -0.102892811.8 0.0000 5.1819682488 0.0000 0.0154304 0.0013617239 0.1897816311.9 0.0000 -1.386335586 0.0000 0.0074248 0.0006552364 -0.20391138

12 0.0000 -2.691892105 0.0000 -0.02634 -0.0023245285 0.1443160912.1 0.0000 5.5782138468 0.0000 0.0347724 0.0030686436 -0.0364526512.2 0.0000 -6.307266753 0.0000 -0.030294 -0.0026734181 -0.0783885912.3 0.0000 4.7394949733 0.0000 0.015232 0.0013442186 0.1587413212.4 0.0000 -1.564668506 0.0000 0.0044315 0.0003910798 -0.177804112.5 0.0000 -1.99141349 0.0000 -0.021405 -0.0018890127 0.1322022512.6 0.0000 4.6354584933 0.0000 0.0297698 0.0026271629 -0.0418787412.7 0.0000 -5.473033238 0.0000 -0.027017 -0.0023842083 -0.0583486912.8 0.0000 4.3060594825 0.0000 0.0147555 0.001302164 0.1320761312.9 0.0000 -1.664536802 0.0000 0.0020943 0.0001848233 -0.15442295

13 0.0000 -1.423922144 0.0000 -0.017248 -0.0015221656 0.1202831713.1 0.0000 3.8295854946 0.0000 0.0253821 0.0022399545 -0.0450407713.2 0.0000 -4.730400805 0.0000 -0.023981 -0.0021162718 -0.0420837613.3 0.0000 3.8887255946 0.0000 0.0140809 0.0012426292 0.1092617813.4 0.0000 -1.703489961 0.0000 0.0002988 2.6371448E-05 -0.1335869413.5 0.0000 -0.968248782 0.0000 -0.013764 -0.0012146459 0.1087665913.6 0.0000 3.1435805684 0.0000 0.0215495 0.0019017297 -0.0464390813.7 0.0000 -4.072362091 0.0000 -0.02119 -0.001870037 -0.0289962613.8 0.0000 3.4924369288 0.0000 0.0132724 0.0011712849 0.089822713.9 0.0000 -1.695983021 0.0000 -0.001052 -9.286622E-05 -0.11510572

14 0.0000 -0.606131323 0.0000 -0.010858 -0.0009581801 0.0977994414.1 0.0000 2.5621201125 0.0000 0.0182151 0.0016074733 -0.0464863714.2 0.0000 -3.491847547 0.0000 -0.018644 -0.0016453573 -0.0185702414.3 0.0000 3.1204427694 0.0000 0.0123812 0.0010926322 0.0733300314.4 0.0000 -1.653842229 0.0000 -0.002042 -0.0001801676 -0.0987860214.5 0.0000 -0.321878209 0.0000 -0.008447 -0.0007454725 0.0874799214.6 0.0000 2.071476684 0.0000 0.0153257 0.0013524822 -0.0455208314.7 0.0000 -2.981893274 0.0000 -0.016336 -0.0014416587 -0.01036199

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14.8 0.0000 2.7746534926 0.0000 0.0114471 0.0010101996 0.0593991514.9 0.0000 -1.586670403 0.0000 -0.002739 -0.000241671 -0.08443657

15 0.0000 -0.102060912 0.0000 -0.00646 -0.000570117 0.0778676515.1 0.0000 1.6594138415 0.0000 0.0128317 0.0011323888 -0.0438175315.2 0.0000 -2.535764445 0.0000 -0.014256 -0.0012580598 -0.0039914415.3 0.0000 2.4559355879 0.0000 0.010501 0.0009267111 0.0476868615.4 0.0000 -1.502198386 0.0000 -0.003201 -0.0002825292 -0.0718716615.5 0.0000 0.0647650909 0.0000 -0.004833 -0.0004265115 0.0689920215.6 0.0000 1.3150752832 0.0000 0.0106876 0.0009431706 -0.0415983815.7 0.0000 -2.147042813 0.0000 -0.012391 -0.0010934675 0.0008656115.8 0.0000 2.1643550857 0.0000 0.0095664 0.0008442295 0.0378883315.9 0.0000 -1.406588572 0.0000 -0.003479 -0.0003070457 -0.06091383

16 0.0000 0.1883120105 0.0000 -0.00351 -0.0003097768 0.0608592116.1 0.0000 1.0288721017 0.0000 0.0088516 0.0007811502 -0.0390406716.2 0.0000 -1.809685428 0.0000 -0.010727 -0.000946654 0.0044845816.3 0.0000 1.8993771048 0.0000 0.0086604 0.000764278 0.0297340516.4 0.0000 -1.304696008 0.0000 -0.003612 -0.0003187954 -0.0513955216.5 0.0000 0.2767855416 0.0000 -0.002444 -0.0002156801 0.0534578316.6 0.0000 0.7923710548 0.0000 0.007286 0.0006429877 -0.0362844716.7 0.0000 -1.518060529 0.0000 -0.00925 -0.0008163167 0.0070983916.8 0.0000 1.660028239 0.0000 0.0077954 0.000687943 0.0229868116.9 0.0000 -1.200292077 0.0000 -0.003634 -0.0003207308 -0.04316028

17 0.0000 0.337086413 0.0000 -0.001593 -0.0001405639 0.0467636217.1 0.0000 0.5981860043 0.0000 0.0059566 0.0005256682 -0.0334389817.2 0.0000 -1.266965576 0.0000 -0.007945 -0.0007011256 0.008903117.3 0.0000 1.4450276155 0.0000 0.0069798 0.0006159601 0.0174386117.4 0.0000 -1.09625537 0.0000 -0.003573 -0.0003152741 -0.036063317.5 0.0000 0.3749894323 0.0000 -0.000921 -8.128025E-05 0.0407431717.6 0.0000 0.4398740637 0.0000 0.0048327 0.0004264849 -0.0305878717.7 0.0000 -1.051631507 0.0000 -0.006796 -0.0005997583 0.0100630117.8 0.0000 1.2528916707 0.0000 0.0062186 0.0005487866 0.0129078917.9 0.0000 -0.994733849 0.0000 -0.003449 -0.0003043989 -0.0299716

18 0.0000 0.3953018219 0.0000 -0.000398 -3.51306E-05 0.0353569718.1 0.0000 0.3118375092 0.0000 0.0038869 0.00034302 -0.0277939518.2 0.0000 -0.8677166 0.0000 -0.00579 -0.0005109268 0.0107150218.3 0.0000 1.0820169833 0.0000 0.0055146 0.0004866616 0.0092367518.4 0.0000 -0.897282036 0.0000 -0.003283 -0.0002896996 -0.0247639718.5 0.0000 0.4020026372 0.0000 2.14E-06 1.8882592E-07 0.0305617418.6 0.0000 0.20923212 0.0000 0.0030949 0.0002731244 -0.0251030318.7 0.0000 -0.711292664 0.0000 -0.004911 -0.0004333964 0.0109726118.8 0.0000 0.9307448928 0.0000 0.0048686 0.000429655 0.0062884218.9 0.0000 -0.804976534 0.0000 -0.003087 -0.0002724529 -0.02033058

19 0.0000 0.3983650131 0.0000 0.0003018 2.6636639E-05 0.0263123719.1 0.0000 0.1278823062 0.0000 0.0024351 0.0002148962 -0.0225471719.2 0.0000 -0.578825802 0.0000 -0.004147 -0.0003659993 0.0109292619.3 0.0000 0.7974110824 0.0000 0.00428 0.0003777095 0.0039449119.4 0.0000 -0.718512832 0.0000 -0.002874 -0.0002536697 -0.016572519.5 0.0000 0.3870629193 0.0000 0.0005198 4.5870723E-05 0.0225633

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19.6 0.0000 0.0642031474 0.0000 0.0018885 0.00016666 -0.0201475219.7 0.0000 -0.467153509 0.0000 -0.003486 -0.0003076426 0.0106614719.8 0.0000 0.6803828366 0.0000 0.003747 0.0003306728 0.0021048419.9 0.0000 -0.638286017 0.0000 -0.002653 -0.0002341402 -0.0134011

20 0.0000 0.370264014 0.0000 0.0006718 5.9288053E-05 0.01926967

Masa M 0.4965Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.2228

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 1.1 MAX Uivelocidad inicial Ůo 1.2 MAX U´iaceleracion inicial ϋ o 1.3 MAX U´´i

periodo de la estru T 1.4

CALCULOS INICIALES WnÜo 10.052472386 TnΔt 10.058109271 estabilidad^K 10.06 10.1 NO ESTABLEa 0.64 0.96b 0.99 1.5006

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.052472386 5.0000 5.210709 0.4598419484 6.796838970.1 5.0000 125.88430696 3.6603 5.3627879 0.4732628148 -6.528421640.2 8.6603 -256.4527397 1.3397 0.2360642 0.0208325209 -2.520184240.3 10.0000 206.04905488 -1.3397 -0.435934 -0.0384709411 1.3341150.4 8.6603 -179.3667548 -3.6603 -4.531341 -0.39988816 -8.562459380.5 5.0000 8.1175672183 -5.0000 -6.061391 -0.5349140987 5.861940610.6 0.0000 109.12124491 0.0000 0.23083 0.0203706096 5.243753560.7 0.0000 -4.246173727 0.0000 0.3547211 0.0313039271 -5.025087210.8 0.0000 -96.25557045 0.0000 -0.780505 -0.0688791157 3.021426350.9 0.0000 156.68409747 0.0000 0.9032116 0.0797078835 -0.04968637

1 0.0000 -157.6778248 0.0000 -0.69598 -0.0614198476 -2.772868251.1 0.0000 102.22045971 0.0000 0.2514663 0.0221917521 4.445100251.2 0.0000 -13.3184547 0.0000 0.2580141 0.0227695894 -4.43354351.3 0.0000 -75.35241538 0.0000 -0.64659 -0.0570611417 2.836928881.4 0.0000 132.090993 0.0000 0.7820743 0.0690175847 -0.315354351.5 0.0000 -138.3980801 0.0000 -0.63023 -0.0556173765 -2.177344871.6 0.0000 94.851182664 0.0000 0.2615069 0.0230778237 3.751248871.7 0.0000 -19.82620521 0.0000 0.1800314 0.0158876598 -3.895052151.8 0.0000 -58.07483777 0.0000 -0.532373 -0.0469816095 2.637666761.9 0.0000 110.82817303 0.0000 0.6745106 0.0595251544 -0.50753149

2 0.0000 -120.9788028 0.0000 -0.567416 -0.0500741394 -1.684454392.1 0.0000 87.289714982 0.0000 0.2633957 0.0232445106 3.15082739

CASOS

ESPECIA

LES

D2890
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D2892
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C2893
estos son datos iniciales?
C2895
esta es igual a la aceleracion del sismo?
G2900
REVIZAR….
B2901
caso de aceleracion promedio
C2901
caso de aceleracion promedio
B2902
este es para el caso de aceleracion promedio
C2902
este es para el caso de aceleracion promedio
B2903
para el caso de aceleracion promedio
C2903
para el caso de aceleracion promedio
A2906
el tiempo lo vamos a variar
B2906
ESTE ES EL DATO QUE VA A VARIAR
D2906
este dato no es igual al de la segunda columna?
C2907
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 93: Hojas de Calculo Fransua

2.2 0.0000 -24.27316718 0.0000 0.117751 0.0103914574 -3.407888462.3 0.0000 -43.88460192 0.0000 -0.435369 -0.0384210899 2.431637512.4 0.0000 92.517352116 0.0000 0.5794288 0.051134242 -0.640530872.5 0.0000 -105.3279696 0.0000 -0.508155 -0.0448444105 -1.279042182.6 0.0000 79.747126027 0.0000 0.2591387 0.0228688377 2.633307142.7 0.0000 -27.08098319 0.0000 0.0685718 0.0060514179 -2.969655542.8 0.0000 -32.31212755 0.0000 -0.353346 -0.0311825373 2.224976432.9 0.0000 76.811656198 0.0000 0.4957424 0.043748969 -0.72634631

3 0.0000 -91.33858231 0.0000 -0.452831 -0.0399620868 -0.947874813.1 0.0000 72.381086069 0.0000 0.2503707 0.0220950628 2.18901783.2 0.0000 -28.60072998 0.0000 0.0302633 0.0026707184 -2.577504693.3 0.0000 -22.94936388 0.0000 -0.284307 -0.0250899127 2.022292073.4 0.0000 63.395205314 0.0000 0.4223924 0.0372758752 -0.774976313.5 0.0000 -78.89473161 0.0000 -0.401647 -0.0354450745 -0.679442683.6 0.0000 65.305878019 0.0000 0.2384129 0.0210397975 1.809140123.7 0.0000 -29.12307564 0.0000 0.0009212 8.1294551E-05 -2.228310183.8 0.0000 -15.4431279 0.0000 -0.22648 -0.0199867 1.826950293.9 0.0000 51.982133638 0.0000 0.358363 0.0316253235 -0.79470982

4 0.0000 -67.87633001 0.0000 -0.354664 -0.031298918 -0.463775014.1 0.0000 58.60082979 0.0000 0.2243238 0.0197964371 1.485682114.2 0.0000 -28.88718752 0.0000 -0.021074 -0.0018597604 -1.918806064.3 0.0000 -9.488933756 0.0000 -0.178294 -0.0157343747 1.641313784.4 0.0000 42.315209294 0.0000 0.3026929 0.0267124705 -0.792376874.5 0.0000 -58.16274672 0.0000 -0.311841 -0.0275197843 -0.292268224.6 0.0000 52.317382227 0.0000 0.2089417 0.0184389789 1.211443494.7 0.0000 -28.08851248 0.0000 -0.037093 -0.003273435 -1.645691764.8 0.0000 -4.825322804 0.0000 -0.138368 -0.0122108699 1.466943074.9 0.0000 34.164184135 0.0000 0.2544821 0.02245789 -0.77356787

5 0.0000 -49.63554152 0.0000 -0.273055 -0.0240968998 -0.157527935.1 0.0000 46.484982988 0.0000 0.1929225 0.0170252982 0.979971895.2 0.0000 -26.88554525 0.0000 -0.048292 -0.0042616974 -1.40571185.3 0.0000 -1.228690722 0.0000 -0.105486 -0.0093090721 1.30476435.4 0.0000 27.32397681 0.0000 0.2128958 0.0187879226 -0.742824415.5 0.0000 -42.18046505 0.0000 -0.238127 -0.0210145251 -0.053224545.6 0.0000 41.115974235 0.0000 0.1767712 0.0155999507 0.785514065.7 0.0000 -25.4056931 0.0000 -0.055639 -0.0049100749 -1.195714575.8 0.0000 1.4914017285 0.0000 -0.078588 -0.0069353737 1.155208595.9 0.0000 21.612770102 0.0000 0.1771662 0.0156348143 -0.70380483

6 0.0000 -35.68886671 0.0000 -0.20684 -0.0182535402 0.026037746.1 0.0000 36.209621505 0.0000 0.1608686 0.0141965567 0.62296426.2 0.0000 -23.75033754 0.0000 -0.059943 -0.0052899403 -1.012694146.3 0.0000 3.4964547481 0.0000 -0.056752 -0.0050082979 1.018326996.4 0.0000 16.870085031 0.0000 0.1465924 0.0129366929 -0.659427176.5 0.0000 -30.05862849 0.0000 -0.178955 -0.0157927053 0.084839216.6 0.0000 31.755412637 0.0000 0.1454947 0.0128398229 0.487811366.7 0.0000 -21.9991855 0.0000 -0.061876 -0.0054605289 -0.853818396.8 0.0000 4.9228176574 0.0000 -0.039175 -0.0034572068 0.893884836.9 0.0000 12.954879019 0.0000 0.1205382 0.0106374232 -0.61199223

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7 0.0000 -25.19472371 0.0000 -0.154218 -0.0136096504 0.127050767.1 0.0000 27.735738983 0.0000 0.1308479 0.0115472481 0.376087217.2 0.0000 -20.21399486 0.0000 -0.061991 -0.0054707099 -0.716446377.3 0.0000 5.8850675279 0.0000 -0.025168 -0.0022211018 0.781438537.4 0.0000 9.743703038 0.0000 0.0984298 0.0086863752 -0.563288997.5 0.0000 -21.00948277 0.0000 -0.132371 -0.0116816404 0.155928677.6 0.0000 24.128056259 0.0000 0.1170609 0.0103305564 0.284315267.7 0.0000 -18.44175104 0.0000 -0.060743 -0.0053605373 -0.598137137.8 0.0000 6.4790083586 0.0000 -0.014136 -0.0012475166 0.680397557.9 0.0000 7.1289425963 0.0000 0.0797528 0.0070381329 -0.51468456

8 0.0000 -17.42263377 0.0000 -0.113158 -0.0099861566 0.174198778.1 0.0000 20.906609155 0.0000 0.1042148 0.0091968943 0.209462258.2 0.0000 -16.7173642 0.0000 -0.0585 -0.0051626001 -0.496652148.3 0.0000 6.7843214885 0.0000 -0.005569 -0.0004915046 0.590074048.4 0.0000 5.0171594091 0.0000 0.0640476 0.0056521621 -0.467200718.5 0.0000 -14.36117361 0.0000 -0.096333 -0.0085013272 0.184130928.6 0.0000 18.043792092 0.0000 0.0923499 0.0081498262 0.148892148.7 0.0000 -15.06594921 0.0000 -0.055561 -0.0049031952 -0.409952578.8 0.0000 6.866897736 0.0000 0.0009664 8.5280822E-05 0.50972218.9 0.0000 3.3275441674 0.0000 0.0509064 0.0044924585 -0.42157854

9 0.0000 -11.759115 0.0000 -0.081658 -0.0072062356 0.187604669.1 0.0000 15.511208176 0.0000 0.0814754 0.0071901573 0.10032329.2 0.0000 -13.50474419 0.0000 -0.052163 -0.0046033408 -0.336193169.3 0.0000 6.7808809583 0.0000 0.0058405 0.0005154181 0.438568349.4 0.0000 1.990485836 0.0000 0.0399684 0.003527185 -0.3783339.5 0.0000 -9.557145875 0.0000 -0.068908 -0.0060811315 0.186166679.6 0.0000 13.280479329 0.0000 0.0715768 0.0063166083 0.061788129.7 0.0000 -12.04471687 0.0000 -0.048495 -0.004279649 -0.273713279.8 0.0000 6.5704514803 0.0000 0.0093651 0.0008264638 0.375835539.9 0.0000 0.9462590277 0.0000 0.0309159 0.0027283111 -0.3377985810 0.0000 -7.702230587 0.0000 -0.057876 -0.0051075627 0.1810811

10.1 0.0000 11.323852609 0.0000 0.0626221 0.005526367 0.0315974910.2 0.0000 -10.69190275 0.0000 -0.044704 -0.0039450745 -0.2210263210.3 0.0000 6.2713763021 0.0000 0.0118031 0.0010416204 0.3207602210.4 0.0000 0.1438280724 0.0000 0.0234705 0.0020712612 -0.300167410.5 0.0000 -6.147176098 0.0000 -0.048368 -0.004268447 0.1733732410.6 0.0000 9.6146408505 0.0000 0.0545673 0.0048155334 0.0083063710.7 0.0000 -9.448513463 0.0000 -0.040902 -0.0036095536 -0.1768081110.8 0.0000 5.9123512588 0.0000 0.0133749 0.0011803296 0.2726057710.9 0.0000 -0.460235764 0.0000 0.0173891 0.0015345757 -0.26552085

11 0.0000 -4.850181266 0.0000 -0.040205 -0.0035480957 0.1638674211.1 0.0000 8.1275297179 0.0000 0.0473598 0.0041794768 -0.0093159711.2 0.0000 -8.313849187 0.0000 -0.037174 -0.0032805487 -0.1398845411.3 0.0000 5.5161584679 0.0000 0.0142641 0.0012587981 0.2306714711.4 0.0000 -0.902729009 0.0000 0.01246 0.0010995913 -0.2338556111.5 0.0000 -3.7743832 0.0000 -0.033226 -0.002932202 0.1532197511.6 0.0000 6.8387781146 0.0000 0.0409421 0.0036131189 -0.0223133311.7 0.0000 -7.285044693 0.0000 -0.033581 -0.002963508 -0.10921921

Page 95: Hojas de Calculo Fransua

11.8 0.0000 5.1006605158 0.0000 0.0146229 0.0012904609 0.1942985911.9 0.0000 -1.21468879 0.0000 0.0085002 0.0007501403 -0.205105

12 0.0000 -2.887411172 0.0000 -0.027284 -0.0024078016 0.1419461612.1 0.0000 5.7263343959 0.0000 0.0352541 0.0031111557 -0.0315670212.2 0.0000 -6.3576747 0.0000 -0.030167 -0.0026622544 -0.0839011912.3 0.0000 4.6796509662 0.0000 0.0145767 0.0012863874 0.1628740212.4 0.0000 -1.422170532 0.0000 0.0053516 0.0004722726 -0.1791563212.5 0.0000 -2.160955804 0.0000 -0.022246 -0.0019632151 0.1304465612.6 0.0000 4.7698870283 0.0000 0.0302351 0.0026682284 -0.0378176912.7 0.0000 -5.526240841 0.0000 -0.026961 -0.0023793109 -0.0631330912.8 0.0000 4.2635789495 0.0000 0.0142283 0.0012556376 0.1358320612.9 0.0000 -1.546937662 0.0000 0.0028782 0.0002539993 -0.15586483

13 0.0000 -1.570358961 0.0000 -0.017994 -0.001587977 0.1190253113.1 0.0000 3.950865061 0.0000 0.0258251 0.0022790522 -0.0416847213.2 0.0000 -4.784559475 0.0000 -0.023979 -0.0021161729 -0.0462197813.3 0.0000 3.8601638453 0.0000 0.013661 0.0012055712 0.1126546613.4 0.0000 -1.607070568 0.0000 0.0009638 8.5057969E-05 -0.1350649313.5 0.0000 -1.094227997 0.0000 -0.014422 -0.0012727559 0.1079086513.6 0.0000 3.2524009998 0.0000 0.0219663 0.0019385119 -0.0436832913.7 0.0000 -4.12606688 0.0000 -0.02123 -0.001873534 -0.0325576213.8 0.0000 3.4749144165 0.0000 0.0129419 0.001142116 0.0928706213.9 0.0000 -1.617501976 0.0000 -0.000491 -4.329922E-05 -0.11657893

14 0.0000 -0.714076533 0.0000 -0.011437 -0.001009271 0.0972594914.1 0.0000 2.659266323 0.0000 0.0186033 0.0016417292 -0.0442394814.2 0.0000 -3.544056016 0.0000 -0.018714 -0.001651472 -0.0216245414.3 0.0000 3.1115652057 0.0000 0.0121247 0.0010699997 0.0760539814.4 0.0000 -1.590485688 0.0000 -0.001569 -0.0001384978 -0.1002239314.5 0.0000 -0.413992841 0.0000 -0.008954 -0.0007902065 0.0871897514.6 0.0000 2.1577878957 0.0000 0.0156841 0.0013841086 -0.0437034514.7 0.0000 -3.031856925 0.0000 -0.016426 -0.0014496024 -0.0129707714.8 0.0000 2.7724415699 0.0000 0.0112516 0.0009929499 0.0618218114.9 0.0000 -1.536005319 0.0000 -0.002344 -0.0002068129 -0.08581707

15 0.0000 -0.180336055 0.0000 -0.006902 -0.0006091268 0.0777707915.1 0.0000 1.7357518789 0.0000 0.01316 0.0011613649 -0.0423609615.2 0.0000 -2.582971041 0.0000 -0.014359 -0.0012672021 -0.0062103815.3 0.0000 2.4587634105 0.0000 0.0103555 0.0009138641 0.0498317115.4 0.0000 -1.46212929 0.0000 -0.002873 -0.0002535232 -0.0731794515.5 0.0000 -0.001459751 0.0000 -0.005217 -0.0004603943 0.0690420315.6 0.0000 1.3823003414 0.0000 0.0109863 0.0009695378 -0.0404433915.7 0.0000 -2.191168089 0.0000 -0.012502 -0.0011033107 -0.0010135815.8 0.0000 2.1708964492 0.0000 0.0094613 0.0008349565 0.0397789315.9 0.0000 -1.375317944 0.0000 -0.003207 -0.0002830471 -0.062139

16 0.0000 0.1325380135 0.0000 -0.003842 -0.0003390903 0.0610181316.1 0.0000 1.0878246333 0.0000 0.0091218 0.0008049957 -0.0381364116.2 0.0000 -1.850552878 0.0000 -0.010842 -0.0009568101 0.002900316.3 0.0000 1.9085588096 0.0000 0.0085879 0.0007578813 0.0313935316.4 0.0000 -1.280688173 0.0000 -0.003389 -0.0002990638 -0.0525324316.5 0.0000 0.230039474 0.0000 -0.00273 -0.0002409403 0.05369491

Page 96: Hojas de Calculo Fransua

16.6 0.0000 0.84385863 0.0000 0.007529 0.0006644313 -0.0355874716.7 0.0000 -1.555608112 0.0000 -0.009365 -0.0008264885 0.0057690816.8 0.0000 1.6709896777 0.0000 0.0077489 0.0006838382 0.0244374616.9 0.0000 -1.182240533 0.0000 -0.003452 -0.0003046197 -0.04420662

17 0.0000 0.2981082133 0.0000 -0.001838 -0.0001622445 0.0470541217.1 0.0000 0.6429741773 0.0000 0.006174 0.0005448511 -0.0329122117.2 0.0000 -1.301218312 0.0000 -0.008058 -0.0007110902 0.0077933817.3 0.0000 1.4570859292 0.0000 0.0069537 0.0006136602 0.0187016317.4 0.0000 -1.08305338 0.0000 -0.003425 -0.0003022215 -0.0370192617.5 0.0000 0.3426681382 0.0000 -0.001131 -9.981316E-05 0.0410674317.6 0.0000 0.4786804372 0.0000 0.0050262 0.0004435617 -0.0301999317.7 0.0000 -1.08267908 0.0000 -0.006905 -0.0006093531 0.0091416417.8 0.0000 1.2655118256 0.0000 0.0062084 0.0005478881 0.0140031917.9 0.0000 -0.985448121 0.0000 -0.003331 -0.0002939178 -0.0308393

18 0.0000 0.3686620582 0.0000 -0.000577 -5.090704E-05 0.0356995218.1 0.0000 0.3453283222 0.0000 0.0040584 0.0003581517 -0.0275183418.2 0.0000 -0.895695192 0.0000 -0.005893 -0.000520038 0.0099545518.3 0.0000 1.0947861772 0.0000 0.0055165 0.0004868318 0.0101828518.4 0.0000 -0.891129269 0.0000 -0.003188 -0.0002813702 -0.0255468818.5 0.0000 0.3801915762 0.0000 -0.000149 -1.31835E-05 0.0309106218.6 0.0000 0.2380207976 0.0000 0.0032462 0.0002864736 -0.0249174818.7 0.0000 -0.736370349 0.0000 -0.005008 -0.0004419493 0.0103490218.8 0.0000 0.9433507554 0.0000 0.0048796 0.000430622 0.0071024118.9 0.0000 -0.801302627 0.0000 -0.003013 -0.0002659143 -0.02103313

19 0.0000 0.3806399707 0.0000 0.000174 1.5352775E-05 0.0266584719.1 0.0000 0.1525295107 0.0000 0.002568 0.000226623 -0.0224330719.2 0.0000 -0.60119092 0.0000 -0.004237 -0.0003739499 0.0104216119.3 0.0000 0.8096231863 0.0000 0.0042975 0.0003792524 0.0046424319.4 0.0000 -0.716774533 0.0000 -0.002817 -0.0002486131 -0.0171997419.5 0.0000 0.3727796931 0.0000 0.0004124 3.6393945E-05 0.0228998819.6 0.0000 0.0852179531 0.0000 0.0020048 0.0001769191 -0.0200893819.7 0.0000 -0.487005522 0.0000 -0.003569 -0.0003149709 0.0102515819.8 0.0000 0.6920370857 0.0000 0.003769 0.0003326138 0.0027001119.9 0.0000 -0.638034789 0.0000 -0.00261 -0.0002303024 -0.01395844

20 0.0000 0.3588660291 0.0000 0.0005821 5.1368718E-05 0.01959186

Masa M 0.5699Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.2387

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 1.2 MAX Uivelocidad inicial Ůo 1.3 MAX U´iaceleracion inicial ϋ o 1.4 MAX U´´i

periodo de la estru T 1.5

CALCULOS INICIALES Wn

CASOS

ESPECIA

LES

D3112
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D3114
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C3115
estos son datos iniciales?
C3117
esta es igual a la aceleracion del sismo?
Page 97: Hojas de Calculo Fransua

Üo 10.058109271 TnΔt 10.063936076 estabilidad^K 10.07 10.1 NO ESTABLEa 0.70 1.06b 1.14 1.7217

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.058109271 5.0000 5.2240528 0.4610195284 6.620390570.1 5.0000 122.34970209 3.6603 5.3347021 0.4707842609 -6.425095920.2 8.6603 -250.8516205 1.3397 0.2680185 0.0236524753 -2.517539790.3 10.0000 200.50082461 -1.3397 -0.460111 -0.040604527 1.232399750.4 8.6603 -175.8528297 -3.6603 -4.523152 -0.3991654827 -8.403618860.5 5.0000 7.7804524777 -5.0000 -6.051561 -0.5340466603 5.705995310.6 0.0000 106.33945372 0.0000 0.2075101 0.0183126395 5.341190680.7 0.0000 0.4843599703 0.0000 0.382433 0.033749487 -5.032453740.8 0.0000 -101.1334347 0.0000 -0.802451 -0.0708158077 2.941147840.9 0.0000 159.9563915 0.0000 0.9118659 0.0804716166 0.08460065

1 0.0000 -158.2643786 0.0000 -0.688995 -0.0608033625 -2.910100231.1 0.0000 100.06237404 0.0000 0.2322178 0.0204930841 4.536029161.2 0.0000 -9.34179086 0.0000 0.281952 0.0248820941 -4.448248961.3 0.0000 -79.62318834 0.0000 -0.666392 -0.0588086718 2.774433641.4 0.0000 135.11186121 0.0000 0.7908906 0.0697956209 -0.202347791.5 0.0000 -139.158817 0.0000 -0.625524 -0.0552021129 -2.297606891.6 0.0000 93.206679308 0.0000 0.2457221 0.0216848251 3.835345651.7 0.0000 -16.49976639 0.0000 0.2006273 0.0177052412 -3.914937331.8 0.0000 -61.79898012 0.0000 -0.550144 -0.0485498414 2.589835681.9 0.0000 113.59569363 0.0000 0.6832585 0.0602971497 -0.41289585

2 0.0000 -121.8536107 0.0000 -0.56452 -0.0498185189 -1.789417522.1 0.0000 86.065260387 0.0000 0.2505448 0.0221104327 3.227996552.2 0.0000 -21.50532945 0.0000 0.1354006 0.0119490241 -3.431224722.3 0.0000 -47.11916493 0.0000 -0.451236 -0.0398212717 2.39581882.4 0.0000 95.035540986 0.0000 0.587937 0.0518850901 -0.561691572.5 0.0000 -106.2693723 0.0000 -0.506676 -0.044713856 -1.370287362.6 0.0000 78.863625187 0.0000 0.248762 0.0219530932 2.703626342.7 0.0000 -24.79109835 0.0000 0.0836347 0.007380713 -2.995073952.8 0.0000 -35.11038059 0.0000 -0.367444 -0.0324267116 2.198925452.9 0.0000 79.08888969 0.0000 0.503888 0.0444678118 -0.66103499

3 0.0000 -92.30958941 0.0000 -0.452445 -0.0399280096 -1.026881443.1 0.0000 71.771960583 0.0000 0.2420702 0.0213625536 2.252692713.2 0.0000 -26.71810647 0.0000 0.0430647 0.0038004304 -2.603935173.3 0.0000 -25.36059695 0.0000 -0.296778 -0.0261904578 2.004117413.4 0.0000 65.442945098 0.0000 0.430091 0.0379552697 -0.721202863.5 0.0000 -79.86700226 0.0000 -0.402088 -0.035483986 -0.747582253.6 0.0000 64.915357177 0.0000 0.2318462 0.0204602919 1.866467813.7 0.0000 -27.58600093 0.0000 0.0117531 0.0010372068 -2.254929513.8 0.0000 -17.51258936 0.0000 -0.237463 -0.0209559791 1.81506583.9 0.0000 53.813905287 0.0000 0.3655611 0.0322605448 -0.75073532

G3122
REVIZAR….
B3123
caso de aceleracion promedio
C3123
caso de aceleracion promedio
B3124
este es para el caso de aceleracion promedio
C3124
este es para el caso de aceleracion promedio
B3125
para el caso de aceleracion promedio
C3125
para el caso de aceleracion promedio
A3128
el tiempo lo vamos a variar
B3128
ESTE ES EL DATO QUE VA A VARIAR
D3128
este dato no es igual al de la segunda columna?
C3129
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 98: Hojas de Calculo Fransua

4 0.0000 -68.82861165 0.0000 -0.355715 -0.0313916552 -0.522308684.1 0.0000 58.382437993 0.0000 0.2191969 0.0193439992 1.537021774.2 0.0000 -27.64200256 0.0000 -0.01195 -0.0010545955 -1.944993674.3 0.0000 -11.25787076 0.0000 -0.187927 -0.0165844735 1.634396114.4 0.0000 43.945792867 0.0000 0.3093611 0.0273009313 -0.756688014.5 0.0000 -59.07955302 0.0000 -0.313326 -0.0276508365 -0.342347354.6 0.0000 52.23260602 0.0000 0.2050036 0.0180914481 1.257193044.7 0.0000 -27.08874516 0.0000 -0.029445 -0.0025985069 -1.670992144.8 0.0000 -6.331097707 0.0000 -0.146782 -0.012953406 1.463894164.9 0.0000 35.608980967 0.0000 0.2606098 0.0229986593 -0.74485286

5 0.0000 -50.50603812 0.0000 -0.274833 -0.0242538256 -0.200196845.1 0.0000 46.502101317 0.0000 0.1899596 0.016763819 1.020549735.2 0.0000 -26.09110665 0.0000 -0.041913 -0.0036988407 -1.429802935.3 0.0000 -2.504951934 0.0000 -0.112806 -0.0099550623 1.30467855.4 0.0000 28.598521902 0.0000 0.2184868 0.0192813301 -0.719950655.5 0.0000 -42.99753492 0.0000 -0.240086 -0.0211874494 -0.089424945.6 0.0000 41.209036126 0.0000 0.1746023 0.0154085487 0.82134495.7 0.0000 -24.78213809 0.0000 -0.050349 -0.0044432719 -1.218381315.8 0.0000 0.4145118262 0.0000 -0.084931 -0.0074951479 1.157343795.9 0.0000 22.732364055 0.0000 0.182235 0.0160821268 -0.6857983

6 0.0000 -36.44833006 0.0000 -0.208893 -0.0184347229 -0.004538696.1 0.0000 36.357556175 0.0000 0.1593411 0.0140617591 0.654468336.2 0.0000 -23.2681895 0.0000 -0.055583 -0.0049051265 -1.033806056.3 0.0000 2.5920685937 0.0000 -0.062226 -0.0054914487 1.02207966.4 0.0000 17.849523438 0.0000 0.1511608 0.0133398516 -0.64545366.5 0.0000 -30.75859535 0.0000 -0.181034 -0.0159761717 0.059133136.6 0.0000 31.941257943 0.0000 0.1444805 0.0127503207 0.515396726.7 0.0000 -21.63332359 0.0000 -0.058305 -0.0051454053 -0.873311246.8 0.0000 4.1670988312 0.0000 -0.043882 -0.0038725685 0.898767986.9 0.0000 13.808260673 0.0000 0.1246335 0.0109988326 -0.60133995

7 0.0000 -25.83505973 0.0000 -0.156272 -0.0137908766 0.105545777.1 0.0000 27.945975111 0.0000 0.1302399 0.0114935963 0.400143697.2 0.0000 -19.94310133 0.0000 -0.059089 -0.0052145651 -0.734306927.3 0.0000 5.2569629875 0.0000 -0.029199 -0.0025767503 0.787063217.4 0.0000 10.484301292 0.0000 0.1020827 0.0090087353 -0.55535357.5 0.0000 -21.59137133 0.0000 -0.134361 -0.0118572866 0.138033067.6 0.0000 24.352032584 0.0000 0.1167703 0.0103049094 0.305210867.7 0.0000 -18.24781544 0.0000 -0.058404 -0.005154079 -0.614390627.8 0.0000 5.960002947 0.0000 -0.017573 -0.0015507859 0.686456497.9 0.0000 7.7691267975 0.0000 0.0829955 0.0073243064 -0.50895464

8 0.0000 -17.94821963 0.0000 -0.115058 -0.0101538417 0.159391688.1 0.0000 21.136053215 0.0000 0.1041681 0.0091927733 0.227540628.2 0.0000 -16.58524082 0.0000 -0.056633 -0.0049977992 -0.511352078.3 0.0000 6.3581994302 0.0000 -0.008487 -0.0007490153 0.596327758.4 0.0000 5.5683555247 0.0000 0.0669135 0.0059050724 -0.463245998.5 0.0000 -14.83327541 0.0000 -0.098125 -0.0086594393 0.171955768.6 0.0000 18.272390635 0.0000 0.0924869 0.0081619155 0.164471338.7 0.0000 -14.98296397 0.0000 -0.054087 -0.0047731415 -0.42317247

Page 99: Hojas de Calculo Fransua

8.8 0.0000 6.5195145024 0.0000 -0.0015 -0.0001324149 0.515987018.9 0.0000 3.8002256064 0.0000 0.0534282 0.004715011 -0.41903849

9 0.0000 -12.18099535 0.0000 -0.083329 -0.0073537737 0.177662799.1 0.0000 15.734251207 0.0000 0.081747 0.0072141266 0.113695219.2 0.0000 -13.46034697 0.0000 -0.051016 -0.0045021108 -0.348019969.3 0.0000 6.4999478114 0.0000 0.0037647 0.0003322286 0.444706749.4 0.0000 2.3941870883 0.0000 0.0421783 0.0037222095 -0.376907139.5 0.0000 -9.932329625 0.0000 -0.070455 -0.0062175734 0.178111479.6 0.0000 13.494559001 0.0000 0.0719434 0.0063489588 0.073219189.7 0.0000 -12.03017548 0.0000 -0.047617 -0.0042021857 -0.284242079.8 0.0000 6.3453341507 0.0000 0.0076268 0.0006730616 0.381747019.9 0.0000 1.2896060949 0.0000 0.0328446 0.0028985197 -0.3372378510 0.0000 -8.034363115 0.0000 -0.059295 -0.0052327564 0.17461233

10.1 0.0000 11.526609677 0.0000 0.063052 0.005564298 0.0413287610.2 0.0000 -10.70003447 0.0000 -0.044047 -0.0038870787 -0.2303562910.3 0.0000 6.0929085875 0.0000 0.0103551 0.0009138301 0.3263744710.4 0.0000 0.4345808211 0.0000 0.0251471 0.0022192193 -0.3002666910.5 0.0000 -6.439914539 0.0000 -0.049661 -0.0043825209 0.1682318810.6 0.0000 9.8045522006 0.0000 0.0550352 0.004856827 0.0165550710.7 0.0000 -9.473450733 0.0000 -0.040424 -0.0035673867 -0.1850393510.8 0.0000 5.7726638111 0.0000 0.0121754 0.0010744725 0.2778765310.9 0.0000 -0.215133233 0.0000 0.0188407 0.0016626838 -0.2661123

11 0.0000 -5.107112821 0.0000 -0.041376 -0.0036513853 0.1598309211.1 0.0000 8.3037312401 0.0000 0.0478462 0.0042223995 -0.0023552211.2 0.0000 -8.350835721 0.0000 -0.03684 -0.0032511444 -0.1471156511.3 0.0000 5.4085226416 0.0000 0.0132765 0.0011716469 0.2355714811.4 0.0000 -0.697093071 0.0000 0.013712 0.0012100745 -0.2348029311.5 0.0000 -3.998965447 0.0000 -0.03428 -0.0030251908 0.1500976211.6 0.0000 7.0009178538 0.0000 0.0414319 0.0036563376 -0.0164670511.7 0.0000 -7.330258908 0.0000 -0.033363 -0.0029442951 -0.115545611.8 0.0000 5.019346859 0.0000 0.0138153 0.0012191956 0.1988154211.9 0.0000 -1.043038515 0.0000 0.0095756 0.0008450447 -0.20629843

12 0.0000 -3.082930166 0.0000 -0.028228 -0.0024910735 0.1395760712.1 0.0000 5.8744515456 0.0000 0.0357358 0.0031536655 -0.0266812912.2 0.0000 -6.408077324 0.0000 -0.030041 -0.0026510879 -0.0894137812.3 0.0000 4.6198017245 0.0000 0.0139214 0.0012285542 0.1670066212.4 0.0000 -1.27966928 0.0000 0.0062716 0.0005534661 -0.1805083812.5 0.0000 -2.330498378 0.0000 -0.023087 -0.0020374168 0.1286907312.6 0.0000 4.9043128817 0.0000 0.0307004 0.0027092918 -0.0337565512.7 0.0000 -5.579443945 0.0000 -0.026906 -0.0023744111 -0.0679175112.8 0.0000 4.2210938108 0.0000 0.013701 0.0012091094 0.1395879212.9 0.0000 -1.429335464 0.0000 0.0036621 0.0003231759 -0.15730659

13 0.0000 -1.716796282 0.0000 -0.01874 -0.0016537878 0.1177673113.1 0.0000 4.0721425412 0.0000 0.0262681 0.0023181483 -0.0383285913.2 0.0000 -4.838714359 0.0000 -0.023978 -0.002116072 -0.0503558113.3 0.0000 3.8315980605 0.0000 0.013241 0.0011685115 0.1160474913.4 0.0000 -1.510648347 0.0000 0.0016289 0.0001437452 -0.1365428113.5 0.0000 -1.220207889 0.0000 -0.015081 -0.0013308655 0.1070506

Page 100: Hojas de Calculo Fransua

13.6 0.0000 3.3612198358 0.0000 0.0223831 0.0019752927 -0.0409274313.7 0.0000 -4.179768499 0.0000 -0.02127 -0.0018770293 -0.0361190113.8 0.0000 3.4573883826 0.0000 0.0126114 0.0011129456 0.095918513.9 0.0000 -1.539018337 0.0000 7.103E-05 6.2685041E-06 -0.11805204

14 0.0000 -0.822022534 0.0000 -0.012016 -0.0010603617 0.0967194414.1 0.0000 2.75641134 0.0000 0.0189915 0.0016759841 -0.0419925314.2 0.0000 -3.596261844 0.0000 -0.018783 -0.0016575853 -0.0246788614.3 0.0000 3.1026845812 0.0000 0.0118683 0.001047366 0.0787778914.4 0.0000 -1.527126784 0.0000 -0.001097 -9.682729E-05 -0.1016617614.5 0.0000 -0.506108332 0.0000 -0.009461 -0.0008349403 0.086899514.6 0.0000 2.2440982405 0.0000 0.0160424 0.0014157341 -0.0418860114.7 0.0000 -3.081818389 0.0000 -0.016516 -0.0014575448 -0.0155795714.8 0.0000 2.7702269975 0.0000 0.0110562 0.000975699 0.0642444514.9 0.0000 -1.485338094 0.0000 -0.001949 -0.0001719542 -0.08719751

15 0.0000 -0.258612089 0.0000 -0.007344 -0.0006481366 0.0776738615.1 0.0000 1.8120893127 0.0000 0.0134884 0.0011903402 -0.0409043315.2 0.0000 -2.630175837 0.0000 -0.014463 -0.0012763434 -0.0084293415.3 0.0000 2.4615889483 0.0000 0.0102099 0.0009010161 0.0519765315.4 0.0000 -1.422058268 0.0000 -0.002544 -0.0002245166 -0.0744871915.5 0.0000 -0.067685492 0.0000 -0.005601 -0.0004942772 0.0690919815.6 0.0000 1.4495250062 0.0000 0.0112851 0.0009959044 -0.0392883415.7 0.0000 -2.235291893 0.0000 -0.012614 -0.001113153 -0.002892815.8 0.0000 2.1774358501 0.0000 0.0093562 0.0008256826 0.0416695115.9 0.0000 -1.344045592 0.0000 -0.002935 -0.0002590479 -0.06336412

16 0.0000 0.0767631339 0.0000 -0.004175 -0.0003684039 0.06117716.1 0.0000 1.1467769376 0.0000 0.009392 0.0008288408 -0.0372321116.2 0.0000 -1.891419134 0.0000 -0.010957 -0.0009669654 0.0013159916.3 0.0000 1.9177388355 0.0000 0.0085155 0.0007514839 0.03305316.4 0.0000 -1.256678802 0.0000 -0.003165 -0.0002793316 -0.0536693116.5 0.0000 0.1832925542 0.0000 -0.003016 -0.0002662006 0.0539319316.6 0.0000 0.895346107 0.0000 0.007772 0.0006858745 -0.0348904316.7 0.0000 -1.593154735 0.0000 -0.009481 -0.0008366597 0.0044397516.8 0.0000 1.6819496863 0.0000 0.0077024 0.0006797328 0.025888116.9 0.0000 -1.164187627 0.0000 -0.003269 -0.0002885081 -0.04525292

17 0.0000 0.2591292026 0.0000 -0.002084 -0.0001839253 0.0473445817.1 0.0000 0.6877623508 0.0000 0.0063914 0.0005640338 -0.032385417.2 0.0000 -1.335470283 0.0000 -0.008171 -0.0007210542 0.0066836417.3 0.0000 1.4691430299 0.0000 0.0069276 0.0006113598 0.0199646417.4 0.0000 -1.069850188 0.0000 -0.003277 -0.0002891684 -0.0379752117.5 0.0000 0.3103460815 0.0000 -0.001341 -0.0001183462 0.0413916517.6 0.0000 0.5174868854 0.0000 0.0052197 0.0004606383 -0.0298119617.7 0.0000 -1.113726051 0.0000 -0.007014 -0.0006189474 0.0082202517.8 0.0000 1.2781309561 0.0000 0.0061982 0.0005469889 0.0150984817.9 0.0000 -0.976161335 0.0000 -0.003212 -0.0002834364 -0.03170699

18 0.0000 0.3420215843 0.0000 -0.000756 -6.668365E-05 0.0360420418.1 0.0000 0.3788192638 0.0000 0.0042299 0.0003732833 -0.027242718.2 0.0000 -0.923673317 0.0000 -0.005996 -0.0005291488 0.0091940618.3 0.0000 1.1075545101 0.0000 0.0055185 0.0004870015 0.01112895

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18.4 0.0000 -0.884975576 0.0000 -0.003094 -0.0002730405 -0.0263297918.5 0.0000 0.3583798598 0.0000 -0.000301 -2.655599E-05 0.0312594818.6 0.0000 0.2668096413 0.0000 0.0033974 0.0002998227 -0.024731918.7 0.0000 -0.761447679 0.0000 -0.005105 -0.0004505019 0.0097254118.8 0.0000 0.9559558978 0.0000 0.0048906 0.0004315886 0.007916418.9 0.0000 -0.797627914 0.0000 -0.002939 -0.0002593754 -0.02173568

19 0.0000 0.3629143278 0.0000 4.611E-05 4.0687439E-06 0.0270045619.1 0.0000 0.1771769058 0.0000 0.0027009 0.0002383497 -0.0223189419.2 0.0000 -0.623555773 0.0000 -0.004328 -0.0003819002 0.0099139519.3 0.0000 0.821834691 0.0000 0.004315 0.000380795 0.0053399619.4 0.0000 -0.715035534 0.0000 -0.00276 -0.0002435562 -0.0178269819.5 0.0000 0.3584959207 0.0000 0.000305 2.6917004E-05 0.0232364419.6 0.0000 0.1062329638 0.0000 0.002121 0.0001871783 -0.0200312219.7 0.0000 -0.506857344 0.0000 -0.003652 -0.0003222989 0.0098416719.8 0.0000 0.703690839 0.0000 0.003791 0.0003345545 0.0032953919.9 0.0000 -0.637782955 0.0000 -0.002566 -0.0002264643 -0.01451577

20 0.0000 0.3474675504 0.0000 0.0004923 4.3449228E-05 0.01991404

Masa M 0.6485Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.2546

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 1.3 MAX Uivelocidad inicial Ůo 1.4 MAX U´iaceleracion inicial ϋ o 1.5 MAX U´´i

periodo de la estru T 1.6

CALCULOS INICIALES WnÜo 10.063936076 TnΔt 10.069951675 estabilidad^K 10.08 10.1 NO ESTABLEa 0.77 1.15b 1.30 1.9581

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.063936076 5.0000 5.2373975 0.4621971934 6.443943870.1 5.0000 118.81494128 3.6603 5.3066157 0.4683056572 -6.321774590.2 8.6603 -245.2504331 1.3397 0.2999729 0.0264724286 -2.514889980.3 10.0000 194.95263349 -1.3397 -0.484287 -0.0427380641 1.130680130.4 8.6603 -172.3390309 -3.6603 -4.514964 -0.3984428819 -8.244776480.5 5.0000 7.4435012538 -5.0000 -6.041731 -0.5331791468 5.550051190.6 0.0000 103.55752245 0.0000 0.1841896 0.0162546224 5.43862420.7 0.0000 5.2149615295 0.0000 0.410145 0.0361950504 -5.039815640.8 0.0000 -106.0112743 0.0000 -0.824396 -0.0727524612 2.860865410.9 0.0000 163.22858252 0.0000 0.9205194 0.0812352852 0.21888952

CASOS

ESPECIA

LES

D3334
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D3336
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C3337
estos son datos iniciales?
C3339
esta es igual a la aceleracion del sismo?
G3344
REVIZAR….
B3345
caso de aceleracion promedio
C3345
caso de aceleracion promedio
B3346
este es para el caso de aceleracion promedio
C3346
este es para el caso de aceleracion promedio
B3347
para el caso de aceleracion promedio
C3347
para el caso de aceleracion promedio
A3350
el tiempo lo vamos a variar
B3350
ESTE ES EL DATO QUE VA A VARIAR
D3350
este dato no es igual al de la segunda columna?
C3351
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 102: Hojas de Calculo Fransua

1 0.0000 -158.8507922 0.0000 -0.682008 -0.0601868113 -3.047331451.1 0.0000 97.904163199 0.0000 0.2129688 0.0187943722 4.626955121.2 0.0000 -5.365060813 0.0000 0.30589 0.0269946058 -4.462950451.3 0.0000 -83.89394816 0.0000 -0.686194 -0.0605561718 2.71193491.4 0.0000 138.1326461 0.0000 0.7997063 0.0705736028 -0.089339411.5 0.0000 -139.9194342 0.0000 -0.620818 -0.0547867914 -2.417868481.6 0.0000 91.562064634 0.0000 0.2299368 0.0202917861 3.919440031.7 0.0000 -13.17326403 0.0000 0.2212234 0.0195228321 -3.934819111.8 0.0000 -65.52311819 0.0000 -0.567914 -0.0501180503 2.542001461.9 0.0000 116.36314746 0.0000 0.6920058 0.0610690995 -0.31825847

2 0.0000 -122.7283168 0.0000 -0.561622 -0.0495628478 -1.894380482.1 0.0000 84.840707249 0.0000 0.2376936 0.0209763175 3.305163792.2 0.0000 -18.73743153 0.0000 0.1530504 0.013506602 -3.45455812.3 0.0000 -50.35373037 0.0000 -0.467102 -0.0412214363 2.359997332.4 0.0000 97.553676934 0.0000 0.5964448 0.0526359004 -0.482850592.5 0.0000 -107.2106888 0.0000 -0.505196 -0.0445832576 -1.461532572.6 0.0000 77.980037494 0.0000 0.2383848 0.0210373149 2.773944022.7 0.0000 -22.50115715 0.0000 0.0986978 0.0087100203 -3.020489912.8 0.0000 -37.90864106 0.0000 -0.381542 -0.0336708735 2.172872042.9 0.0000 81.366081763 0.0000 0.5120332 0.0451866232 -0.5957221

3 0.0000 -93.28052381 0.0000 -0.452059 -0.0398938943 -1.105888253.1 0.0000 71.162758869 0.0000 0.2337694 0.0206300138 2.316366413.2 0.0000 -24.83543068 0.0000 0.0558662 0.0049301551 -2.630363583.3 0.0000 -27.77184102 0.0000 -0.309248 -0.0272909942 1.98594063.4 0.0000 67.490652971 0.0000 0.4377892 0.0386346383 -0.667427953.5 0.0000 -80.83921192 0.0000 -0.402528 -0.0355228646 -0.815722113.6 0.0000 64.524769706 0.0000 0.2252793 0.0198807588 1.923794583.7 0.0000 -26.04887811 0.0000 0.0225852 0.0019931319 -2.281547123.8 0.0000 -19.58206426 0.0000 -0.248446 -0.0219252525 1.803179433.9 0.0000 55.645652831 0.0000 0.3727588 0.032895745 -0.70675948

4 0.0000 -69.78084238 0.0000 -0.356766 -0.0314843643 -0.580842714.1 0.0000 58.16398819 0.0000 0.2140699 0.0188915366 1.588360734.2 0.0000 -26.39677365 0.0000 -0.002826 -0.000249418 -1.971179824.3 0.0000 -13.02682273 0.0000 -0.19756 -0.017434569 1.62747684.4 0.0000 45.576358701 0.0000 0.3160291 0.027889375 -0.720997924.5 0.0000 -59.99631705 0.0000 -0.314811 -0.0277818647 -0.392426884.6 0.0000 52.147779515 0.0000 0.2010653 0.0177438953 1.302942084.7 0.0000 -26.08893795 0.0000 -0.021797 -0.0019235667 -1.696291324.8 0.0000 -7.836888408 0.0000 -0.155196 -0.0136959406 1.460843844.9 0.0000 37.053765209 0.0000 0.2667374 0.0235394148 -0.71613673

5 0.0000 -51.37649985 0.0000 -0.276611 -0.0244107309 -0.242866185.1 0.0000 46.519176203 0.0000 0.1869964 0.0165023203 1.061127215.2 0.0000 -25.29663206 0.0000 -0.035535 -0.0031359725 -1.453893065.3 0.0000 -3.781229224 0.0000 -0.120126 -0.0106010525 1.304591475.4 0.0000 29.873058531 0.0000 0.2240777 0.0197747266 -0.697075885.5 0.0000 -43.81457619 0.0000 -0.242045 -0.0213603563 -0.125625785.6 0.0000 41.302060645 0.0000 0.1724332 0.0152171294 0.857175495.7 0.0000 -24.1585508 0.0000 -0.045059 -0.003976458 -1.24104724

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5.8 0.0000 -0.662394018 0.0000 -0.091275 -0.008054923 1.159477945.9 0.0000 23.851952819 0.0000 0.1873036 0.0165294307 -0.66779087

6 0.0000 -37.20777013 0.0000 -0.210946 -0.0186158909 -0.035115576.1 0.0000 36.505458824 0.0000 0.1578135 0.0139269463 0.685972316.2 0.0000 -22.78601264 0.0000 -0.051222 -0.0045203025 -1.054917286.3 0.0000 1.6876669431 0.0000 -0.067701 -0.0059746013 1.025831316.4 0.0000 18.82895922 0.0000 0.1557291 0.0137430036 -0.631479216.5 0.0000 -31.45854343 0.0000 -0.183113 -0.0161596257 0.033426626.6 0.0000 32.127075924 0.0000 0.1434662 0.0126608052 0.542981996.7 0.0000 -21.26743607 0.0000 -0.054734 -0.0048302724 -0.892803546.8 0.0000 3.4113651761 0.0000 -0.048589 -0.0042879325 0.903650346.9 0.0000 14.661641678 0.0000 0.1287288 0.011360237 -0.59068695

7 0.0000 -26.47538073 0.0000 -0.158325 -0.0139720924 0.084040367.1 0.0000 28.156188019 0.0000 0.1296318 0.011439933 0.424200147.2 0.0000 -19.67218516 0.0000 -0.056186 -0.0049584117 -0.752167047.3 0.0000 4.6288444371 0.0000 -0.033229 -0.0029324014 0.792687247.4 0.0000 11.22490039 0.0000 0.1057355 0.0093310916 -0.547417387.5 0.0000 -22.173248 0.0000 -0.136351 -0.0120329242 0.120137067.6 0.0000 24.575989265 0.0000 0.1164796 0.0102792524 0.326106477.7 0.0000 -18.0538599 0.0000 -0.056064 -0.0049476129 -0.630643777.8 0.0000 5.4409844405 0.0000 -0.021009 -0.001854058 0.692514877.9 0.0000 8.4093129449 0.0000 0.0862383 0.0076104772 -0.50322416

8 0.0000 -18.47379622 0.0000 -0.116959 -0.0103215197 0.144584238.1 0.0000 21.365480731 0.0000 0.1041213 0.0091886436 0.245619048.2 0.0000 -16.45309995 0.0000 -0.054765 -0.0048329912 -0.526051748.3 0.0000 5.9320652442 0.0000 -0.011406 -0.001006529 0.602580988.4 0.0000 6.1195543689 0.0000 0.0697793 0.0061579808 -0.459290798.5 0.0000 -15.30537009 0.0000 -0.099916 -0.0088175455 0.159780268.6 0.0000 18.500975312 0.0000 0.0926238 0.0081739972 0.180050598.7 0.0000 -14.89996344 0.0000 -0.052613 -0.0046430814 -0.436392178.8 0.0000 6.1721201267 0.0000 -0.003967 -0.0003501136 0.522251528.9 0.0000 4.2729103015 0.0000 0.0559501 0.0049375623 -0.416498

9 0.0000 -12.60287034 0.0000 -0.085001 -0.0075013069 0.167720629.1 0.0000 15.957282676 0.0000 0.0820186 0.0072380894 0.127067319.2 0.0000 -13.41593647 0.0000 -0.049869 -0.004400875 -0.35984669.3 0.0000 6.2190045004 0.0000 0.0016888 0.0001490361 0.450844829.4 0.0000 2.7978919213 0.0000 0.0443882 0.0039172333 -0.375480889.5 0.0000 -10.30750946 0.0000 -0.072001 -0.0063540115 0.170055989.6 0.0000 13.708629086 0.0000 0.0723099 0.0063813039 0.084650339.7 0.0000 -12.01562257 0.0000 -0.046739 -0.0041247172 -0.294770759.8 0.0000 6.1202076084 0.0000 0.0058885 0.0005196567 0.387658239.9 0.0000 1.632956909 0.0000 0.0347734 0.003068728 -0.336676810 0.0000 -8.36649289 0.0000 -0.060714 -0.0053579471 0.1681433

10.1 0.0000 11.729358843 0.0000 0.0634817 0.0056022243 0.0510601310.2 0.0000 -10.70815626 0.0000 -0.043389 -0.0038290785 -0.2396861810.3 0.0000 5.9144325711 0.0000 0.008907 0.0007860371 0.331988510.4 0.0000 0.7253373605 0.0000 0.0268237 0.0023671774 -0.3003656910.5 0.0000 -6.732651158 0.0000 -0.050953 -0.0044965923 0.1630903

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10.6 0.0000 9.9944570817 0.0000 0.0555031 0.0048981166 0.0248038810.7 0.0000 -9.498379462 0.0000 -0.039946 -0.0035252157 -0.1932705310.8 0.0000 5.6329689226 0.0000 0.0109759 0.0009686128 0.283147110.9 0.0000 0.0299730399 0.0000 0.0202924 0.0017907921 -0.26670351

11 0.0000 -5.364043288 0.0000 -0.042546 -0.003754673 0.1557942111.1 0.0000 8.4799275053 0.0000 0.0483326 0.004265319 0.0046056311.2 0.0000 -8.387814944 0.0000 -0.036507 -0.0032217365 -0.1543467411.3 0.0000 5.3008801795 0.0000 0.012289 0.0010844932 0.2404713311.4 0.0000 -0.491453508 0.0000 0.0149639 0.0013205582 -0.2357500311.5 0.0000 -4.223547181 0.0000 -0.035334 -0.0031181781 0.1469753111.6 0.0000 7.1630533571 0.0000 0.0419216 0.0036995535 -0.0106206811.7 0.0000 -7.375466889 0.0000 -0.033146 -0.0029250792 -0.1218719811.8 0.0000 4.938027312 0.0000 0.0130078 0.0011479281 0.2033321311.9 0.0000 -0.871384782 0.0000 0.0106511 0.0009399498 -0.20749169

12 0.0000 -3.278449086 0.0000 -0.029171 -0.0025743443 0.1372058112.1 0.0000 6.0225653151 0.0000 0.0362175 0.0031961729 -0.0217954712.2 0.0000 -6.458474655 0.0000 -0.029914 -0.0026399189 -0.0949263712.3 0.0000 4.5599472781 0.0000 0.013266 0.001170719 0.1711391312.4 0.0000 -1.137164768 0.0000 0.0071917 0.0006346603 -0.181860312.5 0.0000 -2.500041211 0.0000 -0.023928 -0.0021116175 0.1269347412.6 0.0000 5.0387360688 0.0000 0.0311657 0.0027503534 -0.0296953312.7 0.0000 -5.632642576 0.0000 -0.02685 -0.0023695091 -0.0727019212.8 0.0000 4.1786040928 0.0000 0.0131738 0.0011625794 0.1433436912.9 0.0000 -1.311730225 0.0000 0.004446 0.0003923532 -0.15874822

13 0.0000 -1.863234106 0.0000 -0.019486 -0.001719598 0.1165091913.1 0.0000 4.193417947 0.0000 0.0267111 0.0023572427 -0.0349723813.2 0.0000 -4.89286548 0.0000 -0.023977 -0.0021159691 -0.0544918613.3 0.0000 3.8030282633 0.0000 0.0128211 0.0011314502 0.1194402513.4 0.0000 -1.414223314 0.0000 0.0022939 0.0002024332 -0.1380205913.5 0.0000 -1.346188454 0.0000 -0.015739 -0.0013889747 0.1061924313.6 0.0000 3.4700370853 0.0000 0.0227998 0.0020120722 -0.0381714913.7 0.0000 -4.233466966 0.0000 -0.021309 -0.0018805228 -0.0396804113.8 0.0000 3.4398588474 0.0000 0.0122808 0.0010837737 0.0989663413.9 0.0000 -1.460532119 0.0000 0.0006327 5.5836934E-05 -0.11952507

14 0.0000 -0.929969322 0.0000 -0.012594 -0.001111452 0.0961792914.1 0.0000 2.8535551702 0.0000 0.0193796 0.0017102379 -0.0397454914.2 0.0000 -3.648465048 0.0000 -0.018852 -0.0016636971 -0.0277332114.3 0.0000 3.0938009135 0.0000 0.0116118 0.001024731 0.0815017714.4 0.0000 -1.463765531 0.0000 -0.000625 -5.515609E-05 -0.1030995114.5 0.0000 -0.598224678 0.0000 -0.009968 -0.000879674 0.0866091514.6 0.0000 2.3304077234 0.0000 0.0164008 0.0014473587 -0.040068514.7 0.0000 -3.13177768 0.0000 -0.016606 -0.0014654859 -0.0181883914.8 0.0000 2.7680097904 0.0000 0.0108607 0.000958447 0.0666670514.9 0.0000 -1.434668743 0.0000 -0.001553 -0.0001370948 -0.08857789

15 0.0000 -0.336889012 0.0000 -0.007786 -0.0006871463 0.0775768615.1 0.0000 1.8884261465 0.0000 0.0138167 0.0012193148 -0.0394476315.2 0.0000 -2.677378844 0.0000 -0.014566 -0.0012854835 -0.0106483315.3 0.0000 2.4644122141 0.0000 0.0100643 0.0008881671 0.05412134

Page 105: Hojas de Calculo Fransua

15.4 0.0000 -1.381985332 0.0000 -0.002215 -0.0001955093 -0.0757948715.5 0.0000 -0.133912125 0.0000 -0.005985 -0.0005281601 0.0691418615.6 0.0000 1.5167492801 0.0000 0.0115839 0.0010222704 -0.0381332515.7 0.0000 -2.279414234 0.0000 -0.012725 -0.0011229943 -0.0047720515.8 0.0000 2.1839732998 0.0000 0.0092511 0.0008164078 0.0435600915.9 0.0000 -1.312771526 0.0000 -0.002663 -0.0002350482 -0.06458921

16 0.0000 0.0209873766 0.0000 -0.004507 -0.0003977176 0.0613358216.1 0.0000 1.2057290158 0.0000 0.0096622 0.0008526855 -0.0363277616.2 0.0000 -1.932284204 0.0000 -0.011072 -0.00097712 -0.0002683516.3 0.0000 1.9269171923 0.0000 0.008443 0.0007450857 0.0347124616.4 0.0000 -1.232667904 0.0000 -0.002942 -0.0002595989 -0.0548061616.5 0.0000 0.1365447871 0.0000 -0.003303 -0.000291461 0.0541689116.6 0.0000 0.9468334864 0.0000 0.008015 0.0007073174 -0.0341933516.7 0.0000 -1.630700404 0.0000 -0.009596 -0.0008468303 0.0031103916.8 0.0000 1.692908273 0.0000 0.0076559 0.0006756267 0.0273387516.9 0.0000 -1.146133366 0.0000 -0.003087 -0.000272396 -0.0462992

17 0.0000 0.2201493855 0.0000 -0.00233 -0.0002056062 0.04763517.1 0.0000 0.732550525 0.0000 0.0066087 0.0005832162 -0.0318585517.2 0.0000 -1.369721494 0.0000 -0.008284 -0.0007310177 0.0055738717.3 0.0000 1.4811989244 0.0000 0.0069016 0.0006090587 0.0212276617.4 0.0000 -1.056645801 0.0000 -0.003129 -0.0002761148 -0.0389311317.5 0.0000 0.2780232663 0.0000 -0.001551 -0.0001368795 0.0417158317.6 0.0000 0.5562934079 0.0000 0.0054132 0.0004777147 -0.0294239517.7 0.0000 -1.144772425 0.0000 -0.007122 -0.0006285413 0.0072988317.8 0.0000 1.290749068 0.0000 0.006188 0.0005460893 0.0161937817.9 0.0000 -0.966873499 0.0000 -0.003093 -0.0002729545 -0.03257465

18 0.0000 0.3153804044 0.0000 -0.000934 -8.246043E-05 0.0363845418.1 0.0000 0.4123103331 0.0000 0.0044013 0.0003884148 -0.0269670318.2 0.0000 -0.951650979 0.0000 -0.006099 -0.0005382593 0.0084335518.3 0.0000 1.1203219867 0.0000 0.0055204 0.0004871708 0.0120750518.4 0.0000 -0.878820962 0.0000 -0.003 -0.0002647103 -0.0271126718.5 0.0000 0.3365674916 0.0000 -0.000452 -3.992865E-05 0.0316083118.6 0.0000 0.29559865 0.0000 0.0035487 0.0003131717 -0.024546318.7 0.0000 -0.786524656 0.0000 -0.005202 -0.0004590542 0.0091017818.8 0.0000 0.9685603241 0.0000 0.0049015 0.0004325548 0.008730418.9 0.0000 -0.793952398 0.0000 -0.002865 -0.0002528361 -0.02243822

19 0.0000 0.3451880881 0.0000 -8.176E-05 -7.215454E-06 0.0273506319.1 0.0000 0.2018244904 0.0000 0.0028337 0.0002500763 -0.0222047919.2 0.0000 -0.645920364 0.0000 -0.004418 -0.0003898503 0.0094062619.3 0.0000 0.8340455999 0.0000 0.0043325 0.0003823372 0.0060374919.4 0.0000 -0.713295838 0.0000 -0.002703 -0.000238499 -0.0184542119.5 0.0000 0.3442116051 0.0000 0.0001976 1.7439901E-05 0.0235729919.6 0.0000 0.1272481781 0.0000 0.0022373 0.0001974374 -0.0199730419.7 0.0000 -0.526708977 0.0000 -0.003735 -0.0003296268 0.0094317619.8 0.0000 0.7153440995 0.0000 0.003813 0.0003364949 0.0038906819.9 0.0000 -0.637530518 0.0000 -0.002523 -0.000222626 -0.0150731

20 0.0000 0.3360685805 0.0000 0.0004026 3.5529582E-05 0.02023621

Page 106: Hojas de Calculo Fransua

Masa M 0.7320Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.2706

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 1.4 MAX Uivelocidad inicial Ůo 1.5 MAX U´iaceleracion inicial ϋ o 1.6 MAX U´´i

periodo de la estru T 1.7

CALCULOS INICIALES WnÜo 10.069951675 TnΔt 10.076154907 estabilidad^K 10.08 10.1 NO ESTABLEa 0.83 1.25b 1.46 2.2097

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.069951675 5.0000 5.2507432 0.4633749428 6.267498860.1 5.0000 115.28002543 3.6603 5.2785288 0.465827004 -6.218457630.2 8.6603 -239.649178 1.3397 0.3319272 0.0292923806 -2.512234840.3 10.0000 189.40448129 -1.3397 -0.508463 -0.0448715525 1.028956170.4 8.6603 -168.8253578 -3.6603 -4.506777 -0.3977203569 -8.085932260.5 5.0000 7.1067125777 -5.0000 -6.0319 -0.5323115587 5.394108230.6 0.0000 100.77545193 0.0000 0.1608686 0.0141965587 5.536054120.7 0.0000 9.9456305487 0.0000 0.437857 0.0386406174 -5.047172950.8 0.0000 -110.8890896 0.0000 -0.846341 -0.0746890763 2.780579080.9 0.0000 166.50067111 0.0000 0.9291722 0.0819988896 0.35318024

1 0.0000 -159.4370663 0.0000 -0.675021 -0.0595701945 -3.184561921.1 0.0000 95.745827921 0.0000 0.1937194 0.0170956169 4.717878151.2 0.0000 -1.388264952 0.0000 0.329828 0.0291071246 -4.477647991.3 0.0000 -88.16469492 0.0000 -0.705995 -0.0623036419 2.649432661.4 0.0000 141.15334818 0.0000 0.8085214 0.0713515307 0.023670791.5 0.0000 -140.6799324 0.0000 -0.616111 -0.0543714125 -2.538129651.6 0.0000 89.9173393 0.0000 0.2141511 0.0188987068 4.003532041.7 0.0000 -9.846698499 0.0000 0.2418196 0.0213404326 -3.954697531.8 0.0000 -69.24725201 0.0000 -0.585684 -0.0516862364 2.494164151.9 0.0000 119.13053494 0.0000 0.7007527 0.0618410041 -0.22361934

2 0.0000 -123.6029217 0.0000 -0.558725 -0.0493071266 -1.999343282.1 0.0000 83.616056151 0.0000 0.2248419 0.0198421654 3.382329122.2 0.0000 -15.9694738 0.0000 0.1707002 0.0150641912 -3.47788862.3 0.0000 -53.58829825 0.0000 -0.482967 -0.0426215839 2.32417312.4 0.0000 100.07176028 0.0000 0.6049522 0.0533866729 -0.404007972.5 0.0000 -108.1519196 0.0000 -0.503716 -0.0444526156 -1.552777812.6 0.0000 77.096363461 0.0000 0.2280072 0.0201215029 2.844260182.7 0.0000 -20.21115992 0.0000 0.113761 0.0100393398 -3.04590344

CASOS

ESPECIA

LES

D3556
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D3558
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C3559
estos son datos iniciales?
C3561
esta es igual a la aceleracion del sismo?
G3566
REVIZAR….
B3567
caso de aceleracion promedio
C3567
caso de aceleracion promedio
B3568
este es para el caso de aceleracion promedio
C3568
este es para el caso de aceleracion promedio
B3569
para el caso de aceleracion promedio
C3569
para el caso de aceleracion promedio
A3572
el tiempo lo vamos a variar
B3572
ESTE ES EL DATO QUE VA A VARIAR
D3572
este dato no es igual al de la segunda columna?
C3573
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 107: Hojas de Calculo Fransua

2.8 0.0000 -40.70690891 0.0000 -0.39564 -0.0349150229 2.146816192.9 0.0000 83.643232663 0.0000 0.5201781 0.0459054033 -0.53040766

3 0.0000 -94.25138593 0.0000 -0.451672 -0.0398597412 -1.184895233.1 0.0000 70.553481379 0.0000 0.2254683 0.0198974436 2.380038923.2 0.0000 -22.9527029 0.0000 0.0686678 0.0060598925 -2.656789953.3 0.0000 -30.18309601 0.0000 -0.321719 -0.028391522 1.967761663.4 0.0000 69.53832912 0.0000 0.4454872 0.0393139812 -0.613651593.5 0.0000 -81.81136094 0.0000 -0.402968 -0.0355617107 -0.883862253.6 0.0000 64.134116001 0.0000 0.2187119 0.0193011983 1.981120433.7 0.0000 -24.51170745 0.0000 0.0334174 0.0029490698 -2.3081633.8 0.0000 -21.65155251 0.0000 -0.25943 -0.0228945203 1.79129123.9 0.0000 57.477376413 0.0000 0.3799564 0.0335309242 -0.6627823

4 0.0000 -70.73302249 0.0000 -0.357816 -0.0315770454 -0.639377094.1 0.0000 57.945480726 0.0000 0.2089425 0.0184390494 1.639698984.2 0.0000 -25.15150104 0.0000 0.0062977 0.000555772 -1.997364534.3 0.0000 -14.79578959 0.0000 -0.207193 -0.0182846613 1.620555874.4 0.0000 47.2069069 0.0000 0.3226968 0.0284778016 -0.685306614.5 0.0000 -60.91303907 0.0000 -0.316295 -0.027912869 -0.44250684.6 0.0000 52.062903011 0.0000 0.1971268 0.0173963207 1.34869064.7 0.0000 -25.08909109 0.0000 -0.014149 -0.0012486143 -1.72158934.8 0.0000 -9.342694813 0.0000 -0.16361 -0.0144384738 1.457792114.9 0.0000 38.498536936 0.0000 0.2728648 0.0240801566 -0.6874195

5 0.0000 -52.2469269 0.0000 -0.278388 -0.0245676158 -0.285535955.1 0.0000 46.536207905 0.0000 0.184033 0.0162408022 1.101704315.2 0.0000 -24.5021217 0.0000 -0.029157 -0.0025730928 -1.477982215.3 0.0000 -5.057522498 0.0000 -0.127446 -0.0112470427 1.304503215.4 0.0000 31.147586748 0.0000 0.2296686 0.0202681123 -0.674200115.5 0.0000 -44.63158903 0.0000 -0.244004 -0.021533246 -0.161827055.6 0.0000 41.395048012 0.0000 0.170264 0.015025693 0.893005835.7 0.0000 -23.53493141 0.0000 -0.039769 -0.0035096333 -1.263712365.8 0.0000 -1.739315709 0.0000 -0.097618 -0.0086146993 1.161611045.9 0.0000 24.971536425 0.0000 0.1923721 0.0169767259 -0.64978253

6 0.0000 -37.96718706 0.0000 -0.212999 -0.0187970442 -0.065692876.1 0.0000 36.65332964 0.0000 0.1562857 0.0137921185 0.717476136.2 0.0000 -22.30380713 0.0000 -0.046861 -0.0041354683 -1.076027866.3 0.0000 0.7832498881 0.0000 -0.073176 -0.0064577557 1.029582116.4 0.0000 19.808392393 0.0000 0.1602974 0.0141461489 -0.617504026.5 0.0000 -32.15847282 0.0000 -0.185192 -0.0163430674 0.00771976.6 0.0000 32.312866741 0.0000 0.1424517 0.0125712765 0.570567186.7 0.0000 -20.9015231 0.0000 -0.051163 -0.0045151301 -0.912295326.8 0.0000 2.6556167798 0.0000 -0.053296 -0.0047032989 0.908531946.9 0.0000 15.515022038 0.0000 0.132824 0.0117216363 -0.58003324

7 0.0000 -27.11568679 0.0000 -0.160378 -0.014153298 0.062534557.1 0.0000 28.366377846 0.0000 0.1290236 0.0113862581 0.448256577.2 0.0000 -19.40124647 0.0000 -0.053284 -0.0047022497 -0.770026737.3 0.0000 4.0007119598 0.0000 -0.037259 -0.0032880553 0.798310617.4 0.0000 11.96550033 0.0000 0.1093882 0.0096534441 -0.539480637.5 0.0000 -22.75511285 0.0000 -0.138341 -0.0122085533 0.10224068

Page 108: Hojas de Calculo Fransua

7.6 0.0000 24.799926417 0.0000 0.1161887 0.0102535854 0.347002097.7 0.0000 -17.85988453 0.0000 -0.053724 -0.004741139 -0.646896587.8 0.0000 4.9219529166 0.0000 -0.024446 -0.0021573331 0.69857277.9 0.0000 9.0495010268 0.0000 0.089481 0.0078966453 -0.49749313

8 0.0000 -18.99936359 0.0000 -0.118858 -0.0104891906 0.129776418.1 0.0000 21.5948918 0.0000 0.1040744 0.0091845052 0.263697518.2 0.0000 -16.32094169 0.0000 -0.052898 -0.0046681762 -0.540751138.3 0.0000 5.5059190024 0.0000 -0.014324 -0.0012640456 0.608833758.4 0.0000 6.6707559256 0.0000 0.0726451 0.0064108872 -0.455335098.5 0.0000 -15.7774577 0.0000 -0.101708 -0.0089756459 0.147604438.6 0.0000 18.729546205 0.0000 0.0927606 0.0081860715 0.195629928.7 0.0000 -14.81694774 0.0000 -0.051139 -0.004513015 -0.449611658.8 0.0000 5.8247146749 0.0000 -0.006434 -0.0005678154 0.528515658.9 0.0000 4.7455982331 0.0000 0.0584719 0.0051601124 -0.41395709

9 0.0000 -13.02474001 0.0000 -0.086673 -0.0076488354 0.157778139.1 0.0000 16.180302652 0.0000 0.08229 0.0072620459 0.140439499.2 0.0000 -13.37151276 0.0000 -0.048721 -0.0042996336 -0.371673089.3 0.0000 5.9380510857 0.0000 -0.000387 -3.415927E-05 0.456982579.4 0.0000 3.2016003139 0.0000 0.0465981 0.0041122565 -0.374054259.5 0.0000 -10.68268541 0.0000 -0.073547 -0.0064904457 0.162000219.6 0.0000 13.922689641 0.0000 0.0726763 0.0064136435 0.096081579.7 0.0000 -12.00105822 0.0000 -0.045861 -0.0040472438 -0.305299329.8 0.0000 5.895071908 0.0000 0.0041502 0.0003662488 0.393569179.9 0.0000 1.9763114478 0.0000 0.0367021 0.003238936 -0.3361154210 0.0000 -8.69861993 0.0000 -0.062132 -0.0054831346 0.16167401

10.1 0.0000 11.932100155 0.0000 0.0639114 0.0056401459 0.060791610.2 0.0000 -10.71626818 0.0000 -0.042732 -0.0037710739 -0.2490159910.3 0.0000 5.7359483021 0.0000 0.0074589 0.0006582414 0.337602310.4 0.0000 1.0160976681 0.0000 0.0285003 0.0025151356 -0.3004644110.5 0.0000 -7.025385965 0.0000 -0.052246 -0.0046106613 0.1579484810.6 0.0000 10.184355532 0.0000 0.0559709 0.0049394022 0.0330527910.7 0.0000 -9.523299702 0.0000 -0.039468 -0.0034830408 -0.2015016510.8 0.0000 5.4932666373 0.0000 0.0097763 0.0008627507 0.2884174810.9 0.0000 0.2750830327 0.0000 0.0217441 0.0019189007 -0.26729448

11 0.0000 -5.620972674 0.0000 -0.043717 -0.0038579587 0.1517572911.1 0.0000 8.6561185449 0.0000 0.0488189 0.0043082351 0.0115665811.2 0.0000 -8.424786899 0.0000 -0.036174 -0.0031923252 -0.1615777911.3 0.0000 5.1932311208 0.0000 0.0113013 0.0009973373 0.2453710411.4 0.0000 -0.285810342 0.0000 0.0162159 0.0014310424 -0.2366969411.5 0.0000 -4.448128404 0.0000 -0.036387 -0.0032111639 0.1438528111.6 0.0000 7.3251846495 0.0000 0.0424112 0.0037427667 -0.004774211.7 0.0000 -7.420668673 0.0000 -0.032928 -0.0029058603 -0.1281983411.8 0.0000 4.8567019099 0.0000 0.0122002 0.0010766585 0.2078487111.9 0.0000 -0.69972761 0.0000 0.0117265 0.0010348554 -0.20868478

12 0.0000 -3.473967935 0.0000 -0.030115 -0.002657614 0.1348353912.1 0.0000 6.1706757245 0.0000 0.0366992 0.003238678 -0.0169095512.2 0.0000 -6.508866725 0.0000 -0.029788 -0.0026287472 -0.1004389512.3 0.0000 4.5000876578 0.0000 0.0126106 0.0011128818 0.17527153

Page 109: Hojas de Calculo Fransua

12.4 0.0000 -0.994657014 0.0000 0.0081117 0.0007158551 -0.1832120712.5 0.0000 -2.669584302 0.0000 -0.024769 -0.0021858174 0.1251786212.6 0.0000 5.1731566052 0.0000 0.031631 0.0027914129 -0.0256340112.7 0.0000 -5.685836759 0.0000 -0.026795 -0.0023646048 -0.0774863512.8 0.0000 4.1361098226 0.0000 0.0126465 0.0011160475 0.1470993912.9 0.0000 -1.194121962 0.0000 0.0052299 0.0004615312 -0.16018972

13 0.0000 -2.009672428 0.0000 -0.020231 -0.0017854076 0.1152509413.1 0.0000 4.3146912906 0.0000 0.0271541 0.0023963356 -0.0316160813.2 0.0000 -4.947012858 0.0000 -0.023976 -0.0021158643 -0.0586279213.3 0.0000 3.7744544774 0.0000 0.0124011 0.0010943873 0.1228329513.4 0.0000 -1.317795486 0.0000 0.0029589 0.0002611218 -0.1394982613.5 0.0000 -1.472169688 0.0000 -0.016398 -0.0014470834 0.1053341513.6 0.0000 3.5788527578 0.0000 0.0232166 0.0020488504 -0.0354154813.7 0.0000 -4.287162301 0.0000 -0.021349 -0.0018840147 -0.0432418213.8 0.0000 3.4223258315 0.0000 0.0119502 0.0010546004 0.1020141213.9 0.0000 -1.382043337 0.0000 0.0011944 0.0001054061 -0.12099801

14 0.0000 -1.037916891 0.0000 -0.013173 -0.0011625422 0.0956390514.1 0.0000 2.9506978207 0.0000 0.0197677 0.0017444906 -0.0374983914.2 0.0000 -3.700665642 0.0000 -0.018921 -0.0016698075 -0.0307875714.3 0.0000 3.0849142205 0.0000 0.0113553 0.0010020946 0.0842256114.4 0.0000 -1.400401941 0.0000 -0.000153 -1.348421E-05 -0.1045371914.5 0.0000 -0.690341874 0.0000 -0.010475 -0.0009244076 0.0863187214.6 0.0000 2.4167163496 0.0000 0.0167591 0.0014789825 -0.0382509214.7 0.0000 -3.18173481 0.0000 -0.016696 -0.0014734258 -0.0207972414.8 0.0000 2.7657899643 0.0000 0.0106652 0.0009411938 0.0690896314.9 0.0000 -1.383997277 0.0000 -0.001158 -0.0001022347 -0.0899582

15 0.0000 -0.415166816 0.0000 -0.008228 -0.000726156 0.0774797815.1 0.0000 1.9647623838 0.0000 0.014145 0.0012482887 -0.0379908815.2 0.0000 -2.724580073 0.0000 -0.01467 -0.0012946227 -0.0128673415.3 0.0000 2.4672332215 0.0000 0.0099187 0.000875317 0.0562661415.4 0.0000 -1.341910492 0.0000 -0.001887 -0.0001665015 -0.0771025115.5 0.0000 -0.200139645 0.0000 -0.006369 -0.000562043 0.0691916815.6 0.0000 1.5839731652 0.0000 0.0118826 0.0010486359 -0.036978115.7 0.0000 -2.323535121 0.0000 -0.012837 -0.0011328348 -0.0066513215.8 0.0000 2.1905088097 0.0000 0.009146 0.0008071321 0.0454506515.9 0.0000 -1.281495755 0.0000 -0.002391 -0.0002110478 -0.06581425

16 0.0000 -0.034789253 0.0000 -0.004839 -0.0004270313 0.0614945816.1 0.0000 1.2646808694 0.0000 0.0099324 0.0008765297 -0.0354233616.2 0.0000 -1.973148094 0.0000 -0.011187 -0.0009872739 -0.0018527116.3 0.0000 1.9360938899 0.0000 0.0083704 0.0007386866 0.0363719216.4 0.0000 -1.208655487 0.0000 -0.002718 -0.0002398657 -0.0559429716.5 0.0000 0.0897961777 0.0000 -0.003589 -0.0003167216 0.0544058516.6 0.0000 0.9983207687 0.0000 0.008258 0.0007287599 -0.0334962216.7 0.0000 -1.668245123 0.0000 -0.009711 -0.0008570002 0.0017810216.8 0.0000 1.7038654462 0.0000 0.0076093 0.0006715199 0.0287893816.9 0.0000 -1.128077759 0.0000 -0.002904 -0.0002562834 -0.04734545

17 0.0000 0.1811687668 0.0000 -0.002576 -0.0002272872 0.0479253717.1 0.0000 0.7773386999 0.0000 0.0068261 0.0006023983 -0.03133166

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17.2 0.0000 -1.40397195 0.0000 -0.008396 -0.0007409806 0.0044640817.3 0.0000 1.4932536199 0.0000 0.0068755 0.000606757 0.0224906717.4 0.0000 -1.043440224 0.0000 -0.002981 -0.0002630608 -0.0398870317.5 0.0000 0.2456996973 0.0000 -0.001761 -0.0001554128 0.0420399917.6 0.0000 0.5951000041 0.0000 0.0056067 0.0004947909 -0.0290359117.7 0.0000 -1.175818204 0.0000 -0.007231 -0.0006381347 0.006377417.8 0.0000 1.3033661674 0.0000 0.0061778 0.0005451891 0.0172890817.9 0.0000 -0.957584617 0.0000 -0.002974 -0.0002624723 -0.0334423

18 0.0000 0.2887385226 0.0000 -0.001113 -9.823736E-05 0.03672718.1 0.0000 0.4458015294 0.0000 0.0045728 0.0004035461 -0.0266913318.2 0.0000 -0.97962818 0.0000 -0.006203 -0.0005473694 0.0076730218.3 0.0000 1.1330886123 0.0000 0.0055223 0.0004873396 0.0130211618.4 0.0000 -0.872665434 0.0000 -0.002905 -0.0002563798 -0.0278955518.5 0.0000 0.3147544756 0.0000 -0.000604 -5.330148E-05 0.0319571118.6 0.0000 0.3243878228 0.0000 0.0037 0.0003265206 -0.0243606718.7 0.0000 -0.811601281 0.0000 -0.005299 -0.0004676061 0.0084781418.8 0.0000 0.9811640385 0.0000 0.0049124 0.0004335206 0.009544418.9 0.0000 -0.790276084 0.0000 -0.002791 -0.0002462965 -0.02314074

19 0.0000 0.3274612549 0.0000 -0.00021 -1.849982E-05 0.0276966819.1 0.0000 0.2264722633 0.0000 0.0029666 0.0002618029 -0.0220906219.2 0.0000 -0.668284694 0.0000 -0.004508 -0.0003978001 0.0088985619.3 0.0000 0.8462559165 0.0000 0.0043499 0.0003838791 0.0067350219.4 0.0000 -0.71155545 0.0000 -0.002645 -0.0002334415 -0.0190814319.5 0.0000 0.3299267497 0.0000 9.023E-05 7.9626361E-06 0.0239095219.6 0.0000 0.1482635949 0.0000 0.0023535 0.0002076964 -0.0199148419.7 0.0000 -0.546560421 0.0000 -0.003818 -0.0003369545 0.0090218219.8 0.0000 0.7269968702 0.0000 0.003835 0.0003384351 0.0044859719.9 0.0000 -0.637277482 0.0000 -0.002479 -0.0002187873 -0.01563042

20 0.0000 0.3246691225 0.0000 0.0003129 2.7609782E-05 0.02055836

Masa M 0.8207Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.2865

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 1.5 MAX Uivelocidad inicial Ůo 1.6 MAX U´iaceleracion inicial ϋ o 1.7 MAX U´´i

periodo de la estru T 1.8

CALCULOS INICIALES WnÜo 10.076154907 TnΔt 10.082544575 estabilidad^K 10.09 10.1 NO ESTABLEa 0.90 1.35b 1.64 2.4764

CASOS

ESPECIA

LES

D3778
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D3780
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C3781
estos son datos iniciales?
C3783
esta es igual a la aceleracion del sismo?
G3788
REVIZAR….
B3789
caso de aceleracion promedio
C3789
caso de aceleracion promedio
B3790
este es para el caso de aceleracion promedio
C3790
este es para el caso de aceleracion promedio
B3791
para el caso de aceleracion promedio
C3791
para el caso de aceleracion promedio
Page 111: Hojas de Calculo Fransua

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.076154907 5.0000 5.2640899 0.464552776 6.091055520.1 5.0000 111.7449555 3.6603 5.2504413 0.4633483016 -6.115145010.2 8.6603 -234.0478557 1.3397 0.3638816 0.0321123315 -2.50957440.3 10.0000 183.85636775 -1.3397 -0.532638 -0.0470049927 0.927227910.4 8.6603 -165.3118095 -3.6603 -4.49859 -0.3969979075 -7.92708620.5 5.0000 6.7700854495 -5.0000 -6.022068 -0.5314438965 5.238166420.6 0.0000 97.993243013 0.0000 0.1375471 0.0121384487 5.633480480.7 0.0000 14.676366613 0.0000 0.465569 0.041086188 -5.05452570.8 0.0000 -115.7668805 0.0000 -0.868285 -0.0766256532 2.700288870.9 0.0000 169.77265793 0.0000 0.9378243 0.0827624302 0.4874728

1 0.0000 -160.023202 0.0000 -0.668033 -0.0589535125 -3.321791651.1 0.0000 93.587368972 0.0000 0.1744694 0.0153968182 4.808798261.2 0.0000 2.5885963193 0.0000 0.3537661 0.0312196505 -4.492341621.3 0.0000 -92.43542872 0.0000 -0.725796 -0.0640510825 2.586926961.4 0.0000 144.17396794 0.0000 0.8173359 0.0721294049 0.136682791.5 0.0000 -141.4403122 0.0000 -0.611403 -0.0539559763 -2.658390411.6 0.0000 88.272503987 0.0000 0.1983649 0.0175055876 4.087621691.7 0.0000 -6.520070194 0.0000 0.2624159 0.0231580426 -3.974572591.8 0.0000 -72.9713816 0.0000 -0.603453 -0.0532543998 2.446323741.9 0.0000 121.89785646 0.0000 0.709499 0.0626128637 -0.12897847

2 0.0000 -124.4774259 0.0000 -0.555827 -0.0490513555 -2.104305912.1 0.0000 82.391307697 0.0000 0.2119898 0.0187079767 3.459492552.2 0.0000 -13.20145662 0.0000 0.1883502 0.0166217915 -3.501216262.3 0.0000 -56.82286854 0.0000 -0.498833 -0.0440217145 2.288346142.4 0.0000 102.58979133 0.0000 0.6134592 0.054137408 -0.325163692.5 0.0000 -109.0930651 0.0000 -0.502235 -0.0443219302 -1.644023082.6 0.0000 76.212603622 0.0000 0.2176293 0.0192056575 2.914574832.7 0.0000 -17.921107 0.0000 0.1288243 0.0113686714 -3.071314552.8 0.0000 -43.50518409 0.0000 -0.409738 -0.03615916 2.120757932.9 0.0000 85.920342644 0.0000 0.5283226 0.0466241524 -0.46509168

3 0.0000 -95.22217623 0.0000 -0.451284 -0.0398255506 -1.263902383.1 0.0000 69.944128578 0.0000 0.2171668 0.019164843 2.443710263.2 0.0000 -21.06992346 0.0000 0.0814696 0.0071896425 -2.683214273.3 0.0000 -32.59436187 0.0000 -0.33419 -0.0294920412 1.949580593.4 0.0000 71.585973741 0.0000 0.4531849 0.0399932986 -0.55987383.5 0.0000 -82.78344971 0.0000 -0.403408 -0.0356005244 -0.952002663.6 0.0000 63.743396468 0.0000 0.2121443 0.0187216105 2.038445363.7 0.0000 -22.97448926 0.0000 0.0442498 0.0039050203 -2.334777163.8 0.0000 -23.72105403 0.0000 -0.270413 -0.0238637825 1.779401113.9 0.0000 59.309076179 0.0000 0.3871537 0.0341660825 -0.61880381

4 0.0000 -71.68515231 0.0000 -0.358866 -0.0316696987 -0.697911824.1 0.0000 57.726915954 0.0000 0.2038148 0.0179865378 1.691036554.2 0.0000 -23.90618501 0.0000 0.0154219 0.0013609745 -2.023547814.3 0.0000 -16.56477123 0.0000 -0.216826 -0.0191347502 1.613633324.4 0.0000 48.837437574 0.0000 0.3293644 0.0290662113 -0.649614094.5 0.0000 -61.82971933 0.0000 -0.317779 -0.0280438494 -0.49258713

A3794
el tiempo lo vamos a variar
B3794
ESTE ES EL DATO QUE VA A VARIAR
D3794
este dato no es igual al de la segunda columna?
C3795
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 112: Hojas de Calculo Fransua

4.6 0.0000 51.977976814 0.0000 0.193188 0.0170487242 1.39443864.7 0.0000 -24.08920482 0.0000 -0.0065 -0.0005736499 -1.746886084.8 0.0000 -10.84851683 0.0000 -0.172024 -0.0151810055 1.454738974.9 0.0000 39.943296224 0.0000 0.2789921 0.0246208848 -0.65870116

5 0.0000 -53.11731949 0.0000 -0.280166 -0.0247244804 -0.328206145.1 0.0000 46.553196687 0.0000 0.1810694 0.0159792648 1.142281045.2 0.0000 -23.70757579 0.0000 -0.022779 -0.0020102016 -1.502070375.3 0.0000 -6.333831655 0.0000 -0.134766 -0.0118930328 1.304413755.4 0.0000 32.422106605 0.0000 0.2352592 0.020761487 -0.651323355.5 0.0000 -45.44857362 0.0000 -0.245963 -0.0217061184 -0.198028765.6 0.0000 41.487998457 0.0000 0.1680945 0.0148342396 0.928835925.7 0.0000 -22.91128011 0.0000 -0.03448 -0.0030427977 -1.286376665.8 0.0000 -2.81625315 0.0000 -0.103961 -0.0091744765 1.163743095.9 0.0000 26.091114904 0.0000 0.1974406 0.0174240126 -0.6317733

6 0.0000 -38.726581 0.0000 -0.215052 -0.0189781831 -0.096270616.1 0.0000 36.80116882 0.0000 0.1547577 0.0136572757 0.748979786.2 0.0000 -21.82157313 0.0000 -0.0425 -0.0037506242 -1.097137786.3 0.0000 -0.121182476 0.0000 -0.078651 -0.0069409119 1.033332026.4 0.0000 20.787822971 0.0000 0.1648656 0.0145492876 -0.603528036.5 0.0000 -32.85838365 0.0000 -0.18727 -0.0165264969 -0.017987656.6 0.0000 32.498630561 0.0000 0.141437 0.0124817348 0.598152296.7 0.0000 -20.53558482 0.0000 -0.047592 -0.0041999786 -0.931786556.8 0.0000 1.8998537331 0.0000 -0.058002 -0.0051186676 0.913412776.9 0.0000 16.368401757 0.0000 0.1369191 0.0120830305 -0.56937881

7 0.0000 -27.75597801 0.0000 -0.162432 -0.0143344933 0.041028347.1 0.0000 28.576544732 0.0000 0.1284153 0.0113325718 0.472312977.2 0.0000 -19.1302854 0.0000 -0.050381 -0.0044460793 -0.787885997.3 0.0000 3.3725656412 0.0000 -0.041289 -0.0036437118 0.803933347.4 0.0000 12.706101104 0.0000 0.1130409 0.0099757929 -0.531543247.5 0.0000 -23.33696597 0.0000 -0.140332 -0.0123841738 0.084343917.6 0.0000 25.023844161 0.0000 0.1158978 0.0102279084 0.367897747.7 0.0000 -17.66588946 0.0000 -0.051385 -0.0045346573 -0.663149057.8 0.0000 4.4029084556 0.0000 -0.027882 -0.0024606111 0.704629977.9 0.0000 9.6896910315 0.0000 0.0927237 0.0081828107 -0.49176154

8 0.0000 -19.52492181 0.0000 -0.120758 -0.0106568545 0.114968248.1 0.0000 21.824286525 0.0000 0.1040274 0.0091803583 0.281776028.2 0.0000 -16.18876616 0.0000 -0.05103 -0.0045033542 -0.555450278.3 0.0000 5.0797607791 0.0000 -0.017242 -0.0015215653 0.615086058.4 0.0000 7.2219601781 0.0000 0.0755109 0.0066637919 -0.45137898.5 0.0000 -16.24953828 0.0000 -0.103499 -0.0091337406 0.135428268.6 0.0000 18.9581034 0.0000 0.0928974 0.0081981384 0.211209328.7 0.0000 -14.73391694 0.0000 -0.049665 -0.0043829423 -0.462830948.8 0.0000 5.4772982153 0.0000 -0.008901 -0.0007855201 0.534779388.9 0.0000 5.2182893816 0.0000 0.0609937 0.0053826613 -0.41141575

9 0.0000 -13.4466044 0.0000 -0.088345 -0.0077963592 0.147835349.1 0.0000 16.403311206 0.0000 0.0825614 0.007285996 0.153811769.2 0.0000 -13.32707593 0.0000 -0.047574 -0.0041983865 -0.383499419.3 0.0000 5.6570876294 0.0000 -0.002463 -0.0002173576 0.46311999

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9.4 0.0000 3.6053122442 0.0000 0.048808 0.004307279 -0.372627269.5 0.0000 -11.05785749 0.0000 -0.075093 -0.006626876 0.153944169.6 0.0000 14.136740725 0.0000 0.0730427 0.0064459776 0.107512919.7 0.0000 -11.9864825 0.0000 -0.044983 -0.0039697653 -0.315827779.8 0.0000 5.6699271059 0.0000 0.0024118 0.0002128382 0.399479849.9 0.0000 2.3196696884 0.0000 0.0386308 0.0034091438 -0.3355537310 0.0000 -9.030744252 0.0000 -0.063551 -0.0056083191 0.15520447

10.1 0.0000 12.134833661 0.0000 0.0643411 0.0056780629 0.0705231710.2 0.0000 -10.72437027 0.0000 -0.042075 -0.0037130647 -0.2583457210.3 0.0000 5.5574558313 0.0000 0.0060107 0.000530443 0.3432158810.4 0.0000 1.3068617208 0.0000 0.0301769 0.0026630938 -0.3005628610.5 0.0000 -7.318118972 0.0000 -0.053538 -0.0047247278 0.1528064310.6 0.0000 10.374247592 0.0000 0.0564387 0.004980684 0.041301810.7 0.0000 -9.548211504 0.0000 -0.03899 -0.0034408621 -0.2097327310.8 0.0000 5.3535570007 0.0000 0.0085767 0.000756886 0.2936876910.9 0.0000 0.5201967222 0.0000 0.0231957 0.0020470096 -0.26788521

11 0.0000 -5.877900985 0.0000 -0.044887 -0.0039612425 0.1477201711.1 0.0000 8.8323043908 0.0000 0.0493051 0.0043511479 0.0185276411.2 0.0000 -8.46175163 0.0000 -0.035841 -0.0031629105 -0.1688088111.3 0.0000 5.0855755062 0.0000 0.0103137 0.000910179 0.250270611.4 0.0000 -0.080163595 0.0000 0.0174678 0.001541527 -0.2376436411.5 0.0000 -4.67270912 0.0000 -0.037441 -0.0033041482 0.1407301311.6 0.0000 7.487311757 0.0000 0.0429009 0.003785977 0.0010723711.7 0.0000 -7.465864298 0.0000 -0.03271 -0.0028866384 -0.1345246811.8 0.0000 4.7753706886 0.0000 0.0113926 0.0010053868 0.2123651811.9 0.0000 -0.528067021 0.0000 0.0128019 0.0011297616 -0.20987769

12 0.0000 -3.669486711 0.0000 -0.031058 -0.0027408825 0.132464812.1 0.0000 6.3187827946 0.0000 0.0371808 0.0032811808 -0.0120235412.2 0.0000 -6.559253566 0.0000 -0.029661 -0.0026175728 -0.1059515312.3 0.0000 4.4402228954 0.0000 0.0119552 0.0010550426 0.1794038412.4 0.0000 -0.85214604 0.0000 0.0090318 0.0007970505 -0.1845636812.5 0.0000 -2.839127648 0.0000 -0.025609 -0.0022600165 0.1234223412.6 0.0000 5.3075745074 0.0000 0.0320962 0.0028324706 -0.021572612.7 0.0000 -5.739026522 0.0000 -0.026739 -0.0023596982 -0.0822707712.8 0.0000 4.0936110281 0.0000 0.0121192 0.0010695139 0.1508550212.9 0.0000 -1.076510695 0.0000 0.0060138 0.0005307099 -0.1616311

13 0.0000 -2.156111247 0.0000 -0.020977 -0.0018512166 0.1139925713.1 0.0000 4.4359625848 0.0000 0.0275971 0.0024354269 -0.028259713.2 0.0000 -5.001156518 0.0000 -0.023975 -0.0021157574 -0.0627639913.3 0.0000 3.7458767275 0.0000 0.0119811 0.0010573227 0.1262255913.4 0.0000 -1.22136488 0.0000 0.0036239 0.0003198112 -0.1409758213.5 0.0000 -1.598151587 0.0000 -0.017056 -0.0015051918 0.1044757613.6 0.0000 3.6876668631 0.0000 0.0236333 0.0020856272 -0.0326593813.7 0.0000 -4.340854522 0.0000 -0.021388 -0.0018875048 -0.0468032613.8 0.0000 3.4047893563 0.0000 0.0116196 0.0010254256 0.1050618713.9 0.0000 -1.303552007 0.0000 0.0017561 0.0001549759 -0.12247086

14 0.0000 -1.145865238 0.0000 -0.013752 -0.0012136321 0.095098714.1 0.0000 3.0478392987 0.0000 0.0201559 0.0017787422 -0.03525122

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14.2 0.0000 -3.752863643 0.0000 -0.018991 -0.0016759164 -0.0338419614.3 0.0000 3.0760245209 0.0000 0.0110987 0.000979457 0.0869494214.4 0.0000 -1.33703603 0.0000 0.0003194 2.8188357E-05 -0.105974814.5 0.0000 -0.782459914 0.0000 -0.010982 -0.000969141 0.0860282114.6 0.0000 2.5030241242 0.0000 0.0171175 0.0015106054 -0.0364332814.7 0.0000 -3.231689792 0.0000 -0.016786 -0.0014813644 -0.0234061114.8 0.0000 2.7635675352 0.0000 0.0104696 0.0009239395 0.0715121914.9 0.0000 -1.333323709 0.0000 -0.000763 -6.737396E-05 -0.09133846

15 0.0000 -0.493445497 0.0000 -0.00867 -0.0007651657 0.0773826315.1 0.0000 2.0410980283 0.0000 0.0144733 0.0012772619 -0.0365340815.2 0.0000 -2.771779533 0.0000 -0.014774 -0.0013037607 -0.0150863815.3 0.0000 2.4700519843 0.0000 0.0097731 0.000862466 0.0584109115.4 0.0000 -1.301833761 0.0000 -0.001558 -0.000137493 -0.0784100915.5 0.0000 -0.266368048 0.0000 -0.006753 -0.000595926 0.0692414315.6 0.0000 1.651196664 0.0000 0.0121814 0.0010750008 -0.0358228915.7 0.0000 -2.367654563 0.0000 -0.012948 -0.0011426744 -0.0085306115.8 0.0000 2.1970423919 0.0000 0.0090409 0.0007978555 0.0473412115.9 0.0000 -1.25021829 0.0000 -0.00212 -0.0001870469 -0.06703925

16 0.0000 -0.09056675 0.0000 -0.005171 -0.0004563451 0.0616532916.1 0.0000 1.3236324996 0.0000 0.0102026 0.0009003735 -0.0345189216.2 0.0000 -2.014010811 0.0000 -0.011302 -0.000997427 -0.0034370916.3 0.0000 1.9452689383 0.0000 0.0082979 0.0007322868 0.0380313716.4 0.0000 -1.184641562 0.0000 -0.002494 -0.0002201318 -0.0570797416.5 0.0000 0.0430467312 0.0000 -0.003875 -0.0003419822 0.0546427316.6 0.0000 1.0498079545 0.0000 0.0085009 0.0007502021 -0.0327990516.7 0.0000 -1.705788899 0.0000 -0.009826 -0.0008671694 0.0004516216.8 0.0000 1.7148212145 0.0000 0.0075628 0.0006674124 0.0302400216.9 0.0000 -1.110020813 0.0000 -0.002721 -0.0002401703 -0.04839167

17 0.0000 0.1421873514 0.0000 -0.002821 -0.0002489684 0.0482157117.1 0.0000 0.8221268754 0.0000 0.0070434 0.0006215802 -0.0308047417.2 0.0000 -1.438221655 0.0000 -0.008509 -0.000750943 0.0033542717.3 0.0000 1.5053071237 0.0000 0.0068494 0.0006044548 0.0237536817.4 0.0000 -1.030233466 0.0000 -0.002833 -0.0002500063 -0.040842917.5 0.0000 0.2133753791 0.0000 -0.001971 -0.0001739464 0.042364117.6 0.0000 0.6339066737 0.0000 0.0058002 0.000511867 -0.0286478417.7 0.0000 -1.206863392 0.0000 -0.00734 -0.0006477277 0.0054559417.8 0.0000 1.3159822604 0.0000 0.0061676 0.0005442884 0.0183843817.9 0.0000 -0.948294697 0.0000 -0.002855 -0.0002519896 -0.03430994

18 0.0000 0.2620959432 0.0000 -0.001292 -0.0001140145 0.0370694418.1 0.0000 0.479292852 0.0000 0.0047443 0.0004186773 -0.026415618.2 0.0000 -1.007604923 0.0000 -0.006306 -0.0005564792 0.0069124718.3 0.0000 1.1458543919 0.0000 0.0055242 0.000487508 0.0139672718.4 0.0000 -0.866508997 0.0000 -0.002811 -0.000248049 -0.0286784118.5 0.0000 0.2929408158 0.0000 -0.000756 -6.667448E-05 0.032305918.6 0.0000 0.3531771587 0.0000 0.0038512 0.0003398695 -0.0241750218.7 0.0000 -0.836677558 0.0000 -0.005396 -0.0004761578 0.0078544718.8 0.0000 0.9937670455 0.0000 0.0049234 0.0004344861 0.010358418.9 0.0000 -0.786598977 0.0000 -0.002717 -0.0002397566 -0.02384326

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19 0.0000 0.3097338319 0.0000 -0.000338 -2.978435E-05 0.028042719.1 0.0000 0.2511202235 0.0000 0.0030995 0.0002735294 -0.0219764319.2 0.0000 -0.690648764 0.0000 -0.004598 -0.0004057497 0.0083908419.3 0.0000 0.8584656445 0.0000 0.0043674 0.0003854207 0.0074325619.4 0.0000 -0.709814372 0.0000 -0.002588 -0.0002283837 -0.0197086519.5 0.0000 0.3156413577 0.0000 -1.716E-05 -1.514789E-06 0.0242460319.6 0.0000 0.169279213 0.0000 0.0024698 0.0002179555 -0.0198566219.7 0.0000 -0.566411677 0.0000 -0.003901 -0.000344282 0.0086118719.8 0.0000 0.7386491539 0.0000 0.003857 0.000340375 0.0050812719.9 0.0000 -0.63702385 0.0000 -0.002436 -0.0002149485 -0.01618773

20 0.0000 0.3132691794 0.0000 0.0002231 1.9689829E-05 0.0208805

Masa M 0.9144Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.3024

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 1.6 MAX Uivelocidad inicial Ůo 1.7 MAX U´iaceleracion inicial ϋ o 1.8 MAX U´´i

periodo de la estru T 1.9

CALCULOS INICIALES WnÜo 10.082544575 TnΔt 10.089119451 estabilidad^K 10.10 10.1 NO ESTABLEa 0.97 1.45b 1.83 2.7584

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.082544575 5.0000 5.2774375 0.4657306926 5.914613850.1 5.0000 108.20973247 3.6603 5.2223533 0.4608695504 -6.01183670.2 8.6603 -228.4464664 1.3397 0.3958359 0.0349322812 -2.506908690.3 10.0000 178.30829264 -1.3397 -0.556813 -0.0491383849 0.825495360.4 8.6603 -161.7983853 -3.6603 -4.490405 -0.396275533 -7.768238330.5 5.0000 6.4336188394 -5.0000 -6.012235 -0.5305761607 5.082225770.6 0.0000 95.210896582 0.0000 0.1142251 0.0100802926 5.730903290.7 0.0000 19.407169295 0.0000 0.4932811 0.0435317621 -5.06187390.8 0.0000 -120.6446473 0.0000 -0.890229 -0.0785621924 2.619994810.9 0.0000 173.04454361 0.0000 0.9464756 0.0835259074 0.62176718

1 0.0000 -160.6092 0.0000 -0.661044 -0.0583367656 -3.459020641.1 0.0000 91.428787141 0.0000 0.1552189 0.0136979766 4.899715491.2 0.0000 6.565522583 0.0000 0.3777044 0.0333321833 -4.507031351.3 0.0000 -96.70614962 0.0000 -0.745597 -0.0657984935 2.524417811.4 0.0000 147.19450592 0.0000 0.8261498 0.0729072258 0.249696571.5 0.0000 -142.2005745 0.0000 -0.606695 -0.0535404834 -2.77865076

CASOS

ESPECIA

LES

D4000
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D4002
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C4003
estos son datos iniciales?
C4005
esta es igual a la aceleracion del sismo?
G4010
REVIZAR….
B4011
caso de aceleracion promedio
C4011
caso de aceleracion promedio
B4012
este es para el caso de aceleracion promedio
C4012
este es para el caso de aceleracion promedio
B4013
para el caso de aceleracion promedio
C4013
para el caso de aceleracion promedio
A4016
el tiempo lo vamos a variar
B4016
ESTE ES EL DATO QUE VA A VARIAR
D4016
este dato no es igual al de la segunda columna?
C4017
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 116: Hojas de Calculo Fransua

1.6 0.0000 86.627559397 0.0000 0.1825783 0.0161124285 4.171708991.7 0.0000 -3.193379512 0.0000 0.2830123 0.024975662 -3.994444331.8 0.0000 -76.69550699 0.0000 -0.621223 -0.0548225407 2.398480271.9 0.0000 124.66511244 0.0000 0.7182449 0.0633846786 -0.03433589

2 0.0000 -125.3518302 0.0000 -0.552928 -0.0487955348 -2.209268382.1 0.0000 81.166462506 0.0000 0.1991373 0.0175737514 3.536654112.2 0.0000 -10.43338036 0.0000 0.2060003 0.0181794028 -3.524541082.3 0.0000 -60.05744123 0.0000 -0.514698 -0.0454218281 2.252516462.4 0.0000 105.10777044 0.0000 0.6219658 0.0548881059 -0.246317782.5 0.0000 -110.034126 0.0000 -0.500754 -0.0441912018 -1.735268372.6 0.0000 75.328758521 0.0000 0.207251 0.0182897789 2.984887992.7 0.0000 -15.63099876 0.0000 0.1438878 0.012698015 -3.096723272.8 0.0000 -46.30346656 0.0000 -0.423836 -0.0374032848 2.094697272.9 0.0000 88.197411966 0.0000 0.5364668 0.0473428708 -0.39977416

3 0.0000 -96.19289515 0.0000 -0.450896 -0.0397913227 -1.342909713.1 0.0000 69.334700947 0.0000 0.208865 0.0184322124 2.507380413.2 0.0000 -19.18709269 0.0000 0.0942715 0.008319405 -2.709636563.3 0.0000 -35.00563853 0.0000 -0.34666 -0.0305925518 1.931397433.4 0.0000 73.633587035 0.0000 0.4608823 0.0406725906 -0.506094583.5 0.0000 -83.75547859 0.0000 -0.403848 -0.035639306 -1.020143353.6 0.0000 63.352611529 0.0000 0.2055764 0.0181419956 2.095769383.7 0.0000 -21.43722383 0.0000 0.0550823 0.0048609835 -2.361389633.8 0.0000 -25.79056874 0.0000 -0.281396 -0.0248330391 1.767509183.9 0.0000 61.140752282 0.0000 0.3943508 0.0348012201 -0.57482399

4 0.0000 -72.63723215 0.0000 -0.359915 -0.0317623243 -0.75644694.1 0.0000 57.50829424 0.0000 0.1986869 0.0175340019 1.742373424.2 0.0000 -22.66082583 0.0000 0.0245462 0.0021661894 -2.049729674.3 0.0000 -18.33376757 0.0000 -0.226459 -0.0199848359 1.606709164.4 0.0000 50.467950833 0.0000 0.3360318 0.0296546041 -0.613920364.5 0.0000 -62.7463581 0.0000 -0.319263 -0.0281748063 -0.542667844.6 0.0000 51.893001241 0.0000 0.1892489 0.0167011062 1.440186094.7 0.0000 -23.08927939 0.0000 0.0011482 0.0001013265 -1.772181694.8 0.0000 -12.35435435 0.0000 -0.180438 -0.0159235359 1.451684444.9 0.0000 41.388043153 0.0000 0.2851192 0.0251615994 -0.62998173

5 0.0000 -53.98767784 0.0000 -0.281943 -0.0248813249 -0.370876755.1 0.0000 46.570142823 0.0000 0.1781056 0.0157177083 1.182857415.2 0.0000 -22.91299456 0.0000 -0.0164 -0.0014472989 -1.526157565.3 0.0000 -7.610156596 0.0000 -0.142086 -0.0125390229 1.304323085.4 0.0000 33.696618154 0.0000 0.2408498 0.021254851 -0.62844565.5 0.0000 -46.26553014 0.0000 -0.247922 -0.0218789737 -0.23423095.6 0.0000 41.580912214 0.0000 0.1659249 0.0146427692 0.964665755.7 0.0000 -22.28759712 0.0000 -0.029189 -0.0025759515 -1.309040175.8 0.0000 -3.89320624 0.0000 -0.110304 -0.0097342548 1.16587415.9 0.0000 27.210688291 0.0000 0.2025089 0.0178712908 -0.61376319

6 0.0000 -39.4859521 0.0000 -0.217104 -0.0191593075 -0.126848786.1 0.0000 36.948976564 0.0000 0.1532296 0.013522418 0.780483296.2 0.0000 -21.33931085 0.0000 -0.038139 -0.00336577 -1.118247056.3 0.0000 -1.025630053 0.0000 -0.084126 -0.00742407 1.03708105

Page 117: Hojas de Calculo Fransua

6.4 0.0000 21.767250973 0.0000 0.1694337 0.0149524197 -0.589551256.5 0.0000 -33.55827604 0.0000 -0.189349 -0.0167099142 -0.043695426.6 0.0000 32.684367557 0.0000 0.1404223 0.0123921799 0.625737316.7 0.0000 -20.16962141 0.0000 -0.044021 -0.0038848179 -0.951277266.8 0.0000 1.1440761293 0.0000 -0.062709 -0.0055340386 0.918292856.9 0.0000 17.221780839 0.0000 0.1410142 0.0124444197 -0.55872368

7 0.0000 -28.39625448 0.0000 -0.164485 -0.0145156785 0.019521727.1 0.0000 28.786688825 0.0000 0.1278068 0.0112788742 0.496369347.2 0.0000 -18.8593021 0.0000 -0.047478 -0.0041899004 -0.805744837.3 0.0000 2.7444055696 0.0000 -0.045319 -0.003999371 0.809555417.4 0.0000 13.446702708 0.0000 0.1166936 0.0102981379 -0.523605247.5 0.0000 -23.91880743 0.0000 -0.142321 -0.0125597859 0.066446767.6 0.0000 25.24774262 0.0000 0.1156067 0.0102022216 0.388793397.7 0.0000 -17.4718748 0.0000 -0.049045 -0.004328168 -0.679401187.8 0.0000 3.8838511397 0.0000 -0.031319 -0.002763892 0.71068677.9 0.0000 10.329882947 0.0000 0.0959664 0.0084689733 -0.4860294

8 0.0000 -20.05047091 0.0000 -0.122658 -0.0108245113 0.10015978.1 0.0000 22.053665009 0.0000 0.1039803 0.0091762028 0.299854588.2 0.0000 -16.05657345 0.0000 -0.049162 -0.0043385253 -0.570149148.3 0.0000 4.6535906506 0.0000 -0.02016 -0.0017790879 0.621337898.4 0.0000 7.7731671093 0.0000 0.0783767 0.0069166946 -0.447422248.5 0.0000 -16.72161186 0.0000 -0.105291 -0.0092918295 0.123251768.6 0.0000 19.186646982 0.0000 0.093034 0.0082101979 0.226788798.7 0.0000 -14.65087115 0.0000 -0.048191 -0.0042528633 -0.476050028.8 0.0000 5.129870818 0.0000 -0.011368 -0.0010032278 0.541042738.9 0.0000 5.6909837263 0.0000 0.0635155 0.005605209 -0.40887399

9 0.0000 -13.86846353 0.0000 -0.090016 -0.0079438783 0.137892249.1 0.0000 16.62630841 0.0000 0.0828327 0.0073099398 0.167184129.2 0.0000 -13.28262604 0.0000 -0.046427 -0.0040971339 -0.395325599.3 0.0000 5.3761141954 0.0000 -0.004539 -0.0004005588 0.469257099.4 0.0000 4.0090276895 0.0000 0.0510179 0.0045023008 -0.37119999.5 0.0000 -11.43302573 0.0000 -0.076639 -0.0067633026 0.145887839.6 0.0000 14.350782398 0.0000 0.0734091 0.0064783064 0.118944359.7 0.0000 -11.97189548 0.0000 -0.044105 -0.0038922818 -0.326356119.8 0.0000 5.4447732601 0.0000 0.0006734 5.9424781E-05 0.405390249.9 0.0000 2.6630316073 0.0000 0.0405595 0.0035793513 -0.3349917110 0.0000 -9.362865872 0.0000 -0.064969 -0.0057335005 0.14873468

10.1 0.0000 12.33755941 0.0000 0.0647707 0.0057159753 0.0802548410.2 0.0000 -10.73246262 0.0000 -0.041417 -0.0036550512 -0.2676753710.3 0.0000 5.3789552109 0.0000 0.0045625 0.000402642 0.3488292410.4 0.0000 1.5976294946 0.0000 0.0318535 0.0028110521 -0.3006610310.5 0.0000 -7.610850189 0.0000 -0.054831 -0.0048387919 0.1476641610.6 0.0000 10.564133301 0.0000 0.0569065 0.0050219618 0.0495509210.7 0.0000 -9.573114922 0.0000 -0.038512 -0.0033986794 -0.2179637410.8 0.0000 5.2138400597 0.0000 0.007377 0.0006510188 0.2989577110.9 0.0000 0.7653140849 0.0000 0.0246474 0.0021751188 -0.26847571

11 0.0000 -6.134828229 0.0000 -0.046057 -0.0040645244 0.1436828411.1 0.0000 9.0084850763 0.0000 0.0497914 0.0043940574 0.02548879

Page 118: Hojas de Calculo Fransua

11.2 0.0000 -8.498709183 0.0000 -0.035507 -0.0031334923 -0.1760397911.3 0.0000 4.9779133774 0.0000 0.0093261 0.0008230184 0.2551711.4 0.0000 0.1254867096 0.0000 0.0187198 0.001652012 -0.2385901311.5 0.0000 -4.897289331 0.0000 -0.038495 -0.0033971311 0.1376072711.6 0.0000 7.6494347062 0.0000 0.0433905 0.0038291846 0.0069190511.7 0.0000 -7.511053803 0.0000 -0.032492 -0.0028674134 -0.1408510111.8 0.0000 4.6940336852 0.0000 0.0105849 0.0009341129 0.2168815311.9 0.0000 -0.356403037 0.0000 0.0138774 0.0012246684 -0.21107042

12 0.0000 -3.865005416 0.0000 -0.032002 -0.0028241499 0.1300940612.1 0.0000 6.4668865465 0.0000 0.0376624 0.0033236812 -0.0071374312.2 0.0000 -6.609635212 0.0000 -0.029534 -0.0026063959 -0.1114641112.3 0.0000 4.3803530238 0.0000 0.0112998 0.0009972015 0.1835360612.4 0.0000 -0.709631865 0.0000 0.0099519 0.0008782466 -0.1859151612.5 0.0000 -3.008671249 0.0000 -0.02645 -0.0023342148 0.1216659312.6 0.0000 5.4419897922 0.0000 0.0325614 0.0028735263 -0.0175111112.7 0.0000 -5.792211894 0.0000 -0.026683 -0.0023547893 -0.0870552112.8 0.0000 4.0511077383 0.0000 0.0115919 0.0010229785 0.1546105612.9 0.0000 -0.958896442 0.0000 0.0067977 0.0005998893 -0.16307235

13 0.0000 -2.302550557 0.0000 -0.021723 -0.001917025 0.1127340613.1 0.0000 4.5572318427 0.0000 0.02804 0.0024745166 -0.0249032313.2 0.0000 -5.055296484 0.0000 -0.023974 -0.0021156486 -0.0669000713.3 0.0000 3.7172950388 0.0000 0.0115611 0.0010202566 0.1296181813.4 0.0000 -1.124931514 0.0000 0.004289 0.0003785012 -0.1424532813.5 0.0000 -1.724134146 0.0000 -0.017715 -0.0015632997 0.1036172613.6 0.0000 3.796479411 0.0000 0.0240501 0.0021224028 -0.0299032113.7 0.0000 -4.39454365 0.0000 -0.021428 -0.0018909933 -0.0503647113.8 0.0000 3.387249444 0.0000 0.011289 0.0009962494 0.1081095613.9 0.0000 -1.225058144 0.0000 0.0023178 0.0002045464 -0.12394363

14 0.0000 -1.253814357 0.0000 -0.014331 -0.0012647217 0.0945582614.1 0.0000 3.1449796117 0.0000 0.020544 0.0018129928 -0.0330039714.2 0.0000 -3.805059068 0.0000 -0.01906 -0.0016820239 -0.0368963614.3 0.0000 3.0671318338 0.0000 0.0108422 0.0009568181 0.089673214.4 0.0000 -1.273667812 0.0000 0.0007916 6.9861604E-05 -0.1074123314.5 0.0000 -0.874578794 0.0000 -0.011489 -0.0010138743 0.0857376114.6 0.0000 2.5893310526 0.0000 0.0174758 0.0015422274 -0.0346155814.7 0.0000 -3.28164264 0.0000 -0.016876 -0.0014893019 -0.0260150114.8 0.0000 2.7613425197 0.0000 0.0102741 0.000906684 0.0739347214.9 0.0000 -1.282648053 0.0000 -0.000368 -3.251258E-05 -0.09271866

15 0.0000 -0.57172505 0.0000 -0.009113 -0.0008041752 0.077285415.1 0.0000 2.1174330837 0.0000 0.0148016 0.0013062345 -0.0350772115.2 0.0000 -2.818977237 0.0000 -0.014877 -0.0013128977 -0.0173054415.3 0.0000 2.4728685169 0.0000 0.0096274 0.0008496139 0.0605556715.4 0.0000 -1.26175515 0.0000 -0.001229 -0.0001084839 -0.0797176215.5 0.0000 -0.332597327 0.0000 -0.007137 -0.0006298089 0.0692911215.6 0.0000 1.718419779 0.0000 0.0124801 0.0011013652 -0.0346676415.7 0.0000 -2.411772569 0.0000 -0.01306 -0.001152513 -0.0104099315.8 0.0000 2.2035740585 0.0000 0.0089358 0.000788578 0.0492317515.9 0.0000 -1.218939143 0.0000 -0.001848 -0.0001630454 -0.06826421

Page 119: Hojas de Calculo Fransua

16 0.0000 -0.146345108 0.0000 -0.005503 -0.000485659 0.0618119416.1 0.0000 1.3825839079 0.0000 0.0104728 0.0009242169 -0.0336144216.2 0.0000 -2.054872363 0.0000 -0.011417 -0.0010075793 -0.005021516.3 0.0000 1.9544423481 0.0000 0.0082254 0.0007258862 0.0396908116.4 0.0000 -1.160626137 0.0000 -0.002271 -0.0002003975 -0.0582164816.5 0.0000 -0.003703547 0.0000 -0.004161 -0.000367243 0.0548795716.6 0.0000 1.1012950446 0.0000 0.0087439 0.000771644 -0.0321018316.7 0.0000 -1.743331739 0.0000 -0.009942 -0.0008773381 -0.0008778116.8 0.0000 1.725775587 0.0000 0.0075162 0.0006633042 0.0316906516.9 0.0000 -1.091962538 0.0000 -0.002539 -0.0002240567 -0.04943787

17 0.0000 0.1032051445 0.0000 -0.003067 -0.0002706497 0.0485060117.1 0.0000 0.8669150515 0.0000 0.0072608 0.0006407619 -0.0302777817.2 0.0000 -1.472470614 0.0000 -0.008622 -0.0007609049 0.0022444417.3 0.0000 1.5173594435 0.0000 0.0068233 0.0006021519 0.025016717.4 0.0000 -1.017025534 0.0000 -0.002685 -0.0002369514 -0.0417987617.5 0.0000 0.1810503164 0.0000 -0.002181 -0.0001924801 0.0426881917.6 0.0000 0.6727134162 0.0000 0.0059937 0.0005289428 -0.0282597317.7 0.0000 -1.237907993 0.0000 -0.007448 -0.0006573202 0.0045344717.8 0.0000 1.3285973535 0.0000 0.0061574 0.0005433872 0.0194796817.9 0.0000 -0.939003745 0.0000 -0.002737 -0.0002415065 -0.03517755

18 0.0000 0.2354526707 0.0000 -0.001471 -0.0001297917 0.0374118518.1 0.0000 0.5127843 0.0000 0.0049157 0.0004338084 -0.0261398518.2 0.0000 -1.03558121 0.0000 -0.006409 -0.0005655886 0.0061519118.3 0.0000 1.1586193312 0.0000 0.0055261 0.0004876759 0.0149133818.4 0.0000 -0.860351656 0.0000 -0.002716 -0.0002397177 -0.0294612618.5 0.0000 0.2711265161 0.0000 -0.000907 -8.004764E-05 0.0326546618.6 0.0000 0.3819666567 0.0000 0.0040025 0.0003532182 -0.0239893418.7 0.0000 -0.861753488 0.0000 -0.005492 -0.0004847092 0.0072307918.8 0.0000 1.0063693494 0.0000 0.0049343 0.0004354511 0.0111724118.9 0.0000 -0.782921083 0.0000 -0.002643 -0.0002332164 -0.02454576

19 0.0000 0.292005823 0.0000 -0.000465 -4.106904E-05 0.0283887119.1 0.0000 0.2757683696 0.0000 0.0032324 0.0002852559 -0.0218622119.2 0.0000 -0.713012575 0.0000 -0.004688 -0.0004136991 0.0078831119.3 0.0000 0.8706747877 0.0000 0.0043849 0.0003869619 0.0081301119.4 0.0000 -0.708072611 0.0000 -0.002531 -0.0002233256 -0.0203358619.5 0.0000 0.3013554326 0.0000 -0.000125 -1.099237E-05 0.0245825219.6 0.0000 0.1902950309 0.0000 0.002586 0.0002282145 -0.0197983919.7 0.0000 -0.586262748 0.0000 -0.003984 -0.0003516093 0.0082019119.8 0.0000 0.7503009538 0.0000 0.0038789 0.0003423145 0.0056765719.9 0.0000 -0.636769626 0.0000 -0.002392 -0.0002111093 -0.01674504

20 0.0000 0.3018687542 0.0000 0.0001334 1.1769723E-05 0.02120262

Masa M 1.0132Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.3183

Acel sismo As 0Carga Po 0

CASOS

ESPECIA

LES

D4222
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D4224
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
Page 120: Hojas de Calculo Fransua

desplazamiento iniciak Uo 1.7 MAX Uivelocidad inicial Ůo 1.8 MAX U´iaceleracion inicial ϋ o 1.9 MAX U´´i

periodo de la estru T 2

CALCULOS INICIALES WnÜo 10.089119451 TnΔt 10.095878271 estabilidad^K 10.10 10.2 NO ESTABLEa 1.04 1.56b 2.03 3.0556

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.089119451 5.0000 5.290786 0.466908692 5.738173840.1 5.0000 104.67435736 3.6603 5.1942647 0.4583907507 -5.908532670.2 8.6603 -222.8450107 1.3397 0.4277902 0.0377522298 -2.504237750.3 10.0000 172.7602557 -1.3397 -0.580987 -0.0512717295 0.723758570.4 8.6603 -158.2850844 -3.6603 -4.48222 -0.395553233 -7.609388640.5 5.0000 6.0973116887 -5.0000 -6.002402 -0.5297083517 4.926286260.6 0.0000 92.428413544 0.0000 0.0909025 0.0080220907 5.828322580.7 0.0000 24.138038155 0.0000 0.5209932 0.0459773398 -5.06921760.8 0.0000 -125.5223902 0.0000 -0.912173 -0.0804986939 2.539696930.9 0.0000 176.31632882 0.0000 0.9551263 0.0842893216 0.75606338

1 0.0000 -161.1950612 0.0000 -0.654055 -0.0577199544 -3.59624891.1 0.0000 89.27008324 0.0000 0.135968 0.0119990923 4.990629831.2 0.0000 10.542513411 0.0000 0.4016427 0.0354447232 -4.521717221.3 0.0000 -100.9768577 0.0000 -0.765398 -0.0675458753 2.461905251.4 0.0000 150.21496265 0.0000 0.8349631 0.0736849937 0.362712131.5 0.0000 -142.96072 0.0000 -0.601986 -0.0531249341 -2.898910691.6 0.0000 84.982506249 0.0000 0.1667913 0.01471923 4.255793971.7 0.0000 0.1333731338 0.0000 0.3036088 0.0267932908 -4.014312751.8 0.0000 -80.41962821 0.0000 -0.638992 -0.0563906591 2.350633761.9 0.0000 127.43230333 0.0000 0.7269902 0.0641564492 0.06030841

2 0.0000 -126.2261351 0.0000 -0.550028 -0.0485396649 -2.314230692.1 0.0000 79.941521217 0.0000 0.1862844 0.0164394899 3.613813792.2 0.0000 -7.665245414 0.0000 0.2236505 0.0197370251 -3.547863092.3 0.0000 -63.29201631 0.0000 -0.530564 -0.0468219251 2.216684082.4 0.0000 107.62569794 0.0000 0.6304719 0.0556387669 -0.167470242.5 0.0000 -110.9751028 0.0000 -0.499272 -0.0440604305 -1.82651372.6 0.0000 74.444828723 0.0000 0.1968724 0.0173738672 3.055199662.7 0.0000 -13.34083555 0.0000 0.1589515 0.0140273706 -3.122129592.8 0.0000 -49.10175628 0.0000 -0.437934 -0.0386473974 2.068634232.9 0.0000 90.474440897 0.0000 0.5446106 0.0480615585 -0.33445511

3 0.0000 -97.16354318 0.0000 -0.450508 -0.0397570577 -1.421917213.1 0.0000 68.72519898 0.0000 0.2005629 0.0176995519 2.57104943.2 0.0000 -17.30421093 0.0000 0.1070736 0.0094491799 -2.736056843.3 0.0000 -37.4169259 0.0000 -0.359131 -0.0316930539 1.91321217

C4225
estos son datos iniciales?
C4227
esta es igual a la aceleracion del sismo?
G4232
REVIZAR….
B4233
caso de aceleracion promedio
C4233
caso de aceleracion promedio
B4234
este es para el caso de aceleracion promedio
C4234
este es para el caso de aceleracion promedio
B4235
para el caso de aceleracion promedio
C4235
para el caso de aceleracion promedio
A4238
el tiempo lo vamos a variar
B4238
ESTE ES EL DATO QUE VA A VARIAR
D4238
este dato no es igual al de la segunda columna?
C4239
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 121: Hojas de Calculo Fransua

3.4 0.0000 75.68116921 0.0000 0.4685795 0.0413518574 -0.452313943.5 0.0000 -84.727448 0.0000 -0.404287 -0.0356780555 -1.088284323.6 0.0000 62.961761613 0.0000 0.1990082 0.0175623538 2.153092513.7 0.0000 -19.89991148 0.0000 0.065915 0.0058169591 -2.38800043.8 0.0000 -27.86009654 0.0000 -0.292379 -0.0258022901 1.755615423.9 0.0000 62.972404878 0.0000 0.4015476 0.0354363371 -0.53084287

4 0.0000 -73.58926234 0.0000 -0.360965 -0.0318549225 -0.814982324.1 0.0000 57.28961596 0.0000 0.1935587 0.017081442 1.793709614.2 0.0000 -21.4154238 0.0000 0.0336707 0.0029714166 -2.075910114.3 0.0000 -20.1027785 0.0000 -0.236091 -0.0208349184 1.599783414.4 0.0000 52.098446793 0.0000 0.342699 0.0302429802 -0.578225444.5 0.0000 -63.66295565 0.0000 -0.320747 -0.0283057396 -0.592748954.6 0.0000 51.807976619 0.0000 0.1853097 0.0163534667 1.485933084.7 0.0000 -22.08931507 0.0000 0.0087968 0.0007763147 -1.797476124.8 0.0000 -13.86020727 0.0000 -0.188852 -0.0166660648 1.448628534.9 0.0000 42.832777804 0.0000 0.2912462 0.0257023006 -0.60126122

5 0.0000 -54.85800218 0.0000 -0.28372 -0.0250381493 -0.413547785.1 0.0000 46.587046595 0.0000 0.1751415 0.0154561327 1.223433425.2 0.0000 -22.11837822 0.0000 -0.010021 -0.000884385 -1.550243775.3 0.0000 -8.886497215 0.0000 -0.149406 -0.013185013 1.304231215.4 0.0000 34.971121452 0.0000 0.2464402 0.0217482043 -0.605566875.5 0.0000 -47.08245877 0.0000 -0.249881 -0.0220518121 -0.270433465.6 0.0000 41.673789526 0.0000 0.163755 0.014451282 1.000495345.7 0.0000 -21.66388265 0.0000 -0.023899 -0.0021090946 -1.331702885.8 0.0000 -4.970174876 0.0000 -0.116647 -0.0102940341 1.168004095.9 0.0000 28.330256617 0.0000 0.2075772 0.0183185606 -0.59575219

6 0.0000 -40.24530049 0.0000 -0.219156 -0.0193404176 -0.157427376.1 0.0000 37.096753081 0.0000 0.1517013 0.0133875455 0.811986636.2 0.0000 -20.85702045 0.0000 -0.033778 -0.0029809059 -1.139355666.3 0.0000 -1.930092742 0.0000 -0.089601 -0.0079072297 1.040829186.4 0.0000 22.746676415 0.0000 0.1740017 0.0153555452 -0.575573686.5 0.0000 -34.25815011 0.0000 -0.191427 -0.0168933195 -0.069403616.6 0.0000 32.870077906 0.0000 0.1394073 0.0123026122 0.653322246.7 0.0000 -19.80363302 0.0000 -0.04045 -0.003569648 -0.970767456.8 0.0000 0.3882840645 0.0000 -0.067416 -0.005949412 0.923172176.9 0.0000 18.075159289 0.0000 0.1451092 0.0128058039 -0.54806785

7 0.0000 -29.03651629 0.0000 -0.166538 -0.0146968536 -0.00198537.1 0.0000 28.996810274 0.0000 0.1271982 0.0112251652 0.520425687.2 0.0000 -18.58829671 0.0000 -0.044575 -0.0039337131 -0.823603247.3 0.0000 2.1162318357 0.0000 -0.049349 -0.0043550328 0.815176857.4 0.0000 14.187305137 0.0000 0.1203462 0.0106204792 -0.515666617.5 0.0000 -24.5006373 0.0000 -0.144311 -0.0127353896 0.048549237.6 0.0000 25.471621923 0.0000 0.1153155 0.010176525 0.409689067.7 0.0000 -17.2778407 0.0000 -0.046705 -0.0041216711 -0.695652987.8 0.0000 3.3647810539 0.0000 -0.034756 -0.0030671756 0.716742897.9 0.0000 10.970076759 0.0000 0.099209 0.0087551333 -0.48029671

8 0.0000 -20.57601098 0.0000 -0.124558 -0.0109921613 0.085350828.1 0.0000 22.283027359 0.0000 0.1039332 0.0091720388 0.31793318

Page 122: Hojas de Calculo Fransua

8.2 0.0000 -15.92436369 0.0000 -0.047294 -0.0041736895 -0.584847758.3 0.0000 4.2274086953 0.0000 -0.023078 -0.0020366135 0.627589278.4 0.0000 8.3243767013 0.0000 0.0812424 0.0071695955 -0.443465098.5 0.0000 -17.19367851 0.0000 -0.107082 -0.0094499127 0.111074938.6 0.0000 19.415177043 0.0000 0.0931706 0.0082222501 0.242368338.7 0.0000 -14.56781046 0.0000 -0.046717 -0.0041227782 -0.48926898.8 0.0000 4.7824325551 0.0000 -0.013835 -0.0012209384 0.547305698.9 0.0000 6.1636812461 0.0000 0.0660373 0.0058277556 -0.40633181

9 0.0000 -14.29031745 0.0000 -0.091688 -0.0080913927 0.127948849.1 0.0000 16.84929434 0.0000 0.083104 0.0073338773 0.180556569.2 0.0000 -13.23816321 0.0000 -0.045279 -0.0039958757 -0.407151629.3 0.0000 5.0951308497 0.0000 -0.006615 -0.0005837629 0.475393879.4 0.0000 4.4127466268 0.0000 0.0532278 0.004697322 -0.369772189.5 0.0000 -11.80819015 0.0000 -0.078184 -0.0068997254 0.137831239.6 0.0000 14.564814722 0.0000 0.0737753 0.0065106298 0.130375879.7 0.0000 -11.95729723 0.0000 -0.043227 -0.0038147935 -0.336884349.8 0.0000 5.2196104301 0.0000 -0.001065 -9.399142E-05 0.411300389.9 0.0000 3.0063971801 0.0000 0.0424882 0.0037495585 -0.3344293810 0.0000 -9.694984808 0.0000 -0.066388 -0.0058586789 0.14226463

10.1 0.0000 12.540277454 0.0000 0.0652003 0.0057538832 0.0899866110.2 0.0000 -10.74054527 0.0000 -0.04076 -0.0035970333 -0.2770049410.3 0.0000 5.2004464947 0.0000 0.0031143 0.0002748384 0.3544423710.4 0.0000 1.888400965 0.0000 0.0335301 0.0029590104 -0.3007589310.5 0.0000 -7.903579628 0.0000 -0.056123 -0.0049528536 0.1425216510.6 0.0000 10.754012702 0.0000 0.0573742 0.0050632358 0.0578001310.7 0.0000 -9.598010012 0.0000 -0.038034 -0.0033564928 -0.2261947110.8 0.0000 5.0741158625 0.0000 0.0061774 0.0005451492 0.3042275510.9 0.0000 1.0104350966 0.0000 0.0260991 0.0023032283 -0.26906597

11 0.0000 -6.391754412 0.0000 -0.047228 -0.0041678044 0.1396453111.1 0.0000 9.1846606353 0.0000 0.0502776 0.0044369637 0.0324500511.2 0.0000 -8.535659606 0.0000 -0.035174 -0.0031040708 -0.1832707411.3 0.0000 4.8702447773 0.0000 0.0083384 0.0007358554 0.2600692711.4 0.0000 0.3311405494 0.0000 0.0199718 0.0017624975 -0.2395364211.5 0.0000 -5.121869042 0.0000 -0.039548 -0.0034901125 0.1344842211.6 0.0000 7.8115535247 0.0000 0.0438801 0.0038723894 0.0127658111.7 0.0000 -7.556237229 0.0000 -0.032274 -0.0028481855 -0.1471773111.8 0.0000 4.6126909379 0.0000 0.0097773 0.0008628369 0.2213977611.9 0.0000 -0.18473568 0.0000 0.0149528 0.0013195757 -0.21226299

12 0.0000 -4.060524049 0.0000 -0.032945 -0.0029074162 0.1277231512.1 0.0000 6.6149870022 0.0000 0.0381439 0.0033661794 -0.0022512312.2 0.0000 -6.660011697 0.0000 -0.029408 -0.0025952164 -0.1169766812.3 0.0000 4.3204780765 0.0000 0.0106444 0.0009393585 0.1876681812.4 0.0000 -0.567114511 0.0000 0.010872 0.0009594434 -0.1872664812.5 0.0000 -3.178215102 0.0000 -0.027291 -0.0024084122 0.1199093712.6 0.0000 5.5764024767 0.0000 0.0330266 0.0029145801 -0.0134495212.7 0.0000 -5.845392903 0.0000 -0.026628 -0.0023498782 -0.0918396512.8 0.0000 4.0085999827 0.0000 0.0110646 0.0009764414 0.1583660412.9 0.0000 -0.841279223 0.0000 0.0075816 0.0006690693 -0.16451348

Page 123: Hojas de Calculo Fransua

13 0.0000 -2.448990358 0.0000 -0.022469 -0.0019828328 0.1114754413.1 0.0000 4.6784990776 0.0000 0.028483 0.0025136047 -0.0215466913.2 0.0000 -5.109432778 0.0000 -0.023972 -0.0021155379 -0.0710361713.3 0.0000 3.6887094372 0.0000 0.011141 0.0009831888 0.133010713.4 0.0000 -1.028495406 0.0000 0.0049541 0.000437192 -0.1439306413.5 0.0000 -1.850117362 0.0000 -0.018373 -0.0016214073 0.1027586513.6 0.0000 3.9052904119 0.0000 0.0244668 0.0021591771 -0.0271469613.7 0.0000 -4.448229704 0.0000 -0.021467 -0.0018944801 -0.0539261813.8 0.0000 3.3697061172 0.0000 0.0109584 0.0009670718 0.1111572213.9 0.0000 -1.146561766 0.0000 0.0028795 0.0002541177 -0.1254163

14 0.0000 -1.361764244 0.0000 -0.01491 -0.001315811 0.0940177314.1 0.0000 3.2421187674 0.0000 0.0209321 0.0018472423 -0.0307566614.2 0.0000 -3.857251933 0.0000 -0.019129 -0.0016881299 -0.0399507914.3 0.0000 3.0582361789 0.0000 0.0105857 0.0009341779 0.0923969414.4 0.0000 -1.210297302 0.0000 0.0012639 0.0001115355 -0.1088497914.5 0.0000 -0.966698507 0.0000 -0.011996 -0.0010586074 0.0854469314.6 0.0000 2.6756371406 0.0000 0.0178341 0.0015738486 -0.0327978114.7 0.0000 -3.331593368 0.0000 -0.016966 -0.0014972381 -0.0286239214.8 0.0000 2.759114935 0.0000 0.0100786 0.0008894274 0.0763572314.9 0.0000 -1.231970322 0.0000 2.662E-05 2.3494552E-06 -0.09409879

15 0.0000 -0.650005468 0.0000 -0.009555 -0.0008431848 0.077188115.1 0.0000 2.193767554 0.0000 0.0151299 0.0013352063 -0.0336202815.2 0.0000 -2.866173196 0.0000 -0.014981 -0.0013220337 -0.0195245215.3 0.0000 2.4756828339 0.0000 0.0094818 0.0008367608 0.0627004115.4 0.0000 -1.221674671 0.0000 -0.000901 -7.947417E-05 -0.0810251115.5 0.0000 -0.398827477 0.0000 -0.007521 -0.0006636919 0.0693407515.6 0.0000 1.7856425127 0.0000 0.0127789 0.0011277291 -0.0335123315.7 0.0000 -2.455889148 0.0000 -0.013171 -0.0011623509 -0.0122892715.8 0.0000 2.2101038222 0.0000 0.0088307 0.0007792996 0.0511222715.9 0.0000 -1.187658324 0.0000 -0.001576 -0.0001390433 -0.06948913

16 0.0000 -0.202124322 0.0000 -0.005835 -0.000514973 0.0619705416.1 0.0000 1.4415350958 0.0000 0.010743 0.0009480598 -0.0327098816.2 0.0000 -2.095732758 0.0000 -0.011532 -0.0010177309 -0.0066059316.3 0.0000 1.9636141302 0.0000 0.0081529 0.0007194848 0.0413502516.4 0.0000 -1.136609222 0.0000 -0.002047 -0.0001806626 -0.0593531916.5 0.0000 -0.050454652 0.0000 -0.004448 -0.0003925038 0.0551163716.6 0.0000 1.1527820394 0.0000 0.0089869 0.0007930856 -0.0314045816.7 0.0000 -1.780873647 0.0000 -0.010057 -0.0008875061 -0.0022072516.8 0.0000 1.7367285728 0.0000 0.0074697 0.0006591953 0.0331412816.9 0.0000 -1.073902942 0.0000 -0.002356 -0.0002079426 -0.05048404

17 0.0000 0.0642221511 0.0000 -0.003313 -0.0002923311 0.0487962717.1 0.0000 0.9117032283 0.0000 0.0074782 0.0006599433 -0.0297507817.2 0.0000 -1.506718832 0.0000 -0.008735 -0.0007708663 0.0011345917.3 0.0000 1.5294105871 0.0000 0.0067972 0.0005998484 0.0262797117.4 0.0000 -1.003816436 0.0000 -0.002537 -0.000223896 -0.042754617.5 0.0000 0.1487245141 0.0000 -0.002391 -0.0002110139 0.0430122417.6 0.0000 0.7115202311 0.0000 0.0061872 0.0005460185 -0.0278715917.7 0.0000 -1.268952011 0.0000 -0.007557 -0.0006669124 0.00361297

Page 124: Hojas de Calculo Fransua

17.8 0.0000 1.3412114533 0.0000 0.0061472 0.0005424855 0.0205749817.9 0.0000 -0.929711768 0.0000 -0.002618 -0.000231023 -0.03604515

18 0.0000 0.2088087096 0.0000 -0.00165 -0.0001455692 0.0377542318.1 0.0000 0.5462758725 0.0000 0.0050872 0.0004489394 -0.0258640618.2 0.0000 -1.063557046 0.0000 -0.006512 -0.0005746976 0.0053913218.3 0.0000 1.1713834354 0.0000 0.005528 0.0004878434 0.015859518.4 0.0000 -0.854193417 0.0000 -0.002622 -0.0002313861 -0.0302440918.5 0.0000 0.249311581 0.0000 -0.001059 -9.342096E-05 0.0330033918.6 0.0000 0.4107563157 0.0000 0.0041538 0.0003665669 -0.0238036418.7 0.0000 -0.886829073 0.0000 -0.005589 -0.0004932603 0.0066070918.8 0.0000 1.0189709551 0.0000 0.0049453 0.0004364158 0.0119864318.9 0.0000 -0.779242406 0.0000 -0.002569 -0.0002266758 -0.02524826

19 0.0000 0.2742772318 0.0000 -0.000593 -5.235389E-05 0.028734719.1 0.0000 0.3004167006 0.0000 0.0033653 0.0002969824 -0.0217479719.2 0.0000 -0.735376131 0.0000 -0.004778 -0.0004216482 0.0073753619.3 0.0000 0.8828833499 0.0000 0.0044023 0.0003885028 0.0088276619.4 0.0000 -0.70633017 0.0000 -0.002473 -0.0002182672 -0.0209630619.5 0.0000 0.2870689779 0.0000 -0.000232 -2.047011E-05 0.02491919.6 0.0000 0.2113110476 0.0000 0.0027023 0.0002384735 -0.0197401319.7 0.0000 -0.606113634 0.0000 -0.004067 -0.0003589364 0.0077919319.8 0.0000 0.7619522731 0.0000 0.0039009 0.0003442539 0.0062718719.9 0.0000 -0.636514815 0.0000 -0.002349 -0.0002072699 -0.01730235

20 0.0000 0.2904678501 0.0000 4.362E-05 3.8494659E-06 0.02152474

Masa M 1.1171Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.3342

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 1.8 MAX Uivelocidad inicial Ůo 1.9 MAX U´iaceleracion inicial ϋ o 2 MAX U´´i

periodo de la estru T 2.1

CALCULOS INICIALES WnÜo 10.095878271 TnΔt 10.102819743 estabilidad^K 10.11 10.2 NO ESTABLEa 1.11 1.67b 2.23 3.3679

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.095878271 5.0000 5.3041354 0.4680867737 5.561735470.1 5.0000 101.1388312 3.6603 5.1661756 0.4559119027 -5.805232890.2 8.6603 -217.2434891 1.3397 0.4597445 0.0405721771 -2.501561620.3 10.0000 167.21225668 -1.3397 -0.60516 -0.0534050267 0.62201754

CASOS

ESPECIA

LES

D4444
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D4446
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C4447
estos son datos iniciales?
C4449
esta es igual a la aceleracion del sismo?
G4454
REVIZAR….
B4455
caso de aceleracion promedio
C4455
caso de aceleracion promedio
B4456
este es para el caso de aceleracion promedio
C4456
este es para el caso de aceleracion promedio
B4457
para el caso de aceleracion promedio
C4457
para el caso de aceleracion promedio
A4460
el tiempo lo vamos a variar
B4460
ESTE ES EL DATO QUE VA A VARIAR
D4460
este dato no es igual al de la segunda columna?
C4461
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 125: Hojas de Calculo Fransua

0.4 8.6603 -154.7719058 -3.6603 -4.474036 -0.394831007 -7.450537150.5 5.0000 5.7611629107 -5.0000 -5.992567 -0.52884047 4.770347890.6 0.0000 89.645794831 0.0000 0.0675794 0.0059638433 5.925738380.7 0.0000 28.868972743 0.0000 0.5487054 0.0484229209 -5.076556830.8 0.0000 -130.4001093 0.0000 -0.934116 -0.0824351581 2.459395250.9 0.0000 179.58801424 0.0000 0.9637762 0.0850526733 0.89036138

1 0.0000 -161.7807867 0.0000 -0.647065 -0.0571030791 -3.733476431.1 0.0000 87.111258099 0.0000 0.1167166 0.0103001656 5.081541321.2 0.0000 14.519568362 0.0000 0.425581 0.0375572699 -4.536399241.3 0.0000 -105.2475531 0.0000 -0.785198 -0.069293228 2.399389281.4 0.0000 153.23533869 0.0000 0.8437758 0.0744627089 0.475729461.5 0.0000 -143.7207495 0.0000 -0.597277 -0.0527093287 -3.019170211.6 0.0000 83.337345285 0.0000 0.1510038 0.0133259923 4.339876631.7 0.0000 3.4601873225 0.0000 0.3242054 0.0286109289 -4.03417791.8 0.0000 -84.14374529 0.0000 -0.656761 -0.0579587554 2.302784211.9 0.0000 130.19942955 0.0000 0.735735 0.0649281758 0.15495441

2 0.0000 -127.1003414 0.0000 -0.547128 -0.048283746 -2.419192842.1 0.0000 78.716484484 0.0000 0.1734311 0.0153051925 3.690971612.2 0.0000 -4.897052187 0.0000 0.2413009 0.0212946584 -3.57118232.3 0.0000 -66.52659375 0.0000 -0.546429 -0.0482220053 2.180849022.4 0.0000 110.14357418 0.0000 0.6389776 0.0563893911 -0.088621092.5 0.0000 -111.915996 0.0000 -0.497789 -0.0439296167 -1.917759062.6 0.0000 73.560814803 0.0000 0.1864933 0.0164579228 3.125509852.7 0.0000 -11.05061776 0.0000 0.1740152 0.0153567381 -3.147533552.8 0.0000 -51.90005318 0.0000 -0.452031 -0.0398914979 2.042568832.9 0.0000 92.751429712 0.0000 0.5527541 0.0487802157 -0.26913455

3 0.0000 -98.13412079 0.0000 -0.450119 -0.039722756 -1.500924883.1 0.0000 68.115623182 0.0000 0.1922604 0.0169668617 2.634717233.2 0.0000 -15.42127852 0.0000 0.1198758 0.0105789672 -2.762475123.3 0.0000 -39.82822393 0.0000 -0.371601 -0.0327935476 1.895024833.4 0.0000 77.728720476 0.0000 0.4762763 0.0420310992 -0.398531893.5 0.0000 -85.69935833 0.0000 -0.404725 -0.0357167734 -1.156425563.6 0.0000 62.570847164 0.0000 0.1924397 0.0169826853 2.210414733.7 0.0000 -18.36255253 0.0000 0.0767478 0.0067729472 -2.414609493.8 0.0000 -29.92963736 0.0000 -0.303362 -0.0267715356 1.743719843.9 0.0000 64.804034127 0.0000 0.4087442 0.0360714336 -0.48686045

4 0.0000 -74.54124321 0.0000 -0.362014 -0.0319474934 -0.873518094.1 0.0000 57.0708815 0.0000 0.1884303 0.0166288581 1.845045124.2 0.0000 -20.16997919 0.0000 0.0427953 0.003776656 -2.102089164.3 0.0000 -21.87180394 0.0000 -0.245724 -0.0216849977 1.592856084.4 0.0000 53.728925571 0.0000 0.349366 0.0308313396 -0.542529334.5 0.0000 -64.57951227 0.0000 -0.322231 -0.0284366496 -0.642830454.6 0.0000 51.722903281 0.0000 0.1813701 0.0160058059 1.531679564.7 0.0000 -21.08931211 0.0000 0.0164456 0.0014513148 -1.822769384.8 0.0000 -15.3660755 0.0000 -0.197266 -0.0174085923 1.445571244.9 0.0000 44.277500262 0.0000 0.297373 0.0262429884 -0.57253962

5 0.0000 -55.72829274 0.0000 -0.285497 -0.0251949539 -0.456219225.1 0.0000 46.603908291 0.0000 0.1721772 0.0151945381 1.26400906

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5.2 0.0000 -21.32372704 0.0000 -0.003643 -0.0003214599 -1.574329025.3 0.0000 -10.16285341 0.0000 -0.156726 -0.0138310031 1.304138165.4 0.0000 36.245616553 0.0000 0.2520306 0.0222415469 -0.582687165.5 0.0000 -47.8993597 0.0000 -0.251839 -0.0222246336 -0.306636455.6 0.0000 41.766630641 0.0000 0.161585 0.0142597781 1.036324695.7 0.0000 -21.0401369 0.0000 -0.018609 -0.0016422272 -1.354364795.8 0.0000 -6.047158952 0.0000 -0.12299 -0.0108538144 1.170133055.9 0.0000 29.449819918 0.0000 0.2126453 0.018765822 -0.57774032

6 0.0000 -41.00462634 0.0000 -0.221208 -0.0195215134 -0.188006396.1 0.0000 37.244498583 0.0000 0.1501728 0.0132526583 0.843489826.2 0.0000 -20.37470214 0.0000 -0.029417 -0.002596032 -1.160463636.3 0.0000 -2.834570439 0.0000 -0.095076 -0.0083903913 1.044576446.4 0.0000 23.726099314 0.0000 0.1785696 0.0157586643 -0.561595336.5 0.0000 -34.95800597 0.0000 -0.193505 -0.0170767129 -0.095112216.6 0.0000 33.055761788 0.0000 0.1383922 0.0122130316 0.68090716.7 0.0000 -19.43761983 0.0000 -0.036878 -0.003254469 -0.990257116.8 0.0000 -0.367522363 0.0000 -0.072123 -0.0063647876 0.928050746.9 0.0000 18.92853711 0.0000 0.1492042 0.0131671832 -0.53741132

7 0.0000 -29.67676355 0.0000 -0.168591 -0.0148780187 -0.023492727.1 0.0000 29.206909233 0.0000 0.1265895 0.0111714451 0.544481997.2 0.0000 -18.31726939 0.0000 -0.041672 -0.0036775175 -0.841461247.3 0.0000 1.4880445325 0.0000 -0.053379 -0.0047106973 0.820797657.4 0.0000 14.927908384 0.0000 0.1239988 0.0109428168 -0.507727367.5 0.0000 -25.08245566 0.0000 -0.146301 -0.012910985 0.030651337.6 0.0000 25.695482199 0.0000 0.1150242 0.0101508186 0.430584757.7 0.0000 -17.08378728 0.0000 -0.044365 -0.0039151665 -0.711904457.8 0.0000 2.8456982852 0.0000 -0.038192 -0.0033704622 0.722798547.9 0.0000 11.610272457 0.0000 0.1024516 0.0090412907 -0.47456348

8 0.0000 -21.10154207 0.0000 -0.126458 -0.0111598043 0.070541588.1 0.0000 22.512373685 0.0000 0.1038859 0.0091678665 0.336011838.2 0.0000 -15.79213699 0.0000 -0.045426 -0.0040088468 -0.59954618.3 0.0000 3.801214994 0.0000 -0.025996 -0.0022941419 0.63384028.4 0.0000 8.8755889362 0.0000 0.0841082 0.0074224946 -0.439507478.5 0.0000 -17.66573826 0.0000 -0.108873 -0.0096079902 0.098897778.6 0.0000 19.643693674 0.0000 0.0933071 0.0082342951 0.257947938.7 0.0000 -14.48473498 0.0000 -0.045243 -0.0039926869 -0.502487578.8 0.0000 4.4349835007 0.0000 -0.016302 -0.001438652 0.553568278.9 0.0000 6.6363819195 0.0000 0.0685591 0.0060503009 -0.40378921

9 0.0000 -14.71216618 0.0000 -0.093359 -0.0082389025 0.118005149.1 0.0000 17.072269072 0.0000 0.0833752 0.0073578086 0.193929089.2 0.0000 -13.1936875 0.0000 -0.044132 -0.003894612 -0.418977499.3 0.0000 4.8141376597 0.0000 -0.008691 -0.0007669699 0.481530339.4 0.0000 4.8164690321 0.0000 0.0554377 0.0048923425 -0.368344099.5 0.0000 -12.18335078 0.0000 -0.07973 -0.0070361444 0.129774359.6 0.0000 14.778837761 0.0000 0.0741416 0.0065429479 0.14180759.7 0.0000 -11.94268782 0.0000 -0.042349 -0.0037373002 -0.347412469.8 0.0000 4.9944386774 0.0000 -0.002804 -0.0002474104 0.417210259.9 0.0000 3.3497663819 0.0000 0.0444169 0.0039197655 -0.33386673

Page 127: Hojas de Calculo Fransua

10 0.0000 -10.02710108 0.0000 -0.067806 -0.0059838543 0.1357943410.1 0.0000 12.742987845 0.0000 0.0656298 0.0057917865 0.0997184810.2 0.0000 -10.7486183 0.0000 -0.040102 -0.0035390111 -0.2863344310.3 0.0000 5.0219297378 0.0000 0.0016661 0.0001470321 0.3600552910.4 0.0000 2.1791761069 0.0000 0.0352067 0.0031069687 -0.3008565610.5 0.0000 -8.196307302 0.0000 -0.057416 -0.0050669129 0.1373789310.6 0.0000 10.943885837 0.0000 0.0578418 0.0051045059 0.0660494510.7 0.0000 -9.62289683 0.0000 -0.037556 -0.0033143025 -0.2344256210.8 0.0000 4.9343844585 0.0000 0.0049777 0.0004392771 0.3094972110.9 0.0000 1.2555597324 0.0000 0.0275508 0.002431338 -0.26965599

11 0.0000 -6.648679542 0.0000 -0.048398 -0.0042710826 0.1356075811.1 0.0000 9.3608311029 0.0000 0.0507637 0.0044798667 0.0394114111.2 0.0000 -8.572602947 0.0000 -0.03484 -0.0030746459 -0.1905016611.3 0.0000 4.7625697502 0.0000 0.0073506 0.0006486902 0.2649683811.4 0.0000 0.5367978998 0.0000 0.0212238 0.0018729835 -0.2404825211.5 0.0000 -5.346448254 0.0000 -0.040602 -0.0035830924 0.13136111.6 0.0000 7.9736682404 0.0000 0.0443696 0.0039155916 0.0186126811.7 0.0000 -7.601414618 0.0000 -0.032056 -0.0028289547 -0.1535036111.8 0.0000 4.5313424858 0.0000 0.0089696 0.0007915588 0.2259138811.9 0.0000 -0.013064972 0.0000 0.0160283 0.0014144836 -0.21345538

12 0.0000 -4.256042613 0.0000 -0.033889 -0.0029906815 0.1253520812.1 0.0000 6.7630841841 0.0000 0.0386255 0.0034086753 0.0026350612.2 0.0000 -6.710383055 0.0000 -0.029281 -0.0025840343 -0.1224892512.3 0.0000 4.2605980883 0.0000 0.0099889 0.0008815135 0.191800212.4 0.0000 -0.424593999 0.0000 0.011792 0.0010406407 -0.1886176612.5 0.0000 -3.347759206 0.0000 -0.028132 -0.0024826089 0.1181526712.6 0.0000 5.7108125788 0.0000 0.0334918 0.0029556321 -0.0093878512.7 0.0000 -5.898569579 0.0000 -0.026572 -0.0023449649 -0.0966240912.8 0.0000 3.9660877918 0.0000 0.0105372 0.0009299025 0.1621214412.9 0.0000 -0.723659059 0.0000 0.0083655 0.00073825 -0.16595449

13 0.0000 -2.595430644 0.0000 -0.023214 -0.0020486401 0.1102166813.1 0.0000 4.7997643034 0.0000 0.0289259 0.0025526913 -0.0181900613.2 0.0000 -5.163565427 0.0000 -0.023971 -0.0021154252 -0.0751722713.3 0.0000 3.6601199494 0.0000 0.010721 0.0009461195 0.1364031713.4 0.0000 -0.932056575 0.0000 0.0056191 0.0004958834 -0.1454078913.5 0.0000 -1.976101229 0.0000 -0.019031 -0.0016795144 0.1018999313.6 0.0000 4.0140998762 0.0000 0.0248835 0.0021959501 -0.0243906413.7 0.0000 -4.501912706 0.0000 -0.021507 -0.0018979652 -0.0574876713.8 0.0000 3.3521593991 0.0000 0.0106278 0.0009378928 0.1142048313.9 0.0000 -1.06806289 0.0000 0.0034413 0.0003036896 -0.12688889

14 0.0000 -1.469714892 0.0000 -0.015489 -0.0013669002 0.0934770914.1 0.0000 3.3392567736 0.0000 0.0213202 0.0018814908 -0.0285092714.2 0.0000 -3.909442255 0.0000 -0.019198 -0.0016942346 -0.0430052314.3 0.0000 3.0493375765 0.0000 0.0103291 0.0009115364 0.0951206514.4 0.0000 -1.146924517 0.0000 0.0017361 0.0001532101 -0.1102871814.5 0.0000 -1.058819048 0.0000 -0.012503 -0.0011033404 0.0851561714.6 0.0000 2.7619423938 0.0000 0.0181924 0.0016054689 -0.0309799814.7 0.0000 -3.381541991 0.0000 -0.017056 -0.001505173 -0.03123286

Page 128: Hojas de Calculo Fransua

14.8 0.0000 2.7568847984 0.0000 0.009883 0.0008721697 0.0787797114.9 0.0000 -1.181290531 0.0000 0.0004217 3.7212132E-05 -0.09547886

15 0.0000 -0.728286745 0.0000 -0.009997 -0.0008821943 0.0770907315.1 0.0000 2.2701014431 0.0000 0.0154582 0.0013641775 -0.032163315.2 0.0000 -2.913367422 0.0000 -0.015084 -0.0013311686 -0.0217436215.3 0.0000 2.4784949505 0.0000 0.0093361 0.0008239067 0.0648451315.4 0.0000 -1.181592338 0.0000 -0.000572 -5.046383E-05 -0.0823325415.5 0.0000 -0.465058491 0.0000 -0.007905 -0.000697575 0.0693903215.6 0.0000 1.8528648676 0.0000 0.0130776 0.0011540924 -0.0323569715.7 0.0000 -2.500004311 0.0000 -0.013283 -0.0011721878 -0.0141686315.8 0.0000 2.2166316959 0.0000 0.0087255 0.0007700203 0.0530127915.9 0.0000 -1.156375844 0.0000 -0.001304 -0.0001150406 -0.07071401

16 0.0000 -0.257904386 0.0000 -0.006168 -0.000544287 0.0621290816.1 0.0000 1.5004860647 0.0000 0.0110131 0.0009719023 -0.031805316.2 0.0000 -2.136592003 0.0000 -0.011647 -0.0010278818 -0.0081903916.3 0.0000 1.9727842957 0.0000 0.0080803 0.0007130826 0.0430096716.4 0.0000 -1.112590828 0.0000 -0.001824 -0.0001609272 -0.0604898716.5 0.0000 -0.097206577 0.0000 -0.004734 -0.0004177648 0.0553531216.6 0.0000 1.2042689396 0.0000 0.0092298 0.0008145269 -0.0307072816.7 0.0000 -1.818414631 0.0000 -0.010172 -0.0008976735 -0.0035367216.8 0.0000 1.7476801814 0.0000 0.0074231 0.0006550857 0.0345919116.9 0.0000 -1.055842034 0.0000 -0.002174 -0.000191828 -0.05153018

17 0.0000 0.0252383768 0.0000 -0.003558 -0.0003140127 0.0490864917.1 0.0000 0.9564914057 0.0000 0.0076955 0.0006791245 -0.0292237517.2 0.0000 -1.540966313 0.0000 -0.008848 -0.0007808272 2.47125E-0517.3 0.0000 1.5414605625 0.0000 0.0067711 0.0005975444 0.0275427217.4 0.0000 -0.99060618 0.0000 -0.002389 -0.0002108402 -0.0437104117.5 0.0000 0.1163979773 0.0000 -0.002601 -0.0002295479 0.0433362517.6 0.0000 0.7503271179 0.0000 0.0063807 0.000563094 -0.0274834217.7 0.0000 -1.29999545 0.0000 -0.007666 -0.000676504 0.0026914617.8 0.0000 1.3538245666 0.0000 0.006137 0.0005415832 0.0216702917.9 0.0000 -0.920418772 0.0000 -0.002499 -0.0002205391 -0.03691274

18 0.0000 0.1821640647 0.0000 -0.001828 -0.0001613467 0.0380965818.1 0.0000 0.5797675688 0.0000 0.0052586 0.0004640702 -0.0255882418.2 0.0000 -1.091532432 0.0000 -0.006615 -0.0005838063 0.0046307118.3 0.0000 1.1841467105 0.0000 0.0055299 0.0004880105 0.0168056218.4 0.0000 -0.848034288 0.0000 -0.002528 -0.0002230541 -0.0310269118.5 0.0000 0.2274960147 0.0000 -0.00121 -0.0001067945 0.0333521118.6 0.0000 0.4395461346 0.0000 0.004305 0.0003799155 -0.0236179118.7 0.0000 -0.911904316 0.0000 -0.005686 -0.0005018111 0.0059833818.8 0.0000 1.0315718672 0.0000 0.0049562 0.0004373801 0.0128004518.9 0.0000 -0.775562952 0.0000 -0.002494 -0.0002201349 -0.02595074

19 0.0000 0.2565480626 0.0000 -0.000721 -6.363891E-05 0.0290806619.1 0.0000 0.3250652151 0.0000 0.0034981 0.0003087087 -0.0216337119.2 0.0000 -0.757739432 0.0000 -0.004868 -0.000429597 0.006867619.3 0.0000 0.8950913351 0.0000 0.0044198 0.0003900434 0.0095252119.4 0.0000 -0.704587054 0.0000 -0.002416 -0.0002132085 -0.0215902519.5 0.0000 0.2727819971 0.0000 -0.000339 -2.994801E-05 0.02525546

Page 129: Hojas de Calculo Fransua

19.6 0.0000 0.2323272615 0.0000 0.0028185 0.0002487324 -0.0196818519.7 0.0000 -0.625964337 0.0000 -0.00415 -0.0003662633 0.0073819419.8 0.0000 0.7736031151 0.0000 0.0039229 0.0003461929 0.0068671819.9 0.0000 -0.636259419 0.0000 -0.002305 -0.0002034302 -0.01785965

20 0.0000 0.2790664704 0.0000 -4.613E-05 -4.070941E-06 0.02184683

Masa M 1.2260Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.3501

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 1.9 MAX Uivelocidad inicial Ůo 2 MAX U´iaceleracion inicial ϋ o 2.1 MAX U´´i

periodo de la estru T 2.2

CALCULOS INICIALES WnÜo 10.102819743 TnΔt 10.109942542 estabilidad^K 10.12 10.2 NO ESTABLEa 1.19 1.78b 2.45 3.6955

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.102819743 5.0000 5.3174858 0.469264937 5.385298740.1 5.0000 97.603155056 3.6603 5.138086 0.4534330069 -5.701937340.2 8.6603 -211.6419019 1.3397 0.4916988 0.0433921234 -2.498880330.3 10.0000 161.66429529 -1.3397 -0.629333 -0.055538277 0.520272320.4 8.6603 -151.2588488 -3.6603 -4.465853 -0.3941088544 -7.291683870.5 5.0000 5.4251713914 -5.0000 -5.982732 -0.5279725161 4.614410640.6 0.0000 86.863041397 0.0000 0.0442558 0.0039055509 6.02315070.7 0.0000 33.599972595 0.0000 0.5764176 0.0508685055 -5.083891610.8 0.0000 -135.2778047 0.0000 -0.956058 -0.0843715852 2.379089790.9 0.0000 182.85960059 0.0000 0.9724254 0.0858159628 1.02466117

1 0.0000 -162.3663772 0.0000 -0.640074 -0.0564861404 -3.870703231.1 0.0000 84.952312571 0.0000 0.0974646 0.0086011968 5.172449981.2 0.0000 18.496686987 0.0000 0.4495195 0.0396698235 -4.551077441.3 0.0000 -109.5182359 0.0000 -0.804998 -0.0710405519 2.336869941.4 0.0000 156.25563461 0.0000 0.8525879 0.0752403719 0.588748541.5 0.0000 -144.4806638 0.0000 -0.592567 -0.0522936676 -3.139429331.6 0.0000 81.692077261 0.0000 0.1352158 0.0119327156 4.423956991.7 0.0000 6.7870626209 0.0000 0.3448021 0.0304285763 -4.054039781.8 0.0000 -87.86785825 0.0000 -0.67453 -0.0595268295 2.254931671.9 0.0000 132.96649158 0.0000 0.7444794 0.0656998585 0.24960209

2 0.0000 -127.9744497 0.0000 -0.544228 -0.0480277786 -2.524154842.1 0.0000 77.49135298 0.0000 0.1605774 0.0141708593 3.76812759

CASOS

ESPECIA

LES

D4666
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D4668
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C4669
estos son datos iniciales?
C4671
esta es igual a la aceleracion del sismo?
G4676
REVIZAR….
B4677
caso de aceleracion promedio
C4677
caso de aceleracion promedio
B4678
este es para el caso de aceleracion promedio
C4678
este es para el caso de aceleracion promedio
B4679
para el caso de aceleracion promedio
C4679
para el caso de aceleracion promedio
A4682
el tiempo lo vamos a variar
B4682
ESTE ES EL DATO QUE VA A VARIAR
D4682
este dato no es igual al de la segunda columna?
C4683
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 130: Hojas de Calculo Fransua

2.2 0.0000 -2.128801086 0.0000 0.2589514 0.0228523025 -3.594498732.3 0.0000 -69.76117354 0.0000 -0.562294 -0.0496220691 2.14501132.4 0.0000 112.66139953 0.0000 0.6474829 0.0571399789 -0.009770342.5 0.0000 -112.8568064 0.0000 -0.496307 -0.0437987607 -2.009004452.6 0.0000 72.676717354 0.0000 0.1761139 0.0155419458 3.195818582.7 0.0000 -8.760345755 0.0000 0.1890791 0.0166861174 -3.172935152.8 0.0000 -54.69835722 0.0000 -0.466129 -0.0411355864 2.016501072.9 0.0000 95.028378695 0.0000 0.5608972 0.0494988428 -0.20381249

3 0.0000 -99.10462847 0.0000 -0.44973 -0.0396884176 -1.579932723.1 0.0000 67.505974073 0.0000 0.1839575 0.016234142 2.698383913.2 0.0000 -13.53829582 0.0000 0.1326781 0.0117087667 -2.788891423.3 0.0000 -42.23953253 0.0000 -0.384071 -0.0338940329 1.876835433.4 0.0000 79.776241051 0.0000 0.4839729 0.0427103161 -0.344748453.5 0.0000 -86.67120999 0.0000 -0.405164 -0.0357554597 -1.224567073.6 0.0000 62.179868636 0.0000 0.1858708 0.0164029903 2.267736073.7 0.0000 -16.82514731 0.0000 0.0875807 0.0077289476 -2.441216923.8 0.0000 -31.9991911 0.0000 -0.314345 -0.0277407757 1.731822453.9 0.0000 66.635640193 0.0000 0.4159406 0.0367065097 -0.44287675

4 0.0000 -75.49317512 0.0000 -0.363062 -0.0320400373 -0.932054194.1 0.0000 56.852091254 0.0000 0.1833015 0.0161762504 1.896379954.2 0.0000 -18.92449231 0.0000 0.05192 0.0045819076 -2.12826684.3 0.0000 -23.64084377 0.0000 -0.255357 -0.0225350738 1.585927184.4 0.0000 55.359387289 0.0000 0.3560328 0.0314196826 -0.506832054.5 0.0000 -65.49602824 0.0000 -0.323714 -0.0285675364 -0.692912334.6 0.0000 51.637781569 0.0000 0.1774304 0.0156581239 1.577425544.7 0.0000 -20.08927078 0.0000 0.0240945 0.0021263266 -1.848061494.8 0.0000 -16.87195892 0.0000 -0.20568 -0.0181511184 1.442512584.9 0.0000 45.722210611 0.0000 0.3034997 0.0267836629 -0.54381696

5 0.0000 -56.59854974 0.0000 -0.287274 -0.0253517387 -0.498891085.1 0.0000 46.620728207 0.0000 0.1692128 0.0149329248 1.304584355.2 0.0000 -20.52904125 0.0000 0.0027363 0.0002414765 -1.598413325.3 0.0000 -11.43922506 0.0000 -0.164046 -0.0144769932 1.304043925.4 0.0000 37.520103516 0.0000 0.2576208 0.0227348789 -0.559806485.5 0.0000 -48.71623313 0.0000 -0.253797 -0.0223974384 -0.342839875.6 0.0000 41.859435813 0.0000 0.1594148 0.0140682576 1.072153795.7 0.0000 -20.4163601 0.0000 -0.013318 -0.0011753492 -1.377025925.8 0.0000 -7.12415836 0.0000 -0.129333 -0.0114135957 1.172260995.9 0.0000 30.569378229 0.0000 0.2177134 0.0192130751 -0.55972758

6 0.0000 -41.7639298 0.0000 -0.22326 -0.0197025951 -0.218585836.1 0.0000 37.392213288 0.0000 0.1486441 0.0131177566 0.874992866.2 0.0000 -19.8923561 0.0000 -0.025056 -0.0022111483 -1.181570966.3 0.0000 -3.739063039 0.0000 -0.100551 -0.0088735546 1.048322836.4 0.0000 24.705519688 0.0000 0.1831375 0.0161617768 -0.54761626.5 0.0000 -35.65784377 0.0000 -0.195583 -0.0172600943 -0.120821226.6 0.0000 33.241419391 0.0000 0.137377 0.0121234382 0.708491876.7 0.0000 -19.07158201 0.0000 -0.033307 -0.002939281 -1.009746256.8 0.0000 -1.123343052 0.0000 -0.07683 -0.0067801655 0.932928566.9 0.0000 19.781914307 0.0000 0.1532991 0.0135285575 -0.5267541

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7 0.0000 -30.31699637 0.0000 -0.170643 -0.0150591739 -0.045000537.1 0.0000 29.416985862 0.0000 0.1259806 0.0111177138 0.568538287.2 0.0000 -18.04622028 0.0000 -0.038769 -0.0034213136 -0.859318837.3 0.0000 0.8598437555 0.0000 -0.05741 -0.0050663644 0.826417817.4 0.0000 15.668512444 0.0000 0.1276513 0.0112651507 -0.499787517.5 0.0000 -25.66426259 0.0000 -0.148291 -0.0130865721 0.012753057.6 0.0000 25.919323582 0.0000 0.1147328 0.0101251026 0.451480457.7 0.0000 -16.88971468 0.0000 -0.042025 -0.0037086545 -0.728155597.8 0.0000 2.3266029227 0.0000 -0.041629 -0.0036737515 0.728853657.9 0.0000 12.250470027 0.0000 0.1056941 0.0093274453 -0.46882971

8 0.0000 -21.62706424 0.0000 -0.128357 -0.0113274405 0.055731998.1 0.0000 22.741704101 0.0000 0.1038385 0.0091636857 0.354090538.2 0.0000 -15.65989346 0.0000 -0.043558 -0.0038439973 -0.614244198.3 0.0000 3.3750096292 0.0000 -0.028914 -0.0025516733 0.640090678.4 0.0000 9.4268037953 0.0000 0.0869739 0.0076753918 -0.435549378.5 0.0000 -18.13779117 0.0000 -0.110664 -0.0097660621 0.086720298.6 0.0000 19.87219697 0.0000 0.0934435 0.0082463328 0.273527618.7 0.0000 -14.4016448 0.0000 -0.043769 -0.0038625894 -0.515706058.8 0.0000 4.0875237306 0.0000 -0.018769 -0.0016563685 0.559830478.9 0.0000 7.1090857242 0.0000 0.0710809 0.0062728451 -0.4012462

9 0.0000 -15.13400976 0.0000 -0.095031 -0.0083864077 0.108061159.1 0.0000 17.295232685 0.0000 0.0836463 0.0073817338 0.207301689.2 0.0000 -13.14919901 0.0000 -0.042984 -0.0037933428 -0.430803229.3 0.0000 4.5331346946 0.0000 -0.010767 -0.0009501797 0.487666489.4 0.0000 5.2201948812 0.0000 0.0576476 0.0050873623 -0.366915649.5 0.0000 -12.55850765 0.0000 -0.081276 -0.0071725598 0.12171729.6 0.0000 14.99285158 0.0000 0.0745077 0.0065752606 0.153239219.7 0.0000 -11.92806735 0.0000 -0.041471 -0.003659802 -0.357940469.8 0.0000 4.7692580646 0.0000 -0.004542 -0.0004008321 0.423119869.9 0.0000 3.6931391873 0.0000 0.0463456 0.0040899723 -0.3333037810 0.0000 -10.3592147 0.0000 -0.069225 -0.0061090267 0.1293238

10.1 0.0000 12.945690637 0.0000 0.0660592 0.0058296853 0.1094504410.2 0.0000 -10.75668178 0.0000 -0.039445 -0.0034809845 -0.2956638410.3 0.0000 4.8434049969 0.0000 0.0002178 1.9223246E-05 0.3656679910.4 0.0000 2.4699548944 0.0000 0.0368833 0.0032549272 -0.3009539210.5 0.0000 -8.489033223 0.0000 -0.058708 -0.0051809698 0.1322359810.6 0.0000 11.133752751 0.0000 0.0583094 0.0051457723 0.0742988710.7 0.0000 -9.647775435 0.0000 -0.037078 -0.0032721083 -0.2426564810.8 0.0000 4.7946458983 0.0000 0.003778 0.0003334025 0.3147666910.9 0.0000 1.5006879669 0.0000 0.0290024 0.0025594481 -0.27024578

11 0.0000 -6.905603625 0.0000 -0.049568 -0.0043743589 0.1315696411.1 0.0000 9.5369965148 0.0000 0.0512498 0.0045227665 0.0463728611.2 0.0000 -8.609539257 0.0000 -0.034507 -0.0030452176 -0.1977325511.3 0.0000 4.6548883411 0.0000 0.0063629 0.0005615228 0.2698673511.4 0.0000 0.7424587362 0.0000 0.0224757 0.0019834699 -0.2414284111.5 0.0000 -5.571026973 0.0000 -0.041655 -0.003676071 0.128237611.6 0.0000 8.1357788824 0.0000 0.0448591 0.003958791 0.0244596411.7 0.0000 -7.646586011 0.0000 -0.031838 -0.0028097209 -0.15982988

Page 132: Hojas de Calculo Fransua

11.8 0.0000 4.449988369 0.0000 0.0081619 0.0007202785 0.2304298711.9 0.0000 0.1586090621 0.0000 0.0171037 0.001509392 -0.2146476

12 0.0000 -4.451561106 0.0000 -0.034832 -0.0030739456 0.1229808512.1 0.0000 6.9111781153 0.0000 0.039107 0.0034511689 0.0075214412.2 0.0000 -6.760749323 0.0000 -0.029154 -0.0025728497 -0.1280018112.3 0.0000 4.2007130945 0.0000 0.0093334 0.0008236666 0.1959321412.4 0.0000 -0.282070351 0.0000 0.0127121 0.0011218387 -0.189968712.5 0.0000 -3.517303558 0.0000 -0.028972 -0.0025568047 0.1163958312.6 0.0000 5.8452201166 0.0000 0.033957 0.0029966821 -0.0053260912.7 0.0000 -5.951741953 0.0000 -0.026516 -0.0023400493 -0.1014085412.8 0.0000 3.9235711968 0.0000 0.0100098 0.0008833618 0.1658767612.9 0.0000 -0.60603597 0.0000 0.0091494 0.0008074314 -0.16739537

13 0.0000 -2.741871413 0.0000 -0.02396 -0.0021144467 0.1089578113.1 0.0000 4.9210275342 0.0000 0.0293688 0.0025917763 -0.0148333513.2 0.0000 -5.217694456 0.0000 -0.02397 -0.0021153107 -0.0793083913.3 0.0000 3.6315266027 0.0000 0.0103009 0.0009090486 0.1397955813.4 0.0000 -0.835615039 0.0000 0.0062842 0.0005545756 -0.1468850413.5 0.0000 -2.102085743 0.0000 -0.01969 -0.0017376212 0.101041113.6 0.0000 4.1229078149 0.0000 0.0253001 0.0022327218 -0.0216342413.7 0.0000 -4.555592677 0.0000 -0.021546 -0.0019014487 -0.0610491713.8 0.0000 3.3346093136 0.0000 0.0102971 0.0009087123 0.1172523913.9 0.0000 -0.989561533 0.0000 0.004003 0.0003532622 -0.12836139

14 0.0000 -1.577666296 0.0000 -0.016068 -0.001417989 0.0929363714.1 0.0000 3.4363936385 0.0000 0.0217082 0.0019157383 -0.0262618214.2 0.0000 -3.961630053 0.0000 -0.019267 -0.0017003378 -0.046059714.3 0.0000 3.0404360472 0.0000 0.0100725 0.0008888936 0.0978443314.4 0.0000 -1.083549472 0.0000 0.0022083 0.0001948854 -0.1117244914.5 0.0000 -1.150940411 0.0000 -0.013009 -0.0011480733 0.0848653214.6 0.0000 2.8482468181 0.0000 0.0185507 0.0016370884 -0.0291620914.7 0.0000 -3.431488523 0.0000 -0.017146 -0.0015131068 -0.0338418214.8 0.0000 2.7546521281 0.0000 0.0096874 0.0008549108 0.0812021714.9 0.0000 -1.130608695 0.0000 0.0008167 7.2075448E-05 -0.09685888

15 0.0000 -0.806568876 0.0000 -0.010439 -0.0009212038 0.0769932915.1 0.0000 2.3464347551 0.0000 0.0157865 0.001393148 -0.0307062615.2 0.0000 -2.960559927 0.0000 -0.015188 -0.0013403026 -0.0239627515.3 0.0000 2.4813048821 0.0000 0.0091904 0.0008110516 0.0669898415.4 0.0000 -1.141508164 0.0000 -0.000243 -2.14529E-05 -0.0836399315.5 0.0000 -0.531290365 0.0000 -0.008289 -0.000731458 0.0694398215.6 0.0000 1.9200868465 0.0000 0.0133764 0.0011804551 -0.0312015615.7 0.0000 -2.544118066 0.0000 -0.013394 -0.0011820238 -0.0160480215.8 0.0000 2.2231576931 0.0000 0.0086203 0.0007607402 0.054903315.9 0.0000 -1.125091716 0.0000 -0.001032 -9.103741E-05 -0.07193885

16 0.0000 -0.313685294 0.0000 -0.0065 -0.0005736011 0.0622875816.1 0.0000 1.5594368162 0.0000 0.0112833 0.0009957445 -0.0309006616.2 0.0000 -2.177450106 0.0000 -0.011762 -0.0010380319 -0.0097748616.3 0.0000 1.9819528558 0.0000 0.0080078 0.0007066797 0.0446690916.4 0.0000 -1.088570965 0.0000 -0.0016 -0.0001411913 -0.0616265116.5 0.0000 -0.143959317 0.0000 -0.00502 -0.0004430259 0.05558982

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16.6 0.0000 1.255755746 0.0000 0.0094728 0.0008359678 -0.0300099516.7 0.0000 -1.855954697 0.0000 -0.010287 -0.0009078403 -0.0048662116.8 0.0000 1.7586304225 0.0000 0.0073765 0.0006509755 0.0360425316.9 0.0000 -1.037779824 0.0000 -0.001991 -0.000175713 -0.0525763

17 0.0000 -0.013746173 0.0000 -0.003804 -0.0003356944 0.0493766717.1 0.0000 1.0012795838 0.0000 0.0079129 0.0006983054 -0.0286966717.2 0.0000 -1.575213064 0.0000 -0.008961 -0.0007907875 -0.0010851817.3 0.0000 1.5535093778 0.0000 0.006745 0.0005952398 0.0288057317.4 0.0000 -0.977394774 0.0000 -0.002241 -0.0001977839 -0.044666217.5 0.0000 0.0840707112 0.0000 -0.002811 -0.0002480821 0.0436602417.6 0.0000 0.7891340761 0.0000 0.0065742 0.0005801693 -0.0270952117.7 0.0000 -1.331038313 0.0000 -0.007775 -0.0006860953 0.0017699217.8 0.0000 1.3664367002 0.0000 0.0061267 0.0005406805 0.022765617.9 0.0000 -0.911124766 0.0000 -0.00238 -0.0002100547 -0.0377803

18 0.0000 0.1555187407 0.0000 -0.002007 -0.0001771245 0.0384389118.1 0.0000 0.613259388 0.0000 0.0054301 0.0004792009 -0.025312418.2 0.0000 -1.119507372 0.0000 -0.006719 -0.0005929146 0.0038700918.3 0.0000 1.1969091621 0.0000 0.0055318 0.0004881771 0.0177517418.4 0.0000 -0.841874273 0.0000 -0.002433 -0.0002147218 -0.0318097218.5 0.0000 0.2056798215 0.0000 -0.001362 -0.0001201681 0.033700818.6 0.0000 0.4683361122 0.0000 0.0044563 0.000393264 -0.0234321618.7 0.0000 -0.93697922 0.0000 -0.005783 -0.0005103616 0.0053596418.8 0.0000 1.0441720906 0.0000 0.0049671 0.000438344 0.0136144718.9 0.0000 -0.771882726 0.0000 -0.00242 -0.0002135936 -0.02665322

19 0.0000 0.2388183192 0.0000 -0.000849 -7.492409E-05 0.0294266119.1 0.0000 0.3497139118 0.0000 0.003631 0.0003204351 -0.0215194319.2 0.0000 -0.78010248 0.0000 -0.004958 -0.0004375457 0.0063598119.3 0.0000 0.9072987473 0.0000 0.0044372 0.0003915837 0.0102227719.4 0.0000 -0.702843268 0.0000 -0.002359 -0.0002081495 -0.0222174419.5 0.0000 0.2584944941 0.0000 -0.000447 -3.942607E-05 0.0255919119.6 0.0000 0.2533436712 0.0000 0.0029348 0.0002589914 -0.0196235619.7 0.0000 -0.645814857 0.0000 -0.004233 -0.00037359 0.0069719319.8 0.0000 0.7852534832 0.0000 0.0039449 0.0003481316 0.007462519.9 0.0000 -0.636003444 0.0000 -0.002262 -0.0001995903 -0.01841694

20 0.0000 0.2676646184 0.0000 -0.000136 -1.19915E-05 0.02216892

Masa M 1.3400Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.3661

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 2 MAX Uivelocidad inicial Ůo 2.1 MAX U´iaceleracion inicial ϋ o 2.2 MAX U´´i

periodo de la estru T 2.3

CALCULOS INICIALES Wn

CASOS

ESPECIA

LES

D4888
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D4890
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C4891
estos son datos iniciales?
C4893
esta es igual a la aceleracion del sismo?
Page 134: Hojas de Calculo Fransua

Üo 10.109942542 TnΔt 10.117245314 estabilidad^K 10.12 10.2 NO ESTABLEa 1.26 1.89b 2.68 4.0382

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.109942542 5.0000 5.3308371 0.4704431814 5.208863630.1 5.0000 94.067330008 3.6603 5.1099958 0.4509540636 -5.598645980.2 8.6603 -206.0402497 1.3397 0.5236531 0.0462120685 -2.496193920.3 10.0000 156.11637128 -1.3397 -0.653506 -0.0576714805 0.418522940.4 8.6603 -147.7459125 -3.6603 -4.457671 -0.3933867748 -7.132828830.5 5.0000 5.0893359908 -5.0000 -5.972896 -0.5271044906 4.458474510.6 0.0000 84.080154219 0.0000 0.0209317 0.0018472136 6.120559570.7 0.0000 38.331037239 0.0000 0.6041298 0.0533140936 -5.091221970.8 0.0000 -140.1554767 0.0000 -0.978001 -0.0863079754 2.298780590.9 0.0000 186.13108857 0.0000 0.981074 0.0865791908 1.15896273

1 0.0000 -162.9518339 0.0000 -0.633082 -0.0558691387 -4.007929321.1 0.0000 82.793247529 0.0000 0.0782123 0.0069021862 5.263355821.2 0.0000 22.473868823 0.0000 0.473458 0.0417823839 -4.565751861.3 0.0000 -113.7889061 0.0000 -0.824797 -0.0727878471 2.274347241.4 0.0000 159.27585098 0.0000 0.8613994 0.076017983 0.701769361.5 0.0000 -145.2404638 0.0000 -0.587856 -0.0518779513 -3.259688041.6 0.0000 80.046702955 0.0000 0.1194274 0.0105394003 4.508035081.7 0.0000 10.113998586 0.0000 0.3653989 0.0322462328 -4.073898431.8 0.0000 -91.59196713 0.0000 -0.692298 -0.0610948817 2.207076141.9 0.0000 135.73348986 0.0000 0.7532232 0.0664714978 0.34425145

2 0.0000 -128.8484608 0.0000 -0.541327 -0.047771763 -2.629116672.1 0.0000 76.26612739 0.0000 0.1477233 0.0130364906 3.845281742.2 0.0000 0.6395074701 0.0000 0.276602 0.0244099573 -3.617812412.3 0.0000 -72.99575566 0.0000 -0.578158 -0.0510221164 2.109170932.4 0.0000 115.17917435 0.0000 0.6559878 0.0578905304 0.0690822.5 0.0000 -113.7975343 0.0000 -0.494823 -0.0436678628 -2.100249872.6 0.0000 71.792536981 0.0000 0.1657341 0.0146259365 3.266125852.7 0.0000 -6.470019944 0.0000 0.2041431 0.0180155084 -3.198334422.8 0.0000 -57.49666836 0.0000 -0.480226 -0.042379663 1.990430992.9 0.0000 97.305288132 0.0000 0.56904 0.0502174399 -0.13848893

3 0.0000 -100.0750667 0.0000 -0.449341 -0.039654043 -1.658940733.1 0.0000 66.896252186 0.0000 0.1756544 0.0155013931 2.762049453.2 0.0000 -11.6552632 0.0000 0.1454806 0.0128385784 -2.815305743.3 0.0000 -44.65085163 0.0000 -0.396541 -0.0349945098 1.858643983.4 0.0000 81.823731158 0.0000 0.4916692 0.0433895083 -0.290963613.5 0.0000 -87.64300342 0.0000 -0.405602 -0.0357941147 -1.292708853.6 0.0000 61.788826494 0.0000 0.1793017 0.0158232689 2.325056523.7 0.0000 -15.28769614 0.0000 0.0984138 0.0086849603 -2.467822693.8 0.0000 -34.06875766 0.0000 -0.325328 -0.0287100103 1.719923283.9 0.0000 68.467223244 0.0000 0.4231368 0.0373415657 -0.39889176

G4898
REVIZAR….
B4899
caso de aceleracion promedio
C4899
caso de aceleracion promedio
B4900
este es para el caso de aceleracion promedio
C4900
este es para el caso de aceleracion promedio
B4901
para el caso de aceleracion promedio
C4901
para el caso de aceleracion promedio
A4904
el tiempo lo vamos a variar
B4904
ESTE ES EL DATO QUE VA A VARIAR
D4904
este dato no es igual al de la segunda columna?
C4905
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 135: Hojas de Calculo Fransua

4 0.0000 -76.44505843 0.0000 -0.364111 -0.0321325542 -0.990590644.1 0.0000 56.633245627 0.0000 0.1781725 0.0157236192 1.947714114.2 0.0000 -17.67896346 0.0000 0.0610448 0.0053871712 -2.154443074.3 0.0000 -25.40989789 0.0000 -0.264989 -0.0233851467 1.578996714.4 0.0000 56.989832069 0.0000 0.3626995 0.0320080092 -0.471133594.5 0.0000 -66.41250385 0.0000 -0.325197 -0.0286984002 -0.74299464.6 0.0000 51.552611836 0.0000 0.1734904 0.0153104209 1.623171024.7 0.0000 -19.08919138 0.0000 0.0317436 0.00280135 -1.873352444.8 0.0000 -18.37785742 0.0000 -0.214094 -0.0188936432 1.439452584.9 0.0000 47.16690894 0.0000 0.3096262 0.0273243243 -0.51509323

5 0.0000 -57.46877345 0.0000 -0.28905 -0.025508504 -0.541563345.1 0.0000 46.637506646 0.0000 0.1662481 0.0146712929 1.345159285.2 0.0000 -19.73432109 0.0000 0.0091153 0.0008044239 -1.622496665.3 0.0000 -12.71561207 0.0000 -0.171366 -0.0151229832 1.303948525.4 0.0000 38.794582399 0.0000 0.2632109 0.0232282005 -0.536924845.5 0.0000 -49.53307925 0.0000 -0.255755 -0.0225702265 -0.37904375.6 0.0000 41.952205303 0.0000 0.1572444 0.0138767207 1.107982645.7 0.0000 -19.79255247 0.0000 -0.008028 -0.0007084608 -1.399686275.8 0.0000 -8.201172988 0.0000 -0.135677 -0.011973378 1.174387935.9 0.0000 31.688931586 0.0000 0.2227813 0.0196603199 -0.54171397

6 0.0000 -42.52321104 0.0000 -0.225312 -0.0198836628 -0.249165686.1 0.0000 37.539897419 0.0000 0.1471153 0.0129828403 0.906495746.2 0.0000 -19.40998255 0.0000 -0.020694 -0.001826255 -1.202677656.3 0.0000 -4.643570434 0.0000 -0.106026 -0.0093567196 1.052068366.4 0.0000 25.684937556 0.0000 0.1877053 0.016564883 -0.53363636.5 0.0000 -36.35766362 0.0000 -0.197661 -0.0174434639 -0.146530646.6 0.0000 33.427050905 0.0000 0.1363616 0.0120338322 0.736076566.7 0.0000 -18.70551974 0.0000 -0.029735 -0.002624084 -1.029234886.8 0.0000 -1.879177898 0.0000 -0.081536 -0.0071955456 0.937805656.9 0.0000 20.635290884 0.0000 0.157394 0.013889927 -0.5160962

7 0.0000 -30.95721483 0.0000 -0.172696 -0.0152403192 -0.066508737.1 0.0000 29.627040322 0.0000 0.1253716 0.0110639715 0.592594547.2 0.0000 -17.77514955 0.0000 -0.035865 -0.0031651015 -0.8771767.3 0.0000 0.2316296025 0.0000 -0.06144 -0.0054220341 0.832037357.4 0.0000 16.409117312 0.0000 0.1313038 0.0115874811 -0.491847047.5 0.0000 -26.24605818 0.0000 -0.15028 -0.013262151 -0.00514567.6 0.0000 26.143146209 0.0000 0.1144413 0.010099377 0.472376167.7 0.0000 -16.69562303 0.0000 -0.039685 -0.003502135 -0.74440647.8 0.0000 1.8074950577 0.0000 -0.045066 -0.0039770436 0.734908237.9 0.0000 12.890669454 0.0000 0.1089367 0.0096135974 -0.4630954

8 0.0000 -22.15257755 0.0000 -0.130257 -0.0114950699 0.040922068.1 0.0000 22.97101872 0.0000 0.103791 0.0091594967 0.372169278.2 0.0000 -15.52763324 0.0000 -0.04169 -0.003679141 -0.628942038.3 0.0000 2.9487926855 0.0000 -0.031833 -0.0028092076 0.64634078.4 0.0000 9.9780212596 0.0000 0.0898396 0.0079282873 -0.43159088.5 0.0000 -18.60983728 0.0000 -0.112455 -0.0099241284 0.074542498.6 0.0000 20.100687027 0.0000 0.0935798 0.0082583634 0.289107358.7 0.0000 -14.31854004 0.0000 -0.042295 -0.0037324859 -0.52892434

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8.8 0.0000 3.7400533226 0.0000 -0.021236 -0.0018740878 0.56609238.9 0.0000 7.5817926376 0.0000 0.0736026 0.0064953881 -0.39870278

9 0.0000 -15.55584824 0.0000 -0.096702 -0.0085339084 0.098116859.1 0.0000 17.518185259 0.0000 0.0839173 0.0074056527 0.220674379.2 0.0000 -13.10469784 0.0000 -0.041837 -0.0036920682 -0.442628799.3 0.0000 4.2521220254 0.0000 -0.012843 -0.0011333923 0.493802319.4 0.0000 5.6239241491 0.0000 0.0598574 0.0052823815 -0.365486839.5 0.0000 -12.93366078 0.0000 -0.082822 -0.0073089714 0.113659779.6 0.0000 15.206856246 0.0000 0.0748738 0.0066075682 0.164671029.7 0.0000 -11.91343589 0.0000 -0.040593 -0.003582299 -0.368468369.8 0.0000 4.5440686559 0.0000 -0.006281 -0.0005542565 0.429029219.9 0.0000 4.0365155701 0.0000 0.0482743 0.0042601787 -0.3327405110 0.0000 -10.6913257 0.0000 -0.070643 -0.0062341961 0.12285301

10.1 0.0000 13.148385886 0.0000 0.0664886 0.0058675796 0.1191825110.2 0.0000 -10.76473577 0.0000 -0.038787 -0.0034229537 -0.3049931710.3 0.0000 4.6648723298 0.0000 -0.00123 -0.0001085882 0.3712804810.4 0.0000 2.7607373011 0.0000 0.0385599 0.0034028856 -0.3010510110.5 0.0000 -8.781757403 0.0000 -0.060001 -0.0052950244 0.127092810.6 0.0000 11.323613489 0.0000 0.058777 0.0051870348 0.0825483810.7 0.0000 -9.672645885 0.0000 -0.0366 -0.0032299103 -0.2508872810.8 0.0000 4.654900234 0.0000 0.0025782 0.0002275256 0.32003610.9 0.0000 1.7458197739 0.0000 0.0304541 0.0026875584 -0.27083534

11 0.0000 -7.16252667 0.0000 -0.050738 -0.0044776333 0.1275315111.1 0.0000 9.7131569076 0.0000 0.0517359 0.0045656631 0.0533344211.2 0.0000 -8.646468586 0.0000 -0.034173 -0.0030157861 -0.204963411.3 0.0000 4.5472005964 0.0000 0.0053751 0.000474353 0.2747661811.4 0.0000 0.9481230333 0.0000 0.0237277 0.0020939567 -0.2423741111.5 0.0000 -5.795605201 0.0000 -0.042709 -0.003769048 0.1251140111.6 0.0000 8.29788548 0.0000 0.0453486 0.0040019877 0.030306711.7 0.0000 -7.691751452 0.0000 -0.03162 -0.0027904843 -0.1661561411.8 0.0000 4.3686286286 0.0000 0.0073541 0.0006489963 0.2349457511.9 0.0000 0.3302863986 0.0000 0.0181792 0.001604301 -0.21583966

12 0.0000 -4.647079529 0.0000 -0.035776 -0.0031572086 0.1206094612.1 0.0000 7.0592688194 0.0000 0.0395885 0.0034936603 0.0124079112.2 0.0000 -6.811110538 0.0000 -0.029028 -0.0025616625 -0.1335143712.3 0.0000 4.1408231315 0.0000 0.0086779 0.0007658178 0.2000639812.4 0.0000 -0.139543591 0.0000 0.0136322 0.0012030373 -0.1913195912.5 0.0000 -3.686848159 0.0000 -0.029813 -0.0026309997 0.1146388512.6 0.0000 5.9796251086 0.0000 0.0344221 0.0030377303 -0.0012642512.7 0.0000 -6.004910055 0.0000 -0.026461 -0.0023351316 -0.1061929912.8 0.0000 3.8810502296 0.0000 0.0094824 0.0008368195 0.1696320112.9 0.0000 -0.488409977 0.0000 0.0099334 0.0008766135 -0.16883613

13 0.0000 -2.888312661 0.0000 -0.024706 -0.0021802528 0.1076988113.1 0.0000 5.0422887844 0.0000 0.0298116 0.0026308598 -0.0114765613.2 0.0000 -5.271819891 0.0000 -0.023968 -0.0021151942 -0.0834445213.3 0.0000 3.6029294252 0.0000 0.0098808 0.0008719762 0.1431879313.4 0.0000 -0.739170819 0.0000 0.0069493 0.0006132684 -0.1483620913.5 0.0000 -2.228070901 0.0000 -0.020348 -0.0017957276 0.10018217

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13.6 0.0000 4.231714239 0.0000 0.0257168 0.0022694923 -0.0188777713.7 0.0000 -4.60926964 0.0000 -0.021586 -0.0019049306 -0.0646106913.8 0.0000 3.3170558851 0.0000 0.0099664 0.0008795304 0.1202999113.9 0.0000 -0.911057714 0.0000 0.0045647 0.0004028355 -0.12983381

14 0.0000 -1.685618452 0.0000 -0.016647 -0.0014690777 0.0923955514.1 0.0000 3.5335293704 0.0000 0.0220963 0.0019499847 -0.024014314.2 0.0000 -4.013815345 0.0000 -0.019337 -0.0017064396 -0.0491141914.3 0.0000 3.0315316123 0.0000 0.0098159 0.0008662497 0.1005679714.4 0.0000 -1.020172183 0.0000 0.0026806 0.0002365613 -0.1131617414.5 0.0000 -1.24306259 0.0000 -0.013516 -0.0011928061 0.0845743914.6 0.0000 2.9345504194 0.0000 0.018909 0.0016687071 -0.0273441314.7 0.0000 -3.481432979 0.0000 -0.017236 -0.0015210394 -0.036450814.8 0.0000 2.7524169422 0.0000 0.0094919 0.0008376508 0.0836246114.9 0.0000 -1.079924827 0.0000 0.0012118 0.0001069394 -0.09823883

15 0.0000 -0.884851855 0.0000 -0.010881 -0.0009602132 0.0768957815.1 0.0000 2.4227674942 0.0000 0.0161148 0.0014221178 -0.0292491615.2 0.0000 -3.007750723 0.0000 -0.015291 -0.0013494354 -0.026181915.3 0.0000 2.4841126447 0.0000 0.0090448 0.0007981956 0.0691345215.4 0.0000 -1.101422162 0.0000 8.565E-05 7.5586416E-06 -0.0849472615.5 0.0000 -0.59752309 0.0000 -0.008672 -0.0007653411 0.0694892715.6 0.0000 1.9873084521 0.0000 0.0136751 0.0012068174 -0.030046115.7 0.0000 -2.588230425 0.0000 -0.013506 -0.001191859 -0.0179274315.8 0.0000 2.2296818272 0.0000 0.0085152 0.0007514592 0.0567937915.9 0.0000 -1.09380595 0.0000 -0.00076 -6.703362E-05 -0.07316365

16 0.0000 -0.36946704 0.0000 -0.006832 -0.0006029153 0.0624460216.1 0.0000 1.6183873519 0.0000 0.0115535 0.0010195861 -0.0299959916.2 0.0000 -2.218307077 0.0000 -0.011877 -0.0010481813 -0.0113593616.3 0.0000 1.9911198223 0.0000 0.0079352 0.000700276 0.0463285116.4 0.0000 -1.064549644 0.0000 -0.001376 -0.0001214548 -0.0627631316.5 0.0000 -0.190712866 0.0000 -0.005306 -0.0004682871 0.0558264816.6 0.0000 1.3072424592 0.0000 0.0097157 0.0008574084 -0.0293125716.7 0.0000 -1.893493852 0.0000 -0.010402 -0.0009180065 -0.0061957316.8 0.0000 1.7695793059 0.0000 0.00733 0.0006468646 0.0374931516.9 0.0000 -1.01971632 0.0000 -0.001808 -0.0001595974 -0.05362239

17 0.0000 -0.052731493 0.0000 -0.00405 -0.0003573763 0.0496668117.1 0.0000 1.0460677624 0.0000 0.0081302 0.0007174861 -0.0281695717.2 0.0000 -1.609459089 0.0000 -0.009074 -0.0008007474 -0.002195117.3 0.0000 1.5655570415 0.0000 0.0067189 0.0005929346 0.0300687417.4 0.0000 -0.964182226 0.0000 -0.002093 -0.0001847272 -0.0456219817.5 0.0000 0.0517427211 0.0000 -0.003021 -0.0002666164 0.0439841917.6 0.0000 0.8279411051 0.0000 0.0067677 0.0005972445 -0.0267069817.7 0.0000 -1.362080606 0.0000 -0.007883 -0.0006956862 0.0008483617.8 0.0000 1.3790478614 0.0000 0.0061165 0.0005397772 0.0238609117.9 0.0000 -0.901829756 0.0000 -0.002261 -0.00019957 -0.03864785

18 0.0000 0.1288727426 0.0000 -0.002186 -0.0001929024 0.038781218.1 0.0000 0.6467513291 0.0000 0.0056015 0.0004943314 -0.0250365318.2 0.0000 -1.147481869 0.0000 -0.006822 -0.0006020226 0.0031094518.3 0.0000 1.2096707963 0.0000 0.0055337 0.0004883433 0.01869787

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18.4 0.0000 -0.835713379 0.0000 -0.002339 -0.0002063891 -0.0325925218.5 0.0000 0.1838630062 0.0000 -0.001513 -0.0001335419 0.0340494618.6 0.0000 0.4971262475 0.0000 0.0046075 0.0004066124 -0.0232463818.7 0.0000 -0.962053786 0.0000 -0.00588 -0.0005189119 0.0047358918.8 0.0000 1.0567716303 0.0000 0.004978 0.0004393075 0.0144284918.9 0.0000 -0.768201735 0.0000 -0.002346 -0.0002070521 -0.02735569

19 0.0000 0.2210880058 0.0000 -0.000977 -8.620942E-05 0.0297725419.1 0.0000 0.3743627895 0.0000 0.0037639 0.0003321613 -0.0214051219.2 0.0000 -0.802465277 0.0000 -0.005048 -0.0004454941 0.0058520219.3 0.0000 0.9195055907 0.0000 0.0044547 0.0003931236 0.0109203419.4 0.0000 -0.701098816 0.0000 -0.002301 -0.0002030903 -0.0228446219.5 0.0000 0.2442064725 0.0000 -0.000554 -4.890428E-05 0.0259283419.6 0.0000 0.2743602755 0.0000 0.003051 0.0002692503 -0.0195652519.7 0.0000 -0.665665196 0.0000 -0.004316 -0.0003809166 0.0065619119.8 0.0000 0.7969033806 0.0000 0.0039668 0.0003500701 0.0080578219.9 0.0000 -0.635746893 0.0000 -0.002218 -0.0001957501 -0.01897423

20 0.0000 0.2562622975 0.0000 -0.000226 -1.99122E-05 0.02249099

Masa M 1.4590Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.3820

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 2.1 MAX Uivelocidad inicial Ůo 2.2 MAX U´iaceleracion inicial ϋ o 2.3 MAX U´´i

periodo de la estru T 2.4

CALCULOS INICIALES WnÜo 10.117245314 TnΔt 10.124726679 estabilidad^K 10.13 10.2 NO ESTABLEa 1.34 2.01b 2.92 4.3962

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.117245314 5.0000 5.3441893 0.4716215062 5.032430120.1 5.0000 90.531357171 3.6603 5.081905 0.4484750731 -5.495358790.2 8.6603 -200.4385329 1.3397 0.5556073 0.0490320124 -2.493502430.3 10.0000 150.56848437 -1.3397 -0.677678 -0.0598046378 0.316769420.4 8.6603 -144.2330959 -3.6603 -4.449489 -0.3926647676 -6.973972020.5 5.0000 4.7536555438 -5.0000 -5.963059 -0.5262363939 4.302539490.6 0.0000 81.297134295 0.0000 -0.002393 -0.0002111681 6.217965020.7 0.0000 43.062166192 0.0000 0.6318421 0.0557596851 -5.098547960.8 0.0000 -145.0331254 0.0000 -0.999943 -0.0882443292 2.218467680.9 0.0000 189.40247892 0.0000 0.9897218 0.0873423575 1.29326606

CASOS

ESPECIA

LES

D5110
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D5112
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C5113
estos son datos iniciales?
C5115
esta es igual a la aceleracion del sismo?
G5120
REVIZAR….
B5121
caso de aceleracion promedio
C5121
caso de aceleracion promedio
B5122
este es para el caso de aceleracion promedio
C5122
este es para el caso de aceleracion promedio
B5123
para el caso de aceleracion promedio
C5123
para el caso de aceleracion promedio
A5126
el tiempo lo vamos a variar
B5126
ESTE ES EL DATO QUE VA A VARIAR
D5126
este dato no es igual al de la segunda columna?
C5127
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 139: Hojas de Calculo Fransua

1 0.0000 -163.5371578 0.0000 -0.62609 -0.0552520744 -4.14515471.1 0.0000 80.634063866 0.0000 0.0589594 0.005203134 5.354258861.2 0.0000 26.451113399 0.0000 0.4973966 0.043894951 -4.580422521.3 0.0000 -118.0595639 0.0000 -0.844596 -0.0745351138 2.211821231.4 0.0000 162.2959884 0.0000 0.8702104 0.0767955426 0.81479191.5 0.0000 -146.0001504 0.0000 -0.583145 -0.0514621802 -3.379946361.6 0.0000 78.401223159 0.0000 0.1036386 0.0091460466 4.59211091.7 0.0000 13.440994765 0.0000 0.3859958 0.0340638984 -4.093753861.8 0.0000 -95.31607195 0.0000 -0.710066 -0.0626629122 2.159217651.9 0.0000 138.50042489 0.0000 0.7619666 0.067243094 0.43890248

2 0.0000 -129.7223754 0.0000 -0.538425 -0.0475156995 -2.734078352.1 0.0000 75.040808418 0.0000 0.1348688 0.0119020868 3.922434072.2 0.0000 3.4078730516 0.0000 0.2942527 0.0259676228 -3.641123352.3 0.0000 -76.23034009 0.0000 -0.594023 -0.0524221474 2.073327952.4 0.0000 117.69689902 0.0000 0.6644923 0.0586410461 0.147935922.5 0.0000 -114.7381805 0.0000 -0.49334 -0.0435369232 -2.191495312.6 0.0000 70.908274303 0.0000 0.155354 0.0137098951 3.336431682.7 0.0000 -4.179640722 0.0000 0.2192073 0.019344911 -3.223731362.8 0.0000 -60.29498653 0.0000 -0.494323 -0.0436237277 1.964358592.9 0.0000 99.582158321 0.0000 0.5771825 0.0509360073 -0.07316389

3 0.0000 -101.0454361 0.0000 -0.448951 -0.0396196324 -1.73794893.1 0.0000 66.286458062 0.0000 0.1673509 0.0147686151 2.825713853.2 0.0000 -9.772181026 0.0000 0.1582833 0.0139684022 -2.841718113.3 0.0000 -47.06218115 0.0000 -0.409011 -0.0360949786 1.840450493.4 0.0000 83.871191024 0.0000 0.4993652 0.0440686761 -0.23717743.5 0.0000 -88.61473905 0.0000 -0.406039 -0.0358327386 -1.360850893.6 0.0000 61.397721212 0.0000 0.1727323 0.0152435213 2.382376093.7 0.0000 -13.75019938 0.0000 0.109247 0.0096409851 -2.494426823.8 0.0000 -36.13833695 0.0000 -0.336311 -0.0296792395 1.708022323.9 0.0000 70.298783453 0.0000 0.4303327 0.0379766017 -0.3549055

4 0.0000 -77.39689348 0.0000 -0.365159 -0.0322250445 -1.049127424.1 0.0000 56.414345032 0.0000 0.1730433 0.0152709645 1.99904764.2 0.0000 -16.43339296 0.0000 0.0701698 0.0061924468 -2.180617964.3 0.0000 -27.1789662 0.0000 -0.274622 -0.0242352166 1.572064694.4 0.0000 58.62026004 0.0000 0.3693659 0.0325963196 -0.435433974.5 0.0000 -67.32893941 0.0000 -0.326679 -0.0288292413 -0.793077254.6 0.0000 51.467394439 0.0000 0.1695501 0.014962697 1.668916014.7 0.0000 -18.08907417 0.0000 0.0393927 0.003476385 -1.898642254.8 0.0000 -19.8837709 0.0000 -0.222508 -0.0196361666 1.436391224.9 0.0000 48.611595338 0.0000 0.3157525 0.0278649726 -0.48636844

5 0.0000 -58.33896411 0.0000 -0.290826 -0.0256652498 -0.584236015.1 0.0000 46.654243917 0.0000 0.1632832 0.0144096424 1.385733855.2 0.0000 -18.93956684 0.0000 0.0154945 0.0013673823 -1.646579065.3 0.0000 -13.99201431 0.0000 -0.178686 -0.0157689732 1.303851955.4 0.0000 40.069053264 0.0000 0.2688008 0.0237215116 -0.514042255.5 0.0000 -50.34989828 0.0000 -0.257713 -0.0227429982 -0.415247955.6 0.0000 42.044939378 0.0000 0.1550738 0.0136851674 1.143811265.7 0.0000 -19.16871424 0.0000 -0.002737 -0.0002415621 -1.42234585

Page 140: Hojas de Calculo Fransua

5.8 0.0000 -9.278202723 0.0000 -0.14202 -0.0125331613 1.176513875.9 0.0000 32.808480027 0.0000 0.2278492 0.0201075565 -0.52369951

6 0.0000 -43.28247022 0.0000 -0.227364 -0.0200647165 -0.279745956.1 0.0000 37.687551206 0.0000 0.1455864 0.0128479097 0.937998486.2 0.0000 -18.92758168 0.0000 -0.016333 -0.0014413519 -1.223783716.3 0.0000 -5.548092515 0.0000 -0.111501 -0.0098398864 1.055813026.4 0.0000 26.664352937 0.0000 0.1922731 0.0169679828 -0.519655646.5 0.0000 -37.05746567 0.0000 -0.199739 -0.0176268219 -0.172240466.6 0.0000 33.612656524 0.0000 0.1353461 0.0119442136 0.763661176.7 0.0000 -18.3394332 0.0000 -0.026163 -0.0023088781 -1.0487236.8 0.0000 -2.635026798 0.0000 -0.086243 -0.007610928 0.9426826.9 0.0000 21.488666847 0.0000 0.1614888 0.0142512916 -0.50543761

7 0.0000 -31.59741906 0.0000 -0.174749 -0.0154214547 -0.088017317.1 0.0000 29.837072778 0.0000 0.1247625 0.0110102182 0.616650777.2 0.0000 -17.50405736 0.0000 -0.032962 -0.0029088812 -0.895032767.3 0.0000 -0.396597827 0.0000 -0.06547 -0.0057777063 0.837656267.4 0.0000 17.14972298 0.0000 0.1349562 0.0119098078 -0.483905987.5 0.0000 -26.8278425 0.0000 -0.15227 -0.0134377218 -0.023044617.6 0.0000 26.36695022 0.0000 0.1141497 0.0100736419 0.493271897.7 0.0000 -16.50151249 0.0000 -0.037344 -0.0032956081 -0.760656897.8 0.0000 1.2883747837 0.0000 -0.048503 -0.0042803385 0.740962287.9 0.0000 13.530870726 0.0000 0.1121792 0.0098997468 -0.45736057

8 0.0000 -22.67808208 0.0000 -0.132156 -0.0116626926 0.026111788.1 0.0000 23.200317662 0.0000 0.1037435 0.0091552994 0.390248068.2 0.0000 -15.39535645 0.0000 -0.039822 -0.0035142781 -0.643639618.3 0.0000 2.5225642493 0.0000 -0.034751 -0.0030667447 0.652590288.4 0.0000 10.52924131 0.0000 0.0927052 0.0081811809 -0.427631778.5 0.0000 -19.08187664 0.0000 -0.114247 -0.0100821892 0.062364378.6 0.0000 20.329163945 0.0000 0.0937161 0.0082703869 0.304687168.7 0.0000 -14.23542081 0.0000 -0.04082 -0.0036023764 -0.542142428.8 0.0000 3.392572356 0.0000 -0.023703 -0.00209181 0.572353758.9 0.0000 8.0545026364 0.0000 0.0761244 0.0067179299 -0.39615895

9 0.0000 -15.97768164 0.0000 -0.098374 -0.0086814045 0.088172269.1 0.0000 17.741126877 0.0000 0.0841883 0.0074295656 0.234047149.2 0.0000 -13.06018407 0.0000 -0.040689 -0.0035907882 -0.454454229.3 0.0000 3.9710997245 0.0000 -0.014919 -0.0013166078 0.499937839.4 0.0000 6.0276568102 0.0000 0.0620673 0.0054774001 -0.364057679.5 0.0000 -13.30881021 0.0000 -0.084367 -0.0074453793 0.105602089.6 0.0000 15.420851828 0.0000 0.0752398 0.0066398705 0.176102929.7 0.0000 -11.89879351 0.0000 -0.039715 -0.0035047912 -0.378996159.8 0.0000 4.318870517 0.0000 -0.008019 -0.0007076836 0.43493839.9 0.0000 4.3798955035 0.0000 0.050203 0.004430385 -0.3321769310 0.0000 -11.02343409 0.0000 -0.072061 -0.0063593626 0.11638198

10.1 0.0000 13.351073647 0.0000 0.066918 0.0059054695 0.1289146710.2 0.0000 -10.77278034 0.0000 -0.03813 -0.0033649186 -0.3143224310.3 0.0000 4.4863317956 0.0000 -0.002679 -0.0002364022 0.3768927510.4 0.0000 3.0515232999 0.0000 0.0402365 0.0035508441 -0.3011478310.5 0.0000 -9.074479856 0.0000 -0.061293 -0.0054090767 0.12194941

Page 141: Hojas de Calculo Fransua

10.6 0.0000 11.513468096 0.0000 0.0592445 0.0052282936 0.0907979910.7 0.0000 -9.697508243 0.0000 -0.036122 -0.0031877086 -0.2591180410.8 0.0000 4.5151475184 0.0000 0.0013784 0.0001216462 0.3253051310.9 0.0000 1.9909551267 0.0000 0.0319058 0.0028156689 -0.27142468

11 0.0000 -7.419448684 0.0000 -0.051909 -0.0045809059 0.1234931811.1 0.0000 9.8893123189 0.0000 0.052222 0.0046085565 0.0602960711.2 0.0000 -8.683390986 0.0000 -0.03384 -0.0029863512 -0.2121942211.3 0.0000 4.4395065633 0.0000 0.0043874 0.0003871811 0.2796648711.4 0.0000 1.1537907653 0.0000 0.0249797 0.002204444 -0.2433196111.5 0.0000 -6.020182943 0.0000 -0.043763 -0.0038620237 0.1219902611.6 0.0000 8.4599880636 0.0000 0.0458381 0.0040451818 0.0361538511.7 0.0000 -7.736910985 0.0000 -0.031402 -0.0027712447 -0.1724823811.8 0.0000 4.2872633065 0.0000 0.0065464 0.0005777119 0.2394615211.9 0.0000 0.5019670128 0.0000 0.0192546 0.0016992105 -0.21703154

12 0.0000 -4.842597884 0.0000 -0.036719 -0.0032404706 0.1182379212.1 0.0000 7.2073563203 0.0000 0.04007 0.0035361495 0.0172944812.2 0.0000 -6.861466738 0.0000 -0.028901 -0.0025504728 -0.1390269312.3 0.0000 4.0809282363 0.0000 0.0080223 0.0007079672 0.2041957212.4 0.0000 0.0029862584 0.0000 0.0145524 0.0012842366 -0.1926703412.5 0.0000 -3.856393004 0.0000 -0.030654 -0.0027051939 0.1128817312.6 0.0000 6.1140275739 0.0000 0.0348872 0.0030787767 0.0027976812.7 0.0000 -6.058073919 0.0000 -0.026405 -0.0023302117 -0.1109774512.8 0.0000 3.8385249228 0.0000 0.008955 0.0007902754 0.1733871912.9 0.0000 -0.370781103 0.0000 0.0107173 0.0009457962 -0.17027677

13 0.0000 -3.034754385 0.0000 -0.025451 -0.0022460583 0.1064396813.1 0.0000 5.1635480688 0.0000 0.0302545 0.0026699417 -0.0081196813.2 0.0000 -5.32594176 0.0000 -0.023967 -0.0021150758 -0.0875806713.3 0.0000 3.5743284454 0.0000 0.0094607 0.0008349022 0.1465802313.4 0.0000 -0.642723934 0.0000 0.0076144 0.0006719619 -0.1498390313.5 0.0000 -2.354056695 0.0000 -0.021007 -0.0018538335 0.0993231213.6 0.0000 4.3405191597 0.0000 0.0261335 0.0023062615 -0.0161212213.7 0.0000 -4.662943616 0.0000 -0.021625 -0.0019084108 -0.0681722213.8 0.0000 3.2994991386 0.0000 0.0096357 0.0008503472 0.1233473813.9 0.0000 -0.83255145 0.0000 0.0051265 0.0004524094 -0.13130614

14 0.0000 -1.793571353 0.0000 -0.017226 -0.001520166 0.0918546314.1 0.0000 3.6306639776 0.0000 0.0224843 0.0019842301 -0.0217667114.2 0.0000 -4.06599815 0.0000 -0.019406 -0.00171254 -0.0521686914.3 0.0000 3.0226242936 0.0000 0.0095593 0.0008436044 0.1032915814.4 0.0000 -0.956792668 0.0000 0.0031529 0.0002782379 -0.1145989114.5 0.0000 -1.33518558 0.0000 -0.014023 -0.0012375387 0.0842833814.6 0.0000 3.020853204 0.0000 0.0192673 0.001700325 -0.0255261114.7 0.0000 -3.531375375 0.0000 -0.017326 -0.0015289708 -0.0390598114.8 0.0000 2.7501792597 0.0000 0.0092963 0.0008203897 0.0860470214.9 0.0000 -1.029238944 0.0000 0.0016069 0.000141804 -0.09961873

15 0.0000 -0.963135674 0.0000 -0.011323 -0.0009992226 0.076798215.1 0.0000 2.4990996647 0.0000 0.016443 0.001451087 -0.0277920115.2 0.0000 -3.054939824 0.0000 -0.015395 -0.0013585673 -0.0284010815.3 0.0000 2.4869182543 0.0000 0.0088991 0.0007853385 0.0712792

Page 142: Hojas de Calculo Fransua

15.4 0.0000 -1.061334345 0.0000 0.0004144 3.6570777E-05 -0.0862545515.5 0.0000 -0.663756662 0.0000 -0.009056 -0.0007992242 0.0695386515.6 0.0000 2.0545296871 0.0000 0.0139738 0.0012331791 -0.0288905915.7 0.0000 -2.632341398 0.0000 -0.013617 -0.0012016934 -0.0198068615.8 0.0000 2.2362041122 0.0000 0.00841 0.0007421773 0.0586842815.9 0.0000 -1.06251856 0.0000 -0.000488 -4.302928E-05 -0.07438841

16 0.0000 -0.425249618 0.0000 -0.007164 -0.0006322296 0.062604416.1 0.0000 1.6773376734 0.0000 0.0118236 0.0010434274 -0.0290912616.2 0.0000 -2.259162923 0.0000 -0.011992 -0.00105833 -0.0129438916.3 0.0000 2.000285207 0.0000 0.0078626 0.0006938716 0.0479879216.4 0.0000 -1.040526876 0.0000 -0.001153 -0.0001017178 -0.063899716.5 0.0000 -0.237467218 0.0000 -0.005593 -0.0004935484 0.0560630916.6 0.0000 1.3587290798 0.0000 0.0099587 0.0008788487 -0.0286151516.7 0.0000 -1.931032102 0.0000 -0.010518 -0.000928172 -0.0075252616.8 0.0000 1.7805268419 0.0000 0.0072834 0.0006427531 0.0389437716.9 0.0000 -1.001651533 0.0000 -0.001626 -0.0001434814 -0.05466846

17 0.0000 -0.091717577 0.0000 -0.004295 -0.0003790583 0.0499569217.1 0.0000 1.0908559417 0.0000 0.0083476 0.0007366665 -0.0276424217.2 0.0000 -1.643704393 0.0000 -0.009187 -0.0008107067 -0.0033050417.3 0.0000 1.5776035623 0.0000 0.0066927 0.0005906288 0.0313317517.4 0.0000 -0.950968544 0.0000 -0.001945 -0.00017167 -0.0465777317.5 0.0000 0.0194140123 0.0000 -0.003231 -0.0002851508 0.0443081117.6 0.0000 0.8667482046 0.0000 0.0069612 0.0006143194 -0.0263187117.7 0.0000 -1.393122332 0.0000 -0.007992 -0.0007052766 -7.3214E-0517.8 0.0000 1.3916580573 0.0000 0.0061063 0.0005388735 0.0249562217.9 0.0000 -0.892533749 0.0000 -0.002143 -0.0001890849 -0.03951538

18 0.0000 0.1022260754 0.0000 -0.002365 -0.0002086804 0.0391234718.1 0.0000 0.6802433913 0.0000 0.005773 0.0005094619 -0.0247606318.2 0.0000 -1.175455927 0.0000 -0.006925 -0.0006111302 0.0023487818.3 0.0000 1.2224316192 0.0000 0.0055356 0.000488509 0.01964418.4 0.0000 -0.829551613 0.0000 -0.002244 -0.0001980561 -0.033375318.5 0.0000 0.1620455733 0.0000 -0.001665 -0.0001469159 0.0343981118.6 0.0000 0.5259165392 0.0000 0.0047588 0.0004199607 -0.0230605718.7 0.0000 -0.987128018 0.0000 -0.005977 -0.0005274618 0.0041121218.8 0.0000 1.0693704914 0.0000 0.0049889 0.0004402707 0.0152425318.9 0.0000 -0.764519982 0.0000 -0.002272 -0.0002005102 -0.02805814

19 0.0000 0.2033571268 0.0000 -0.001105 -9.749492E-05 0.0301184519.1 0.0000 0.3990118467 0.0000 0.0038968 0.0003438876 -0.021290819.2 0.0000 -0.824827825 0.0000 -0.005138 -0.0004534423 0.005344219.3 0.0000 0.9317118695 0.0000 0.0044721 0.0003946633 0.0116179119.4 0.0000 -0.699353704 0.0000 -0.002244 -0.0001980307 -0.0234717919.5 0.0000 0.2299179363 0.0000 -0.000662 -5.838264E-05 0.0262647519.6 0.0000 0.2953770728 0.0000 0.0031673 0.0002795092 -0.0195069119.7 0.0000 -0.685515356 0.0000 -0.004399 -0.0003882429 0.0061518719.8 0.0000 0.8085528111 0.0000 0.0039888 0.0003520083 0.0086531519.9 0.0000 -0.635489771 0.0000 -0.002175 -0.0001919097 -0.01953151

20 0.0000 0.2448595114 0.0000 -0.000315 -2.783305E-05 0.02281305

Page 143: Hojas de Calculo Fransua

Masa M 1.5831Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.3979

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 2.2 MAX Uivelocidad inicial Ůo 2.3 MAX U´iaceleracion inicial ϋ o 2.4 MAX U´´i

periodo de la estru T 2.5

CALCULOS INICIALES WnÜo 10.124726679 TnΔt 10.132385227 estabilidad^K 10.14 10.2 NO ESTABLEa 1.42 2.13b 3.17 4.7693

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.124726679 5.0000 5.3575425 0.4727999109 4.855998220.1 5.0000 86.995237679 3.6603 5.0538138 0.4459960358 -5.392075720.2 8.6603 -194.8367521 1.3397 0.5875616 0.0518519553 -2.490805890.3 10.0000 145.02063426 -1.3397 -0.701849 -0.0619377491 0.21501180.4 8.6603 -140.7203982 -3.6603 -4.441309 -0.3919428322 -6.815113470.5 5.0000 4.4181288611 -5.0000 -5.953221 -0.5253682268 4.146605580.6 0.0000 78.513982643 0.0000 -0.025718 -0.002269594 6.315367080.7 0.0000 47.793358959 0.0000 0.6595544 0.0582052799 -5.10586960.8 0.0000 -149.910751 0.0000 -1.021884 -0.0901806466 2.138151070.9 0.0000 192.67377239 0.0000 0.998369 0.0881054635 1.42757113

1 0.0000 -164.1223497 0.0000 -0.619097 -0.054634948 -4.282379361.1 0.0000 78.474762491 0.0000 0.0397061 0.0035040407 5.445159141.2 0.0000 30.428420233 0.0000 0.5213353 0.0460075249 -4.595089451.3 0.0000 -122.3302093 0.0000 -0.864395 -0.0762823523 2.149291911.4 0.0000 165.31604747 0.0000 0.8790207 0.0775730512 0.927816161.5 0.0000 -146.7597243 0.0000 -0.578433 -0.0510463547 -3.500204281.6 0.0000 76.755638683 0.0000 0.0878494 0.0077526548 4.676184471.7 0.0000 16.768050696 0.0000 0.4065928 0.0358815731 -4.11360611.8 0.0000 -99.04017275 0.0000 -0.727834 -0.064230921 2.111356221.9 0.0000 141.26729714 0.0000 0.7707095 0.0680146474 0.53355515

2 0.0000 -130.5961942 0.0000 -0.535523 -0.0472595886 -2.839039872.1 0.0000 73.815396779 0.0000 0.1220138 0.010767648 3.99958462.2 0.0000 6.1762952212 0.0000 0.3119035 0.027525299 -3.664431582.3 0.0000 -79.46492683 0.0000 -0.609887 -0.0538221623 2.037482362.4 0.0000 120.21457393 0.0000 0.6729964 0.0593915261 0.226791412.5 0.0000 -115.6787457 0.0000 -0.491855 -0.0434059424 -2.282740792.6 0.0000 70.023929952 0.0000 0.1449735 0.0127938219 3.406736072.7 0.0000 -1.8892085 0.0000 0.2342716 0.0206743251 -3.24912601

CASOS

ESPECIA

LES

D5332
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D5334
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C5335
estos son datos iniciales?
C5337
esta es igual a la aceleracion del sismo?
G5342
REVIZAR….
B5343
caso de aceleracion promedio
C5343
caso de aceleracion promedio
B5344
este es para el caso de aceleracion promedio
C5344
este es para el caso de aceleracion promedio
B5345
para el caso de aceleracion promedio
C5345
para el caso de aceleracion promedio
A5348
el tiempo lo vamos a variar
B5348
ESTE ES EL DATO QUE VA A VARIAR
D5348
este dato no es igual al de la segunda columna?
C5349
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 144: Hojas de Calculo Fransua

2.8 0.0000 -63.09331168 0.0000 -0.50842 -0.0448677806 1.938283892.9 0.0000 101.85898956 0.0000 0.5853246 0.0516545451 -0.00783738

3 0.0000 -102.0157371 0.0000 -0.44856 -0.039585186 -1.816957243.1 0.0000 65.676592256 0.0000 0.1590471 0.0140358083 2.889377133.2 0.0000 -7.889049679 0.0000 0.171086 0.015098238 -2.868128533.3 0.0000 -49.47352101 0.0000 -0.421481 -0.0371954391 1.822254993.4 0.0000 85.918620881 0.0000 0.5070609 0.0447478195 -0.183389823.5 0.0000 -89.58641733 0.0000 -0.406477 -0.0358713318 -1.42899323.6 0.0000 61.006553274 0.0000 0.1661626 0.0146637479 2.439694793.7 0.0000 -12.21265738 0.0000 0.1200804 0.010597022 -2.521029313.8 0.0000 -38.20792888 0.0000 -0.347294 -0.0306484634 1.696119613.9 0.0000 72.130320994 0.0000 0.4375284 0.0386116177 -0.31091798

4 0.0000 -78.34868066 0.0000 -0.366207 -0.0323175083 -1.107664544.1 0.0000 56.195389891 0.0000 0.1679137 0.0148182866 2.050380444.2 0.0000 -15.18778114 0.0000 0.079295 0.0069977342 -2.206791494.3 0.0000 -28.94804859 0.0000 -0.284254 -0.0250852833 1.565131144.4 0.0000 60.250671329 0.0000 0.3760322 0.0331846138 -0.399733194.5 0.0000 -68.24533522 0.0000 -0.328162 -0.0289600596 -0.843160274.6 0.0000 51.382129743 0.0000 0.1656097 0.0146149524 1.714660514.7 0.0000 -17.08891945 0.0000 0.047042 0.0041514314 -1.923930934.8 0.0000 -21.38969923 0.0000 -0.230922 -0.0203786886 1.433328534.9 0.0000 50.056269898 0.0000 0.3218788 0.0284056079 -0.4576426

5 0.0000 -59.20912196 0.0000 -0.292602 -0.0258219763 -0.626909085.1 0.0000 46.670940337 0.0000 0.1603181 0.0141479736 1.426308085.2 0.0000 -18.14477874 0.0000 0.0218738 0.0019303516 -1.670660525.3 0.0000 -15.26843167 0.0000 -0.186007 -0.0164149632 1.303754235.4 0.0000 41.343516171 0.0000 0.2743907 0.0242148124 -0.491158715.5 0.0000 -51.16669041 0.0000 -0.25967 -0.0229157534 -0.451452615.6 0.0000 42.137638309 0.0000 0.152903 0.013493598 1.179639635.7 0.0000 -18.54484565 0.0000 0.0025535 0.0002253469 -1.445004655.8 0.0000 -10.35524745 0.0000 -0.148363 -0.0130929455 1.178638815.9 0.0000 33.928023588 0.0000 0.232917 0.020554785 -0.5056842

6 0.0000 -44.04170752 0.0000 -0.229415 -0.0202457564 -0.310326636.1 0.0000 37.83517488 0.0000 0.1440572 0.0127129649 0.969501066.2 0.0000 -18.44515371 0.0000 -0.011971 -0.0010564393 -1.244889146.3 0.0000 -6.452629167 0.0000 -0.116976 -0.0103230548 1.059556836.4 0.0000 27.643765848 0.0000 0.1968407 0.0173710764 -0.505674216.5 0.0000 -37.75725005 0.0000 -0.201816 -0.0178101682 -0.197950686.6 0.0000 33.798236447 0.0000 0.1343305 0.0118545825 0.791245696.7 0.0000 -17.97332258 0.0000 -0.022591 -0.0019936634 -1.068210616.8 0.0000 -3.390889641 0.0000 -0.09095 -0.0080263126 0.947557636.9 0.0000 22.342042199 0.0000 0.1655836 0.0146126514 -0.49477835

7 0.0000 -32.23760916 0.0000 -0.176801 -0.0156025804 -0.109526297.1 0.0000 30.047083399 0.0000 0.1241533 0.010956454 0.640706987.2 0.0000 -17.23294387 0.0000 -0.030059 -0.0026526529 -0.912889117.3 0.0000 -1.024838431 0.0000 -0.069501 -0.0061333811 0.843274557.4 0.0000 17.890329443 0.0000 0.1386087 0.0122321309 -0.475964317.5 0.0000 -27.40961566 0.0000 -0.154259 -0.0136132844 -0.04094399

Page 145: Hojas de Calculo Fransua

7.6 0.0000 26.590735759 0.0000 0.113858 0.0100478973 0.514167637.7 0.0000 -16.30738319 0.0000 -0.035004 -0.0030890738 -0.776907057.8 0.0000 0.7692421957 0.0000 -0.05194 -0.0045836362 0.74701587.9 0.0000 14.171073828 0.0000 0.1154217 0.0101858937 -0.4516252

8 0.0000 -23.20357789 0.0000 -0.134055 -0.0118303086 0.011301168.1 0.0000 23.429601046 0.0000 0.1036958 0.0091510939 0.408326898.2 0.0000 -15.2630632 0.0000 -0.037954 -0.0033494085 -0.658336948.3 0.0000 2.0963244087 0.0000 -0.037669 -0.0033242846 0.658839428.4 0.0000 11.080463926 0.0000 0.0955709 0.0084340728 -0.423672278.5 0.0000 -19.55390931 0.0000 -0.116038 -0.0102402444 0.050185938.6 0.0000 20.557627823 0.0000 0.0938522 0.0082824034 0.320267038.7 0.0000 -14.15228721 0.0000 -0.039346 -0.0034722608 -0.555360318.8 0.0000 3.0450809119 0.0000 -0.026171 -0.0023095351 0.578614838.9 0.0000 8.527215697 0.0000 0.0786461 0.0069404707 -0.39361472

9 0.0000 -16.39951001 0.0000 -0.100045 -0.0088288961 0.078227389.1 0.0000 17.964057624 0.0000 0.0844592 0.0074534724 0.247419999.2 0.0000 -13.01565781 0.0000 -0.039541 -0.0034895029 -0.46627959.3 0.0000 3.6900678658 0.0000 -0.016995 -0.001499826 0.506073049.4 0.0000 6.4313928385 0.0000 0.0642771 0.005672418 -0.362628169.5 0.0000 -13.68395595 0.0000 -0.085913 -0.0075817837 0.097544129.6 0.0000 15.634838394 0.0000 0.0756058 0.0066721677 0.18753499.7 0.0000 -11.88414031 0.0000 -0.038836 -0.0034272786 -0.389523839.8 0.0000 4.0936637148 0.0000 -0.009758 -0.0008611134 0.440847139.9 0.0000 4.7232789605 0.0000 0.0521317 0.0046005909 -0.3316130510 0.0000 -11.35553989 0.0000 -0.07348 -0.0064845262 0.1099107

10.1 0.0000 13.553753977 0.0000 0.0673473 0.0059433551 0.1386469210.2 0.0000 -10.78081558 0.0000 -0.037472 -0.0033068793 -0.3236516110.3 0.0000 4.3077834547 0.0000 -0.004127 -0.0003642188 0.3825048210.4 0.0000 3.3423128633 0.0000 0.0419131 0.0036988027 -0.3012443910.5 0.0000 -9.367200596 0.0000 -0.062585 -0.0055231266 0.116805810.6 0.0000 11.703316621 0.0000 0.059712 0.0052695486 0.099047710.7 0.0000 -9.722362569 0.0000 -0.035643 -0.0031455032 -0.2673487410.8 0.0000 4.3753878058 0.0000 0.0001786 1.5764447E-05 0.3305740910.9 0.0000 2.2360939983 0.0000 0.0333575 0.0029437798 -0.27201378

11 0.0000 -7.676369676 0.0000 -0.053079 -0.0046841767 0.1194546611.1 0.0000 10.065462787 0.0000 0.052708 0.0046514468 0.0672578111.2 0.0000 -8.720306511 0.0000 -0.033506 -0.002956913 -0.2194250111.3 0.0000 4.3318062902 0.0000 0.0033995 0.0003000069 0.2845634111.4 0.0000 1.3594619057 0.0000 0.0262317 0.0023149316 -0.2442649111.5 0.0000 -6.244760201 0.0000 -0.044816 -0.0039549979 0.1188663211.6 0.0000 8.6220866638 0.0000 0.0463275 0.0040883732 0.042001111.7 0.0000 -7.782064657 0.0000 -0.031184 -0.0027520023 -0.1788086111.8 0.0000 4.2058924457 0.0000 0.0057386 0.0005064255 0.2439771711.9 0.0000 0.6736508796 0.0000 0.0203301 0.0017941206 -0.21822326

12 0.0000 -5.03811617 0.0000 -0.037663 -0.0033237314 0.1158662212.1 0.0000 7.3554406427 0.0000 0.0405514 0.0035786365 0.0221811312.2 0.0000 -6.91181796 0.0000 -0.028774 -0.0025392806 -0.1445394812.3 0.0000 4.0210284468 0.0000 0.0073668 0.0006501146 0.20832738

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12.4 0.0000 0.1455191739 0.0000 0.0154725 0.0013654364 -0.1940209512.5 0.0000 -4.025938093 0.0000 -0.031495 -0.0027793873 0.1111244712.6 0.0000 6.2484275319 0.0000 0.0353523 0.0031198212 0.006859712.7 0.0000 -6.111233575 0.0000 -0.026349 -0.0023252896 -0.1157619112.8 0.0000 3.7959953099 0.0000 0.0084276 0.0007437296 0.177142312.9 0.0000 -0.253149368 0.0000 0.0115013 0.0010149796 -0.1717173

13 0.0000 -3.18119658 0.0000 -0.026197 -0.0023118632 0.1051804413.1 0.0000 5.2848054026 0.0000 0.0306973 0.0027090221 -0.0047627313.2 0.0000 -5.380060089 0.0000 -0.023966 -0.0021149556 -0.0917168213.3 0.0000 3.5457236926 0.0000 0.0090406 0.0007978266 0.1499724613.4 0.0000 -0.546274405 0.0000 0.0082794 0.000730656 -0.1513158813.5 0.0000 -2.480043123 0.0000 -0.021665 -0.0019119391 0.0984639713.6 0.0000 4.4493225887 0.0000 0.0265501 0.0023430294 -0.013364613.7 0.0000 -4.716614628 0.0000 -0.021665 -0.0019118895 -0.0717337813.8 0.0000 3.2819390996 0.0000 0.009305 0.0008211625 0.1263948213.9 0.0000 -0.75404276 0.0000 0.0056882 0.000501984 -0.13277839

14 0.0000 -1.901524993 0.0000 -0.017805 -0.0015712542 0.0913136214.1 0.0000 3.7277974689 0.0000 0.0228724 0.0020184745 -0.0195190514.2 0.0000 -4.118178487 0.0000 -0.019475 -0.001718639 -0.0552232214.3 0.0000 3.013714113 0.0000 0.0093027 0.000820958 0.1060151614.4 0.0000 -0.893410943 0.0000 0.0036251 0.0003199151 -0.1160360214.5 0.0000 -1.427309373 0.0000 -0.01453 -0.0012822712 0.0839922914.6 0.0000 3.1071551781 0.0000 0.0196255 0.001731942 -0.0237080314.7 0.0000 -3.581315727 0.0000 -0.017415 -0.001536901 -0.0416688314.8 0.0000 2.7479390996 0.0000 0.0091007 0.0008031276 0.088469414.9 0.0000 -0.97855106 0.0000 0.0020019 0.0001766692 -0.10099857

15 0.0000 -1.041420328 0.0000 -0.011765 -0.0010382319 0.0767005515.1 0.0000 2.5754312709 0.0000 0.0167713 0.0014800555 -0.026334815.2 0.0000 -3.102127242 0.0000 -0.015498 -0.0013676982 -0.0306202815.3 0.0000 2.4897217274 0.0000 0.0087534 0.0007724805 0.0734238515.4 0.0000 -1.021244727 0.0000 0.0007432 6.5583505E-05 -0.0875617915.5 0.0000 -0.729991073 0.0000 -0.00944 -0.0008331073 0.0695879715.6 0.0000 2.1217505545 0.0000 0.0142725 0.0012595403 -0.0277350215.7 0.0000 -2.676450995 0.0000 -0.013728 -0.0012115269 -0.0216863215.8 0.0000 2.2427245623 0.0000 0.0083048 0.0007328946 0.0605747515.9 0.0000 -1.031229558 0.0000 -0.000216 -1.902438E-05 -0.07561313

16 0.0000 -0.481033021 0.0000 -0.007496 -0.0006615439 0.0627627416.1 0.0000 1.7362877824 0.0000 0.0120938 0.0010672683 -0.0281864916.2 0.0000 -2.300017653 0.0000 -0.012107 -0.0010684779 -0.0145284316.3 0.0000 2.009449022 0.0000 0.00779 0.0006874664 0.0496473216.4 0.0000 -1.016502671 0.0000 -0.000929 -8.198036E-05 -0.0650362516.5 0.0000 -0.284222367 0.0000 -0.005879 -0.0005188098 0.0562996616.6 0.0000 1.4102156087 0.0000 0.0102016 0.0009002886 -0.0279176916.7 0.0000 -1.968569454 0.0000 -0.010633 -0.000938337 -0.0088548216.8 0.0000 1.7914730407 0.0000 0.0072368 0.0006386409 0.0403943816.9 0.0000 -0.983585472 0.0000 -0.001443 -0.0001273649 -0.05571449

17 0.0000 -0.130704419 0.0000 -0.004541 -0.0004007404 0.0502469917.1 0.0000 1.1356441216 0.0000 0.0085649 0.0007558467 -0.02711524

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17.2 0.0000 -1.677948983 0.0000 -0.009299 -0.0008206655 -0.00441517.3 0.0000 1.5896489488 0.0000 0.0066666 0.0005883224 0.0325947617.4 0.0000 -0.937753739 0.0000 -0.001797 -0.0001586124 -0.0475334617.5 0.0000 -0.01291541 0.0000 -0.003441 -0.0003036854 0.04463217.6 0.0000 0.9055553738 0.0000 0.0071547 0.0006313942 -0.0259304117.7 0.0000 -1.424163496 0.0000 -0.008101 -0.0007148666 -0.0009948117.8 0.0000 1.4042672954 0.0000 0.006096 0.0005379693 0.0260515317.9 0.0000 -0.883236754 0.0000 -0.002024 -0.0001785994 -0.0403829

18 0.0000 0.0755787443 0.0000 -0.002543 -0.0002244587 0.0394657218.1 0.0000 0.7137355737 0.0000 0.0059444 0.0005245922 -0.024484718.2 0.0000 -1.203429548 0.0000 -0.007028 -0.0006202375 0.001588118.3 0.0000 1.2351916369 0.0000 0.0055374 0.0004886743 0.0205901318.4 0.0000 -0.823388982 0.0000 -0.00215 -0.0001897227 -0.0341580718.5 0.0000 0.1402275276 0.0000 -0.001816 -0.00016029 0.0347467318.6 0.0000 0.5547069861 0.0000 0.00491 0.000433309 -0.0228747518.7 0.0000 -1.012201917 0.0000 -0.006074 -0.0005360115 0.0034883418.8 0.0000 1.081968679 0.0000 0.0049998 0.0004412334 0.0160565618.9 0.0000 -0.760837475 0.0000 -0.002198 -0.000193968 -0.02876059

19 0.0000 0.1856256864 0.0000 -0.001233 -0.0001087806 0.0304643419.1 0.0000 0.4236610821 0.0000 0.0040296 0.0003556137 -0.0211764519.2 0.0000 -0.847190126 0.0000 -0.005228 -0.0004613902 0.0048363719.3 0.0000 0.943917588 0.0000 0.0044896 0.0003962026 0.0123154819.4 0.0000 -0.697607937 0.0000 -0.002187 -0.0001929709 -0.0240989519.5 0.0000 0.2156288893 0.0000 -0.000769 -6.786116E-05 0.0266011519.6 0.0000 0.3163940616 0.0000 0.0032835 0.000289768 -0.0194485619.7 0.0000 -0.705365338 0.0000 -0.004482 -0.0003955691 0.0057418219.8 0.0000 0.8202017781 0.0000 0.0040107 0.0003539463 0.0092484819.9 0.0000 -0.635232082 0.0000 -0.002131 -0.000188069 -0.02008879

20 0.0000 0.2334562634 0.0000 -0.000405 -3.575405E-05 0.02313509

Masa M 1.7123Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.4138

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 2.3 MAX Uivelocidad inicial Ůo 2.4 MAX U´iaceleracion inicial ϋ o 2.5 MAX U´´i

periodo de la estru T 2.6

CALCULOS INICIALES WnÜo 10.132385227 TnΔt 10.140219526 estabilidad^K 10.15 10.2 NO ESTABLEa 1.50 2.25b 3.42 5.1577

CASOS

ESPECIA

LES

D5554
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D5556
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C5557
estos son datos iniciales?
C5559
esta es igual a la aceleracion del sismo?
G5564
REVIZAR….
B5565
caso de aceleracion promedio
C5565
caso de aceleracion promedio
B5566
este es para el caso de aceleracion promedio
C5566
este es para el caso de aceleracion promedio
B5567
para el caso de aceleracion promedio
C5567
para el caso de aceleracion promedio
Page 148: Hojas de Calculo Fransua

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.132385227 5.0000 5.3708965 0.4739783948 4.67956790.1 5.0000 83.45897269 3.6603 5.025722 0.4435169521 -5.288796750.2 8.6603 -189.2349077 1.3397 0.6195158 0.054671897 -2.488104350.3 10.0000 139.47282067 -1.3397 -0.72602 -0.0640708148 0.113250120.4 8.6603 -137.2078184 -3.6603 -4.433129 -0.3912209681 -6.656253180.5 5.0000 4.08275473 -5.0000 -5.943383 -0.5244999896 3.990672750.6 0.0000 75.730700303 0.0000 -0.049044 -0.0043280636 6.412765770.7 0.0000 52.524615038 0.0000 0.6872667 0.0606508782 -5.113186930.8 0.0000 -154.7883537 0.0000 -1.043825 -0.0921169281 2.05783080.9 0.0000 195.94496974 0.0000 1.0070154 0.0888685093 1.56187794

1 0.0000 -164.7074109 0.0000 -0.612103 -0.0540177599 -4.419603331.1 0.0000 76.315344333 0.0000 0.0204523 0.0018049066 5.536056661.2 0.0000 34.405788834 0.0000 0.545274 0.0481201054 -4.609752681.3 0.0000 -126.6008425 0.0000 -0.884194 -0.0780295629 2.086759321.4 0.0000 168.33602882 0.0000 0.8878305 0.078350509 1.040842121.5 0.0000 -147.5191864 0.0000 -0.57372 -0.0506304752 -3.62046181.6 0.0000 75.109950353 0.0000 0.0720597 0.0063592253 4.760255811.7 0.0000 20.095165907 0.0000 0.4271899 0.0376992568 -4.133455181.8 0.0000 -102.7642696 0.0000 -0.745602 -0.0657989084 2.063491881.9 0.0000 144.03410711 0.0000 0.7794518 0.0687861584 0.62820946

2 0.0000 -131.4699179 0.0000 -0.53262 -0.0470034305 -2.944001242.1 0.0000 72.589893206 0.0000 0.1091585 0.0096331745 4.076733342.2 0.0000 8.9447735326 0.0000 0.3295545 0.0290829856 -3.687737122.3 0.0000 -82.69951584 0.0000 -0.625751 -0.0552221611 2.001634182.4 0.0000 122.73219947 0.0000 0.6815 0.0601419708 0.305648462.5 0.0000 -116.6192303 0.0000 -0.490371 -0.0432749207 -2.373986292.6 0.0000 69.139504572 0.0000 0.1345926 0.0118777171 3.477039042.7 0.0000 0.4012763042 0.0000 0.249336 0.0220037507 -3.274518372.8 0.0000 -65.89164376 0.0000 -0.522517 -0.0461118219 1.912206922.9 0.0000 104.13578216 0.0000 0.5934664 0.0523730537 0.05749059

3 0.0000 -102.9859703 0.0000 -0.44817 -0.0395507042 -1.895965753.1 0.0000 65.066655334 0.0000 0.1507429 0.0133029729 2.953039293.2 0.0000 -6.005869548 0.0000 0.1838889 0.0162280856 -2.894537033.3 0.0000 -51.88487113 0.0000 -0.433951 -0.0382958915 1.804057493.4 0.0000 87.966020967 0.0000 0.5147563 0.0454269388 -0.129600893.5 0.0000 -90.55803869 0.0000 -0.406914 -0.0359098943 -1.497135783.6 0.0000 60.615323175 0.0000 0.1595926 0.0140839486 2.497012633.7 0.0000 -10.67507048 0.0000 0.1309139 0.0115530708 -2.547630193.8 0.0000 -40.27753334 0.0000 -0.358276 -0.031617682 1.684215143.9 0.0000 73.961836046 0.0000 0.4447239 0.0392466141 -0.26692921

4 0.0000 -79.30042034 0.0000 -0.367254 -0.0324099459 -1.166201994.1 0.0000 55.976380634 0.0000 0.1627839 0.0143655857 2.101712624.2 0.0000 -13.9421283 0.0000 0.0884202 0.0078030334 -2.232963664.3 0.0000 -30.71714494 0.0000 -0.293887 -0.0259353469 1.558196064.4 0.0000 61.881066067 0.0000 0.3826983 0.0337728921 -0.364031284.5 0.0000 -69.16169161 0.0000 -0.329644 -0.0290908555 -0.89324367

A5570
el tiempo lo vamos a variar
B5570
ESTE ES EL DATO QUE VA A VARIAR
D5570
este dato no es igual al de la segunda columna?
C5571
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 149: Hojas de Calculo Fransua

4.6 0.0000 51.296818123 0.0000 0.1616689 0.0142671873 1.760404534.7 0.0000 -16.08872752 0.0000 0.0546915 0.0048264892 -1.949218494.8 0.0000 -22.8956423 0.0000 -0.239335 -0.0211212093 1.430264524.9 0.0000 51.500932711 0.0000 0.3280048 0.0289462304 -0.42891573

5 0.0000 -60.07924727 0.0000 -0.294378 -0.0259786837 -0.669582555.1 0.0000 46.687596228 0.0000 0.1573528 0.0138862866 1.466881965.2 0.0000 -17.34995708 0.0000 0.0282532 0.0024933317 -1.694741065.3 0.0000 -16.54486403 0.0000 -0.193327 -0.0170609532 1.303655365.4 0.0000 42.617971183 0.0000 0.2799804 0.024708103 -0.468274235.5 0.0000 -51.98345587 0.0000 -0.261628 -0.0230884925 -0.487657675.6 0.0000 42.230302373 0.0000 0.150732 0.0133020124 1.215467775.7 0.0000 -17.92094693 0.0000 0.0078444 0.000692266 -1.46766275.8 0.0000 -11.43230705 0.0000 -0.154706 -0.0136527308 1.180762765.9 0.0000 35.047562308 0.0000 0.2379847 0.0210020054 -0.48766804

6 0.0000 -44.8009231 0.0000 -0.231467 -0.0204267826 -0.340907726.1 0.0000 37.982768679 0.0000 0.1425279 0.0125780059 1.001003496.2 0.0000 -17.96269884 0.0000 -0.007609 -0.0006715173 -1.265993966.3 0.0000 -7.357180276 0.0000 -0.122451 -0.010806225 1.06329986.4 0.0000 28.623176311 0.0000 0.2014083 0.0177741636 -0.491692036.5 0.0000 -38.45701691 0.0000 -0.203894 -0.017993503 -0.22366136.6 0.0000 33.983790877 0.0000 0.1333147 0.011764939 0.818830146.7 0.0000 -17.60718807 0.0000 -0.019019 -0.00167844 -1.087697726.8 0.0000 -4.14676632 0.0000 -0.095657 -0.0084416994 0.952432536.9 0.0000 23.195416946 0.0000 0.1696783 0.0149740064 -0.48411842

7 0.0000 -32.87778525 0.0000 -0.178853 -0.0157836965 -0.131035647.1 0.0000 30.257072358 0.0000 0.1235439 0.010902679 0.664763167.2 0.0000 -16.96180924 0.0000 -0.027155 -0.0023964166 -0.930745077.3 0.0000 -1.653092105 0.0000 -0.073531 -0.0064890585 0.848892237.4 0.0000 18.630936695 0.0000 0.142261 0.0125544504 -0.468022057.5 0.0000 -27.99137773 0.0000 -0.156249 -0.013788839 -0.058843747.6 0.0000 26.81450297 0.0000 0.1135661 0.0100221433 0.535063387.7 0.0000 -16.11323528 0.0000 -0.032663 -0.0028825322 -0.793156897.8 0.0000 0.250097391 0.0000 -0.055376 -0.0048869366 0.753068817.9 0.0000 14.811278745 0.0000 0.1186641 0.010472038 -0.44588932

8 0.0000 -23.72906505 0.0000 -0.135955 -0.0119979179 -0.00350988.1 0.0000 23.658868996 0.0000 0.1036481 0.0091468803 0.426405778.2 0.0000 -15.13075364 0.0000 -0.036086 -0.0031845323 -0.673034028.3 0.0000 1.6700732538 0.0000 -0.040588 -0.0035818274 0.665088128.4 0.0000 11.631689087 0.0000 0.0984365 0.0086869628 -0.419712318.5 0.0000 -20.02593534 0.0000 -0.117828 -0.0103982942 0.038007178.6 0.0000 20.786078765 0.0000 0.0939883 0.0082944128 0.335846978.7 0.0000 -14.06913936 0.0000 -0.037872 -0.0033421394 -0.568578018.8 0.0000 2.697579073 0.0000 -0.028638 -0.0025272629 0.584875548.9 0.0000 8.9999317952 0.0000 0.0811678 0.0071630102 -0.39107008

9 0.0000 -16.82133339 0.0000 -0.101716 -0.0089763833 0.068282219.1 0.0000 18.186977584 0.0000 0.08473 0.0074773733 0.260792929.2 0.0000 -12.97111915 0.0000 -0.038394 -0.0033882122 -0.478104639.3 0.0000 3.4090265246 0.0000 -0.019071 -0.001683047 0.51220794

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9.4 0.0000 6.8351322075 0.0000 0.066487 0.0058674353 -0.361198299.5 0.0000 -14.05909804 0.0000 -0.087459 -0.0077181844 0.08948599.6 0.0000 15.848816017 0.0000 0.0759717 0.0067044597 0.198966989.7 0.0000 -11.86947637 0.0000 -0.037958 -0.0033497613 -0.40005149.8 0.0000 3.8684483178 0.0000 -0.011496 -0.0010145459 0.446755719.9 0.0000 5.066665913 0.0000 0.0540604 0.0047707967 -0.3310488610 0.0000 -11.68764313 0.0000 -0.074898 -0.0066096868 0.10343919

10.1 0.0000 13.756426937 0.0000 0.0677765 0.0059812362 0.1483792710.2 0.0000 -10.78884154 0.0000 -0.036814 -0.0032488357 -0.3329807110.3 0.0000 4.1292273687 0.0000 -0.005576 -0.0004920378 0.3881166710.4 0.0000 3.6331059632 0.0000 0.0435897 0.0038467613 -0.3013406810.5 0.0000 -9.659919634 0.0000 -0.063878 -0.0056371742 0.1116619710.6 0.0000 11.89315911 0.0000 0.0601794 0.0053108 0.1072975110.7 0.0000 -9.747208928 0.0000 -0.035165 -0.003103294 -0.2755793910.8 0.0000 4.2356211512 0.0000 -0.001021 -9.011968E-05 0.3358428810.9 0.0000 2.4812363607 0.0000 0.0348092 0.0030718909 -0.27260266

11 0.0000 -7.933289652 0.0000 -0.054249 -0.0047874456 0.1154159311.1 0.0000 10.24160835 0.0000 0.0531939 0.004694334 0.0742196611.2 0.0000 -8.757215214 0.0000 -0.033173 -0.0029274717 -0.2266557711.3 0.0000 4.2240998261 0.0000 0.0024117 0.0002128305 0.2894618111.4 0.0000 1.5651364278 0.0000 0.0274837 0.0024254198 -0.2452100311.5 0.0000 -6.46933698 0.0000 -0.04587 -0.0040479708 0.1157422211.6 0.0000 8.7841813122 0.0000 0.0468169 0.0041315621 0.0478484411.7 0.0000 -7.827212512 0.0000 -0.030966 -0.002732757 -0.1851348211.8 0.0000 4.1245160897 0.0000 0.0049308 0.0004351371 0.248492711.9 0.0000 0.8453379734 0.0000 0.0214056 0.0018890312 -0.21941482

12 0.0000 -5.233634388 0.0000 -0.038606 -0.0034069913 0.1134943712.1 0.0000 7.5035218117 0.0000 0.0410328 0.0036211212 0.0270678812.2 0.0000 -6.962164245 0.0000 -0.028647 -0.002528086 -0.1500520212.3 0.0000 3.9611238016 0.0000 0.0067112 0.0005922602 0.2124589512.4 0.0000 0.288055131 0.0000 0.0163926 0.0014466368 -0.1953714112.5 0.0000 -4.195483424 0.0000 -0.032335 -0.0028535799 0.1093670812.6 0.0000 6.3828250023 0.0000 0.0358174 0.0031608639 0.010921812.7 0.0000 -6.164389057 0.0000 -0.026293 -0.0023203653 -0.1205463812.8 0.0000 3.7534614246 0.0000 0.0079001 0.0006971821 0.1808973312.9 0.0000 -0.135514796 0.0000 0.0122852 0.0010841636 -0.1731577

13 0.0000 -3.327639244 0.0000 -0.026943 -0.0023776676 0.1039210813.1 0.0000 5.4060608011 0.0000 0.0311402 0.002748101 -0.0014057113.2 0.0000 -5.434174906 0.0000 -0.023964 -0.0021148335 -0.0958529913.3 0.0000 3.5171151963 0.0000 0.0086205 0.0007607496 0.1533646513.4 0.0000 -0.449822253 0.0000 0.0089445 0.0007893509 -0.1527926213.5 0.0000 -2.606030178 0.0000 -0.022324 -0.0019700443 0.0976047213.6 0.0000 4.5581245376 0.0000 0.0269667 0.0023797962 -0.0106079113.7 0.0000 -4.770282701 0.0000 -0.021704 -0.0019153665 -0.0752953513.8 0.0000 3.2643757939 0.0000 0.0089743 0.0007919765 0.1294422113.9 0.0000 -0.675531665 0.0000 0.00625 0.0005515593 -0.13425055

14 0.0000 -2.009479368 0.0000 -0.018384 -0.0016223421 0.0907725214.1 0.0000 3.8249298529 0.0000 0.0232604 0.0020527178 -0.01727133

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14.2 0.0000 -4.170356374 0.0000 -0.019544 -0.0017247367 -0.0582777614.3 0.0000 3.0048010932 0.0000 0.0090461 0.0007983103 0.108738714.4 0.0000 -0.830027026 0.0000 0.0040974 0.000361593 -0.1174730514.5 0.0000 -1.519433964 0.0000 -0.015037 -0.0013270035 0.0837011214.6 0.0000 3.1934563481 0.0000 0.0199838 0.0017635582 -0.0218898914.7 0.0000 -3.631254051 0.0000 -0.017505 -0.00154483 -0.0442778814.8 0.0000 2.7456964816 0.0000 0.008905 0.0007858643 0.0908917614.9 0.0000 -0.927861192 0.0000 0.002397 0.000211535 -0.10237835

15 0.0000 -1.11970581 0.0000 -0.012207 -0.0010772412 0.0766028315.1 0.0000 2.6517623173 0.0000 0.0170995 0.0015090234 -0.0248775315.2 0.0000 -3.149312991 0.0000 -0.015602 -0.0013768281 -0.032839515.3 0.0000 2.4925230811 0.0000 0.0086077 0.0007596215 0.0755684915.4 0.0000 -0.981153324 0.0000 0.0010719 9.459682E-05 -0.0888689815.5 0.0000 -0.796226317 0.0000 -0.009824 -0.0008669904 0.0696372415.6 0.0000 2.188971057 0.0000 0.0145712 0.001285901 -0.0265794115.7 0.0000 -2.720559227 0.0000 -0.01384 -0.0012213595 -0.023565815.8 0.0000 2.249243192 0.0000 0.0081996 0.000723611 0.0624652115.9 0.0000 -0.999938957 0.0000 5.644E-05 4.981072E-06 -0.07683781

16 0.0000 -0.536817242 0.0000 -0.007828 -0.0006908583 0.0629210216.1 0.0000 1.7952376804 0.0000 0.0123639 0.0010911088 -0.0272816816.2 0.0000 -2.340871275 0.0000 -0.012222 -0.0010786252 -0.01611316.3 0.0000 2.0186112798 0.0000 0.0077175 0.0006810604 0.0513067116.4 0.0000 -0.992477041 0.0000 -0.000705 -6.224236E-05 -0.0661727716.5 0.0000 -0.330978306 0.0000 -0.006165 -0.0005440714 0.0565361916.6 0.0000 1.4617020464 0.0000 0.0104446 0.0009217283 -0.0272201916.7 0.0000 -2.006105916 0.0000 -0.010748 -0.0009485014 -0.010184416.8 0.0000 1.802417913 0.0000 0.0071902 0.000634528 0.0418449916.9 0.0000 -0.965518147 0.0000 -0.001261 -0.000111248 -0.05676051

17 0.0000 -0.169692014 0.0000 -0.004787 -0.0004224226 0.0505370117.1 0.0000 1.1804323021 0.0000 0.0087822 0.0007750267 -0.0265880317.2 0.0000 -1.712192864 0.0000 -0.009412 -0.0008306239 -0.0055249817.3 0.0000 1.60169321 0.0000 0.0066404 0.0005860155 0.0338577717.4 0.0000 -0.924537817 0.0000 -0.001649 -0.0001455544 -0.0484891717.5 0.0000 -0.045245539 0.0000 -0.003651 -0.0003222201 0.0449558517.6 0.0000 0.9443626123 0.0000 0.0073481 0.0006484688 -0.0255420717.7 0.0000 -1.455204102 0.0000 -0.008209 -0.0007244562 -0.0019164317.8 0.0000 1.4168755832 0.0000 0.0060858 0.0005370645 0.0271468417.9 0.0000 -0.873938779 0.0000 -0.001905 -0.0001681135 -0.0412504

18 0.0000 0.0489307544 0.0000 -0.002722 -0.000240237 0.0398079318.1 0.0000 0.7472278752 0.0000 0.0061159 0.0005397224 -0.0242087418.2 0.0000 -1.231402738 0.0000 -0.007131 -0.0006293445 0.0008274118.3 0.0000 1.2479508559 0.0000 0.0055393 0.0004888392 0.0215362718.4 0.0000 -0.817225493 0.0000 -0.002055 -0.0001813889 -0.0349408318.5 0.0000 0.1184088738 0.0000 -0.001968 -0.0001736643 0.0350953218.6 0.0000 0.5834975871 0.0000 0.0050613 0.0004466571 -0.0226888918.7 0.0000 -1.037275487 0.0000 -0.006171 -0.0005445609 0.0028645418.8 0.0000 1.0945661987 0.0000 0.0050108 0.0004421959 0.016870618.9 0.0000 -0.75715422 0.0000 -0.002124 -0.0001874255 -0.02946303

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19 0.0000 0.1678936891 0.0000 -0.001361 -0.0001200664 0.0308102119.1 0.0000 0.4483104943 0.0000 0.0041625 0.0003673399 -0.0210620819.2 0.0000 -0.869552181 0.0000 -0.005318 -0.0004693379 0.0043285319.3 0.0000 0.9561227507 0.0000 0.004507 0.0003977416 0.0130130619.4 0.0000 -0.695861519 0.0000 -0.002129 -0.0001879108 -0.0247261119.5 0.0000 0.2013393357 0.0000 -0.000876 -7.733982E-05 0.0269375319.6 0.0000 0.3374112404 0.0000 0.0033998 0.0003000269 -0.019390219.7 0.0000 -0.725215142 0.0000 -0.004565 -0.000402895 0.0053317619.8 0.0000 0.8318502854 0.0000 0.0040327 0.000355884 0.0098438219.9 0.0000 -0.634973831 0.0000 -0.002088 -0.0001842281 -0.02064606

20 0.0000 0.2220525573 0.0000 -0.000495 -4.367519E-05 0.02345712

Masa M 1.8466Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.4297

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 2.4 MAX Uivelocidad inicial Ůo 2.5 MAX U´iaceleracion inicial ϋ o 2.6 MAX U´´i

periodo de la estru T 2.7

CALCULOS INICIALES WnÜo 10.140219526 TnΔt 10.148228116 estabilidad^K 10.16 10.2 NO ESTABLEa 1.59 2.38b 3.69 5.5612

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.140219526 5.0000 5.3842514 0.4751569573 4.503139150.1 5.0000 79.92256338 3.6603 4.9976297 0.4410378223 -5.185521840.2 8.6603 -183.6330003 1.3397 0.65147 0.0574918376 -2.485397850.3 10.0000 133.9250433 -1.3397 -0.75019 -0.0662038353 0.011484390.4 8.6603 -133.6953555 -3.6603 -4.42495 -0.3904991746 -6.497391180.5 5.0000 3.747531916 -5.0000 -5.933544 -0.5236316829 3.834741010.6 0.0000 72.947288331 0.0000 -0.07237 -0.0063865767 6.510161110.7 0.0000 57.255933916 0.0000 0.7149791 0.0630964798 -5.120499980.8 0.0000 -159.6659336 0.0000 -1.065766 -0.0940531739 1.977506910.9 0.0000 199.21607176 0.0000 1.0156612 0.0896314953 1.69618647

1 0.0000 -165.2923423 0.0000 -0.605109 -0.0534005108 -4.55682661.1 0.0000 74.155810337 0.0000 0.0011981 0.0001057319 5.626951451.2 0.0000 38.383218703 0.0000 0.5692128 0.0502326925 -4.624412241.3 0.0000 -130.8714635 0.0000 -0.903992 -0.0797767456 2.024223481.4 0.0000 171.35593307 0.0000 0.8966397 0.0791279165 1.153869761.5 0.0000 -148.2785378 0.0000 -0.569007 -0.0502145422 -3.74071894

CASOS

ESPECIA

LES

D5776
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D5778
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C5779
estos son datos iniciales?
C5781
esta es igual a la aceleracion del sismo?
G5786
REVIZAR….
B5787
caso de aceleracion promedio
C5787
caso de aceleracion promedio
B5788
este es para el caso de aceleracion promedio
C5788
este es para el caso de aceleracion promedio
B5789
para el caso de aceleracion promedio
C5789
para el caso de aceleracion promedio
A5792
el tiempo lo vamos a variar
B5792
ESTE ES EL DATO QUE VA A VARIAR
D5792
este dato no es igual al de la segunda columna?
C5793
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 153: Hojas de Calculo Fransua

1.6 0.0000 73.464159009 0.0000 0.0562696 0.0049657582 4.844324951.7 0.0000 23.422339919 0.0000 0.4477872 0.0395169494 -4.153301121.8 0.0000 -106.4883624 0.0000 -0.763369 -0.0673668746 2.015624641.9 0.0000 146.8008553 0.0000 0.7881938 0.0695576272 0.72286539

2 0.0000 -132.3435475 0.0000 -0.529717 -0.0467472257 -3.048962452.1 0.0000 71.364298441 0.0000 0.0963028 0.0084986667 4.15388032.2 0.0000 11.713307532 0.0000 0.3472056 0.0306406826 -3.711039982.3 0.0000 -85.93410712 0.0000 -0.641615 -0.056622144 1.965783452.4 0.0000 125.24977603 0.0000 0.6900033 0.0608923804 0.384507042.5 0.0000 -117.5596352 0.0000 -0.488886 -0.0431438583 -2.465231822.6 0.0000 68.254998818 0.0000 0.1242114 0.010961581 3.54734062.7 0.0000 2.6918132651 0.0000 0.2644005 0.0233331876 -3.299908472.8 0.0000 -68.68998271 0.0000 -0.536614 -0.0473558517 1.886127692.9 0.0000 106.41253643 0.0000 0.6016079 0.0530915332 0.12282001

3 0.0000 -103.9561362 0.0000 -0.447779 -0.0395161872 -1.974974423.1 0.0000 64.456647871 0.0000 0.1424385 0.0125701091 3.016700343.2 0.0000 -4.122641028 0.0000 0.1966919 0.0173579451 -2.920943623.3 0.0000 -54.29623142 0.0000 -0.44642 -0.0393963358 1.7858583.4 0.0000 90.013391521 0.0000 0.5224515 0.0461060342 -0.07581063.5 0.0000 -91.52960361 0.0000 -0.40735 -0.0359484265 -1.565278613.6 0.0000 60.224031418 0.0000 0.1530223 0.0135041239 2.554329623.7 0.0000 -9.137439062 0.0000 0.1417475 0.0125091315 -2.574229463.8 0.0000 -42.34715022 0.0000 -0.369259 -0.0325868952 1.672308933.9 0.0000 75.793328791 0.0000 0.4519191 0.0398815909 -0.22293921

4 0.0000 -80.2521129 0.0000 -0.368301 -0.0325023574 -1.224739764.1 0.0000 55.7573177 0.0000 0.1576539 0.0139128619 2.153044154.2 0.0000 -12.6964348 0.0000 0.0975456 0.0086083443 -2.25913454.3 0.0000 -32.48625515 0.0000 -0.303519 -0.0267854075 1.551259464.4 0.0000 63.51144439 0.0000 0.3893642 0.0343611544 -0.328328224.5 0.0000 -70.07800888 0.0000 -0.331126 -0.0292216291 -0.943327454.6 0.0000 51.211459957 0.0000 0.157728 0.0139194018 1.806148064.7 0.0000 -15.08849868 0.0000 0.062341 0.0055015583 -1.974504934.8 0.0000 -24.40159999 0.0000 -0.247749 -0.0218637286 1.427199194.9 0.0000 52.945583874 0.0000 0.3341308 0.02948684 -0.40018782

5 0.0000 -60.94934031 0.0000 -0.296154 -0.026135372 -0.712256425.1 0.0000 46.704211917 0.0000 0.1543872 0.0136245815 1.507455495.2 0.0000 -16.55510211 0.0000 0.0346328 0.0030563226 -1.718820675.3 0.0000 -17.82131127 0.0000 -0.200647 -0.0177069431 1.303555355.4 0.0000 43.892418364 0.0000 0.28557 0.0252013834 -0.445388825.5 0.0000 -52.80019486 0.0000 -0.263585 -0.0232612154 -0.523863155.6 0.0000 42.322931853 0.0000 0.1485609 0.0131104109 1.251295685.7 0.0000 -17.29701834 0.0000 0.0131354 0.0011591953 -1.490319995.8 0.0000 -12.5093814 0.0000 -0.161049 -0.0142125169 1.182885745.9 0.0000 36.167096227 0.0000 0.2430523 0.0214492178 -0.46965105

6 0.0000 -45.56011714 0.0000 -0.233518 -0.0206077952 -0.371489216.1 0.0000 38.130332845 0.0000 0.1409985 0.0124430329 1.032505786.2 0.0000 -17.48021731 0.0000 -0.003247 -0.0002865858 -1.287098156.3 0.0000 -8.261745725 0.0000 -0.127926 -0.0112893968 1.06704193

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6.4 0.0000 29.602584344 0.0000 0.2059758 0.0181772447 -0.47770916.5 0.0000 -39.15676637 0.0000 -0.205971 -0.0181768263 -0.249372326.6 0.0000 34.16932002 0.0000 0.1322987 0.0116752832 0.846414516.7 0.0000 -17.24102986 0.0000 -0.015447 -0.0013632078 -1.107184336.8 0.0000 -4.902656721 0.0000 -0.100364 -0.0088570884 0.957306726.9 0.0000 24.048791093 0.0000 0.1737729 0.0153353567 -0.47345782

7 0.0000 -33.51794743 0.0000 -0.180906 -0.0159648031 -0.152545387.1 0.0000 30.467039829 0.0000 0.1229345 0.0108488933 0.688819317.2 0.0000 -16.69065366 0.0000 -0.024251 -0.0021401723 -0.948600627.3 0.0000 -2.281358744 0.0000 -0.077561 -0.0068447383 0.85450937.4 0.0000 19.371544729 0.0000 0.1459134 0.0128767665 -0.46007927.5 0.0000 -28.5731288 0.0000 -0.158238 -0.0139643857 -0.076743847.6 0.0000 27.038252002 0.0000 0.1132742 0.00999638 0.555959157.7 0.0000 -15.91906891 0.0000 -0.030323 -0.0026759834 -0.809406427.8 0.0000 -0.269059532 0.0000 -0.058813 -0.0051902396 0.75912137.9 0.0000 15.451485463 0.0000 0.1219065 0.0107581798 -0.44015291

8 0.0000 -24.25454363 0.0000 -0.137854 -0.0121655206 -0.01832118.1 0.0000 23.888121636 0.0000 0.1036002 0.0091426587 0.444484698.2 0.0000 -14.9984279 0.0000 -0.034217 -0.0030196495 -0.687730858.3 0.0000 1.2438108761 0.0000 -0.043506 -0.0038393729 0.671336388.4 0.0000 12.182916774 0.0000 0.1013021 0.0089398512 -0.41575198.5 0.0000 -20.49795478 0.0000 -0.119619 -0.0105563386 0.02582818.6 0.0000 21.014516876 0.0000 0.0941243 0.0083064154 0.351426978.7 0.0000 -13.98597738 0.0000 -0.036397 -0.003212012 -0.581795528.8 0.0000 2.3500669233 0.0000 -0.031105 -0.0027449936 0.591135898.9 0.0000 9.4726509065 0.0000 0.0836895 0.0073855487 -0.38852505

9 0.0000 -17.24315182 0.0000 -0.103387 -0.009123866 0.058336759.1 0.0000 18.409886845 0.0000 0.0850008 0.0075012682 0.274165939.2 0.0000 -12.9265682 0.0000 -0.037246 -0.0032869163 -0.489929629.3 0.0000 3.1279757778 0.0000 -0.021148 -0.0018662707 0.518342539.4 0.0000 7.23887489 0.0000 0.0686968 0.0060624519 -0.359768089.5 0.0000 -14.43423651 0.0000 -0.089004 -0.0078545815 0.081427419.6 0.0000 16.062784768 0.0000 0.0763376 0.0067367466 0.210399159.7 0.0000 -11.85480177 0.0000 -0.037079 -0.0032722393 -0.410578879.8 0.0000 3.6432243955 0.0000 -0.013235 -0.0011679809 0.452664049.9 0.0000 5.410056333 0.0000 0.0559891 0.0049410022 -0.3304843710 0.0000 -12.01974381 0.0000 -0.076316 -0.0067348446 0.09696744

10.1 0.0000 13.959092584 0.0000 0.0682057 0.006019113 0.1581117110.2 0.0000 -10.79685831 0.0000 -0.036156 -0.0031907881 -0.3423097410.3 0.0000 3.9506636004 0.0000 -0.007024 -0.0006198594 0.3937283110.4 0.0000 3.923902571 0.0000 0.0452663 0.00399472 -0.3014367210.5 0.0000 -9.952636986 0.0000 -0.06517 -0.0057512195 0.1065179310.6 0.0000 12.082995613 0.0000 0.0606468 0.0053520476 0.1155474110.7 0.0000 -9.772047384 0.0000 -0.034687 -0.0030610812 -0.2838099910.8 0.0000 4.0958476109 0.0000 -0.002221 -0.0001960062 0.3411114910.9 0.0000 2.7263821858 0.0000 0.0362609 0.0032000022 -0.27319132

11 0.0000 -8.190208622 0.0000 -0.055419 -0.0048907128 0.1113770211.1 0.0000 10.417749049 0.0000 0.0536799 0.004737218 0.08118159

Page 155: Hojas de Calculo Fransua

11.2 0.0000 -8.794117151 0.0000 -0.032839 -0.002898027 -0.233886511.3 0.0000 4.1163872213 0.0000 0.0014238 0.0001256519 0.2943600811.4 0.0000 1.7708143041 0.0000 0.0287357 0.0025359083 -0.2461549511.5 0.0000 -6.693913283 0.0000 -0.046923 -0.0041409422 0.1126179411.6 0.0000 8.9462720407 0.0000 0.0473063 0.0041747483 0.0536958711.7 0.0000 -7.872354599 0.0000 -0.030748 -0.0027135089 -0.1914610211.8 0.0000 4.0431342831 0.0000 0.0041229 0.0003638467 0.2530081311.9 0.0000 1.017028268 0.0000 0.0224811 0.0019839424 -0.22060621

12 0.0000 -5.429152539 0.0000 -0.03955 -0.00349025 0.1111223712.1 0.0000 7.6515998528 0.0000 0.0415142 0.0036636038 0.0319547112.2 0.0000 -7.012505632 0.0000 -0.02852 -0.0025168889 -0.1555645612.3 0.0000 3.90121434 0.0000 0.0060556 0.000534404 0.2165904212.4 0.0000 0.430594105 0.0000 0.0173127 0.0015278379 -0.1967217412.5 0.0000 -4.365028994 0.0000 -0.033176 -0.0029277718 0.1076095512.6 0.0000 6.5172200052 0.0000 0.0362825 0.0032019047 0.0149839812.7 0.0000 -6.2175404 0.0000 -0.026237 -0.002315439 -0.1253308512.8 0.0000 3.7109233016 0.0000 0.0073727 0.000650633 0.1846522912.9 0.0000 -0.01787741 0.0000 0.0130692 0.0011533483 -0.17459799

13 0.0000 -3.474082372 0.0000 -0.027688 -0.0024434714 0.102661613.1 0.0000 5.5273142799 0.0000 0.031583 0.0027871785 0.001951413.2 0.0000 -5.48828624 0.0000 -0.023963 -0.0021147096 -0.0999891613.3 0.0000 3.488502987 0.0000 0.0082003 0.000723671 0.1567567713.4 0.0000 -0.353367499 0.0000 0.0096097 0.0008480463 -0.1542692713.5 0.0000 -2.732017857 0.0000 -0.022982 -0.0020281491 0.0967453613.6 0.0000 4.6669250185 0.0000 0.0273833 0.0024165617 -0.0078511413.7 0.0000 -4.823947857 0.0000 -0.021743 -0.001918842 -0.0788569313.8 0.0000 3.2468092481 0.0000 0.0086436 0.0007627892 0.1324895513.9 0.0000 -0.597018182 0.0000 0.0068118 0.0006011352 -0.13572263

14 0.0000 -2.117434471 0.0000 -0.018963 -0.0016734297 0.0902313314.1 0.0000 3.9220611388 0.0000 0.0236484 0.0020869602 -0.0150235314.2 0.0000 -4.222531833 0.0000 -0.019613 -0.001730833 -0.0613323314.3 0.0000 2.9958852572 0.0000 0.0087894 0.0007756614 0.1114622214.4 0.0000 -0.766640935 0.0000 0.0045697 0.0004032715 -0.1189100114.5 0.0000 -1.611559345 0.0000 -0.015544 -0.0013717358 0.0834098714.6 0.0000 3.2797567205 0.0000 0.020342 0.0017951736 -0.0200716814.7 0.0000 -3.681190363 0.0000 -0.017595 -0.0015527579 -0.0468869514.8 0.0000 2.7434514254 0.0000 0.0087094 0.0007685999 0.093314114.9 0.0000 -0.877169355 0.0000 0.0027921 0.0002464015 -0.10375807

15 0.0000 -1.197992113 0.0000 -0.012649 -0.0011162505 0.0765050315.1 0.0000 2.7280928084 0.0000 0.0174278 0.0015379906 -0.0234202115.2 0.0000 -3.196497084 0.0000 -0.015705 -0.001385957 -0.0350587415.3 0.0000 2.4953223323 0.0000 0.0084619 0.0007467616 0.0777131115.4 0.0000 -0.941060148 0.0000 0.0014007 0.0001236107 -0.0901761315.5 0.0000 -0.862462388 0.0000 -0.010208 -0.0009008736 0.0696864415.6 0.0000 2.2561911977 0.0000 0.0148699 0.0013122612 -0.0254237515.7 0.0000 -2.764666105 0.0000 -0.013951 -0.0012311913 -0.025445315.8 0.0000 2.2557600159 0.0000 0.0080944 0.0007143266 0.0643556615.9 0.0000 -0.968646769 0.0000 0.0003285 2.8987069E-05 -0.07806245

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16 0.0000 -0.592602276 0.0000 -0.008161 -0.0007201728 0.0630792516.1 0.0000 1.8541873693 0.0000 0.0126341 0.0011149488 -0.0263768216.2 0.0000 -2.381723799 0.0000 -0.012337 -0.0010887717 -0.0176975916.3 0.0000 2.027771993 0.0000 0.0076449 0.0006746537 0.052966116.4 0.0000 -0.968449997 0.0000 -0.000482 -4.250385E-05 -0.0673092516.5 0.0000 -0.37773503 0.0000 -0.006451 -0.000569333 0.0567726716.6 0.0000 1.5131883938 0.0000 0.0106875 0.0009431677 -0.0265226616.7 0.0000 -2.043641494 0.0000 -0.010863 -0.0009586652 -0.01151416.8 0.0000 1.8133614694 0.0000 0.0071436 0.0006304145 0.043295616.9 0.0000 -0.947449569 0.0000 -0.001078 -9.513053E-05 -0.0578065

17 0.0000 -0.208680354 0.0000 -0.005032 -0.000444105 0.0508270117.1 0.0000 1.2252204832 0.0000 0.0089996 0.0007942064 -0.0260607817.2 0.0000 -1.746436042 0.0000 -0.009525 -0.0008405817 -0.0066349817.3 0.0000 1.6137363551 0.0000 0.0066143 0.000583708 0.0351207817.4 0.0000 -0.911320789 0.0000 -0.001501 -0.000132496 -0.0494448617.5 0.0000 -0.07757637 0.0000 -0.003861 -0.000340755 0.0452796817.6 0.0000 0.9831699195 0.0000 0.0075416 0.0006655433 -0.0251537117.7 0.0000 -1.486244154 0.0000 -0.008318 -0.0007340454 -0.0028380617.8 0.0000 1.4294829284 0.0000 0.0060755 0.0005361593 0.0282421517.9 0.0000 -0.86463983 0.0000 -0.001786 -0.0001576273 -0.04211789

18 0.0000 0.0222821111 0.0000 -0.002901 -0.0002560155 0.0401501218.1 0.0000 0.780720295 0.0000 0.0062873 0.0005548525 -0.0239327618.2 0.0000 -1.259375497 0.0000 -0.007235 -0.0006384511 6.66893E-0518.3 0.0000 1.2607092826 0.0000 0.0055412 0.0004890037 0.0224824118.4 0.0000 -0.811061151 0.0000 -0.001961 -0.0001730548 -0.0357235818.5 0.0000 0.096589617 0.0000 -0.002119 -0.0001870387 0.035443918.6 0.0000 0.6122883408 0.0000 0.0052126 0.0004600052 -0.0225030218.7 0.0000 -1.06234873 0.0000 -0.006268 -0.00055311 0.0022407218.8 0.0000 1.1071630556 0.0000 0.0050217 0.0004431579 0.0176846418.9 0.0000 -0.753470221 0.0000 -0.00205 -0.0001808827 -0.03016545

19 0.0000 0.1501611394 0.0000 -0.001488 -0.0001313523 0.0311560619.1 0.0000 0.4729600818 0.0000 0.0042954 0.0003790659 -0.020947719.2 0.0000 -0.891913994 0.0000 -0.005408 -0.0004772854 0.0038206719.3 0.0000 0.9683273621 0.0000 0.0045245 0.0003992803 0.0137106519.4 0.0000 -0.694114457 0.0000 -0.002072 -0.0001828504 -0.0253532619.5 0.0000 0.1870492795 0.0000 -0.000984 -8.681864E-05 0.0272738919.6 0.0000 0.3584286078 0.0000 0.003516 0.0003102857 -0.0193318119.7 0.0000 -0.745064772 0.0000 -0.004648 -0.0004102208 0.0049216819.8 0.0000 0.8434983366 0.0000 0.0040547 0.0003578214 0.0104391719.9 0.0000 -0.634715022 0.0000 -0.002044 -0.0001803869 -0.02120333

20 0.0000 0.2106483967 0.0000 -0.000585 -5.159648E-05 0.02377914

Masa M 1.9859Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.4456

Acel sismo As 0Carga Po 0

CASOS

ESPECIA

LES

D5998
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D6000
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
Page 157: Hojas de Calculo Fransua

desplazamiento iniciak Uo 2.5 MAX Uivelocidad inicial Ůo 2.6 MAX U´iaceleracion inicial ϋ o 2.7 MAX U´´i

periodo de la estru T 2.8

CALCULOS INICIALES WnÜo 10.148228116 TnΔt 10.156409516 estabilidad^K 10.16 10.2 NO ESTABLEa 1.67 2.51b 3.97 5.9800

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.148228116 5.0000 5.3976072 0.4763355977 4.326711950.1 5.0000 76.386010947 3.6603 4.9695368 0.4385586468 -5.082250970.2 8.6603 -178.0310303 1.3397 0.6834242 0.0603117771 -2.482686420.3 10.0000 128.37730186 -1.3397 -0.77436 -0.0683368109 -0.090285340.4 8.6603 -130.1830086 -3.6603 -4.416772 -0.3897774513 -6.338527470.5 5.0000 3.4124591633 -5.0000 -5.923704 -0.5227633075 3.678810350.6 0.0000 70.163747805 0.0000 -0.095696 -0.0084451328 6.607553140.7 0.0000 61.987315072 0.0000 0.7426916 0.0655420847 -5.127808790.8 0.0000 -164.5434909 0.0000 -1.087706 -0.0959893843 1.897179410.9 0.0000 202.48707923 0.0000 1.0243064 0.090394422 1.83049671

1 0.0000 -165.877145 0.0000 -0.598114 -0.0527832011 -4.694049181.1 0.0000 71.996161464 0.0000 -0.018057 -0.0015934829 5.717843541.2 0.0000 42.36070933 0.0000 0.5931517 0.0523452862 -4.639068161.3 0.0000 -135.1420725 0.0000 -0.92379 -0.0815239008 1.961684421.4 0.0000 174.37576086 0.0000 0.9054484 0.0799052742 1.266899081.5 0.0000 -149.0377792 0.0000 -0.564293 -0.049798556 -3.860975691.6 0.0000 71.818265506 0.0000 0.0404791 0.0035722541 4.928391891.7 0.0000 26.749572244 0.0000 0.4683845 0.0413346507 -4.173143951.8 0.0000 -110.2124513 0.0000 -0.781136 -0.0689348197 1.967754551.9 0.0000 149.56754222 0.0000 0.7969352 0.0703290543 0.81752294

2 0.0000 -133.2170835 0.0000 -0.526813 -0.0464909746 -3.153923512.1 0.0000 70.138613241 0.0000 0.0834467 0.0073641248 4.23102552.2 0.0000 14.481896756 0.0000 0.3648568 0.03219839 -3.734340192.3 0.0000 -89.16870064 0.0000 -0.657479 -0.0580221112 1.929930172.4 0.0000 127.76730403 0.0000 0.6985062 0.0616427552 0.463367162.5 0.0000 -118.4999609 0.0000 -0.4874 -0.0430127557 -2.556477382.6 0.0000 67.370413358 0.0000 0.1138298 0.0100454138 3.617640772.7 0.0000 4.9824019498 0.0000 0.2794652 0.0246626358 -3.325296332.8 0.0000 -71.48832847 0.0000 -0.55071 -0.04859987 1.860046212.9 0.0000 108.68925269 0.0000 0.609749 0.0538099838 0.18815086

3 0.0000 -104.9262354 0.0000 -0.447387 -0.0394816353 -2.053983253.1 0.0000 63.846570453 0.0000 0.1341337 0.0118372172 3.08036033.2 0.0000 -2.239364521 0.0000 0.2094951 0.0184878162 -2.947348323.3 0.0000 -56.70760181 0.0000 -0.45889 -0.0404967721 1.76765655

C6001
estos son datos iniciales?
C6003
esta es igual a la aceleracion del sismo?
G6008
REVIZAR….
B6009
caso de aceleracion promedio
C6009
caso de aceleracion promedio
B6010
este es para el caso de aceleracion promedio
C6010
este es para el caso de aceleracion promedio
B6011
para el caso de aceleracion promedio
C6011
para el caso de aceleracion promedio
A6014
el tiempo lo vamos a variar
B6014
ESTE ES EL DATO QUE VA A VARIAR
D6014
este dato no es igual al de la segunda columna?
C6015
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 158: Hojas de Calculo Fransua

3.4 0.0000 92.060732788 0.0000 0.5301464 0.0467851059 -0.022018993.5 0.0000 -92.50111256 0.0000 -0.407787 -0.0359869287 -1.63342173.6 0.0000 59.832678515 0.0000 0.1464517 0.0129242738 2.611645753.7 0.0000 -7.599763486 0.0000 0.1525813 0.0134652041 -2.600827153.8 0.0000 -44.41677944 0.0000 -0.380242 -0.0335561033 1.6604013.9 0.0000 77.624799414 0.0000 0.4591141 0.0405165483 -0.17894797

4 0.0000 -81.20375874 0.0000 -0.369348 -0.032594743 -1.283277864.1 0.0000 55.538201533 0.0000 0.1525236 0.0134601154 2.204375034.2 0.0000 -11.45070096 0.0000 0.1066712 0.0094136667 -2.2853044.3 0.0000 -34.25537909 0.0000 -0.313152 -0.027635465 1.544321374.4 0.0000 65.141806433 0.0000 0.3960299 0.034949401 -0.292624054.5 0.0000 -70.99428736 0.0000 -0.332607 -0.0293523806 -0.993411594.6 0.0000 51.126055632 0.0000 0.1537868 0.0135715961 1.851891124.7 0.0000 -14.08823323 0.0000 0.0699907 0.0061766386 -1.999790274.8 0.0000 -25.90757217 0.0000 -0.256163 -0.0226062466 1.424132574.9 0.0000 54.390223483 0.0000 0.3402566 0.030027437 -0.37145889

5 0.0000 -61.81940133 0.0000 -0.297929 -0.0262920416 -0.754930685.1 0.0000 46.720787739 0.0000 0.1514215 0.0133628585 1.548028685.2 0.0000 -15.76021412 0.0000 0.0410124 0.0036193241 -1.742899375.3 0.0000 -19.09777326 0.0000 -0.207967 -0.018352933 1.303454235.4 0.0000 45.166857779 0.0000 0.2911595 0.0256946537 -0.422502495.5 0.0000 -53.61690761 0.0000 -0.265542 -0.0234339223 -0.560069035.6 0.0000 42.415527035 0.0000 0.1463896 0.0129187935 1.287123355.7 0.0000 -16.67306012 0.0000 0.0184266 0.0016261346 -1.512976525.8 0.0000 -13.58647038 0.0000 -0.167393 -0.0147723041 1.185007755.9 0.0000 37.286625384 0.0000 0.2481198 0.0218964223 -0.45163322

6 0.0000 -46.31928982 0.0000 -0.235569 -0.0207887943 -0.402071116.1 0.0000 38.277867623 0.0000 0.1394689 0.012308046 1.064007926.2 0.0000 -16.99770931 0.0000 0.0011145 9.8355007E-05 -1.308201746.3 0.0000 -9.166325396 0.0000 -0.133401 -0.0117725703 1.070783236.4 0.0000 30.581989968 0.0000 0.2105433 0.0185803195 -0.463725436.5 0.0000 -39.85649859 0.0000 -0.208048 -0.0183601383 -0.275083736.6 0.0000 34.354824086 0.0000 0.1312827 0.0115856153 0.87399886.7 0.0000 -16.87484815 0.0000 -0.011875 -0.0010479671 -1.126670446.8 0.0000 -5.65856073 0.0000 -0.105071 -0.0092724795 0.96218026.9 0.0000 24.902164645 0.0000 0.1778675 0.0156967023 -0.46279656

7 0.0000 -34.15809582 0.0000 -0.182958 -0.0161459002 -0.174055497.1 0.0000 30.676985991 0.0000 0.1223249 0.010795097 0.712875437.2 0.0000 -16.41947729 0.0000 -0.021348 -0.0018839201 -0.966455787.3 0.0000 -2.90963824 0.0000 -0.081592 -0.0072004207 0.860125767.4 0.0000 20.112153539 0.0000 0.1495657 0.013199079 -0.452135777.5 0.0000 -29.15486897 0.0000 -0.160227 -0.0141399245 -0.09464437.6 0.0000 27.261983006 0.0000 0.1129822 0.0099706075 0.576854947.7 0.0000 -15.72488424 0.0000 -0.027982 -0.0024694273 -0.825655647.8 0.0000 -0.788228472 0.0000 -0.06225 -0.0054935454 0.765173277.9 0.0000 16.091693968 0.0000 0.1251489 0.011044319 -0.43441599

8 0.0000 -24.7800137 0.0000 -0.139753 -0.0123331168 -0.033132738.1 0.0000 24.117359093 0.0000 0.1035523 0.0091384291 0.46256365

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8.2 0.0000 -14.8660861 0.0000 -0.032349 -0.0028547602 -0.702427448.3 0.0000 0.8175373688 0.0000 -0.046424 -0.0040969212 0.677584228.4 0.0000 12.734146965 0.0000 0.1041677 0.0091927378 -0.411791048.5 0.0000 -20.96996769 0.0000 -0.12141 -0.0107143776 0.013648738.6 0.0000 21.242942262 0.0000 0.0942603 0.008318411 0.367007048.7 0.0000 -13.90280138 0.0000 -0.034922 -0.0030818788 -0.595012848.8 0.0000 2.0025445483 0.0000 -0.033572 -0.002962727 0.597395888.9 0.0000 9.9453730057 0.0000 0.0862112 0.007608086 -0.38597962

9 0.0000 -17.66496533 0.0000 -0.105058 -0.0092713444 0.048391019.1 0.0000 18.632785496 0.0000 0.0852715 0.0075251571 0.287539029.2 0.0000 -12.88200505 0.0000 -0.036098 -0.0031856151 -0.501754479.3 0.0000 2.8469157033 0.0000 -0.023224 -0.0020494971 0.524476839.4 0.0000 7.6426208587 0.0000 0.0709066 0.006257468 -0.358337539.5 0.0000 -14.80937139 0.0000 -0.09055 -0.0079909751 0.073368679.6 0.0000 16.276744721 0.0000 0.0767034 0.0067690285 0.221831419.7 0.0000 -11.84011661 0.0000 -0.036201 -0.0031947127 -0.421106239.8 0.0000 3.4179920186 0.0000 -0.014974 -0.0013214186 0.458572119.9 0.0000 5.7534501915 0.0000 0.0579178 0.0051112074 -0.3299195910 0.0000 -12.35184198 0.0000 -0.077734 -0.0068599995 0.09049545

10.1 0.0000 14.161750981 0.0000 0.0686349 0.0060569855 0.1678442510.2 0.0000 -10.80486596 0.0000 -0.035499 -0.0031327363 -0.3516386910.3 0.0000 3.7720922133 0.0000 -0.008472 -0.0007476835 0.3993397410.4 0.0000 4.2147026576 0.0000 0.0469429 0.0041426787 -0.301532510.5 0.0000 -10.24535267 0.0000 -0.066462 -0.0058652626 0.1013736810.6 0.0000 12.27282618 0.0000 0.0611142 0.0053932917 0.1237974110.7 0.0000 -9.796878002 0.0000 -0.034208 -0.0030188648 -0.2920405410.8 0.0000 3.9560672421 0.0000 -0.003421 -0.000301895 0.3463799310.9 0.0000 2.9715314449 0.0000 0.0377126 0.0033281139 -0.27377976

11 0.0000 -8.447126594 0.0000 -0.056589 -0.0049939782 0.1073379211.1 0.0000 10.593884924 0.0000 0.0541658 0.004780099 0.0881436311.2 0.0000 -8.831012378 0.0000 -0.032505 -0.0028685792 -0.2411171911.3 0.0000 4.0086685266 0.0000 0.0004359 3.8471219E-05 0.299258211.4 0.0000 1.9764955068 0.0000 0.0299877 0.0026463973 -0.2470996811.5 0.0000 -6.918489115 0.0000 -0.047977 -0.0042339123 0.1094934911.6 0.0000 9.1083588819 0.0000 0.0477956 0.0042179319 0.059543411.7 0.0000 -7.917490964 0.0000 -0.03053 -0.002694258 -0.1977871911.8 0.0000 3.9617470711 0.0000 0.0033151 0.0002925542 0.2575234411.9 0.0000 1.1887217368 0.0000 0.0235566 0.002078854 -0.22179744

12 0.0000 -5.624670623 0.0000 -0.040493 -0.0035735077 0.1087502112.1 0.0000 7.7996747919 0.0000 0.0419956 0.0037060842 0.0368416312.2 0.0000 -7.062842162 0.0000 -0.028393 -0.0025056893 -0.161077112.3 0.0000 3.8413001019 0.0000 0.0054 0.000476546 0.2207218112.4 0.0000 0.5731360711 0.0000 0.0182329 0.0016090396 -0.1980719412.5 0.0000 -4.534574802 0.0000 -0.034017 -0.0030019629 0.1058518912.6 0.0000 6.6516125613 0.0000 0.0367475 0.0032429438 0.0190462512.7 0.0000 -6.270687637 0.0000 -0.026182 -0.0023105105 -0.1301153312.8 0.0000 3.6683809761 0.0000 0.0068452 0.0006040822 0.1884071912.9 0.0000 0.0997627677 0.0000 0.0138532 0.0012225336 -0.17603816

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13 0.0000 -3.620525961 0.0000 -0.028434 -0.0025092747 0.1014019913.1 0.0000 5.648565855 0.0000 0.0320258 0.0028262544 0.0053085913.2 0.0000 -5.54239412 0.0000 -0.023961 -0.0021145838 -0.1041253513.3 0.0000 3.4598870955 0.0000 0.0077801 0.0006865909 0.1601488513.4 0.0000 -0.256910164 0.0000 0.0102748 0.0009067425 -0.1557458213.5 0.0000 -2.858006152 0.0000 -0.02364 -0.0020862536 0.0958858913.6 0.0000 4.7757240436 0.0000 0.0277999 0.0024533259 -0.005094313.7 0.0000 -4.877610121 0.0000 -0.021783 -0.0019223158 -0.0824185313.8 0.0000 3.229239489 0.0000 0.0083128 0.0007336005 0.1355368613.9 0.0000 -0.518502332 0.0000 0.0073736 0.0006507118 -0.13719463

14 0.0000 -2.225390295 0.0000 -0.019541 -0.0017245172 0.0896900514.1 0.0000 4.0191913355 0.0000 0.0240364 0.0021212016 -0.0127756814.2 0.0000 -4.274704883 0.0000 -0.019682 -0.0017369279 -0.0643869114.3 0.0000 2.9869666284 0.0000 0.0085328 0.0007530113 0.114185714.4 0.0000 -0.703252687 0.0000 0.005042 0.0004449507 -0.1203469114.5 0.0000 -1.703685511 0.0000 -0.016051 -0.0014164679 0.0831185414.6 0.0000 3.3660563019 0.0000 0.0207003 0.0018267882 -0.0182534214.7 0.0000 -3.73112468 0.0000 -0.017685 -0.0015606846 -0.0494960414.8 0.0000 2.7412039514 0.0000 0.0085138 0.0007513345 0.0957364214.9 0.0000 -0.826475566 0.0000 0.0031872 0.0002812685 -0.10513774

15 0.0000 -1.27627923 0.0000 -0.013091 -0.0011552597 0.0764071815.1 0.0000 2.8044227489 0.0000 0.017756 0.0015669571 -0.0219628415.2 0.0000 -3.243679534 0.0000 -0.015808 -0.0013950849 -0.03727815.3 0.0000 2.4981194985 0.0000 0.0083162 0.0007339007 0.0798577115.4 0.0000 -0.900965215 0.0000 0.0017295 0.0001526252 -0.0914832215.5 0.0000 -0.928699278 0.0000 -0.010592 -0.0009347568 0.0697355915.6 0.0000 2.3234109796 0.0000 0.0151686 0.0013386208 -0.0242680315.7 0.0000 -2.808771641 0.0000 -0.014063 -0.0012410223 -0.0273248315.8 0.0000 2.262275049 0.0000 0.0079892 0.0007050413 0.066246115.9 0.0000 -0.937353007 0.0000 0.0006005 5.2993607E-05 -0.07928706

16 0.0000 -0.648388115 0.0000 -0.008493 -0.0007494874 0.0632374416.1 0.0000 1.9131368507 0.0000 0.0129042 0.0011387885 -0.0254719216.2 0.0000 -2.422575235 0.0000 -0.012452 -0.0010989176 -0.019282216.3 0.0000 2.0369311744 0.0000 0.0075722 0.0006682463 0.0546254816.4 0.0000 -0.944421552 0.0000 -0.000258 -2.276484E-05 -0.068445716.5 0.0000 -0.424492531 0.0000 -0.006738 -0.0005945947 0.0570091116.6 0.0000 1.5646746517 0.0000 0.0109305 0.0009646067 -0.0258250816.7 0.0000 -2.081176197 0.0000 -0.010978 -0.0009688284 -0.0128436216.8 0.0000 1.8243037208 0.0000 0.0070969 0.0006263004 0.044746216.9 0.0000 -0.929379748 0.0000 -0.000895 -7.901264E-05 -0.05885246

17 0.0000 -0.247669435 0.0000 -0.005278 -0.0004657875 0.0511169617.1 0.0000 1.2700086649 0.0000 0.0092169 0.0008133859 -0.0255334917.2 0.0000 -1.780678522 0.0000 -0.009638 -0.0008505391 -0.0077450117.3 0.0000 1.6257783933 0.0000 0.0065881 0.0005813999 0.0363837917.4 0.0000 -0.898102664 0.0000 -0.001353 -0.0001194371 -0.0504005317.5 0.0000 -0.109907897 0.0000 -0.004071 -0.00035929 0.0456034717.6 0.0000 1.0219772949 0.0000 0.0077351 0.0006826175 -0.0247653217.7 0.0000 -1.517283658 0.0000 -0.008427 -0.0007436342 -0.00375972

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17.8 0.0000 1.4420893388 0.0000 0.0060652 0.0005352536 0.0293374717.9 0.0000 -0.855339917 0.0000 -0.001667 -0.0001471406 -0.04298535

18 0.0000 -0.00436718 0.0000 -0.00308 -0.0002717942 0.0404922818.1 0.0000 0.814212832 0.0000 0.0064588 0.0005699824 -0.0236567518.2 0.0000 -1.287347832 0.0000 -0.007338 -0.0006475573 -0.0006940518.3 0.0000 1.2734669236 0.0000 0.005543 0.0004891678 0.0234285518.4 0.0000 -0.804895965 0.0000 -0.001867 -0.0001647203 -0.0365063118.5 0.0000 0.0747697621 0.0000 -0.002271 -0.0002004133 0.0357924518.6 0.0000 0.6410792461 0.0000 0.0053638 0.0004733532 -0.0223171218.7 0.0000 -1.087421649 0.0000 -0.006364 -0.0005616588 0.0016168818.8 0.0000 1.1197592554 0.0000 0.0050326 0.0004441196 0.0184986918.9 0.0000 -0.749785487 0.0000 -0.001976 -0.0001743396 -0.03086787

19 0.0000 0.1324280418 0.0000 -0.001616 -0.0001426385 0.0315018919.1 0.0000 0.4976098432 0.0000 0.0044283 0.000390792 -0.0208332919.2 0.0000 -0.914275565 0.0000 -0.005498 -0.0004852327 0.0033127919.3 0.0000 0.9805314268 0.0000 0.0045419 0.0004008186 0.0144082319.4 0.0000 -0.692366755 0.0000 -0.002015 -0.0001777898 -0.025980419.5 0.0000 0.1727587249 0.0000 -0.001091 -9.629761E-05 0.0276102419.6 0.0000 0.379446162 0.0000 0.0036323 0.0003205444 -0.019273419.7 0.0000 -0.764914227 0.0000 -0.004731 -0.0004175464 0.0045115919.8 0.0000 0.8551459355 0.0000 0.0040766 0.0003597585 0.0110345119.9 0.0000 -0.634455659 0.0000 -0.002001 -0.0001765455 -0.02176059

20 0.0000 0.1992437856 0.0000 -0.000674 -5.951791E-05 0.02410115

Masa M 2.1303Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.4615

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 2.6 MAX Uivelocidad inicial Ůo 2.7 MAX U´iaceleracion inicial ϋ o 2.8 MAX U´´i

periodo de la estru T 2.9

CALCULOS INICIALES WnÜo 10.156409516 TnΔt 10.16476222 estabilidad^K 10.17 10.3 NO ESTABLEa 1.76 2.64b 4.26 6.4139

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.156409516 5.0000 5.4109638 0.4775143153 4.150286310.1 5.0000 72.849316608 3.6603 4.9414435 0.4360794261 -4.978984090.2 8.6603 -172.4289984 1.3397 0.7153784 0.0631317156 -2.479970120.3 10.0000 122.82959603 -1.3397 -0.798529 -0.0704697421 -0.19205903

CASOS

ESPECIA

LES

D6220
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D6222
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C6223
estos son datos iniciales?
C6225
esta es igual a la aceleracion del sismo?
G6230
REVIZAR….
B6231
caso de aceleracion promedio
C6231
caso de aceleracion promedio
B6232
este es para el caso de aceleracion promedio
C6232
este es para el caso de aceleracion promedio
B6233
para el caso de aceleracion promedio
C6233
para el caso de aceleracion promedio
A6236
el tiempo lo vamos a variar
B6236
ESTE ES EL DATO QUE VA A VARIAR
D6236
este dato no es igual al de la segunda columna?
C6237
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 162: Hojas de Calculo Fransua

0.4 8.6603 -126.6707767 -3.6603 -4.408594 -0.3890557975 -6.179662070.5 5.0000 3.0775351958 -5.0000 -5.913863 -0.5218948637 3.522880750.6 0.0000 67.380079817 0.0000 -0.119023 -0.0105037317 6.704941890.7 0.0000 66.718757976 0.0000 0.770404 0.0679876928 -5.13511340.8 0.0000 -169.421026 0.0000 -1.109646 -0.0979255596 1.816848350.9 0.0000 205.75799296 0.0000 1.0329508 0.09115729 1.96480864

1 0.0000 -166.4618201 0.0000 -0.591118 -0.0521658313 -4.831271071.1 0.0000 69.836398692 0.0000 -0.037312 -0.0032927376 5.808732941.2 0.0000 46.338260199 0.0000 0.6170907 0.0544578863 -4.653720471.3 0.0000 -139.4126695 0.0000 -0.943587 -0.0832710287 1.899142171.4 0.0000 177.39551284 0.0000 0.9142564 0.0806825824 1.379930061.5 0.0000 -149.7969117 0.0000 -0.559579 -0.0493825172 -3.981232051.6 0.0000 70.172270713 0.0000 0.0246881 0.002178713 5.012456651.7 0.0000 30.076862386 0.0000 0.4889819 0.0431523609 -4.19298371.8 0.0000 -113.9365364 0.0000 -0.798903 -0.0705027439 1.91988161.9 0.0000 152.33416841 0.0000 0.8056762 0.07110044 0.91218208

2 0.0000 -134.0905269 0.0000 -0.523909 -0.0462346775 -3.258884432.1 0.0000 68.912838376 0.0000 0.0705903 0.006229549 4.308168962.2 0.0000 17.250540736 0.0000 0.3825081 0.0337561077 -3.757637782.3 0.0000 -92.40329638 0.0000 -0.673342 -0.0594220627 1.894074372.4 0.0000 130.28478387 0.0000 0.7070087 0.0623930955 0.542228792.5 0.0000 -119.4402081 0.0000 -0.485914 -0.0428816131 -2.647722962.6 0.0000 66.485748869 0.0000 0.1034479 0.0091292158 3.687939542.7 0.0000 7.2730419185 0.0000 0.29453 0.0259920951 -3.350681952.8 0.0000 -74.28668099 0.0000 -0.564807 -0.0498438769 1.833962512.9 0.0000 110.96593127 0.0000 0.6178898 0.0545284059 0.25348314

3 0.0000 -105.8962684 0.0000 -0.446995 -0.0394470488 -2.132992243.1 0.0000 63.236423674 0.0000 0.1258286 0.0111042974 3.144019163.2 0.0000 -0.356040433 0.0000 0.2222984 0.019617699 -2.973751133.3 0.0000 -59.1189822 0.0000 -0.47136 -0.0415972006 1.749453143.4 0.0000 94.108045019 0.0000 0.5378411 0.047464154 0.031773953.5 0.0000 -93.47256601 0.0000 -0.408223 -0.036025401 -1.701565053.6 0.0000 59.441264985 0.0000 0.1398808 0.0123443986 2.668961043.7 0.0000 -6.062044128 0.0000 0.1634151 0.0144212882 -2.627423253.8 0.0000 -46.48642088 0.0000 -0.391224 -0.0345253062 1.648491363.9 0.0000 79.456248104 0.0000 0.466309 0.0411514865 -0.13495551

4 0.0000 -82.15535825 0.0000 -0.370395 -0.0326871031 -1.341816284.1 0.0000 55.319032586 0.0000 0.147393 0.0130073464 2.255705274.2 0.0000 -10.20492712 0.0000 0.1157968 0.0102190007 -2.311472194.3 0.0000 -36.02451665 0.0000 -0.322784 -0.0284855195 1.537381784.4 0.0000 66.772152335 0.0000 0.4026954 0.035537632 -0.256918754.5 0.0000 -71.91052738 0.0000 -0.334089 -0.0294831102 -1.043496094.6 0.0000 51.04060554 0.0000 0.1498454 0.0132237704 1.89763374.7 0.0000 -13.08793148 0.0000 0.0776405 0.00685173 -2.025074514.8 0.0000 -27.41355873 0.0000 -0.264577 -0.0233487633 1.421064654.9 0.0000 55.834851636 0.0000 0.3463822 0.0305680215 -0.34272895

5 0.0000 -62.68943062 0.0000 -0.299704 -0.0264486925 -0.797605335.1 0.0000 46.737324032 0.0000 0.1484556 0.0131011177 1.58860153

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5.2 0.0000 -14.96529338 0.0000 0.0473922 0.0041823362 -1.766977165.3 0.0000 -20.37424988 0.0000 -0.215287 -0.0189989229 1.303351985.4 0.0000 46.441289495 0.0000 0.2967489 0.026187914 -0.399615245.5 0.0000 -54.43359434 0.0000 -0.267499 -0.0236066134 -0.596275315.6 0.0000 42.508088212 0.0000 0.1442181 0.0127271605 1.322950795.7 0.0000 -16.04907251 0.0000 0.0237178 0.0020930838 -1.535632325.8 0.0000 -14.66357386 0.0000 -0.173736 -0.0153320922 1.18712885.9 0.0000 38.40614982 0.0000 0.2531872 0.0223436189 -0.43361458

6 0.0000 -47.07844132 0.0000 -0.23762 -0.02096978 -0.43265346.1 0.0000 38.425373265 0.0000 0.1379391 0.0121730453 1.095509916.2 0.0000 -16.5151751 0.0000 0.0054766 0.0004833051 -1.329304716.3 0.0000 -10.07091917 0.0000 -0.138876 -0.0122557455 1.07452376.4 0.0000 31.561393203 0.0000 0.2151107 0.0189833883 -0.449741036.5 0.0000 -40.55621371 0.0000 -0.210125 -0.018543439 -0.300795526.6 0.0000 34.540303289 0.0000 0.1302664 0.0114959353 0.901583016.7 0.0000 -16.50864314 0.0000 -0.008303 -0.0007327178 -1.146156076.8 0.0000 -6.414478233 0.0000 -0.109778 -0.0096878728 0.967052976.9 0.0000 25.755537606 0.0000 0.1819621 0.0160580433 -0.45213465

7 0.0000 -34.79823054 0.0000 -0.18501 -0.0163269878 -0.195565987.1 0.0000 30.886911026 0.0000 0.1217152 0.0107412902 0.736931547.2 0.0000 -16.14828032 0.0000 -0.018444 -0.00162766 -0.984310547.3 0.0000 -3.537930484 0.0000 -0.085622 -0.0075561055 0.865741637.4 0.0000 20.852763118 0.0000 0.1532179 0.0135213881 -0.444191767.5 0.0000 -29.73659833 0.0000 -0.162216 -0.0143154554 -0.112545117.6 0.0000 27.485696135 0.0000 0.11269 0.0099448259 0.597750747.7 0.0000 -15.53068143 0.0000 -0.025642 -0.0022628642 -0.841904547.8 0.0000 -1.307409327 0.0000 -0.065687 -0.0057968538 0.771224757.9 0.0000 16.731904243 0.0000 0.1283913 0.0113304557 -0.42867855

8 0.0000 -25.30547533 0.0000 -0.141652 -0.0125007066 -0.047944698.1 0.0000 24.346581496 0.0000 0.1035043 0.0091341916 0.480642668.2 0.0000 -14.73372839 0.0000 -0.03048 -0.0026898646 -0.717123788.3 0.0000 0.3912528264 0.0000 -0.049343 -0.0043544723 0.683831628.4 0.0000 13.285379639 0.0000 0.1070333 0.0094456226 -0.407829728.5 0.0000 -21.44197413 0.0000 -0.123201 -0.0108724113 0.001469058.6 0.0000 21.471355032 0.0000 0.0943961 0.0083303998 0.382587188.7 0.0000 -13.81961147 0.0000 -0.033448 -0.0029517399 -0.608229978.8 0.0000 1.6550120352 0.0000 -0.036039 -0.0031804632 0.603655518.9 0.0000 10.418098068 0.0000 0.0887329 0.0078306223 -0.3834338

9 0.0000 -18.08677398 0.0000 -0.10673 -0.0094188184 0.038444989.1 0.0000 18.855673627 0.0000 0.0855421 0.0075490403 0.300912199.2 0.0000 -12.83742982 0.0000 -0.03495 -0.0030843088 -0.513579179.3 0.0000 2.5658463805 0.0000 -0.0253 -0.0022327262 0.530610829.4 0.0000 8.0463700856 0.0000 0.0731165 0.0064524834 -0.356906639.5 0.0000 -15.18450271 0.0000 -0.092095 -0.0081273651 0.065309669.6 0.0000 16.490695951 0.0000 0.0770691 0.0068013054 0.233263759.7 0.0000 -11.82542098 0.0000 -0.035322 -0.0031171814 -0.431633499.8 0.0000 3.192751259 0.0000 -0.016712 -0.0014748589 0.464479949.9 0.0000 6.0968474594 0.0000 0.0598464 0.0052814124 -0.32935451

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10 0.0000 -12.68393763 0.0000 -0.079152 -0.0069851516 0.0840232310.1 0.0000 14.364402187 0.0000 0.069064 0.0060948538 0.1775768810.2 0.0000 -10.81286457 0.0000 -0.034841 -0.0030746804 -0.3609675610.3 0.0000 3.5935132724 0.0000 -0.009921 -0.00087551 0.4049509710.4 0.0000 4.5055061933 0.0000 0.0486195 0.0042906374 -0.3016280210.5 0.0000 -10.53806669 0.0000 -0.067755 -0.0059793034 0.0962292110.6 0.0000 12.46265086 0.0000 0.0615815 0.0054345321 0.132047510.7 0.0000 -9.821700849 0.0000 -0.03373 -0.0029766447 -0.3002710410.8 0.0000 3.8162801027 0.0000 -0.004621 -0.0004077861 0.3516482110.9 0.0000 3.2166841086 0.0000 0.0391643 0.0034562258 -0.27436797

11 0.0000 -8.704043576 0.0000 -0.05776 -0.0050972418 0.1032986211.1 0.0000 10.770016015 0.0000 0.0546517 0.004822977 0.0951057511.2 0.0000 -8.867900952 0.0000 -0.032172 -0.0028391283 -0.2483478611.3 0.0000 3.9009437939 0.0000 -0.000552 -4.871166E-05 0.3041561911.4 0.0000 2.1821800076 0.0000 0.0312397 0.0027568867 -0.2480442211.5 0.0000 -7.14306448 0.0000 -0.04903 -0.004326881 0.1063688711.6 0.0000 9.2704418687 0.0000 0.0482849 0.004261113 0.0653910111.7 0.0000 -7.962621658 0.0000 -0.030312 -0.0026750044 -0.2041133611.8 0.0000 3.8803544996 0.0000 0.0025072 0.0002212598 0.2620386411.9 0.0000 1.3604183529 0.0000 0.0246321 0.0021737662 -0.22298851

12 0.0000 -5.82018864 0.0000 -0.041437 -0.0036567644 0.106377912.1 0.0000 7.9477466555 0.0000 0.0424769 0.0037485625 0.0417286412.2 0.0000 -7.113173877 0.0000 -0.028266 -0.0024944874 -0.1665896412.3 0.0000 3.781381128 0.0000 0.0047444 0.0004186861 0.2248531112.4 0.0000 0.7156810036 0.0000 0.019153 0.0016902418 -0.1994219912.5 0.0000 -4.704120845 0.0000 -0.034857 -0.0030761532 0.1040940912.6 0.0000 6.7860026911 0.0000 0.0372125 0.0032839811 0.0231085912.7 0.0000 -6.323830804 0.0000 -0.026126 -0.0023055799 -0.1348998212.8 0.0000 3.6258344838 0.0000 0.0063177 0.0005575298 0.1921620112.9 0.0000 0.2174057124 0.0000 0.0146371 0.0012917195 -0.17747821

13 0.0000 -3.766970007 0.0000 -0.02918 -0.0025750774 0.1001422813.1 0.0000 5.7698155426 0.0000 0.0324685 0.0028653289 0.0086658513.2 0.0000 -5.596498576 0.0000 -0.02396 -0.0021144563 -0.1082615513.3 0.0000 3.4312675531 0.0000 0.0073599 0.0006495094 0.1635408613.4 0.0000 -0.160450271 0.0000 0.0109399 0.0009654393 -0.1572222713.5 0.0000 -2.983995061 0.0000 -0.024299 -0.0021443577 0.0950263313.6 0.0000 4.8845216251 0.0000 0.0282165 0.002490089 -0.0023373913.7 0.0000 -4.931269518 0.0000 -0.021822 -0.0019257881 -0.0859801513.8 0.0000 3.2116665439 0.0000 0.007982 0.0007044104 0.1385841213.9 0.0000 -0.439984135 0.0000 0.0079353 0.000700289 -0.13866655

14 0.0000 -2.333346835 0.0000 -0.02012 -0.0017756043 0.0891486814.1 0.0000 4.1163204524 0.0000 0.0244244 0.002155442 -0.0105277514.2 0.0000 -4.326875544 0.0000 -0.019751 -0.0017430215 -0.0674415214.3 0.0000 2.9780452304 0.0000 0.0082761 0.00073036 0.1169091514.4 0.0000 -0.6398623 0.0000 0.0055143 0.0004866304 -0.1217837414.5 0.0000 -1.795812455 0.0000 -0.016558 -0.0014611998 0.0828271314.6 0.0000 3.452355099 0.0000 0.0210585 0.001858402 -0.016435114.7 0.0000 -3.781057019 0.0000 -0.017775 -0.0015686102 -0.05210515

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14.8 0.0000 2.7389540801 0.0000 0.0083181 0.0007340681 0.0981587114.9 0.0000 -0.775779841 0.0000 0.0035823 0.0003161362 -0.10651735

15 0.0000 -1.354567155 0.0000 -0.013533 -0.0011942689 0.0763092515.1 0.0000 2.8807521434 0.0000 0.0180842 0.0015959231 -0.0205054115.2 0.0000 -3.290860357 0.0000 -0.015912 -0.0014042118 -0.0394972915.3 0.0000 2.5009145976 0.0000 0.0081705 0.0007210389 0.082002315.4 0.0000 -0.86086854 0.0000 0.0020583 0.0001816402 -0.0927902815.5 0.0000 -0.99493698 0.0000 -0.010976 -0.00096864 0.0697846715.6 0.0000 2.3906304056 0.0000 0.0154673 0.00136498 -0.0231122715.7 0.0000 -2.852875846 0.0000 -0.014174 -0.0012508525 -0.0292043815.8 0.0000 2.2687883067 0.0000 0.007884 0.0006957552 0.0681365315.9 0.0000 -0.906057686 0.0000 0.0008725 7.7000682E-05 -0.08051162

16 0.0000 -0.704174753 0.0000 -0.008825 -0.000778802 0.0633955716.1 0.0000 1.9720861265 0.0000 0.0131743 0.0011626278 -0.0245669716.2 0.0000 -2.46342559 0.0000 -0.012567 -0.0011090627 -0.0208668416.3 0.0000 2.0460888369 0.0000 0.0074996 0.0006618382 0.0562848616.4 0.0000 -0.920391717 0.0000 -3.428E-05 -3.02533E-06 -0.0695821316.5 0.0000 -0.471250803 0.0000 -0.007024 -0.0006198566 0.057245516.6 0.0000 1.6161608207 0.0000 0.0111734 0.0009860454 -0.0251274616.7 0.0000 -2.118710031 0.0000 -0.011093 -0.000978991 -0.0141732716.8 0.0000 1.8352446784 0.0000 0.0070503 0.0006221856 0.046196816.9 0.0000 -0.911308694 0.0000 -0.000713 -6.289429E-05 -0.0598984

17 0.0000 -0.28665925 0.0000 -0.005524 -0.0004874702 0.0514068817.1 0.0000 1.3147968472 0.0000 0.0094342 0.0008325652 -0.0250061717.2 0.0000 -1.81492031 0.0000 -0.009751 -0.0008604959 -0.0088550517.3 0.0000 1.6378193339 0.0000 0.006562 0.0005790913 0.0376467917.4 0.0000 -0.884883451 0.0000 -0.001205 -0.0001063779 -0.0513561817.5 0.0000 -0.142240115 0.0000 -0.004281 -0.0003778252 0.0459272317.6 0.0000 1.0607847378 0.0000 0.0079286 0.0006996916 -0.0243768917.7 0.0000 -1.548322617 0.0000 -0.008535 -0.0007532225 -0.0046813917.8 0.0000 1.4546948224 0.0000 0.006055 0.0005343474 0.0304327917.9 0.0000 -0.846039047 0.0000 -0.001548 -0.0001366536 -0.04385281

18 0.0000 -0.031017114 0.0000 -0.003259 -0.000287573 0.0408344218.1 0.0000 0.8477054852 0.0000 0.0066302 0.0005851123 -0.0233807118.2 0.0000 -1.315319744 0.0000 -0.007441 -0.0006566633 -0.001454818.3 0.0000 1.2862237855 0.0000 0.0055449 0.0004893314 0.0243746918.4 0.0000 -0.798729942 0.0000 -0.001772 -0.0001563855 -0.0372890318.5 0.0000 0.0529493142 0.0000 -0.002423 -0.0002137881 0.0361409818.6 0.0000 0.6698703015 0.0000 0.0055151 0.0004867011 -0.022131218.7 0.0000 -1.112494246 0.0000 -0.006461 -0.0005702074 0.0009930318.8 0.0000 1.1323548036 0.0000 0.0050434 0.000445081 0.0193127418.9 0.0000 -0.746100022 0.0000 -0.001901 -0.0001677961 -0.03157028

19 0.0000 0.1146944011 0.0000 -0.001744 -0.0001539247 0.0318477119.1 0.0000 0.5222597771 0.0000 0.0045611 0.0004025179 -0.0207188619.2 0.0000 -0.936636897 0.0000 -0.005588 -0.0004931797 0.002804919.3 0.0000 0.9927349493 0.0000 0.0045593 0.0004023567 0.0151058319.4 0.0000 -0.690618419 0.0000 -0.001957 -0.0001727288 -0.0266075419.5 0.0000 0.1584676761 0.0000 -0.001199 -0.0001057767 0.02794658

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19.6 0.0000 0.4004639016 0.0000 0.0037485 0.0003308032 -0.0192149819.7 0.0000 -0.78476351 0.0000 -0.004814 -0.0004248719 0.0041014819.8 0.0000 0.866793086 0.0000 0.0040986 0.0003616954 0.0116298719.9 0.0000 -0.634195748 0.0000 -0.001957 -0.0001727038 -0.02231785

20 0.0000 0.1878387275 0.0000 -0.000764 -6.743948E-05 0.02442314

Masa M 2.2797Aceleracion promedioRigidez K 10.0

Xi ξ 0.05Aceleracion linealamortiguamiento C 0.4775

Acel sismo As 0Carga Po 0desplazamiento iniciak Uo 2.7 MAX Uivelocidad inicial Ůo 2.8 MAX U´iaceleracion inicial ϋ o 2.9 MAX U´´i

periodo de la estru T 3

CALCULOS INICIALES WnÜo 10.16476222 TnΔt 10.173284705 estabilidad^K 10.18 10.3 NO ESTABLEa 1.85 2.78b 4.56 6.8631

METODO DE ACELERACION PROMEDIOti Pi ϋi Δpi ΔP^i ΔUi ΔU´i

0 0.0000 10.16476222 5.0000 5.4243214 0.4786931095 3.973862190.1 5.0000 69.312481599 3.6603 4.9133496 0.4336001604 -4.875721170.2 8.6603 -166.8269051 1.3397 0.7473326 0.0659516529 -2.477248980.3 10.0000 117.28192551 -1.3397 -0.822698 -0.0726026291 -0.293836660.4 8.6603 -123.1586588 -3.6603 -4.400418 -0.3883342125 -6.0207950.5 5.0000 2.7427587184 -5.0000 -5.904021 -0.5210263522 3.366952210.6 0.0000 64.596285477 0.0000 -0.142351 -0.0125623728 6.802327380.7 0.0000 71.450262091 0.0000 0.7981165 0.0704333043 -5.142413840.8 0.0000 -174.2985388 0.0000 -1.131585 -0.0998617002 1.736513750.9 0.0000 209.02881376 0.0000 1.0415946 0.0919200997 2.09912225

1 0.0000 -167.0463687 0.0000 -0.584122 -0.051548402 -4.968492291.1 0.0000 67.676523011 0.0000 -0.056567 -0.0049920318 5.899619691.2 0.0000 50.315870786 0.0000 0.6410298 0.0565704929 -4.66836921.3 0.0000 -143.6832547 0.0000 -0.963385 -0.0850181295 1.836596751.4 0.0000 180.41518968 0.0000 0.923064 0.0814598417 1.492962681.5 0.0000 -150.5559362 0.0000 -0.554864 -0.0489664262 -4.101488031.6 0.0000 68.526175511 0.0000 0.0088968 0.0007851355 5.096519271.7 0.0000 33.404209842 0.0000 0.5095794 0.0449700797 -4.212820381.8 0.0000 -117.6606175 0.0000 -0.81667 -0.0720706474 1.872005841.9 0.0000 155.10073438 0.0000 0.8144167 0.0718717847 1.0068428

2 0.0000 -134.9638784 0.0000 -0.521005 -0.0459783348 -3.363845192.1 0.0000 67.686974626 0.0000 0.0577334 0.0050949398 4.38531068

CASOS

ESPECIA

LES

D6442
si nos dan el Xi y no el amortiguamiento lo calculamos con la formula C=2*ξ*(km)^0.5
D6444
AVECES NOS DAN LA CARGA O AVECES NOS DAN LA ACELERACION DEL SISMO EN ESTE CASO SE MILTIPLICA POR LA MASA Y NOS DA EL VALOR DE LA CARGA
C6445
estos son datos iniciales?
C6447
esta es igual a la aceleracion del sismo?
G6452
REVIZAR….
B6453
caso de aceleracion promedio
C6453
caso de aceleracion promedio
B6454
este es para el caso de aceleracion promedio
C6454
este es para el caso de aceleracion promedio
B6455
para el caso de aceleracion promedio
C6455
para el caso de aceleracion promedio
A6458
el tiempo lo vamos a variar
B6458
ESTE ES EL DATO QUE VA A VARIAR
D6458
este dato no es igual al de la segunda columna?
C6459
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 167: Hojas de Calculo Fransua

2.2 0.0000 20.019238995 0.0000 0.4001595 0.0353138355 -3.780932772.3 0.0000 -95.63789432 0.0000 -0.689206 -0.0608219987 1.858216082.4 0.0000 132.80221598 0.0000 0.7155108 0.0631434016 0.621091922.5 0.0000 -120.3803775 0.0000 -0.484427 -0.0427504309 -2.738968572.6 0.0000 65.60100604 0.0000 0.0930656 0.0082129873 3.758236942.7 0.0000 9.5637327248 0.0000 0.3095949 0.0273215655 -3.376065372.8 0.0000 -77.0850402 0.0000 -0.578903 -0.0510878725 1.807876612.9 0.0000 113.24257248 0.0000 0.6260303 0.0552467997 0.31881683

3 0.0000 -106.8662359 0.0000 -0.446603 -0.0394124281 -2.212001393.1 0.0000 62.626208138 0.0000 0.1175232 0.01037135 3.207676953.2 0.0000 1.5273308198 0.0000 0.2351018 0.0207475932 -3.000152083.3 0.0000 -61.5303725 0.0000 -0.483829 -0.0426976211 1.73124783.4 0.0000 96.155328466 0.0000 0.5455355 0.0481431789 0.08556823.5 0.0000 -94.44396443 0.0000 -0.408658 -0.0360638437 -1.769708653.6 0.0000 59.049791357 0.0000 0.1333097 0.0117644985 2.72627553.7 0.0000 -4.524281371 0.0000 0.1742492 0.015377384 -2.654017793.8 0.0000 -48.55607443 0.0000 -0.402207 -0.035494504 1.636580033.9 0.0000 81.287675051 0.0000 0.4735036 0.0417864056 -0.09096184

4 0.0000 -83.10691184 0.0000 -0.371441 -0.0327794377 -1.400355034.1 0.0000 55.099811319 0.0000 0.1422622 0.0125545552 2.307034884.2 0.0000 -8.959113639 0.0000 0.1249226 0.011024346 -2.337639074.3 0.0000 -37.79366772 0.0000 -0.332417 -0.0293355711 1.530440734.4 0.0000 68.402482236 0.0000 0.4093608 0.0361258476 -0.221212354.5 0.0000 -72.82672928 0.0000 -0.33557 -0.029613818 -1.093580964.6 0.0000 50.955110081 0.0000 0.1459038 0.0128759248 1.943375824.7 0.0000 -12.08759376 0.0000 0.0852905 0.0075268323 -2.050357664.8 0.0000 -28.91955954 0.0000 -0.272991 -0.0240912787 1.417995444.9 0.0000 57.279468433 0.0000 0.3525077 0.0311085935 -0.313998

5 0.0000 -63.55942845 0.0000 -0.301479 -0.0266053248 -0.840280375.1 0.0000 46.75382114 0.0000 0.1454895 0.0128393593 1.629174055.2 0.0000 -14.17034018 0.0000 0.0537721 0.0047453587 -1.791054065.3 0.0000 -21.65074101 0.0000 -0.222607 -0.0196449128 1.303248635.4 0.0000 47.715713577 0.0000 0.3023382 0.0266811644 -0.376727085.5 0.0000 -55.25025527 0.0000 -0.269456 -0.0237792888 -0.632481985.6 0.0000 42.600615678 0.0000 0.1420464 0.0125355119 1.358777995.7 0.0000 -15.42505578 0.0000 0.0290092 0.0025600429 -1.558287385.8 0.0000 -15.74069173 0.0000 -0.180079 -0.0158918813 1.189248895.9 0.0000 39.525669575 0.0000 0.2582545 0.0227908077 -0.41559511

6 0.0000 -47.83757183 0.0000 -0.23967 -0.0211507524 -0.463236096.1 0.0000 38.572850022 0.0000 0.1364092 0.0120380309 1.127011766.2 0.0000 -16.03261488 0.0000 0.0098388 0.0008682643 -1.350407096.3 0.0000 -10.97552691 0.0000 -0.144351 -0.0127389223 1.078263366.4 0.0000 32.54079407 0.0000 0.219678 0.019386451 -0.435755896.5 0.0000 -41.25591189 0.0000 -0.212202 -0.0187267286 -0.32650776.6 0.0000 34.725757844 0.0000 0.1292501 0.0114062433 0.929167146.7 0.0000 -16.14241503 0.0000 -0.00473 -0.00041746 -1.165641216.8 0.0000 -7.170409112 0.0000 -0.114485 -0.0101032682 0.971925046.9 0.0000 26.608909981 0.0000 0.1860566 0.0164193796 -0.44147209

Page 168: Hojas de Calculo Fransua

7 0.0000 -35.4383517 0.0000 -0.187062 -0.0165080661 -0.217076837.1 0.0000 31.096815117 0.0000 0.1211053 0.0106874729 0.760987617.2 0.0000 -15.87706291 0.0000 -0.01554 -0.0013713923 -1.002164917.3 0.0000 -4.166235364 0.0000 -0.089653 -0.0079117927 0.87135697.4 0.0000 21.593373459 0.0000 0.1568701 0.0138436937 -0.436247187.5 0.0000 -30.31831697 0.0000 -0.164205 -0.0144909786 -0.130446277.6 0.0000 27.709391544 0.0000 0.1123978 0.0099190352 0.618646557.7 0.0000 -15.33646062 0.0000 -0.023301 -0.002056294 -0.858153137.8 0.0000 -1.826601993 0.0000 -0.069124 -0.0061001649 0.777275717.9 0.0000 17.372116273 0.0000 0.1316336 0.01161659 -0.42294062

8 0.0000 -25.8309286 0.0000 -0.143551 -0.0126682899 -0.062756988.1 0.0000 24.575788976 0.0000 0.1034562 0.0091299462 0.49872178.2 0.0000 -14.6013549 0.0000 -0.028612 -0.0025249625 -0.731819888.3 0.0000 -0.035042655 0.0000 -0.052261 -0.0046120261 0.690078618.4 0.0000 13.836614773 0.0000 0.1098988 0.0096985058 -0.403867978.5 0.0000 -21.91397414 0.0000 -0.124992 -0.0110304397 -0.010710948.6 0.0000 21.699755294 0.0000 0.0945319 0.0083423819 0.398167388.7 0.0000 -13.73640779 0.0000 -0.031973 -0.0028215951 -0.621446928.8 0.0000 1.307469472 0.0000 -0.038507 -0.0033982021 0.609914788.9 0.0000 10.890826066 0.0000 0.0912545 0.0080531574 -0.38088759

9 0.0000 -18.5085778 0.0000 -0.108401 -0.0095662881 0.028498689.1 0.0000 19.07855133 0.0000 0.0858127 0.0075729176 0.314285449.2 0.0000 -12.79284259 0.0000 -0.033802 -0.0029829973 -0.525403749.3 0.0000 2.2847678899 0.0000 -0.027376 -0.002415958 0.536744529.4 0.0000 8.4501225422 0.0000 0.0753263 0.0066474982 -0.35547549.5 0.0000 -15.5596305 0.0000 -0.093641 -0.0082637517 0.05725049.6 0.0000 16.704638535 0.0000 0.0774348 0.0068335774 0.244696189.7 0.0000 -11.81071496 0.0000 -0.034444 -0.0030396456 -0.442160649.8 0.0000 2.9675021898 0.0000 -0.018451 -0.0016283018 0.470387519.9 0.0000 6.440248107 0.0000 0.0617751 0.0054516172 -0.3287891410 0.0000 -13.01603081 0.0000 -0.080571 -0.0071103009 0.07755077

10.1 0.0000 14.567046267 0.0000 0.069493 0.0061327178 0.187309610.2 0.0000 -10.82085422 0.0000 -0.034183 -0.0030166205 -0.3702963710.3 0.0000 3.4149268433 0.0000 -0.011369 -0.001003339 0.41056210.4 0.0000 4.7963131481 0.0000 0.050296 0.0044385962 -0.301723310.5 0.0000 -10.83077906 0.0000 -0.069047 -0.0060933419 0.0910845310.6 0.0000 12.652469705 0.0000 0.0620488 0.005475769 0.1402976910.7 0.0000 -9.846515993 0.0000 -0.033251 -0.0029344211 -0.3085014910.8 0.0000 3.6764862518 0.0000 -0.005821 -0.0005136795 0.3569163210.9 0.0000 3.4618401475 0.0000 0.040616 0.003584338 -0.27495597

11 0.0000 -8.960959577 0.0000 -0.05893 -0.0052005037 0.0992591411.1 0.0000 10.946142365 0.0000 0.0551375 0.0048658519 0.1020679711.2 0.0000 -8.904782931 0.0000 -0.031838 -0.0028096742 -0.2555784911.3 0.0000 3.7932130758 0.0000 -0.00154 -0.0001358967 0.3090540411.4 0.0000 2.3878677779 0.0000 0.0324917 0.0028673765 -0.2489885811.5 0.0000 -7.367639381 0.0000 -0.050084 -0.0044198484 0.1032440811.6 0.0000 9.4325210348 0.0000 0.0487742 0.0043042915 0.0712387211.7 0.0000 -8.007746728 0.0000 -0.030094 -0.002655748 -0.21043951

Page 169: Hojas de Calculo Fransua

11.8 0.0000 3.7989566154 0.0000 0.0016993 0.0001499635 0.2665537411.9 0.0000 1.5321180889 0.0000 0.0257076 0.002268679 -0.22417943

12 0.0000 -6.015706592 0.0000 -0.04238 -0.0037400201 0.1040054412.1 0.0000 8.0958154702 0.0000 0.0429582 0.0037910387 0.0466157312.2 0.0000 -7.163500817 0.0000 -0.028139 -0.002483283 -0.1721021712.3 0.0000 3.7214574595 0.0000 0.0040887 0.0003608244 0.2289843212.4 0.0000 0.8582288769 0.0000 0.0200732 0.0017714446 -0.2007719112.5 0.0000 -4.873667122 0.0000 -0.035698 -0.0031503427 0.1023361612.6 0.0000 6.920390416 0.0000 0.0376775 0.0033250167 0.0271710212.7 0.0000 -6.376969935 0.0000 -0.02607 -0.0023006473 -0.139684312.8 0.0000 3.5832838609 0.0000 0.0057901 0.0005109757 0.1959167612.9 0.0000 0.3350514002 0.0000 0.0154211 0.0013609061 -0.17891816

13 0.0000 -3.913414505 0.0000 -0.029925 -0.0026408796 0.0988824413.1 0.0000 5.8910633591 0.0000 0.0329113 0.0029044019 0.0120231913.2 0.0000 -5.650599636 0.0000 -0.023959 -0.0021143269 -0.1123977613.3 0.0000 3.4026443915 0.0000 0.0069397 0.0006124264 0.1669328313.4 0.0000 -0.063987842 0.0000 0.011605 0.0010241367 -0.1586986213.5 0.0000 -3.109984576 0.0000 -0.024957 -0.0022024614 0.0941666613.6 0.0000 4.9933177757 0.0000 0.0286331 0.0025268509 0.0004195913.7 0.0000 -4.984926071 0.0000 -0.021861 -0.0019292589 -0.0895417813.8 0.0000 3.1940904407 0.0000 0.0076513 0.0006752191 0.1416313413.9 0.0000 -0.361463612 0.0000 0.0084971 0.0007498669 -0.14013838

14 0.0000 -2.441304085 0.0000 -0.020699 -0.0018266913 0.0886072214.1 0.0000 4.2134484989 0.0000 0.0248124 0.0021896814 -0.0082797714.2 0.0000 -4.379043838 0.0000 -0.01982 -0.0017491138 -0.0704961414.3 0.0000 2.9691210874 0.0000 0.0080194 0.0007077075 0.1196325614.4 0.0000 -0.576469795 0.0000 0.0059866 0.0005283108 -0.123220514.5 0.0000 -1.88794017 0.0000 -0.017064 -0.0015059317 0.0825356514.6 0.0000 3.5386531188 0.0000 0.0214167 0.001890015 -0.0146167114.7 0.0000 -3.830987398 0.0000 -0.017865 -0.0015765346 -0.0547142814.8 0.0000 2.7367018323 0.0000 0.0081224 0.0007168005 0.1005809814.9 0.0000 -0.725082198 0.0000 0.0039774 0.0003510044 -0.1078969

15 0.0000 -1.432855881 0.0000 -0.013975 -0.001233278 0.0762112615.1 0.0000 2.9570809966 0.0000 0.0184125 0.0016248884 -0.0190479315.2 0.0000 -3.338039565 0.0000 -0.016015 -0.0014133378 -0.041716615.3 0.0000 2.5037076474 0.0000 0.0080247 0.0007081761 0.0841468815.4 0.0000 -0.820770138 0.0000 0.0023871 0.0002106559 -0.0940972815.5 0.0000 -1.061175487 0.0000 -0.01136 -0.0010025232 0.069833715.6 0.0000 2.457849479 0.0000 0.015766 0.0013913386 -0.0219564615.7 0.0000 -2.896978731 0.0000 -0.014285 -0.0012606818 -0.0310839515.8 0.0000 2.2752998043 0.0000 0.0077787 0.0006864683 0.0700269515.9 0.0000 -0.874760819 0.0000 0.0011446 0.0001010083 -0.08173615

16 0.0000 -0.759962182 0.0000 -0.009157 -0.0008081167 0.0635536516.1 0.0000 2.0310351983 0.0000 0.0134445 0.0011864667 -0.0236619816.2 0.0000 -2.504274874 0.0000 -0.012682 -0.0011192072 -0.0224514916.3 0.0000 2.0552449939 0.0000 0.007427 0.0006554293 0.0579442216.4 0.0000 -0.896360505 0.0000 0.0001894 1.6714673E-05 -0.0707185216.5 0.0000 -0.518009839 0.0000 -0.00731 -0.0006451185 0.05748185

Page 170: Hojas de Calculo Fransua

16.6 0.0000 1.6676469016 0.0000 0.0114163 0.0010074839 -0.0244298116.7 0.0000 -2.156243004 0.0000 -0.011209 -0.000989153 -0.0155029316.8 0.0000 1.8461843535 0.0000 0.0070037 0.0006180702 0.047647416.9 0.0000 -0.893236419 0.0000 -0.00053 -4.677549E-05 -0.06094431

17 0.0000 -0.325649791 0.0000 -0.005769 -0.0005091529 0.0516967617.1 0.0000 1.3595850301 0.0000 0.0096516 0.0008517442 -0.0244788217.2 0.0000 -1.849161413 0.0000 -0.009864 -0.0008704523 -0.0099651117.3 0.0000 1.6498591866 0.0000 0.0065358 0.0005767822 0.038909817.4 0.0000 -0.871663158 0.0000 -0.001057 -9.331817E-05 -0.0523118117.5 0.0000 -0.174573016 0.0000 -0.004491 -0.0003963605 0.0462509617.6 0.0000 1.0995922477 0.0000 0.008122 0.0007167656 -0.0239884417.7 0.0000 -1.579361037 0.0000 -0.008644 -0.0007628105 -0.0056030817.8 0.0000 1.4672993872 0.0000 0.0060447 0.0005334408 0.0315281117.9 0.0000 -0.836737229 0.0000 -0.00143 -0.0001261661 -0.04472025

18 0.0000 -0.057667684 0.0000 -0.003437 -0.000303352 0.0411765318.1 0.0000 0.8811982537 0.0000 0.0068017 0.000600242 -0.0231046518.2 0.0000 -1.343291238 0.0000 -0.007544 -0.0006657689 -0.0022155718.3 0.0000 1.2989798752 0.0000 0.0055467 0.0004894947 0.0253208418.4 0.0000 -0.792563088 0.0000 -0.001678 -0.0001480504 -0.0380717418.5 0.0000 0.0311282785 0.0000 -0.002574 -0.000227163 0.0364894918.6 0.0000 0.6986615059 0.0000 0.0056663 0.0005000489 -0.0219452518.7 0.0000 -1.137566525 0.0000 -0.006558 -0.0005787557 0.0003691618.8 0.0000 1.1449497058 0.0000 0.0050543 0.000446042 0.0201267918.9 0.0000 -0.742413833 0.0000 -0.001827 -0.0001612524 -0.03227268

19 0.0000 0.0969602219 0.0000 -0.001872 -0.0001652111 0.0321935119.1 0.0000 0.5469098819 0.0000 0.004694 0.0004142439 -0.0206044119.2 0.0000 -0.958997991 0.0000 -0.005679 -0.0005011266 0.00229719.3 0.0000 1.0049379345 0.0000 0.0045767 0.0004038945 0.0158034219.4 0.0000 -0.688869454 0.0000 -0.0019 -0.0001676676 -0.0272346719.5 0.0000 0.1441761375 0.0000 -0.001306 -0.000115256 0.028282919.6 0.0000 0.4214818249 0.0000 0.0038648 0.0003410619 -0.0191565419.7 0.0000 -0.804612622 0.0000 -0.004897 -0.0004321971 0.0036913619.8 0.0000 0.8784397919 0.0000 0.0041205 0.000363632 0.0122252219.9 0.0000 -0.633935293 0.0000 -0.001913 -0.0001688619 -0.0228751

20 0.0000 0.1764332266 0.0000 -0.000854 -7.536119E-05 0.02474512

Page 171: Hojas de Calculo Fransua

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo0.9468690624 0.0353249124 0.94686906248.8249400608 9.3285246893 9.3285246893270.56990459 327.24757989 327.24757989

62.8318530720.01591549436.2831853072

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

176.49880122 0 0 0 0.0000 0 5.0000 5-503.74638111 8.8249400608 0.441247003 0.1 5.0000 250.0566 3.6603 8.256614597.81748448 1.2875011272 0.9468690624 0.2 8.6603 -837.3589 1.3397 -9.057642

-485.45938555 -1.546382638 0.9339249869 0.3 10.0000 2233.47 -1.3397 27.9842218.45569724 1.2376385444 0.9184877823 0.4 8.6603 -6244.01 -3.6603 -85.55451146.30120004 -9.328524689 0.513943475 0.5 5.0000 17064.35 -5.0000 216.8326

-214.44777875 -1.656843059 -0.035324912 0.6 0.0000 -46890.61 0.0000 -612.917825.567310106 2.6075096357 0.0122084164 0.7 0.0000 129001.2 0.0000 1683.659161.84604437 -2.572161102 0.0139758431 0.8 0.0000 -354259 0.0000 -4622.764

-280.84419589 1.618835885 -0.033690418 0.9 0.0000 972642.8 0.0000 12691.83292.70976101 -0.140074705 0.0402476413 1 0.0000 -2670386 0.0000 -34845.27

-199.21773511 -1.305707038 -0.032041446 1.1 0.0000 7331509 0.0000 95667.1739.72573012 2.2032619234 0.0128362984 1.2 0.0000 -2E+07 0.0000 -262653

125.01416279 -2.262369365 0.0098809264 1.3 0.0000 55262633 0.0000 721109.3-235.78601805 1.5089939931 -0.027787842 1.4 0.0000 -1.52E+08 0.0000 -1979795256.00301971 -0.258235412 0.0347500868 1.5 0.0000 4.17E+08 0.0000 5435497

-183.52181828 -1.014614735 -0.028892421 1.6 0.0000 -1.14E+09 0.0000-1492307749.47404484 1.8530660141 0.0130301435 1.7 0.0000 3.14E+09 0.0000 40971085

94.737702257 -1.981641909 0.0066013487 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08-196.96342961 1.3942375228 -0.022768871 1.9 0.0000 2.37E+10 0.0000 3.09E+08222.99977541 -0.341169413 0.0298845349 2 0.0000 -6.5E+10 0.0000 -8.48E+08-167.8149646 -0.774759059 -0.025911889 2.1 0.0000 1.78E+11 0.0000 2.33E+0955.709582315 1.5508918347 0.01289475 2.2 0.0000 -4.9E+11 0.0000 -6.39E+0970.022736726 -1.728726385 0.0040030225 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-163.64682248 1.2782713465 -0.018519729 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10193.48084084 -0.395935209 0.0255970774 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-152.43812633 -0.578440846 -0.023121725 2.6 0.0000 -2.78E+13 0.0000 -3.63E+1159.180019517 1.2911892419 0.0125156944 2.7 0.0000 7.64E+13 0.0000 9.97E+11

Δůi

L20
el tiempo lo vamos a variar
M20
ESTE ES EL DATO QUE VA A VARIAR
O20
este dato no es igual al de la segunda columna?
I21
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N21
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 172: Hojas de Calculo Fransua

50.005129992 -1.50208601 0.001970856 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12-135.17121215 1.1638962127 -0.014938634 2.9 0.0000 5.76E+14 0.0000 7.51E+12167.20703388 -0.428425672 0.0218348931 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-137.63954777 -0.418956471 -0.020534214 3.1 0.0000 4.34E+15 0.0000 5.66E+1360.504855526 1.0688870361 0.0119623142 3.2 0.0000 -1.19E+16 0.0000 -1.56E+1433.936556654 -1.300004069 0.0004064625 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-110.93433163 1.0531754347 -0.011934969 3.4 0.0000 -9E+16 0.0000 -1.17E+15143.92934779 -0.44353381 0.018547112 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-123.59269591 -0.290492248 -0.018154191 3.6 0.0000 -6.77E+17 0.0000 -8.84E+1560.194253492 0.8793819088 0.0112902922 3.7 0.0000 1.86E+18 0.0000 2.43E+1621.171539072 -1.120666055 -0.000773915 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-90.393853324 0.9475756086 -0.009428438 3.9 0.0000 1.4E+19 0.0000 1.83E+17123.39677953 -0.44529844 0.0156854209 4 0.0000 -3.85E+19 0.0000 -5E+17

-110.41129936 -0.188026178 -0.01598081 4.1 0.0000 1.06E+20 0.0000 1.38E+1858.665506252 0.7185200914 0.0105438857 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1811.155524349 -0.962223294 -0.001641274 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-73.064017866 0.8480848499 -0.007348197 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19105.36223572 -0.437031682 0.0132044617 4.5 0.0000 6E+21 0.0000 7.83E+19

-98.161897909 -0.107237321 -0.014008988 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2056.257367707 0.5825739308 0.0097578421 4.7 0.0000 4.52E+22 0.0000 5.9E+203.4139969792 -0.822841328 -0.002255528 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-58.511891265 0.7553116478 -0.005632012 4.9 0.0000 3.41E+23 0.0000 4.45E+2189.586871524 -0.421430091 0.0110620661 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-86.874257258 -0.044422816 -0.012230579 5.1 0.0000 2.57E+24 0.0000 3.35E+2253.242477178 0.4682151712 0.0089590384 5.2 0.0000 -7.06E+24 0.0000 -9.21E+22

-2.4573984606 -0.700735845 -0.002666995 5.3 0.0000 1.94E+25 0.0000 2.53E+23-46.353424286 0.6695670745 -0.004225434 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2375.843162644 -0.400671143 0.0092193628 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-76.549960907 0.003577557 -0.010635317 5.6 0.0000 -4E+26 0.0000 -5.23E+2449.838088031 0.372486344 0.0081678785 5.7 0.0000 1.1E+27 0.0000 1.44E+25-6.801765456 -0.594198513 -0.00291773 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-36.249448604 0.5909327591 -0.003081018 5.9 0.0000 8.3E+27 0.0000 1.08E+2663.916962229 -0.376496672 0.0076407867 6 0.0000 -2.28E+28 0.0000 -3E+26

-67.169451667 0.0394495782 -0.009211568 6.1 0.0000 6.25E+28 0.0000 8.16E+2646.21529528 0.2927713565 0.0073994788 6.2 0.0000 -1.72E+29 0.0000 -2.24E+27

-9.9089460642 -0.501614684 -0.003042688 6.3 0.0000 4.71E+29 0.0000 6.15E+27-27.901711787 0.5193167353 -0.002157585 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2853.608753346 -0.350284738 0.0062940148 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-58.697760507 0.0654658676 -0.007946929 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2942.506940355 0.2267661147 0.0066646704 6.7 0.0000 2.68E+31 0.0000 3.49E+29

-12.022652113 -0.421474646 -0.003070756 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29-21.049026753 0.4544990057 -0.001419538 6.9 0.0000 2.02E+32 0.0000 2.63E+3044.734271962 -0.323111286 0.0051498478 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-51.089128932 0.0835406827 -0.006828682 7.1 0.0000 1.52E+33 0.0000 1.99E+3138.814354918 0.1724498029 0.005970842 7.2 0.0000 -4.18E+33 0.0000 -5.45E+31

-13.346799287 -0.352379778 -0.003025657 7.3 0.0000 1.15E+34 0.0000 1.5E+32-15.463589859 0.3961684234 -0.000836224 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3237.124645096 -0.295802833 0.004182055 7.5 0.0000 8.65E+34 0.0000 1.13E+33

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-44.290703155 0.0952786727 -0.005844153 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3335.213090021 0.1280572753 0.0053226444 7.7 0.0000 6.52E+35 0.0000 8.5E+33

-14.051107836 -0.293044779 -0.002926731 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34-10.947504582 0.3439522765 -0.000381356 7.9 0.0000 4.91E+36 0.0000 6.41E+3430.626162865 -0.268981289 0.0033671935 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-38.245453556 0.1020180595 -0.004980968 8.1 0.0000 3.7E+37 0.0000 4.83E+3531.757761977 0.0920528734 0.0047225787 8.2 0.0000 -1E+38 0.0000 -1.33E+36

-14.276033441 -0.242296892 -0.002789622 8.3 0.0000 2.79E+38 0.0000 3.64E+36-7.3295340058 0.2974397703 -3.24783E-05 8.4 0.0000 -7.66E+38 0.0000 -1E+3725.099781278 -0.24310194 0.0026844132 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-32.894451089 0.1048687129 -0.004227248 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3728.486132361 0.0631058755 0.0041714813 8.7 0.0000 1.59E+40 0.0000 2.07E+38-14.13709024 -0.199072898 -0.00262687 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38

-4.4620946154 0.2562004339 0.0002295069 8.9 0.0000 1.2E+41 0.0000 1.56E+3920.42043406 -0.218485477 0.0021152548 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-28.178613042 0.104745585 -0.00357174 9.1 0.0000 9.01E+41 0.0000 1.18E+4025.422526586 0.0400676975 0.0036689243 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40

-13.728625533 -0.162414513 -0.002448416 9.3 0.0000 6.79E+42 0.0000 8.86E+40-2.2184955293 0.2197983296 0.0004207744 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4116.476216283 -0.195344881 0.0016434468 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-24.040013817 0.1023979458 -0.0030039 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4222.5806835 0.021950896 0.0032135421 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-13.127102554 -0.13146267 -0.002262047 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-0.4904210064 0.1878028121 0.0005549606 9.9 0.0000 2.91E+45 0.0000 3.8E+43

13.16748957 -0.173807884 0.001254707 10 0.0000 -8E+45 0.0000 -1E+44-20.422841691 0.0984348475 -0.002513945 10.1 0.0000 2.19E+46 0.0000 2.86E+44

19.96611749 0.0079099734 0.0028032962 10.2 0.0000 -6E+46 0.0000 -7.85E+44-12.393944139 -0.105451111 -0.002073761 10.3 0.0000 1.65E+47 0.0000 2.16E+450.8143506511 0.1597964725 0.0006435074 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4510.405947819 -0.153935619 0.0009365501 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-17.274069851 0.093347214 -0.00209287 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4617.578064641 -0.002776055 0.0024356878 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-11.577986292 -0.083699585 -0.001888094 10.8 0.0000 -2.58E+49 0.0000 -3.36E+471.7740020284 0.1353808031 0.0006959667 10.9 0.0000 7.08E+49 0.0000 9.23E+478.1136734818 -0.135738022 0.0006781058 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-14.543898993 0.087526928 -0.001732449 11.1 0.0000 5.33E+50 0.0000 6.96E+4815.411075456 -0.010719397 0.0021079276 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49-10.71758677 -0.0656069 -0.001708387 11.3 0.0000 4.02E+51 0.0000 5.25E+492.4545178991 0.1141800326 0.0007202694 11.4 0.0000 -1.1E+52 0.0000 -1.44E+506.2222070931 -0.119186479 0.0004699471 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-12.186019297 0.0812832594 -0.001425214 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5113.456308598 -0.016437613 0.0018170685 11.7 0.0000 2.28E+53 0.0000 2.98E+51-9.842429892 -0.050644019 -0.001537013 11.8 0.0000 -6.27E+53 0.0000 -8.18E+512.911326885 0.0958435089 0.0007229614 11.9 0.0000 1.72E+54 0.0000 2.25E+52

4.6716467534 -0.104224113 0.0003039312 12 0.0000 -4.73E+54 0.0000 -6.17E+52-10.157731494 0.0748569469 -0.001164427 12.1 0.0000 1.3E+55 0.0000 1.69E+53

11.70257284 -0.02036623 0.0015601087 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53-8.9750649809 -0.03834734 -0.00137557 12.3 0.0000 9.78E+55 0.0000 1.28E+54

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3.1907582473 0.0800469432 0.0007094104 12.4 0.0000 -2.69E+56 0.0000 -3.51E+543.4097894365 -0.09077411 0.000173052 12.5 0.0000 7.38E+56 0.0000 9.62E+54-8.419959793 0.0684322203 -0.000944042 12.6 0.0000 -2E+57 0.0000 -2.64E+5510.137158021 -0.022869967 0.0013340702 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-8.1322121838 -0.028312243 -0.00122504 12.8 0.0000 -1.53E+58 0.0000 -2E+563.3313288571 0.0664927734 0.0006839863 12.9 0.0000 4.19E+58 0.0000 5.47E+562.3913221123 -0.078746377 7.130609E-05 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-6.9371835418 0.0621470213 -0.000758662 13.1 0.0000 3.16E+59 0.0000 4.12E+578.7464900822 -0.024252652 0.0011360568 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-7.3258659629 -0.020186998 -0.001085926 13.3 0.0000 2.38E+60 0.0000 3.11E+583.3648752694 0.0549098615 0.0006502174 13.4 0.0000 -6.54E+60 0.0000 -8.53E+581.5770675929 -0.068042814 -6.43017E-06 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-5.6773094921 0.0561016546 -0.000603488 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.5166402448 -0.024765972 0.000963296 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-6.56422329 -0.013667061 -0.000958356 13.8 0.0000 -3.71E+62 0.0000 -4.85E+603.3175454135 0.0450526971 0.0006109261 13.9 0.0000 1.02E+63 0.0000 1.33E+61

0.933287604 -0.058561438 -6.45109E-05 14 0.0000 -2.8E+63 0.0000 -3.65E+61-4.6115023363 0.0503660774 -0.000474279 14.1 0.0000 7.69E+63 0.0000 1E+626.4337139878 -0.024617144 0.0008131677 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-5.8524605714 -0.008489782 -0.000842179 14.3 0.0000 5.79E+64 0.0000 7.56E+623.2106637923 0.0367002503 0.0005683448 14.4 0.0000 -1.59E+65 0.0000 -2.08E+630.4310437173 -0.050199556 -0.00010662 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-3.7139876389 0.0449860126 -0.000367298 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.4841416303 -0.023975615 0.0006832222 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-5.1933805519 -0.004429542 -0.000737036 14.8 0.0000 -9E+66 0.0000 -1.18E+653.0614833187 0.029654584 0.0005242165 14.9 0.0000 2.48E+67 0.0000 3.24E+650.0456153819 -0.042856151 -0.000135862 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-2.9618383378 0.0399880483 -0.000279267 15.1 0.0000 1.87E+68 0.0000 2.44E+664.6548889626 -0.0229789 0.0005711904 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-4.5879479139 -0.001293317 -0.00064242 15.3 0.0000 1.41E+69 0.0000 1.84E+672.8838360612 0.0237393188 0.0004798797 15.4 0.0000 -3.87E+69 0.0000 -5.05E+67

-0.2440267544 -0.036433638 -0.000154836 15.5 0.0000 1.06E+70 0.0000 1.39E+68-2.3347535368 0.03538387 -0.000207325 15.6 0.0000 -2.92E+70 0.0000 -3.81E+683.9336034648 -0.021737636 0.000474987 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-4.0357299824 0.0010833537 -0.000557727 15.8 0.0000 -2.2E+71 0.0000 -2.87E+692.6886942683 0.0187980179 0.0004363414 15.9 0.0000 6.04E+71 0.0000 7.88E+69

-0.4556947707 -0.030839104 -0.000165713 16 0.0000 -1.66E+72 0.0000 -2.16E+70-1.814836289 0.0311737498 -0.000148981 16.1 0.0000 4.55E+72 0.0000 5.94E+703.3087091364 -0.02033995 0.0003927095 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71-3.535256872 0.002839993 -0.000482288 16.3 0.0000 3.43E+73 0.0000 4.48E+712.4846521164 0.014692549 0.0003943387 16.4 0.0000 -9.42E+73 0.0000 -1.23E+72-0.604407688 -0.025985133 -0.00017029 16.5 0.0000 2.59E+74 0.0000 3.37E+72

-1.3863754082 0.0273494068 -0.000102077 16.6 0.0000 -7.1E+74 0.0000 -9.26E+722.7694607967 -0.018855208 0.0003226332 16.7 0.0000 1.95E+75 0.0000 2.54E+73-3.084313547 0.0040944459 -0.000415405 16.8 0.0000 -5.35E+75 0.0000 -7E+732.2783377124 0.0113014626 0.0003543905 16.9 0.0000 1.47E+76 0.0000 1.92E+74

-0.7027693189 -0.021790312 -0.000170052 17 0.0000 -4E+76 0.0000 -5.26E+74-1.0356349956 0.0238963323 -6.4751E-05 17.1 0.0000 1.11E+77 0.0000 1.44E+75

Page 175: Hojas de Calculo Fransua

2.3059668631 -0.017337239 0.0002632036 17.2 0.0000 -3E+77 0.0000 -4E+75-2.6801745988 0.0049457835 -0.000356369 17.3 0.0000 8.35E+77 0.0000 1.09E+762.0747639899 0.0085184191 0.000316841 17.4 0.0000 -2.29E+78 0.0000 -3E+76

-0.7613032566 -0.018179476 -0.000166212 17.5 0.0000 6.29E+78 0.0000 8.21E+76-0.7506542775 0.0207956659 -3.54023E-05 17.6 0.0000 -1.73E+79 0.0000 -2.25E+771.9091880301 -0.015827069 0.0002130275 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.3197910685 0.0054768836 -0.000304482 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.877626286 0.0062506844 0.0002818966 17.9 0.0000 3.57E+80 0.0000 4.66E+78

-0.7887485513 -0.015083754 -0.000159757 18 0.0000 -9.81E+80 0.0000 -1.28E+79-0.5210594731 0.0180256944 -1.26598E-05 18.1 0.0000 2.69E+81 0.0000 3.52E+791.5709179284 -0.014355258 0.000170862 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-1.9999373315 0.0057567114 -0.000259065 18.3 0.0000 2.03E+82 0.0000 2.65E+801.6895535771 0.0044177112 0.0002496557 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80-0.792319578 -0.012440477 -0.000151483 18.5 0.0000 1.53E+83 0.0000 2E+81

-0.3378887257 0.0155630352 4.645383E-06 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.2837507051 -0.012943868 0.0001356037 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.7173249074 0.0058423278 -0.000219473 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.5123195984 0.0029498134 0.0002201338 18.9 0.0000 8.7E+84 0.0000 1.13E+83

-0.7779334892 -0.010192966 -0.000142024 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.193430585 0.0133835593 1.750579E-05 19.1 0.0000 6.56E+85 0.0000 8.55E+831.0410395059 -0.011608119 0.0001062778 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.4686890504 0.0057806493 -0.000185096 19.3 0.0000 4.94E+86 0.0000 6.45E+841.3470193747 0.0017869401 0.0001932838 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.7504084946 -0.008290253 -0.000131882 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.0810761173 0.0114630981 2.676044E-05 19.6 0.0000 -1E+88 0.0000 -1.33E+860.8368490382 -0.010357782 8.202627E-05 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.2508530879 0.005609985 -0.000155364 19.8 0.0000 -7.71E+88 0.0000 -1E+871.1942160435 0.0008775489 0.0001690131 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.7136360215 -0.006686739 -0.000121446 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo0.9468690624 0.0353249124 0.94686906248.8249400608 9.3285246893 9.3285246893270.56990459 327.24757989 327.24757989

62.8318530720.01591549436.2831853072

NO ESTABLE

Δůi

Page 176: Hojas de Calculo Fransua

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

176.49880122 0 0 0 0.0000 0 5.0000 5-503.74638111 8.8249400608 0.441247003 0.1 5.0000 250.0566 3.6603 8.256614597.81748448 1.2875011272 0.9468690624 0.2 8.6603 -837.3589 1.3397 -9.057642

-485.45938555 -1.546382638 0.9339249869 0.3 10.0000 2233.47 -1.3397 27.9842218.45569724 1.2376385444 0.9184877823 0.4 8.6603 -6244.01 -3.6603 -85.55451146.30120004 -9.328524689 0.513943475 0.5 5.0000 17064.35 -5.0000 216.8326

-214.44777875 -1.656843059 -0.035324912 0.6 0.0000 -46890.61 0.0000 -612.917825.567310106 2.6075096357 0.0122084164 0.7 0.0000 129001.2 0.0000 1683.659161.84604437 -2.572161102 0.0139758431 0.8 0.0000 -354259 0.0000 -4622.764

-280.84419589 1.618835885 -0.033690418 0.9 0.0000 972642.8 0.0000 12691.83292.70976101 -0.140074705 0.0402476413 1 0.0000 -2670386 0.0000 -34845.27

-199.21773511 -1.305707038 -0.032041446 1.1 0.0000 7331509 0.0000 95667.1739.72573012 2.2032619234 0.0128362984 1.2 0.0000 -2E+07 0.0000 -262653

125.01416279 -2.262369365 0.0098809264 1.3 0.0000 55262633 0.0000 721109.3-235.78601805 1.5089939931 -0.027787842 1.4 0.0000 -1.52E+08 0.0000 -1979795256.00301971 -0.258235412 0.0347500868 1.5 0.0000 4.17E+08 0.0000 5435497

-183.52181828 -1.014614735 -0.028892421 1.6 0.0000 -1.14E+09 0.0000-1492307749.47404484 1.8530660141 0.0130301435 1.7 0.0000 3.14E+09 0.0000 40971085

94.737702257 -1.981641909 0.0066013487 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08-196.96342961 1.3942375228 -0.022768871 1.9 0.0000 2.37E+10 0.0000 3.09E+08222.99977541 -0.341169413 0.0298845349 2 0.0000 -6.5E+10 0.0000 -8.48E+08-167.8149646 -0.774759059 -0.025911889 2.1 0.0000 1.78E+11 0.0000 2.33E+0955.709582315 1.5508918347 0.01289475 2.2 0.0000 -4.9E+11 0.0000 -6.39E+0970.022736726 -1.728726385 0.0040030225 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-163.64682248 1.2782713465 -0.018519729 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10193.48084084 -0.395935209 0.0255970774 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-152.43812633 -0.578440846 -0.023121725 2.6 0.0000 -2.78E+13 0.0000 -3.63E+1159.180019517 1.2911892419 0.0125156944 2.7 0.0000 7.64E+13 0.0000 9.97E+1150.005129992 -1.50208601 0.001970856 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-135.17121215 1.1638962127 -0.014938634 2.9 0.0000 5.76E+14 0.0000 7.51E+12167.20703388 -0.428425672 0.0218348931 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-137.63954777 -0.418956471 -0.020534214 3.1 0.0000 4.34E+15 0.0000 5.66E+1360.504855526 1.0688870361 0.0119623142 3.2 0.0000 -1.19E+16 0.0000 -1.56E+1433.936556654 -1.300004069 0.0004064625 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-110.93433163 1.0531754347 -0.011934969 3.4 0.0000 -9E+16 0.0000 -1.17E+15143.92934779 -0.44353381 0.018547112 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-123.59269591 -0.290492248 -0.018154191 3.6 0.0000 -6.77E+17 0.0000 -8.84E+1560.194253492 0.8793819088 0.0112902922 3.7 0.0000 1.86E+18 0.0000 2.43E+1621.171539072 -1.120666055 -0.000773915 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-90.393853324 0.9475756086 -0.009428438 3.9 0.0000 1.4E+19 0.0000 1.83E+17123.39677953 -0.44529844 0.0156854209 4 0.0000 -3.85E+19 0.0000 -5E+17

-110.41129936 -0.188026178 -0.01598081 4.1 0.0000 1.06E+20 0.0000 1.38E+1858.665506252 0.7185200914 0.0105438857 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1811.155524349 -0.962223294 -0.001641274 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-73.064017866 0.8480848499 -0.007348197 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19105.36223572 -0.437031682 0.0132044617 4.5 0.0000 6E+21 0.0000 7.83E+19

L242
el tiempo lo vamos a variar
M242
ESTE ES EL DATO QUE VA A VARIAR
O242
este dato no es igual al de la segunda columna?
I243
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N243
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 177: Hojas de Calculo Fransua

-98.161897909 -0.107237321 -0.014008988 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2056.257367707 0.5825739308 0.0097578421 4.7 0.0000 4.52E+22 0.0000 5.9E+203.4139969792 -0.822841328 -0.002255528 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-58.511891265 0.7553116478 -0.005632012 4.9 0.0000 3.41E+23 0.0000 4.45E+2189.586871524 -0.421430091 0.0110620661 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-86.874257258 -0.044422816 -0.012230579 5.1 0.0000 2.57E+24 0.0000 3.35E+2253.242477178 0.4682151712 0.0089590384 5.2 0.0000 -7.06E+24 0.0000 -9.21E+22

-2.4573984606 -0.700735845 -0.002666995 5.3 0.0000 1.94E+25 0.0000 2.53E+23-46.353424286 0.6695670745 -0.004225434 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2375.843162644 -0.400671143 0.0092193628 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-76.549960907 0.003577557 -0.010635317 5.6 0.0000 -4E+26 0.0000 -5.23E+2449.838088031 0.372486344 0.0081678785 5.7 0.0000 1.1E+27 0.0000 1.44E+25-6.801765456 -0.594198513 -0.00291773 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-36.249448604 0.5909327591 -0.003081018 5.9 0.0000 8.3E+27 0.0000 1.08E+2663.916962229 -0.376496672 0.0076407867 6 0.0000 -2.28E+28 0.0000 -3E+26

-67.169451667 0.0394495782 -0.009211568 6.1 0.0000 6.25E+28 0.0000 8.16E+2646.21529528 0.2927713565 0.0073994788 6.2 0.0000 -1.72E+29 0.0000 -2.24E+27

-9.9089460642 -0.501614684 -0.003042688 6.3 0.0000 4.71E+29 0.0000 6.15E+27-27.901711787 0.5193167353 -0.002157585 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2853.608753346 -0.350284738 0.0062940148 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-58.697760507 0.0654658676 -0.007946929 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2942.506940355 0.2267661147 0.0066646704 6.7 0.0000 2.68E+31 0.0000 3.49E+29

-12.022652113 -0.421474646 -0.003070756 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29-21.049026753 0.4544990057 -0.001419538 6.9 0.0000 2.02E+32 0.0000 2.63E+3044.734271962 -0.323111286 0.0051498478 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-51.089128932 0.0835406827 -0.006828682 7.1 0.0000 1.52E+33 0.0000 1.99E+3138.814354918 0.1724498029 0.005970842 7.2 0.0000 -4.18E+33 0.0000 -5.45E+31

-13.346799287 -0.352379778 -0.003025657 7.3 0.0000 1.15E+34 0.0000 1.5E+32-15.463589859 0.3961684234 -0.000836224 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3237.124645096 -0.295802833 0.004182055 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-44.290703155 0.0952786727 -0.005844153 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3335.213090021 0.1280572753 0.0053226444 7.7 0.0000 6.52E+35 0.0000 8.5E+33

-14.051107836 -0.293044779 -0.002926731 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34-10.947504582 0.3439522765 -0.000381356 7.9 0.0000 4.91E+36 0.0000 6.41E+3430.626162865 -0.268981289 0.0033671935 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-38.245453556 0.1020180595 -0.004980968 8.1 0.0000 3.7E+37 0.0000 4.83E+3531.757761977 0.0920528734 0.0047225787 8.2 0.0000 -1E+38 0.0000 -1.33E+36

-14.276033441 -0.242296892 -0.002789622 8.3 0.0000 2.79E+38 0.0000 3.64E+36-7.3295340058 0.2974397703 -3.24783E-05 8.4 0.0000 -7.66E+38 0.0000 -1E+3725.099781278 -0.24310194 0.0026844132 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-32.894451089 0.1048687129 -0.004227248 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3728.486132361 0.0631058755 0.0041714813 8.7 0.0000 1.59E+40 0.0000 2.07E+38-14.13709024 -0.199072898 -0.00262687 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38

-4.4620946154 0.2562004339 0.0002295069 8.9 0.0000 1.2E+41 0.0000 1.56E+3920.42043406 -0.218485477 0.0021152548 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-28.178613042 0.104745585 -0.00357174 9.1 0.0000 9.01E+41 0.0000 1.18E+4025.422526586 0.0400676975 0.0036689243 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40

-13.728625533 -0.162414513 -0.002448416 9.3 0.0000 6.79E+42 0.0000 8.86E+40

Page 178: Hojas de Calculo Fransua

-2.2184955293 0.2197983296 0.0004207744 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4116.476216283 -0.195344881 0.0016434468 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-24.040013817 0.1023979458 -0.0030039 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4222.5806835 0.021950896 0.0032135421 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-13.127102554 -0.13146267 -0.002262047 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-0.4904210064 0.1878028121 0.0005549606 9.9 0.0000 2.91E+45 0.0000 3.8E+43

13.16748957 -0.173807884 0.001254707 10 0.0000 -8E+45 0.0000 -1E+44-20.422841691 0.0984348475 -0.002513945 10.1 0.0000 2.19E+46 0.0000 2.86E+44

19.96611749 0.0079099734 0.0028032962 10.2 0.0000 -6E+46 0.0000 -7.85E+44-12.393944139 -0.105451111 -0.002073761 10.3 0.0000 1.65E+47 0.0000 2.16E+450.8143506511 0.1597964725 0.0006435074 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4510.405947819 -0.153935619 0.0009365501 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-17.274069851 0.093347214 -0.00209287 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4617.578064641 -0.002776055 0.0024356878 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-11.577986292 -0.083699585 -0.001888094 10.8 0.0000 -2.58E+49 0.0000 -3.36E+471.7740020284 0.1353808031 0.0006959667 10.9 0.0000 7.08E+49 0.0000 9.23E+478.1136734818 -0.135738022 0.0006781058 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-14.543898993 0.087526928 -0.001732449 11.1 0.0000 5.33E+50 0.0000 6.96E+4815.411075456 -0.010719397 0.0021079276 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49-10.71758677 -0.0656069 -0.001708387 11.3 0.0000 4.02E+51 0.0000 5.25E+492.4545178991 0.1141800326 0.0007202694 11.4 0.0000 -1.1E+52 0.0000 -1.44E+506.2222070931 -0.119186479 0.0004699471 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-12.186019297 0.0812832594 -0.001425214 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5113.456308598 -0.016437613 0.0018170685 11.7 0.0000 2.28E+53 0.0000 2.98E+51-9.842429892 -0.050644019 -0.001537013 11.8 0.0000 -6.27E+53 0.0000 -8.18E+512.911326885 0.0958435089 0.0007229614 11.9 0.0000 1.72E+54 0.0000 2.25E+52

4.6716467534 -0.104224113 0.0003039312 12 0.0000 -4.73E+54 0.0000 -6.17E+52-10.157731494 0.0748569469 -0.001164427 12.1 0.0000 1.3E+55 0.0000 1.69E+53

11.70257284 -0.02036623 0.0015601087 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53-8.9750649809 -0.03834734 -0.00137557 12.3 0.0000 9.78E+55 0.0000 1.28E+543.1907582473 0.0800469432 0.0007094104 12.4 0.0000 -2.69E+56 0.0000 -3.51E+543.4097894365 -0.09077411 0.000173052 12.5 0.0000 7.38E+56 0.0000 9.62E+54-8.419959793 0.0684322203 -0.000944042 12.6 0.0000 -2E+57 0.0000 -2.64E+5510.137158021 -0.022869967 0.0013340702 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-8.1322121838 -0.028312243 -0.00122504 12.8 0.0000 -1.53E+58 0.0000 -2E+563.3313288571 0.0664927734 0.0006839863 12.9 0.0000 4.19E+58 0.0000 5.47E+562.3913221123 -0.078746377 7.130609E-05 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-6.9371835418 0.0621470213 -0.000758662 13.1 0.0000 3.16E+59 0.0000 4.12E+578.7464900822 -0.024252652 0.0011360568 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-7.3258659629 -0.020186998 -0.001085926 13.3 0.0000 2.38E+60 0.0000 3.11E+583.3648752694 0.0549098615 0.0006502174 13.4 0.0000 -6.54E+60 0.0000 -8.53E+581.5770675929 -0.068042814 -6.43017E-06 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-5.6773094921 0.0561016546 -0.000603488 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.5166402448 -0.024765972 0.000963296 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-6.56422329 -0.013667061 -0.000958356 13.8 0.0000 -3.71E+62 0.0000 -4.85E+603.3175454135 0.0450526971 0.0006109261 13.9 0.0000 1.02E+63 0.0000 1.33E+61

0.933287604 -0.058561438 -6.45109E-05 14 0.0000 -2.8E+63 0.0000 -3.65E+61-4.6115023363 0.0503660774 -0.000474279 14.1 0.0000 7.69E+63 0.0000 1E+62

Page 179: Hojas de Calculo Fransua

6.4337139878 -0.024617144 0.0008131677 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62-5.8524605714 -0.008489782 -0.000842179 14.3 0.0000 5.79E+64 0.0000 7.56E+623.2106637923 0.0367002503 0.0005683448 14.4 0.0000 -1.59E+65 0.0000 -2.08E+630.4310437173 -0.050199556 -0.00010662 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-3.7139876389 0.0449860126 -0.000367298 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.4841416303 -0.023975615 0.0006832222 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-5.1933805519 -0.004429542 -0.000737036 14.8 0.0000 -9E+66 0.0000 -1.18E+653.0614833187 0.029654584 0.0005242165 14.9 0.0000 2.48E+67 0.0000 3.24E+650.0456153819 -0.042856151 -0.000135862 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-2.9618383378 0.0399880483 -0.000279267 15.1 0.0000 1.87E+68 0.0000 2.44E+664.6548889626 -0.0229789 0.0005711904 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-4.5879479139 -0.001293317 -0.00064242 15.3 0.0000 1.41E+69 0.0000 1.84E+672.8838360612 0.0237393188 0.0004798797 15.4 0.0000 -3.87E+69 0.0000 -5.05E+67

-0.2440267544 -0.036433638 -0.000154836 15.5 0.0000 1.06E+70 0.0000 1.39E+68-2.3347535368 0.03538387 -0.000207325 15.6 0.0000 -2.92E+70 0.0000 -3.81E+683.9336034648 -0.021737636 0.000474987 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-4.0357299824 0.0010833537 -0.000557727 15.8 0.0000 -2.2E+71 0.0000 -2.87E+692.6886942683 0.0187980179 0.0004363414 15.9 0.0000 6.04E+71 0.0000 7.88E+69

-0.4556947707 -0.030839104 -0.000165713 16 0.0000 -1.66E+72 0.0000 -2.16E+70-1.814836289 0.0311737498 -0.000148981 16.1 0.0000 4.55E+72 0.0000 5.94E+703.3087091364 -0.02033995 0.0003927095 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71-3.535256872 0.002839993 -0.000482288 16.3 0.0000 3.43E+73 0.0000 4.48E+712.4846521164 0.014692549 0.0003943387 16.4 0.0000 -9.42E+73 0.0000 -1.23E+72-0.604407688 -0.025985133 -0.00017029 16.5 0.0000 2.59E+74 0.0000 3.37E+72

-1.3863754082 0.0273494068 -0.000102077 16.6 0.0000 -7.1E+74 0.0000 -9.26E+722.7694607967 -0.018855208 0.0003226332 16.7 0.0000 1.95E+75 0.0000 2.54E+73-3.084313547 0.0040944459 -0.000415405 16.8 0.0000 -5.35E+75 0.0000 -7E+732.2783377124 0.0113014626 0.0003543905 16.9 0.0000 1.47E+76 0.0000 1.92E+74

-0.7027693189 -0.021790312 -0.000170052 17 0.0000 -4E+76 0.0000 -5.26E+74-1.0356349956 0.0238963323 -6.4751E-05 17.1 0.0000 1.11E+77 0.0000 1.44E+752.3059668631 -0.017337239 0.0002632036 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.6801745988 0.0049457835 -0.000356369 17.3 0.0000 8.35E+77 0.0000 1.09E+762.0747639899 0.0085184191 0.000316841 17.4 0.0000 -2.29E+78 0.0000 -3E+76

-0.7613032566 -0.018179476 -0.000166212 17.5 0.0000 6.29E+78 0.0000 8.21E+76-0.7506542775 0.0207956659 -3.54023E-05 17.6 0.0000 -1.73E+79 0.0000 -2.25E+771.9091880301 -0.015827069 0.0002130275 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.3197910685 0.0054768836 -0.000304482 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.877626286 0.0062506844 0.0002818966 17.9 0.0000 3.57E+80 0.0000 4.66E+78

-0.7887485513 -0.015083754 -0.000159757 18 0.0000 -9.81E+80 0.0000 -1.28E+79-0.5210594731 0.0180256944 -1.26598E-05 18.1 0.0000 2.69E+81 0.0000 3.52E+791.5709179284 -0.014355258 0.000170862 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-1.9999373315 0.0057567114 -0.000259065 18.3 0.0000 2.03E+82 0.0000 2.65E+801.6895535771 0.0044177112 0.0002496557 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80-0.792319578 -0.012440477 -0.000151483 18.5 0.0000 1.53E+83 0.0000 2E+81

-0.3378887257 0.0155630352 4.645383E-06 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.2837507051 -0.012943868 0.0001356037 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.7173249074 0.0058423278 -0.000219473 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.5123195984 0.0029498134 0.0002201338 18.9 0.0000 8.7E+84 0.0000 1.13E+83

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-0.7779334892 -0.010192966 -0.000142024 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.193430585 0.0133835593 1.750579E-05 19.1 0.0000 6.56E+85 0.0000 8.55E+831.0410395059 -0.011608119 0.0001062778 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.4686890504 0.0057806493 -0.000185096 19.3 0.0000 4.94E+86 0.0000 6.45E+841.3470193747 0.0017869401 0.0001932838 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.7504084946 -0.008290253 -0.000131882 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.0810761173 0.0114630981 2.676044E-05 19.6 0.0000 -1E+88 0.0000 -1.33E+860.8368490382 -0.010357782 8.202627E-05 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.2508530879 0.005609985 -0.000155364 19.8 0.0000 -7.71E+88 0.0000 -1E+871.1942160435 0.0008775489 0.0001690131 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.7136360215 -0.006686739 -0.000121446 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo0.9468875644 0.0352820186 0.94688756448.8258342142 9.3284380678 9.3284380678270.59051499 327.21171138 327.21171138

62.8318530720.0159154943922.96643966

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

176.31668428 0 0 0 0.0000 0 5.0000 5-503.62839567 8.8258342142 0.4412917107 0.1 5.0000 250.0566 3.6603 8.256614597.80222638 1.2860828593 0.9468875644 0.2 8.6603 -837.3589 1.3397 -9.057642

-485.54654065 -1.54497696 0.9339428593 0.3 10.0000 2233.47 -1.3397 27.9842218.60833983 1.2367475066 0.9185313867 0.4 8.6603 -6244.01 -3.6603 -85.55451146.14134348 -9.328438068 0.5139468586 0.5 5.0000 17064.35 -5.0000 216.8326

-214.33828803 -1.656139476 -0.035282019 0.6 0.0000 -46890.61 0.0000 -612.917825.54451621 2.6063118877 0.012226602 0.7 0.0000 129001.2 0.0000 1683.659

161.77885969 -2.570925339 0.0139959294 0.8 0.0000 -354259 0.0000 -4622.764-280.71611712 1.6180062287 -0.033650026 0.9 0.0000 972642.8 0.0000 12691.83292.57001808 -0.139925075 0.0402540315 1 0.0000 -2670386 0.0000 -34845.27

-199.11696397 -1.30516133 -0.032000289 1.1 0.0000 7331509 0.0000 95667.1739.69778323 2.2022551204 0.0128544008 1.2 0.0000 -2E+07 0.0000 -262653

124.96338127 -2.261287466 0.0099027835 1.3 0.0000 55262633 0.0000 721109.3-235.67909377 1.5082281719 -0.027750181 1.4 0.0000 -1.52E+08 0.0000 -1979795255.88134953 -0.258041815 0.0347591367 1.5 0.0000 4.17E+08 0.0000 5435497

Δůi

L464
el tiempo lo vamos a variar
M464
ESTE ES EL DATO QUE VA A VARIAR
O464
este dato no es igual al de la segunda columna?
I465
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N465
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 181: Hojas de Calculo Fransua

-183.42974736 -1.014199014 -0.028852905 1.6 0.0000 -1.14E+09 0.0000-1492307749.442840468 1.852223895 0.0130483393 1.7 0.0000 3.14E+09 0.0000 4097108594.700299048 -1.980698541 0.006624607 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-196.87465097 1.3935359997 -0.02273352 1.9 0.0000 2.37E+10 0.0000 3.09E+08222.89426036 -0.340947056 0.0298959271 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-167.73139207 -0.774449642 -0.025873908 2.1 0.0000 1.78E+11 0.0000 2.33E+0955.676610214 1.5501911856 0.0129131694 2.2 0.0000 -4.9E+11 0.0000 -6.39E+0969.996158354 -1.727907079 0.0040273747 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-163.57354531 1.277633084 -0.018486325 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10193.38969689 -0.395696101 0.0256105241 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-152.36271804 -0.578217706 -0.023085166 2.6 0.0000 -2.78E+13 0.0000 -3.63E+1159.146433474 1.290609631 0.01253443 2.7 0.0000 7.64E+13 0.0000 9.97E+1149.987230992 -1.50137726 0.0019960485 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-135.11112239 1.1633190713 -0.014906861 2.9 0.0000 5.76E+14 0.0000 7.51E+12167.12861547 -0.428179167 0.0218501343 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-137.57187768 -0.418802751 -0.020498962 3.1 0.0000 4.34E+15 0.0000 5.66E+1360.47153287 1.0684105551 0.0119814286 3.2 0.0000 -1.19E+16 0.0000 -1.56E+1433.92554333 -1.299393379 0.0004322874 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-110.88541222 1.0526564962 -0.011904557 3.4 0.0000 -9E+16 0.0000 -1.17E+15143.86214848 -0.443287073 0.0185639144 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-123.53227829 -0.290393829 -0.018120131 3.6 0.0000 -6.77E+17 0.0000 -8.84E+1560.161845611 0.8789929249 0.0113098242 3.7 0.0000 1.86E+18 0.0000 2.43E+1621.165919798 -1.120141956 -0.000747627 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-90.354353109 0.9471114342 -0.009399153 3.9 0.0000 1.4E+19 0.0000 1.83E+17123.33942955 -0.445056841 0.0157035762 4 0.0000 -3.85E+19 0.0000 -5E+17

-110.35761431 -0.187971295 -0.015947831 4.1 0.0000 1.06E+20 0.0000 1.38E+1858.634481298 0.7182050128 0.0105638552 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1811.154065855 -0.96177533 -0.001614661 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-73.032422532 0.8476716849 -0.007319843 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19105.3134971 -0.436799134 0.0132237847 4.5 0.0000 6E+21 0.0000 7.83E+19

-98.114411061 -0.107216225 -0.013976983 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2056.228046513 0.5823209866 0.0097782548 4.7 0.0000 4.52E+22 0.0000 5.9E+20

3.415686033 -0.822460029 -0.002228697 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21-58.486896478 0.7549455818 -0.00560442 4.9 0.0000 3.41E+23 0.0000 4.45E+21

89.5456317 -0.421209329 0.0110823929 5 0.0000 -9.36E+23 0.0000 -1.22E+22-86.832434955 -0.044427479 -0.012199447 5.1 0.0000 2.57E+24 0.0000 3.35E+2253.215063342 0.4680142081 0.008979889 5.2 0.0000 -7.06E+24 0.0000 -9.21E+22

-2.4533884739 -0.700412685 -0.002640035 5.3 0.0000 1.94E+25 0.0000 2.53E+23-46.333911065 0.6692441648 -0.004198461 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2375.808426905 -0.400463962 0.0092405492 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-76.513281502 0.0035537031 -0.010604964 5.6 0.0000 -4E+26 0.0000 -5.23E+2449.812692963 0.3723286384 0.0081891533 5.7 0.0000 1.1E+27 0.0000 1.44E+25

-6.7961035911 -0.593925853 -0.002890707 5.8 0.0000 -3E+27 0.0000 -3.94E+25-36.234460873 0.5906491237 -0.003054544 5.9 0.0000 8.3E+27 0.0000 1.08E+2663.887845556 -0.376304123 0.0076627062 6 0.0000 -2.28E+28 0.0000 -3E+26

-67.137413742 0.0394118652 -0.009181907 6.1 0.0000 6.25E+28 0.0000 8.16E+2646.191958952 0.2926494437 0.0074211587 6.2 0.0000 -1.72E+29 0.0000 -2.24E+27

-9.9021689671 -0.501385717 -0.003015655 6.3 0.0000 4.71E+29 0.0000 6.15E+27

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-27.890436067 0.5190686209 -0.00213151 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2853.584471927 -0.350107293 0.0063165567 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-58.669888593 0.065418587 -0.007917879 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2942.485648371 0.2266736333 0.0066867324 6.7 0.0000 2.68E+31 0.0000 3.49E+29

-12.015185709 -0.421283332 -0.003043753 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29-21.040773871 0.4542828367 -0.001393777 6.9 0.0000 2.02E+32 0.0000 2.63E+3044.714134663 -0.322948974 0.0051729159 7 0.0000 -5.54E+32 0.0000 -7.23E+30-51.06497723 0.0834872547 -0.00680017 7.1 0.0000 1.52E+33 0.0000 1.99E+3138.795052478 0.172381355 0.0059932604 7.2 0.0000 -4.18E+33 0.0000 -5.45E+31

-13.338977409 -0.352220782 -0.002998711 7.3 0.0000 1.15E+34 0.0000 1.5E+32-15.457778586 0.395980834 -0.000810708 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3237.108045067 -0.295655349 0.0042055658 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-44.269857686 0.0952217912 -0.005816112 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3335.195693245 0.1280083008 0.0053453925 7.7 0.0000 6.52E+35 0.0000 8.5E+33

-14.043188154 -0.292913412 -0.002899863 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34-10.94364704 0.3437901306 -0.000356027 7.9 0.0000 4.91E+36 0.0000 6.41E+3430.612569454 -0.268848087 0.0033910751 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-38.227533087 0.1019598162 -0.004953338 8.1 0.0000 3.7E+37 0.0000 4.83E+3531.742167009 0.0920195377 0.0047456293 8.2 0.0000 -1E+38 0.0000 -1.33E+36

-14.268211042 -0.242189045 -0.002762846 8.3 0.0000 2.79E+38 0.0000 3.64E+36-7.3272227396 0.2973001712 -7.28973E-06 8.4 0.0000 -7.66E+38 0.0000 -1E+37

25.08873232 -0.242982302 0.0027086037 8.5 0.0000 2.1E+39 0.0000 2.75E+37-32.879107118 0.104810704 -0.004199976 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3728.472222623 0.0630849699 0.0041948075 8.7 0.0000 1.59E+40 0.0000 2.07E+38

-14.129509134 -0.198984989 -0.002600193 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-4.4609911728 0.2560807268 0.0002545935 8.9 0.0000 1.2E+41 0.0000 1.56E+3920.411528636 -0.218378573 0.0021397012 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-28.165529089 0.1046890006 -0.003544777 9.1 0.0000 9.01E+41 0.0000 1.18E+4025.410178483 0.0400565514 0.0036925002 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40

-13.721388378 -0.162343428 -0.002421844 9.3 0.0000 6.79E+42 0.0000 8.86E+40-2.2183204253 0.2196960978 0.0004457898 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4116.469107978 -0.195249817 0.0016681039 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-24.028904194 0.1023436467 -0.002977205 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4222.56977084 0.0219472992 0.0032373427 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-13.120278829 -0.131405716 -0.002235578 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-0.4909449359 0.1877158694 0.0005799295 9.9 0.0000 2.91E+45 0.0000 3.8E+4313.161880246 -0.173723733 0.0012795363 10 0.0000 -8E+45 0.0000 -1E+44

-20.413449925 0.0983834292 -0.002487479 10.1 0.0000 2.19E+46 0.0000 2.86E+4419.956514857 0.0079121079 0.002827298 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-12.387576976 -0.105405967 -0.002047395 10.3 0.0000 1.65E+47 0.0000 2.16E+450.8133144739 0.1597228525 0.0006684493 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4510.401581912 -0.153861453 0.0009615192 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-17.266166872 0.0932990602 -0.0020666 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4617.569649898 -0.002769674 0.0024598689 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-11.572098164 -0.083664257 -0.001861828 10.8 0.0000 -2.58E+49 0.0000 -3.36E+471.7726045234 0.1353187461 0.0007208967 10.9 0.0000 7.08E+49 0.0000 9.23E+478.1103328197 -0.135672932 0.0007031874 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-14.537281186 0.0874822561 -0.001706346 11.1 0.0000 5.33E+50 0.0000 6.96E+48

Page 183: Hojas de Calculo Fransua

15.403731553 -0.010709974 0.0021322677 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49-10.712184193 -0.065579685 -0.001682215 11.3 0.0000 4.02E+51 0.0000 5.25E+492.4528798756 0.1141279717 0.0007451992 11.4 0.0000 -1.1E+52 0.0000 -1.44E+50

6.219706203 -0.119129588 0.0004951184 11.5 0.0000 3.03E+52 0.0000 3.96E+50-12.180506495 0.0812421571 -0.001399253 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5113.449924813 -0.016426113 0.0018415491 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-9.8375072902 -0.050623467 -0.00151093 11.8 0.0000 -6.27E+53 0.0000 -8.18E+512.9095439998 0.0958000554 0.0007478995 11.9 0.0000 1.72E+54 0.0000 2.25E+524.6698286462 -0.104174587 0.0003291729 12 0.0000 -4.73E+54 0.0000 -6.17E+52-10.15316497 0.074819403 -0.001138586 12.1 0.0000 1.3E+55 0.0000 1.69E+5311.697045577 -0.020353423 0.0015847127 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-8.9706078438 -0.038332219 -0.001349569 12.3 0.0000 9.78E+55 0.0000 1.28E+543.1889052602 0.0800108717 0.0007343632 12.4 0.0000 -2.69E+56 0.0000 -3.51E+543.4085218362 -0.090731167 0.0001983485 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-8.4162002957 0.0683981498 -0.000918302 12.6 0.0000 -2E+57 0.0000 -2.64E+5510.132391251 -0.022856457 0.0013587823 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-8.1281996214 -0.028301515 -0.001199116 12.8 0.0000 -1.53E+58 0.0000 -2E+563.3294632678 0.0664630073 0.0007089583 12.9 0.0000 4.19E+58 0.0000 5.47E+56

2.390494099 -0.078709288 9.664429E-05 13 0.0000 -1.15E+59 0.0000 -1.5E+57-6.9341094045 0.0621162858 -0.000733006 13.1 0.0000 3.16E+59 0.0000 4.12E+57

8.742395511 -0.024238906 0.0011608632 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58-7.3222727571 -0.020179793 -0.001060072 13.3 0.0000 2.38E+60 0.0000 3.11E+583.3630404125 0.0548854586 0.0006752116 13.4 0.0000 -6.54E+60 0.0000 -8.53E+58

1.57658663 -0.068010908 1.89391E-05 13.5 0.0000 1.79E+61 0.0000 2.34E+59-5.674814837 0.0560740785 -0.000577902 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.513137271 -0.024752346 0.0009881843 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-6.5610215246 -0.013662648 -0.000932565 13.8 0.0000 -3.71E+62 0.0000 -4.85E+603.3157730819 0.0450328364 0.000635944 13.9 0.0000 1.02E+63 0.0000 1.33E+610.9330769147 -0.058534101 -3.91192E-05 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-4.6094953903 0.0503414614 -0.000448751 14.1 0.0000 7.69E+63 0.0000 1E+626.4307295081 -0.0246039 0.0008381268 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-5.8496209102 -0.008487555 -0.000816446 14.3 0.0000 5.79E+64 0.0000 7.56E+623.2089764506 0.036684219 0.0005933872 14.4 0.0000 -1.59E+65 0.0000 -2.08E+630.4310399815 -0.05017623 -8.12133E-05 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-3.7123891687 0.0449641434 -0.000341818 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.4816097309 -0.023962943 0.0007082424 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-5.1908732272 -0.004429001 -0.000711355 14.8 0.0000 -9E+66 0.0000 -1.18E+653.0598959612 0.0296417659 0.0005492835 14.9 0.0000 2.48E+67 0.0000 3.24E+650.0457667207 -0.04283633 -0.000110445 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-2.9605802074 0.0399687073 -0.000253826 15.1 0.0000 1.87E+68 0.0000 2.44E+664.6527505333 -0.022966929 0.000596263 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-4.5857434757 -0.00129405 -0.000616786 15.3 0.0000 1.41E+69 0.0000 1.84E+672.8823577648 0.0237291831 0.0005049707 15.4 0.0000 -3.87E+69 0.0000 -5.05E+67

-0.2437625337 -0.03641687 -0.000129414 15.5 0.0000 1.06E+70 0.0000 1.39E+68-2.3337773886 0.0353668388 -0.000181915 15.6 0.0000 -2.92E+70 0.0000 -3.81E+683.9318057638 -0.021726449 0.0005001044 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-4.0337998526 0.0010816826 -0.000532134 15.8 0.0000 -2.2E+71 0.0000 -2.87E+692.6873294826 0.0187901094 0.0004614557 15.9 0.0000 6.04E+71 0.0000 7.88E+69

Page 184: Hojas de Calculo Fransua

-0.4553516984 -0.030824982 -0.000140288 16 0.0000 -1.66E+72 0.0000 -2.16E+70-1.8140923454 0.0311588153 -0.000123596 16.1 0.0000 4.55E+72 0.0000 5.94E+703.3072053267 -0.020329589 0.000417865 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.5335737412 0.0028376551 -0.000456732 16.3 0.0000 3.43E+73 0.0000 4.48E+712.4834017297 0.0146864788 0.000419475 16.4 0.0000 -9.42E+73 0.0000 -1.23E+72

-0.6040129483 -0.025973298 -0.000144866 16.5 0.0000 2.59E+74 0.0000 3.37E+72-1.385821389 0.0273363641 -7.67127E-05 16.6 0.0000 -7.1E+74 0.0000 -9.26E+722.7682094725 -0.018845691 0.000347821 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-3.0828516437 0.004091659 -0.000389881 16.8 0.0000 -5.35E+75 0.0000 -7E+732.2771999267 0.0112968999 0.0003795474 16.9 0.0000 1.47E+76 0.0000 1.92E+74

-0.7023443836 -0.021780445 -0.00014463 17 0.0000 -4E+76 0.0000 -5.26E+74-1.0352351466 0.0238849873 -3.94028E-05 17.1 0.0000 1.11E+77 0.0000 1.44E+752.3049315776 -0.017328557 0.0002884187 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.6789098582 0.0049427204 -0.000330873 17.3 0.0000 8.35E+77 0.0000 1.09E+762.0737350341 0.0085150837 0.0003420171 17.4 0.0000 -2.29E+78 0.0000 -3E+76

-0.7608648566 -0.018171294 -0.000140793 17.5 0.0000 6.29E+78 0.0000 8.21E+76-0.7503785012 0.0207858367 -1.00663E-05 17.6 0.0000 -1.73E+79 0.0000 -2.25E+771.9083368353 -0.0158192 0.0002382655 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.3187012226 0.0054736795 -0.000279011 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.8767009924 0.0062483399 0.0003070905 17.9 0.0000 3.57E+80 0.0000 4.66E+78-0.788309507 -0.015077011 -0.000134343 18 0.0000 -9.81E+80 0.0000 -1.28E+79

-0.5208825571 0.018017212 1.266693E-05 18.1 0.0000 2.69E+81 0.0000 3.52E+791.5702229335 -0.014348168 0.0001961191 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-1.9990019368 0.0057534707 -0.000233616 18.3 0.0000 2.03E+82 0.0000 2.65E+801.6887258432 0.0044161593 0.0002748658 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80

-0.7918895048 -0.012434957 -0.000126074 18.5 0.0000 1.53E+83 0.0000 2E+81-0.3377896588 0.0155557441 2.996526E-05 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.2831876583 -0.012937513 0.0001608768 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.7165253277 0.0058391295 -0.000194042 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.5115827533 0.0029488887 0.0002453585 18.9 0.0000 8.7E+84 0.0000 1.13E+83

-0.7775193953 -0.010188481 -0.000116621 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.193391955 0.0133773175 4.282075E-05 19.1 0.0000 6.56E+85 0.0000 8.55E+831.0405874031 -0.011602452 0.000131564 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.4680084038 0.0057775516 -0.000159681 19.3 0.0000 4.94E+86 0.0000 6.45E+841.3463664654 0.0017865048 0.0002185219 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.7500152845 -0.008286639 -0.000106485 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.0810835823 0.0114577764 5.207204E-05 19.6 0.0000 -1E+88 0.0000 -1.33E+860.8364897598 -0.010352752 0.0001073233 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.2502761702 0.0056070293 -0.000129963 19.8 0.0000 -7.71E+88 0.0000 -1E+871.193640055 0.0008774897 0.0001942631 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.7132669188 -0.006683856 -9.60552E-05 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo

Page 185: Hojas de Calculo Fransua

0.9469828653 0.0289088533 0.94698286538.803288824 9.1425161529 9.1425161529

262.49867854 310.78049268 310.78049268

62.8318530720.0159154943628.75353946

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

142.68684224 0.2 0 0 0.0000 0 5.0000 5-468.15680205 8.803288824 0.4501644412 0.1 5.0000 250.0566 3.6603 8.256614573.27917122 1.133079658 0.9469828653 0.2 8.6603 -837.3589 1.3397 -9.057642

-480.12786969 -1.281011049 0.9395862957 0.3 10.0000 2233.47 -1.3397 27.9842233.15879282 0.9624633205 0.9236589093 0.4 8.6603 -6244.01 -3.6603 -85.55451117.94779279 -9.142516153 0.5146562677 0.5 5.0000 17064.35 -5.0000 216.8326

-183.35187015 -1.692166346 -0.027077857 0.6 0.0000 -46890.61 0.0000 -612.91783.004782117 2.4879795932 0.0127128051 0.7 0.0000 129001.2 0.0000 1683.659

168.28486409 -2.34922887 0.0196503413 0.8 0.0000 -354259 0.0000 -4622.764-269.7622415 1.3780449774 -0.028908853 0.9 0.0000 972642.8 0.0000 12691.83269.05495937 0.031449954 0.0415658933 1 0.0000 -2670386 0.0000 -34845.27

-172.15685355 -1.350509176 -0.024387068 1.1 0.0000 7331509 0.0000 95667.1719.128758092 2.1124369849 0.0137093226 1.2 0.0000 -2E+07 0.0000 -262653132.14363541 -2.076021627 0.0155300905 1.3 0.0000 55262633 0.0000 721109.3

-227.65467627 1.2991394361 -0.023314019 1.4 0.0000 -1.52E+08 0.0000 -1979795236.37650279 -0.101251544 0.0365803756 1.5 0.0000 4.17E+08 0.0000 5435497

-160.06558678 -1.065551197 -0.021759761 1.6 0.0000 -1.14E+09 0.0000-1492307730.792644557 1.7856949494 0.0142474261 1.7 0.0000 3.14E+09 0.0000 40971085102.23091279 -1.826706015 0.0121968728 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08-191.2169858 1.2120708877 -0.018534884 1.9 0.0000 2.37E+10 0.0000 3.09E+08206.81277927 -0.19845586 0.0321458678 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-147.56344295 -0.829192935 -0.019236572 2.1 0.0000 1.78E+11 0.0000 2.33E+0938.865072087 1.5025368069 0.0144306217 2.2 0.0000 -4.9E+11 0.0000 -6.39E+0977.627015656 -1.600651995 0.0095248623 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-159.81024178 1.1207635908 -0.014469558 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10180.21835966 -0.26698213 0.0282195152 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-135.02278105 -0.634321956 -0.016845689 2.6 0.0000 -2.78E+13 0.0000 -3.63E+1144.073919378 1.2581171483 0.0143440705 2.7 0.0000 7.64E+13 0.0000 9.97E+1157.528853257 -1.396886831 0.0074055864 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-132.84760143 1.028247822 -0.011026364 2.9 0.0000 5.76E+14 0.0000 7.51E+12156.42039106 -0.312554934 0.0247582803 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-122.72330234 -0.474718207 -0.014605377 3.1 0.0000 4.34E+15 0.0000 5.66E+1347.025978447 1.047972955 0.0140573607 3.2 0.0000 -1.19E+16 0.0000 -1.56E+1441.237945266 -1.214202077 0.0057459045 3.3 0.0000 3.27E+16 0.0000 4.27E+14

Δůi

L686
el tiempo lo vamos a variar
M686
ESTE ES EL DATO QUE VA A VARIAR
O686
este dato no es igual al de la segunda columna?
I687
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N687
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 186: Hojas de Calculo Fransua

-109.79386669 0.9368190761 -0.008123246 3.4 0.0000 -9E+16 0.0000 -1.17E+15135.22920394 -0.339955842 0.0217199162 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-110.86929103 -0.344963897 -0.012526071 3.6 0.0000 -6.77E+17 0.0000 -8.84E+1548.224289825 0.8680236929 0.013626919 3.7 0.0000 1.86E+18 0.0000 2.43E+1628.149197492 -1.051238777 0.0044661648 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-90.164042039 0.8481731184 -0.005687118 3.9 0.0000 1.4E+19 0.0000 1.83E+17116.44661827 -0.353157213 0.0190636771 4 0.0000 -3.85E+19 0.0000 -5E+17

-99.604150266 -0.240358734 -0.01061212 4.1 0.0000 1.06E+20 0.0000 1.38E+1848.083359486 0.7145631461 0.0130981004 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1817.740484823 -0.906554513 0.0034985321 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-73.521173377 0.763520043 -0.003653191 4.4 0.0000 -2.19E+21 0.0000 -2.85E+1999.872347538 -0.355439829 0.0167508193 4.5 0.0000 6E+21 0.0000 7.83E+19

-89.022599577 -0.156840992 -0.008863222 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2046.942461649 0.5842452425 0.0125069908 4.7 0.0000 4.52E+22 0.0000 5.9E+209.5630630253 -0.778675419 0.0027854819 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-59.473695091 0.6836801525 -0.001964281 4.9 0.0000 3.41E+23 0.0000 4.45E+2185.308840281 -0.349495879 0.0147449323 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-79.180858186 -0.090914651 -0.007275594 5.1 0.0000 2.57E+24 0.0000 3.35E+2245.077221619 0.474065682 0.0118819573 5.2 0.0000 -7.06E+24 0.0000 -9.21E+223.2328077509 -0.666135814 0.0022784508 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-47.672465843 0.6091641593 -0.000570132 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2372.564847135 -0.337518772 0.0130121374 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-70.105100637 -0.039582639 -0.005842933 5.6 0.0000 -4E+26 0.0000 -5.23E+2442.709661061 0.3813408184 0.0112449758 5.7 0.0000 1.1E+27 0.0000 1.44E+25

-1.5777382689 -0.567507703 0.0019366316 5.8 0.0000 -3E+27 0.0000 -3.94E+25-37.807635079 0.5402399161 0.0005732422 5.9 0.0000 8.3E+27 0.0000 1.08E+2661.457956661 -0.321281133 0.0115211814 6 0.0000 -2.28E+28 0.0000 -3E+26

-61.798436429 -0.000286102 -0.00455718 6.1 0.0000 6.25E+28 0.0000 8.16E+2640.016875456 0.3036849398 0.0106127615 6.2 0.0000 -1.72E+29 0.0000 -2.24E+27-5.146541526 -0.481422067 0.0017259052 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-29.605450232 0.4769876229 0.001504183 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2851.816304185 -0.302202275 0.0102434504 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-54.246633937 0.0291505244 -0.003409137 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2937.138500298 0.2389868363 0.0099977309 6.7 0.0000 2.68E+31 0.0000 3.49E+29

-7.7085179583 -0.406583534 0.001617896 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29-22.825088254 0.4193452133 0.00225598 6.9 0.0000 2.02E+32 0.0000 2.63E+3043.479624512 -0.28140635 0.0091529231 7 0.0000 -5.54E+32 0.0000 -7.23E+30-47.42278064 0.050568899 -0.002388949 7.1 0.0000 1.52E+33 0.0000 1.99E+3134.18310938 0.1853863419 0.0094088126 7.2 0.0000 -4.18E+33 0.0000 -5.45E+31

-9.4612832248 -0.341779778 0.0015891408 7.3 0.0000 1.15E+34 0.0000 1.5E+32-17.25557359 0.3671454094 0.0028574223 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3236.299790573 -0.259772244 0.0082260806 7.5 0.0000 8.65E+34 0.0000 1.13E+33-41.29104637 0.0655209523 -0.001486484 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3331.233675513 0.1412513586 0.0088521316 7.7 0.0000 6.52E+35 0.0000 8.5E+33

-10.570262441 -0.285886778 0.0016203606 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34-12.71282727 0.320145739 0.0033333087 7.9 0.0000 4.91E+36 0.0000 6.41E+3430.140955473 -0.23797623 0.0074417842 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-35.809693749 0.0753082119 -0.000691617 8.1 0.0000 3.7E+37 0.0000 4.83E+35

Page 187: Hojas de Calculo Fransua

28.35221149 0.1051557396 0.0083315808 8.2 0.0000 -1E+38 0.0000 -1.33E+36-11.173210169 -0.237870846 0.0016958255 8.3 0.0000 2.79E+38 0.0000 3.64E+36-9.0368777176 0.2780526352 0.003704915 8.4 0.0000 -7.66E+38 0.0000 -1E+3724.879394449 -0.216528278 0.0067811329 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-30.933460003 0.0810166446 5.551168E-06 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3725.583697168 0.07585829 0.0078492979 8.7 0.0000 1.59E+40 0.0000 2.07E+38

-11.384191394 -0.196788206 0.0018028021 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-6.0892527487 0.2405405859 0.0039904211 8.9 0.0000 1.2E+41 0.0000 1.56E+3920.403125499 -0.195802829 0.0062273089 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-26.615416689 0.0835473938 0.0006145372 9.1 0.0000 9.01E+41 0.0000 1.18E+4022.959387363 0.052283057 0.0074060597 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40-11.29707311 -0.161782746 0.0019310752 9.3 0.0000 6.79E+42 0.0000 8.86E+40

-3.7505634202 0.2072671635 0.0042052961 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4116.611372395 -0.176064753 0.0057654166 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-22.808398372 0.0836437784 0.0011443679 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4220.49958476 0.0335010114 0.0070016074 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-10.988574189 -0.132082436 0.0020725361 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-1.9182835846 0.1778846447 0.0043626466 9.9 0.0000 2.91E+45 0.0000 3.8E+4313.413921243 -0.157491163 0.0053823206 10 0.0000 -8E+45 0.0000 -1E+44

-19.466077713 0.0819149121 0.0016035081 10.1 0.0000 2.19E+46 0.0000 2.86E+4418.21595247 0.0187131638 0.0066349119 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-10.52091877 -0.106994847 0.0022208277 10.3 0.0000 1.65E+47 0.0000 2.16E+45-0.5047238306 0.1520488277 0.0044735268 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4510.730411143 -0.140189628 0.0050664868 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-16.543752588 0.0788562821 0.0019998195 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4616.113432007 0.00723512 0.0063043896 10.7 0.0000 9.39E+48 0.0000 1.23E+47-9.944135573 -0.085902071 0.002371042 10.8 0.0000 -2.58E+49 0.0000 -3.36E+470.5648053707 0.1294255592 0.0045472164 10.9 0.0000 7.08E+49 0.0000 9.23E+478.4895907935 -0.12421332 0.0048078284 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-13.998900594 0.0748676082 0.0023405428 11.1 0.0000 5.33E+50 0.0000 6.96E+4814.191824463 -0.001516953 0.0060080755 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-9.2980425336 -0.068255321 0.0025194618 11.3 0.0000 4.02E+51 0.0000 5.25E+491.3536492642 0.1096954073 0.0045914661 11.4 0.0000 -1.1E+52 0.0000 -1.44E+506.6285655797 -0.109573528 0.0045975601 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-11.791547403 0.0702682796 0.0026322977 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.447085376 -0.008039004 0.0057437614 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-8.6139530176 -0.05356939 0.0026633417 11.8 0.0000 -6.27E+53 0.0000 -8.18E+511.9152930127 0.092556843 0.0046127144 11.9 0.0000 1.72E+54 0.0000 2.25E+525.0920537583 -0.096249925 0.0044280603 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-9.8844877683 0.0653106463 0.0028810964 12.1 0.0000 1.3E+55 0.0000 1.69E+5310.872377312 -0.012750483 0.0055091046 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-7.9161367874 -0.041417136 0.0028007236 12.3 0.0000 9.78E+55 0.0000 1.28E+542.2946855756 0.0777282381 0.0046162787 12.4 0.0000 -2.69E+56 0.0000 -3.51E+543.8316654629 -0.084198949 0.0042927432 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-8.2433914157 0.0601914166 0.0030923666 12.6 0.0000 -2E+57 0.0000 -2.64E+559.4589183162 -0.016004516 0.0053017116 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-7.2230658339 -0.031424103 0.0029302807 12.8 0.0000 -1.53E+58 0.0000 -2E+562.5294150103 0.0649489333 0.0046065222 12.9 0.0000 4.19E+58 0.0000 5.47E+56

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2.8052143306 -0.073360571 0.0041859403 13 0.0000 -1.15E+59 0.0000 -1.5E+57-6.8368204472 0.0550613913 0.0032709813 13.1 0.0000 3.16E+59 0.0000 4.12E+578.1966592132 -0.018096952 0.0051192032 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-6.5484722599 -0.023263357 0.0030511878 13.3 0.0000 2.38E+60 0.0000 3.11E+582.6507471917 0.0539795857 0.0045869992 13.4 0.0000 -6.54E+60 0.0000 -8.53E+581.9760683796 -0.063663725 0.0041027923 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-5.6361800932 0.0500337428 0.0034212932 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.0748181484 -0.019274375 0.0049592616 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-5.9022426253 -0.01665059 0.0031630133 13.8 0.0000 -3.71E+62 0.0000 -4.85E+602.6845398754 0.044601971 0.0045605823 13.9 0.0000 1.02E+63 0.0000 1.33E+611.3125442614 -0.055030605 0.0040391506 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-4.6156206108 0.045191025 0.0035471716 14.1 0.0000 7.69E+63 0.0000 1E+626.0822966986 -0.019741162 0.0048196647 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-5.2911705553 -0.011339545 0.0032656294 14.3 0.0000 5.79E+64 0.0000 7.56E+622.652043719 0.0366183798 0.0045295712 14.4 0.0000 -1.59E+65 0.0000 -2.08E+63

0.7873470397 -0.047380038 0.0039914883 14.5 0.0000 4.37E+65 0.0000 5.7E+63-3.7519047042 0.0405910831 0.0036520405 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.2079983278 -0.019665679 0.0046983107 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-4.7195869917 -0.007117761 0.0033591387 14.8 0.0000 -9E+66 0.0000 -1.18E+652.5706013957 0.0298507245 0.0044957869 14.9 0.0000 2.48E+67 0.0000 3.24E+650.3770561302 -0.04063007 0.0039568196 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-3.0242519809 0.036272012 0.0037389167 15.1 0.0000 1.87E+68 0.0000 2.44E+664.4410668488 -0.019185699 0.0045932324 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-4.1898852364 -0.003802666 0.0034438141 15.3 0.0000 1.41E+69 0.0000 1.84E+672.4542553311 0.0241394474 0.0044606532 15.4 0.0000 -3.87E+69 0.0000 -5.05E+670.0616568792 -0.034699934 0.0039326289 15.5 0.0000 1.06E+70 0.0000 1.39E+68

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-3.7029558956 -0.001238002 0.0035200503 15.8 0.0000 -2.2E+71 0.0000 -2.87E+692.3142739203 0.0193423042 0.0044252655 15.9 0.0000 6.04E+71 0.0000 7.88E+69

-0.1758835899 -0.029511488 0.0039168063 16 0.0000 -1.66E+72 0.0000 -2.16E+70-1.9052759254 0.0285542356 0.0038689436 16.1 0.0000 4.55E+72 0.0000 5.94E+703.1880696082 -0.017438016 0.0044247546 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.2585449803 0.0007094162 0.0035883246 16.3 0.0000 3.43E+73 0.0000 4.48E+712.15960536 0.0153330799 0.0043904494 16.4 0.0000 -9.42E+73 0.0000 -1.23E+72

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-2.8555467459 0.0021526261 0.0036491657 16.8 0.0000 -5.35E+75 0.0000 -7E+731.9972674979 0.0120002821 0.0043568111 16.9 0.0000 1.47E+76 0.0000 1.92E+74

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-2.4922413491 0.0031871421 0.00370313 17.3 0.0000 8.35E+77 0.0000 1.09E+761.8326813689 0.0092458455 0.0043247793 17.4 0.0000 -2.29E+78 0.0000 -3E+76

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Page 189: Hojas de Calculo Fransua

-2.1664860606 0.0038932983 0.0037507818 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.6699553748 0.0069838723 0.0042946403 17.9 0.0000 3.57E+80 0.0000 4.66E+78

-0.6040419428 -0.014752088 0.0039062296 18 0.0000 -9.81E+80 0.0000 -1.28E+79-0.6180295288 0.0168076234 0.0040090063 18.1 0.0000 2.69E+81 0.0000 3.52E+791.5503981451 -0.012736239 0.0042125756 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79-1.875867576 0.0043383297 0.0037926801 18.3 0.0000 2.03E+82 0.0000 2.65E+801.512126379 0.0051394267 0.0042665679 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80

-0.6279914796 -0.012246536 0.0039112125 18.5 0.0000 1.53E+83 0.0000 2E+81-0.4310798398 0.0145742461 0.004027598 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.2764705445 -0.011558538 0.0041783834 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.6178219122 0.0045782137 0.0038293672 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.3613633442 0.0036473967 0.0042406477 18.9 0.0000 8.7E+84 0.0000 1.13E+83

-0.6324059052 -0.010106349 0.0039177001 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.2817848967 0.0125877779 0.0040417716 19.1 0.0000 6.56E+85 0.0000 8.55E+831.0438316925 -0.010427636 0.0041497787 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.3897274471 0.0046592907 0.0038613614 19.3 0.0000 4.94E+86 0.0000 6.45E+841.2191385305 0.0024514292 0.0042168974 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.6220947918 -0.008285878 0.003925175 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.163905508 0.0108290016 0.0040523312 19.6 0.0000 -1E+88 0.0000 -1.33E+860.8471246136 -0.009356134 0.0041259745 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.1889758404 0.0046196862 0.0038891522 19.8 0.0000 -7.71E+88 0.0000 -1E+871.0863707134 0.0015029448 0.0041952837 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.6009772622 -0.006744053 0.0039332283 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo1.144814487 -0.168623926 1.144814487

8.6849209001 9.0599300929 9.0599300929255.98419546 306.86095381 306.86095381

62.8318530720.0159154943

629.2196955NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

147.68457124 0.3 0.2 0 0.0000 0 5.0000 5-464.55244844 8.6849209001 0.649246045 0.1 5.0000 250.0566 3.6603 8.256614562.84514928 1.2264479405 1.144814487 0.2 8.6603 -837.3589 1.3397 -9.057642

-466.97972551 -1.317389977 1.1402673852 0.3 10.0000 2233.47 -1.3397 27.9842

Δůi

L908
el tiempo lo vamos a variar
M908
ESTE ES EL DATO QUE VA A VARIAR
O908
este dato no es igual al de la segunda columna?
I909
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N909
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 190: Hojas de Calculo Fransua

222.15159235 0.9320432941 1.1210000511 0.4 8.6603 -6244.01 -3.6603 -85.55451122.99748042 -9.059930093 0.7146057111 0.5 5.0000 17064.35 -5.0000 216.8326

-180.97266775 -1.794449841 0.1718867144 0.6 0.0000 -46890.61 0.0000 -612.9178-5.5349967893 2.5722710438 0.2107777745 0.7 0.0000 129001.2 0.0000 1683.659179.58476137 -2.386391298 0.2200717618 0.8 0.0000 -354259 0.0000 -4622.764

-279.62565358 1.3574345894 0.1686239264 0.9 0.0000 972642.8 0.0000 12691.83274.0348286 0.0992158663 0.2414564492 1 0.0000 -2670386 0.0000 -34845.27

-170.74643703 -1.438544106 0.1744900372 1.1 0.0000 7331509 0.0000 95667.1712.191521951 2.1881155003 0.2119686069 1.2 0.0000 -2E+07 0.0000 -262653141.81600595 -2.112970648 0.2157258496 1.3 0.0000 55262633 0.0000 721109.3

-236.44908468 1.2863195995 0.1743932971 1.4 0.0000 -1.52E+08 0.0000 -1979795241.19685416 -0.04604409 0.2364070726 1.5 0.0000 4.17E+08 0.0000 5435497

-159.41109547 -1.141019305 0.1770539029 1.6 0.0000 -1.14E+09 0.0000-1492307725.204980671 1.8532934145 0.2126676084 1.7 0.0000 3.14E+09 0.0000 40971085110.47610573 -1.862699607 0.2121972988 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08-199.0214175 1.2053616925 0.1793304031 1.9 0.0000 2.37E+10 0.0000 3.09E+08211.4098687 -0.153842597 0.2319063579 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-147.4891816 -0.893624326 0.1795330118 2.1 0.0000 1.78E+11 0.0000 2.33E+0934.408463 1.5626282994 0.2129832104 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09

84.625809614 -1.635155005 0.2093568751 2.3 0.0000 1.34E+12 0.0000 1.75E+10-166.70519923 1.1187753206 0.1835378909 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10

184.5492545 -0.231263834 0.2279134652 2.5 0.0000 1.01E+13 0.0000 1.32E+11-135.38467198 -0.689100226 0.1818952622 2.6 0.0000 -2.78E+13 0.0000 -3.63E+1140.560355865 1.3112925082 0.2130048763 2.7 0.0000 7.64E+13 0.0000 9.97E+1163.443477235 -1.429530564 0.2070929736 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-138.91295875 1.0298380197 0.1871083464 2.9 0.0000 5.76E+14 0.0000 7.51E+12160.45866945 -0.284267473 0.2243868737 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-123.40404965 -0.52108743 0.1841191286 3.1 0.0000 4.34E+15 0.0000 5.66E+1344.294348188 1.0948236029 0.2128059373 3.2 0.0000 -1.19E+16 0.0000 -1.56E+1446.213242678 -1.244750438 0.2053095955 3.3 0.0000 3.27E+16 0.0000 4.27E+14-115.1073075 0.9410550651 0.1901248269 3.4 0.0000 -9E+16 0.0000 -1.17E+15138.96137841 -0.317842673 0.2212854465 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-111.77418221 -0.384036867 0.1861914695 3.6 0.0000 -6.77E+17 0.0000 -8.84E+1546.137093614 0.9091287491 0.2124460636 3.7 0.0000 1.86E+18 0.0000 2.43E+1632.313872287 -1.079560065 0.2039244978 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-94.799936737 0.8542994163 0.1926614654 3.9 0.0000 1.4E+19 0.0000 1.83E+17119.86917876 -0.336144325 0.2185692199 4 0.0000 -3.85E+19 0.0000 -5E+17

-100.65742566 -0.273125965 0.1881057054 4.1 0.0000 1.06E+20 0.0000 1.38E+1846.523743436 0.7504800494 0.2119734096 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1821.208382268 -0.932598047 0.2028675097 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-77.549809584 0.7709301412 0.1947841144 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19102.98933201 -0.342613036 0.2161999697 4.5 0.0000 6E+21 0.0000 7.83E+19

-90.164325229 -0.184180092 0.1898603132 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2045.811549982 0.6155031905 0.2114264682 4.7 0.0000 4.52E+22 0.0000 5.9E+2012.434448869 -0.802452289 0.2020790132 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-62.960789252 0.6918921737 0.1965510074 4.9 0.0000 3.41E+23 0.0000 4.45E+2188.129852656 -0.340080383 0.214141597 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-80.364243033 -0.113599769 0.1914575895 5.1 0.0000 2.57E+24 0.0000 3.35E+22

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44.291731982 0.5011613265 0.2108356673 5.2 0.0000 -7.06E+24 0.0000 -9.21E+225.5956186342 -0.687703131 0.2015085771 5.3 0.0000 1.94E+25 0.0000 2.53E+23

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-71.294204297 -0.058293772 0.1929026416 5.6 0.0000 -4E+26 0.0000 -5.23E+2442.199782799 0.4047357429 0.2102247402 5.7 0.0000 1.1E+27 0.0000 1.44E+250.3533071326 -0.586955817 0.2011137365 5.8 0.0000 -3E+27 0.0000 -3.94E+25-40.38934428 0.5490071191 0.1992163016 5.9 0.0000 8.3E+27 0.0000 1.08E+2663.730396919 -0.316831802 0.2108250674 6 0.0000 -2.28E+28 0.0000 -3E+26

-62.966218831 -0.015618091 0.1942025728 6.1 0.0000 6.25E+28 0.0000 8.16E+2639.724390503 0.3238045245 0.2096118945 6.2 0.0000 -1.72E+29 0.0000 -2.24E+27

-3.5804395173 -0.498864277 0.2008589069 6.3 0.0000 4.71E+29 0.0000 6.15E+27-31.813481661 0.4856644717 0.2001989166 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2853.840473095 -0.299502839 0.2095069983 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-55.373302984 0.016679422 0.1953658274 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2937.015126231 0.2562201886 0.2090108079 6.7 0.0000 2.68E+31 0.0000 3.49E+29

-6.4494559775 -0.422147882 0.2007144232 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29-24.705715904 0.4277675593 0.2009954071 6.9 0.0000 2.02E+32 0.0000 2.63E+3045.274269634 -0.280075593 0.2083800054 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-48.494398649 0.040508941 0.1964016728 7.1 0.0000 1.52E+33 0.0000 1.99E+3134.189044547 0.2000870244 0.2084314711 7.2 0.0000 -4.18E+33 0.0000 -5.45E+31-8.459284231 -0.355602597 0.2006556924 7.3 0.0000 1.15E+34 0.0000 1.5E+32

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-36.747158411 0.0689583642 0.1981299756 8.1 0.0000 3.7E+37 0.0000 4.83E+3528.525086339 0.1157165556 0.2073637216 8.2 0.0000 -1E+38 0.0000 -1.33E+36

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-23.528775865 0.0807973967 0.2000077798 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4220.771531239 0.0397086691 0.2060330831 9.7 0.0000 3.86E+44 0.0000 5.04E+42

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14.21178611 -0.159453857 0.2044598342 10 0.0000 -8E+45 0.0000 -1E+44-20.117269456 0.0798391741 0.2004791001 10.1 0.0000 2.19E+46 0.0000 2.86E+44

18.49580526 0.0238580384 0.2056639607 10.2 0.0000 -6E+46 0.0000 -7.85E+44-10.350202392 -0.113196307 0.2011970473 10.3 0.0000 1.65E+47 0.0000 2.16E+45-1.0396371599 0.1570294907 0.2033887064 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4511.417742538 -0.142236689 0.2041283465 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-17.129107127 0.0774024002 0.2008866321 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4616.39318019 0.0114732599 0.2053304151 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-9.8353916537 -0.091252227 0.2013414667 10.8 0.0000 -2.58E+49 0.0000 -3.36E+470.1282888429 0.1339117126 0.203474441 10.9 0.0000 7.08E+49 0.0000 9.23E+47

9.079340144 -0.126279488 0.2038560522 11 0.0000 -1.94E+50 0.0000 -2.54E+48-14.522343398 0.0739107602 0.2012376158 11.1 0.0000 5.33E+50 0.0000 6.96E+48

14.46547065 0.0019508461 0.2050306961 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49-9.2380533407 -0.072852705 0.2014856032 11.3 0.0000 4.02E+51 0.0000 5.25E+491.0002245813 0.1137146084 0.2035286983 11.4 0.0000 -1.1E+52 0.0000 -1.44E+507.1325338125 -0.111609516 0.2036339529 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-12.257351494 0.0697042799 0.2015386912 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.710269316 -0.005222809 0.2047627647 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-8.5917695507 -0.057504006 0.201626424 11.8 0.0000 -6.27E+53 0.0000 -8.18E+511.6317086231 0.0961397851 0.203558213 11.9 0.0000 1.72E+54 0.0000 2.25E+525.5209260481 -0.09821947 0.2034542287 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-10.297094452 0.0650530078 0.2017959056 12.1 0.0000 1.3E+55 0.0000 1.69E+5311.122058749 -0.010482934 0.2045244093 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-7.9227449327 -0.044770661 0.2017617295 12.3 0.0000 9.78E+55 0.0000 1.28E+542.0695131279 0.0809073023 0.2035685615 12.4 0.0000 -2.69E+56 0.0000 -3.51E+544.1950612841 -0.086076324 0.2033101104 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-8.6072724001 0.0601687697 0.2020147327 12.6 0.0000 -2E+57 0.0000 -2.64E+559.6931110429 -0.014196692 0.2043133366 12.7 0.0000 5.56E+57 0.0000 7.25E+55-7.251094673 -0.034270222 0.2018899909 12.8 0.0000 -1.53E+58 0.0000 -2E+562.3528376874 0.0677570671 0.2035643331 12.9 0.0000 4.19E+58 0.0000 5.47E+563.1117478891 -0.075128493 0.2031957618 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-7.1563739233 0.055215225 0.2022000984 13.1 0.0000 3.16E+59 0.0000 4.12E+578.4142092035 -0.016672358 0.2041272417 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-6.5919402311 -0.025668178 0.2020102149 13.3 0.0000 2.38E+60 0.0000 3.11E+582.5143664871 0.0564494517 0.2035492786 13.4 0.0000 -6.54E+60 0.0000 -8.53E+582.2334155184 -0.065311606 0.2031061709 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-5.9156544883 0.0503164361 0.2023564124 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.2752194723 -0.01816747 0.2039638607 13.7 0.0000 1.35E+62 0.0000 1.77E+60-5.956337499 -0.018673127 0.2021218309 13.8 0.0000 -3.71E+62 0.0000 -4.85E+602.5812003421 0.0467653149 0.2035264403 13.9 0.0000 1.02E+63 0.0000 1.33E+611.5275127731 -0.056553101 0.203037051 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-4.8590607104 0.0455641384 0.2024876028 14.1 0.0000 7.69E+63 0.0000 1E+626.2655397005 -0.018896019 0.2038210088 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-5.3520594722 -0.013032226 0.2022245965 14.3 0.0000 5.79E+64 0.0000 7.56E+622.575674952 0.0385055773 0.2034982641 14.4 0.0000 -1.59E+65 0.0000 -2.08E+63

0.9659480175 -0.048775845 0.2029847507 14.5 0.0000 4.37E+65 0.0000 5.7E+63-3.9631156863 0.0410238811 0.2025971525 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.3744452365 -0.019034776 0.2036966077 14.7 0.0000 3.29E+66 0.0000 4.29E+64

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-4.7842531055 -0.008526956 0.2023185211 14.8 0.0000 -9E+66 0.0000 -1.18E+652.5160763239 0.031490471 0.2034666969 14.9 0.0000 2.48E+67 0.0000 3.24E+650.5245745596 -0.041900941 0.2029461734 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-3.2067776384 0.0367401906 0.2026881358 15.1 0.0000 1.87E+68 0.0000 2.44E+664.5913506095 -0.018728831 0.2035887038 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-4.2559877999 -0.004969205 0.202403802 15.3 0.0000 1.41E+69 0.0000 1.84E+672.4172637755 0.025558562 0.2034332698 15.4 0.0000 -3.87E+69 0.0000 -5.05E+670.1827201413 -0.035849872 0.2029187043 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-2.5712816147 0.0327408894 0.2027632552 15.6 0.0000 -2.92E+70 0.0000 -3.81E+683.9060025166 -0.018096423 0.2034954785 15.7 0.0000 8.01E+70 0.0000 1.05E+69-3.768710916 -0.00219769 0.2024807729 15.8 0.0000 -2.2E+71 0.0000 -2.87E+692.2912103075 0.0205656234 0.2033991696 15.9 0.0000 6.04E+71 0.0000 7.88E+69

-0.0772402542 -0.030546094 0.2029001461 16 0.0000 -1.66E+72 0.0000 -2.16E+70-2.0399719073 0.0290406914 0.2028248759 16.1 0.0000 4.55E+72 0.0000 5.94E+703.3086172047 -0.017233131 0.2034152539 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.3226238503 -7.46893E-05 0.2025498629 16.3 0.0000 3.43E+73 0.0000 4.48E+712.1474694556 0.0163834205 0.2033652995 16.4 0.0000 -9.42E+73 0.0000 -1.23E+72

-0.2702699557 -0.025916189 0.202888661 16.5 0.0000 2.59E+74 0.0000 3.37E+72-1.5981311279 0.0256441756 0.2028750603 16.6 0.0000 -7.1E+74 0.0000 -9.26E+722.7899732497 -0.016215513 0.2033464934 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.9169905196 0.0015169035 0.2026115629 16.8 0.0000 -5.35E+75 0.0000 -7E+731.9935770282 0.012898457 0.203332331 16.9 0.0000 1.47E+76 0.0000 1.92E+74

-0.4090166702 -0.021890664 0.2028827206 17 0.0000 -4E+76 0.0000 -5.26E+74-1.2328104598 0.0225482327 0.202915599 17.1 0.0000 1.11E+77 0.0000 1.44E+752.3414689333 -0.015104227 0.2032877993 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5503885804 0.002676237 0.2026663998 17.3 0.0000 8.35E+77 0.0000 1.09E+761.8353954271 0.0100107187 0.2033007476 17.4 0.0000 -2.29E+78 0.0000 -3E+76

-0.5041215238 -0.018404457 0.2028810607 17.5 0.0000 6.29E+78 0.0000 8.21E+76-0.9326644475 0.0197440618 0.2029480409 17.6 0.0000 -1.73E+79 0.0000 -2.25E+771.9551518715 -0.013946718 0.2032379081 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2209123533 0.0034868741 0.2027149159 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.6774075538 0.0076324418 0.2032708817 17.9 0.0000 3.57E+80 0.0000 4.66E+78

-0.5644937193 -0.01539723 0.2028826423 18 0.0000 -9.81E+80 0.0000 -1.28E+79-0.6877927396 0.0172187889 0.2029737202 18.1 0.0000 2.69E+81 0.0000 3.52E+791.6237272215 -0.012779515 0.2031956839 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-1.9263352065 0.004018906 0.2027576535 18.3 0.0000 2.03E+82 0.0000 2.65E+801.5229666289 0.0056869274 0.2032429452 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80

-0.5975535287 -0.01281348 0.2028866175 18.5 0.0000 1.53E+83 0.0000 2E+81-0.4895904493 0.0149567673 0.2029937819 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.3405496702 -0.011630184 0.203160111 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.6642380811 0.0043308255 0.2027951431 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.3745076148 0.0041074145 0.2032170551 18.9 0.0000 8.7E+84 0.0000 1.13E+83

-0.6094463388 -0.01060252 0.2028922998 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.3306081896 0.0129406098 0.2030092043 19.1 0.0000 6.56E+85 0.0000 8.55E+831.0996034489 -0.010518987 0.2031302855 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.4321098917 0.0044711791 0.2028278951 19.3 0.0000 4.94E+86 0.0000 6.45E+841.2337253301 0.002836023 0.2031932552 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.6052304078 -0.008718361 0.2028991383 19.5 0.0000 3.72E+87 0.0000 4.86E+85

Page 194: Hojas de Calculo Fransua

-0.2044223685 0.0111520009 0.2030208203 19.6 0.0000 -1E+88 0.0000 -1.33E+860.8954738083 -0.009460276 0.2031054065 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.2274247004 0.0044800192 0.2028563937 19.8 0.0000 -7.71E+88 0.0000 -1E+871.1017237813 0.0018227698 0.2031715332 19.9 0.0000 2.12E+89 0.0000 2.76E+87-0.589040891 -0.007119526 0.2029066954 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo1.2435138429 -0.268051054 1.2435138429

8.608488437 8.9732815166 8.9732815166250.43633252 301.25919532 301.25919532

62.8318530720.0159154943629.47579791

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

144.14108377 0.4 0.3 0 0.0000 0 5.0000 5-455.41462158 8.608488437 0.7504244219 0.1 5.0000 250.0566 3.6603 8.256614551.69552784 1.2532999839 1.2435138429 0.2 8.6603 -837.3589 1.3397 -9.057642-457.9191234 -1.287843156 1.2417866843 0.3 10.0000 2233.47 -1.3397 27.9842218.30327289 0.8598339265 1.2203862228 0.4 8.6603 -6244.01 -3.6603 -85.55451120.54995498 -8.973281517 0.8147138433 0.5 5.0000 17064.35 -5.0000 216.8326-173.4583915 -1.863735566 0.2728629892 0.6 0.0000 -46890.61 0.0000 -612.9178

-15.143800952 2.6003885587 0.3096956388 0.7 0.0000 129001.2 0.0000 1683.659187.73372226 -2.365596939 0.3214352198 0.8 0.0000 -354259 0.0000 -4622.764

-283.48221876 1.2979136284 0.2680510543 0.9 0.0000 972642.8 0.0000 12691.83272.46080619 0.1739993708 0.3416467043 1 0.0000 -2670386 0.0000 -34845.27

-164.60989156 -1.500985515 0.2752973971 1.1 0.0000 7331509 0.0000 95667.173.9435870862 2.2165753306 0.3110768878 1.2 0.0000 -2E+07 0.0000 -262653149.10674208 -2.099179048 0.316946702 1.3 0.0000 55262633 0.0000 721109.3

-240.22878422 1.2375830321 0.2738669012 1.4 0.0000 -1.52E+08 0.0000 -1979795240.31091933 0.0182430046 0.336658203 1.5 0.0000 4.17E+08 0.0000 5435497

-154.43851239 -1.196990268 0.2777208399 1.6 0.0000 -1.14E+09 0.0000-1492307718.153843369 1.8813968074 0.3119411669 1.7 0.0000 3.14E+09 0.0000 40971085116.96710207 -1.854449569 0.3132885288 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-202.66216382 1.165751327 0.2788536167 1.9 0.0000 2.37E+10 0.0000 3.09E+08211.05834155 -0.098800865 0.3322011398 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-143.49539983 -0.94354417 0.2800838881 2.1 0.0000 1.78E+11 0.0000 2.33E+09

Δůi

L1130
el tiempo lo vamos a variar
M1130
ESTE ES EL DATO QUE VA A VARIAR
O1130
este dato no es igual al de la segunda columna?
I1131
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N1131
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 195: Hojas de Calculo Fransua

28.405474624 1.5898596109 0.3123996602 2.2 0.0000 -4.9E+11 0.0000 -6.39E+0990.378087804 -1.631232868 0.3103309973 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-170.16348489 1.0868527737 0.2831119925 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10184.60553202 -0.184331438 0.3282380593 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-132.20994236 -0.733413294 0.2823508227 2.6 0.0000 -2.78E+13 0.0000 -3.63E+1135.471619403 1.3372843337 0.3125443747 2.7 0.0000 7.64E+13 0.0000 9.97E+11

68.51864477 -1.428934187 0.307961882 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12-142.16012841 1.0043605016 0.2867331978 2.9 0.0000 5.76E+14 0.0000 7.51E+12160.81915348 -0.244418992 0.3247302733 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-120.91109463 -0.560247232 0.2844969621 3.1 0.0000 4.34E+15 0.0000 5.66E+1339.999897729 1.11932747 0.312450974 3.2 0.0000 -1.19E+16 0.0000 -1.56E+1450.672019252 -1.246657673 0.3060844638 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-118.12644609 0.9209530329 0.2897992318 3.4 0.0000 -9E+16 0.0000 -1.17E+15139.54193058 -0.284157603 0.3216390033 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-109.84550989 -0.418494015 0.2865064224 3.6 0.0000 -6.77E+17 0.0000 -8.84E+1542.529979861 0.9319906081 0.3121812521 3.7 0.0000 1.86E+18 0.0000 2.43E+1636.215005251 -1.08330127 0.304615719 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-97.583286049 0.838656107 0.2923834608 3.9 0.0000 1.4E+19 0.0000 1.83E+17120.60204651 -0.307800556 0.3189262384 4 0.0000 -3.85E+19 0.0000 -5E+17

-99.192892122 -0.303319196 0.2883702508 4.1 0.0000 1.06E+20 0.0000 1.38E+1843.509068539 0.7716198839 0.3117852852 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1824.607876851 -0.937632216 0.3034846686 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-80.096636359 0.7589629539 0.2945512055 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19103.82049347 -0.318879852 0.3165553606 4.5 0.0000 6E+21 0.0000 7.83E+19

-89.078935383 -0.210529802 0.290084878 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2043.305485191 0.6348981527 0.3113032955 4.7 0.0000 4.52E+22 0.0000 5.9E+2015.385050707 -0.808346403 0.302630883 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-65.275637227 0.6829358371 0.2963603547 4.9 0.0000 3.41E+23 0.0000 4.45E+2189.016732606 -0.320311249 0.3144915841 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-79.586177398 -0.136503567 0.2916508433 5.1 0.0000 2.57E+24 0.0000 3.35E+2242.220543596 0.5188318764 0.3107672588 5.2 0.0000 -7.06E+24 0.0000 -9.21E+228.1464964047 -0.694114371 0.3020031341 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-52.770163056 0.6112913822 0.2978619847 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2376.012965803 -0.314486197 0.3127022439 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-70.763057474 -0.07812364 0.2930717521 5.6 0.0000 -4E+26 0.0000 -5.23E+2440.498885294 0.4207343343 0.3102022868 5.7 0.0000 1.1E+27 0.0000 1.44E+252.5498918943 -0.593616301 0.3015581885 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-42.268134468 0.544471924 0.2991009696 5.9 0.0000 8.3E+27 0.0000 1.08E+2664.637276017 -0.30335198 0.3111569668 6 0.0000 -2.28E+28 0.0000 -3E+26

-62.631434479 -0.032718807 0.2943534275 6.1 0.0000 6.25E+28 0.0000 8.16E+2638.337440406 0.3382064432 0.3096278093 6.2 0.0000 -1.72E+29 0.0000 -2.24E+27-1.696494173 -0.50556801 0.3012597309 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-33.492685974 0.482704848 0.3001165728 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2854.725852518 -0.288481301 0.3098277502 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-55.192789641 0.0019908769 0.295503229 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2935.893166025 0.2691161988 0.3090585827 6.7 0.0000 2.68E+31 0.0000 3.49E+29

-4.8402224298 -0.42873966 0.3010774097 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29-26.199286496 0.4260516607 0.3009430097 6.9 0.0000 2.02E+32 0.0000 2.63E+30

Page 196: Hojas de Calculo Fransua

46.124482894 -0.271132465 0.3086889695 7 0.0000 -5.54E+32 0.0000 -7.23E+30-48.433310815 0.0279432297 0.2965295077 7.1 0.0000 1.52E+33 0.0000 1.99E+3133.289702468 0.211577528 0.3085055456 7.2 0.0000 -4.18E+33 0.0000 -5.45E+31

-7.0904420341 -0.361968591 0.3009859925 7.3 0.0000 1.15E+34 0.0000 1.5E+32-20.172886604 0.3744483118 0.3016099785 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3238.689463797 -0.252301217 0.3077173333 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.328029551 0.0467781132 0.2974411781 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3330.623075752 0.163929156 0.3079765415 7.7 0.0000 6.52E+35 0.0000 8.5E+33

-8.6230310451 -0.304167491 0.3009646248 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34-15.225147173 0.3277380971 0.3021431551 7.9 0.0000 4.91E+36 0.0000 6.41E+3432.288056741 -0.232765226 0.3068917986 8 0.0000 -1.35E+37 0.0000 -1.76E+35-36.84415971 0.0598769301 0.2982473839 8.1 0.0000 3.7E+37 0.0000 4.83E+3527.966562965 0.1247139374 0.3074769272 8.2 0.0000 -1E+38 0.0000 -1.33E+36

-9.5851626269 -0.254328893 0.3009961795 8.3 0.0000 2.79E+38 0.0000 3.64E+36-11.191788695 0.2856982944 0.3025646496 8.4 0.0000 -7.66E+38 0.0000 -1E+3726.798593362 -0.213122085 0.3061934601 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-31.943766193 0.0683977695 0.2989572443 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3725.374825947 0.0926589822 0.3070100819 8.7 0.0000 1.59E+40 0.0000 2.07E+38

-10.099342913 -0.211526817 0.3010666901 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-7.9300880337 0.2480615347 0.302893426 8.9 0.0000 1.2E+41 0.0000 1.56E+3922.110315887 -0.19382166 0.3056054197 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-27.585874509 0.073306537 0.2995796635 9.1 0.0000 9.01E+41 0.0000 1.18E+4022.887407966 0.0666568034 0.3065778306 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40

-10.266966235 -0.174916257 0.3011648579 9.3 0.0000 6.79E+42 0.0000 8.86E+40-5.3165394983 0.2145327684 0.3031456834 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4118.123022724 -0.175193492 0.3051126472 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-23.728116148 0.0754044079 0.300123193 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4220.53167803 0.0457476371 0.3061807952 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-10.171432343 -0.14373104 0.3012816251 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-3.2446893492 0.1848025682 0.3033352015 9.9 0.0000 2.91E+45 0.0000 3.8E+4314.746575735 -0.157469909 0.3047018345 10 0.0000 -8E+45 0.0000 -1E+44

-20.327990867 0.0753519338 0.3005959358 10.1 0.0000 2.19E+46 0.0000 2.86E+4418.32529813 0.0291030196 0.3058186835 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-9.8808684516 -0.117280531 0.3014098079 10.3 0.0000 1.65E+47 0.0000 2.16E+45-1.6231468174 0.1585574016 0.3034736514 10.4 0.0000 -4.54E+47 0.0000 -5.92E+45

11.90031452 -0.140805429 0.30436125 10.5 0.0000 1.25E+48 0.0000 1.63E+46-17.343814898 0.0736901257 0.3010054849 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4616.278280043 0.0160106614 0.3054905242 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-9.4504967355 -0.094945546 0.30154378 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-0.37377015 0.1354874126 0.3035708733 10.9 0.0000 7.08E+49 0.0000 9.23E+47

9.5124136833 -0.125292973 0.3040805953 11 0.0000 -1.94E+50 0.0000 -2.54E+48-14.735413511 0.0708588173 0.3013588875 11.1 0.0000 5.33E+50 0.0000 6.96E+4814.394690474 0.0058606166 0.3051948592 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-8.9246852908 -0.076173736 0.3016792032 11.3 0.0000 4.02E+51 0.0000 5.25E+490.5699772025 0.1152921707 0.303635125 11.4 0.0000 -1.1E+52 0.0000 -1.44E+50

7.519211228 -0.110977327 0.3038508671 11.5 0.0000 3.03E+52 0.0000 3.96E+50-12.464607197 0.0672125966 0.3016626306 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.674056101 -0.001867278 0.3049298965 11.7 0.0000 2.28E+53 0.0000 2.98E+51

Page 197: Hojas de Calculo Fransua

-8.3387178879 -0.060474708 0.3018127972 11.8 0.0000 -6.27E+53 0.0000 -8.18E+511.2645075802 0.0976847734 0.3036733005 11.9 0.0000 1.72E+54 0.0000 2.25E+525.8645297886 -0.097866261 0.3036642261 12 0.0000 -4.73E+54 0.0000 -6.17E+52-10.49553284 0.0630345733 0.3019226418 12.1 0.0000 1.3E+55 0.0000 1.69E+5311.112513623 -0.007614745 0.3046936332 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-7.7203150028 -0.047415024 0.3019421447 12.3 0.0000 9.78E+55 0.0000 1.28E+541.7574362771 0.0823946275 0.3036911249 12.4 0.0000 -2.69E+56 0.0000 -3.51E+544.4990071203 -0.085939657 0.3035138734 12.5 0.0000 7.38E+56 0.0000 9.62E+54-8.794834355 0.0585482284 0.302144302 12.6 0.0000 -2E+57 0.0000 -2.64E+559.703744054 -0.011755248 0.304483951 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-7.0909358237 -0.036613239 0.3020655266 12.8 0.0000 -1.53E+58 0.0000 -2E+562.0887649187 0.0691691808 0.3036933237 12.9 0.0000 4.19E+58 0.0000 5.47E+56

3.379447934 -0.075156944 0.3033939355 13 0.0000 -1.15E+59 0.0000 -1.5E+57-7.3317515 0.0539275732 0.302332467 13.1 0.0000 3.16E+59 0.0000 4.12E+57

8.4397253289 -0.014603088 0.3042986913 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58-6.4668881865 -0.027735057 0.302181784 13.3 0.0000 2.38E+60 0.0000 3.11E+58

2.291931673 0.0577748309 0.3036837727 13.4 0.0000 -6.54E+60 0.0000 -8.53E+582.4682056745 -0.065463107 0.3032993589 13.5 0.0000 1.79E+61 0.0000 2.34E+59-6.078130483 0.0493058225 0.3024914947 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.3113326267 -0.016421488 0.3041357114 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-5.8602707641 -0.020488692 0.3022902024 13.8 0.0000 -3.71E+62 0.0000 -4.85E+602.3947391155 0.0479971972 0.3036656276 13.9 0.0000 1.02E+63 0.0000 1.33E+611.7326000363 -0.056793496 0.3032258127 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-5.0083757877 0.0447827686 0.3026252763 14.1 0.0000 7.69E+63 0.0000 1E+626.3088117146 -0.017429754 0.303992927 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-5.2797693347 -0.014620481 0.3023904153 14.3 0.0000 5.79E+64 0.0000 7.56E+622.4201704845 0.0396409112 0.3036414368 14.4 0.0000 -1.59E+65 0.0000 -2.08E+631.1443737871 -0.049077639 0.3031696004 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-4.0993590076 0.0404310244 0.3027372697 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.4221470048 -0.017809573 0.3038683422 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-4.7313266228 -0.009910771 0.302482325 14.8 0.0000 -9E+66 0.0000 -1.18E+652.3871047746 0.0325290503 0.303613239 14.9 0.0000 2.48E+67 0.0000 3.24E+650.6791907254 -0.042242221 0.3031275804 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-3.3302974461 0.0363012831 0.3028305335 15.1 0.0000 1.87E+68 0.0000 2.44E+664.6413428322 -0.017710549 0.3037600702 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-4.2187030281 -0.006170112 0.3025660372 15.3 0.0000 1.41E+69 0.0000 1.84E+672.3109406672 0.0265023155 0.3035826474 15.4 0.0000 -3.87E+69 0.0000 -5.05E+670.3161752553 -0.036213375 0.3030970944 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-2.6826126867 0.0324267302 0.3029077621 15.6 0.0000 -2.92E+70 0.0000 -3.81E+683.9566336829 -0.017255036 0.3036663468 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.7439435657 -0.003235752 0.3026418074 15.8 0.0000 -2.2E+71 0.0000 -2.87E+692.2041387523 0.0214180374 0.3035509217 15.9 0.0000 6.04E+71 0.0000 7.88E+69

0.037493044 -0.030918414 0.3030759029 16 0.0000 -1.66E+72 0.0000 -2.16E+70-2.1397772093 0.0288267249 0.3029713184 16.1 0.0000 4.55E+72 0.0000 5.94E+703.3586366859 -0.016542345 0.3035855375 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.3077645084 -0.00096844 0.3027099982 16.3 0.0000 3.43E+73 0.0000 4.48E+712.0766908804 0.0171490728 0.3035190298 16.4 0.0000 -9.42E+73 0.0000 -1.23E+72

-0.1720285238 -0.026287095 0.3030621287 16.5 0.0000 2.59E+74 0.0000 3.37E+72

Page 198: Hojas de Calculo Fransua

-1.687155354 0.0255098541 0.3030232666 16.6 0.0000 -7.1E+74 0.0000 -9.26E+722.83845758 -0.01565239 0.3035161398 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.9098715677 0.0007504767 0.3027710441 16.8 0.0000 -5.35E+75 0.0000 -7E+731.9365248334 0.0135826443 0.3034877002 16.9 0.0000 1.47E+76 0.0000 1.92E+74

-0.3252419127 -0.022252525 0.3030542062 17 0.0000 -4E+76 0.0000 -5.26E+74-1.3118434787 0.0224764521 0.3030654025 17.1 0.0000 1.11E+77 0.0000 1.44E+752.3877595544 -0.014648841 0.3034567831 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5492199486 0.0020216705 0.3028254246 17.3 0.0000 8.35E+77 0.0000 1.09E+761.7898518401 0.0106191619 0.3034574662 17.4 0.0000 -2.29E+78 0.0000 -3E+76

-0.4329852056 -0.018751752 0.3030508367 17.5 0.0000 6.29E+78 0.0000 8.21E+76-1.0025129522 0.0197206657 0.3030992824 17.6 0.0000 -1.73E+79 0.0000 -2.25E+771.9988028033 -0.013581825 0.3034062244 17.7 0.0000 4.74E+79 0.0000 6.19E+77-2.224225275 0.0029301779 0.3028736421 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.6414638039 0.0081710567 0.3034287038 17.9 0.0000 3.57E+80 0.0000 4.66E+78

-0.5043544791 -0.015726138 0.3030509498 18 0.0000 -9.81E+80 0.0000 -1.28E+79-0.7492586538 0.0172321334 0.3031262495 18.1 0.0000 2.69E+81 0.0000 3.52E+791.6644612936 -0.012490252 0.3033633436 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-1.9329331755 0.003547495 0.3029162058 18.3 0.0000 2.03E+82 0.0000 2.65E+801.4949864674 0.0061616478 0.3034016629 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80

-0.5469453038 -0.013121535 0.3030536686 18.5 0.0000 1.53E+83 0.0000 2E+81-0.5434548573 0.0149973406 0.3031474588 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.3782221079 -0.011403792 0.3033271363 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.6731542597 0.003933438 0.3029536186 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.3530941262 0.0045240604 0.3033764935 18.9 0.0000 8.7E+84 0.0000 1.13E+83

-0.5670659209 -0.010888324 0.3030582803 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.3776197498 0.0130007021 0.3031638992 19.1 0.0000 6.56E+85 0.0000 8.55E+831.1341717497 -0.010344555 0.3032967066 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.4425702667 0.004137787 0.3029863681 19.3 0.0000 4.94E+86 0.0000 6.45E+841.2176909223 0.0032002036 0.3033532677 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.5699246168 -0.008981347 0.3030642105 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.2452893341 0.0112254176 0.303176414 19.6 0.0000 -1E+88 0.0000 -1.33E+860.9269729805 -0.009328515 0.3032712591 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.2388163377 0.0042017341 0.3030149201 19.8 0.0000 -7.71E+88 0.0000 -1E+871.090063203 0.0021398157 0.3033319976 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.559793739 -0.00735976 0.3030710004 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo1.3433053859 -0.367476832 1.34330538598.5320260815 8.8866358362 8.8866358362244.88778056 295.65863595 295.65863595

62.831853072

Page 199: Hojas de Calculo Fransua

0.0159154943629.74466577

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

140.60368467 0.5 0.4 0 0.0000 0 5.0000 5-446.2807391 8.5320260815 0.8516013041 0.1 5.0000 250.0566 3.6603 8.256614540.5464165 1.2801994416 1.3422125802 0.2 8.6603 -837.3589 1.3397 -9.057642

-448.85560761 -1.258343328 1.3433053859 0.3 10.0000 2233.47 -1.3397 27.9842214.44985043 0.7876543473 1.3197709369 0.4 8.6603 -6244.01 -3.6603 -85.55451118.10777372 -8.886635836 0.9148218624 0.5 5.0000 17064.35 -5.0000 216.8326

-165.94777564 -1.933044812 0.37383783 0.6 0.0000 -46890.61 0.0000 -612.9178-24.75184309 2.6285461157 0.4086128952 0.7 0.0000 129001.2 0.0000 1683.659195.8849292 -2.344843893 0.4227980063 0.8 0.0000 -354259 0.0000 -4622.764

-287.34306575 1.2384204037 0.3674768319 0.9 0.0000 972642.8 0.0000 12691.83270.89145555 0.248777873 0.4418367457 1 0.0000 -2670386 0.0000 -34845.27

-158.47671498 -1.563445168 0.376103381 1.1 0.0000 7331509 0.0000 95667.17-4.3034134842 2.2450688195 0.4101845636 1.2 0.0000 -2E+07 0.0000 -262653156.39917588 -2.085423617 0.4181668237 1.3 0.0000 55262633 0.0000 721109.3

-244.01205836 1.188872067 0.3733392462 1.4 0.0000 -1.52E+08 0.0000 -1979795239.42905207 0.0825236265 0.4369090309 1.5 0.0000 4.17E+08 0.0000 5435497

-149.46900734 -1.252975129 0.3783864558 1.6 0.0000 -1.14E+09 0.0000-1492307711.103749264 1.9095283533 0.411214117 1.7 0.0000 3.14E+09 0.0000 40971085123.45934883 -1.846231069 0.4143789812 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08-206.3058781 1.1261644142 0.3783756485 1.9 0.0000 2.37E+10 0.0000 3.09E+08210.71034188 -0.043766566 0.4324955409 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-139.50441197 -0.993474358 0.3806334947 2.1 0.0000 1.78E+11 0.0000 2.33E+0922.403588541 1.6171143459 0.4118154941 2.2 0.0000 -4.9E+11 0.0000 -6.39E+0996.131254538 -1.627338122 0.4113043053 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-173.62422028 1.0549515645 0.3826849774 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10184.66485658 -0.137407036 0.4285622039 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-129.03773372 -0.777733822 0.382805161 2.6 0.0000 -2.78E+13 0.0000 -3.63E+1130.384005758 1.3632955362 0.4120832467 2.7 0.0000 7.64E+13 0.0000 9.97E+1173.594410688 -1.428361504 0.4088299483 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-145.40930693 0.978902278 0.386356987 2.9 0.0000 5.76E+14 0.0000 7.51E+12161.18225912 -0.204578752 0.4250731633 3 0.0000 -1.58E+15 0.0000 -2.06E+13-118.4204019 -0.599412173 0.384873617 3.1 0.0000 4.34E+15 0.0000 5.66E+1335.706561282 1.1438472664 0.4120953717 3.2 0.0000 -1.19E+16 0.0000 -1.56E+1455.131164013 -1.248585324 0.4068584688 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-121.14722011 0.9008683494 0.38947262 3.4 0.0000 -9E+16 0.0000 -1.17E+15140.1247293 -0.250480781 0.4219919984 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-107.91885739 -0.452954453 0.3868202367 3.6 0.0000 -6.77E+17 0.0000 -8.84E+1538.923949539 0.9548654713 0.4119157876 3.7 0.0000 1.86E+18 0.0000 2.43E+1640.116326073 -1.087059997 0.4053060613 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-100.36795589 0.8230283155 0.3921044772 3.9 0.0000 1.4E+19 0.0000 1.83E+17

Δůi

L1352
el tiempo lo vamos a variar
M1352
ESTE ES EL DATO QUE VA A VARIAR
O1352
este dato no es igual al de la segunda columna?
I1353
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N1353
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 200: Hojas de Calculo Fransua

121.33683152 -0.279464863 0.4192826499 4 0.0000 -3.85E+19 0.0000 -5E+17-97.730153327 -0.333514261 0.3886336937 4.1 0.0000 1.06E+20 0.0000 1.38E+18

40.49543084 0.7927702517 0.4115964932 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1828.007420193 -0.94268136 0.4041009378 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-82.6445194 0.7470095791 0.3943173487 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19104.65328432 -0.295154442 0.4169101056 4.5 0.0000 6E+21 0.0000 7.83E+19

-87.995133073 -0.236880216 0.3903083727 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2040.800400639 0.654301571 0.4111794404 4.7 0.0000 4.52E+22 0.0000 5.9E+2018.335596077 -0.814253263 0.4031818558 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-67.591320805 0.6739917385 0.3961687796 4.9 0.0000 3.41E+23 0.0000 4.45E+2189.904991248 -0.300549496 0.4148408917 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-78.809509928 -0.159407209 0.3918430565 5.1 0.0000 2.57E+24 0.0000 3.35E+2240.150271684 0.5365091447 0.4106981533 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2210.697240117 -0.700536414 0.4024967898 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-54.862082595 0.6047936172 0.3977096499 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2376.923639748 -0.298118475 0.413043407 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-70.233136884 -0.09795271 0.3932398477 5.6 0.0000 -4E+26 0.0000 -5.23E+2438.798836773 0.4367381981 0.4101791221 5.7 0.0000 1.1E+27 0.0000 1.44E+254.7462873737 -0.600285899 0.4020017371 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-44.147425712 0.5399462111 0.3989847527 5.9 0.0000 8.3E+27 0.0000 1.08E+2665.545128517 -0.289878596 0.4114881335 6 0.0000 -2.28E+28 0.0000 -3E+26

-62.297721189 -0.049818262 0.3945032906 6.1 0.0000 6.25E+28 0.0000 8.16E+2636.951270469 0.3526124376 0.4096429993 6.2 0.0000 -1.72E+29 0.0000 -2.24E+270.1872246056 -0.512279399 0.4016596513 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-35.172267247 0.4797535191 0.4000333573 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2855.612043694 -0.277465695 0.4101477485 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-55.013208087 -0.012696088 0.3956396593 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2934.771917633 0.2820153007 0.40910562 6.7 0.0000 2.68E+31 0.0000 3.49E+29-3.231238492 -0.435337834 0.4014394933 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29-27.69313299 0.4243429888 0.4008897511 6.9 0.0000 2.02E+32 0.0000 2.63E+3046.975369365 -0.262194763 0.4089971624 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-48.373030398 0.0153793045 0.3966563895 7.1 0.0000 1.52E+33 0.0000 1.99E+3132.391005692 0.22307032 0.4085788707 7.2 0.0000 -4.18E+33 0.0000 -5.45E+31

-5.7218613309 -0.3683399 0.4013153917 7.3 0.0000 1.15E+34 0.0000 1.5E+32-21.495464117 0.3737070984 0.4015837516 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3239.495587782 -0.245112176 0.4080134978 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.358395653 0.0360747333 0.3975616257 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3329.910406287 0.1741212488 0.4080714248 7.7 0.0000 6.52E+35 0.0000 8.5E+33

-7.4639650497 -0.310231704 0.401265902 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34-16.390977448 0.3277374052 0.4021411871 7.9 0.0000 4.91E+36 0.0000 6.41E+3433.043298842 -0.227040611 0.4071760268 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-36.941760109 0.0507974432 0.3983638684 8.1 0.0000 3.7E+37 0.0000 4.83E+3527.408560948 0.1337124337 0.4075893623 8.2 0.0000 -1E+38 0.0000 -1.33E+36

-8.6079665519 -0.260032534 0.4012733573 8.3 0.0000 2.79E+38 0.0000 3.64E+36-12.215122689 0.2862522182 0.4025843415 8.4 0.0000 -7.66E+38 0.0000 -1E+3727.499466169 -0.208617492 0.4064660778 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-32.089618992 0.0607299725 0.3990717018 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3724.944674583 0.1005697955 0.4071366902 8.7 0.0000 1.59E+40 0.0000 2.07E+38

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-9.2793965726 -0.216837602 0.4013232999 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-8.8246670418 0.2490189011 0.4029323649 8.9 0.0000 1.2E+41 0.0000 1.56E+3922.755378267 -0.190327777 0.4058669211 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-27.764724552 0.0668611071 0.3996935876 9.1 0.0000 9.01E+41 0.0000 1.18E+4022.562270345 0.0735826765 0.4067157768 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40

-9.5824447998 -0.179818464 0.4014039874 9.3 0.0000 6.79E+42 0.0000 8.86E+40-6.0954272335 0.2157716718 0.4032016478 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4118.712397099 -0.172531794 0.4053636417 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-23.927827837 0.0700132344 0.4002377137 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4220.292189644 0.0517867254 0.4063277117 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-9.6030744565 -0.148221693 0.4015059633 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-3.920160766 0.1862256474 0.403406161 9.9 0.0000 2.91E+45 0.0000 3.8E+4315.281552885 -0.155488773 0.4049430047 10 0.0000 -8E+45 0.0000 -1E+44

-20.539026254 0.0708664124 0.4007118867 10.1 0.0000 2.19E+46 0.0000 2.86E+4418.155112027 0.0343479295 0.4059726038 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-9.4117473726 -0.121366265 0.401621687 10.3 0.0000 1.65E+47 0.0000 2.16E+45-2.2066218343 0.1600877737 0.4035577625 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4512.383032458 -0.139376648 0.4045933187 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-17.558786875 0.069979461 0.4011234594 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4616.16366121 0.0205478495 0.4056498249 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-9.0657986638 -0.098640045 0.4017452151 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-0.8757824227 0.1370651873 0.4036664722 10.9 0.0000 7.08E+49 0.0000 9.23E+479.9455989044 -0.124308635 0.4043042999 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-14.948704864 0.0678083678 0.4014792865 11.1 0.0000 5.33E+50 0.0000 6.96E+4814.324155812 0.0097700721 0.4053582085 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-8.6114978548 -0.079495676 0.4018719283 11.3 0.0000 4.02E+51 0.0000 5.25E+490.1397845846 0.1168714734 0.4037407182 11.4 0.0000 -1.1E+52 0.0000 -1.44E+50

7.905972251 -0.11034704 0.4040669398 11.5 0.0000 3.03E+52 0.0000 3.96E+50-12.6720472 0.0647222874 0.4017857022 11.6 0.0000 -8.32E+52 0.0000 -1.09E+51

12.638056303 0.0014878678 0.4050962099 11.7 0.0000 2.28E+53 0.0000 2.98E+51-8.085830793 -0.063446097 0.4019982985 11.8 0.0000 -6.27E+53 0.0000 -8.18E+510.8973661411 0.0992312144 0.4037875544 11.9 0.0000 1.72E+54 0.0000 2.25E+526.2081943104 -0.097514707 0.4038733797 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-10.694123892 0.0610173939 0.4020485141 12.1 0.0000 1.3E+55 0.0000 1.69E+5311.10315328 -0.004746984 0.4048620346 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-7.5180340798 -0.050059893 0.4021216907 12.3 0.0000 9.78E+55 0.0000 1.28E+541.4454213737 0.0838831586 0.403812854 12.4 0.0000 -2.69E+56 0.0000 -3.51E+544.8029953337 -0.085804425 0.4037167907 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-8.9825219939 0.0569288262 0.4022730107 12.6 0.0000 -2E+57 0.0000 -2.64E+559.7145364234 -0.009314255 0.4046537392 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-6.9309111185 -0.038956615 0.4022401957 12.8 0.0000 -1.53E+58 0.0000 -2E+561.8247545186 0.0705822897 0.4038214794 12.9 0.0000 4.19E+58 0.0000 5.47E+563.6471756602 -0.075186635 0.4035912621 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-7.5072318485 0.052640949 0.4024639778 13.1 0.0000 3.16E+59 0.0000 4.12E+578.4653783402 -0.012534276 0.4044693115 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-6.3419562666 -0.029802177 0.4023524888 13.3 0.0000 2.38E+60 0.0000 3.11E+582.0695582002 0.059101026 0.4038174313 13.4 0.0000 -6.54E+60 0.0000 -8.53E+582.7030119096 -0.065615674 0.4034916988 13.5 0.0000 1.79E+61 0.0000 2.34E+59

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-6.2406898767 0.0482961307 0.4026257217 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.3475628894 -0.014675962 0.4043067301 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-5.7643110675 -0.022304405 0.4024577117 13.8 0.0000 -3.71E+62 0.0000 -4.85E+602.2083371398 0.0492297434 0.4038039786 13.9 0.0000 1.02E+63 0.0000 1.33E+61

1.937694343 -0.057034804 0.4034137256 14 0.0000 -2.8E+63 0.0000 -3.65E+61-5.1577579593 0.0440022218 0.4027620964 14.1 0.0000 7.69E+63 0.0000 1E+62

6.352183503 -0.015963933 0.4041640109 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62-5.2075741302 -0.01620881 0.4025553737 14.3 0.0000 5.79E+64 0.0000 7.56E+622.2647224266 0.0407767812 0.4037837723 14.4 0.0000 -1.59E+65 0.0000 -2.08E+631.3227996815 -0.049380213 0.4033536007 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-4.2356557675 0.0398388988 0.402876535 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.4699334173 -0.016584794 0.4040392402 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-4.6784839626 -0.011294604 0.4026452703 14.8 0.0000 -9E+66 0.0000 -1.18E+652.2581862923 0.0335680581 0.403758943 14.9 0.0000 2.48E+67 0.0000 3.24E+650.8338018318 -0.042584163 0.4033081378 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-3.4538593144 0.0358630221 0.4029720807 15.1 0.0000 1.87E+68 0.0000 2.44E+664.6914065449 -0.016692667 0.4039305985 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-4.1814919531 -0.007370994 0.4027274154 15.3 0.0000 1.41E+69 0.0000 1.84E+672.2046669799 0.0274464077 0.4037311861 15.4 0.0000 -3.87E+69 0.0000 -5.05E+670.4496215363 -0.036577439 0.4032746345 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-2.7939763924 0.0321131404 0.4030514196 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.0073249482 -0.016414023 0.4038363755 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.7192407417 -0.004273759 0.4028019864 15.8 0.0000 -2.2E+71 0.0000 -2.87E+692.1171128233 0.0222707157 0.4037018342 15.9 0.0000 6.04E+71 0.0000 7.88E+690.1522148729 -0.031291206 0.4032508097 16 0.0000 -1.66E+72 0.0000 -2.16E+70-2.239607382 0.0286132578 0.4031169123 16.1 0.0000 4.55E+72 0.0000 5.94E+703.408706441 -0.015851904 0.40375498 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.2929614354 -0.001862113 0.4028692791 16.3 0.0000 3.43E+73 0.0000 4.48E+712.0059541069 0.017914928 0.4036719199 16.4 0.0000 -9.42E+73 0.0000 -1.23E+72

-0.0738002885 -0.026658397 0.4032347464 16.5 0.0000 2.59E+74 0.0000 3.37E+72-1.7761981016 0.0253759685 0.403170625 16.6 0.0000 -7.1E+74 0.0000 -9.26E+722.8869837434 -0.015089585 0.4036849441 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.9028014887 -1.58569E-05 0.402929672 16.8 0.0000 -5.35E+75 0.0000 -7E+731.879510676 0.0142669841 0.4036422284 16.9 0.0000 1.47E+76 0.0000 1.92E+74

-0.2414813612 -0.022614715 0.4032248418 17 0.0000 -4E+76 0.0000 -5.26E+74-1.3908898648 0.0224050507 0.4032143586 17.1 0.0000 1.11E+77 0.0000 1.44E+752.4340847862 -0.014193744 0.4036249239 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5480935985 0.0013672064 0.402983597 17.3 0.0000 8.35E+77 0.0000 1.09E+761.7443426522 0.0112277167 0.4036133432 17.4 0.0000 -2.29E+78 0.0000 -3E+76

-0.3618635435 -0.01909932 0.403219763 17.5 0.0000 6.29E+78 0.0000 8.21E+76-1.0723706763 0.0196975981 0.4032496769 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.0424821914 -0.013217194 0.4035736971 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2275746315 0.0023735887 0.4030315168 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.6055509875 0.0087097499 0.4035856837 17.9 0.0000 3.57E+80 0.0000 4.66E+78

-0.4442299167 -0.016055271 0.4032184076 18 0.0000 -9.81E+80 0.0000 -1.28E+79-0.8107304825 0.0172457614 0.4032779322 18.1 0.0000 2.69E+81 0.0000 3.52E+791.7052186002 -0.012201226 0.4035301589 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-1.9395624158 0.0030761924 0.4030739072 18.3 0.0000 2.03E+82 0.0000 2.65E+80

Page 203: Hojas de Calculo Fransua

1.4670339779 0.00663642 0.4035595379 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80-0.4963514567 -0.013429774 0.4032198702 18.5 0.0000 1.53E+83 0.0000 2E+81-0.5973225772 0.0150381576 0.4033002893 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.4159133688 -0.011177612 0.4034933166 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.6820971691 0.0035361575 0.4031112439 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.3317052712 0.0049407372 0.4035350886 18.9 0.0000 8.7E+84 0.0000 1.13E+83

-0.5246993465 -0.011174278 0.4032234115 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.4246326016 0.013061003 0.4033177478 19.1 0.0000 6.56E+85 0.0000 8.55E+831.1687551649 -0.010170313 0.4034622823 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.4530533964 0.0038044984 0.4031439915 19.3 0.0000 4.94E+86 0.0000 6.45E+841.2016783419 0.0035643987 0.4035124364 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.5346319713 -0.009244454 0.4032284336 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.2861560502 0.0112990122 0.4033311615 19.6 0.0000 -1E+88 0.0000 -1.33E+860.9584841638 -0.009196923 0.403436266 19.7 0.0000 2.81E+88 0.0000 3.66E+86-1.250227262 0.0039235478 0.4031725973 19.8 0.0000 -7.71E+88 0.0000 -1E+871.0784218806 0.0024568635 0.4034916178 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.5305589266 -0.00760009 0.4032344565 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo1.4448241238 -0.466902692 1.44482412388.4555655425 8.7999899798 8.7999899798239.33927046 290.0580037 290.0580037

62.8318530720.0159154943630.02589266

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

137.06591556 0.6 0.5 0 0.0000 0 5.0000 5-437.14661691 8.4555655425 0.9527782771 0.1 5.0000 250.0566 3.6603 8.256614529.39727417 1.3070960178 1.4409113551 0.2 8.6603 -837.3589 1.3397 -9.057642

-439.79226889 -1.228840644 1.4448241238 0.3 10.0000 2233.47 -1.3397 27.9842210.5967381 0.7154729578 1.4191557395 0.4 8.6603 -6244.01 -3.6603 -85.55451

115.66526767 -8.79998998 1.0149298884 0.5 5.0000 17064.35 -5.0000 216.8326-158.43693733 -2.002352629 0.474812758 0.6 0.0000 -46890.61 0.0000 -612.9178-34.359931538 2.6567012393 0.5075301885 0.7 0.0000 129001.2 0.0000 1683.659204.03599965 -2.324088336 0.5241608336 0.8 0.0000 -354259 0.0000 -4622.764

-291.20365253 1.1789254935 0.4669026915 0.9 0.0000 972642.8 0.0000 12691.83

Δůi

L1574
el tiempo lo vamos a variar
M1574
ESTE ES EL DATO QUE VA A VARIAR
O1574
este dato no es igual al de la segunda columna?
I1575
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N1575
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 204: Hojas de Calculo Fransua

269.32182099 0.3235566793 0.5420268001 1 0.0000 -2670386 0.0000 -34845.27-152.34333367 -1.625903712 0.4769094485 1.1 0.0000 7331509 0.0000 95667.17-12.550470834 2.2735602629 0.5092922761 1.2 0.0000 -2E+07 0.0000 -262653163.69150651 -2.071665988 0.5193869898 1.3 0.0000 55262633 0.0000 721109.3

-247.79511527 1.1401595459 0.4728116677 1.4 0.0000 -1.52E+08 0.0000 -1979795238.54693762 0.1468046417 0.5371598771 1.5 0.0000 4.17E+08 0.0000 5435497

-144.49931523 -1.308959145 0.479052152 1.6 0.0000 -1.14E+09 0.0000-149230774.0535917604 1.9376581882 0.5104871041 1.7 0.0000 3.14E+09 0.0000 40971085129.95151961 -1.838010652 0.5154694809 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-209.94941202 1.0865760761 0.4778977521 1.9 0.0000 2.37E+10 0.0000 3.09E+08210.36212784 0.0112681837 0.5327899651 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-135.51325432 -1.043403917 0.4811831784 2.1 0.0000 1.78E+11 0.0000 2.33E+0916.401635469 1.6443676574 0.5112313654 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09101.88436727 -1.623441711 0.5122776628 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-177.08480679 1.0230490587 0.4822580302 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10184.72399597 -0.090482148 0.5288863757 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-125.86537187 -0.822053896 0.4832595735 2.6 0.0000 -2.78E+13 0.0000 -3.63E+1125.296323877 1.3893055611 0.5116221568 2.7 0.0000 7.64E+13 0.0000 9.97E+1178.670140241 -1.427787382 0.5096980658 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-148.65836338 0.9534428818 0.4859808408 2.9 0.0000 5.76E+14 0.0000 7.51E+12161.54520543 -0.164738012 0.5254160843 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-115.92957168 -0.638576802 0.4852503436 3.1 0.0000 4.34E+15 0.0000 5.66E+1331.413157134 1.1683660947 0.5117398082 3.2 0.0000 -1.19E+16 0.0000 -1.56E+1459.590286398 -1.250511735 0.5076325262 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-124.16789473 0.8807826115 0.48914607 3.4 0.0000 -9E+16 0.0000 -1.17E+15140.70739149 -0.216803459 0.5223450276 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-105.99208214 -0.487414691 0.4871341201 3.6 0.0000 -6.77E+17 0.0000 -8.84E+1535.317853374 0.9777395442 0.5116503628 3.7 0.0000 1.86E+18 0.0000 2.43E+1644.017635479 -1.090817659 0.5059964571 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-103.15254549 0.807399581 0.4918255532 3.9 0.0000 1.4E+19 0.0000 1.83E+17122.07150002 -0.25112868 0.5196390983 4 0.0000 -3.85E+19 0.0000 -5E+17

-96.267305461 -0.363709214 0.4888972036 4.1 0.0000 1.06E+20 0.0000 1.38E+1837.481730107 0.8139199794 0.5114077418 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1831.406960572 -0.947729595 0.5047172611 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-85.192338249 0.7350553649 0.4940835496 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19105.48597615 -0.271428559 0.5172648898 4.5 0.0000 6E+21 0.0000 7.83E+19

-86.911234284 -0.263230588 0.4905319325 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2038.295256516 0.6737044755 0.5110556268 4.7 0.0000 4.52E+22 0.0000 5.9E+2021.286144879 -0.820159349 0.5037328832 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-69.906953601 0.6650468962 0.4959772605 4.9 0.0000 3.41E+23 0.0000 4.45E+2190.793166104 -0.280787295 0.5151902406 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-78.032757488 -0.18231086 0.4920353328 5.1 0.0000 2.57E+24 0.0000 3.35E+2238.079944075 0.5541860047 0.51062909 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2213.247991976 -0.706957801 0.5029905002 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-56.953962489 0.5982951962 0.49755737 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2377.834243122 -0.281750332 0.5133846132 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-69.703141772 -0.117781829 0.4934080051 5.6 0.0000 -4E+26 0.0000 -5.23E+2437.098736658 0.4527417414 0.5101560007 5.7 0.0000 1.1E+27 0.0000 1.44E+25

Page 205: Hojas de Calculo Fransua

6.9426943562 -0.606954944 0.5024453406 5.8 0.0000 -3E+27 0.0000 -3.94E+25-46.026686506 0.5354199219 0.4988685895 5.9 0.0000 8.3E+27 0.0000 1.08E+26

66.45292186 -0.27640482 0.5118193446 6 0.0000 -2.28E+28 0.0000 -3E+26-61.963942808 -0.066917794 0.4946532139 6.1 0.0000 6.25E+28 0.0000 8.16E+2635.565053119 0.3670181844 0.5096582334 6.2 0.0000 -1.72E+29 0.0000 -2.24E+272.0709571532 -0.518990322 0.5020596265 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-36.851825611 0.476801686 0.4999501948 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2856.498185538 -0.266449729 0.5104677926 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-54.833569906 -0.027383148 0.4957761487 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2933.650625983 0.2949142147 0.5091527021 6.7 0.0000 2.68E+31 0.0000 3.49E+29

-1.6222393849 -0.441935619 0.5018016319 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29-29.186962717 0.4226338777 0.5008365448 6.9 0.0000 2.02E+32 0.0000 2.63E+3047.826214923 -0.253256731 0.5093054022 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-48.312700913 0.0028152707 0.4967833291 7.1 0.0000 1.52E+33 0.0000 1.99E+3131.492269698 0.2345629729 0.5086522413 7.2 0.0000 -4.18E+33 0.0000 -5.45E+31

-4.3532647361 -0.374710886 0.5016448457 7.3 0.0000 1.15E+34 0.0000 1.5E+32-22.818029823 0.3729655038 0.5015575766 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3240.301678041 -0.237922835 0.5083097101 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.388719404 0.0253712379 0.4976821302 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3329.197701478 0.1843132422 0.5081663542 7.7 0.0000 6.52E+35 0.0000 8.5E+33-6.304882964 -0.31629565 0.5015672338 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34

-17.556799886 0.3277363838 0.5021392705 7.9 0.0000 4.91E+36 0.0000 6.41E+3433.798513324 -0.221315725 0.5074603035 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-37.0393241 0.041717838 0.4984804091 8.1 0.0000 3.7E+37 0.0000 4.83E+3526.850527246 0.1427108622 0.5077018441 8.2 0.0000 -1E+38 0.0000 -1.33E+36

-7.6307545843 -0.265735956 0.5015505894 8.3 0.0000 2.79E+38 0.0000 3.64E+36-13.238451986 0.2868058584 0.5026040845 8.4 0.0000 -7.66E+38 0.0000 -1E+3728.200316528 -0.204112656 0.5067387447 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-32.235440617 0.0530620577 0.4991862148 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3724.514494959 0.1084805664 0.507263346 8.7 0.0000 1.59E+40 0.0000 2.07E+38

-8.4594348301 -0.222148208 0.5015799639 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-9.7192438081 0.2499760243 0.5029713547 8.9 0.0000 1.2E+41 0.0000 1.56E+3923.400422554 -0.186833675 0.5061284722 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-27.943548012 0.0604155622 0.4998075665 9.1 0.0000 9.01E+41 0.0000 1.18E+4022.237107637 0.0805085269 0.506853771 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40

-8.8979086609 -0.184720527 0.5016431709 9.3 0.0000 6.79E+42 0.0000 8.86E+40-6.874314613 0.2170103675 0.503257663 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4119.301757031 -0.169869901 0.5056146863 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-24.127516955 0.0646219505 0.5003522887 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4220.052679086 0.0578258063 0.5064746766 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-9.0347027068 -0.152712231 0.5017303553 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-4.5956332473 0.1876485499 0.5034771712 9.9 0.0000 2.91E+45 0.0000 3.8E+43

15.81651864 -0.153507467 0.5051842254 10 0.0000 -8E+45 0.0000 -1E+44-20.75004256 0.0663807866 0.5008278914 10.1 0.0000 2.19E+46 0.0000 2.86E+4417.984906414 0.0395928437 0.5061265729 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-8.9426133576 -0.125451906 0.5018336198 10.3 0.0000 1.65E+47 0.0000 2.16E+45-2.7900989564 0.1616179962 0.5036419243 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4512.865741527 -0.137947717 0.5048254382 10.5 0.0000 1.25E+48 0.0000 1.63E+46

Page 206: Hojas de Calculo Fransua

-17.773742795 0.0662686985 0.5012414873 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4616.049025281 0.0250850506 0.5058091748 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-8.6810886292 -0.102334473 0.5019467036 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-1.3777975347 0.1386428359 0.5037621218 10.9 0.0000 7.08E+49 0.0000 9.23E+4710.378777338 -0.123324163 0.5045280554 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-15.161982772 0.0647578275 0.5015997386 11.1 0.0000 5.33E+50 0.0000 6.96E+4814.25360623 0.0136795467 0.5055216073 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-8.2982994426 -0.082817561 0.5020647066 11.3 0.0000 4.02E+51 0.0000 5.25E+49-0.2904113612 0.1184506704 0.503846362 11.4 0.0000 -1.1E+52 0.0000 -1.44E+50

8.292728193 -0.109716638 0.5042830637 11.5 0.0000 3.03E+52 0.0000 3.96E+50-12.879476003 0.0622318947 0.5019088265 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.602043535 0.0048430371 0.5052625731 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-7.8329336968 -0.066417444 0.5021838527 11.8 0.0000 -6.27E+53 0.0000 -8.18E+510.5302210798 0.1007775671 0.5039018589 11.9 0.0000 1.72E+54 0.0000 2.25E+526.5518551383 -0.097163053 0.5040825846 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-10.892705666 0.0590001382 0.5021744389 12.1 0.0000 1.3E+55 0.0000 1.69E+5311.093781707 -0.001879197 0.5050304859 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-7.3157441013 -0.052704731 0.5023012895 12.3 0.0000 9.78E+55 0.0000 1.28E+541.1334027055 0.0853716165 0.5039346338 12.4 0.0000 -2.69E+56 0.0000 -3.51E+545.1069809718 -0.085669106 0.5039197593 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-9.1702019948 0.0553093547 0.5024017717 12.6 0.0000 -2E+57 0.0000 -2.64E+559.7253191081 -0.006873235 0.5048235777 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-6.7708782612 -0.04129997 0.5024149175 12.8 0.0000 -1.53E+58 0.0000 -2E+561.5607403283 0.0719953381 0.5039496859 12.9 0.0000 4.19E+58 0.0000 5.47E+563.9149017042 -0.075216251 0.5037886402 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-7.6827059512 0.0513542623 0.5025955408 13.1 0.0000 3.16E+59 0.0000 4.12E+578.4910230327 -0.010465437 0.5046399821 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-6.2170170465 -0.031869283 0.5025232461 13.3 0.0000 2.38E+60 0.0000 3.11E+581.8471809995 0.0604271714 0.5039511406 13.4 0.0000 -6.54E+60 0.0000 -8.53E+582.9378171676 -0.065768177 0.5036840903 13.5 0.0000 1.79E+61 0.0000 2.34E+59-6.403244202 0.0472863829 0.5027600006 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.3837860351 -0.012930409 0.5044777993 13.7 0.0000 1.35E+62 0.0000 1.77E+60-5.668344866 -0.024120109 0.5026252734 13.8 0.0000 -3.71E+62 0.0000 -4.85E+602.0219315633 0.0504622493 0.5039423804 13.9 0.0000 1.02E+63 0.0000 1.33E+612.1427882217 -0.057276057 0.50360169 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-5.3071360535 0.0432216249 0.5028989684 14.1 0.0000 7.69E+63 0.0000 1E+626.395549228 -0.014498084 0.5043351454 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-5.1353731563 -0.017797135 0.5027203845 14.3 0.0000 5.79E+64 0.0000 7.56E+622.1092709406 0.0419126185 0.5039261587 14.4 0.0000 -1.59E+65 0.0000 -2.08E+631.5012255684 -0.049682739 0.5035376526 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-4.3719492798 0.0392467287 0.5030158521 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.5177146857 -0.015359989 0.5042101891 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-4.6256362083 -0.012678437 0.5028082678 14.8 0.0000 -9E+66 0.0000 -1.18E+652.1292645851 0.0346070399 0.503904698 14.9 0.0000 2.48E+67 0.0000 3.24E+650.9884132457 -0.042926065 0.5034887467 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-3.5774186266 0.0354247219 0.5031136796 15.1 0.0000 1.87E+68 0.0000 2.44E+664.741465913 -0.01567476 0.5041011776 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-4.1442763993 -0.008571878 0.5028888457 15.3 0.0000 1.41E+69 0.0000 1.84E+67

Page 207: Hojas de Calculo Fransua

2.0983902892 0.0283904794 0.5038797758 15.4 0.0000 -3.87E+69 0.0000 -5.05E+670.583068354 -0.036941468 0.5034522263 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-2.9053381149 0.0317995161 0.5031951287 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.0580125612 -0.015572988 0.5040064551 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.6945339963 -0.005311769 0.5029622173 15.8 0.0000 -2.2E+71 0.0000 -2.87E+692.0300841215 0.023123378 0.5038527978 15.9 0.0000 6.04E+71 0.0000 7.88E+690.2669373989 -0.031663969 0.5034257682 16 0.0000 -1.66E+72 0.0000 -2.16E+70

-2.3394360434 0.0283997603 0.5032625578 16.1 0.0000 4.55E+72 0.0000 5.94E+703.4587731409 -0.015161443 0.5039244737 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.2781549427 -0.002755791 0.503028612 16.3 0.0000 3.43E+73 0.0000 4.48E+711.935214793 0.0186807709 0.503824861 16.4 0.0000 -9.42E+73 0.0000 -1.23E+72

0.0244287488 -0.027029675 0.5034074158 16.5 0.0000 2.59E+74 0.0000 3.37E+72-1.8652397236 0.0252420565 0.5033180349 16.6 0.0000 -7.1E+74 0.0000 -9.26E+722.9355073645 -0.014526761 0.5038537997 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.8957284396 -0.000782196 0.5030883518 16.8 0.0000 -5.35E+75 0.0000 -7E+731.822494207 0.0149513147 0.5037968077 16.9 0.0000 1.47E+76 0.0000 1.92E+74

-0.1577199464 -0.022976886 0.5033955291 17 0.0000 -4E+76 0.0000 -5.26E+74-1.4699354387 0.0223336262 0.5033633662 17.1 0.0000 1.11E+77 0.0000 1.44E+752.4804079146 -0.013738631 0.5037931159 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5469646789 0.0007127361 0.5031418212 17.3 0.0000 8.35E+77 0.0000 1.09E+761.6988313738 0.0118362648 0.5037692712 17.4 0.0000 -2.29E+78 0.0000 -3E+76

-0.2907409908 -0.019446872 0.5033887409 17.5 0.0000 6.29E+78 0.0000 8.21E+76-1.1422278402 0.0196745107 0.5034001228 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.0861598501 -0.012852548 0.5037412209 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2309217737 0.0018169931 0.5031894432 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.5696362912 0.0092484384 0.5037427148 17.9 0.0000 3.57E+80 0.0000 4.66E+78

-0.3841044623 -0.01638439 0.5033859172 18 0.0000 -9.81E+80 0.0000 -1.28E+79-0.8722019517 0.0172593722 0.5034296662 18.1 0.0000 2.69E+81 0.0000 3.52E+791.7459744947 -0.011912186 0.5036970256 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-1.9461897556 0.0026048831 0.5032316604 18.3 0.0000 2.03E+82 0.0000 2.65E+801.4390798068 0.0071111892 0.503717464 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80

-0.4457567358 -0.013738002 0.5033861234 18.5 0.0000 1.53E+83 0.0000 2E+81-0.6511900959 0.0150789599 0.5034531713 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.4536034858 -0.01095142 0.5036595483 18.7 0.0000 1.15E+84 0.0000 1.51E+82-1.691038454 0.0031388704 0.5032689208 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.3103149191 0.0053574121 0.5036937349 18.9 0.0000 8.7E+84 0.0000 1.13E+83

-0.4823319308 -0.011460223 0.5033885944 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.4716453748 0.0131212913 0.5034716478 19.1 0.0000 6.56E+85 0.0000 8.55E+831.2033376615 -0.00999606 0.5036279094 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.4635351433 0.0034712036 0.5033016666 19.3 0.0000 4.94E+86 0.0000 6.45E+841.1856644351 0.0039285929 0.5036716564 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.4993385269 -0.009507553 0.5033927084 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.3270227815 0.011372596 0.5034859605 19.6 0.0000 -1E+88 0.0000 -1.33E+860.9899946172 -0.00906532 0.5036013243 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.2616370141 0.0036453555 0.5033303261 19.8 0.0000 -7.71E+88 0.0000 -1E+871.066779388 0.0027739112 0.5036512894 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.5013233642 -0.007840414 0.5033979642 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Page 208: Hojas de Calculo Fransua

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo1.5463428969 -0.566328631 1.54634289698.3791067624 8.713343953 8.713343953233.79080091 284.4573009 284.4573009

62.8318530720.0159154943630.31942609

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

133.52778823 0.7 0.6 0 0.0000 0 5.0000 5-428.01226264 8.3791067624 1.0539553381 0.1 5.0000 250.0566 3.6603 8.256614518.24810181 1.3339898042 1.5396101665 0.2 8.6603 -837.3589 1.3397 -9.057642-430.7291016 -1.199335195 1.5463428969 0.3 10.0000 2233.47 -1.3397 27.9842206.74392601 0.6432898156 1.5185406279 0.4 8.6603 -6244.01 -3.6603 -85.55451113.22244719 -8.713343953 1.115037921 0.5 5.0000 17064.35 -5.0000 216.8326

-150.92588366 -2.071659061 0.5757877703 0.6 0.0000 -46890.61 0.0000 -612.9178-43.968064822 2.6848540068 0.6064475176 0.7 0.0000 129001.2 0.0000 1683.659212.18693794 -2.303330349 0.6255237005 0.8 0.0000 -354259 0.0000 -4622.764

-295.06398737 1.1194289513 0.5663286306 0.9 0.0000 972642.8 0.0000 12691.83267.75191155 0.3983357798 0.6422168671 1 0.0000 -2670386 0.0000 -34845.27

-146.20975414 -1.688361183 0.577715597 1.1 0.0000 7331509 0.0000 95667.17-20.797583155 2.3020497258 0.6084000242 1.2 0.0000 -2E+07 0.0000 -262653170.98373725 -2.05790623 0.6206071989 1.3 0.0000 55262633 0.0000 721109.3

-251.57796185 1.0914455185 0.5722841634 1.4 0.0000 -1.52E+08 0.0000 -1979795237.66458384 0.2110860377 0.6374107412 1.5 0.0000 4.17E+08 0.0000 5435497

-139.52944201 -1.364942343 0.5797179259 1.6 0.0000 -1.14E+09 0.0000-14923077-2.9966271218 1.9657863667 0.609760127 1.7 0.0000 3.14E+09 0.0000 40971085136.44361681 -1.82978838 0.6165600264 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08-213.5927713 1.0469863581 0.5774199253 1.9 0.0000 2.37E+10 0.0000 3.09E+08210.01370625 0.0663033712 0.6330844118 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-131.52193229 -1.093332868 0.5817329369 2.1 0.0000 1.78E+11 0.0000 2.33E+0910.399617541 1.6716195907 0.610647273 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09107.63742773 -1.619543688 0.6132510682 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-180.54524917 0.9911452973 0.5818311487 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10184.78295607 -0.04355679 0.629210574 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-122.69286169 -0.866373531 0.583714058 2.6 0.0000 -2.78E+13 0.0000 -3.63E+1120.208575933 1.4153144459 0.6111611037 2.7 0.0000 7.64E+13 0.0000 9.97E+11

Δůi

L1796
el tiempo lo vamos a variar
M1796
ESTE ES EL DATO QUE VA A VARIAR
O1796
este dato no es igual al de la segunda columna?
I1797
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N1797
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 209: Hojas de Calculo Fransua

83.745834587 -1.427211865 0.6105662328 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12-151.90730163 0.9279823504 0.585604757 2.9 0.0000 5.76E+14 0.0000 7.51E+12

161.9079975 -0.124896786 0.6257590352 3 0.0000 -1.58E+15 0.0000 -2.06E+13-113.43860835 -0.677741129 0.5856271395 3.1 0.0000 4.34E+15 0.0000 5.66E+13

27.11968744 1.1928839858 0.6113842823 3.2 0.0000 -1.19E+16 0.0000 -1.56E+1464.04938712 -1.252436945 0.6084066344 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-127.18847314 0.8606958529 0.5888195798 3.4 0.0000 -9E+16 0.0000 -1.17E+15141.2899215 -0.18312565 0.6226980899 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-104.06518804 -0.521874736 0.5874480706 3.6 0.0000 -6.77E+17 0.0000 -8.84E+1531.711693463 1.0006128519 0.6113849764 3.7 0.0000 1.86E+18 0.0000 2.43E+1647.918933832 -1.09457429 0.6066869045 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-105.93705739 0.7917699335 0.5915466867 3.9 0.0000 1.4E+19 0.0000 1.83E+17122.80605571 -0.222792021 0.6199955823 4 0.0000 -3.85E+19 0.0000 -5E+17

-94.804351997 -0.39390406 0.5891607783 4.1 0.0000 1.06E+20 0.0000 1.38E+1834.467968349 0.8350690873 0.6112190297 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1834.806498082 -0.952776948 0.6053336367 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-87.740094951 0.7231003381 0.5938498062 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19106.31857211 -0.247702219 0.6176197121 4.5 0.0000 6E+21 0.0000 7.83E+19

-85.827242089 -0.289580919 0.5907555552 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2035.790054717 0.6931068824 0.6109318534 4.7 0.0000 4.52E+22 0.0000 5.9E+2024.236697004 -0.826064685 0.6042839633 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-72.222537233 0.6561013338 0.5957857957 4.9 0.0000 3.41E+23 0.0000 4.45E+2191.681259841 -0.261024659 0.6155396294 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-77.255922783 -0.205214521 0.5922276704 5.1 0.0000 2.57E+24 0.0000 3.35E+2236.009562544 0.5718624694 0.6105600678 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2215.798751723 -0.713378552 0.6034842637 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-59.045804 0.59179614 0.5974051431 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2378.74477817 -0.265381782 0.613725861 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-69.173074512 -0.137610995 0.5935762222 5.6 0.0000 -4E+26 0.0000 -5.23E+2435.39858659 0.4687449745 0.6101329211 5.7 0.0000 1.1E+27 0.0000 1.44E+25

9.1391124756 -0.613623452 0.6028889973 5.8 0.0000 -3E+27 0.0000 -3.94E+25-47.905917819 0.5308930748 0.5987524784 5.9 0.0000 8.3E+27 0.0000 1.08E+2667.360657931 -0.262930666 0.6121505989 6 0.0000 -2.28E+28 0.0000 -3E+26

-61.630101408 -0.0840174 0.5948031956 6.1 0.0000 6.25E+28 0.0000 8.16E+2634.178789866 0.3814236913 0.6096735101 6.2 0.0000 -1.72E+29 0.0000 -2.24E+273.9547030313 -0.525700794 0.602459655 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-38.531361795 0.473849365 0.5998670835 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2857.38427962 -0.255433414 0.6107878811 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-54.653876901 -0.042070302 0.5959126953 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2932.529292451 0.3078129468 0.6091998276 6.7 0.0000 2.68E+31 0.0000 3.49E+29

-0.0132255914 -0.448533027 0.6021638235 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29-30.68077621 0.4209243414 0.6007833892 6.9 0.0000 2.02E+32 0.0000 2.63E+3048.677020871 -0.24431838 0.6096136873 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-48.252323921 -0.009748868 0.5969103249 7.1 0.0000 1.52E+33 0.0000 1.99E+3130.593495737 0.2460554911 0.6087256561 7.2 0.0000 -4.18E+33 0.0000 -5.45E+31

-2.9846527557 -0.381081559 0.6019743527 7.3 0.0000 1.15E+34 0.0000 1.5E+32-24.140584099 0.3722235403 0.6015314517 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3241.107735647 -0.230733203 0.6086059686 7.5 0.0000 8.65E+34 0.0000 1.13E+33

Page 210: Hojas de Calculo Fransua

-42.419002152 0.0146676305 0.5978026899 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3328.484962449 0.1945051391 0.6082613284 7.7 0.0000 6.52E+35 0.0000 8.5E+33

-5.1457853002 -0.322359337 0.6018686185 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34-18.722614737 0.3277350435 0.6021374038 7.9 0.0000 4.91E+36 0.0000 6.41E+3434.553701069 -0.215590578 0.6077446271 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-37.136852841 0.0326381181 0.5985970041 8.1 0.0000 3.7E+37 0.0000 4.83E+3526.29246287 0.1517092251 0.6078143713 8.2 0.0000 -1E+38 0.0000 -1.33E+36-6.65352723 -0.271439166 0.6018278742 8.3 0.0000 2.79E+38 0.0000 3.64E+36

-14.261776738 0.287359224 0.6026238771 8.4 0.0000 -7.66E+38 0.0000 -1E+3728.901145153 -0.199607584 0.6070114591 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-32.381232061 0.0453940287 0.5993007814 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3724.084287974 0.1163912961 0.6073900476 8.7 0.0000 1.59E+40 0.0000 2.07E+38

-7.6394581756 -0.227458641 0.6018366804 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-10.613818404 0.250932912 0.6030103939 8.9 0.0000 1.2E+41 0.0000 1.56E+3924.045449324 -0.183339364 0.6063900713 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-28.122345736 0.053969906 0.5999215984 9.1 0.0000 9.01E+41 0.0000 1.18E+4021.91192064 0.0874343554 0.6069918115 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40

-8.2133582866 -0.18962245 0.6018824067 9.3 0.0000 6.79E+42 0.0000 8.86E+40-7.653201648 0.2182488622 0.6033137273 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4119.891102982 -0.167207822 0.6058657793 9.5 0.0000 5.12E+43 0.0000 6.68E+41-24.32718422 0.0592305599 0.6004669162 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4219.813147063 0.0638648801 0.6066216882 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-8.4663175348 -0.157202657 0.6019547993 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-5.2711067592 0.1890712813 0.6035482305 9.9 0.0000 2.91E+45 0.0000 3.8E+43

16.35147336 -0.151525995 0.6054254949 10 0.0000 -8E+45 0.0000 -1E+44-20.961040393 0.0618950596 0.6009439481 10.1 0.0000 2.19E+46 0.0000 2.86E+4417.814681912 0.0448377622 0.6062805892 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-8.4734668184 -0.129537459 0.6020456044 10.3 0.0000 1.65E+47 0.0000 2.16E+45-3.3735781167 0.1631480739 0.6037261351 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4513.348442008 -0.13651864 0.6050576068 10.5 0.0000 1.25E+48 0.0000 1.63E+46-17.98868317 0.0625578413 0.6013595669 10.6 0.0000 -3.42E+48 0.0000 -4.46E+46

15.9343728 0.0296222642 0.6059685722 10.7 0.0000 9.39E+48 0.0000 1.23E+47-8.2963670127 -0.106028831 0.6021482438 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-1.8798153956 0.1402203624 0.6038578203 10.9 0.0000 7.08E+49 0.0000 9.23E+4710.811949201 -0.122339564 0.6047518603 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-15.375247662 0.0617071993 0.601720242 11.1 0.0000 5.33E+50 0.0000 6.96E+4814.183042202 0.0175890399 0.605685054 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-7.9850904034 -0.086139393 0.6022575363 11.3 0.0000 4.02E+51 0.0000 5.25E+49-0.720610529 0.120029765 0.603952055 11.4 0.0000 -1.1E+52 0.0000 -1.44E+508.6794792156 -0.109086124 0.604499237 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-13.086893962 0.0597414211 0.6020320018 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.56601821 0.008198229 0.6054289844 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-7.580026918 -0.069388751 0.6023694583 11.8 0.0000 -6.27E+53 0.0000 -8.18E+510.1630725115 0.1023238343 0.6040162124 11.9 0.0000 1.72E+54 0.0000 2.25E+52

6.89551239 -0.096811301 0.6042918391 12 0.0000 -4.73E+54 0.0000 -6.17E+52-11.091278458 0.0569828086 0.6023004145 12.1 0.0000 1.3E+55 0.0000 1.69E+5311.084399262 0.000988615 0.6051989857 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-7.1134453556 -0.055349539 0.6024809395 12.3 0.0000 9.78E+55 0.0000 1.28E+54

Page 211: Hojas de Calculo Fransua

0.8213803926 0.0868600034 0.6040564627 12.4 0.0000 -2.69E+56 0.0000 -3.51E+545.4109641165 -0.085533703 0.6041227778 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-9.3578746007 0.0536898162 0.6025305834 12.6 0.0000 -2E+57 0.0000 -2.64E+559.7360924166 -0.004432189 0.6049934648 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-6.6108375111 -0.043643303 0.6025896902 12.8 0.0000 -1.53E+58 0.0000 -2E+561.2967224683 0.073408328 0.6040779414 12.9 0.0000 4.19E+58 0.0000 5.47E+564.1826261195 -0.075245793 0.6039860682 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-7.8581740072 0.0500675152 0.6027271543 13.1 0.0000 3.16E+59 0.0000 4.12E+578.5166596711 -0.008396571 0.6048107015 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-6.0920707585 -0.033936374 0.6026940543 13.3 0.0000 2.38E+60 0.0000 3.11E+581.6248001896 0.0617532689 0.604084899 13.4 0.0000 -6.54E+60 0.0000 -8.53E+583.1726214795 -0.065920617 0.6038765316 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-6.5657936204 0.0462765809 0.6028943298 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.4200022904 -0.011184828 0.6046489175 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-5.5723723666 -0.025935804 0.6027928858 13.8 0.0000 -3.71E+62 0.0000 -4.85E+601.8355225006 0.0516947162 0.6040808314 13.9 0.0000 1.02E+63 0.0000 1.33E+612.3478816859 -0.057517257 0.6037897044 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-5.4565102 0.0424409797 0.6030358905 14.1 0.0000 7.69E+63 0.0000 1E+626.4389090824 -0.01303221 0.604506329 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-5.0631665969 -0.019385455 0.6028854458 14.3 0.0000 5.79E+64 0.0000 7.56E+621.9538161356 0.0430484243 0.6040685943 14.4 0.0000 -1.59E+65 0.0000 -2.08E+631.6796514479 -0.04998522 0.6037217545 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-4.5082396479 0.0386545156 0.6031552193 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.5654909738 -0.014135159 0.6043811872 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-4.5727835221 -0.014062268 0.6029713158 14.8 0.0000 -9E+66 0.0000 -1.18E+652.0003397555 0.0356459964 0.6040505023 14.9 0.0000 2.48E+67 0.0000 3.24E+651.1430249573 -0.043267928 0.6036694057 15 0.0000 -6.81E+67 0.0000 -8.89E+65-3.700975464 0.0349863836 0.6032553285 15.1 0.0000 1.87E+68 0.0000 2.44E+664.7915210748 -0.01465683 0.6042718061 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-4.1070565094 -0.009772764 0.6030503264 15.3 0.0000 1.41E+69 0.0000 1.84E+671.9921106907 0.0293345312 0.6040284148 15.4 0.0000 -3.87E+69 0.0000 -5.05E+670.7165156914 -0.037305465 0.6036298681 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-3.0166979173 0.0314858582 0.6033388878 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.1086966381 -0.01473193 0.6041765842 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.6698234544 -0.006349782 0.6031224986 15.8 0.0000 -2.2E+71 0.0000 -2.87E+691.9430527352 0.0239760247 0.6040038107 15.9 0.0000 6.04E+71 0.0000 7.88E+690.3816605997 -0.032036704 0.6036007767 16 0.0000 -1.66E+72 0.0000 -2.16E+70

-2.4392632413 0.0281862335 0.6034082532 16.1 0.0000 4.55E+72 0.0000 5.94E+703.5088368828 -0.014470961 0.6040940168 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.2633451394 -0.003649473 0.6031879951 16.3 0.0000 3.43E+73 0.0000 4.48E+711.8644730197 0.0194466018 0.6039778515 16.4 0.0000 -9.42E+73 0.0000 -1.23E+720.1226585626 -0.027400929 0.6035801352 16.5 0.0000 2.59E+74 0.0000 3.37E+72

-1.9542802558 0.0251081188 0.6034654946 16.6 0.0000 -7.1E+74 0.0000 -9.26E+722.9840285242 -0.013963918 0.6040227047 16.7 0.0000 1.95E+75 0.0000 2.54E+73-2.888652515 -0.001548541 0.6032470818 16.8 0.0000 -5.35E+75 0.0000 -7E+731.7654754999 0.0156356363 0.6039514365 16.9 0.0000 1.47E+76 0.0000 1.92E+74

-0.0739576957 -0.023339037 0.6035662665 17 0.0000 -4E+76 0.0000 -5.26E+74-1.548980226 0.0222621795 0.6035124236 17.1 0.0000 1.11E+77 0.0000 1.44E+75

Page 212: Hojas de Calculo Fransua

2.5267290065 -0.0132835 0.6039613576 17.2 0.0000 -3E+77 0.0000 -4E+75-2.5458332714 5.825979E-05 0.6033000956 17.3 0.0000 8.35E+77 0.0000 1.09E+761.6533180714 0.0124448062 0.6039252489 17.4 0.0000 -2.29E+78 0.0000 -3E+76

-0.2196175757 -0.019794407 0.6035577688 17.5 0.0000 6.29E+78 0.0000 8.21E+76-1.2120844616 0.0196514038 0.6035506186 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.1298358345 -0.012487887 0.6039087945 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2342667722 0.0012603912 0.6033474197 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.5337197749 0.0097871223 0.6038997954 17.9 0.0000 3.57E+80 0.0000 4.66E+78

-0.3239781442 -0.016713497 0.6035534767 18 0.0000 -9.81E+80 0.0000 -1.28E+79-0.933673073 0.0172729663 0.6035814501 18.1 0.0000 2.69E+81 0.0000 3.52E+791.7867290223 -0.011623132 0.6038639419 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-1.9528152556 0.0021335675 0.6033894636 18.3 0.0000 2.03E+82 0.0000 2.65E+801.4111240075 0.0075859552 0.6038754398 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80-0.395161169 -0.014046219 0.6035524266 18.5 0.0000 1.53E+83 0.0000 2E+81

-0.7050574197 0.0151197478 0.603606103 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.4912924953 -0.010725214 0.6038258297 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.6999781661 0.0027415771 0.6034266478 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.2889231176 0.0057740851 0.6038524309 18.9 0.0000 8.7E+84 0.0000 1.13E+83

-0.4399637006 -0.011746159 0.6035538272 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.518658072 0.0131815672 0.6036255976 19.1 0.0000 6.56E+85 0.0000 8.55E+831.2379192688 -0.009821795 0.6037935862 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.4740155513 0.0031379027 0.6034593916 19.3 0.0000 4.94E+86 0.0000 6.45E+841.169649244 0.0042927862 0.603830926 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.4640443091 -0.009770646 0.6035570331 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.3678895275 0.0114461693 0.6036408093 19.6 0.0000 -1E+88 0.0000 -1.33E+861.0215043638 -0.008933708 0.6037664323 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.2730456315 0.0033671573 0.6034881048 19.8 0.0000 -7.71E+88 0.0000 -1E+871.0551357624 0.0030909589 0.6038110106 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.4720870758 -0.008080733 0.6035615219 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo1.647861705 -0.665754649 1.647861705

8.3026497336 8.6266977565 8.6266977565228.24237173 278.85652785 278.85652785

62.8318530720.0159154943630.62521013

NO ESTABLE

Δůi

Page 213: Hojas de Calculo Fransua

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

129.98930419 0.8 0.7 0 0.0000 0 5.0000 5-418.87767728 8.3026497336 1.1551324867 0.1 5.0000 250.0566 3.6603 8.256614507.09889958 1.3608808128 1.638309014 0.2 8.6603 -837.3589 1.3397 -9.057642

-421.66610502 -1.169826994 1.647861705 0.3 10.0000 2233.47 -1.3397 27.9842202.89141289 0.5711049281 1.6179256017 0.4 8.6603 -6244.01 -3.6603 -85.55451110.77931361 -8.626697757 1.2151459603 0.5 5.0000 17064.35 -5.0000 216.8326

-143.41461553 -2.140964116 0.6767628666 0.6 0.0000 -46890.61 0.0000 -612.9178-53.576242751 2.7130044284 0.7053648823 0.7 0.0000 129001.2 0.0000 1683.659220.33774464 -2.282569941 0.7268866066 0.8 0.0000 -354259 0.0000 -4622.764

-298.92407136 1.0599307841 0.6657546488 0.9 0.0000 972642.8 0.0000 12691.83266.18172841 0.4731151734 0.7424069467 1 0.0000 -2670386 0.0000 -34845.27

-140.07597723 -1.750817584 0.6785218261 1.1 0.0000 7331509 0.0000 95667.17-29.044750214 2.3305372168 0.7075078077 1.2 0.0000 -2E+07 0.0000 -262653178.27586854 -2.044144354 0.7218274509 1.3 0.0000 55262633 0.0000 721109.3

-255.360599 1.0427299911 0.6717567327 1.4 0.0000 -1.52E+08 0.0000 -1979795236.78199175 0.2753678129 0.7376616229 1.5 0.0000 4.17E+08 0.0000 5435497

-134.55938846 -1.420924728 0.6803837772 1.6 0.0000 -1.14E+09 0.0000-14923077-10.046907122 1.9939128958 0.7090331856 1.7 0.0000 3.14E+09 0.0000 40971085142.93564075 -1.82156426 0.7176506174 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08-217.2359567 1.007395266 0.6769421677 1.9 0.0000 2.37E+10 0.0000 3.09E+08

209.665078 0.1213389942 0.7333788807 2 0.0000 -6.5E+10 0.0000 -8.48E+08-127.53044656 -1.143261213 0.6822827698 2.1 0.0000 1.78E+11 0.0000 2.33E+094.3975350323 1.6988701516 0.7100632167 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09113.39043613 -1.61564406 0.7142245213 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-184.00554802 0.9592402858 0.6814043326 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10184.84173766 0.0033690371 0.7295347987 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-119.52020382 -0.91069273 0.6841686141 2.6 0.0000 -2.78E+13 0.0000 -3.63E+1115.120762205 1.4413221954 0.7107000874 2.7 0.0000 7.64E+13 0.0000 9.97E+1188.821493875 -1.42663496 0.7114344491 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-155.15612218 0.9025206885 0.6852287355 2.9 0.0000 5.76E+14 0.0000 7.51E+12162.27063598 -0.085055078 0.7261020161 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-110.94751248 -0.716905155 0.6860040044 3.1 0.0000 4.34E+15 0.0000 5.66E+1322.826152479 1.2174009436 0.7110287939 3.2 0.0000 -1.19E+16 0.0000 -1.56E+1468.508466271 -1.254360958 0.7091807932 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-130.20895572 0.8406080779 0.6884931491 3.4 0.0000 -9E+16 0.0000 -1.17E+15141.87231989 -0.149447359 0.7230511851 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-102.13817562 -0.556334587 0.6877620878 3.6 0.0000 -6.77E+17 0.0000 -8.84E+1528.105470077 1.0234853978 0.7111196283 3.7 0.0000 1.86E+18 0.0000 2.43E+1651.820221178 -1.098329894 0.7073774035 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-108.72149192 0.7761393768 0.6912678776 3.9 0.0000 1.4E+19 0.0000 1.83E+17123.54049907 -0.194454889 0.720352102 4 0.0000 -3.85E+19 0.0000 -5E+17

-93.341293383 -0.424098798 0.6894244177 4.1 0.0000 1.06E+20 0.0000 1.38E+1831.454145823 0.8562175782 0.7110303567 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1838.206032736 -0.957823424 0.7059500644 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-90.287789768 0.7111445019 0.6936161183 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19107.1510726 -0.223975424 0.7179745722 4.5 0.0000 6E+21 0.0000 7.83E+19

L2018
el tiempo lo vamos a variar
M2018
ESTE ES EL DATO QUE VA A VARIAR
O2018
este dato no es igual al de la segunda columna?
I2019
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N2019
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 214: Hojas de Calculo Fransua

-84.743156884 -0.315931208 0.6909792406 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2033.284795489 0.7125087939 0.7108081199 4.7 0.0000 4.52E+22 0.0000 5.9E+2027.187252437 -0.831969274 0.7048350959 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-74.538071909 0.6471550545 0.6955943849 4.9 0.0000 3.41E+23 0.0000 4.45E+2192.569272803 -0.241261591 0.7158890581 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-76.479006163 -0.228118191 0.692420069 5.1 0.0000 2.57E+24 0.0000 3.35E+2233.939127319 0.5895385404 0.7104910865 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2218.349519325 -0.71979867 0.70397808 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-61.137607292 0.5852964514 0.6972529691 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2379.655245183 -0.249012825 0.7140671504 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-68.642935409 -0.157440208 0.6937444987 5.6 0.0000 -4E+26 0.0000 -5.23E+2433.698386783 0.4847478987 0.7101098832 5.7 0.0000 1.1E+27 0.0000 1.44E+2511.335541685 -0.620291426 0.7033327069 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-49.785119776 0.5263656722 0.6986364192 5.9 0.0000 8.3E+27 0.0000 1.08E+2668.268336973 -0.249456134 0.7124818961 6 0.0000 -2.28E+28 0.0000 -3E+26

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-40.210875895 0.4708965579 0.6997840233 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2858.270326144 -0.244416751 0.7111080137 6.5 0.0000 3.55E+30 0.0000 4.64E+28

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-42.449244071 0.0039639118 0.6979233046 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3327.772189346 0.2046969402 0.7083563472 7.7 0.0000 6.52E+35 0.0000 8.5E+33

-3.9866721246 -0.328422768 0.7021700558 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34-19.888422031 0.3277333856 0.7021355867 7.9 0.0000 4.91E+36 0.0000 6.41E+3435.308862188 -0.209865169 0.7080289975 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-37.234346483 0.0235582842 0.6987136533 8.1 0.0000 3.7E+37 0.0000 4.83E+3525.734367948 0.1607075228 0.7079269437 8.2 0.0000 -1E+38 0.0000 -1.33E+36

-5.6762845544 -0.277142165 0.7021052115 8.3 0.0000 2.79E+38 0.0000 3.64E+36-15.285096963 0.2879123161 0.7026437191 8.4 0.0000 -7.66E+38 0.0000 -1E+3729.601952137 -0.195102278 0.707284221 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-32.526993451 0.0377258862 0.6994154014 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3723.654053745 0.1243019849 0.7075167949 8.7 0.0000 1.59E+40 0.0000 2.07E+38

-6.8194666724 -0.232768902 0.7020934491 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-11.508390839 0.2518895653 0.7030494822 8.9 0.0000 1.2E+41 0.0000 1.56E+3924.690458652 -0.179844843 0.7066517183 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-28.301117834 0.0475241389 0.7000356831 9.1 0.0000 9.01E+41 0.0000 1.18E+4021.586709458 0.094360162 0.7071298982 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40

-7.5287937372 -0.194524234 0.7021216946 9.3 0.0000 6.79E+42 0.0000 8.86E+40

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-8.4320883401 0.2194871565 0.7033698407 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4120.48043501 -0.164545557 0.7061169207 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-24.526829726 0.0538390629 0.700581596 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4219.573593666 0.0699039469 0.7067687465 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-7.8979189975 -0.161692972 0.7021792952 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-5.9465812972 0.1904938425 0.7036193388 9.9 0.0000 2.91E+45 0.0000 3.8E+4316.886417094 -0.149544358 0.705666813 10 0.0000 -8E+45 0.0000 -1E+44

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-8.0043078081 -0.133622924 0.7022576406 10.3 0.0000 1.65E+47 0.0000 2.16E+45-3.9570593065 0.1646780073 0.7038103948 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4513.831133938 -0.135089417 0.7052898243 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-18.203608066 0.0588468898 0.7014776979 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4615.819703837 0.0341594904 0.7061280169 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-7.9116338634 -0.10972312 0.7023498354 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-2.3818359938 0.1417977674 0.7039535678 10.9 0.0000 7.08E+49 0.0000 9.23E+4711.245114521 -0.121354838 0.7049757142 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-15.588499591 0.0586564837 0.7018407965 11.1 0.0000 5.33E+50 0.0000 6.96E+4814.11246379 0.0214985515 0.7058485483 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-7.6718707825 -0.089461171 0.7024504173 11.3 0.0000 4.02E+51 0.0000 5.25E+49-1.1508129051 0.1216087576 0.7040577967 11.4 0.0000 -1.1E+52 0.0000 -1.44E+50

9.06622534 -0.108455499 0.7047154596 11.5 0.0000 3.03E+52 0.0000 3.96E+50-13.294301123 0.057250867 0.7021552281 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.529980382 0.0115534434 0.7055954436 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-7.3271104975 -0.072360017 0.7025551149 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-0.2040795489 0.1038700164 0.7041306149 11.9 0.0000 1.72E+54 0.0000 2.25E+527.2391660807 -0.096459452 0.7045011431 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-11.289842306 0.0549654056 0.7024264407 12.1 0.0000 1.3E+55 0.0000 1.69E+5311.075005991 0.0038564522 0.7053675336 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-6.9111378799 -0.057994317 0.7026606404 12.3 0.0000 9.78E+55 0.0000 1.28E+540.5093544503 0.0883483196 0.7041783405 12.4 0.0000 -2.69E+56 0.0000 -3.51E+545.7149447785 -0.085398215 0.7043258457 12.5 0.0000 7.38E+56 0.0000 9.62E+54-9.545539843 0.052070211 0.7026594455 12.6 0.0000 -2E+57 0.0000 -2.64E+559.7468563887 -0.001991116 0.7051634003 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-6.4507889018 -0.045986615 0.7027645137 12.8 0.0000 -1.53E+58 0.0000 -2E+561.0327009543 0.0748212595 0.7042062459 12.9 0.0000 4.19E+58 0.0000 5.47E+56

4.450348913 -0.075275263 0.7041835458 13 0.0000 -1.15E+59 0.0000 -1.5E+57-8.0336360419 0.0487807078 0.702858818 13.1 0.0000 3.16E+59 0.0000 4.12E+578.5422882897 -0.006327678 0.7049814695 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-5.9671174328 -0.036003451 0.7028649131 13.3 0.0000 2.38E+60 0.0000 3.11E+581.4024157859 0.0630793186 0.7042187064 13.4 0.0000 -6.54E+60 0.0000 -8.53E+583.4074248494 -0.066072994 0.7040690227 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-6.7283381526 0.0452667249 0.7030287092 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.4562116847 -0.009439221 0.7048200844 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-5.4763935961 -0.027751491 0.7029605488 13.8 0.0000 -3.71E+62 0.0000 -4.85E+601.6491099666 0.0529271441 0.7042193314 13.9 0.0000 1.02E+63 0.0000 1.33E+612.5529747375 -0.057758402 0.7039777685 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-5.6058804156 0.0416602862 0.7031728627 14.1 0.0000 7.69E+63 0.0000 1E+62

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6.4822630913 -0.011566309 0.7046775616 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62-4.9909544755 -0.020973771 0.7030505576 14.3 0.0000 5.79E+64 0.0000 7.56E+621.7983580257 0.0441841987 0.704211079 14.4 0.0000 -1.59E+65 0.0000 -2.08E+631.8580773201 -0.050287654 0.7039059062 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-4.6445268852 0.0380622597 0.7032946365 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.6132623029 -0.012910304 0.7045522342 14.7 0.0000 3.29E+66 0.0000 4.29E+64-4.519925925 -0.015446098 0.7031344141 14.8 0.0000 -9E+66 0.0000 -1.18E+651.8714118169 0.0366849279 0.7041963556 14.9 0.0000 2.48E+67 0.0000 3.24E+651.2976369653 -0.043609752 0.7038501144 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-3.8245298373 0.0345480075 0.7033970272 15.1 0.0000 1.87E+68 0.0000 2.44E+664.8415720482 -0.013638877 0.7044424837 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-4.0698323018 -0.010973651 0.7032118574 15.3 0.0000 1.41E+69 0.0000 1.84E+671.8858281967 0.0302785631 0.704177103 15.4 0.0000 -3.87E+69 0.0000 -5.05E+670.8499635464 -0.037669429 0.7038075597 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-3.1280558077 0.0311721669 0.7034826966 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.159377194 -0.013890851 0.7043467625 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.645109132 -0.007387799 0.70328283 15.8 0.0000 -2.2E+71 0.0000 -2.87E+691.8560186757 0.0248286559 0.7041548728 15.9 0.0000 6.04E+71 0.0000 7.88E+690.4963844724 -0.032409412 0.703775835 16 0.0000 -1.66E+72 0.0000 -2.16E+70

-2.5390889822 0.0279726774 0.7035539983 16.1 0.0000 4.55E+72 0.0000 5.94E+703.5588976792 -0.013780459 0.7042636092 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.2485320393 -0.00454316 0.7033474283 16.3 0.0000 3.43E+73 0.0000 4.48E+711.7937287972 0.0202124209 0.7041308913 16.4 0.0000 -9.42E+73 0.0000 -1.23E+720.2208891495 -0.02777216 0.7037529044 16.5 0.0000 2.59E+74 0.0000 3.37E+72-2.043319703 0.0249741556 0.7036130041 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.032547233 -0.013401056 0.7041916591 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.881573727 -0.002314891 0.7034058617 16.8 0.0000 -5.35E+75 0.0000 -7E+731.7084545643 0.0163199489 0.7041061146 16.9 0.0000 1.47E+76 0.0000 1.92E+740.0098053873 -0.023701169 0.7037370536 17 0.0000 -4E+76 0.0000 -5.26E+74

-1.6280242302 0.0221907105 0.7036615307 17.1 0.0000 1.11E+77 0.0000 1.44E+752.5730480708 -0.012828352 0.7041296486 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5446993868 -0.000596223 0.7034584199 17.3 0.0000 8.35E+77 0.0000 1.09E+761.6078027537 0.0130533411 0.7040812758 17.4 0.0000 -2.29E+78 0.0000 -3E+76-0.148493302 -0.020141927 0.7037268465 17.5 0.0000 6.29E+78 0.0000 8.21E+76

-1.2819405429 0.0196282778 0.703701164 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.1735101518 -0.01212321 0.7040764174 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2376096361 0.0007037829 0.7035054461 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.4978014463 0.0103258015 0.7040569253 17.9 0.0000 3.57E+80 0.0000 4.66E+78

-0.2638509663 -0.017042589 0.7037210859 18 0.0000 -9.81E+80 0.0000 -1.28E+79-0.9951438477 0.0172865437 0.7037332836 18.1 0.0000 2.69E+81 0.0000 3.52E+791.8274821885 -0.011334064 0.7040309076 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-1.9594389234 0.0016622456 0.7035473167 18.3 0.0000 2.03E+82 0.0000 2.65E+801.3831665869 0.0080607183 0.7040334649 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80

-0.3445647598 -0.014354426 0.7037187795 18.5 0.0000 1.53E+83 0.0000 2E+81-0.7589245495 0.0151605214 0.7037590843 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.5289804019 -0.010498997 0.7039921605 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.7089163121 0.0023442775 0.7035844246 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.267529873 0.0061907564 0.7040111763 18.9 0.0000 8.7E+84 0.0000 1.13E+83

Page 217: Hojas de Calculo Fransua

-0.3975946594 -0.012032087 0.7037191098 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.5656706936 0.0132418309 0.703779597 19.1 0.0000 6.56E+85 0.0000 8.55E+831.2724999906 -0.009647519 0.7039593126 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.4844946262 0.0028045957 0.7036171664 19.3 0.0000 4.94E+86 0.0000 6.45E+841.1536327741 0.0046569787 0.7039902451 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.4287493211 -0.010033731 0.7037214075 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.408756288 0.0115197322 0.7037957076 19.6 0.0000 -1E+88 0.0000 -1.33E+861.0530134068 -0.008802085 0.7039315899 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.2844531188 0.0030889534 0.7036459333 19.8 0.0000 -7.71E+88 0.0000 -1E+871.0434910087 0.0034080063 0.7039707813 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.4428500645 -0.008321046 0.7037251293 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo1.7493805479 -0.765180746 1.74938054798.2261944482 8.5400513912 8.5400513912222.69398273 273.25568486 273.25568486

62.8318530720.0159154943630.94318626

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

126.45046508 0.9 0.8 0 0.0000 0 5.0000 5-409.74286189 8.2261944482 1.2563097224 0.1 5.0000 250.0566 3.6603 8.256614495.94966759 1.3877690561 1.7370078976 0.2 8.6603 -837.3589 1.3397 -9.057642

-412.60327837 -1.140316051 1.7493805479 0.3 10.0000 2233.47 -1.3397 27.9842199.03919739 0.4989183034 1.7173106605 0.4 8.6603 -6244.01 -3.6603 -85.55451108.33586835 -8.540051391 1.3152540061 0.5 5.0000 17064.35 -5.0000 216.8326

-135.90313392 -2.210267799 0.7777380466 0.6 0.0000 -46890.61 0.0000 -612.9178-63.184465123 2.7411525147 0.8042822824 0.7 0.0000 129001.2 0.0000 1683.659228.48842035 -2.261807124 0.828249552 0.8 0.0000 -354259 0.0000 -4622.764

-302.78390562 1.0004309992 0.7651807457 0.9 0.0000 972642.8 0.0000 12691.83264.61127281 0.5478948588 0.8425970386 1 0.0000 -2670386 0.0000 -34845.27

-133.94200384 -1.813272922 0.7793281355 1.1 0.0000 7331509 0.0000 95667.17-37.291971763 2.3590227448 0.8066156266 1.2 0.0000 -2E+07 0.0000 -262653185.56790081 -2.030380368 0.8230477454 1.3 0.0000 55262633 0.0000 721109.3

-259.14302768 0.9940129706 0.7712293755 1.4 0.0000 -1.52E+08 0.0000 -1979795235.89916244 0.3396499656 0.8379125223 1.5 0.0000 4.17E+08 0.0000 5435497

Δůi

L2240
el tiempo lo vamos a variar
M2240
ESTE ES EL DATO QUE VA A VARIAR
O2240
este dato no es igual al de la segunda columna?
I2241
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N2241
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 218: Hojas de Calculo Fransua

-129.5891554 -1.476906302 0.7810497055 1.6 0.0000 -1.14E+09 0.0000-14923077-17.097247963 2.022037783 0.8083062796 1.7 0.0000 3.14E+09 0.0000 40971085149.42759177 -1.8133383 0.8187412537 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

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Page 219: Hojas de Calculo Fransua

-41.890368009 0.4679432672 0.799701014 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2859.156325325 -0.233399742 0.8114281902 6.5 0.0000 3.55E+30 0.0000 4.64E+28

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-15.801738616 0.0556056809 0.801961402 11.1 0.0000 5.33E+50 0.0000 6.96E+48

Page 220: Hojas de Calculo Fransua

14.04187106 0.0254080815 0.8060120901 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49-7.3586406279 -0.092782896 0.8026433494 11.3 0.0000 4.02E+51 0.0000 5.25E+49

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-5.8421571011 -0.038070514 0.8030358223 13.3 0.0000 2.38E+60 0.0000 3.11E+581.1800278047 0.0644053207 0.8043525626 13.4 0.0000 -6.54E+60 0.0000 -8.53E+583.6422272815 -0.066225309 0.8042615632 13.5 0.0000 1.79E+61 0.0000 2.34E+59

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-5.7552467181 0.0408795447 0.8033098847 14.1 0.0000 7.69E+63 0.0000 1E+626.5256112813 -0.010100383 0.8048488428 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-4.9187368175 -0.022562082 0.8032157195 14.3 0.0000 5.79E+64 0.0000 7.56E+621.6428966259 0.0453199419 0.8043536125 14.4 0.0000 -1.59E+65 0.0000 -2.08E+63

2.036503185 -0.050590044 0.8040901074 14.5 0.0000 4.37E+65 0.0000 5.7E+63-4.7808110059 0.0374699611 0.8034341033 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.6610286954 -0.011685425 0.8047233301 14.7 0.0000 3.29E+66 0.0000 4.29E+64

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Page 221: Hojas de Calculo Fransua

0.6111090141 -0.032782092 0.8039509429 16 0.0000 -1.66E+72 0.0000 -2.16E+70-2.6389132726 0.0277590921 0.8036997929 16.1 0.0000 4.55E+72 0.0000 5.94E+703.6089555436 -0.013089936 0.8044332507 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

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-1.9660607674 0.0011909173 0.8037052194 18.3 0.0000 2.03E+82 0.0000 2.65E+801.3552075525 0.0085354783 0.8041915392 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80-0.293967512 -0.014662621 0.803885182 18.5 0.0000 1.53E+83 0.0000 2E+81

-0.8127914861 0.0152012808 0.803912115 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.5666672108 -0.010272767 0.8041585407 18.7 0.0000 1.15E+84 0.0000 1.51E+82

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-0.3552248107 -0.012318005 0.8038844418 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.6126832399 0.0133020825 0.8039336457 19.1 0.0000 6.56E+85 0.0000 8.55E+83

1.307079831 -0.009473232 0.8041250882 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84-1.494972374 0.0024712827 0.8037749908 19.3 0.0000 4.94E+86 0.0000 6.45E+841.1376150311 0.0050211704 0.8041496134 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.3934535665 -0.010296809 0.8038858315 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.4496230632 0.0115932848 0.8039506553 19.6 0.0000 -1E+88 0.0000 -1.33E+861.0845217492 -0.008670453 0.8040967969 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.2958594813 0.0028107437 0.8038038114 19.8 0.0000 -7.71E+88 0.0000 -1E+871.0318451319 0.0037250537 0.8041306013 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.4136123335 -0.008561354 0.8038887863 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo

Page 222: Hojas de Calculo Fransua

1.8508994255 -0.864606921 1.85089942558.1497408978 8.4534048577 8.4534048577217.14563372 267.65477228 267.65477228

62.8318530720.0159154943

631.2732934NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

122.91127258 1 0.9 0 0.0000 0 5.0000 5-400.60781754 8.1497408978 1.3574870449 0.1 5.0000 250.0566 3.6603 8.256614

484.800406 1.4146545473 1.8357068171 0.2 8.6603 -837.3589 1.3397 -9.057642-403.54062083 -1.110802381 1.8508994255 0.3 10.0000 2233.47 -1.3397 27.9842195.18727808 0.4267299497 1.8166958039 0.4 8.6603 -6244.01 -3.6603 -85.55451105.89211289 -8.453404858 1.4153620585 0.5 5.0000 17064.35 -5.0000 216.8326

-128.39143985 -2.279570116 0.8787133098 0.6 0.0000 -46890.61 0.0000 -612.9178-72.792731724 2.7692982769 0.9031997178 0.7 0.0000 129001.2 0.0000 1683.659236.63896569 -2.241041909 0.9296125363 0.8 0.0000 -354259 0.0000 -4622.764

-306.64349135 0.9409296045 0.8646069211 0.9 0.0000 972642.8 0.0000 12691.83263.04054604 0.6226748345 0.942787143 1 0.0000 -2670386 0.0000 -34845.27

-127.80783492 -1.875727201 0.8801345247 1.1 0.0000 7331509 0.0000 95667.17-45.539247541 2.3875063192 0.9057234806 1.2 0.0000 -2E+07 0.0000 -262653192.85983454 -2.016614283 0.9242680824 1.3 0.0000 55262633 0.0000 721109.3

-262.92524888 0.945294464 0.8707020914 1.4 0.0000 -1.52E+08 0.0000 -1979795235.01609703 0.403932494 0.9381634393 1.5 0.0000 4.17E+08 0.0000 5435497

-124.61874368 -1.532887069 0.8817157106 1.6 0.0000 -1.14E+09 0.0000-14923077-24.147649355 2.050161036 0.9075794089 1.7 0.0000 3.14E+09 0.0000 40971085

155.9194702 -1.805110511 0.9198319352 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08-224.52180904 0.9282089851 0.8759868589 1.9 0.0000 2.37E+10 0.0000 3.09E+08208.96720529 0.2314115387 0.9339678851 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-119.54698705 -1.243116096 0.8833826573 2.1 0.0000 1.78E+11 0.0000 2.33E+09-7.6068225398 1.7533671819 0.9088952116 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09124.89629771 -1.60784002 0.9161715697 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-190.92571779 0.8954265354 0.8805508954 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10184.95876855 0.097222087 0.9301833265 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-113.17444769 -0.999329823 0.8850779397 2.6 0.0000 -2.78E+13 0.0000 -3.63E+114.9449386089 1.4933343096 0.909778164 2.7 0.0000 7.64E+13 0.0000 9.97E+1198.972707922 -1.425477011 0.9131710289 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-161.65341236 0.8515939943 0.8844768781 2.9 0.0000 5.76E+14 0.0000 7.51E+12162.99545497 -0.005370222 0.9267880667 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-105.96492555 -0.795232308 0.8867579402 3.1 0.0000 4.34E+15 0.0000 5.66E+1314.238887955 1.2664320766 0.9103179286 3.2 0.0000 -1.19E+16 0.0000 -1.56E+1477.426560257 -1.258205418 0.9107292615 3.3 0.0000 3.27E+16 0.0000 4.27E+14

Δůi

L2462
el tiempo lo vamos a variar
M2462
ESTE ES EL DATO QUE VA A VARIAR
O2462
este dato no es igual al de la segunda columna?
I2463
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N2463
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 223: Hojas de Calculo Fransua

-136.24963521 0.8004294973 0.8878404655 3.4 0.0000 -9E+16 0.0000 -1.17E+15143.03672423 -0.082089335 0.9237574736 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-98.283797924 -0.625253716 0.8883903211 3.6 0.0000 -6.77E+17 0.0000 -8.84E+1520.892834044 1.0692282179 0.9105890461 3.7 0.0000 1.86E+18 0.0000 2.43E+1659.622763055 -1.105838042 0.9087585549 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16-114.2901303 0.7448755526 0.8907104304 3.9 0.0000 1.4E+19 0.0000 1.83E+17125.00905087 -0.137779215 0.9210652473 4 0.0000 -3.85E+19 0.0000 -5E+17

-90.414862638 -0.484487953 0.8899518889 4.1 0.0000 1.06E+20 0.0000 1.38E+1825.426319589 0.8985127198 0.9106531273 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1845.005093525 -0.96791376 0.9071830753 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-95.382994888 0.6872304168 0.8931489081 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19108.81578897 -0.176520475 0.9186844052 4.5 0.0000 6E+21 0.0000 7.83E+19

-82.574709154 -0.368631663 0.8914267983 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2028.2741058 0.7513111398 0.9105607722 4.7 0.0000 4.52E+22 0.0000 5.9E+20

33.088373167 -0.843776225 0.9059375179 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21-79.168995292 0.6292603579 0.8952117245 4.9 0.0000 3.41E+23 0.0000 4.45E+2194.345057891 -0.201734165 0.9165880342 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-74.924928684 -0.273925558 0.892805048 5.1 0.0000 2.57E+24 0.0000 3.35E+2229.798096773 0.624889509 0.9103532455 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2223.451077945 -0.732637019 0.90496587 5.3 0.0000 1.94E+25 0.0000 2.53E+23-65.32109992 0.5722951883 0.8969487785 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2381.475976355 -0.216273703 0.9147498527 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-67.582443 -0.197098772 0.894081229 5.6 0.0000 -4E+26 0.0000 -5.23E+2430.297838863 0.5167528261 0.9100639317 5.7 0.0000 1.1E+27 0.0000 1.44E+2515.728433168 -0.633625782 0.9042202839 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-53.543436163 0.5173092105 0.8984044553 5.9 0.0000 8.3E+27 0.0000 1.08E+2670.083525018 -0.222505946 0.9131446185 6 0.0000 -2.28E+28 0.0000 -3E+26

-60.628201856 -0.13531666 0.8952534881 6.1 0.0000 6.25E+28 0.0000 8.16E+2630.019726704 0.4246387837 0.9097195943 6.2 0.0000 -1.72E+29 0.0000 -2.24E+279.6060200652 -0.54582953 0.903660057 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-43.569838244 0.4649894949 0.8996180552 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2860.04227739 -0.222382389 0.9117484105 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-54.114471341 -0.086132316 0.8963226753 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2929.1650424 0.3465080596 0.9093414624 6.7 0.0000 2.68E+31 0.0000 3.49E+29

4.8139032647 -0.468323012 0.9032507148 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29-35.162120001 0.4157932 0.9006242242 6.9 0.0000 2.02E+32 0.0000 2.63E+30

51.22920279 -0.217501425 0.910538813 7 0.0000 -5.54E+32 0.0000 -7.23E+30-48.070909988 -0.047441911 0.8972916462 7.1 0.0000 1.52E+33 0.0000 1.99E+3127.896947709 0.280532244 0.9089461629 7.2 0.0000 -4.18E+33 0.0000 -5.45E+311.1212748255 -0.400191715 0.9029631893 7.3 0.0000 1.15E+34 0.0000 1.5E+32

-28.108178841 0.3699954519 0.9014533761 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3243.525713983 -0.209162582 0.9094950196 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.509606173 -0.017443858 0.8981646977 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3326.346541544 0.2250802563 0.9085465176 7.7 0.0000 6.52E+35 0.0000 8.5E+33

-1.6683995231 -0.340548861 0.9027730873 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34-22.220014093 0.3277291228 0.9021321004 7.9 0.0000 4.91E+36 0.0000 6.41E+3436.819105043 -0.198413574 0.9085978779 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-37.429229111 0.0053982763 0.898947113 8.1 0.0000 3.7E+37 0.0000 4.83E+35

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24.618087031 0.1787039234 0.908152223 8.2 0.0000 -1E+38 0.0000 -1.33E+36-3.7217535209 -0.288547533 0.9026600425 8.3 0.0000 2.79E+38 0.0000 3.64E+36-17.331723914 0.2890176852 0.90268355 8.4 0.0000 -7.66E+38 0.0000 -1E+3731.003501581 -0.186090968 0.9078298859 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-32.818426623 0.0223892623 0.8996448006 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3722.793504055 0.1401232404 0.9077704257 8.7 0.0000 1.59E+40 0.0000 2.07E+38

-5.1794393928 -0.24338891 0.9026071423 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-13.297529264 0.2538021728 0.9031278054 8.9 0.0000 1.2E+41 0.0000 1.56E+39

25.9804253 -0.172855177 0.9071751552 9 0.0000 -3.28E+41 0.0000 -4.28E+39-28.658585619 0.0346322744 0.90026401 9.1 0.0000 9.01E+41 0.0000 1.18E+4020.936214981 0.1082117102 0.9074062093 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40-6.159622374 -0.204327386 0.9026004255 9.3 0.0000 6.79E+42 0.0000 8.86E+40

-9.9898607016 0.2219631483 0.9034822136 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4121.659057553 -0.159220471 0.9066193474 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-24.926055858 0.0430557517 0.9008111115 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4219.094423143 0.0819820596 0.907063002 9.7 0.0000 3.86E+44 0.0000 5.04E+42-6.761082073 -0.170673268 0.9026284416 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-7.297533433 0.1933384572 0.903761701 9.9 0.0000 2.91E+45 0.0000 3.8E+4317.956271804 -0.145580593 0.9061495943 10 0.0000 -8E+45 0.0000 -1E+44

-21.593923858 0.0484372763 0.9012924285 10.1 0.0000 2.19E+46 0.0000 2.86E+4417.303895905 0.0605725424 0.9067429194 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-7.0659526039 -0.141793589 0.9026818671 10.3 0.0000 1.65E+47 0.0000 2.16E+45-5.1240277373 0.1677374444 0.9039790598 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4514.796492301 -0.132230539 0.9057544051 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-18.633411705 0.0514247055 0.9017141134 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4615.590316771 0.0432339799 0.9064470477 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-7.1421331786 -0.117111492 0.902753172 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-3.3858853514 0.1449522149 0.9041452082 10.9 0.0000 7.08E+49 0.0000 9.23E+4712.111425651 -0.119385004 0.9054235687 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-16.014964801 0.0525547915 0.9020820581 11.1 0.0000 5.33E+50 0.0000 6.96E+4813.971264079 0.0293176298 0.9061756791 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

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-11.686943333 0.0509303802 0.9026786441 12.1 0.0000 1.3E+55 0.0000 1.69E+5311.056187171 0.0095922015 0.9057047732 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-6.5064968993 -0.063283785 0.903020194 12.3 0.0000 9.78E+55 0.0000 1.28E+54-0.1147082556 0.0913247414 0.9044222418 12.4 0.0000 -2.69E+56 0.0000 -3.51E+546.3228986997 -0.08512699 0.9047321294 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-9.9208483726 0.0488308016 0.90291732 12.6 0.0000 -2E+57 0.0000 -2.64E+559.7683564953 0.0028911092 0.9055034156 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-6.1306682502 -0.050673177 0.9031143122 12.8 0.0000 -1.53E+58 0.0000 -2E+560.5046470314 0.0776469488 0.9044630007 12.9 0.0000 4.19E+58 0.0000 5.47E+56

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4.9857896645 -0.075333986 0.9045786489 13 0.0000 -1.15E+59 0.0000 -1.5E+57-8.3845421588 0.0462069136 0.9031222952 13.1 0.0000 3.16E+59 0.0000 4.12E+578.5935216149 -0.002189811 0.9053231504 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-5.7171897971 -0.040137563 0.9032067816 13.3 0.0000 2.38E+60 0.0000 3.11E+580.957636263 0.0657312754 0.9044864672 13.4 0.0000 -6.54E+60 0.0000 -8.53E+58

3.8770287804 -0.066377562 0.9044541529 13.5 0.0000 1.79E+61 0.0000 2.34E+59-7.0534126484 0.0432468518 0.9032976173 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.5286100161 -0.005947927 0.9051625636 13.7 0.0000 1.35E+62 0.0000 1.77E+60-5.284417357 -0.031382838 0.9032960253 13.8 0.0000 -3.71E+62 0.0000 -4.85E+601.2762745482 0.055391884 0.9044964776 13.9 0.0000 1.02E+63 0.0000 1.33E+612.9631596102 -0.058240534 0.9043540451 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-5.9046091263 0.0400987555 0.9034469561 14.1 0.0000 7.69E+63 0.0000 1E+626.56895368 -0.008634431 0.9050201724 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-4.8465136494 -0.024150389 0.9033809314 14.3 0.0000 5.79E+64 0.0000 7.56E+621.4874319519 0.046455654 0.9044961946 14.4 0.0000 -1.59E+65 0.0000 -2.08E+632.2149290427 -0.050892388 0.9042743579 14.5 0.0000 4.37E+65 0.0000 5.7E+63

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1.606861865 -0.044293284 0.9042116804 15 0.0000 -6.81E+67 0.0000 -8.89E+65-4.0716312364 0.0336711422 0.9036805732 15.1 0.0000 1.87E+68 0.0000 2.44E+664.9416615067 -0.0116029 0.9047839854 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

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-2.2442889993 -0.000409452 0.9038216476 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.4259593853 0.0114031464 0.9043713324 17.9 0.0000 3.57E+80 0.0000 4.66E+78

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-1.7267879346 0.0015496597 0.9039001267 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.2247390805 0.0070240935 0.9043288143 18.9 0.0000 8.7E+84 0.0000 1.13E+83

-0.3128541586 -0.012603915 0.9040498232 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.6596957112 0.013362322 0.9040877436 19.1 0.0000 6.56E+85 0.0000 8.55E+83

1.341658794 -0.009298934 0.904290913 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84-1.505448801 0.0021379636 0.9039328644 19.3 0.0000 4.94E+86 0.0000 6.45E+841.1215960213 0.0053853612 0.9043090307 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.3581570488 -0.01055988 0.9040503047 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.4904898528 0.011666827 0.904105652 19.6 0.0000 -1E+88 0.0000 -1.33E+861.1160293945 -0.008538811 0.9042620529 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.3072647244 0.0025325283 0.9039617387 19.8 0.0000 -7.71E+88 0.0000 -1E+871.0201981375 0.004042101 0.9042904702 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.3843738863 -0.008801656 0.9040524925 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo1.9524183376 -0.964033174 1.95241833768.0732890738 8.3667581571 8.3667581571211.59732451 262.05379044 262.05379044

62.8318530720.0159154943631.61546795

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

119.37172846 1.1 1 0 0.0000 0 5.0000 5-391.47254541 8.0732890738 1.4586644537 0.1 5.0000 250.0566 3.6603 8.256614473.65111494 1.4415373003 1.9344057724 0.2 8.6603 -837.3589 1.3397 -9.057642

-394.47813157 -1.081285996 1.9524183376 0.3 10.0000 2233.47 -1.3397 27.9842

Δůi

L2684
el tiempo lo vamos a variar
M2684
ESTE ES EL DATO QUE VA A VARIAR
O2684
este dato no es igual al de la segunda columna?
I2685
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N2685
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 227: Hojas de Calculo Fransua

191.33565348 0.3545398756 1.9160810316 0.4 8.6603 -6244.01 -3.6603 -85.55451103.4480488 -8.366758157 1.5154701175 0.5 5.0000 17064.35 -5.0000 216.8326

-120.87953439 -2.348871076 0.9796886559 0.6 0.0000 -46890.61 0.0000 -612.9178-82.401042334 2.7974417265 1.0021171884 0.7 0.0000 129001.2 0.0000 1683.659244.78938132 -2.220274307 1.0309755594 0.8 0.0000 -354259 0.0000 -4622.764

-310.50282981 0.881426608 0.9640331744 0.9 0.0000 972642.8 0.0000 12691.83261.46954947 0.6974550991 1.0429772597 1 0.0000 -2670386 0.0000 -34845.27

-121.67347143 -1.938180427 0.9809409934 1.1 0.0000 7331509 0.0000 95667.17-53.786577276 2.4159879497 1.0048313695 1.2 0.0000 -2E+07 0.0000 -262653200.15167022 -2.002846109 1.0254884615 1.3 0.0000 55262633 0.0000 721109.3

-266.70726365 0.8965744789 0.97017488 1.4 0.0000 -1.52E+08 0.0000 -1979795234.13279671 0.4682153961 1.0384143738 1.5 0.0000 4.17E+08 0.0000 5435497

-119.64815419 -1.588867033 0.9823817919 1.6 0.0000 -1.14E+09 0.0000-14923077-31.198110992 2.0782826633 1.0068525734 1.7 0.0000 3.14E+09 0.0000 40971085162.41127642 -1.796880899 1.0209226616 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-228.16447767 0.8886138096 0.9755093071 1.9 0.0000 2.37E+10 0.0000 3.09E+08208.61796284 0.286448456 1.0342624204 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-115.55501486 -1.293042639 0.9839327112 2.1 0.0000 1.78E+11 0.0000 2.33E+09-13.609096975 1.7806136644 1.0083112625 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09130.64915139 -1.603935624 1.0171451645 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-194.38559011 0.8635178087 0.9801242738 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.0170196 0.1441493056 1.0305076295 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-110.00135087 -1.043647723 0.9855327086 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-0.1430706196 1.5193386853 1.0093172567 2.7 0.0000 7.64E+13 0.0000 9.97E+11104.04826302 -1.424895981 1.0140393919 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-164.90188314 0.826128973 0.9841010415 2.9 0.0000 5.76E+14 0.0000 7.51E+12163.35763698 0.034472921 1.0271311362 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-103.47343578 -0.834395439 0.9871350104 3.1 0.0000 4.34E+15 0.0000 5.66E+139.945159027 1.2909462609 1.0099625515 3.2 0.0000 -1.19E+16 0.0000 -1.56E+14

81.8855753 -1.260125877 1.0115035707 3.3 0.0000 3.27E+16 0.0000 4.27E+14-139.26983304 0.7803387015 0.9875142119 3.4 0.0000 -9E+16 0.0000 -1.17E+15143.61873146 -0.048409607 1.0241106666 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-96.356433811 -0.659712995 0.9887045365 3.6 0.0000 -6.77E+17 0.0000 -8.84E+1517.286422014 1.0920984995 1.0103238117 3.7 0.0000 1.86E+18 0.0000 2.43E+1663.524017692 -1.109590596 1.0094492069 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16-117.0743349 0.729242294 0.9904317918 3.9 0.0000 1.4E+19 0.0000 1.83E+17125.74316041 -0.109440677 1.0214218727 4 0.0000 -3.85E+19 0.0000 -5E+17

-88.951491529 -0.514682372 0.9902157203 4.1 0.0000 1.06E+20 0.0000 1.38E+1822.412316471 0.9196593765 1.0104645705 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1848.404619688 -0.972957628 1.0077996579 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-97.930505792 0.6752721757 0.9929153853 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19109.64800576 -0.152792326 1.0190393778 4.5 0.0000 6E+21 0.0000 7.83E+19

-81.490347534 -0.394981829 0.99165067 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2025.768675896 0.7707115789 1.0104371575 4.7 0.0000 4.52E+22 0.0000 5.9E+2036.038938431 -0.849678595 1.0064888067 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-81.484384476 0.6203119477 0.9950204744 4.9 0.0000 3.41E+23 0.0000 4.45E+2195.232830802 -0.181969812 1.0169375812 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-74.147768622 -0.296829255 0.9929976278 5.1 0.0000 2.57E+24 0.0000 3.35E+22

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27.727501975 0.6425644103 1.0102843855 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2226.001868888 -0.739055256 1.0054598432 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-67.412789628 0.56579362 0.9967967614 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2382.386241176 -0.199903541 1.0150912654 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-67.052090391 -0.216928124 0.9942496822 5.6 0.0000 -4E+26 0.0000 -5.23E+2428.597491233 0.5327548323 1.0100410176 5.7 0.0000 1.1E+27 0.0000 1.44E+2517.924895334 -0.64029217 1.0046641507 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-55.422550878 0.5127801569 0.9982885501 5.9 0.0000 8.3E+27 0.0000 1.08E+2670.991034574 -0.209030294 1.0134760433 6 0.0000 -2.28E+28 0.0000 -3E+26

-60.294111216 -0.15241656 0.9954037006 6.1 0.0000 6.25E+28 0.0000 8.16E+2628.633281906 0.4390433422 1.0097350397 6.2 0.0000 -1.72E+29 0.0000 -2.24E+2711.489818666 -0.552538221 1.0040602957 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-45.249286709 0.4620352436 0.9995351468 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2860.928182574 -0.211364693 1.0120686744 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-53.934561505 -0.100819837 0.9964594478 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2928.043543227 0.3594060722 1.0093887596 6.7 0.0000 2.68E+31 0.0000 3.49E+296.4229751433 -0.474918932 1.0036131166 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29

-36.655869291 0.414081982 1.000571269 6.9 0.0000 2.02E+32 0.0000 2.63E+3052.07985208 -0.208561811 1.0108472776 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-48.010345108 -0.060006465 0.9974188638 7.1 0.0000 1.52E+33 0.0000 1.99E+3126.998023584 0.2920242297 1.009019752 7.2 0.0000 -4.18E+33 0.0000 -5.45E+312.4899476565 -0.406561152 1.0032929059 7.3 0.0000 1.15E+34 0.0000 1.5E+32

-29.430687907 0.369252029 1.0014274498 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3244.33164245 -0.201971803 1.0097914611 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.539726753 -0.028147908 0.9982854755 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3325.633667177 0.2352717722 1.0086416688 7.7 0.0000 6.52E+35 0.0000 8.5E+33

-0.5092402479 -0.346611527 1.003074681 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34-23.385798934 0.3277265211 1.0021304308 7.9 0.0000 4.91E+36 0.0000 6.41E+3437.574187037 -0.19268739 1.0088823873 8 0.0000 -1.35E+37 0.0000 -1.76E+35-37.52661844 -0.003681897 0.9990639229 8.1 0.0000 3.7E+37 0.0000 4.83E+3524.059901333 0.187702027 1.0082649295 8.2 0.0000 -1E+38 0.0000 -1.33E+36-2.744465312 -0.294249905 1.0029375356 8.3 0.0000 2.79E+38 0.0000 3.64E+36

-18.355030685 0.2895699647 1.0027035386 8.4 0.0000 -7.66E+38 0.0000 -1E+3731.704244251 -0.181584966 1.0081027885 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-32.964098698 0.014720782 0.9997595794 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3722.363188859 0.1480338075 1.0078973088 8.7 0.0000 1.59E+40 0.0000 2.07E+38

-4.3594037608 -0.248698659 1.0028640662 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-14.192095275 0.2547581292 1.0031670398 8.9 0.0000 1.2E+41 0.0000 1.56E+39

26.62538279 -0.169360034 1.0074369445 9 0.0000 -3.28E+41 0.0000 -4.28E+39-28.837281556 0.028186178 1.0003782517 9.1 0.0000 9.01E+41 0.0000 1.18E+4020.610931922 0.115137452 1.0075444332 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40

-5.4750156979 -0.209228756 1.002839868 9.3 0.0000 6.79E+42 0.0000 8.86E+40-10.768746374 0.2232008476 1.0035384726 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4122.248348205 -0.156557653 1.0068706323 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-25.125636695 0.0376639387 1.0009259466 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4218.854806225 0.0880211054 1.0072101988 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-6.1926438156 -0.175163251 1.0028530916 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-7.9730110207 0.1947605123 1.0038329546 9.9 0.0000 2.91E+45 0.0000 3.8E+43

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18.491182887 -0.143598466 1.0063910569 10 0.0000 -8E+45 0.0000 -1E+44-21.804848628 0.0439511493 1.0014086911 10.1 0.0000 2.19E+46 0.0000 2.86E+44

17.1335967 0.0658174774 1.0068971224 10.2 0.0000 -6E+46 0.0000 -7.85E+44-6.5967565311 -0.145878791 1.0028940568 10.3 0.0000 1.65E+47 0.0000 2.16E+45-5.7075149586 0.1692669493 1.0040634647 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4515.279158817 -0.130800885 1.0059867679 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-18.848290598 0.0477134736 1.0018323973 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4615.475598827 0.0477712432 1.0066066332 10.7 0.0000 9.39E+48 0.0000 1.23E+47

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-16.228178208 0.0495038158 1.0022027645 11.1 0.0000 5.33E+50 0.0000 6.96E+4813.900642919 0.0332271963 1.0063393151 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-6.7321489214 -0.099426188 1.0030293656 11.3 0.0000 4.02E+51 0.0000 5.25E+49-2.4414391342 0.1263451283 1.0043753126 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5010.226434551 -0.106562959 1.0053644211 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-13.916458323 0.0497787255 1.0025252094 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.421792457 0.0216192209 1.0060951068 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-6.5683038344 -0.081273577 1.0031123889 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-1.3055565198 0.1085080561 1.0044741129 11.9 0.0000 1.72E+54 0.0000 2.25E+528.2701059522 -0.095403328 1.0051293493 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-11.885480599 0.0489127586 1.0028048208 12.1 0.0000 1.3E+55 0.0000 1.69E+5311.046761726 0.0124601133 1.0058734644 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-6.3041634792 -0.065928476 1.0032000462 12.3 0.0000 9.78E+55 0.0000 1.28E+54-0.4267449839 0.0928128477 1.0045442648 12.4 0.0000 -2.69E+56 0.0000 -3.51E+546.6268719831 -0.084991252 1.0049353446 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-10.108491731 0.0472109981 1.0030463319 12.6 0.0000 -2E+57 0.0000 -2.64E+559.7790927206 0.0053322609 1.0056734949 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-5.9705962842 -0.053016427 1.0032892866 12.8 0.0000 -1.53E+58 0.0000 -2E+560.240614658 0.0790597071 1.0045914506 12.9 0.0000 4.19E+58 0.0000 5.47E+56

5.2535076382 -0.07536324 1.0047762739 13 0.0000 -1.15E+59 0.0000 -1.5E+57-8.5599862994 0.0449199274 1.0032541083 13.1 0.0000 3.16E+59 0.0000 4.12E+578.6191263995 -0.000120838 1.0054940628 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-5.5922155557 -0.042204599 1.0033777909 13.3 0.0000 2.38E+60 0.0000 3.11E+580.7352411788 0.0670571831 1.0046204201 13.4 0.0000 -6.54E+60 0.0000 -8.53E+584.1118293506 -0.066529754 1.0046467916 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-7.2159426595 0.0422368352 1.0034321456 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.5647990199 -0.004202241 1.0053338754 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-5.1884199494 -0.033198499 1.0034638384 13.8 0.0000 -3.71E+62 0.0000 -4.85E+601.0898516976 0.0566241964 1.0046351232 13.9 0.0000 1.02E+63 0.0000 1.33E+613.1682514354 -0.058481521 1.004542257 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-6.0539676597 0.0393179187 1.0035840769 14.1 0.0000 7.69E+63 0.0000 1E+626.6122903166 -0.007168453 1.0051915502 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-4.7742849987 -0.025738692 1.0035461929 14.3 0.0000 5.79E+64 0.0000 7.56E+621.3319640202 0.0475913351 1.0046388251 14.4 0.0000 -1.59E+65 0.0000 -2.08E+632.3933548931 -0.051194687 1.0044586575 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-5.0533699576 0.0362852369 1.003713185 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.7565467661 -0.009235593 1.0050656672 14.7 0.0000 3.29E+66 0.0000 4.29E+64

Page 230: Hojas de Calculo Fransua

-4.3613238961 -0.019597582 1.0036240085 14.8 0.0000 -9E+66 0.0000 -1.18E+651.484609491 0.0398015728 1.0046342081 14.9 0.0000 2.48E+67 0.0000 3.24E+651.761474754 -0.044634993 1.004392537 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-4.1951782861 0.0332326535 1.0038224201 15.1 0.0000 1.87E+68 0.0000 2.44E+664.9917000325 -0.010584877 1.0049548089 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-3.9581339735 -0.01457632 1.0036967491 15.3 0.0000 1.41E+69 0.0000 1.84E+671.5669634766 0.0331105406 1.0046234602 15.4 0.0000 -3.87E+69 0.0000 -5.05E+671.2503101923 -0.038761124 1.004340931 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-3.4621180964 0.0302308946 1.0039144195 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.3113978989 -0.011367482 1.0048575901 15.7 0.0000 8.01E+70 0.0000 1.05E+69-3.570943658 -0.010501868 1.0037641226 15.8 0.0000 -2.2E+71 0.0000 -2.87E+691.5949005828 0.0273864574 1.0046083521 15.9 0.0000 6.04E+71 0.0000 7.88E+690.8405600912 -0.033527371 1.0043013064 16 0.0000 -1.66E+72 0.0000 -2.16E+70

-2.8385575298 0.0273318349 1.0039915296 16.1 0.0000 4.55E+72 0.0000 5.94E+703.7090625329 -0.011708831 1.0047726798 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.2040731126 -0.007224248 1.0038260258 16.3 0.0000 3.43E+73 0.0000 4.48E+711.5814815494 0.0225098073 1.0045903038 16.4 0.0000 -9.42E+73 0.0000 -1.23E+720.5155855133 -0.028885716 1.0042715084 16.5 0.0000 2.59E+74 0.0000 3.37E+72-2.310431584 0.0245721138 1.0040558283 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.1780887681 -0.01171236 1.0046988159 16.7 0.0000 1.95E+75 0.0000 2.54E+73-2.860320316 -0.004613974 1.0038824992 16.8 0.0000 -5.35E+75 0.0000 -7E+731.5373784901 0.0183728336 1.0045704422 16.9 0.0000 1.47E+76 0.0000 1.92E+740.2610995913 -0.02478745 1.0042497114 17 0.0000 -4E+76 0.0000 -5.26E+74

-1.8651515801 0.0219761713 1.0041091475 17.1 0.0000 1.11E+77 0.0000 1.44E+752.7119931912 -0.011462807 1.0046348157 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5412829851 -0.002559705 1.00393369 17.3 0.0000 8.35E+77 0.0000 1.09E+761.471244802 0.014878907 1.0045496501 17.4 0.0000 -2.29E+78 0.0000 -3E+76

0.0648846314 -0.02118439 1.004234376 17.5 0.0000 6.29E+78 0.0000 8.21E+76-1.4915055709 0.0195587849 1.0041530957 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.3045231779 -0.011029087 1.0045795806 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2476255193 -0.000966079 1.0039798223 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.3900356706 0.011941812 1.004528609 17.9 0.0000 3.57E+80 0.0000 4.66E+78

-0.0834643128 -0.018029789 1.0042242101 18 0.0000 -9.81E+80 0.0000 -1.28E+79-1.1795541089 0.0173271773 1.0041890795 18.1 0.0000 2.69E+81 0.0000 3.52E+791.9497335831 -0.010466777 1.0045320995 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-1.9792990194 0.0002482419 1.0040211727 18.3 0.0000 2.03E+82 0.0000 2.65E+801.2992846732 0.0094849893 1.0045078343 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80

-0.1927705172 -0.015278981 1.0042181347 18.5 0.0000 1.53E+83 0.0000 2E+81-0.9205247836 0.0152827572 1.0042183235 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.6420375564 -0.00982027 1.0044914479 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.7357214264 0.0011523415 1.0040580515 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.2033415467 0.0074407594 1.0044877065 18.9 0.0000 8.7E+84 0.0000 1.13E+83

-0.2704827069 -0.012889817 1.0042152537 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.7067081079 0.0134225494 1.0042418903 19.1 0.0000 6.56E+85 0.0000 8.55E+831.3762368842 -0.009124625 1.0044567865 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84-1.515923914 0.0018046386 1.0040907872 19.3 0.0000 4.94E+86 0.0000 6.45E+841.1055757509 0.0057495512 1.0044684967 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85-0.322859772 -0.010822944 1.004214827 19.5 0.0000 3.72E+87 0.0000 4.86E+85

Page 231: Hojas de Calculo Fransua

-0.5313566568 0.0117403589 1.0042606977 19.6 0.0000 -1E+88 0.0000 -1.33E+861.1475363461 -0.008407159 1.0044273577 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.3186688536 0.0022543072 1.0041197151 19.8 0.0000 -7.71E+88 0.0000 -1E+871.008550031 0.0043591481 1.0044503879 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.3551347265 -0.009041952 1.0042162477 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo2.053937284 -1.063459505 2.053937284

7.9968389671 8.28011129 8.28011129206.04905488 256.45273971 256.45273971

62.8318530720.0159154943

631.9696439NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

115.83183457 1.2 1.1 0 0.0000 0 5.0000 5-382.33704667 7.9968389671 1.5598419484 0.1 5.0000 250.0566 3.6603 8.256614462.50179459 1.4684173294 2.0331047632 0.2 8.6603 -837.3589 1.3397 -9.057642-385.4158097 -1.051766912 2.053937284 0.3 10.0000 2233.47 -1.3397 27.9842187.48432204 0.2823480902 2.0154663429 0.4 8.6603 -6244.01 -3.6603 -85.55451101.00367769 -8.28011129 1.6155781829 0.5 5.0000 17064.35 -5.0000 216.8326

-113.36741864 -2.418170684 1.0806640843 0.6 0.0000 -46890.61 0.0000 -612.9178-92.009396721 2.8255828758 1.1010346939 0.7 0.0000 129001.2 0.0000 1683.659252.93966791 -2.199504333 1.132338621 0.8 0.0000 -354259 0.0000 -4622.764

-314.36192227 0.821922018 1.0634595053 0.9 0.0000 972642.8 0.0000 12691.83259.89828451 0.772235651 1.1431673887 1 0.0000 -2670386 0.0000 -34845.27

-115.53891441 -2.000632604 1.0817475411 1.1 0.0000 7331509 0.0000 95667.17-62.033960685 2.4444676466 1.1039392932 1.2 0.0000 -2E+07 0.0000 -262653207.44340838 -1.989075858 1.1267088827 1.3 0.0000 55262633 0.0000 721109.3

-270.48907305 0.8478530229 1.0696477409 1.4 0.0000 -1.52E+08 0.0000 -1979795233.24926272 0.5324986701 1.1386653256 1.5 0.0000 4.17E+08 0.0000 5435497

-114.67738788 -1.644846199 1.0830479491 1.6 0.0000 -1.14E+09 0.0000-14923077-38.248632561 2.1064026731 1.1061257728 1.7 0.0000 3.14E+09 0.0000 40971085168.90301081 -1.788649476 1.1220134326 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08-231.8069758 0.8490172868 1.0750318232 1.9 0.0000 2.37E+10 0.0000 3.09E+08208.26851774 0.3414858004 1.1345569775 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-111.56288216 -1.342968589 1.0844828381 2.1 0.0000 1.78E+11 0.0000 2.33E+09

Δůi

L2906
el tiempo lo vamos a variar
M2906
ESTE ES EL DATO QUE VA A VARIAR
O2906
este dato no es igual al de la segunda columna?
I2907
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N2907
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 232: Hojas de Calculo Fransua

-19.611434737 1.8078588014 1.1077273487 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09136.40195404 -1.600029654 1.1181188061 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-197.84532169 0.8316078561 1.0796977162 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.0750956 0.1910769834 1.1308319582 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-106.82810922 -1.087965194 1.0859875477 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-5.2311443531 1.5453419478 1.1088563854 2.7 0.0000 7.64E+13 0.0000 9.97E+11109.12378375 -1.424313589 1.1149078033 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-168.15023851 0.8006628432 1.083725266 2.9 0.0000 5.76E+14 0.0000 7.51E+12163.71966838 0.0743165376 1.1274742351 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-100.98181605 -0.873558274 1.0875121482 3.1 0.0000 4.34E+15 0.0000 5.66E+135.6513660994 1.3154595301 1.109607211 3.2 0.0000 -1.19E+16 0.0000 -1.56E+1486.344569192 -1.262045163 1.1122779294 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-142.28993692 0.7602469092 1.0871880167 3.4 0.0000 -9E+16 0.0000 -1.17E+15144.20060963 -0.014729405 1.1244638919 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-94.428953661 -0.694172085 1.0890188174 3.6 0.0000 -6.77E+17 0.0000 -8.84E+1513.679947743 1.114968034 1.1100586148 3.7 0.0000 1.86E+18 0.0000 2.43E+1667.425261537 -1.113342143 1.1101399094 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-119.85846364 0.7136081439 1.0901532094 3.9 0.0000 1.4E+19 0.0000 1.83E+17126.4771598 -0.081101674 1.1217785329 4 0.0000 -3.85E+19 0.0000 -5E+17

-87.488017314 -0.544876685 1.0904796149 4.1 0.0000 1.06E+20 0.0000 1.38E+1819.398253767 0.9408054282 1.1102760521 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1851.804143051 -0.978000636 1.1084162917 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-100.47795601 0.6633131411 1.0926819169 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19110.48012895 -0.12906373 1.1193943875 4.5 0.0000 6E+21 0.0000 7.83E+19-80.40589471 -0.421331955 1.0918746032 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2023.263189679 0.7901115323 1.1103135821 4.7 0.0000 4.52E+22 0.0000 5.9E+20

38.98950694 -0.855580232 1.1070401471 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21-83.799725655 0.6113628344 1.0948292772 4.9 0.0000 3.41E+23 0.0000 4.45E+2196.120524507 -0.162205035 1.1172871672 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-73.370528236 -0.319732961 1.0931902674 5.1 0.0000 2.57E+24 0.0000 3.35E+2225.656854526 0.6602389256 1.1102155656 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2228.552667532 -0.745472873 1.1059538682 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-69.504441859 0.5592914316 1.0966447962 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2383.296439283 -0.18353298 1.1154327187 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-66.521667336 -0.236757521 1.0944181937 5.6 0.0000 -4E+26 0.0000 -5.23E+2426.89709483 0.5487565356 1.1100181444 5.7 0.0000 1.1E+27 0.0000 1.44E+25

20.121368374 -0.646958033 1.1051080695 5.8 0.0000 -3E+27 0.0000 -3.94E+25-57.301636808 0.5082505585 1.0981726958 5.9 0.0000 8.3E+27 0.0000 1.08E+26

71.89848821 -0.195554272 1.1138075102 6 0.0000 -2.28E+28 0.0000 -3E+26-59.959959045 -0.169516532 1.09555397 6.1 0.0000 6.25E+28 0.0000 8.16E+2627.246792288 0.4534476665 1.1097505267 6.2 0.0000 -1.72E+29 0.0000 -2.24E+2713.373630283 -0.559246473 1.1044605864 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-46.928713518 0.4590805158 1.0994522885 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2861.814041124 -0.200346657 1.1123889815 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-53.754598139 -0.115507449 1.0965962761 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2926.92200316 0.3723039072 1.109436099 6.7 0.0000 2.68E+31 0.0000 3.49E+29

8.0320613619 -0.481514485 1.1039755701 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29-38.149602731 0.4123703488 1.1005183633 6.9 0.0000 2.02E+32 0.0000 2.63E+30

Page 233: Hojas de Calculo Fransua

52.930462694 -0.199621886 1.1111557865 7 0.0000 -5.54E+32 0.0000 -7.23E+30-47.949733841 -0.072571122 1.0975461361 7.1 0.0000 1.52E+33 0.0000 1.99E+3126.099062387 0.303516084 1.1090933842 7.2 0.0000 -4.18E+33 0.0000 -5.45E+313.8586355101 -0.412930283 1.1036226743 7.3 0.0000 1.15E+34 0.0000 1.5E+32

-30.753185813 0.3685082458 1.1014015724 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3245.137539034 -0.194780741 1.1100879477 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.569807298 -0.038852067 1.0984063073 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3324.920759397 0.2454631942 1.1087368636 7.7 0.0000 6.52E+35 0.0000 8.5E+330.6499342377 -0.35267394 1.1033763263 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34

-24.551576365 0.3277236079 1.1021288097 7.9 0.0000 4.91E+36 0.0000 6.41E+3438.329242924 -0.186960951 1.1091669426 8 0.0000 -1.35E+37 0.0000 -1.76E+35-37.62397335 -0.012762181 1.099180786 8.1 0.0000 3.7E+37 0.0000 4.83E+3523.501685684 0.1967000666 1.1083776803 8.2 0.0000 -1E+38 0.0000 -1.33E+36

-1.7671620794 -0.299952069 1.1032150802 8.3 0.0000 2.79E+38 0.0000 3.64E+36-19.378333017 0.2901219762 1.1027235755 8.4 0.0000 -7.66E+38 0.0000 -1E+37

32.4049657 -0.177078734 1.1083757376 8.5 0.0000 2.1E+39 0.0000 2.75E+37-33.109741303 0.0070521904 1.0998744105 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3721.932846948 0.1559443344 1.1080242367 8.7 0.0000 1.59E+40 0.0000 2.07E+38

-3.5393535686 -0.254008239 1.1031210415 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-15.086659168 0.2557138558 1.1032063223 8.9 0.0000 1.2E+41 0.0000 1.56E+3927.270323176 -0.165864686 1.1076987808 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-29.015952364 0.021739973 1.1004925451 9.1 0.0000 9.01E+41 0.0000 1.18E+4020.285625147 0.1220631723 1.1076827024 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40

-4.7903951223 -0.214129989 1.1030793616 9.3 0.0000 6.79E+42 0.0000 8.86E+40-11.547631711 0.2244383505 1.1035947796 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4122.837625204 -0.153894651 1.1071219646 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-25.325196196 0.0322720213 1.1010408331 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4218.615168347 0.0940601444 1.1073574414 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-5.6241924526 -0.179653125 1.1030777923 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-8.6484896148 0.1961824004 1.1039042561 9.9 0.0000 2.91E+45 0.0000 3.8E+4319.026083196 -0.141616178 1.1066325673 10 0.0000 -8E+45 0.0000 -1E+44

-22.015755359 0.0394649236 1.1015250046 10.1 0.0000 2.19E+46 0.0000 2.86E+4416.963279052 0.0710624166 1.1070513716 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-6.1275482296 -0.149963906 1.1031062971 10.3 0.0000 1.65E+47 0.0000 2.16E+45-6.2910041699 0.1707963129 1.1041479175 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4515.761816948 -0.129371088 1.1062191787 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-19.063154313 0.0440021493 1.1019507317 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4615.360864722 0.0523085187 1.1067662651 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-6.3725870231 -0.124499592 1.1031567115 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-4.3899455011 0.1481061832 1.1043370411 10.9 0.0000 7.08E+49 0.0000 9.23E+4712.977710983 -0.117414668 1.1058716168 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-16.441378905 0.0464527543 1.1023235211 11.1 0.0000 5.33E+50 0.0000 6.96E+4813.830007655 0.0371367809 1.1065029979 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-6.4188874765 -0.102747755 1.1032224492 11.3 0.0000 4.02E+51 0.0000 5.25E+49-2.871654191 0.1279237179 1.1044812473 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5010.613161314 -0.105931893 1.1055808386 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-14.123822807 0.0472878532 1.1026486366 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.385705208 0.0249745243 1.1062617555 11.7 0.0000 2.28E+53 0.0000 2.98E+51

Page 234: Hojas de Calculo Fransua

-6.3153493057 -0.084244685 1.1032982475 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-1.6727223823 0.1100539018 1.1045887084 11.9 0.0000 1.72E+54 0.0000 2.25E+528.6137455681 -0.095051096 1.1053388486 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-12.084009096 0.0468950649 1.1029310471 12.1 0.0000 1.3E+55 0.0000 1.69E+5311.037325666 0.0153280497 1.1060422028 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-6.1018214987 -0.068573137 1.1033799484 12.3 0.0000 9.78E+55 0.0000 1.28E+54-0.7387852711 0.0943008847 1.1046663358 12.4 0.0000 -2.69E+56 0.0000 -3.51E+546.9308428319 -0.084855432 1.1051386084 12.5 0.0000 7.38E+56 0.0000 9.62E+54-10.29612787 0.0455911291 1.1031753933 12.6 0.0000 -2E+57 0.0000 -2.64E+559.7898197908 0.0077734385 1.1058436217 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-5.8105166118 -0.055359656 1.1034643108 12.8 0.0000 -1.53E+58 0.0000 -2E+56-0.0234212984 0.0804724082 1.1047199484 12.9 0.0000 4.19E+58 0.0000 5.47E+565.5212240217 -0.075392423 1.1049739477 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-8.7354245358 0.0436328821 1.1033859706 13.1 0.0000 3.16E+59 0.0000 4.12E+578.64472332 0.0019481614 1.1056650228 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-5.4672344132 -0.04427162 1.1035488499 13.3 0.0000 2.38E+60 0.0000 3.11E+580.5128425706 0.0683830438 1.1047544211 13.4 0.0000 -6.54E+60 0.0000 -8.53E+584.3466289971 -0.066681884 1.104839479 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-7.3784678794 0.0412267657 1.1035667231 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.600981296 -0.002456528 1.105505235 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-5.0924163925 -0.035014151 1.103631701 13.8 0.0000 -3.71E+62 0.0000 -4.85E+600.9034254431 0.0578564706 1.1047738169 13.9 0.0000 1.02E+63 0.0000 1.33E+613.3733428559 -0.058722455 1.1047305177 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-6.2033223386 0.0385370346 1.1037212467 14.1 0.0000 7.69E+63 0.0000 1E+626.6556212212 -0.00570245 1.1053629759 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-4.7020508941 -0.02732699 1.1037115039 14.3 0.0000 5.79E+64 0.0000 7.56E+621.1764928478 0.0487269854 1.1047815036 14.4 0.0000 -1.59E+65 0.0000 -2.08E+632.5717807364 -0.051496941 1.1046430059 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-5.1896448203 0.0356928117 1.1038527994 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.8042984946 -0.00801064 1.105236908 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-4.3084468885 -0.020981408 1.1037873056 14.8 0.0000 -9E+66 0.0000 -1.18E+651.3556692639 0.040840405 1.1047802555 14.9 0.0000 2.48E+67 0.0000 3.24E+651.9160879335 -0.044976664 1.1045734426 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-4.3187229196 0.0327941276 1.1039643158 15.1 0.0000 1.87E+68 0.0000 2.44E+665.0417344512 -0.009566831 1.1051256806 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-3.9208927003 -0.015777212 1.1038584785 15.3 0.0000 1.41E+69 0.0000 1.84E+671.4606695384 0.034054494 1.1047723426 15.4 0.0000 -3.87E+69 0.0000 -5.05E+671.3837600927 -0.039124958 1.1045188194 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-3.57346843 0.0299170715 1.1040584251 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.3620645378 -0.010526316 1.1050279628 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.5462143935 -0.011539898 1.1039246521 15.8 0.0000 -2.2E+71 0.0000 -2.87E+691.5078559579 0.0282390274 1.1047596086 15.9 0.0000 6.04E+71 0.0000 7.88E+690.9552866198 -0.033899969 1.1044765615 16 0.0000 -1.66E+72 0.0000 -2.16E+70

-2.9383775114 0.0271181632 1.1041374712 16.1 0.0000 4.55E+72 0.0000 5.94E+703.7591116877 -0.011018249 1.1049424669 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.1892469827 -0.008117953 1.1039856568 16.3 0.0000 3.43E+73 0.0000 4.48E+711.5107276471 0.0232755793 1.1047435382 16.4 0.0000 -9.42E+73 0.0000 -1.23E+720.6138191561 -0.029256856 1.1044444744 16.5 0.0000 2.59E+74 0.0000 3.37E+72

Page 235: Hojas de Calculo Fransua

-2.3994667422 0.0244380496 1.1042035341 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.2265977898 -0.011149425 1.1048679653 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.8532302107 -0.005380346 1.1040414768 16.8 0.0000 -5.35E+75 0.0000 -7E+731.4803487463 0.019057111 1.104725315 16.9 0.0000 1.47E+76 0.0000 1.92E+740.3448659639 -0.025149505 1.1044206953 17 0.0000 -4E+76 0.0000 -5.26E+74

-1.9441924888 0.0219046145 1.1042584508 17.1 0.0000 1.11E+77 0.0000 1.44E+752.7583042408 -0.011007592 1.1048033019 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5401393096 -0.003214211 1.1040922117 17.3 0.0000 8.35E+77 0.0000 1.09E+761.4257215186 0.0154874161 1.104705872 17.4 0.0000 -2.29E+78 0.0000 -3E+76

0.136012299 -0.021531846 1.1044036505 17.5 0.0000 6.29E+78 0.0000 8.21E+76-1.5613595172 0.0195355828 1.1043038373 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.3481909056 -0.010664349 1.104747399 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2509599462 -0.001522712 1.1041380459 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.3541101788 0.0124804732 1.104685934 17.9 0.0000 3.57E+80 0.0000 4.66E+78-0.023333736 -0.01835883 1.1043920161 18 0.0000 -9.81E+80 0.0000 -1.28E+79

-1.2410235141 0.0173406891 1.1043411091 18.1 0.0000 2.69E+81 0.0000 3.52E+791.9904813691 -0.010177654 1.1046992608 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-1.9859154459 -0.000223105 1.1041792228 18.3 0.0000 2.03E+82 0.0000 2.65E+801.2713208448 0.0099597403 1.1046660546 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80

-0.1421707786 -0.015587144 1.1043846844 18.5 0.0000 1.53E+83 0.0000 2E+81-0.9743911465 0.0153234744 1.1043715009 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.6797211042 -0.009594003 1.1046579744 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.7446533825 0.0007550171 1.1042160251 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.1819425978 0.0078574235 1.1046466472 18.9 0.0000 8.7E+84 0.0000 1.13E+83

-0.22811046 -0.013175709 1.1043807329 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.7537204305 0.0134827648 1.1043960857 19.1 0.0000 6.56E+85 0.0000 8.55E+831.4108141061 -0.008950306 1.1046227086 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.5263977196 0.0014713077 1.1042487587 19.3 0.0000 4.94E+86 0.0000 6.45E+841.0895542264 0.0061137403 1.1046280111 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.28756174 -0.011086002 1.104379398 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.5722234752 0.0118138806 1.104415792 19.6 0.0000 -1E+88 0.0000 -1.33E+861.1790426077 -0.008275498 1.1045927111 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.3300718748 0.0019760803 1.1042777402 19.8 0.0000 -7.71E+88 0.0000 -1E+870.9969008183 0.0046761952 1.104610354 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.3258948578 -0.009282243 1.1043800516 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo2.1554562646 -1.162885913 2.15545626467.9203905683 8.1934642576 8.1934642576200.50082461 250.85162047 250.85162047

62.831853072

Page 236: Hojas de Calculo Fransua

0.0159154943632.33575285

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

112.29159282 1.3 1.2 0 0.0000 0 5.0000 5-373.20132257 7.9203905683 1.6610195284 0.1 5.0000 250.0566 3.6603 8.256614451.35244508 1.4952946494 2.1318037893 0.2 8.6603 -837.3589 1.3397 -9.057642-376.3536543 -1.022245143 2.1554562646 0.3 10.0000 2233.47 -1.3397 27.9842183.63328216 0.2101546029 2.1148517376 0.4 8.6603 -6244.01 -3.6603 -85.5545198.559001246 -8.193464258 1.7156862548 0.5 5.0000 17064.35 -5.0000 216.8326

-105.85509375 -2.487468947 1.1816395946 0.6 0.0000 -46890.61 0.0000 -612.9178-101.61779465 2.8537217373 1.1999522341 0.7 0.0000 129001.2 0.0000 1683.659261.08982618 -2.178731998 1.233701721 0.8 0.0000 -354259 0.0000 -4622.764-318.2207701 0.7624158433 1.1628859133 0.9 0.0000 972642.8 0.0000 12691.83258.32675264 0.8470164888 1.2433575299 1 0.0000 -2670386 0.0000 -34845.27-109.4041649 -2.063083739 1.1825541674 1.1 0.0000 7331509 0.0000 95667.17

-70.281397475 2.4729454204 1.2030472515 1.2 0.0000 -2E+07 0.0000 -262653214.73504954 -1.975303539 1.2279293455 1.3 0.0000 55262633 0.0000 721109.3

-274.27067822 0.7991301042 1.1691206738 1.4 0.0000 -1.52E+08 0.0000 -1979795232.36549632 0.5967823138 1.2389162947 1.5 0.0000 4.17E+08 0.0000 5435497-109.7064457 -1.700824571 1.1837141818 1.6 0.0000 -1.14E+09 0.0000-14923077

-45.299213732 2.1345210744 1.205399007 1.7 0.0000 3.14E+09 0.0000 40971085175.39467375 -1.780416251 1.2231042481 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-235.44930434 0.8094194239 1.1745544067 1.9 0.0000 2.37E+10 0.0000 3.09E+08207.9188711 0.3965235695 1.2348515564 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-107.57058983 -1.392893947 1.1850330375 2.1 0.0000 1.78E+11 0.0000 2.33E+09-25.613835478 1.8351026 1.2071434702 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09142.15470591 -1.596122119 1.2190924943 2.3 0.0000 1.34E+12 0.0000 1.75E+10-201.3049133 0.7996966844 1.1792712225 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.1329975 0.2380051179 1.2311563127 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-103.65472354 -1.132282239 1.1864424566 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-10.319282239 1.5713441032 1.2083955499 2.7 0.0000 7.64E+13 0.0000 9.97E+11114.19927028 -1.423729844 1.2157762628 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12-171.3984791 0.775195611 1.1833495512 2.9 0.0000 5.76E+14 0.0000 7.51E+12164.08154999 0.114160625 1.227817363 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-98.490067055 -0.912720816 1.1878893534 3.1 0.0000 4.34E+15 0.0000 5.66E+131.3575095228 1.3399718891 1.209251907 3.2 0.0000 -1.19E+16 0.0000 -1.56E+1490.803542047 -1.263963282 1.2130523374 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-145.30994736 0.7401541256 1.1868618796 3.4 0.0000 -9E+16 0.0000 -1.17E+15144.78235944 0.0189512675 1.2248171492 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-92.501358109 -0.728630987 1.1893331633 3.6 0.0000 -6.77E+17 0.0000 -8.84E+1510.07341157 1.1378368256 1.2097934552 3.7 0.0000 1.86E+18 0.0000 2.43E+16

71.326494649 -1.117092689 1.210830662 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16-122.64251694 0.6979731072 1.1898746829 3.9 0.0000 1.4E+19 0.0000 1.83E+17

Δůi

L3128
el tiempo lo vamos a variar
M3128
ESTE ES EL DATO QUE VA A VARIAR
O3128
este dato no es igual al de la segunda columna?
I3129
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N3129
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 237: Hojas de Calculo Fransua

127.21104964 -0.052762211 1.2221352278 4 0.0000 -3.85E+19 0.0000 -5E+17-86.024440555 -0.575070894 1.1907435726 4.1 0.0000 1.06E+20 0.0000 1.38E+1816.384131802 0.961950878 1.2100875718 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1855.203663627 -0.983042788 1.2090329763 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-103.02534589 0.6513533173 1.1924485027 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19111.31215904 -0.10533469 1.2197494341 4.5 0.0000 6E+21 0.0000 7.83E+19

-79.321351183 -0.44768204 1.1920985975 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2020.757647456 0.8095110025 1.2101900456 4.7 0.0000 4.52E+22 0.0000 5.9E+2041.940078675 -0.861481141 1.2075915387 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-86.115019092 0.6024130219 1.1946381327 4.9 0.0000 3.41E+23 0.0000 4.45E+2197.008139441 -0.142439836 1.2176367921 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-72.593207965 -0.342636676 1.1933829664 5.1 0.0000 2.57E+24 0.0000 3.35E+2223.586154714 0.6779130571 1.2101467855 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2231.103473836 -0.751889872 1.2064479447 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-71.596056818 0.5527886264 1.1964928825 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2384.206571042 -0.167162024 1.2157742126 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-65.991174221 -0.256586964 1.1945867631 5.6 0.0000 -4E+26 0.0000 -5.23E+2425.196649921 0.5647579377 1.2099953118 5.7 0.0000 1.1E+27 0.0000 1.44E+2522.317852229 -0.653623376 1.2055520399 5.8 0.0000 -3E+27 0.0000 -3.94E+25-59.18069411 0.5037204184 1.1980568921 5.9 0.0000 8.3E+27 0.0000 1.08E+2672.805886231 -0.182077882 1.2141390189 6 0.0000 -2.28E+28 0.0000 -3E+26

-59.625745678 -0.186616576 1.195704296 6.1 0.0000 6.25E+28 0.0000 8.16E+2625.860258096 0.467851758 1.2097660552 6.2 0.0000 -1.72E+29 0.0000 -2.24E+2715.257454844 -0.565954287 1.2048609287 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-48.608118789 0.4561253141 1.19936948 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2862.699853294 -0.189328282 1.2127093316 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-53.574581535 -0.130195152 1.19673316 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2925.800422423 0.3852015656 1.2094834807 6.7 0.0000 2.68E+31 0.0000 3.49E+29

9.641161842 -0.488109672 1.2043380753 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29-39.643320406 0.4106583028 1.2004655068 6.9 0.0000 2.02E+32 0.0000 2.63E+3053.781034844 -0.19068165 1.2114643395 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-47.889076444 -0.085135881 1.1976734629 7.1 0.0000 1.52E+33 0.0000 1.99E+3125.20006432 0.3150078076 1.2091670592 7.2 0.0000 -4.18E+33 0.0000 -5.45E+31

5.2273383041 -0.41929911 1.2039524941 7.3 0.0000 1.15E+34 0.0000 1.5E+32-32.075672618 0.3677641043 1.2013757438 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3245.943403911 -0.187589397 1.2103844791 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.599848025 -0.049556335 1.1985271925 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3324.207818388 0.2556545225 1.2088321019 7.7 0.0000 6.52E+35 0.0000 8.5E+331.8091238505 -0.358736102 1.203678023 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34

-25.717346429 0.3277203851 1.2021272371 7.9 0.0000 4.91E+36 0.0000 6.41E+3439.084272846 -0.181234257 1.2094515435 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-37.721294031 -0.021842577 1.1992977018 8.1 0.0000 3.7E+37 0.0000 4.83E+3522.943440246 0.2056980425 1.2084904751 8.2 0.0000 -1E+38 0.0000 -1.33E+36

-0.7898439055 -0.305654027 1.2034926759 8.3 0.0000 2.79E+38 0.0000 3.64E+36-20.401630935 0.290673721 1.2027436606 8.4 0.0000 -7.66E+38 0.0000 -1E+3733.105666045 -0.172572273 1.208648733 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-33.2553546 -0.000616512 1.1999892937 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3721.502478468 0.1638548214 1.2081512092 8.7 0.0000 1.59E+40 0.0000 2.07E+38

Page 238: Hojas de Calculo Fransua

-2.7192888959 -0.259317652 1.2033780676 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-15.981220952 0.2566693537 1.2032456527 8.9 0.0000 1.2E+41 0.0000 1.56E+3927.915246553 -0.162369133 1.2079606638 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-29.194598181 0.0152936598 1.2006068901 9.1 0.0000 9.01E+41 0.0000 1.18E+4019.960294786 0.1289888714 1.2078210167 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40

-4.1057607231 -0.219031087 1.2033189059 9.3 0.0000 6.79E+42 0.0000 8.86E+40-12.326516713 0.2256756582 1.2036511345 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4123.426888625 -0.151231469 1.2073733439 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-25.524734476 0.0268800002 1.2011557705 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4218.375509626 0.1000991765 1.2075047294 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-5.0557280558 -0.18414289 1.2033025437 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-9.3239692095 0.1976041225 1.2039756053 9.9 0.0000 2.91E+45 0.0000 3.8E+4319.560972792 -0.139633728 1.206874125 10 0.0000 -8E+45 0.0000 -1E+44

-22.226644151 0.0349785996 1.2016413686 10.1 0.0000 2.19E+46 0.0000 2.86E+4416.792943062 0.0763073598 1.2072056666 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-5.6583277664 -0.154048935 1.2033185878 10.3 0.0000 1.65E+47 0.0000 2.16E+45-6.8744953605 0.1723255359 1.2042324179 10.4 0.0000 -4.54E+47 0.0000 -5.92E+45

16.24446674 -0.12794115 1.2064516372 10.5 0.0000 1.25E+48 0.0000 1.63E+46-19.278002933 0.040290733 1.2020691163 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4615.246114544 0.0568458064 1.2069259433 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-5.9877970443 -0.12819354 1.2033585566 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-4.8919795874 0.1496829892 1.2044330291 10.9 0.0000 7.08E+49 0.0000 9.23E+4713.410844061 -0.116429313 1.2060957129 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-16.654566962 0.0434016075 1.2024443276 11.1 0.0000 5.33E+50 0.0000 6.96E+4813.759358363 0.0410463835 1.2066667272 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-6.1056157123 -0.106069271 1.2034155828 11.3 0.0000 4.02E+51 0.0000 5.25E+49-3.3018723766 0.129502208 1.2045872297 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5010.999883301 -0.105300718 1.2057973042 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-14.331176761 0.0447969024 1.2027721134 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.349605767 0.0283298497 1.206428451 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-6.0623853744 -0.087215753 1.2034841559 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-2.0398916502 0.1115996645 1.2047033515 11.9 0.0000 1.72E+54 0.0000 2.25E+528.9573817112 -0.09469877 1.2055483962 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-12.282528869 0.0448772994 1.2030573227 12.1 0.0000 1.3E+55 0.0000 1.69E+5311.027879048 0.0181960105 1.2062109882 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-5.8994710047 -0.071217769 1.2035599003 12.3 0.0000 9.78E+55 0.0000 1.28E+54-1.0508290976 0.0957888528 1.2047884544 12.4 0.0000 -2.69E+56 0.0000 -3.51E+547.2348112595 -0.08471953 1.2053419206 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-10.483756827 0.0439711951 1.2033045038 12.6 0.0000 -2E+57 0.0000 -2.64E+559.8005377562 0.0102146419 1.2060137957 12.7 0.0000 5.56E+57 0.0000 7.25E+55-5.650429275 -0.057702865 1.2036393845 12.8 0.0000 -1.53E+58 0.0000 -2E+56

-0.2874608182 0.0818850525 1.2048484939 12.9 0.0000 4.19E+58 0.0000 5.47E+565.7889388236 -0.075421535 1.2051716698 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-8.9108569004 0.0423457781 1.2035178819 13.1 0.0000 3.16E+59 0.0000 4.12E+578.6703124196 0.0040171872 1.2058360302 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-5.3422464074 -0.046338628 1.2037199582 13.3 0.0000 2.38E+60 0.0000 3.11E+580.2904404577 0.069708858 1.2048884697 13.4 0.0000 -6.54E+60 0.0000 -8.53E+58

4.581427725 -0.066833954 1.2050322149 13.5 0.0000 1.79E+61 0.0000 2.34E+59

Page 239: Hojas de Calculo Fransua

-7.5409883343 0.0402166435 1.2037013494 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.6371568811 -0.00071079 1.2056766421 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-4.9964067199 -0.036829795 1.2037996128 13.8 0.0000 -3.71E+62 0.0000 -4.85E+600.7169958033 0.0590887068 1.2049125584 13.9 0.0000 1.02E+63 0.0000 1.33E+61

3.578433874 -0.058963337 1.2049188269 14 0.0000 -2.8E+63 0.0000 -3.65E+61-6.352673184 0.0377561036 1.2038584652 14.1 0.0000 7.69E+63 0.0000 1E+626.6989464253 -0.004236422 1.2055344493 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-4.6298113656 -0.028915285 1.203876864 14.3 0.0000 5.79E+64 0.0000 7.56E+621.0210184524 0.0498626051 1.20492423 14.4 0.0000 -1.59E+65 0.0000 -2.08E+632.7502065725 -0.051799151 1.2048274027 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-5.3259166299 0.0351003447 1.2039924624 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.8520453869 -0.006785663 1.2054081965 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-4.2555650918 -0.022365232 1.2039506518 14.8 0.0000 -9E+66 0.0000 -1.18E+651.2267260048 0.0418792128 1.2049263508 14.9 0.0000 2.48E+67 0.0000 3.24E+652.0707014022 -0.045318296 1.2047543966 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-4.4422651499 0.0323555648 1.20410626 15.1 0.0000 1.87E+68 0.0000 2.44E+665.0917647855 -0.008548761 1.2052966002 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-3.8836472164 -0.016978106 1.2040202568 15.3 0.0000 1.41E+69 0.0000 1.84E+671.3543727766 0.0349984281 1.2049212729 15.4 0.0000 -3.87E+69 0.0000 -5.05E+671.5172104978 -0.03948876 1.2046967564 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-3.6848168992 0.0296032158 1.2042024791 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.4127277431 -0.009685129 1.2051983835 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.5214814424 -0.012577931 1.2040852306 15.8 0.0000 -2.2E+71 0.0000 -2.87E+691.4208087261 0.0290915822 1.2049109131 15.9 0.0000 6.04E+71 0.0000 7.88E+691.0700138037 -0.034272541 1.2046518652 16 0.0000 -1.66E+72 0.0000 -2.16E+70

-3.0381960721 0.0269044629 1.2042834613 16.1 0.0000 4.55E+72 0.0000 5.94E+703.80915797 -0.010327647 1.2051123021 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.1744176378 -0.009011662 1.2041453367 16.3 0.0000 3.43E+73 0.0000 4.48E+711.4399713564 0.0240413398 1.2048968206 16.4 0.0000 -9.42E+73 0.0000 -1.23E+720.7120535528 -0.029627973 1.2046174889 16.5 0.0000 2.59E+74 0.0000 3.37E+72

-2.4885008421 0.0243039604 1.2043512883 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.2751044214 -0.010586471 1.2050371628 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.8461373131 -0.006146723 1.2042005031 16.8 0.0000 -5.35E+75 0.0000 -7E+731.4233168294 0.0197413796 1.2048802359 16.9 0.0000 1.47E+76 0.0000 1.92E+740.4286331482 -0.025511542 1.2045917278 17 0.0000 -4E+76 0.0000 -5.26E+74

-2.0232326338 0.021833036 1.2044078025 17.1 0.0000 1.11E+77 0.0000 1.44E+752.8046133129 -0.010552361 1.2049718363 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5389932183 -0.003868723 1.2042507821 17.3 0.0000 8.35E+77 0.0000 1.09E+761.3801962698 0.0160959188 1.2048621419 17.4 0.0000 -2.29E+78 0.0000 -3E+760.2071408039 -0.021879287 1.2045729735 17.5 0.0000 6.29E+78 0.0000 8.21E+76

-1.6312129368 0.0195123618 1.2044546273 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.3918570075 -0.010299596 1.2049152655 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2542922914 -0.002079351 1.2042963181 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.3181829196 0.0130191298 1.2048433071 17.9 0.0000 3.57E+80 0.0000 4.66E+780.0367976795 -0.018687858 1.2045598707 18 0.0000 -9.81E+80 0.0000 -1.28E+79

-1.3024925813 0.0173541847 1.204493187 18.1 0.0000 2.69E+81 0.0000 3.52E+792.0312278275 -0.009888518 1.2048664704 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-1.9925300857 -0.000694458 1.2043373215 18.3 0.0000 2.03E+82 0.0000 2.65E+80

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1.2433554353 0.0104344883 1.204824323 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80-0.0915702185 -0.015895297 1.2045512826 18.5 0.0000 1.53E+83 0.0000 2E+81-1.0282573201 0.0153641776 1.2045247266 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.7174035766 -0.009367724 1.2048245492 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.7535838113 0.0003576867 1.2043740474 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.1605422414 0.0082740859 1.204805636 18.9 0.0000 8.7E+84 0.0000 1.13E+83

-0.1857374221 -0.013461593 1.2045462606 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.8007326792 0.0135429683 1.2045503294 19.1 0.0000 6.56E+85 0.0000 8.55E+831.4453904644 -0.008775975 1.204788679 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.5368702252 0.0011379708 1.2044067788 19.3 0.0000 4.94E+86 0.0000 6.45E+841.0735314549 0.0064779286 1.2047875738 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.2522629569 -0.011349052 1.2045440176 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.6130903078 0.0118873921 1.2045709346 19.6 0.0000 -1E+88 0.0000 -1.33E+86

1.210548183 -0.008143827 1.2047581129 19.7 0.0000 2.81E+88 0.0000 3.66E+86-1.341473794 0.0016978479 1.2044358139 19.8 0.0000 -7.71E+88 0.0000 -1E+870.9852505053 0.0049932421 1.2047703684 19.9 0.0000 2.12E+89 0.0000 2.76E+87-0.296654284 -0.009522528 1.2045439041 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo2.2569752791 -1.262312398 2.25697527917.8439438676 8.1068170606 8.1068170606194.95263349 245.25043311 245.25043311

62.8318530720.0159154943632.71372408

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

108.7510052 1.4 1.3 0 0.0000 0 5.0000 5-364.06537439 7.8439438676 1.7621971934 0.1 5.0000 250.0566 3.6603 8.256614440.20306661 1.5221692759 2.2305028506 0.2 8.6603 -837.3589 1.3397 -9.057642

-367.29166443 -0.992720705 2.2569752791 0.3 10.0000 2233.47 -1.3397 27.9842179.78253219 0.1379594233 2.214237215 0.4 8.6603 -6244.01 -3.6603 -85.55451

96.1140212 -8.106817061 1.8157943332 0.5 5.0000 17064.35 -5.0000 216.8326-98.342560924 -2.556765875 1.2826151864 0.6 0.0000 -46890.61 0.0000 -612.9178-111.22623586 2.881858324 1.2988698088 0.7 0.0000 129001.2 0.0000 1683.659269.23985685 -2.157957316 1.3350648592 0.8 0.0000 -354259 0.0000 -4622.764

-322.07937468 0.7029080929 1.2623123981 0.9 0.0000 972642.8 0.0000 12691.83

Δůi

L3350
el tiempo lo vamos a variar
M3350
ESTE ES EL DATO QUE VA A VARIAR
O3350
este dato no es igual al de la segunda columna?
I3351
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N3351
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 241: Hojas de Calculo Fransua

256.75495536 0.9217976108 1.3435476832 1 0.0000 -2670386 0.0000 -34845.27-103.26922401 -2.125533837 1.2833608719 1.1 0.0000 7331509 0.0000 95667.17-78.528887342 2.5014212821 1.3021552442 1.2 0.0000 -2E+07 0.0000 -262653222.02659426 -1.961529166 1.3291498499 1.3 0.0000 55262633 0.0000 721109.3

-278.05208032 0.750405731 1.2685936782 1.4 0.0000 -1.52E+08 0.0000 -1979795231.48149885 0.6610663252 1.339167281 1.5 0.0000 4.17E+08 0.0000 5435497

-104.73532866 -1.756802154 1.2843804895 1.6 0.0000 -1.14E+09 0.0000-14923077-52.349854166 2.1626378764 1.3046722757 1.7 0.0000 3.14E+09 0.0000 40971085181.88626566 -1.772181235 1.3241951078 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-239.09146428 0.7698202288 1.2740770575 1.9 0.0000 2.37E+10 0.0000 3.09E+08207.56902407 0.4515617609 1.3351461569 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-103.57813878 -1.442818718 1.2855833091 2.1 0.0000 1.78E+11 0.0000 2.33E+09-31.616298839 1.8623450679 1.3065596266 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09147.90740731 -1.592213027 1.3200662286 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-204.76436575 0.7677843005 1.2788447923 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.19072631 0.2849337065 1.3314806926 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-100.48119464 -1.176598859 1.286897435 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-15.407483911 1.5973451578 1.3079347499 2.7 0.0000 7.64E+13 0.0000 9.97E+11119.27472282 -1.423144753 1.3166447702 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-174.64660557 0.7497272827 1.2829738967 2.9 0.0000 5.76E+14 0.0000 7.51E+12164.44328268 0.1540051805 1.3281605198 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-95.998189545 -0.951883066 1.2882666255 3.1 0.0000 4.34E+15 0.0000 5.66E+13-2.93641034 1.3644833432 1.3088966394 3.2 0.0000 -1.19E+16 0.0000 -1.56E+14

95.262493986 -1.265880241 1.3138267945 3.3 0.0000 3.27E+16 0.0000 4.27E+14-148.32986489 0.7200603564 1.2865358002 3.4 0.0000 -9E+16 0.0000 -1.17E+15145.36398162 0.052632409 1.3251704385 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-90.573647811 -0.763089702 1.2896475739 3.6 0.0000 -6.77E+17 0.0000 -8.84E+156.4668138477 1.1607048784 1.3095283327 3.7 0.0000 1.86E+18 0.0000 2.43E+1675.227717089 -1.12084224 1.3115214646 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-125.42649521 0.682337189 1.2895962121 3.9 0.0000 1.4E+19 0.0000 1.83E+17127.94483057 -0.024422288 1.3224919571 4 0.0000 -3.85E+19 0.0000 -5E+17

-84.560761838 -0.605264998 1.2910075928 4.1 0.0000 1.06E+20 0.0000 1.38E+1813.369950915 0.9830957294 1.3098991294 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1858.603181434 -0.98808409 1.3096497114 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-105.57267576 0.6393927088 1.2922151424 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19112.14409657 -0.081605209 1.3201045174 4.5 0.0000 6E+21 0.0000 7.83E+19

-78.236717469 -0.474032086 1.2923226526 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2018.252049546 0.8289099923 1.3100665479 4.7 0.0000 4.52E+22 0.0000 5.9E+2044.890653617 -0.867381326 1.3081429813 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-88.430265059 0.5934625142 1.2944470407 4.9 0.0000 3.41E+23 0.0000 4.45E+2197.895676053 -0.122674218 1.3179864555 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-71.815808267 -0.3655404 1.2935757246 5.1 0.0000 2.57E+24 0.0000 3.35E+2221.515402839 0.6955868069 1.310078045 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2233.654287755 -0.758306257 1.3069420724 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-73.687634717 0.5462852079 1.29634102 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2385.116636831 -0.150790675 1.3161157466 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-65.460611444 -0.276416452 1.2947553903 5.6 0.0000 -4E+26 0.0000 -5.23E+2423.496156781 0.5807590403 1.3099725197 5.7 0.0000 1.1E+27 0.0000 1.44E+25

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24.514346836 -0.660288201 1.3059960617 5.8 0.0000 -3E+27 0.0000 -3.94E+25-61.059722948 0.4991897395 1.2979411386 5.9 0.0000 8.3E+27 0.0000 1.08E+2673.713228953 -0.168601126 1.3144705693 6 0.0000 -2.28E+28 0.0000 -3E+26

-59.291471465 -0.203716691 1.2958546784 6.1 0.0000 6.25E+28 0.0000 8.16E+2624.473679584 0.4822556179 1.3097816248 6.2 0.0000 -1.72E+29 0.0000 -2.24E+2717.141292277 -0.572661667 1.3052613223 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-50.287502646 0.4531696412 1.299286721 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2863.585619349 -0.178309569 1.3130297246 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-53.394511997 -0.144882944 1.296870099 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2924.678801249 0.3980990483 1.3095309042 6.7 0.0000 2.68E+31 0.0000 3.49E+2911.250276502 -0.494704497 1.3047006318 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29

-41.137022408 0.4089458462 1.3004126992 6.9 0.0000 2.02E+32 0.0000 2.63E+3054.63156875 -0.181741106 1.3117729362 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-47.828373177 -0.097700742 1.2978008438 7.1 0.0000 1.52E+33 0.0000 1.99E+3124.301029595 0.3264994011 1.3092407768 7.2 0.0000 -4.18E+33 0.0000 -5.45E+316.5960559534 -0.425667635 1.3042823651 7.3 0.0000 1.15E+34 0.0000 1.5E+32

-33.398148387 0.3670196065 1.3013499637 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3246.749237261 -0.180397774 1.3106810553 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.629849163 -0.06026071 1.2986481311 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3323.494844339 0.2658457579 1.3089273835 7.7 0.0000 6.52E+35 0.0000 8.5E+332.9683285044 -0.364798015 1.3039797706 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34

-26.883109166 0.3277168542 1.3021257126 7.9 0.0000 4.91E+36 0.0000 6.41E+3439.839276952 -0.17550731 1.3097361898 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-37.818580678 -0.030923084 1.2994146701 8.1 0.0000 3.7E+37 0.0000 4.83E+3522.385165191 0.2146959551 1.3086033137 8.2 0.0000 -1E+38 0.0000 -1.33E+360.1874891247 -0.31135578 1.3037703224 8.3 0.0000 2.79E+38 0.0000 3.64E+36

-21.424924462 0.2912252007 1.3027637935 8.4 0.0000 -7.66E+38 0.0000 -1E+3733.806345405 -0.168065586 1.3089217742 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-33.400938756 -0.008285325 1.3001042287 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3721.072083571 0.1717652687 1.3082782259 8.7 0.0000 1.59E+40 0.0000 2.07E+38

-1.8992098252 -0.264626897 1.3036351445 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-16.875780641 0.2576246243 1.3032850308 8.9 0.0000 1.2E+41 0.0000 1.56E+3928.560153016 -0.158873378 1.3082225932 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-29.373219149 0.0088472392 1.3007212863 9.1 0.0000 9.01E+41 0.0000 1.18E+4019.634940974 0.1359145493 1.3079593757 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40

-3.4211125791 -0.223932049 1.3035585007 9.3 0.0000 6.79E+42 0.0000 8.86E+40-13.105401382 0.2269127718 1.3037075368 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4124.016138547 -0.148568105 1.3076247701 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-25.724251657 0.021487876 1.3012707587 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4218.13583018 0.1061382017 1.3076520625 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-4.4872506994 -0.188632546 1.3035273453 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-9.9994497993 0.1990256795 1.304047002 9.9 0.0000 2.91E+45 0.0000 3.8E+4320.095851734 -0.13765112 1.30711573 10 0.0000 -8E+45 0.0000 -1E+44

-22.437515107 0.030492178 1.3017577829 10.1 0.0000 2.19E+46 0.0000 2.86E+4416.622588835 0.081552307 1.3073600071 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-5.1890952106 -0.158133878 1.3035309286 10.3 0.0000 1.65E+47 0.0000 2.16E+45-7.4579885189 0.173854619 1.3043169657 10.4 0.0000 -4.54E+47 0.0000 -5.92E+45

16.72710824 -0.126511071 1.3066841431 10.5 0.0000 1.25E+48 0.0000 1.63E+46

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-19.492836544 0.0365792253 1.3021875508 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4615.131348385 0.0613831062 1.3070856674 10.7 0.0000 9.39E+48 0.0000 1.23E+47

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-5.6971120458 -0.073862373 1.3037399015 12.3 0.0000 9.78E+55 0.0000 1.28E+54-1.3628764433 0.0972767524 1.3049106204 12.4 0.0000 -2.69E+56 0.0000 -3.51E+547.5387772797 -0.084583547 1.3055452807 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-10.671378644 0.0423511963 1.3034336632 12.6 0.0000 -2E+57 0.0000 -2.64E+559.8112466685 0.012655871 1.3061840166 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-5.4903343176 -0.060046053 1.3038145075 12.8 0.0000 -1.53E+58 0.0000 -2E+56-0.5515038811 0.0832976403 1.3049770868 12.9 0.0000 4.19E+58 0.0000 5.47E+566.0566520529 -0.075450576 1.30536944 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-9.0862834266 0.0410586158 1.303649842 13.1 0.0000 3.16E+59 0.0000 4.12E+578.6958937429 0.0060862391 1.3060070847 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-5.2172515774 -0.048405622 1.3038911156 13.3 0.0000 2.38E+60 0.0000 3.11E+580.06803486 0.0710346258 1.3050225658 13.4 0.0000 -6.54E+60 0.0000 -8.53E+58

4.8162255394 -0.066985963 1.305224999 13.5 0.0000 1.79E+61 0.0000 2.34E+59-7.7035040513 0.0392064689 1.3038360243 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.6733258134 0.0010349749 1.3058480965 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-4.9003909666 -0.038645431 1.3039675737 13.8 0.0000 -3.71E+62 0.0000 -4.85E+600.5305627975 0.0603209054 1.3050513474 13.9 0.0000 1.02E+63 0.0000 1.33E+61

3.783524492 -0.059204167 1.3051071843 14 0.0000 -2.8E+63 0.0000 -3.65E+61-6.5020202179 0.0369751257 1.3039957323 14.1 0.0000 7.69E+63 0.0000 1E+626.7422659612 -0.002770368 1.3057059702 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62-4.557566444 -0.030503575 1.304042273 14.3 0.0000 5.79E+64 0.0000 7.56E+620.8655408524 0.0509981943 1.305067004 14.4 0.0000 -1.59E+65 0.0000 -2.08E+632.9286324016 -0.052101316 1.3050118479 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-5.4621854036 0.0345078361 1.3041321739 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.8997874706 -0.005560662 1.3055795326 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-4.2026785331 -0.023749056 1.3041140467 14.8 0.0000 -9E+66 0.0000 -1.18E+651.097779731 0.0429179962 1.3050724937 14.9 0.0000 2.48E+67 0.0000 3.24E+65

2.2253151582 -0.045659892 1.3049353989 15 0.0000 -6.81E+67 0.0000 -8.89E+65-4.5658049908 0.0319169652 1.3042482526 15.1 0.0000 1.87E+68 0.0000 2.44E+665.1417910584 -0.00753067 1.3054675674 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-3.8463975459 -0.018179001 1.3041820839 15.3 0.0000 1.41E+69 0.0000 1.84E+67

Page 244: Hojas de Calculo Fransua

1.2480732072 0.0359423429 1.305070251 15.4 0.0000 -3.87E+69 0.0000 -5.05E+671.6506614047 -0.03985253 1.3048747416 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-3.7961635144 0.0292893279 1.3043465815 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.4633875341 -0.00884392 1.3053688519 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.4967448255 -0.013615967 1.3042458576 15.8 0.0000 -2.2E+71 0.0000 -2.87E+691.3337589024 0.0299441221 1.3050622654 15.9 0.0000 6.04E+71 0.0000 7.88E+691.1847416392 -0.034645085 1.3048272172 16 0.0000 -1.66E+72 0.0000 -2.16E+70

-3.1380132198 0.0266907343 1.3044294996 16.1 0.0000 4.55E+72 0.0000 5.94E+703.8592013963 -0.009637025 1.3052821851 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.1595850964 -0.009905376 1.3043050651 16.3 0.0000 3.43E+73 0.0000 4.48E+711.3692126911 0.0248070887 1.3050501507 16.4 0.0000 -9.42E+73 0.0000 -1.23E+720.8102886993 -0.029999067 1.3047905518 16.5 0.0000 2.59E+74 0.0000 3.37E+72

-2.5775338899 0.0241698465 1.3044990908 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.3236086765 -0.010023499 1.3052064081 16.7 0.0000 1.95E+75 0.0000 2.54E+73-2.839041639 -0.006913106 1.3043595779 16.8 0.0000 -5.35E+75 0.0000 -7E+731.3662827515 0.0204256395 1.3050352045 16.9 0.0000 1.47E+76 0.0000 1.92E+740.5124011395 -0.02587356 1.3047628085 17 0.0000 -4E+76 0.0000 -5.26E+74

-2.1022720194 0.021761436 1.3045572024 17.1 0.0000 1.11E+77 0.0000 1.44E+752.8509204188 -0.010097112 1.3051404186 17.2 0.0000 -3E+77 0.0000 -4E+75-2.537844725 -0.004523241 1.3044094009 17.3 0.0000 8.35E+77 0.0000 1.09E+761.3346690669 0.0167044152 1.3050184596 17.4 0.0000 -2.29E+78 0.0000 -3E+760.2782701415 -0.022226711 1.3047423448 17.5 0.0000 6.29E+78 0.0000 8.21E+76

-1.7010658327 0.0194891222 1.3046054653 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.4355214928 -0.009934829 1.30508318 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2576225667 -0.002635996 1.3044546388 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.2822539031 0.013557782 1.305000728 17.9 0.0000 3.57E+80 0.0000 4.66E+780.0969299287 -0.019016873 1.3047277735 18 0.0000 -9.81E+80 0.0000 -1.28E+79

-1.3639613125 0.0173676642 1.3046453131 18.1 0.0000 2.69E+81 0.0000 3.52E+792.0719729661 -0.009599368 1.3050337279 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79-1.999142949 -0.001165818 1.3044954686 18.3 0.0000 2.03E+82 0.0000 2.65E+801.2153884538 0.0109092334 1.3049826394 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80

-0.0409688416 -0.01620344 1.304717929 18.5 0.0000 1.53E+83 0.0000 2E+81-1.0821233056 0.015404867 1.3046780004 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.7550849796 -0.009141433 1.3049911721 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.7625127216 -3.96499E-05 1.3045321179 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.1391404856 0.0086907465 1.3049646727 18.9 0.0000 8.7E+84 0.0000 1.13E+83

-0.1433635977 -0.013747469 1.3047118366 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.8477448546 0.0136031599 1.3047046211 19.1 0.0000 6.56E+85 0.0000 8.55E+831.4799659641 -0.008601634 1.3049546975 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.5473414381 0.000804628 1.3045648472 19.3 0.0000 4.94E+86 0.0000 6.45E+841.0575074434 0.0068421161 1.3049471844 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85-0.216963427 -0.011612096 1.3047086854 19.5 0.0000 3.72E+87 0.0000 4.86E+85

-0.6539571546 0.0119608936 1.3047261253 19.6 0.0000 -1E+88 0.0000 -1.33E+861.242053076 -0.008012146 1.3049235627 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.3528746175 0.0014196098 1.3045939358 19.8 0.0000 -7.71E+88 0.0000 -1E+870.9735990985 0.0053102889 1.3049304308 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.2674130093 -0.009762808 1.3047078048 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Page 245: Hojas de Calculo Fransua

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo2.3584943274 -1.361738959 2.35849432747.7674988551 8.0201697 8.0201697189.40448129 239.64917803 239.64917803

62.8318530720.0159154943633.10348462

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

105.21007375 1.5 1.4 0 0.0000 0 5.0000 5-354.92920346 7.7674988551 1.8633749428 0.1 5.0000 250.0566 3.6603 8.256614429.05365932 1.5490412248 2.3292019468 0.2 8.6603 -837.3589 1.3397 -9.057642-358.2298391 -0.963193612 2.3584943274 0.3 10.0000 2233.47 -1.3397 27.9842175.93207039 0.0657625615 2.3136227748 0.4 8.6603 -6244.01 -3.6603 -85.5545193.668739353 -8.0201697 1.9159024179 0.5 5.0000 17064.35 -5.0000 216.8326

-90.829821382 -2.626061475 1.3835908592 0.6 0.0000 -46890.61 0.0000 -612.9178-120.83472011 2.9099926494 1.3977874179 0.7 0.0000 129001.2 0.0000 1683.659277.38976068 -2.137180301 1.4364280353 0.8 0.0000 -354259 0.0000 -4622.764

-325.93773745 0.6433987762 1.3617389591 0.9 0.0000 972642.8 0.0000 12691.83255.18289426 0.9965790152 1.4437378486 1 0.0000 -2670386 0.0000 -34845.27

-97.134092872 -2.187982906 1.3841676541 1.1 0.0000 7331509 0.0000 95667.17-86.776429971 2.529895243 1.401263271 1.2 0.0000 -2E+07 0.0000 -262653

229.3180431 -1.947752751 1.4303703956 1.3 0.0000 55262633 0.0000 721109.3-281.83328055 0.701679912 1.3680667537 1.4 0.0000 -1.52E+08 0.0000 -1979795230.59727167 0.7253507021 1.4394182844 1.5 0.0000 4.17E+08 0.0000 5435497

-99.764037799 -1.812778952 1.3850468719 1.6 0.0000 -1.14E+09 0.0000-14923077-59.400553513 2.1907530885 1.4039455787 1.7 0.0000 3.14E+09 0.0000 40971085188.37778695 -1.763944437 1.4252860113 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-242.73345662 0.7302197092 1.3735997749 1.9 0.0000 2.37E+10 0.0000 3.09E+08207.21897783 0.5066003721 1.435440779 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-99.585529953 -1.492742904 1.3861336524 2.1 0.0000 1.78E+11 0.0000 2.33E+09-37.61882445 1.8895862131 1.4059758178 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09153.66005853 -1.58830239 1.421040009 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-208.22367985 0.7358707116 1.3784184251 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.24828304 0.3318627466 1.431805098 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-97.307523377 -1.220915059 1.3873524824 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-20.495748991 1.6233451181 1.4074739853 2.7 0.0000 7.64E+13 0.0000 9.97E+11

Δůi

L3572
el tiempo lo vamos a variar
M3572
ESTE ES EL DATO QUE VA A VARIAR
O3572
este dato no es igual al de la segunda columna?
I3573
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N3573
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 246: Hojas de Calculo Fransua

124.35014157 -1.422558323 1.4175133251 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12-177.8946186 0.7242578648 1.3825983022 2.9 0.0000 5.76E+14 0.0000 7.51E+12164.80486731 0.1938502014 1.4285037055 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-93.506184278 -0.991045026 1.3886439642 3.1 0.0000 4.34E+15 0.0000 5.66E+13-7.230393114 1.3889938978 1.4085414078 3.2 0.0000 -1.19E+16 0.0000 -1.56E+1499.721425133 -1.267796048 1.4146013003 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-151.34969006 0.6999656075 1.3862097783 3.4 0.0000 -9E+16 0.0000 -1.17E+15145.94547694 0.0863140163 1.4255237595 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-88.645823449 -0.797548231 1.3899620488 3.6 0.0000 -6.77E+17 0.0000 -8.84E+152.8601549414 1.1835721968 1.4092632471 3.7 0.0000 1.86E+18 0.0000 2.43E+1679.128928919 -1.124590801 1.4122123169 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-128.21039891 0.6667003944 1.3893177965 3.9 0.0000 1.4E+19 0.0000 1.83E+17128.67850322 0.0039180903 1.4228487208 4 0.0000 -3.85E+19 0.0000 -5E+17

-83.096981767 -0.635458998 1.3912716754 4.1 0.0000 1.06E+20 0.0000 1.38E+1810.355711455 1.004239986 1.4097107248 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1862.002696487 -0.993124545 1.4102664968 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-108.11994597 0.6274313203 1.3919818355 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19112.97594208 -0.057875288 1.4204596371 4.5 0.0000 6E+21 0.0000 7.83E+19

-77.151994103 -0.500382091 1.3925467681 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2015.746396279 0.8483085045 1.4099430888 4.7 0.0000 4.52E+22 0.0000 5.9E+2047.841231749 -0.873280791 1.4086944745 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-90.745463837 0.5845113154 1.3942560007 4.9 0.0000 3.41E+23 0.0000 4.45E+2198.783134806 -0.102908183 1.4183361574 5 0.0000 -9.36E+23 0.0000 -1.22E+22-71.03832961 -0.388444133 1.3937685416 5.1 0.0000 2.57E+24 0.0000 3.35E+2219.444599207 0.7132601773 1.4100093438 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2236.205109245 -0.764722033 1.407436251 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-75.779175777 0.5397811797 1.3961892084 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2386.026637041 -0.134418934 1.4164573207 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-64.929979418 -0.296245985 1.3949240747 5.6 0.0000 -4E+26 0.0000 -5.23E+2421.795615697 0.5967598452 1.4099497677 5.7 0.0000 1.1E+27 0.0000 1.44E+2526.710852134 -0.666952511 1.4064401344 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-62.938723489 0.4946585252 1.3978254351 5.9 0.0000 8.3E+27 0.0000 1.08E+2674.620516705 -0.155124007 1.4148021611 6 0.0000 -2.28E+28 0.0000 -3E+26

-58.957136767 -0.220816878 1.3960051168 6.1 0.0000 6.25E+28 0.0000 8.16E+2623.087057015 0.4966592477 1.4097972353 6.2 0.0000 -1.72E+29 0.0000 -2.24E+2719.025142504 -0.579368614 1.405661767 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-51.966865214 0.4502134998 1.3992040113 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2864.471339562 -0.167290522 1.4133501602 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-53.214389838 -0.159570826 1.3970070928 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2923.557139877 0.4109963565 1.4095783693 6.7 0.0000 2.68E+31 0.0000 3.49E+2912.859405258 -0.501298959 1.4050632392 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29-42.63070883 0.4072329815 1.4003599403 6.9 0.0000 2.02E+32 0.0000 2.63E+3055.482064637 -0.172800256 1.4120815766 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-47.767624313 -0.110265703 1.3979282786 7.1 0.0000 1.52E+33 0.0000 1.99E+3123.401958427 0.3379908655 1.4093145367 7.2 0.0000 -4.18E+33 0.0000 -5.45E+317.9647883699 -0.43203586 1.404612287 7.3 0.0000 1.15E+34 0.0000 1.5E+32

-34.720613184 0.3662747546 1.4013242317 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3247.555039271 -0.173205872 1.4109776758 7.5 0.0000 8.65E+34 0.0000 1.13E+33

Page 247: Hojas de Calculo Fransua

-42.659810947 -0.070965194 1.3987691226 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3322.781837447 0.2760369008 1.4090227079 7.7 0.0000 6.52E+35 0.0000 8.5E+334.1275481102 -0.37085968 1.404281569 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34-28.04886462 0.3277130173 1.4021242358 7.9 0.0000 4.91E+36 0.0000 6.41E+3440.594255394 -0.169780111 1.4100208812 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-37.915833491 -0.040003701 1.3995316906 8.1 0.0000 3.7E+37 0.0000 4.83E+3521.826860693 0.2236938048 1.4087161958 8.2 0.0000 -1E+38 0.0000 -1.33E+361.1648369232 -0.31705733 1.4040480195 8.3 0.0000 2.79E+38 0.0000 3.64E+36

-22.448213627 0.2917764168 1.4027839739 8.4 0.0000 -7.66E+38 0.0000 -1E+3734.507003906 -0.163558672 1.4091948611 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-33.546493943 -0.015954247 1.4002192152 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3720.641662413 0.1796756766 1.4084052867 8.7 0.0000 1.59E+40 0.0000 2.07E+38

-1.0791164418 -0.269935977 1.4038922717 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-17.770338247 0.2585796688 1.4033244563 8.9 0.0000 1.2E+41 0.0000 1.56E+3929.205042666 -0.15537742 1.4084845687 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-29.551815415 0.0024007117 1.4008357333 9.1 0.0000 9.01E+41 0.0000 1.18E+4019.309563849 0.1428402062 1.4080977792 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40

-2.7364507718 -0.228832878 1.4037981456 9.3 0.0000 6.79E+42 0.0000 8.86E+40-13.884285721 0.2281496923 1.4037639864 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4124.605375048 -0.145904562 1.4078762429 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-25.923747864 0.0160956493 1.4013857972 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4217.896130131 0.1121772202 1.4077994407 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-3.9187604602 -0.193122096 1.4037521969 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-10.674931378 0.2004470723 1.4041184457 9.9 0.0000 2.91E+45 0.0000 3.8E+4320.630720086 -0.135668352 1.4073573818 10 0.0000 -8E+45 0.0000 -1E+44

-22.648368331 0.0260056593 1.4018742471 10.1 0.0000 2.19E+46 0.0000 2.86E+4416.452216478 0.0867972583 1.407514393 10.2 0.0000 -6E+46 0.0000 -7.85E+44-4.719850634 -0.162218735 1.4037433192 10.3 0.0000 1.65E+47 0.0000 2.16E+45

-8.0414836336 0.1753835631 1.4044015605 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4517.209741498 -0.125080852 1.4069166961 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-19.707655234 0.0328676266 1.4023060349 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4615.016566339 0.0659204181 1.4072454371 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-5.2181836047 -0.135581235 1.4037623962 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-5.8960557065 0.1528362484 1.4046251469 10.9 0.0000 7.08E+49 0.0000 9.23E+4714.277091219 -0.114458234 1.4065440477 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-17.080905444 0.0372990599 1.402686089 11.1 0.0000 5.33E+50 0.0000 6.96E+4813.61801802 0.0488656422 1.4069943241 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-5.4790414631 -0.112712147 1.4038019988 11.3 0.0000 4.02E+51 0.0000 5.25E+49-4.1623180622 0.1326588922 1.4047993361 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5011.773313054 -0.104038045 1.4062303785 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-14.745853322 0.0398147672 1.4030192146 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.277370583 0.035040566 1.4067619812 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-5.5564295203 -0.093157772 1.4038561209 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-2.7742403242 0.1146909428 1.4049327795 11.9 0.0000 1.72E+54 0.0000 2.25E+529.6446436591 -0.093993834 1.4059676349 12 0.0000 -4.73E+54 0.0000 -6.17E+52-12.67954245 0.0408415551 1.4033100209 12.1 0.0000 1.3E+55 0.0000 1.69E+5311.008954383 0.0239320051 1.4065486989 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53-5.494744672 -0.076506948 1.4039199518 12.3 0.0000 9.78E+55 0.0000 1.28E+54

Page 248: Hojas de Calculo Fransua

-1.6749272873 0.0987645839 1.4050328336 12.4 0.0000 -2.69E+56 0.0000 -3.51E+547.8427409068 -0.084447482 1.4057486886 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-10.858993364 0.0407311333 1.4035628712 12.6 0.0000 -2E+57 0.0000 -2.64E+559.8219465814 0.0150971256 1.4063542842 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-5.3302317848 -0.062389221 1.4039896794 12.8 0.0000 -1.53E+58 0.0000 -2E+56-0.8155504662 0.0847101718 1.4051057269 12.9 0.0000 4.19E+58 0.0000 5.47E+56

6.324363719 -0.075479548 1.4055672581 13 0.0000 -1.15E+59 0.0000 -1.5E+57-9.2617041489 0.0397713954 1.4037818505 13.1 0.0000 3.16E+59 0.0000 4.12E+578.7214673358 0.008155317 1.4061781861 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-5.0922499636 -0.050472602 1.4040623219 13.3 0.0000 2.38E+60 0.0000 3.11E+58-0.1543742018 0.0723603475 1.4051567091 13.4 0.0000 -6.54E+60 0.0000 -8.53E+585.0510224458 -0.067137911 1.4054178309 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-7.8660150586 0.0381962423 1.4039707475 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.7094881323 0.0027807652 1.4060195979 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-4.8043691686 -0.040461058 1.4041355832 13.8 0.0000 -3.71E+62 0.0000 -4.85E+600.3441264456 0.0615530664 1.4051901836 13.9 0.0000 1.02E+63 0.0000 1.33E+613.9886147121 -0.059444945 1.4052955897 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-6.6513634627 0.0361941014 1.4041330475 14.1 0.0000 7.69E+63 0.0000 1E+626.7855798626 -0.00130429 1.4058775381 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-4.4853161613 -0.032091861 1.4042077306 14.3 0.0000 5.79E+64 0.0000 7.56E+620.7100600668 0.0521337533 1.4052098252 14.4 0.0000 -1.59E+65 0.0000 -2.08E+633.1070582236 -0.052403437 1.405196341 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-5.5984511596 0.0339152863 1.4042719334 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.9475247743 -0.004335637 1.4057509159 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-4.1497872408 -0.025132879 1.4042774901 14.8 0.0000 -9E+66 0.0000 -1.18E+650.9688304603 0.0439567554 1.405218684 14.9 0.0000 2.48E+67 0.0000 3.24E+65

2.3799292 -0.046001449 1.4051164493 15 0.0000 -6.81E+67 0.0000 -8.89E+65-4.6893424564 0.0314783291 1.4043902933 15.1 0.0000 1.87E+68 0.0000 2.44E+66

5.191813294 -0.006512555 1.405638582 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66-3.8091437136 -0.019379898 1.4043439593 15.3 0.0000 1.41E+69 0.0000 1.84E+671.1417708468 0.0368862386 1.4052192763 15.4 0.0000 -3.87E+69 0.0000 -5.05E+671.7841128105 -0.040216268 1.4050527748 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-3.9075082867 0.0289754077 1.4044907318 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.5140439312 -0.00800269 1.4055393677 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.4720045647 -0.014654006 1.4044065329 15.8 0.0000 -2.2E+71 0.0000 -2.87E+691.246706502 0.0307966471 1.405213665 15.9 0.0000 6.04E+71 0.0000 7.88E+69

1.2994701224 -0.035017603 1.4050026172 16 0.0000 -1.66E+72 0.0000 -2.16E+70-3.237828963 0.0264769775 1.4045755859 16.1 0.0000 4.55E+72 0.0000 5.94E+703.9092419835 -0.008946384 1.4054521156 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.1447493773 -0.010799094 1.4044648417 16.3 0.0000 3.43E+73 0.0000 4.48E+711.2984516651 0.0255728262 1.4052035283 16.4 0.0000 -9.42E+73 0.0000 -1.23E+72

0.908524591 -0.030370139 1.4049636626 16.5 0.0000 2.59E+74 0.0000 3.37E+72-2.6665658917 0.024035708 1.4046469411 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.3721105692 -0.00946051 1.405375701 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.8319432049 -0.007679494 1.4045187008 16.8 0.0000 -5.35E+75 0.0000 -7E+731.3092465256 0.0211098908 1.4051902207 16.9 0.0000 1.47E+76 0.0000 1.92E+740.5961699331 -0.026235559 1.4049339373 17 0.0000 -4E+76 0.0000 -5.26E+74

-2.1813106501 0.0216898146 1.4047066501 17.1 0.0000 1.11E+77 0.0000 1.44E+75

Page 249: Hojas de Calculo Fransua

2.8972255701 -0.009641848 1.4053090484 17.2 0.0000 -3E+77 0.0000 -4E+75-2.5366938439 -0.005177764 1.4045680678 17.3 0.0000 8.35E+77 0.0000 1.09E+761.2891399213 0.0173129053 1.4051748249 17.4 0.0000 -2.29E+78 0.0000 -3E+760.3494003068 -0.022574121 1.4049117641 17.5 0.0000 6.29E+78 0.0000 8.21E+76

-1.7709182079 0.0194658641 1.4047563512 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.4791843711 -0.009570046 1.4052511421 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2609507845 -0.003192648 1.4046130075 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.2463231398 0.0140964298 1.4051581966 17.9 0.0000 3.57E+80 0.0000 4.66E+780.1570630068 -0.019345875 1.4048957243 18 0.0000 -9.81E+80 0.0000 -1.28E+79

-1.4254297097 0.0173811277 1.4047974869 18.1 0.0000 2.69E+81 0.0000 3.52E+792.1127167925 -0.009310205 1.4052010331 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-2.0057540463 -0.001637183 1.4046536637 18.3 0.0000 2.03E+82 0.0000 2.65E+801.1874199096 0.0113839756 1.4051410033 18.4 0.0000 -5.58E+82 0.0000 -7.28E+800.0096333472 -0.016511572 1.4048846234 18.5 0.0000 1.53E+83 0.0000 2E+81-1.135989104 0.0154455426 1.404831322 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.7927653197 -0.00891513 1.4051578426 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.7714401223 -0.000436992 1.4046902364 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.1177373387 0.0091074053 1.4051237571 18.9 0.0000 8.7E+84 0.0000 1.13E+83

-0.1009889916 -0.014033336 1.4048774605 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.894756957 0.0136633398 1.4048589607 19.1 0.0000 6.56E+85 0.0000 8.55E+831.5145406102 -0.008427282 1.4051207636 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84-1.557811366 0.0004712794 1.4047229635 19.3 0.0000 4.94E+86 0.0000 6.45E+841.0414821992 0.0072063027 1.4051068426 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.1816631548 -0.011875132 1.4048734011 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.6948240155 0.012034385 1.4048813638 19.6 0.0000 -1E+88 0.0000 -1.33E+861.2735572908 -0.007880456 1.4050890602 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.3642743519 0.0011413662 1.4047521057 19.8 0.0000 -7.71E+88 0.0000 -1E+870.9619466043 0.0056273356 1.4050905408 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.2381710377 -0.010003082 1.4048717535 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo2.4600134092 -1.461165596 2.46001340927.6910555203 7.933522177 7.933522177183.85636775 234.04785565 234.04785565

62.8318530720.0159154943633.50495934

NO ESTABLE

Δůi

Page 250: Hojas de Calculo Fransua

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

101.66880059 1.6 1.5 0 0.0000 0 5.0000 5-345.79281115 7.6910555203 1.964552776 0.1 5.0000 250.0566 3.6603 8.256614

417.9042234 1.5759105126 2.4279010777 0.2 8.6603 -837.3589 1.3397 -9.057642-349.1681773 -0.933663882 2.4600134092 0.3 10.0000 2233.47 -1.3397 27.9842172.08189499 -0.006435972 2.4130084164 0.4 8.6603 -6244.01 -3.6603 -85.5545191.223157564 -7.933522177 2.016010509 0.5 5.0000 17064.35 -5.0000 216.8326

-83.3168764 -2.695355754 1.4845666124 0.6 0.0000 -46890.61 0.0000 -612.9178-130.44324713 2.9381247275 1.4967050611 0.7 0.0000 129001.2 0.0000 1683.659285.53953844 -2.116400968 1.5377912491 0.8 0.0000 -354259 0.0000 -4622.764-329.7958599 0.5838879028 1.4611655959 0.9 0.0000 972642.8 0.0000 12691.83253.61057095 1.0713607004 1.543928026 1 0.0000 -2670386 0.0000 -34845.27

-90.998772653 -2.25043095 1.4849745135 1.1 0.0000 7331509 0.0000 95667.17-95.024025038 2.5583673147 1.5003713318 1.2 0.0000 -2E+07 0.0000 -262653236.60939666 -1.933974305 1.5315909823 1.3 0.0000 55262633 0.0000 721109.3

-285.61428016 0.652952656 1.4675398998 1.4 0.0000 -1.52E+08 0.0000 -1979795229.7128162 0.7896354423 1.5396693047 1.5 0.0000 4.17E+08 0.0000 5435497

-94.792574181 -1.868754969 1.4857133284 1.6 0.0000 -1.14E+09 0.0000-14923077-66.451311409 2.2188667205 1.503218916 1.7 0.0000 3.14E+09 0.0000 40971085194.86923806 -1.755705869 1.5263769585 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-246.37528237 0.6906178733 1.4731225587 1.9 0.0000 2.37E+10 0.0000 3.09E+08206.86873361 0.5616394005 1.5357354224 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-95.592764313 -1.54266651 1.4866840669 2.1 0.0000 1.78E+11 0.0000 2.33E+09-43.621411927 1.9168260436 1.5053920436 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09159.41265988 -1.584390214 1.522013835 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-211.68285646 0.7039559251 1.4779921206 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.30566875 0.3787922353 1.5321295286 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-94.133710622 -1.26523084 1.4878075983 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-25.58407709 1.6493439909 1.5070132559 2.7 0.0000 7.64E+13 0.0000 9.97E+11129.42552673 -1.421970564 1.5183819273 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-181.14251887 0.6987873641 1.4822227673 2.9 0.0000 5.76E+14 0.0000 7.51E+12165.16630481 0.2336956849 1.5288469197 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-91.014052039 -1.030206698 1.4890213691 3.1 0.0000 4.34E+15 0.0000 5.66E+13-11.524438412 1.4135035583 1.5081862121 3.2 0.0000 -1.19E+16 0.0000 -1.56E+14104.18033561 -1.269710708 1.5153758546 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-154.36942345 0.6798698849 1.4858838134 3.4 0.0000 -9E+16 0.0000 -1.17E+15146.52684617 0.1199960867 1.525877112 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-86.717885723 -0.832006575 1.4902765876 3.6 0.0000 -6.77E+17 0.0000 -8.84E+15-0.7465647726 1.2064387854 1.5089981981 3.7 0.0000 1.86E+18 0.0000 2.43E+1683.030130207 -1.128338379 1.5129032184 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-130.99422849 0.6510627288 1.4890394359 3.9 0.0000 1.4E+19 0.0000 1.83E+17129.41206827 0.0322589222 1.5232055185 4 0.0000 -3.85E+19 0.0000 -5E+17

-81.633100965 -0.665652896 1.4915358198 4.1 0.0000 1.06E+20 0.0000 1.38E+187.3414137817 1.0253836514 1.5095223576 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1865.402208803 -0.998164161 1.5108833321 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-110.66715691 0.6154691565 1.4917485819 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19113.80769615 -0.034144931 1.5208147932 4.5 0.0000 6E+21 0.0000 7.83E+19

L3794
el tiempo lo vamos a variar
M3794
ESTE ES EL DATO QUE VA A VARIAR
O3794
este dato no es igual al de la segunda columna?
I3795
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N3795
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 251: Hojas de Calculo Fransua

-76.067181636 -0.526732057 1.4927709437 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2013.240687996 0.8677065422 1.509819668 4.7 0.0000 4.52E+22 0.0000 5.9E+20

50.79181305 -0.87917954 1.5092460181 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21-93.060615717 0.5755594297 1.4940650125 4.9 0.0000 3.41E+23 0.0000 4.45E+21

99.67051618 -0.083141734 1.5186858973 5 0.0000 -9.36E+23 0.0000 -1.22E+22-70.26077248 -0.411347874 1.4939614169 5.1 0.0000 2.57E+24 0.0000 3.35E+2217.373744138 0.7309331707 1.5099406818 5.2 0.0000 -7.06E+24 0.0000 -9.21E+22

38.75593826 -0.771137202 1.5079304802 5.3 0.0000 1.94E+25 0.0000 2.53E+23-77.870680224 0.5332765457 1.4960374474 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2386.936572076 -0.118046805 1.5167989345 5.5 0.0000 1.46E+26 0.0000 1.91E+24-64.39927857 -0.316075563 1.495092816 5.6 0.0000 -4E+26 0.0000 -5.23E+2420.095026964 0.6127603541 1.5099270556 5.7 0.0000 1.1E+27 0.0000 1.44E+2528.907368054 -0.673616309 1.5068842579 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-64.817695909 0.4901267787 1.4977097813 5.9 0.0000 8.3E+27 0.0000 1.08E+2675.527749824 -0.141646526 1.515133794 6 0.0000 -2.28E+28 0.0000 -3E+26

-58.622741954 -0.237917136 1.4961556109 6.1 0.0000 6.25E+28 0.0000 8.16E+2621.700390658 0.5110626487 1.5098128865 6.2 0.0000 -1.72E+29 0.0000 -2.24E+2720.909005448 -0.586075132 1.5060622624 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-53.646206626 0.4472568929 1.4991213504 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2865.357014215 -0.156271141 1.513670638 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-53.034215383 -0.174258796 1.4971441411 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2922.435438555 0.4238934911 1.5096258759 6.7 0.0000 2.68E+31 0.0000 3.49E+2914.468548024 -0.507893063 1.5054258973 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29

-44.124379765 0.4055197112 1.5003072297 6.9 0.0000 2.02E+32 0.0000 2.63E+3056.33252274 -0.163859101 1.5123902602 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-47.706830133 -0.122830765 1.4980557668 7.1 0.0000 1.52E+33 0.0000 1.99E+3122.502851042 0.3494822014 1.5093883386 7.2 0.0000 -4.18E+33 0.0000 -5.45E+319.3335354629 -0.438403787 1.5049422594 7.3 0.0000 1.15E+34 0.0000 1.5E+32

-36.043067078 0.3655295507 1.5012985476 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3248.360810134 -0.166013693 1.5112743405 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.689733617 -0.081669783 1.4988901667 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3322.068797912 0.2862279518 1.5091180751 7.7 0.0000 6.52E+35 0.0000 8.5E+335.2867825759 -0.376921098 1.5045834178 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34

-29.214612837 0.3277088761 1.5021228067 7.9 0.0000 4.91E+36 0.0000 6.41E+3441.34920833 -0.164052663 1.5103056173 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-38.01305268 -0.049084427 1.4996487629 8.1 0.0000 3.7E+37 0.0000 4.83E+3521.268526934 0.2326915919 1.5088291211 8.2 0.0000 -1E+38 0.0000 -1.33E+36

2.142199399 -0.322758677 1.5043257669 8.3 0.0000 2.79E+38 0.0000 3.64E+36-23.471498454 0.292327371 1.5028042016 8.4 0.0000 -7.66E+38 0.0000 -1E+3735.207641676 -0.159051534 1.5094679935 8.5 0.0000 2.1E+39 0.0000 2.75E+37-33.69202034 -0.023623278 1.5003342529 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3720.211215156 0.1875860452 1.5085323912 8.7 0.0000 1.59E+40 0.0000 2.07E+38

-0.2590088338 -0.275244891 1.5041494489 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-18.664893782 0.2595344888 1.5033639288 8.9 0.0000 1.2E+41 0.0000 1.56E+3929.849915607 -0.151881262 1.5087465902 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-29.730387132 -0.004045922 1.500950231 9.1 0.0000 9.01E+41 0.0000 1.18E+4018.984163555 0.1497658421 1.508236227 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40

-2.0517753852 -0.233733573 1.5040378404 9.3 0.0000 6.79E+42 0.0000 8.86E+40

Page 252: Hojas de Calculo Fransua

-14.663169732 0.229386421 1.5038204829 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4125.194598212 -0.143240841 1.5081277618 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-26.123223226 0.0107033207 1.5015008858 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4217.656409606 0.1182162319 1.5079468635 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-3.3502574175 -0.197611538 1.5039770982 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-11.35041394 0.2018683019 1.5041899364 9.9 0.0000 2.91E+45 0.0000 3.8E+4321.165577913 -0.133685426 1.5075990801 10 0.0000 -8E+45 0.0000 -1E+44

-22.859203934 0.0215190442 1.501990761 10.1 0.0000 2.19E+46 0.0000 2.86E+4416.281826104 0.0920422136 1.5076688239 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-4.2505941105 -0.166303508 1.5039557592 10.3 0.0000 1.65E+47 0.0000 2.16E+45-8.6249806924 0.1769123691 1.5044862022 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4517.692366563 -0.123650493 1.507149296 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-19.922459095 0.0291559376 1.5024245682 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4614.901768504 0.070457742 1.5074052522 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-4.8333602786 -0.139274983 1.5039643901 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-6.3980977075 0.154412703 1.5047212761 10.9 0.0000 7.08E+49 0.0000 9.23E+4714.710205376 -0.11347251 1.5067682858 11 0.0000 -1.94E+50 0.0000 -2.54E+48-17.29405602 0.0342476601 1.5028070433 11.1 0.0000 5.33E+50 0.0000 6.96E+4813.547327136 0.0527752982 1.5071581912 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-5.1657391016 -0.116033508 1.5039952807 11.3 0.0000 4.02E+51 0.0000 5.25E+49-4.5925455247 0.1342370875 1.5049054597 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5012.160020877 -0.103406548 1.5064469866 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-14.953176055 0.0373235836 1.5031428384 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.241234986 0.0383959566 1.5069288154 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-5.30343771 -0.096128724 1.504042177 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-3.1414196895 0.1162364595 1.5050475638 11.9 0.0000 1.72E+54 0.0000 2.25E+529.9882695055 -0.093641227 1.5061773254 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-12.878036361 0.038823577 1.5034364429 12.1 0.0000 1.3E+55 0.0000 1.69E+5310.999476462 0.0268000384 1.5067176237 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-5.2923689352 -0.079151495 1.5041000509 12.3 0.0000 9.78E+55 0.0000 1.28E+54-1.9869816081 0.1002523477 1.5051550935 12.4 0.0000 -2.69E+56 0.0000 -3.51E+548.1467021554 -0.084311337 1.505952144 12.5 0.0000 7.38E+56 0.0000 9.62E+54-11.04660103 0.0391110063 1.5036921275 12.6 0.0000 -2E+57 0.0000 -2.64E+559.8326375503 0.0175384055 1.5065245981 12.7 0.0000 5.56E+57 0.0000 7.25E+55-5.170121723 -0.064732369 1.5041648999 12.8 0.0000 -1.53E+58 0.0000 -2E+56

-1.0796005518 0.0861226475 1.5052344138 12.9 0.0000 4.19E+58 0.0000 5.47E+566.5920738314 -0.07550845 1.5057651237 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-9.4371191033 0.0384841173 1.5039139071 13.1 0.0000 3.16E+59 0.0000 4.12E+578.7470332459 0.0102244206 1.506349334 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-4.9672416078 -0.052539569 1.5042335766 13.3 0.0000 2.38E+60 0.0000 3.11E+58-0.3767867064 0.0736860235 1.5052908993 13.4 0.0000 -6.54E+60 0.0000 -8.53E+585.2858184497 -0.0672898 1.5056107105 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-8.0285213851 0.0371859639 1.5041055187 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.7456438784 0.004526581 1.506191146 13.7 0.0000 1.35E+62 0.0000 1.77E+60-4.708341363 -0.042276677 1.5043036411 13.8 0.0000 -3.71E+62 0.0000 -4.85E+600.1576867683 0.0627851902 1.5053290668 13.9 0.0000 1.02E+63 0.0000 1.33E+61

4.193704537 -0.059685672 1.5054840427 14 0.0000 -2.8E+63 0.0000 -3.65E+61-6.8007029419 0.035413031 1.5042704106 14.1 0.0000 7.69E+63 0.0000 1E+62

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6.8288881641 0.0001618137 1.5060491529 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62-4.4130605505 -0.033680142 1.5043732364 14.3 0.0000 5.79E+64 0.0000 7.56E+620.5545761152 0.0532692822 1.5053526934 14.4 0.0000 -1.59E+65 0.0000 -2.08E+633.2854840386 -0.052705515 1.5053808818 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-5.7347139162 0.0333226955 1.5044117408 14.6 0.0000 -1.2E+66 0.0000 -1.56E+645.9952573272 -0.003110588 1.5059223462 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-4.0968912439 -0.026516701 1.5044409817 14.8 0.0000 -9E+66 0.0000 -1.18E+650.8398782112 0.0449954905 1.5053649212 14.9 0.0000 2.48E+67 0.0000 3.24E+652.5345435258 -0.04634297 1.5052975473 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-4.8128775613 0.0310396568 1.5045323816 15.1 0.0000 1.87E+68 0.0000 2.44E+665.2418315173 -0.005494418 1.5058096435 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-3.7718857449 -0.020580796 1.5045058828 15.3 0.0000 1.41E+69 0.0000 1.84E+671.0354657127 0.0378301153 1.5053683488 15.4 0.0000 -3.87E+69 0.0000 -5.05E+67

1.917564712 -0.040579975 1.5052308558 15.5 0.0000 1.06E+70 0.0000 1.39E+68-4.0188512274 0.0286614556 1.5046349298 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.5646969552 -0.007161439 1.5057099306 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.4472606823 -0.015692048 1.5045672563 15.8 0.0000 -2.2E+71 0.0000 -2.87E+691.1596515408 0.0316491572 1.5053651117 15.9 0.0000 6.04E+71 0.0000 7.88E+691.4141992493 -0.035390095 1.5051780649 16 0.0000 -1.66E+72 0.0000 -2.16E+70

-3.3376433104 0.0262631927 1.5047217197 16.1 0.0000 4.55E+72 0.0000 5.94E+703.9592797491 -0.008255723 1.5056220932 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.1299105001 -0.011692817 1.5046246663 16.3 0.0000 3.43E+73 0.0000 4.48E+711.2276882929 0.0263385523 1.505356953 16.4 0.0000 -9.42E+73 0.0000 -1.23E+721.0067612234 -0.030741189 1.5051368212 16.5 0.0000 2.59E+74 0.0000 3.37E+72-2.755596854 0.023901545 1.504794839 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.420610114 -0.008897502 1.5055450411 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.8248420278 -0.008445886 1.5046778717 16.8 0.0000 -5.35E+75 0.0000 -7E+731.2522081648 0.0217941336 1.5053452841 16.9 0.0000 1.47E+76 0.0000 1.92E+740.6799395239 -0.026597539 1.5051051138 17 0.0000 -4E+76 0.0000 -5.26E+74

-2.2603485306 0.0216181719 1.5048561454 17.1 0.0000 1.11E+77 0.0000 1.44E+752.9435287789 -0.009186567 1.5054777256 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5355405898 -0.005832294 1.5047267826 17.3 0.0000 8.35E+77 0.0000 1.09E+761.2436088451 0.0179213892 1.5053312374 17.4 0.0000 -2.29E+78 0.0000 -3E+760.4205312946 -0.022921515 1.5050812311 17.5 0.0000 6.29E+78 0.0000 8.21E+76

-1.8407700656 0.0194425875 1.5049072847 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.5228456523 -0.009205248 1.5054191516 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2642769574 -0.003749305 1.5047714239 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.2103906402 0.0146350732 1.5053157124 17.9 0.0000 3.57E+80 0.0000 4.66E+780.2171969088 -0.019674865 1.5050637228 18 0.0000 -9.81E+80 0.0000 -1.28E+79-1.486897775 0.0173945752 1.5049497083 18.1 0.0000 2.69E+81 0.0000 3.52E+792.1534593149 -0.009021028 1.5053683857 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-2.0123633885 -0.002108555 1.5048119065 18.3 0.0000 2.03E+82 0.0000 2.65E+801.1594498123 0.0118587149 1.5052994145 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80

0.060236343 -0.016819694 1.5050513655 18.5 0.0000 1.53E+83 0.0000 2E+81-1.1898547166 0.0154862046 1.5049846911 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.8304446033 -0.008688815 1.5053245605 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.7803660228 -0.000834341 1.5048484027 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.0963328092 0.0095240624 1.5052828888 18.9 0.0000 8.7E+84 0.0000 1.13E+83

Page 254: Hojas de Calculo Fransua

-0.0586136085 -0.014319195 1.5050431322 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.941768987 0.0137235079 1.5050133478 19.1 0.0000 6.56E+85 0.0000 8.55E+831.5491144081 -0.008252919 1.5052868772 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.5682800168 0.000137925 1.5048811275 19.3 0.0000 4.94E+86 0.0000 6.45E+841.02545573 0.0075704886 1.5052665482 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.1463621448 -0.012138162 1.5050381645 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.7356908904 0.0121078664 1.5050366498 19.6 0.0000 -1E+88 0.0000 -1.33E+861.3050608313 -0.007748757 1.5052546052 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.3756730037 0.000863117 1.5049103232 19.8 0.0000 -7.71E+88 0.0000 -1E+870.9502930292 0.0059443822 1.5052506982 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.2089283736 -0.010243351 1.5050357497 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo2.5615325243 -1.560592308 2.56153252437.6146138525 7.8468744924 7.8468744924178.30829264 228.4464664 228.4464664

62.8318530720.0159154943633.91807096

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

98.1271879 1.7 1.6 0 0.0000 0 5.0000 5-336.65619888 7.6146138525 2.0657306926 0.1 5.0000 250.0566 3.6603 8.256614406.75475904 1.6027771562 2.5266002431 0.2 8.6603 -837.3589 1.3397 -9.057642

-340.10667799 -0.904131532 2.5615325243 0.3 10.0000 2233.47 -1.3397 27.9842168.23200418 -0.078636167 2.5123941393 0.4 8.6603 -6244.01 -3.6603 -85.5545188.777277742 -7.846874492 2.1161186064 0.5 5.0000 17064.35 -5.0000 216.8326

-75.803727287 -2.764648721 1.5855424457 0.6 0.0000 -46890.61 0.0000 -612.9178-140.05181664 2.9662545725 1.5956227382 0.7 0.0000 129001.2 0.0000 1683.659293.68919095 -2.09561933 1.6391545003 0.8 0.0000 -354259 0.0000 -4622.764

-333.65374357 0.5243754826 1.560592308 0.9 0.0000 972642.8 0.0000 12691.83252.03798711 1.1461426646 1.6441182153 1 0.0000 -2670386 0.0000 -34845.27

-84.863264558 -2.312877977 1.5857814497 1.1 0.0000 7331509 0.0000 95667.17-103.27167221 2.5868375095 1.5994794263 1.2 0.0000 -2E+07 0.0000 -262653243.90065555 -1.920193843 1.6328116097 1.3 0.0000 55262633 0.0000 721109.3

-289.39508042 0.6042239723 1.5670131162 1.4 0.0000 -1.52E+08 0.0000 -1979795228.8281339 0.8539205434 1.639920342 1.5 0.0000 4.17E+08 0.0000 5435497

Δůi

L4016
el tiempo lo vamos a variar
M4016
ESTE ES EL DATO QUE VA A VARIAR
O4016
este dato no es igual al de la segunda columna?
I4017
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N4017
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 255: Hojas de Calculo Fransua

-89.820938909 -1.924730212 1.5863798585 1.6 0.0000 -1.14E+09 0.0000-14923077-73.502127482 2.2469787825 1.6024922871 1.7 0.0000 3.14E+09 0.0000 40971085201.36061944 -1.747465543 1.6274679491 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-250.01694261 0.6510147296 1.5726454084 1.9 0.0000 2.37E+10 0.0000 3.09E+08206.51829267 0.6166788434 1.6360300871 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-91.599842863 -1.59258954 1.5872345523 2.1 0.0000 1.78E+11 0.0000 2.33E+09-49.624060876 1.9440645679 1.6048083037 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09165.16521167 -1.580476512 1.6229877065 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-215.14189646 0.6720399487 1.5775658783 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.36288454 0.4257221698 1.6324539843 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-90.959757278 -1.309546205 1.5882627825 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-30.672467806 1.6753417831 1.6065525614 2.7 0.0000 7.64E+13 0.0000 9.97E+11134.50087853 -1.421381483 1.6192505764 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-184.39030712 0.6733157873 1.5818472916 2.9 0.0000 5.76E+14 0.0000 7.51E+12165.5275961 0.2735416279 1.6291901624 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-88.521793639 -1.069368082 1.5893988397 3.1 0.0000 4.34E+15 0.0000 5.66E+13-15.818545836 1.4380123304 1.6078310521 3.2 0.0000 -1.19E+16 0.0000 -1.56E+14108.63922556 -1.271624231 1.6161504571 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-157.38906563 0.6597731949 1.5855579053 3.4 0.0000 -9E+16 0.0000 -1.17E+15147.10809012 0.153678617 1.6262304959 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-84.789835357 -0.866464736 1.5905911899 3.6 0.0000 -6.77E+17 0.0000 -8.84E+15-4.3533449069 1.2293046488 1.6087331855 3.7 0.0000 1.86E+18 0.0000 2.43E+1686.931321017 -1.132084979 1.613594169 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-133.77798443 0.6354241979 1.5887611299 3.9 0.0000 1.4E+19 0.0000 1.83E+17130.14552639 0.0606002045 1.62356235 4 0.0000 -3.85E+19 0.0000 -5E+17

-80.169120075 -0.695846691 1.5918000257 4.1 0.0000 1.06E+20 0.0000 1.38E+184.3270582665 1.0465267293 1.6093340276 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1868.801718401 -1.003202941 1.6115002171 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-113.21430894 0.6035062225 1.5915153811 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19114.63935934 -0.010414141 1.6211699852 4.5 0.0000 6E+21 0.0000 7.83E+19

-74.982280636 -0.553081984 1.592995179 4.6 0.0000 -1.65E+22 0.0000 -2.15E+2010.734925048 0.8871041083 1.6096962852 4.7 0.0000 4.52E+22 0.0000 5.9E+2053.742397499 -0.885077579 1.6097976116 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-95.375720997 0.5666068616 1.5938740758 4.9 0.0000 3.41E+23 0.0000 4.45E+21100.55782067 -0.063374873 1.6190356752 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-69.483137379 -0.434251624 1.5941543504 5.1 0.0000 2.57E+24 0.0000 3.35E+2215.30283796 0.7486057893 1.6098720586 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2241.30677475 -0.777551768 1.6084247597 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-79.96214829 0.5267713097 1.5958857367 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2387.84644235 -0.101674289 1.6171405878 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-63.868509338 -0.335905185 1.595261614 5.6 0.0000 -4E+26 0.0000 -5.23E+2418.394390884 0.628760569 1.6099043832 5.7 0.0000 1.1E+27 0.0000 1.44E+2531.103894531 -0.680279599 1.6073284317 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-66.696640386 0.4855945034 1.5975941769 5.9 0.0000 8.3E+27 0.0000 1.08E+2676.434928659 -0.128168687 1.6154654677 6 0.0000 -2.28E+28 0.0000 -3E+26

-58.288287412 -0.255017463 1.5963061602 6.1 0.0000 6.25E+28 0.0000 8.16E+2620.313680794 0.5254658224 1.6098285782 6.2 0.0000 -1.72E+29 0.0000 -2.24E+2722.792881026 -0.592781223 1.6064628082 6.3 0.0000 4.71E+29 0.0000 6.15E+27

Page 256: Hojas de Calculo Fransua

-55.325527015 0.4442998234 1.5990387382 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2866.242643599 -0.14525143 1.6139911579 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-52.853988964 -0.188946854 1.5972812436 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2921.313697536 0.4367904533 1.6096734236 6.7 0.0000 2.68E+31 0.0000 3.49E+29

16.07770471 -0.514486811 1.6057886057 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29-45.618035315 0.4038060378 1.6002545671 6.9 0.0000 2.02E+32 0.0000 2.63E+30

57.1829433 -0.154917644 1.6126989868 7 0.0000 -5.54E+32 0.0000 -7.23E+30-47.645990925 -0.135395927 1.5981833083 7.1 0.0000 1.52E+33 0.0000 1.99E+31

21.60370767 0.3609734097 1.6094621824 7.2 0.0000 -4.18E+33 0.0000 -5.45E+3110.702297139 -0.444771417 1.6052722821 7.3 0.0000 1.15E+34 0.0000 1.5E+32

-37.365510137 0.364783997 1.6012729111 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3249.166550049 -0.158821239 1.611571049 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.719617423 -0.092374479 1.599011263 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3321.355725943 0.2964189115 1.6092134846 7.7 0.0000 6.52E+35 0.0000 8.5E+336.4460318068 -0.382982272 1.6048853166 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34

-30.380353861 0.3277044326 1.6021214247 7.9 0.0000 4.91E+36 0.0000 6.41E+3442.104135924 -0.158324966 1.610590398 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-38.110238459 -0.058165261 1.5997658867 8.1 0.0000 3.7E+37 0.0000 4.83E+3520.710164101 0.2416893169 1.6089420895 8.2 0.0000 -1E+38 0.0000 -1.33E+363.1195764587 -0.328459823 1.6046035642 8.3 0.0000 2.79E+38 0.0000 3.64E+36

-24.494778973 0.2928780649 1.6028244763 8.4 0.0000 -7.66E+38 0.0000 -1E+3735.908258846 -0.154544173 1.6097411709 8.5 0.0000 2.1E+39 0.0000 2.75E+37-33.83751813 -0.031292417 1.6004493414 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3719.780741966 0.1954963748 1.6086595393 8.7 0.0000 1.59E+40 0.0000 2.07E+380.5611129082 -0.280553642 1.6044066759 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-19.55944726 0.2604890856 1.6034034481 8.9 0.0000 1.2E+41 0.0000 1.56E+3930.494771944 -0.148384905 1.6090086572 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-29.908934455 -0.010492661 1.6010647789 9.1 0.0000 9.01E+41 0.0000 1.18E+4018.65874024 0.1566914573 1.6083747187 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40

-1.3670865059 -0.238634135 1.6042775848 9.3 0.0000 6.79E+42 0.0000 8.86E+40-15.442053415 0.2306229591 1.603877026 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4125.783808124 -0.140576943 1.6083793268 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-26.322677875 0.0053108909 1.6016160242 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4217.416668737 0.1242552369 1.6080943306 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-2.7817416528 -0.202100874 1.6042020488 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-12.025897479 0.2032893695 1.6042614735 9.9 0.0000 2.91E+45 0.0000 3.8E+4321.700425282 -0.131702344 1.6078408248 10 0.0000 -8E+45 0.0000 -1E+44

-23.070022026 0.0170323332 1.6021073243 10.1 0.0000 2.19E+46 0.0000 2.86E+4416.111417827 0.0972871729 1.6078232996 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-3.7813257163 -0.170388197 1.6041682484 10.3 0.0000 1.65E+47 0.0000 2.16E+45-9.2084796831 0.1784410379 1.6045708904 10.4 0.0000 -4.54E+47 0.0000 -5.92E+45

18.17498349 -0.122219997 1.6073819424 10.5 0.0000 1.25E+48 0.0000 1.63E+46-20.137248223 0.0254441588 1.6025431505 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4614.786954982 0.0749950777 1.6075651124 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-4.4485259748 -0.142968665 1.604166433 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-6.9001423139 0.1559890419 1.6048174518 10.9 0.0000 7.08E+49 0.0000 9.23E+4715.143313305 -0.112486665 1.6069925706 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-17.507194259 0.031196177 1.6029280462 11.1 0.0000 5.33E+50 0.0000 6.96E+48

Page 257: Hojas de Calculo Fransua

13.47662256 0.0566849717 1.6073221037 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49-4.8524266678 -0.119354819 1.6041886113 11.3 0.0000 4.02E+51 0.0000 5.25E+49-5.0227760411 0.1358151858 1.6050116297 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5012.546724038 -0.102774945 1.6066636417 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-15.160488509 0.0348323234 1.6032665106 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.205087488 0.0417513686 1.6070956952 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-5.0504367222 -0.099099637 1.6042282818 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-3.5086023787 0.1177818951 1.6051623946 11.9 0.0000 1.72E+54 0.0000 2.25E+5210.331891962 -0.093288528 1.606387063 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-13.076521759 0.036805529 1.6035629131 12.1 0.0000 1.3E+55 0.0000 1.69E+5310.989988236 0.0296680957 1.6068865943 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-5.0899848887 -0.081796014 1.6042801984 12.3 0.0000 9.78E+55 0.0000 1.28E+54-2.2990393836 0.1017400442 1.6052774 12.4 0.0000 -2.69E+56 0.0000 -3.51E+548.4506610407 -0.084175111 1.6061556466 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-11.234201686 0.0374908157 1.6038214318 12.6 0.0000 -2E+57 0.0000 -2.64E+559.8433196322 0.0199797107 1.6066949581 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-5.0100041804 -0.067075497 1.6043401688 12.8 0.0000 -1.53E+58 0.0000 -2E+56-1.3436541154 0.0875350677 1.6053631473 12.9 0.0000 4.19E+58 0.0000 5.47E+566.8597824002 -0.075537282 1.6059630366 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-9.6125283262 0.037196782 1.6040460116 13.1 0.0000 3.16E+59 0.0000 4.12E+578.7725915223 0.0122935499 1.6065205282 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-4.8422265529 -0.054606522 1.6044048796 13.3 0.0000 2.38E+60 0.0000 3.11E+58-0.5992026318 0.0750116539 1.6054251361 13.4 0.0000 -6.54E+60 0.0000 -8.53E+585.5206135569 -0.067441629 1.6058036374 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-8.1910230607 0.0361756342 1.6042403376 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.7817930937 0.0062724222 1.6063627404 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-4.6123075881 -0.044092288 1.6044717472 13.8 0.0000 -3.71E+62 0.0000 -4.85E+60-0.0287562133 0.0640172769 1.6054679966 13.9 0.0000 1.02E+63 0.0000 1.33E+614.3987939691 -0.059926348 1.605672543 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-6.9500386794 0.0346319146 1.6044078214 14.1 0.0000 7.69E+63 0.0000 1E+626.8721909015 0.0016279418 1.6062208142 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-4.3407996455 -0.03526842 1.6045387903 14.3 0.0000 5.79E+64 0.0000 7.56E+620.3990890178 0.0544047812 1.6054956083 14.4 0.0000 -1.59E+65 0.0000 -2.08E+633.4639098466 -0.053007549 1.6055654699 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-5.8709736928 0.0327300638 1.6045515957 14.6 0.0000 -1.2E+66 0.0000 -1.56E+646.0429851598 -0.001885516 1.6060938231 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-4.0439905724 -0.027900522 1.6046045212 14.8 0.0000 -9E+66 0.0000 -1.18E+650.7109230028 0.0460342018 1.6055112052 14.9 0.0000 2.48E+67 0.0000 3.24E+652.6891581337 -0.046684453 1.6054786927 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-4.9364103206 0.0306009483 1.6046745174 15.1 0.0000 1.87E+68 0.0000 2.44E+665.2918457538 -0.004476259 1.6059807519 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-3.7346236664 -0.021781695 1.6046678541 15.3 0.0000 1.41E+69 0.0000 1.84E+670.9291578225 0.038773973 1.605517468 15.4 0.0000 -3.87E+69 0.0000 -5.05E+672.0510171061 -0.040943651 1.6054089841 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-4.1301923482 0.0283474718 1.6047791752 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.6153466277 -0.006320168 1.6058805404 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.4225132015 -0.016730093 1.6047280273 15.8 0.0000 -2.2E+71 0.0000 -2.87E+691.0725940351 0.0325016525 1.6055166053 15.9 0.0000 6.04E+71 0.0000 7.88E+69

Page 258: Hojas de Calculo Fransua

1.5289290158 -0.03576256 1.6053535599 16 0.0000 -1.66E+72 0.0000 -2.16E+70-3.4374562708 0.02604938 1.6048679009 16.1 0.0000 4.55E+72 0.0000 5.94E+70

4.009314711 -0.007565043 1.6057921178 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71-3.1150684849 -0.012586544 1.6047845385 16.3 0.0000 3.43E+73 0.0000 4.48E+711.1569225896 0.0271042671 1.6055104247 16.4 0.0000 -9.42E+73 0.0000 -1.23E+721.1049985917 -0.031112217 1.6053100272 16.5 0.0000 2.59E+74 0.0000 3.37E+72

-2.8446267834 0.0237673577 1.6049427842 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.4691073258 -0.008334477 1.6057144282 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.8177381252 -0.009212285 1.6048370902 16.8 0.0000 -5.35E+75 0.0000 -7E+731.1951676827 0.0224783679 1.6055003943 16.9 0.0000 1.47E+76 0.0000 1.92E+74

0.763709907 -0.026959502 1.6052763376 17 0.0000 -4E+76 0.0000 -5.26E+74-2.3393856656 0.021546508 1.6050056879 17.1 0.0000 1.11E+77 0.0000 1.44E+752.9898300576 -0.00873127 1.6056464498 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5343849777 -0.006486829 1.6048855449 17.3 0.0000 8.35E+77 0.0000 1.09E+761.1980758505 0.0185298668 1.6054876968 17.4 0.0000 -2.29E+78 0.0000 -3E+760.4916630998 -0.023268894 1.6052507454 17.5 0.0000 6.29E+78 0.0000 8.21E+76

-1.9106214092 0.0194192925 1.6050582653 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.5665053465 -0.008840436 1.6055872082 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2676010984 -0.004305968 1.6049298879 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.1744564156 0.0151737122 1.6054732751 17.9 0.0000 3.57E+80 0.0000 4.66E+780.2773316293 -0.020003842 1.6052317687 18 0.0000 -9.81E+80 0.0000 -1.28E+79

-1.5483655104 0.017408007 1.6051019769 18.1 0.0000 2.69E+81 0.0000 3.52E+792.1942005416 -0.008731839 1.6055357853 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-2.0189709868 -0.002579933 1.6049701968 18.3 0.0000 2.03E+82 0.0000 2.65E+801.1314781718 0.0123334513 1.6054578727 18.4 0.0000 -5.58E+82 0.0000 -7.28E+800.1108401406 -0.017127806 1.605218155 18.5 0.0000 1.53E+83 0.0000 2E+81

-1.2437201444 0.0155268529 1.6051381074 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.8681228371 -0.008462489 1.6054913256 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.7892904325 -0.001231696 1.6050066164 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.074926906 0.0099407178 1.6054420675 18.9 0.0000 8.7E+84 0.0000 1.13E+83

-0.0162374533 -0.014605045 1.6052088511 19 0.0000 -2.39E+85 0.0000 -3.12E+83-0.988780945 0.0137836644 1.6051677821 19.1 0.0000 6.56E+85 0.0000 8.55E+831.583687363 -0.008078546 1.605453038 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.5787473986 -0.000195435 1.605039339 19.3 0.0000 4.94E+86 0.0000 6.45E+841.0094280435 0.0079346736 1.6054263009 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.1110604017 -0.012401185 1.6052029753 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.7765577792 0.0121813379 1.6051919829 19.6 0.0000 -1E+88 0.0000 -1.33E+861.3365637021 -0.007617048 1.6054201974 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.38707058 0.0005848623 1.6050685881 19.8 0.0000 -7.71E+88 0.0000 -1E+870.9386383804 0.0062614287 1.6054109027 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.1796850213 -0.010483615 1.6051997934 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo

Page 259: Hojas de Calculo Fransua

2.6630516725 -1.660019095 2.66305167257.5381738408 7.7602266474 7.7602266474176.31632882 222.84501072 222.84501072

62.8318530720.0159154943634.34274018

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

94.585237913 1.8 1.7 0 0.0000 0 5.0000 5-327.51936808 7.5381738408 2.166908692 0.1 5.0000 250.0566 3.6603 8.256614395.60526642 1.629641173 2.6252994427 0.2 8.6603 -837.3589 1.3397 -9.057642

-331.04534009 -0.874596578 2.6630516725 0.3 10.0000 2233.47 -1.3397 27.9842164.38239608 -0.150838012 2.611779943 0.4 8.6603 -6244.01 -3.6603 -85.5545186.331101855 -7.760226647 2.21622671 0.5 5.0000 17064.35 -5.0000 216.8326

-68.290375389 -2.833940386 1.6865183583 0.6 0.0000 -46890.61 0.0000 -612.9178-149.66042837 2.9943821992 1.694540449 0.7 0.0000 129001.2 0.0000 1683.659301.83871903 -2.074835404 1.7405177888 0.8 0.0000 -354259 0.0000 -4622.764

-337.51139003 0.4648615258 1.6600190949 0.9 0.0000 972642.8 0.0000 12691.83250.46514446 1.2209249058 1.7443084164 1 0.0000 -2670386 0.0000 -34845.27

-78.727569829 -2.375323993 1.6865884621 1.1 0.0000 7331509 0.0000 95667.17-111.51937114 2.6153058396 1.6985875544 1.2 0.0000 -2E+07 0.0000 -262653251.19182038 -1.906411376 1.7340322776 1.3 0.0000 55262633 0.0000 721109.3

-293.17568265 0.5554938702 1.6664864023 1.4 0.0000 -1.52E+08 0.0000 -1979795227.94322625 0.9182060031 1.740171396 1.5 0.0000 4.17E+08 0.0000 5435497

-84.849133116 -1.980704684 1.6870464619 1.6 0.0000 -1.14E+09 0.0000-14923077-80.553001347 2.2750892848 1.7017656919 1.7 0.0000 3.14E+09 0.0000 40971085207.85193154 -1.739223469 1.7285589827 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-253.65843842 0.6114102865 1.6721683236 1.9 0.0000 2.37E+10 0.0000 3.09E+08206.16765631 0.6717186982 1.7363247728 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-87.606766631 -1.642511996 1.6877851079 2.1 0.0000 1.78E+11 0.0000 2.33E+09-55.626770892 1.9713017945 1.7042245979 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09170.91771425 -1.576561292 1.723961623 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-218.60080074 0.6401227901 1.677139698 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.41993152 0.4726525471 1.7327784648 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-87.785664273 -1.353861157 1.6887180343 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-35.760920725 1.7013385018 1.7060919016 2.7 0.0000 7.64E+13 0.0000 9.97E+11139.57619717 -1.42079109 1.7201192722 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-187.63798407 0.6478431416 1.6814718748 2.9 0.0000 5.76E+14 0.0000 7.51E+12165.88874216 0.3133880275 1.7295334333 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-86.029409908 -1.108529182 1.6897763755 3.1 0.0000 4.34E+15 0.0000 5.66E+13-20.112714976 1.4625202201 1.7074759274 3.2 0.0000 -1.19E+16 0.0000 -1.56E+14113.09809511 -1.273536622 1.7169251073 3.3 0.0000 3.27E+16 0.0000 4.27E+14

Δůi

L4238
el tiempo lo vamos a variar
M4238
ESTE ES EL DATO QUE VA A VARIAR
O4238
este dato no es igual al de la segunda columna?
I4239
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N4239
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 260: Hojas de Calculo Fransua

-160.40861721 0.6396755437 1.6852320534 3.4 0.0000 -9E+16 0.0000 -1.17E+15147.68920961 0.1873616043 1.7265839108 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-82.861673093 -0.900922715 1.6909058553 3.6 0.0000 -6.77E+17 0.0000 -8.84E+15-7.9601850629 1.2521697917 1.7084682091 3.7 0.0000 1.86E+18 0.0000 2.43E+1690.832501421 -1.135830609 1.7142851682 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-136.56166721 0.6197848073 1.6884828781 3.9 0.0000 1.4E+19 0.0000 1.83E+17130.8788783 0.0889419343 1.7239192152 4 0.0000 -3.85E+19 0.0000 -5E+17

-78.705039756 -0.726040385 1.6920642927 4.1 0.0000 1.06E+20 0.0000 1.38E+181.3126452909 1.0676692237 1.7091457347 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1872.201225297 -1.008240891 1.7121171513 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-115.76140245 0.5915425232 1.6912822329 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19115.47093227 0.0133170801 1.721525213 4.5 0.0000 6E+21 0.0000 7.83E+19

-73.897291686 -0.579431872 1.6932194735 4.6 0.0000 -1.65E+22 0.0000 -2.15E+208.2291077945 0.9065012059 1.7095729402 4.7 0.0000 4.52E+22 0.0000 5.9E+2056.692985077 -0.890974911 1.7103492549 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-97.690779986 0.5576536154 1.6936831901 4.9 0.0000 3.41E+23 0.0000 4.45E+21101.44504878 -0.043607603 1.7193854907 5 0.0000 -9.36E+23 0.0000 -1.22E+22-68.70542482 -0.457155383 1.6943473414 5.1 0.0000 2.57E+24 0.0000 3.35E+2213.231881009 0.7662780358 1.7098034741 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2243.857618667 -0.783965736 1.708919089 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-82.053580217 0.5202654756 1.695734076 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2388.756248292 -0.08530139 1.7174822803 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-63.337672173 -0.355734852 1.6954304682 5.6 0.0000 -4E+26 0.0000 -5.23E+2416.693707772 0.6447604919 1.7098817502 5.7 0.0000 1.1E+27 0.0000 1.44E+2533.300431493 -0.686942384 1.7077726556 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-68.575557105 0.4810617028 1.6974786215 5.9 0.0000 8.3E+27 0.0000 1.08E+2677.342053568 -0.114690491 1.7157971821 6 0.0000 -2.28E+28 0.0000 -3E+26

-57.953773532 -0.272117861 1.6964567645 6.1 0.0000 6.25E+28 0.0000 8.16E+2618.92692771 0.5398687704 1.70984431 6.2 0.0000 -1.72E+29 0.0000 -2.24E+27

24.676769156 -0.599486889 1.706863404 6.3 0.0000 4.71E+29 0.0000 6.15E+27-57.004826521 0.4413422944 1.6989561743 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2867.128228012 -0.13423139 1.7143117195 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-52.673710924 -0.203635 1.6974184 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2920.191917083 0.4496872442 1.7097210122 6.7 0.0000 2.68E+31 0.0000 3.49E+2917.686875224 -0.521080204 1.7061513642 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29-47.11167558 0.4020919641 1.7002019522 6.9 0.0000 2.02E+32 0.0000 2.63E+3058.033326565 -0.145975886 1.7130077561 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-47.585106987 -0.147961187 1.6983109025 7.1 0.0000 1.52E+33 0.0000 1.99E+3120.704528549 0.3724644912 1.7095360677 7.2 0.0000 -4.18E+33 0.0000 -5.45E+3112.071073301 -0.451138753 1.7056023546 7.3 0.0000 1.15E+34 0.0000 1.5E+32

-38.687942433 0.3640380959 1.7012473218 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3249.972259219 -0.151628512 1.711867801 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.749462623 -0.103079281 1.6991324114 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3320.642621754 0.3066097805 1.7093089363 7.7 0.0000 6.52E+35 0.0000 8.5E+337.6052957055 -0.389043202 1.7051872653 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34

-31.546087741 0.3276996889 1.7021200896 7.9 0.0000 4.91E+36 0.0000 6.41E+3442.859038341 -0.152597022 1.710875223 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-38.207391048 -0.067246203 1.6998830617 8.1 0.0000 3.7E+37 0.0000 4.83E+35

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20.151772384 0.2506869801 1.7090551005 8.2 0.0000 -1E+38 0.0000 -1.33E+364.096968006 -0.33416077 1.704881411 8.3 0.0000 2.79E+38 0.0000 3.64E+36

-25.51805521 0.2934285003 1.7028447976 8.4 0.0000 -7.66E+38 0.0000 -1E+3736.608855552 -0.15003659 1.7100143931 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-33.982987502 -0.038961663 1.7005644804 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3719.350243014 0.2034066658 1.7087867305 8.7 0.0000 1.59E+40 0.0000 2.07E+38

1.381248691 -0.285862229 1.7046639523 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-20.453998695 0.2614434606 1.7034430139 8.9 0.0000 1.2E+41 0.0000 1.56E+3931.139611789 -0.14488835 1.7092707695 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-30.087457545 -0.016939505 1.7011793767 9.1 0.0000 9.01E+41 0.0000 1.18E+4018.333294055 0.1636170518 1.7085132541 9.2 0.0000 -2.47E+42 0.0000 -3.23E+40

-0.6823842229 -0.243534566 1.7045173784 9.3 0.0000 6.79E+42 0.0000 8.86E+40-16.220936775 0.2318593078 1.7039336155 9.4 0.0000 -1.86E+43 0.0000 -2.43E+41

26.37300487 -0.137912868 1.7086309374 9.5 0.0000 5.12E+43 0.0000 6.68E+41-26.522111948 -8.16395E-05 1.7017312121 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4217.176907656 0.1302942353 1.7082418418 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-2.2132132501 -0.206590104 1.7044270484 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-12.701381988 0.204710276 1.704333057 9.9 0.0000 2.91E+45 0.0000 3.8E+4322.235262262 -0.129719105 1.7080826155 10 0.0000 -8E+45 0.0000 -1E+44

-23.280822725 0.0125455269 1.7022239366 10.1 0.0000 2.19E+46 0.0000 2.86E+4415.940991766 0.1025321361 1.7079778197 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-3.3120455296 -0.174472803 1.7043807864 10.3 0.0000 1.65E+47 0.0000 2.16E+45-9.7919805929 0.1799695703 1.7046556248 10.4 0.0000 -4.54E+47 0.0000 -5.92E+45

18.65759233 -0.120789363 1.7076146351 10.5 0.0000 1.25E+48 0.0000 1.63E+46-20.352022714 0.0217322908 1.7026617815 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4614.672125874 0.0795324253 1.7077250173 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-4.0636807659 -0.146662282 1.7043685245 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-7.4021895086 0.1575652658 1.7049136737 10.9 0.0000 7.08E+49 0.0000 9.23E+4715.576415047 -0.1115007 1.707216902 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-17.720320241 0.0281446112 1.7030490975 11.1 0.0000 5.33E+50 0.0000 6.96E+4813.405904383 0.0605946627 1.7074860612 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-4.5391042279 -0.122676079 1.7043819904 11.3 0.0000 4.02E+51 0.0000 5.25E+49-5.4530095912 0.1373931876 1.7051178459 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5012.933422566 -0.102143237 1.7068803434 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-15.367790754 0.0323409871 1.7033902309 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.168928167 0.0451068019 1.7072626203 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-4.7974266174 -0.102070513 1.7044144348 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-3.8757883699 0.1193272502 1.7052772717 11.9 0.0000 1.72E+54 0.0000 2.25E+5210.675511052 -0.092935736 1.7065968474 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-13.274998699 0.0347874114 1.7036894311 12.1 0.0000 1.3E+55 0.0000 1.69E+5310.980489773 0.0325361767 1.7070556105 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-4.8875925872 -0.084440504 1.7044603941 12.3 0.0000 9.78E+55 0.0000 1.28E+54-2.611100591 0.103227674 1.7053997526 12.4 0.0000 -2.69E+56 0.0000 -3.51E+548.7546175784 -0.084038807 1.706359196 12.5 0.0000 7.38E+56 0.0000 9.62E+54-11.42179538 0.0358705621 1.7039507838 12.6 0.0000 -2E+57 0.0000 -2.64E+559.8539928857 0.0224210408 1.7068653639 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-4.8498792061 -0.069418605 1.7045154857 12.8 0.0000 -1.53E+58 0.0000 -2E+56-1.6077111343 0.0889474327 1.7054919271 12.9 0.0000 4.19E+58 0.0000 5.47E+56

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7.1274894354 -0.075566046 1.7061609964 13 0.0000 -1.15E+59 0.0000 -1.5E+57-9.7879318557 0.0359093897 1.7041781636 13.1 0.0000 3.16E+59 0.0000 4.12E+578.7981422152 0.0143627047 1.7066917683 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-4.7172048431 -0.056673462 1.7045762304 13.3 0.0000 2.38E+60 0.0000 3.11E+58-0.8216219555 0.0763372392 1.7055594192 13.4 0.0000 -6.54E+60 0.0000 -8.53E+585.7554077734 -0.067593399 1.7059966112 13.5 0.0000 1.79E+61 0.0000 2.34E+59-8.353520116 0.0351652533 1.7043752039 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.8179358213 0.0080182887 1.706534381 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-4.5162678833 -0.045907891 1.7046399009 13.8 0.0000 -3.71E+62 0.0000 -4.85E+60-0.2152024774 0.0652493269 1.7056069727 13.9 0.0000 1.02E+63 0.0000 1.33E+614.6038830109 -0.060166974 1.7058610904 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-7.0993706999 0.0338507526 1.7045452794 14.1 0.0000 7.69E+63 0.0000 1E+626.9154881114 0.0030940944 1.7063925217 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-4.2685334812 -0.036856693 1.7047043918 14.3 0.0000 5.79E+64 0.0000 7.56E+620.2435987953 0.0555402505 1.7056385696 14.4 0.0000 -1.59E+65 0.0000 -2.08E+633.6423356477 -0.05330954 1.7057501051 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-6.0072305088 0.0321373917 1.7046914977 14.6 0.0000 -1.2E+66 0.0000 -1.56E+646.0907083032 -0.00066042 1.7062653463 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-3.9910852572 -0.029284341 1.7047681083 14.8 0.0000 -9E+66 0.0000 -1.18E+650.5819648544 0.0470728893 1.7056575357 14.9 0.0000 2.48E+67 0.0000 3.24E+652.8437730219 -0.0470259 1.7056598851 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-5.0599407498 0.0301622041 1.7048167003 15.1 0.0000 1.87E+68 0.0000 2.44E+665.3418560297 -0.003458078 1.7061519066 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-3.6973575051 -0.022982596 1.7048298729 15.3 0.0000 1.41E+69 0.0000 1.84E+670.8228471944 0.039717812 1.7056666337 15.4 0.0000 -3.87E+69 0.0000 -5.05E+672.1844699896 -0.041307295 1.7055871596 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-4.2415316612 0.0280334564 1.7049234676 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.6659929706 -0.005478875 1.7060511967 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.3977621459 -0.017768142 1.7048888458 15.8 0.0000 -2.2E+71 0.0000 -2.87E+690.9855340018 0.0333541332 1.7056681454 15.9 0.0000 6.04E+71 0.0000 7.88E+691.6436594177 -0.036134999 1.7055291021 16 0.0000 -1.66E+72 0.0000 -2.16E+70

-3.5372678533 0.0258355396 1.7050141291 16.1 0.0000 4.55E+72 0.0000 5.94E+704.0593468878 -0.006874343 1.705962189 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.1002233524 -0.013480275 1.704944458 16.3 0.0000 3.43E+73 0.0000 4.48E+711.0861545705 0.0278699706 1.7056639428 16.4 0.0000 -9.42E+73 0.0000 -1.23E+721.2032366911 -0.031483223 1.7054832802 16.5 0.0000 2.59E+74 0.0000 3.37E+72

-2.9336556867 0.0236331463 1.7050907764 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.5176022202 -0.007771434 1.705883862 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.8106315151 -0.009978688 1.7049963559 16.8 0.0000 -5.35E+75 0.0000 -7E+731.1381250934 0.0231625937 1.7056555512 16.9 0.0000 1.47E+76 0.0000 1.92E+740.8474810772 -0.027321446 1.7054476086 17 0.0000 -4E+76 0.0000 -5.26E+74

-2.41842206 0.0214748231 1.7051552774 17.1 0.0000 1.11E+77 0.0000 1.44E+753.0361294188 -0.008275957 1.7058152207 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5332270232 -0.007141369 1.7050443544 17.3 0.0000 8.35E+77 0.0000 1.09E+761.1525409502 0.0191383382 1.7056442028 17.4 0.0000 -2.29E+78 0.0000 -3E+76

0.562795717 -0.023616258 1.7054203069 17.5 0.0000 6.29E+78 0.0000 8.21E+76-1.980472242 0.0193959794 1.7052092929 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.6101634643 -0.00847561 1.7057553114 17.7 0.0000 4.74E+79 0.0000 6.19E+77

Page 263: Hojas de Calculo Fransua

-2.2709232209 -0.004862637 1.7050883991 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.1385204772 0.0157123468 1.7056308846 17.9 0.0000 3.57E+80 0.0000 4.66E+780.3374671629 -0.020332806 1.7053998616 18 0.0000 -9.81E+80 0.0000 -1.28E+79

-1.6098329182 0.017421423 1.7052542924 18.1 0.0000 2.69E+81 0.0000 3.52E+792.2349404811 -0.008442636 1.7057032318 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-2.0255768527 -0.003051316 1.7051285342 18.3 0.0000 2.03E+82 0.0000 2.65E+801.1035049983 0.0128081848 1.7056163776 18.4 0.0000 -5.58E+82 0.0000 -7.28E+800.1614447347 -0.017435907 1.7053849915 18.5 0.0000 1.53E+83 0.0000 2E+81

-1.2975853888 0.0155674878 1.7052915706 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.9058000282 -0.00823615 1.7056581375 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.7982133613 -0.001629056 1.7051648772 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.0535196381 0.0103573715 1.7056012929 18.9 0.0000 8.7E+84 0.0000 1.13E+830.0261394688 -0.014890887 1.7053746171 19 0.0000 -2.39E+85 0.0000 -3.12E+83

-1.0357928314 0.0138438094 1.7053222632 19.1 0.0000 6.56E+85 0.0000 8.55E+831.6182594807 -0.007904162 1.7056192456 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.5892135198 -0.000528801 1.7051975974 19.3 0.0000 4.94E+86 0.0000 6.45E+840.9933991477 0.0082988578 1.7055861003 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.0757579303 -0.012664202 1.7053678331 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.8174246819 0.0122547995 1.705347363 19.6 0.0000 -1E+88 0.0000 -1.33E+861.3680659075 -0.00748533 1.7055858364 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.3984670878 0.0003066021 1.7052269 19.8 0.0000 -7.71E+88 0.0000 -1E+870.9269826647 0.006578475 1.7055711539 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.1504409854 -0.010723873 1.705363884 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo2.7645708536 -1.759445956 2.76457085367.4617354738 7.6735786431 7.6735786431179.58801424 217.24348906 217.24348906

62.8318530720.0159154943

634.7788857NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

91.042952932 1.9 1.8 0 0.0000 0 5.0000 5-318.38232026 7.4617354738 2.2680867737 0.1 5.0000 250.0566 3.6603 8.256614384.45574573 1.656502581 2.7239986764 0.2 8.6603 -837.3589 1.3397 -9.057642

-321.98416252 -0.845059038 2.7645708536 0.3 10.0000 2233.47 -1.3397 27.9842

Δůi

L4460
el tiempo lo vamos a variar
M4460
ESTE ES EL DATO QUE VA A VARIAR
O4460
este dato no es igual al de la segunda columna?
I4461
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N4461
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 264: Hojas de Calculo Fransua

160.53306875 -0.223041496 2.7111658268 0.4 8.6603 -6244.01 -3.6603 -85.5545183.884631921 -7.673578643 2.3163348199 0.5 5.0000 17064.35 -5.0000 216.8326

-60.776822089 -2.903230756 1.7874943499 0.6 0.0000 -46890.61 0.0000 -612.9178-159.26908203 3.0225076227 1.7934581933 0.7 0.0000 129001.2 0.0000 1683.659309.98812353 -2.054049205 1.8418811142 0.8 0.0000 -354259 0.0000 -4622.764-341.3688009 0.405346043 1.7594459561 0.9 0.0000 972642.8 0.0000 12691.83248.89204475 1.2957074224 1.8444986293 1 0.0000 -2670386 0.0000 -34845.27

-72.591689736 -2.437769005 1.7873955502 1.1 0.0000 7331509 0.0000 95667.17-119.76712147 2.6437723177 1.7976957158 1.2 0.0000 -2E+07 0.0000 -262653258.48289181 -1.89262692 1.8352529857 1.3 0.0000 55262633 0.0000 721109.3-296.9560882 0.5067623594 1.7659597577 1.4 0.0000 -1.52E+08 0.0000 -1979795227.05809479 0.9824918189 1.8404224666 1.5 0.0000 4.17E+08 0.0000 5435497

-79.877157962 -2.036678392 1.7877131379 1.6 0.0000 -1.14E+09 0.0000-14923077-87.603932611 2.3031982381 1.8010391302 1.7 0.0000 3.14E+09 0.0000 40971085214.34317484 -1.73097966 1.8296500591 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-257.29977093 0.5718045531 1.7716913038 1.9 0.0000 2.37E+10 0.0000 3.09E+08205.81682586 0.726758962 1.8366194795 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-83.613536671 -1.692433883 1.7883357335 2.1 0.0000 1.78E+11 0.0000 2.33E+09-61.629541559 1.9985377323 1.803640926 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09176.67016793 -1.572644564 1.8249355844 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-222.05957023 0.6082044575 1.776713579 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.47681085 0.5195833642 1.8331029701 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-84.611432558 -1.398175698 1.7891733534 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-40.849435424 1.7273341543 1.8056312762 2.7 0.0000 7.64E+13 0.0000 9.97E+11144.65148289 -1.420199392 1.8209880143 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12-190.8855505 0.6223694342 1.7810965164 2.9 0.0000 5.76E+14 0.0000 7.51E+12166.24974397 0.3532348805 1.8298767322 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-83.536901703 -1.14769 1.7901539762 3.1 0.0000 4.34E+15 0.0000 5.66E+13-24.406945411 1.4870272334 1.8071208379 3.2 0.0000 -1.19E+16 0.0000 -1.56E+14117.55694441 -1.275447889 1.8176998051 3.3 0.0000 3.27E+16 0.0000 4.27E+14-163.4280788 0.6195769379 1.7849062575 3.4 0.0000 -9E+16 0.0000 -1.17E+15148.27020549 0.2210450454 1.8269373567 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-80.933399694 -0.935380513 1.7912205833 3.6 0.0000 -6.77E+17 0.0000 -8.84E+15-11.567084831 1.2750342191 1.8082032687 3.7 0.0000 1.86E+18 0.0000 2.43E+1694.733671488 -1.139575275 1.8149762158 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-139.34527734 0.6041445628 1.7882046802 3.9 0.0000 1.4E+19 0.0000 1.83E+17131.61212471 0.1172841085 1.8242761138 4 0.0000 -3.85E+19 0.0000 -5E+17

-77.240860686 -0.756233977 1.7923286204 4.1 0.0000 1.06E+20 0.0000 1.38E+18-1.7018247535 1.0888111386 1.8089574784 4.2 0.0000 -2.9E+20 0.0000 -3.78E+18

75.60072951 -1.013278018 1.8127341345 4.3 0.0000 7.96E+20 0.0000 1.04E+19-118.30843784 0.5795780639 1.7910491368 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19116.30241555 0.037048729 1.8218804764 4.5 0.0000 6E+21 0.0000 7.83E+19

-72.812215388 -0.60578172 1.7934438269 4.6 0.0000 -1.65E+22 0.0000 -2.15E+205.7232366064 0.9258978382 1.8094496327 4.7 0.0000 4.52E+22 0.0000 5.9E+2059.643575762 -0.896871542 1.8109009475 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-100.005793 0.5486996959 1.7934923552 4.9 0.0000 3.41E+23 0.0000 4.45E+21102.33220103 -0.023839928 1.8197353436 5 0.0000 -9.36E+23 0.0000 -1.22E+22-67.92763533 -0.48005915 1.7945403898 5.1 0.0000 2.57E+24 0.0000 3.35E+22

Page 265: Hojas de Calculo Fransua

11.160873632 0.7839499126 1.8097349279 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2246.40846996 -0.79037911 1.809413468 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-84.14497625 0.5137590475 1.7955824649 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2389.665990338 -0.06892811 1.8178240118 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-62.806767539 -0.375564563 1.7955993782 5.6 0.0000 -4E+26 0.0000 -5.23E+2414.992977946 0.6607601246 1.8098591563 5.7 0.0000 1.1E+27 0.0000 1.44E+25

35.49697887 -0.693604668 1.8082169291 5.8 0.0000 -3E+27 0.0000 -3.94E+25-70.454446254 0.4765283804 1.7973631148 5.9 0.0000 8.3E+27 0.0000 1.08E+2678.249124918 -0.10121194 1.8161289368 6 0.0000 -2.28E+28 0.0000 -3E+26

-57.619200721 -0.289218328 1.7966074233 6.1 0.0000 6.25E+28 0.0000 8.16E+2617.5401317 0.5542714941 1.8098600816 6.2 0.0000 -1.72E+29 0.0000 -2.24E+27

26.560669753 -0.606192135 1.8072640496 6.3 0.0000 4.71E+29 0.0000 6.15E+27-58.684105286 0.438384309 1.7988736583 6.4 0.0000 -1.29E+30 0.0000 -1.69E+28

68.01376776 -0.123211024 1.8146323226 6.5 0.0000 3.55E+30 0.0000 4.64E+28-52.493381615 -0.218323233 1.7975556097 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2919.070097464 0.462583865 1.8097686413 6.7 0.0000 2.68E+31 0.0000 3.49E+2919.296059472 -0.527673245 1.8065141723 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29

-48.605300664 0.4003774928 1.8001493847 6.9 0.0000 2.02E+32 0.0000 2.63E+3058.883672787 -0.137033829 1.8133165679 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-47.524178622 -0.160526545 1.7984385492 7.1 0.0000 1.52E+33 0.0000 1.99E+3119.805313921 0.3839554468 1.8096099942 7.2 0.0000 -4.18E+33 0.0000 -5.45E+3113.439863852 -0.457505796 1.8059324768 7.3 0.0000 1.15E+34 0.0000 1.5E+32-40.01036404 0.3632918498 1.8012217795 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3250.777937854 -0.144435514 1.8121645963 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.779269478 -0.113784187 1.7992536112 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3319.929485564 0.3168005594 1.8094044299 7.7 0.0000 6.52E+35 0.0000 8.5E+338.7645741721 -0.39510389 1.8054892633 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34

-32.711814526 0.3276946468 1.8021188012 7.9 0.0000 4.91E+36 0.0000 6.41E+3443.613915754 -0.146868834 1.8111600918 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-38.304510672 -0.076327253 1.8000002875 8.1 0.0000 3.7E+37 0.0000 4.83E+3519.593351981 0.259684582 1.8091681539 8.2 0.0000 -1E+38 0.0000 -1.33E+365.0743739422 -0.339861518 1.8051593072 8.3 0.0000 2.79E+38 0.0000 3.64E+36

-26.541327197 0.2939786789 1.8028651652 8.4 0.0000 -7.66E+38 0.0000 -1E+3737.309431935 -0.145528787 1.8102876598 8.5 0.0000 2.1E+39 0.0000 2.75E+37-34.12842865 -0.046631017 1.8006796696 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3718.919718476 0.2113169182 1.8089139647 8.7 0.0000 1.59E+40 0.0000 2.07E+382.2013984188 -0.291170656 1.8049212778 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38

-21.3485481 0.2623976155 1.8034826258 8.9 0.0000 1.2E+41 0.0000 1.56E+3931.784435252 -0.141391598 1.8095329267 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-30.265956569 -0.023386453 1.8012940242 9.1 0.0000 9.01E+41 0.0000 1.18E+4018.007825156 0.1705426258 1.8086518328 9.2 0.0000 -2.47E+42 0.0000 -3.23E+400.0023313725 -0.248434866 1.8047572208 9.3 0.0000 6.79E+42 0.0000 8.86E+40

-16.999819812 0.2330954686 1.8039902509 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4126.962188542 -0.135248619 1.8088825934 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-26.721525585 -0.00547427 1.801846449 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4216.937126502 0.136333227 1.8083893969 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-1.6446722955 -0.21107923 1.8046520967 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-13.376867461 0.2061310227 1.8044046863 9.9 0.0000 2.91E+45 0.0000 3.8E+43

Page 266: Hojas de Calculo Fransua

22.770088924 -0.127735712 1.8083244518 10 0.0000 -8E+45 0.0000 -1E+44-23.491606148 0.0080586261 1.8023405975 10.1 0.0000 2.19E+46 0.0000 2.86E+44

15.77054804 0.1077771032 1.808132384 10.2 0.0000 -6E+46 0.0000 -7.85E+44-2.8427536309 -0.178557325 1.8045933729 10.3 0.0000 1.65E+47 0.0000 2.16E+45-10.375483409 0.1814979672 1.804740405 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4519.140193139 -0.119358593 1.8078473738 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-20.566782667 0.0180203343 1.8027804608 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4614.557281288 0.0840697846 1.8078849668 10.7 0.0000 9.39E+48 0.0000 1.23E+47-3.678824726 -0.150355834 1.8045706643 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-7.904239274 0.1591413756 1.8050099414 10.9 0.0000 7.08E+49 0.0000 9.23E+4716.009510644 -0.110514615 1.8074412794 11 0.0000 -1.94E+50 0.0000 -2.54E+48-17.93343405 0.0250929632 1.8031701969 11.1 0.0000 5.33E+50 0.0000 6.96E+4813.335172698 0.064504371 1.8076500636 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-4.2257718503 -0.125997289 1.8045754177 11.3 0.0000 4.02E+51 0.0000 5.25E+49-5.8832461543 0.1389710936 1.8052241079 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5013.320116495 -0.101511424 1.8070970914 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-15.575082858 0.0298495752 1.8035139989 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.132757103 0.0484622563 1.8074295905 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-4.5444074577 -0.10504135 1.8046006358 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-4.2429776407 0.1208725254 1.8053921946 11.9 0.0000 1.72E+54 0.0000 2.25E+5211.019126797 -0.092582854 1.8068066781 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-13.473467239 0.0327692247 1.8038159967 12.1 0.0000 1.3E+55 0.0000 1.69E+5310.970981143 0.0354042812 1.807224672 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53-4.685192087 -0.087084967 1.8046406377 12.3 0.0000 9.78E+55 0.0000 1.28E+54

-2.9231652068 0.1047152374 1.8055221512 12.4 0.0000 -2.69E+56 0.0000 -3.51E+549.0585717843 -0.083902423 1.8065627919 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-11.609382158 0.0342502458 1.8040801831 12.6 0.0000 -2E+57 0.0000 -2.64E+559.864657371 0.0248623958 1.8070358152 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-4.689746851 -0.071761694 1.8046908503 12.8 0.0000 -1.53E+58 0.0000 -2E+56-1.8717715848 0.0903597431 1.8056207527 12.9 0.0000 4.19E+58 0.0000 5.47E+567.3951949475 -0.075594742 1.8063590028 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-9.9633297304 0.0346219409 1.8043103627 13.1 0.0000 3.16E+59 0.0000 4.12E+578.8236853764 0.0164318847 1.806863054 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-4.5921765239 -0.058740389 1.8047476288 13.3 0.0000 2.38E+60 0.0000 3.11E+58-1.0440446544 0.0776627795 1.8056937483 13.4 0.0000 -6.54E+60 0.0000 -8.53E+585.9902011051 -0.067745111 1.8061896317 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-8.5160125824 0.0341548217 1.8045101173 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.8540721053 0.0097641802 1.8067060674 13.7 0.0000 1.35E+62 0.0000 1.77E+60-4.420222289 -0.047723485 1.8048081022 13.8 0.0000 -3.71E+62 0.0000 -4.85E+60

-0.4016520016 0.0664813403 1.8057459949 13.9 0.0000 1.02E+63 0.0000 1.33E+614.8089716652 -0.060407549 1.8060496845 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-7.2486990287 0.0330695454 1.8046827843 14.1 0.0000 7.69E+63 0.0000 1E+626.9587798315 0.0045602713 1.8065642752 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-4.1962620936 -0.038444963 1.8048700406 14.3 0.0000 5.79E+64 0.0000 7.56E+620.088105469 0.0566756903 1.805781577 14.4 0.0000 -1.59E+65 0.0000 -2.08E+63

3.8207614419 -0.053611488 1.8059347871 14.5 0.0000 4.37E+65 0.0000 5.7E+63-6.1434843846 0.0315446794 1.8048314467 14.6 0.0000 -1.2E+66 0.0000 -1.56E+646.1384267892 0.0005646995 1.8064369156 14.7 0.0000 3.29E+66 0.0000 4.29E+64

Page 267: Hojas de Calculo Fransua

-3.9381753299 -0.03066816 1.8049317426 14.8 0.0000 -9E+66 0.0000 -1.18E+650.4530037861 0.0481115532 1.8058039122 14.9 0.0000 2.48E+67 0.0000 3.24E+652.9983881884 -0.047367311 1.8058411244 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-5.1834688647 0.0297234243 1.80495893 15.1 0.0000 1.87E+68 0.0000 2.44E+665.3918623721 -0.002439875 1.8063231075 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-3.6600872889 -0.024183498 1.8049919389 15.3 0.0000 1.41E+69 0.0000 1.84E+670.716533847 0.0406616324 1.8058158456 15.4 0.0000 -3.87E+69 0.0000 -5.05E+672.317923359 -0.041670909 1.8057653818 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-4.3528691785 0.0277194097 1.8050678068 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.7166360068 -0.004637562 1.8062218992 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.37300754 -0.018806193 1.8050497114 15.8 0.0000 -2.2E+71 0.0000 -2.87E+690.898471458 0.0342065994 1.8058197317 15.9 0.0000 6.04E+71 0.0000 7.88E+69

1.7583904507 -0.036507412 1.8057046911 16 0.0000 -1.66E+72 0.0000 -2.16E+70-3.6370780674 0.0256216718 1.805160404 16.1 0.0000 4.55E+72 0.0000 5.94E+704.1093762983 -0.006183625 1.8061323064 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.0853751239 -0.01437401 1.8051044246 16.3 0.0000 3.43E+73 0.0000 4.48E+711.0153842513 0.028635663 1.8058175072 16.4 0.0000 -9.42E+73 0.0000 -1.23E+721.3014755166 -0.031854207 1.80565658 16.5 0.0000 2.59E+74 0.0000 3.37E+72-3.022683571 0.0234989108 1.8052388152 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.5660948127 -0.007208374 1.806053342 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.8035222158 -0.010745096 1.8051556685 16.8 0.0000 -5.35E+75 0.0000 -7E+731.0810804112 0.0238468111 1.8058107543 16.9 0.0000 1.47E+76 0.0000 1.92E+740.9312530289 -0.027683372 1.8056189263 17 0.0000 -4E+76 0.0000 -5.26E+74-2.497457719 0.0214031173 1.8053049135 17.1 0.0000 1.11E+77 0.0000 1.44E+753.0824268757 -0.007820628 1.805984038 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5320667424 -0.007795916 1.8052032108 17.3 0.0000 8.35E+77 0.0000 1.09E+761.1070041572 0.0197468036 1.8058007552 17.4 0.0000 -2.29E+78 0.0000 -3E+760.6339291405 -0.023963607 1.8055899151 17.5 0.0000 6.29E+78 0.0000 8.21E+76

-2.0503225676 0.0193726482 1.8053603672 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.6538200163 -0.008110768 1.8059234611 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2742433387 -0.005419313 1.8052469571 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.1025828368 0.0162509772 1.8057885403 17.9 0.0000 3.57E+80 0.0000 4.66E+780.3976035041 -0.020661758 1.8055680013 18 0.0000 -9.81E+80 0.0000 -1.28E+79

-1.6713000005 0.0174348235 1.8054066545 18.1 0.0000 2.69E+81 0.0000 3.52E+792.2756791422 -0.00815342 1.8058707247 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79-2.032180998 -0.003522706 1.8052869185 18.3 0.0000 2.03E+82 0.0000 2.65E+801.0755303022 0.0132829154 1.8057749289 18.4 0.0000 -5.58E+82 0.0000 -7.28E+800.2120501199 -0.017743998 1.8055518748 18.5 0.0000 1.53E+83 0.0000 2E+81-1.351450451 0.0156081092 1.8054450803 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.9434761836 -0.0080098 1.8058249958 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.8071348194 -0.002026422 1.8053231847 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.0321110148 0.0107740234 1.8057605648 18.9 0.0000 8.7E+84 0.0000 1.13E+830.0685171525 -0.015176721 1.8055404299 19 0.0000 -2.39E+85 0.0000 -3.12E+83

-1.0828046467 0.0139039428 1.805476791 19.1 0.0000 6.56E+85 0.0000 8.55E+831.6528307667 -0.007729768 1.8057854997 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.5996783889 -0.000862173 1.8053559027 19.3 0.0000 4.94E+86 0.0000 6.45E+840.977369051 0.0086630412 1.8057459461 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.0404547357 -0.012927212 1.8055327376 19.5 0.0000 3.72E+87 0.0000 4.86E+85

Page 268: Hojas de Calculo Fransua

-0.8582915983 0.0123282513 1.8055027896 19.6 0.0000 -1E+88 0.0000 -1.33E+861.3995674519 -0.007353602 1.805751522 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.4098625344 2.833648E-05 1.8053852587 19.8 0.0000 -7.71E+88 0.0000 -1E+870.9153258896 0.0068955213 1.8057314516 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.1211962706 -0.010964126 1.8055280213 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo2.8660900673 -1.858872891 2.8660900673

7.38529874 7.5869304806 7.5869304806182.85960059 211.64190188 211.64190188

62.8318530720.0159154943635.22642434

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

87.500335313 2 1.9 0 0.0000 0 5.0000 5-309.24505694 7.38529874 2.369264937 0.1 5.0000 250.0566 3.6603 8.256614373.30619718 1.6833613986 2.8226979439 0.2 8.6603 -837.3589 1.3397 -9.057642

-312.92314413 -0.815518931 2.8660900673 0.3 10.0000 2233.47 -1.3397 27.9842156.68402023 -0.295246608 2.8105517904 0.4 8.6603 -6244.01 -3.6603 -85.5545181.437870006 -7.586930481 2.4164429359 0.5 5.0000 17064.35 -5.0000 216.8326

-53.263068802 -2.972519841 1.8884704198 0.6 0.0000 -46890.61 0.0000 -612.9178-168.87777732 3.0506308585 1.8923759707 0.7 0.0000 129001.2 0.0000 1683.659318.13740532 -2.033260748 1.9432444762 0.8 0.0000 -354259 0.0000 -4622.764

-345.22597782 0.3458290447 1.858872891 0.9 0.0000 972642.8 0.0000 12691.83247.31868981 1.3704902122 1.9446888539 1 0.0000 -2670386 0.0000 -34845.27

-66.455625584 -2.500213021 1.8882027135 1.1 0.0000 7331509 0.0000 95667.17-128.01492285 2.6722369569 1.8968039102 1.2 0.0000 -2E+07 0.0000 -262653265.77387048 -1.878840487 1.9364737337 1.3 0.0000 55262633 0.0000 721109.3

-300.73629845 0.4580294499 1.8654331819 1.4 0.0000 -1.52E+08 0.0000 -1979795226.1727411 1.0467779882 1.9406735538 1.5 0.0000 4.17E+08 0.0000 5435497

-74.90501464 -2.092651341 1.8883798861 1.6 0.0000 -1.14E+09 0.0000-14923077-94.65492087 2.3313056533 1.9003126018 1.7 0.0000 3.14E+09 0.0000 40971085220.83434983 -1.722734128 1.930741178 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-260.94094128 0.5321975383 1.8712143485 1.9 0.0000 2.37E+10 0.0000 3.09E+08205.46580268 0.7817996319 1.936914207 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-79.620154065 -1.742355204 1.8888864284 2.1 0.0000 1.78E+11 0.0000 2.33E+09

Δůi

L4682
el tiempo lo vamos a variar
M4682
ESTE ES EL DATO QUE VA A VARIAR
O4682
este dato no es igual al de la segunda columna?
I4683
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N4683
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 269: Hojas de Calculo Fransua

-67.632372449 2.0257723903 1.9030572877 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09182.42257307 -1.568726341 1.9259095902 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-225.51820588 0.5762849591 1.8762875211 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.5335237 0.5665146181 1.9334275 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-81.437063109 -1.442489832 1.8896287393 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-45.938011469 1.7533287482 1.9051706851 2.7 0.0000 7.64E+13 0.0000 9.97E+11149.72673592 -1.419606401 1.9218568025 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-194.13300717 0.5968946727 1.8807212161 2.9 0.0000 5.76E+14 0.0000 7.51E+12166.61060255 0.3930821838 1.9302200589 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-81.044269896 -1.186850536 1.8905316413 3.1 0.0000 4.34E+15 0.0000 5.66E+13-28.701236711 1.5115333763 1.9067657833 3.2 0.0000 -1.19E+16 0.0000 -1.56E+14122.01577358 -1.277358042 1.91847455 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-166.44745104 0.5994773843 1.8845805172 3.4 0.0000 -9E+16 0.0000 -1.17E+15148.85107863 0.2547289373 1.9272908333 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-79.005015942 -0.969838131 1.8915353736 3.6 0.0000 -6.77E+17 0.0000 -8.84E+15-15.174043793 1.297897936 1.9079383639 3.7 0.0000 1.86E+18 0.0000 2.43E+1698.634831292 -1.143318984 1.9156673115 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-142.12881532 0.5885034706 1.8879265358 3.9 0.0000 1.4E+19 0.0000 1.83E+17132.34526638 0.145626724 1.9246330455 4 0.0000 -3.85E+19 0.0000 -5E+17

-75.776583559 -0.78642747 1.8925930082 4.1 0.0000 1.06E+20 0.0000 1.38E+18-4.7163514654 1.1099524779 1.9087692587 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1879.000231059 -1.018314326 1.9133511663 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-120.85541553 0.56761285 1.8908160925 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19117.13380981 0.0607808026 1.9222357751 4.5 0.0000 6E+21 0.0000 7.83E+19

-71.727052354 -0.632131531 1.8936682387 4.6 0.0000 -1.65E+22 0.0000 -2.15E+203.2173118629 0.9452940085 1.9093263626 4.7 0.0000 4.52E+22 0.0000 5.9E+2062.594169532 -0.902767477 1.9114526892 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-102.32076036 0.5397451078 1.8933015707 4.9 0.0000 3.41E+23 0.0000 4.45E+21103.21927795 -0.004071849 1.9200852337 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-67.149769452 -0.502962926 1.8947334949 5.1 0.0000 2.57E+24 0.0000 3.35E+229.0898161832 0.8016214223 1.9096664198 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2248.959328578 -0.796791893 1.9099078962 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-86.236336643 0.5072520297 1.8954309031 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2390.57566894 -0.052554451 1.918165782 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-62.275795909 -0.395394317 1.8957683436 5.6 0.0000 -4E+26 0.0000 -5.23E+2413.292201736 0.6767594693 1.9098366013 5.7 0.0000 1.1E+27 0.0000 1.44E+2537.693536589 -0.700266453 1.9086612521 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-72.333308028 0.47199454 1.8972476564 5.9 0.0000 8.3E+27 0.0000 1.08E+2679.156143087 -0.087733039 1.9164607315 6 0.0000 -2.28E+28 0.0000 -3E+26

-57.284569392 -0.306318864 1.8967581363 6.1 0.0000 6.25E+28 0.0000 8.16E+2616.153293065 0.5686739951 1.9098758929 6.2 0.0000 -1.72E+29 0.0000 -2.24E+2728.444582727 -0.612896962 1.9076647445 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-60.363363456 0.4354258704 1.89879119 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2868.899263159 -0.112190334 1.9149529668 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-52.313001398 -0.233011552 1.8976928725 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2917.948238956 0.4754803168 1.9098163107 6.7 0.0000 2.68E+31 0.0000 3.49E+2920.905257358 -0.534265936 1.9068770298 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29

-50.098910673 0.3986626266 1.9000968643 6.9 0.0000 2.02E+32 0.0000 2.63E+30

Page 270: Hojas de Calculo Fransua

59.733982229 -0.128091476 1.9136254218 7 0.0000 -5.54E+32 0.0000 -7.23E+30-47.463206145 -0.173092002 1.8985662479 7.1 0.0000 1.52E+33 0.0000 1.99E+3118.906064038 0.3954462774 1.9096839617 7.2 0.0000 -4.18E+33 0.0000 -5.45E+3114.808668689 -0.463872549 1.9062626481 7.3 0.0000 1.15E+34 0.0000 1.5E+32

-41.332775032 0.362545261 1.9011962837 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3251.58358617 -0.137242246 1.9124614345 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.809038258 -0.124489196 1.8993748623 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3319.216317599 0.3269912488 1.909499965 7.7 0.0000 6.52E+35 0.0000 8.5E+33

9.923867104 -0.401164339 1.9057913105 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34-33.877534264 0.3276893086 1.902117559 7.9 0.0000 4.91E+36 0.0000 6.41E+3444.368768338 -0.141140402 1.9114450043 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-38.401597565 -0.085408409 1.9001175638 8.1 0.0000 3.7E+37 0.0000 4.83E+3519.034903094 0.268682123 1.9092812495 8.2 0.0000 -1E+38 0.0000 -1.33E+366.0517941661 -0.345562069 1.9054372522 8.3 0.0000 2.79E+38 0.0000 3.64E+36

-27.564594962 0.2945286025 1.9028855789 8.4 0.0000 -7.66E+38 0.0000 -1E+3738.009988136 -0.141020766 1.9105609707 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-34.273841771 -0.054300476 1.9007949086 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3718.489168532 0.2192271325 1.9090412414 8.7 0.0000 1.59E+40 0.0000 2.07E+383.0215619936 -0.296478921 1.905178652 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38

-22.243095489 0.2633515517 1.9035222835 8.9 0.0000 1.2E+41 0.0000 1.56E+3932.429242449 -0.13789465 1.9097951286 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-30.444431694 -0.029833504 1.9014087209 9.1 0.0000 9.01E+41 0.0000 1.18E+4017.682333704 0.1774681795 1.9087904546 9.2 0.0000 -2.47E+42 0.0000 -3.23E+400.6870601866 -0.253335036 1.9049971118 9.3 0.0000 6.79E+42 0.0000 8.86E+40-17.77870253 0.2343314425 1.9040469321 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4127.551359229 -0.132584196 1.9091342944 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-26.920918931 -0.010866999 1.9019617347 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4216.697325415 0.1423722122 1.9085369953 9.7 0.0000 3.86E+44 0.0000 5.04E+42

-1.0761188773 -0.215568252 1.9048771933 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43-14.052353891 0.2075516105 1.9044763613 9.9 0.0000 2.91E+45 0.0000 3.8E+4323.304905341 -0.125752165 1.9085663335 10 0.0000 -8E+45 0.0000 -1E+44

-23.702372416 0.0035716313 1.9024573068 10.1 0.0000 2.19E+46 0.0000 2.86E+4415.600086776 0.1130220743 1.9082869921 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-2.3734501025 -0.182641765 1.9048060076 10.3 0.0000 1.65E+47 0.0000 2.16E+45-10.958988117 0.1830262297 1.9048252308 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4519.622785974 -0.117927687 1.908080158 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-20.781528186 0.0143082898 1.9028991881 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4614.442421333 0.0886071556 1.9080449604 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-3.2939579315 -0.154049321 1.9047728521 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-8.4062915919 0.160717372 1.9051062547 10.9 0.0000 7.08E+49 0.0000 9.23E+47

16.44260014 -0.109528411 1.9076657027 11 0.0000 -1.94E+50 0.0000 -2.54E+48-18.146535772 0.0220412336 1.9032913438 11.1 0.0000 5.33E+50 0.0000 6.96E+4813.264427598 0.0684140965 1.9078141104 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-3.9124296049 -0.129318449 1.9047688927 11.3 0.0000 4.02E+51 0.0000 5.25E+49-6.3134857094 0.1405489046 1.9053304155 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5013.706805855 -0.100879507 1.9073138853 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-15.782364893 0.0273580882 1.9036378144 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.09657438 0.0518177318 1.9075966054 11.7 0.0000 2.28E+53 0.0000 2.98E+51

Page 271: Hojas de Calculo Fransua

-4.2913793069 -0.10801215 1.9047868845 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-4.6101701679 0.1224177212 1.905507163 11.9 0.0000 1.72E+54 0.0000 2.25E+5211.362739221 -0.092229881 1.907016555 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-13.671927438 0.0307509695 1.9039426094 12.1 0.0000 1.3E+55 0.0000 1.69E+5310.961462417 0.0382724091 1.9073937784 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-4.4827834459 -0.089729402 1.9048209287 12.3 0.0000 9.78E+55 0.0000 1.28E+54-3.2352332071 0.1062027349 1.9056445954 12.4 0.0000 -2.69E+56 0.0000 -3.51E+54

9.362523675 -0.083765961 1.9067664341 12.5 0.0000 7.38E+56 0.0000 9.62E+54-11.79696207 0.0326298673 1.9042096294 12.6 0.0000 -2E+57 0.0000 -2.64E+559.8753131497 0.0273037755 1.9072063115 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-4.5296071669 -0.074104762 1.9048662622 12.8 0.0000 -1.53E+58 0.0000 -2E+56-2.1358354429 0.091771999 1.905749624 12.9 0.0000 4.19E+58 0.0000 5.47E+567.6628989472 -0.07562337 1.9065570555 13 0.0000 -1.15E+59 0.0000 -1.5E+57-10.13872199 0.0333344359 1.9044426088 13.1 0.0000 3.16E+59 0.0000 4.12E+578.8492210588 0.0185010898 1.907034385 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-4.4671416416 -0.060807303 1.9049190744 13.3 0.0000 2.38E+60 0.0000 3.11E+58-1.2664707046 0.0789882753 1.905828123 13.4 0.0000 -6.54E+60 0.0000 -8.53E+586.2249935584 -0.067896764 1.9063826986 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-8.6785004924 0.0331443398 1.9046450774 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.8902019911 0.0115100967 1.9068777992 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-4.3241708467 -0.049539072 1.9049763505 13.8 0.0000 -3.71E+62 0.0000 -4.85E+60-0.588104763 0.0677133175 1.9058850628 13.9 0.0000 1.02E+63 0.0000 1.33E+615.0140599347 -0.060648074 1.9062383249 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-7.3980236918 0.0322882932 1.9048203359 14.1 0.0000 7.69E+63 0.0000 1E+627.0020661004 0.0060264724 1.9067360742 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-4.1239855192 -0.040033228 1.9050357364 14.3 0.0000 5.79E+64 0.0000 7.56E+62-0.0673909392 0.0578111009 1.9059246301 14.4 0.0000 -1.59E+65 0.0000 -2.08E+633.9991872293 -0.053913393 1.9061195154 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-6.2797353407 0.0309519271 1.9049714421 14.6 0.0000 -1.2E+66 0.0000 -1.56E+646.1861406507 0.0017898418 1.9066085306 14.7 0.0000 3.29E+66 0.0000 4.29E+64-3.885260823 -0.032051978 1.9050954238 14.8 0.0000 -9E+66 0.0000 -1.18E+650.3240398186 0.0491501938 1.9059503346 14.9 0.0000 2.48E+67 0.0000 3.24E+653.1530036314 -0.047708685 1.90602241 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-5.3069946816 0.0292846091 1.9051012062 15.1 0.0000 1.87E+68 0.0000 2.44E+665.4418648087 -0.001421649 1.9064943542 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-3.6228130463 -0.025384402 1.9051540517 15.3 0.0000 1.41E+69 0.0000 1.84E+670.6102177995 0.0416054342 1.9059651033 15.4 0.0000 -3.87E+69 0.0000 -5.05E+672.4513772111 -0.042034492 1.9059436504 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-4.4642049129 0.0274053319 1.9052121924 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.7672757595 -0.003796229 1.9063926475 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.3482494086 -0.019844248 1.9052106237 15.8 0.0000 -2.2E+71 0.0000 -2.87E+690.8114064215 0.0350590511 1.9059713638 15.9 0.0000 6.04E+71 0.0000 7.88E+691.8731221103 -0.036879799 1.9058803264 16 0.0000 -1.66E+72 0.0000 -2.16E+70

-3.7368869226 0.0254077768 1.9053067253 16.1 0.0000 4.55E+72 0.0000 5.94E+704.1594029622 -0.005492888 1.9063024698 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.0705238212 -0.01526775 1.9052644379 16.3 0.0000 3.43E+73 0.0000 4.48E+710.9446116483 0.0294013442 1.9059711176 16.4 0.0000 -9.42E+73 0.0000 -1.23E+721.3997150631 -0.03222517 1.9058299263 16.5 0.0000 2.59E+74 0.0000 3.37E+72

Page 272: Hojas de Calculo Fransua

-3.1117104433 0.0233646516 1.9053869004 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.6145851197 -0.006645296 1.9062228681 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.7964102464 -0.01151151 1.9053150278 16.8 0.0000 -5.35E+75 0.0000 -7E+731.0240336508 0.0245310202 1.9059660034 16.9 0.0000 1.47E+76 0.0000 1.92E+741.0150257568 -0.02804528 1.9057902904 17 0.0000 -4E+76 0.0000 -5.26E+74

-2.5764926476 0.0213313909 1.905454596 17.1 0.0000 1.11E+77 0.0000 1.44E+753.1287224416 -0.007365283 1.9061529013 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5309041514 -0.008450467 1.9053621138 17.3 0.0000 8.35E+77 0.0000 1.09E+761.0614654848 0.0203552628 1.9059573536 17.4 0.0000 -2.29E+78 0.0000 -3E+760.7050633648 -0.02431094 1.9057595697 17.5 0.0000 6.29E+78 0.0000 8.21E+76

-2.1201723895 0.019349299 1.9055114876 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.6974750137 -0.007745913 1.9060916569 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2775614659 -0.005975994 1.9054055616 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.0666435064 0.0167896032 1.9059462421 17.9 0.0000 3.57E+80 0.0000 4.66E+780.4577406472 -0.020990698 1.9057361874 18 0.0000 -9.81E+80 0.0000 -1.28E+79

-1.7327667597 0.0174482084 1.9055590629 18.1 0.0000 2.69E+81 0.0000 3.52E+792.3164165338 -0.007864191 1.9060382638 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-2.0387834348 -0.003994101 1.9054453492 18.3 0.0000 2.03E+82 0.0000 2.65E+801.0475540942 0.0137576432 1.9059335263 18.4 0.0000 -5.58E+82 0.0000 -7.28E+800.2626562907 -0.018052079 1.9057188045 18.5 0.0000 1.53E+83 0.0000 2E+81

-1.4053153322 0.0156487173 1.9055986364 18.6 0.0000 -4.2E+83 0.0000 -5.48E+811.9811513105 -0.007783438 1.9059919003 18.7 0.0000 1.15E+84 0.0000 1.51E+82-1.816054817 -0.002423795 1.9054815387 18.8 0.0000 -3.17E+84 0.0000 -4.13E+821.0107010456 0.0111906737 1.9059198827 18.9 0.0000 8.7E+84 0.0000 1.13E+830.1108955926 -0.015462547 1.905706289 19 0.0000 -2.39E+85 0.0000 -3.12E+83

-1.1298163915 0.0139640649 1.9056313649 19.1 0.0000 6.56E+85 0.0000 8.55E+831.687401227 -0.007555364 1.9059518 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.6101420149 -0.00119555 1.9055142543 19.3 0.0000 4.94E+86 0.0000 6.45E+840.9613377617 0.0090272239 1.905905838 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

-0.0051508228 -0.013190215 1.9056976885 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.8991585283 0.0124016934 1.9056582624 19.6 0.0000 -1E+88 0.0000 -1.33E+861.4310683402 -0.007221866 1.9059172538 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.4212569272 -0.000249935 1.9055436638 19.8 0.0000 -7.71E+88 0.0000 -1E+870.9036680624 0.0072125674 1.9058917954 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.0919508816 -0.011204374 1.9056922051 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo2.9676093134 -1.958299899 2.96760931347.3088636275 7.5002821609 7.5002821609186.13108857 206.04024967 206.04024967

62.831853072

Page 273: Hojas de Calculo Fransua

0.0159154943635.68527106

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

83.957387466 2.1 2 0 0.0000 0 5.0000 5-300.10757968 7.3088636275 2.4704431814 0.1 5.0000 250.0566 3.6603 8.256614362.15662095 1.7102176444 2.921397245 0.2 8.6603 -837.3589 1.3397 -9.057642

-303.86228378 -0.785976275 2.9676093134 0.3 10.0000 2233.47 -1.3397 27.9842152.83524849 -0.367453336 2.9099378329 0.4 8.6603 -6244.01 -3.6603 -85.5545178.990818228 -7.500282161 2.5165510581 0.5 5.0000 17064.35 -5.0000 216.8326-45.74911698 -3.04180765 1.9894465675 0.6 0.0000 -46890.61 0.0000 -612.9178

-178.48651395 3.0787519225 1.9912937811 0.7 0.0000 129001.2 0.0000 1683.659326.28656527 -2.012470051 2.0446078747 0.8 0.0000 -354259 0.0000 -4622.764

-349.08292251 0.286310542 1.9582998993 0.9 0.0000 972642.8 0.0000 12691.83245.74508147 1.4452732734 2.04487909 1 0.0000 -2670386 0.0000 -34845.27

-60.319378706 -2.562656047 1.9890099513 1.1 0.0000 7331509 0.0000 95667.17-136.26277491 2.7006997704 1.9959121375 1.2 0.0000 -2E+07 0.0000 -262653273.06475707 -1.865052093 2.0376945214 1.3 0.0000 55262633 0.0000 721109.3

-304.51631482 0.4092951517 1.9649066743 1.4 0.0000 -1.52E+08 0.0000 -1979795225.28716679 1.1110645087 2.0409246574 1.5 0.0000 4.17E+08 0.0000 5435497

-69.932704369 -2.148623536 1.989046706 1.6 0.0000 -1.14E+09 0.0000-14923077-101.70596571 2.3594115415 1.9995861063 1.7 0.0000 3.14E+09 0.0000 40971085227.32545699 -1.714486886 2.0318323391 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-264.58195066 0.4925892514 1.9707374574 1.9 0.0000 2.37E+10 0.0000 3.09E+08205.11458818 0.836840705 2.0372089552 2 0.0000 -6.5E+10 0.0000 -8.48E+08-75.62661992 -1.792275965 1.9894371922 2.1 0.0000 1.78E+11 0.0000 2.33E+09

-73.635263127 2.0530057779 2.0024736829 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09188.17493001 -1.564806631 2.0268836402 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-228.97670866 0.5443643034 1.9758615238 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.59007129 0.6134463056 2.0337520542 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-78.262556925 -1.486803561 1.9900841915 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-51.026648414 1.7793222911 2.004710128 2.7 0.0000 7.64E+13 0.0000 9.97E+11154.80195649 -1.419012124 2.0227256363 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-197.38035488 0.5714188648 1.9803459734 2.9 0.0000 5.76E+14 0.0000 7.51E+12166.97131893 0.432929934 2.0305634133 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-78.551515386 -1.226010794 1.9909093703 3.1 0.0000 4.34E+15 0.0000 5.66E+13-32.995588433 1.5360386552 2.0064107634 3.2 0.0000 -1.19E+16 0.0000 -1.56E+14126.47458279 -1.279267086 2.0192493418 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-169.46673458 0.5793768898 1.984254832 3.4 0.0000 -9E+16 0.0000 -1.17E+15149.43182992 0.2884132765 2.0276443403 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-77.076522636 -1.00429557 1.9918502256 3.6 0.0000 -6.77E+17 0.0000 -8.84E+15-18.78106152 1.3207609476 2.0076734945 3.7 0.0000 1.86E+18 0.0000 2.43E+16102.53598091 -1.147061743 2.0163584548 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-144.91228167 0.5728615366 1.9876484445 3.9 0.0000 1.4E+19 0.0000 1.83E+17

Δůi

L4904
el tiempo lo vamos a variar
M4904
ESTE ES EL DATO QUE VA A VARIAR
O4904
este dato no es igual al de la segunda columna?
I4905
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N4905
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 274: Hojas de Calculo Fransua

133.07830405 0.1739697776 2.0249900102 4 0.0000 -3.85E+19 0.0000 -5E+17-74.312209087 -0.816620862 1.9928574559 4.1 0.0000 1.06E+20 0.0000 1.38E+18-7.7309344338 1.1310932459 2.0085810751 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1882.399729964 -1.023349822 2.0139682463 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-123.40233592 0.555646887 1.9905830996 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19117.96511569 0.0845132979 2.0225911088 4.5 0.0000 6E+21 0.0000 7.83E+19

-70.641803213 -0.658481303 1.9938927086 4.6 0.0000 -1.65E+22 0.0000 -2.15E+200.7113339521 0.9646897202 2.0092031295 4.7 0.0000 4.52E+22 0.0000 5.9E+2065.544766365 -0.90866272 2.0120044795 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-104.63568239 0.5307898559 1.9931108363 4.9 0.0000 3.41E+23 0.0000 4.45E+21104.1062801 0.0156966303 2.0204351606 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-66.371827739 -0.52586671 1.9949266566 5.1 0.0000 2.57E+24 0.0000 3.35E+227.0187090258 0.8192925677 2.0095979495 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2251.510194466 -0.80320409 2.0104023733 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-88.327661652 0.5007444263 1.9952793901 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2391.485284556 -0.036180416 2.0185075906 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-61.744757769 -0.415224114 1.9959373641 5.6 0.0000 -4E+26 0.0000 -5.23E+2411.591379478 0.692758528 2.0098140848 5.7 0.0000 1.1E+27 0.0000 1.44E+2539.890104574 -0.706927745 2.009105624 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-74.212142626 0.4674601853 1.997132246 5.9 0.0000 8.3E+27 0.0000 1.08E+2680.063108459 -0.074253787 2.0167925659 6 0.0000 -2.28E+28 0.0000 -3E+26

-56.949879969 -0.323419468 1.9969089031 6.1 0.0000 6.25E+28 0.0000 8.16E+2614.766412116 0.5830762751 2.0098917435 6.2 0.0000 -1.72E+29 0.0000 -2.24E+2730.328507991 -0.619601374 2.0080654885 6.3 0.0000 4.71E+29 0.0000 6.15E+27-62.04260118 0.4324669819 1.9987087689 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2869.784714528 -0.101169321 2.0152736519 6.5 0.0000 3.55E+30 0.0000 4.64E+28

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-51.592505719 0.3969473685 2.0000443906 6.9 0.0000 2.02E+32 0.0000 2.63E+3060.584255156 -0.119148829 2.0139343175 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-47.402189873 -0.185657555 1.9986939984 7.1 0.0000 1.52E+33 0.0000 1.99E+3118.006779154 0.4069369839 2.0097579698 7.2 0.0000 -4.18E+33 0.0000 -5.45E+3116.177487709 -0.470239014 2.0065928683 7.3 0.0000 1.15E+34 0.0000 1.5E+32

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-42.838769241 -0.135194309 1.9994961643 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3318.503118089 0.3371818495 2.0095955413 7.7 0.0000 6.52E+35 0.0000 8.5E+3311.083174396 -0.407224549 2.0060934063 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34

-35.043247008 0.3276836764 2.0021163627 7.9 0.0000 4.91E+36 0.0000 6.41E+3445.123596274 -0.135411729 2.0117299601 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-38.498651964 -0.09448967 2.0002348901 8.1 0.0000 3.7E+37 0.0000 4.83E+3518.476425929 0.2776796036 2.0093943868 8.2 0.0000 -1E+38 0.0000 -1.33E+367.0292285741 -0.351262424 2.0057152458 8.3 0.0000 2.79E+38 0.0000 3.64E+36

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3.841739315 -0.301787027 2.0054360746 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-23.137640877 0.2643052709 2.0035619868 8.9 0.0000 1.2E+41 0.0000 1.56E+3933.074033499 -0.134397509 2.0100573748 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-30.622883095 -0.036280658 2.0015234665 9.1 0.0000 9.01E+41 0.0000 1.18E+4017.356819861 0.1843937129 2.0089291192 9.2 0.0000 -2.47E+42 0.0000 -3.23E+401.3718021237 -0.258235078 2.005237051 9.3 0.0000 6.79E+42 0.0000 8.86E+40-18.55758493 0.2355672312 2.0041036586 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4128.140517028 -0.1299196 2.0093860402 9.5 0.0000 5.12E+43 0.0000 6.68E+41

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-18.359625494 0.018989423 2.0034125382 11.1 0.0000 5.33E+50 0.0000 6.96E+4813.193669182 0.0723238391 2.0079782013 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-3.5990775631 -0.13263956 2.0049624152 11.3 0.0000 4.02E+51 0.0000 5.25E+49-6.7437282346 0.1421266211 2.0054367683 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5014.093490681 -0.100247487 2.0075307249 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-15.989636932 0.0248665267 2.0037616769 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.06038008 0.0551732281 2.0077636647 11.7 0.0000 2.28E+53 0.0000 2.98E+51-4.03834223 -0.110982913 2.0049731804 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51

-4.977365928 0.1239628383 2.0056221767 11.9 0.0000 1.72E+54 0.0000 2.25E+5211.706348349 -0.091876818 2.0072264777 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-13.870379357 0.0287326462 2.0040692691 12.1 0.0000 1.3E+55 0.0000 1.69E+5310.95193367 0.0411405603 2.0075629294 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-4.2803667227 -0.09237381 2.0050012669 12.3 0.0000 9.78E+55 0.0000 1.28E+54-3.5473045674 0.107690167 2.0057670847 12.4 0.0000 -2.69E+56 0.0000 -3.51E+549.6664732672 -0.083629421 2.0069701221 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-11.984535164 0.031009427 2.0043391224 12.6 0.0000 -2E+57 0.0000 -2.64E+559.885960285 0.0297451797 2.0073768527 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-4.369460207 -0.076447812 2.0050417211 12.8 0.0000 -1.53E+58 0.0000 -2E+56-2.3999026838 0.093184201 2.0058785406 12.9 0.0000 4.19E+58 0.0000 5.47E+567.9306014456 -0.075651931 2.0067551541 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-10.314108676 0.0320468752 2.0045749013 13.1 0.0000 3.16E+59 0.0000 4.12E+578.8747493166 0.0205703199 2.0072057611 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-4.3421002439 -0.062874203 2.0050905669 13.3 0.0000 2.38E+60 0.0000 3.11E+58-1.4889000819 0.0803137269 2.0059625431 13.4 0.0000 -6.54E+60 0.0000 -8.53E+586.4597851396 -0.068048359 2.0065758114 13.5 0.0000 1.79E+61 0.0000 2.34E+59

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-8.8409838789 0.0321338078 2.0047800839 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.926325525 0.0132560378 2.0070495762 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-4.2281135987 -0.05135465 2.0051446456 13.8 0.0000 -3.71E+62 0.0000 -4.85E+60-0.7745607382 0.0689452586 2.006024176 13.9 0.0000 1.02E+63 0.0000 1.33E+615.2191478221 -0.06088855 2.0064270114 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-7.5473447157 0.0315069963 2.0049579338 14.1 0.0000 7.69E+63 0.0000 1E+627.0453469577 0.0074926976 2.0069079185 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-4.0517037958 -0.041621489 2.0052014789 14.3 0.0000 5.79E+64 0.0000 7.56E+62-0.222890407 0.0589464824 2.0060677286 14.4 0.0000 -1.59E+65 0.0000 -2.08E+634.1776130099 -0.054215256 2.0063042899 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-6.4159833984 0.0303591351 2.0051114838 14.6 0.0000 -1.2E+66 0.0000 -1.56E+646.2338499212 0.0030150071 2.0067801909 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-3.8323417696 -0.033435795 2.0052591515 14.8 0.0000 -9E+66 0.0000 -1.18E+650.1950729727 0.050188811 2.0060968023 14.9 0.0000 2.48E+67 0.0000 3.24E+653.3076193488 -0.048050023 2.0062037417 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-5.4305182172 0.0288457589 2.0052435285 15.1 0.0000 1.87E+68 0.0000 2.44E+665.4918633677 -0.000403403 2.0066656464 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-3.5855348064 -0.026585306 2.0053162109 15.3 0.0000 1.41E+69 0.0000 1.84E+670.5038990715 0.0425492177 2.0061144065 15.4 0.0000 -3.87E+69 0.0000 -5.05E+672.5848315423 -0.042398045 2.0061219651 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-4.5755388773 0.0270912232 2.005356624 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.8179122524 -0.002954875 2.0065634414 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.3234877774 -0.020882305 2.0053715824 15.8 0.0000 -2.2E+71 0.0000 -2.87E+690.7243389101 0.0359114885 2.0061230415 15.9 0.0000 6.04E+71 0.0000 7.88E+69

1.987854392 -0.037252161 2.0060560079 16 0.0000 -1.66E+72 0.0000 -2.16E+70-3.8366944289 0.0251938546 2.0054530926 16.1 0.0000 4.55E+72 0.0000 5.94E+704.2094268992 -0.004802132 2.0064726787 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.0556694665 -0.016161494 2.0054244974 16.3 0.0000 3.43E+73 0.0000 4.48E+710.873836778 0.0301670145 2.0061247734 16.4 0.0000 -9.42E+73 0.0000 -1.23E+72

1.4979553253 -0.032596111 2.0060033186 16.5 0.0000 2.59E+74 0.0000 3.37E+72-3.200736311 0.0232303686 2.0055350315 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.6630731577 -0.006082201 2.0063924399 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.7892956261 -0.012277928 2.0054744334 16.8 0.0000 -5.35E+75 0.0000 -7E+730.9669848273 0.025215221 2.0061212981 16.9 0.0000 1.47E+76 0.0000 1.92E+741.0987992553 -0.02840717 2.0059617006 17 0.0000 -4E+76 0.0000 -5.26E+74

-2.6555268512 0.0212596438 2.0056043243 17.1 0.0000 1.11E+77 0.0000 1.44E+753.1750161303 -0.006909922 2.0063218104 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5297392671 -0.009105025 2.005521063 17.3 0.0000 8.35E+77 0.0000 1.09E+761.0159249467 0.0209637159 2.0061139976 17.4 0.0000 -2.29E+78 0.0000 -3E+76

0.776198384 -0.024658259 2.0059292704 17.5 0.0000 6.29E+78 0.0000 8.21E+76-2.1900217113 0.019325932 2.0056626541 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.7411284675 -0.007381043 2.0062598985 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2808776169 -0.00653268 2.0055642123 17.8 0.0000 -1.3E+80 0.0000 -1.7E+781.0307024982 0.017328225 2.0061039896 17.9 0.0000 3.57E+80 0.0000 4.66E+780.5178785865 -0.021319626 2.0059044196 18 0.0000 -9.81E+80 0.0000 -1.28E+79

-1.7942331981 0.017461578 2.0057115172 18.1 0.0000 2.69E+81 0.0000 3.52E+792.3571526653 -0.007574949 2.0062058486 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-2.0453841754 -0.004465503 2.005603826 18.3 0.0000 2.03E+82 0.0000 2.65E+80

Page 277: Hojas de Calculo Fransua

1.0195763853 0.0142323682 2.0060921693 18.4 0.0000 -5.58E+82 0.0000 -7.28E+800.3132632413 -0.01836015 2.0058857802 18.5 0.0000 1.53E+83 0.0000 2E+81

-1.4591800337 0.0156893123 2.0057522383 18.6 0.0000 -4.2E+83 0.0000 -5.48E+812.0188254165 -0.007557065 2.0061588507 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.8249733648 -0.002821172 2.0056399388 18.8 0.0000 -3.17E+84 0.0000 -4.13E+820.9892897404 0.0116073223 2.0060792463 18.9 0.0000 8.7E+84 0.0000 1.13E+830.1532747836 -0.015748364 2.0058721942 19 0.0000 -2.39E+85 0.0000 -3.12E+83

-1.1768280662 0.0140241756 2.0057859848 19.1 0.0000 6.56E+85 0.0000 8.55E+831.7219708674 -0.007380949 2.0061181461 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.6206044067 -0.001528933 2.0056726521 19.3 0.0000 4.94E+86 0.0000 6.45E+840.9453052885 0.0093914057 2.0060657757 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

0.030153803 -0.013453211 2.0058626854 19.5 0.0000 3.72E+87 0.0000 4.86E+85-0.9400254718 0.0124751259 2.0058137811 19.6 0.0000 -1E+88 0.0000 -1.33E+86

1.462568577 -0.00709012 2.0060830314 19.7 0.0000 2.81E+88 0.0000 3.66E+86-1.4326502739 -0.000528211 2.0057021149 19.8 0.0000 -7.71E+88 0.0000 -1E+870.8920091908 0.0075296135 2.006052185 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.0627048233 -0.011444616 2.0058564348 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo3.0691285918 -2.05772698 3.06912859187.2324301242 7.4136336854 7.4136336854189.40247892 200.4385329 200.4385329

62.8318530720.0159154943636.15533906

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

80.414111857 2.2 2.1 0 0.0000 0 5.0000 5-290.96989007 7.2324301242 2.5716215062 0.1 5.0000 250.0566 3.6603 8.256614351.00701727 1.7370713377 3.0200965793 0.2 8.6603 -837.3589 1.3397 -9.057642

-294.80158029 -0.756431089 3.0691285918 0.3 10.0000 2233.47 -1.3397 27.9842148.98675147 -0.439661667 3.009323954 0.4 8.6603 -6244.01 -3.6603 -85.5545176.543478751 -7.413633685 2.6166591864 0.5 5.0000 17064.35 -5.0000 216.8326

-38.234968103 -3.111094194 2.0904227924 0.6 0.0000 -46890.61 0.0000 -612.9178-188.09529159 3.1068708308 2.0902116243 0.7 0.0000 129001.2 0.0000 1683.659334.43560432 -1.99167713 2.1459713094 0.8 0.0000 -354259 0.0000 -4622.764

-352.93963668 0.2267905462 2.0577269802 0.9 0.0000 972642.8 0.0000 12691.83

Δůi

L5126
el tiempo lo vamos a variar
M5126
ESTE ES EL DATO QUE VA A VARIAR
O5126
este dato no es igual al de la segunda columna?
I5127
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N5127
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 278: Hojas de Calculo Fransua

244.17122163 1.5200566038 2.1450693377 1 0.0000 -2670386 0.0000 -34845.27-54.182950467 -2.625098091 2.0898172633 1.1 0.0000 7331509 0.0000 95667.17-144.51067727 2.729160772 2.0950203974 1.2 0.0000 -2E+07 0.0000 -262653280.35555226 -1.851261751 2.1389153484 1.3 0.0000 55262633 0.0000 721109.3

-308.29613875 0.3605594752 2.0643802346 1.4 0.0000 -1.52E+08 0.0000 -1979795224.40137351 1.1753513775 2.1411757772 1.5 0.0000 4.17E+08 0.0000 5435497

-64.960228394 -2.204594982 2.089713597 1.6 0.0000 -1.14E+09 0.0000-14923077-108.75706671 2.387515914 2.0988596436 1.7 0.0000 3.14E+09 0.0000 40971085233.81649684 -1.706237945 2.132923542 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-268.22280025 0.452979702 2.0702606299 1.9 0.0000 2.37E+10 0.0000 3.09E+08204.76318378 0.8918821783 2.1375037239 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-71.632935366 -1.842196169 2.0899880244 2.1 0.0000 1.78E+11 0.0000 2.33E+09-79.638213146 2.0802379045 2.1018901111 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09193.92723912 -1.560885448 2.127857734 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-232.43507956 0.5124424989 2.0754355866 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.64645484 0.6603784234 2.1340766327 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-75.087915025 -1.531116888 2.0905397094 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-56.115345805 1.8053147908 2.1042496046 2.7 0.0000 7.64E+13 0.0000 9.97E+11159.87714485 -1.418416572 2.1235945155 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-200.62759444 0.5459420181 2.0799707878 2.9 0.0000 5.76E+14 0.0000 7.51E+12167.33189419 0.4727781279 2.1309067951 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-76.058639088 -1.265170775 2.0912871628 3.1 0.0000 4.34E+15 0.0000 5.66E+13-37.290000127 1.5605430766 2.1060557778 3.2 0.0000 -1.19E+16 0.0000 -1.56E+14130.93337218 -1.281175032 2.1200241801 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-172.48593008 0.5592754612 2.0839292015 3.4 0.0000 -9E+16 0.0000 -1.17E+15150.01246026 0.3220980598 2.1279978776 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-75.147920594 -1.038752832 2.0921651389 3.6 0.0000 -6.77E+17 0.0000 -8.84E+15-22.388137571 1.3436232592 2.1074086603 3.7 0.0000 1.86E+18 0.0000 2.43E+16106.43712041 -1.150803558 2.1170496454 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-147.69567693 0.5572187673 2.0873704058 3.9 0.0000 1.4E+19 0.0000 1.83E+17133.81123851 0.202313266 2.1253470075 4 0.0000 -3.85E+19 0.0000 -5E+17

-72.847737997 -0.846814156 2.093121963 4.1 0.0000 1.06E+20 0.0000 1.38E+18-10.745573239 1.1522334469 2.1083929275 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1885.799226244 -1.028384512 2.1145853743 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-125.94919945 0.5436801803 2.0903501577 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19118.79633385 0.1082462118 2.1229464773 4.5 0.0000 6E+21 0.0000 7.83E+19

-69.556468609 -0.684831037 2.0941172361 4.6 0.0000 -1.65E+22 0.0000 -2.15E+20-1.7946967292 0.9840849766 2.1090799331 4.7 0.0000 4.52E+22 0.0000 5.9E+2068.495366238 -0.914557277 2.112556318 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-106.95055944 0.5218339451 2.0929201515 4.9 0.0000 3.41E+23 0.0000 4.45E+21104.99320802 0.0354655068 2.1207851241 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-65.593810756 -0.548770503 2.0951198743 5.1 0.0000 2.57E+24 0.0000 3.35E+224.9475525306 0.8369633513 2.1095295167 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2254.061067572 -0.809615706 2.110896899 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-90.418951543 0.4942362417 2.0951279258 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2392.394837657 -0.019806009 2.1188494374 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-61.213653616 -0.435053954 2.0961064392 5.6 0.0000 -4E+26 0.0000 -5.23E+249.890511515 0.7087573029 2.1097916067 5.7 0.0000 1.1E+27 0.0000 1.44E+25

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42.086682749 -0.713588545 2.1095500446 5.8 0.0000 -3E+27 0.0000 -3.94E+25-76.090950249 0.4629253201 2.0970168833 5.9 0.0000 8.3E+27 0.0000 1.08E+2680.970021429 -0.06077419 2.1171244398 6 0.0000 -2.28E+28 0.0000 -3E+26

-56.615132887 -0.340520141 2.0970597233 6.1 0.0000 6.25E+28 0.0000 8.16E+2613.379489167 0.5974783356 2.1099076331 6.2 0.0000 -1.72E+29 0.0000 -2.24E+2732.212445451 -0.626305374 2.1084662811 6.3 0.0000 4.71E+29 0.0000 6.15E+27-63.72181861 0.4295076469 2.0986263948 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2870.670122197 -0.09014799 2.1155943776 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-51.952089723 -0.262388447 2.0979675557 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2915.704406402 0.5012727187 2.1099117693 6.7 0.0000 2.68E+31 0.0000 3.49E+2924.123693644 -0.547450281 2.1076028912 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29

-53.086085911 0.3952317213 2.0999919632 6.9 0.0000 2.02E+32 0.0000 2.63E+3061.434491842 -0.11020589 2.1142432548 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-47.341130135 -0.198223204 2.0988218001 7.1 0.0000 1.52E+33 0.0000 1.99E+3117.107459531 0.4184275672 2.1098320183 7.2 0.0000 -4.18E+33 0.0000 -5.45E+3117.546320807 -0.476605192 2.106923137 7.3 0.0000 1.15E+34 0.0000 1.5E+32

-43.977565483 0.3610510656 2.1011454307 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3253.194792724 -0.122854911 2.1130552385 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.868462706 -0.145899525 2.0996175167 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3317.78988727 0.347372362 2.1096911586 7.7 0.0000 6.52E+35 0.0000 8.5E+33

12.242495942 -0.413284523 2.1063955505 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34-36.208952809 0.3276777524 2.102115212 7.9 0.0000 4.91E+36 0.0000 6.41E+3445.878399745 -0.129682815 2.1120149588 8 0.0000 -1.35E+37 0.0000 -1.76E+35-38.59567411 -0.103571037 2.1003522662 8.1 0.0000 3.7E+37 0.0000 4.83E+3517.917920697 0.2866770242 2.1095075656 8.2 0.0000 -1E+38 0.0000 -1.33E+368.0066770604 -0.356962586 2.1059932875 8.3 0.0000 2.79E+38 0.0000 3.64E+36-29.61111795 0.2956276922 2.1029265429 8.4 0.0000 -7.66E+38 0.0000 -1E+3739.411040585 -0.132004074 2.1111077238 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-34.564584754 -0.069639709 2.1010255346 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3717.627993165 0.2350474477 2.1092959215 8.7 0.0000 1.59E+40 0.0000 2.07E+384.6619302804 -0.307094975 2.1056935451 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-24.03218428 0.2652587746 2.1036017351 8.9 0.0000 1.2E+41 0.0000 1.56E+3933.718808521 -0.130900176 2.1103196651 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-30.801310948 -0.042727914 2.1016382606 9.1 0.0000 9.01E+41 0.0000 1.18E+4017.031283795 0.1913192263 2.1090678262 9.2 0.0000 -2.47E+42 0.0000 -3.23E+402.0565570857 -0.263134991 2.105477038 9.3 0.0000 6.79E+42 0.0000 8.86E+40

-19.336467015 0.2368028358 2.1041604302 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4128.729662033 -0.127254834 2.1096378303 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-27.319645339 -0.021652753 2.102192451 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4216.217664028 0.154450163 2.1088323215 9.7 0.0000 3.86E+44 0.0000 5.04E+420.0610249866 -0.224545987 2.1053275303 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43

-15.403329594 0.2103923144 2.1046198467 9.9 0.0000 2.91E+45 0.0000 3.8E+4324.374507737 -0.121784615 2.1090502316 10 0.0000 -8E+45 0.0000 -1E+44

-24.123853991 -0.005402637 2.102690869 10.1 0.0000 2.19E+46 0.0000 2.86E+4415.25911214 0.1235120279 2.1085963386 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-1.4348084957 -0.1908104 2.10523142 10.3 0.0000 1.65E+47 0.0000 2.16E+45-12.126003156 0.1860823553 2.1049950178 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4520.587947953 -0.115065473 2.1085458619 10.5 0.0000 1.25E+48 0.0000 1.63E+46

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-21.210976339 0.0068839394 2.1031367853 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4614.212655761 0.0976819321 2.1083650788 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-2.5241923917 -0.161436104 2.1051773702 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-9.4104038109 0.1638690282 2.1052990164 10.9 0.0000 7.08E+49 0.0000 9.23E+4717.308761003 -0.10755565 2.1081146854 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-18.572703305 0.015937532 2.1035337795 11.1 0.0000 5.33E+50 0.0000 6.96E+4813.122897549 0.0762335987 2.108142336 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-3.2857157981 -0.135960622 2.1051559848 11.3 0.0000 4.02E+51 0.0000 5.25E+49-7.1739737078 0.143704244 2.1055431659 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5014.480171006 -0.099615365 2.1077476099 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-16.196899049 0.0223748912 2.1038855862 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5112.024174292 0.0585287451 2.107930768 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-3.7852962937 -0.113953639 2.1051595233 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-5.3445648968 0.1255078771 2.1057372352 11.9 0.0000 1.72E+54 0.0000 2.25E+5212.049954204 -0.091523666 2.1074364457 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-14.068823058 0.0267142554 2.1041959752 12.1 0.0000 1.3E+55 0.0000 1.69E+5310.942394974 0.0440087345 2.1077321247 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-4.0779419779 -0.095018191 2.1051816519 12.3 0.0000 9.78E+55 0.0000 1.28E+54-3.8593792626 0.1091775342 2.1058896191 12.4 0.0000 -2.69E+56 0.0000 -3.51E+54

9.970420578 -0.083492803 2.1071738556 12.5 0.0000 7.38E+56 0.0000 9.62E+54-12.172101492 0.0293889254 2.1044686617 12.6 0.0000 -2E+57 0.0000 -2.64E+559.8965988414 0.0321866081 2.1075474384 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-4.2093060255 -0.078790842 2.1052172267 12.8 0.0000 -1.53E+58 0.0000 -2E+56-2.6639732822 0.0945963494 2.1060075021 12.9 0.0000 4.19E+58 0.0000 5.47E+568.1983024537 -0.075680425 2.1069532983 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-10.489489829 0.0307592592 2.10470724 13.1 0.0000 3.16E+59 0.0000 4.12E+578.9002702053 0.0226395746 2.1073771817 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-4.2170523793 -0.064941091 2.1052621059 13.3 0.0000 2.38E+60 0.0000 3.11E+58-1.7113327615 0.0816391345 2.1060970081 13.4 0.0000 -6.54E+60 0.0000 -8.53E+586.6945758551 -0.068199897 2.10676897 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-9.0034627757 0.0311232263 2.1049151364 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.9624427545 0.0150020035 2.1072213979 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-4.1320505884 -0.05317022 2.1053129871 13.8 0.0000 -3.71E+62 0.0000 -4.85E+60-0.961019903 0.070177164 2.1061633342 13.9 0.0000 1.02E+63 0.0000 1.33E+615.4242353304 -0.061128976 2.1066157436 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-7.6966621277 0.0307256552 2.1050955776 14.1 0.0000 7.69E+63 0.0000 1E+627.0886224437 0.0089589465 2.1070798077 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-3.9794169617 -0.043209746 2.1053672677 14.3 0.0000 5.79E+64 0.0000 7.56E+62-0.3783929116 0.060081835 2.1062108721 14.4 0.0000 -1.59E+65 0.0000 -2.08E+634.3560387838 -0.054517077 2.10648911 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-6.5522285792 0.0297663038 2.1052515713 14.6 0.0000 -1.2E+66 0.0000 -1.56E+646.2815546349 0.0042401952 2.1069518963 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-3.7794182036 -0.034819611 2.1054229255 14.8 0.0000 -9E+66 0.0000 -1.18E+650.06610327 0.0512274053 2.1062433152 14.9 0.0000 2.48E+67 0.0000 3.24E+65

3.4622353386 -0.048391326 2.1063851192 15 0.0000 -6.81E+67 0.0000 -8.89E+65-5.5540394885 0.0284068739 2.1053858966 15.1 0.0000 1.87E+68 0.0000 2.44E+665.5418580781 0.0006148659 2.1068369836 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66-3.548252599 -0.027786213 2.1054784163 15.3 0.0000 1.41E+69 0.0000 1.84E+67

Page 281: Hojas de Calculo Fransua

0.3975776829 0.0434929829 2.1062637548 15.4 0.0000 -3.87E+69 0.0000 -5.05E+672.718286349 -0.042761567 2.1063003256 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-4.6868710849 0.0267770839 2.1055011014 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.86854551 -0.002113502 2.1067342805 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.2987226725 -0.021920366 2.1055325872 15.8 0.0000 -2.2E+71 0.0000 -2.87E+690.6372689426 0.0367639117 2.1062747644 15.9 0.0000 6.04E+71 0.0000 7.88E+692.1025872911 -0.037624497 2.1062317352 16 0.0000 -1.66E+72 0.0000 -2.16E+70

-3.9365005963 0.0249799056 2.1055995056 16.1 0.0000 4.55E+72 0.0000 5.94E+704.2594481298 -0.004111357 2.106642933 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.0408120826 -0.017055243 2.105584603 16.3 0.0000 3.43E+73 0.0000 4.48E+710.8030596574 0.0309326739 2.1062784746 16.4 0.0000 -9.42E+73 0.0000 -1.23E+72

1.596196298 -0.032967031 2.1061767567 16.5 0.0000 2.59E+74 0.0000 3.37E+72-3.2897611816 0.0230960622 2.1056832083 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.7115589437 -0.005519089 2.106562057 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.7821783748 -0.013044352 2.1056338849 16.8 0.0000 -5.35E+75 0.0000 -7E+730.9099339561 0.0258994136 2.106276638 16.9 0.0000 1.47E+76 0.0000 1.92E+741.1825735185 -0.028769042 2.1061331566 17 0.0000 -4E+76 0.0000 -5.26E+74

-2.7345603351 0.0211878764 2.1057540983 17.1 0.0000 1.11E+77 0.0000 1.44E+753.2213079557 -0.006454546 2.1064907648 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5285721067 -0.009759588 2.1056800581 17.3 0.0000 8.35E+77 0.0000 1.09E+760.9703825567 0.0215721631 2.1062706869 17.4 0.0000 -2.29E+78 0.0000 -3E+760.8473341923 -0.025005563 2.1060990169 17.5 0.0000 6.29E+78 0.0000 8.21E+76

-2.2598705367 0.0193025474 2.1058138661 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.7847803895 -0.007016159 2.1064281855 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2841918065 -0.007089373 2.1057229089 17.8 0.0000 -1.3E+80 0.0000 -1.7E+780.9947598246 0.0178668426 2.1062617824 17.9 0.0000 3.57E+80 0.0000 4.66E+780.5780173159 -0.021648541 2.1060726975 18 0.0000 -9.81E+80 0.0000 -1.28E+79

-1.8556993181 0.0174749323 2.105864017 18.1 0.0000 2.69E+81 0.0000 3.52E+792.3978875459 -0.007285694 2.1063734789 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-2.0519832326 -0.00493691 2.1057623487 18.3 0.0000 2.03E+82 0.0000 2.65E+800.9915971868 0.0147070904 2.1062508577 18.4 0.0000 -5.58E+82 0.0000 -7.28E+800.3638709659 -0.018668212 2.1060528017 18.5 0.0000 1.53E+83 0.0000 2E+81-1.513044557 0.015729894 2.1059058858 18.6 0.0000 -4.2E+83 0.0000 -5.48E+812.0564985092 -0.00733068 2.1063258465 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.8338904735 -0.003218556 2.1057983847 18.8 0.0000 -3.17E+84 0.0000 -4.13E+820.967877109 0.0120239692 2.1062386554 18.9 0.0000 8.7E+84 0.0000 1.13E+83

0.1956547199 -0.016034174 2.1060381451 19 0.0000 -2.39E+85 0.0000 -3.12E+83-1.2238396714 0.0140842751 2.1059406502 19.1 0.0000 6.56E+85 0.0000 8.55E+831.7565396942 -0.007206524 2.1062845378 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.6310655735 -0.001862322 2.1058310955 19.3 0.0000 4.94E+86 0.0000 6.45E+840.9292716403 0.0097555867 2.1062257588 19.4 0.0000 -1.36E+87 0.0000 -1.77E+850.0654591365 -0.013716202 2.106027728 19.5 0.0000 3.72E+87 0.0000 4.86E+85

-0.9808924288 0.0125485488 2.1059693454 19.6 0.0000 -1E+88 0.0000 -1.33E+861.4940681671 -0.006958365 2.1062488546 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.4440425823 -0.000806493 2.1058606117 19.8 0.0000 -7.71E+88 0.0000 -1E+870.8803492826 0.0078466594 2.10621262 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.0334581007 -0.011684854 2.1060207103 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Page 282: Hojas de Calculo Fransua

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo3.170647902 -2.157154133 3.170647902

7.1559982179 7.3269850552 7.3269850552192.67377239 194.83675207 194.83675207

62.8318530720.0159154943636.63653987

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

76.870511001 2.3 2.2 0 0.0000 0 5.0000 5-281.83198975 7.1559982179 2.6727999109 0.1 5.0000 250.0566 3.6603 8.256614339.85738634 1.7639224982 3.1187959467 0.2 8.6603 -837.3589 1.3397 -9.057642

-285.74103245 -0.726883393 3.170647902 0.3 10.0000 2233.47 -1.3397 27.9842145.13852705 -0.511871589 3.1087101529 0.4 8.6603 -6244.01 -3.6603 -85.5545174.095853782 -7.326985055 2.7167673207 0.5 5.0000 17064.35 -5.0000 216.8326

-30.720623684 -3.18037948 2.1913990939 0.6 0.0000 -46890.61 0.0000 -612.9178-197.70410995 3.1349876001 2.1891294999 0.7 0.0000 129001.2 0.0000 1683.659342.58452338 -1.970882001 2.2473347799 0.8 0.0000 -354259 0.0000 -4622.764

-356.79612212 0.1672690687 2.1571541332 0.9 0.0000 972642.8 0.0000 12691.83242.59711223 1.5948402015 2.2452595967 1 0.0000 -2670386 0.0000 -34845.27

-48.046342258 -2.687539161 2.1906246488 1.1 0.0000 7331509 0.0000 95667.17-152.75862953 2.7576199755 2.1941286895 1.2 0.0000 -2E+07 0.0000 -262653287.64625677 -1.837469478 2.2401362144 1.3 0.0000 55262633 0.0000 721109.3

-312.07577172 0.3118224311 2.1638538621 1.4 0.0000 -1.52E+08 0.0000 -1979795223.51536294 1.2396385921 2.2414269133 1.5 0.0000 4.17E+08 0.0000 5435497

-59.987587987 -2.260565686 2.1903805585 1.6 0.0000 -1.14E+09 0.0000-14923077-115.80822344 2.4156187826 2.1981332134 1.7 0.0000 3.14E+09 0.0000 40971085240.30746988 -1.69798732 2.2340147865 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08-271.8634913 0.4133688997 2.1697838655 1.9 0.0000 2.37E+10 0.0000 3.09E+08204.41159094 0.9469240488 2.2377985129 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-67.639101558 -1.89211582 2.1905389243 2.1 0.0000 1.78E+11 0.0000 2.33E+09-85.64122205 2.1074687798 2.2013065723 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09199.67950076 -1.556962801 2.2288318713 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-235.89331959 0.4805195546 2.175009709 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.70267561 0.7073109682 2.2344012351 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-71.913138452 -1.575429817 2.1909952927 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-61.204103178 1.8313062554 2.2037891146 2.7 0.0000 7.64E+13 0.0000 9.97E+11

Δůi

L5348
el tiempo lo vamos a variar
M5348
ESTE ES EL DATO QUE VA A VARIAR
O5348
este dato no es igual al de la segunda columna?
I5349
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N5349
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 283: Hojas de Calculo Fransua

164.95230124 -1.417819754 2.2244634397 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12-203.87472669 0.5204641406 2.179595659 2.9 0.0000 5.76E+14 0.0000 7.51E+12167.69232939 0.512626762 2.2312502042 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-73.565641935 -1.304330482 2.1916650182 3.1 0.0000 4.34E+15 0.0000 5.66E+13-41.584471333 1.5850466471 2.2057008265 3.2 0.0000 -1.19E+16 0.0000 -1.56E+14135.39214189 -1.283081888 2.2207990644 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-175.50503821 0.5391731059 2.1836036254 3.4 0.0000 -9E+16 0.0000 -1.17E+15150.5929706 0.3557832837 2.2283514448 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-73.219210651 -1.073209919 2.1924801131 3.6 0.0000 -6.77E+17 0.0000 -8.84E+15-25.995271501 1.366484876 2.2071438609 3.7 0.0000 1.86E+18 0.0000 2.43E+16110.33824987 -1.154544437 2.2177408829 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-150.47900165 0.541575169 2.1870924195 3.9 0.0000 1.4E+19 0.0000 1.83E+17134.54407055 0.2306571858 2.2257040373 4 0.0000 -3.85E+19 0.0000 -5E+17

-71.383171028 -0.877007353 2.1933865289 4.1 0.0000 1.06E+20 0.0000 1.38E+18-13.760267452 1.1733730852 2.2082048156 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1889.198719918 -1.033418401 2.2152025498 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-128.49600655 0.5317127357 2.1901172665 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19119.62746497 0.1319795409 2.2233018803 4.5 0.0000 6E+21 0.0000 7.83E+19

-68.471049196 -0.711180733 2.1943418207 4.6 0.0000 -1.65E+22 0.0000 -2.15E+20-4.3007797758 1.0034797813 2.2089567731 4.7 0.0000 4.52E+22 0.0000 5.9E+2071.445969127 -0.920451153 2.2131082045 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-109.26539186 0.5128773806 2.1927295159 4.9 0.0000 3.41E+23 0.0000 4.45E+21105.8800623 0.0552347776 2.2211351238 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-64.815719082 -0.571674304 2.1953131475 5.1 0.0000 2.57E+24 0.0000 3.35E+222.8763470765 0.8546337761 2.2094611212 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2256.611947839 -0.816026745 2.2113914727 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-92.510206584 0.4877274805 2.1949765095 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2393.304328723 -0.003431232 2.219191322 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-60.682483956 -0.454883837 2.1962755686 5.6 0.0000 -4E+26 0.0000 -5.23E+248.1895981988 0.7247557962 2.2097691665 5.7 0.0000 1.1E+27 0.0000 1.44E+2544.283271036 -0.720248859 2.2099945134 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-77.969731106 0.4583899483 2.1969015679 5.9 0.0000 8.3E+27 0.0000 1.08E+2681.876882398 -0.047294248 2.2174563529 6 0.0000 -2.28E+28 0.0000 -3E+26

-56.280328588 -0.35762088 2.1972105965 6.1 0.0000 6.25E+28 0.0000 8.16E+2611.992524541 0.6118801784 2.2099235614 6.2 0.0000 -1.72E+29 0.0000 -2.24E+2734.096395015 -0.633008965 2.208867122 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-65.401015903 0.4265478688 2.1985440672 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2871.555486502 -0.079126342 2.2159151436 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-51.771559028 -0.277077022 2.1981049754 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2914.582432939 0.5141686713 2.2099595579 6.7 0.0000 2.68E+31 0.0000 3.49E+2925.732931841 -0.55404194 2.2079658944 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29

-54.579651364 0.3935156881 2.1999395818 6.9 0.0000 2.02E+32 0.0000 2.63E+3062.284692564 -0.10126266 2.2145522332 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-47.280027264 -0.210788948 2.1989496528 7.1 0.0000 1.52E+33 0.0000 1.99E+3116.208105435 0.4299180282 2.2099061068 7.2 0.0000 -4.18E+33 0.0000 -5.45E+3118.915167874 -0.482971087 2.2072534539 7.3 0.0000 1.15E+34 0.0000 1.5E+32

-45.299945101 0.3603034641 2.2011200728 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3254.000351416 -0.115660847 2.2133522036 7.5 0.0000 8.65E+34 0.0000 1.13E+33

Page 284: Hojas de Calculo Fransua

-42.898118944 -0.156604842 2.1997389192 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3317.076625381 0.3575627871 2.2097868165 7.7 0.0000 6.52E+35 0.0000 8.5E+3313.401831632 -0.419344262 2.2066977427 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34

-37.374651721 0.3276715388 2.2021141065 7.9 0.0000 4.91E+36 0.0000 6.41E+3446.63317894 -0.123953665 2.2123000002 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-38.692664251 -0.112652507 2.2004696917 8.1 0.0000 3.7E+37 0.0000 4.83E+3517.359387614 0.2956743852 2.2096207856 8.2 0.0000 -1E+38 0.0000 -1.33E+368.9841395169 -0.362662555 2.2062713771 8.3 0.0000 2.79E+38 0.0000 3.64E+36

-30.634373236 0.2961768621 2.2029470925 8.4 0.0000 -7.66E+38 0.0000 -1E+3740.111537134 -0.127495407 2.2113811653 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-34.709915034 -0.077309482 2.2011409208 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3717.197368123 0.2429575491 2.2094233242 8.7 0.0000 1.59E+40 0.0000 2.07E+385.4821347851 -0.312402766 2.2059510634 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38

-24.926725712 0.2662120645 2.2036415283 8.9 0.0000 1.2E+41 0.0000 1.56E+3934.363567638 -0.127402651 2.210581999 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-30.979715434 -0.049175271 2.2017531028 9.1 0.0000 9.01E+41 0.0000 1.18E+4016.705725676 0.1982447198 2.2092065753 9.2 0.0000 -2.47E+42 0.0000 -3.23E+402.7413249727 -0.268034777 2.2057170724 9.3 0.0000 6.79E+42 0.0000 8.86E+40

-20.115348787 0.2380382578 2.2042172464 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4129.318794343 -0.124589898 2.2098896644 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-27.518978704 -0.027045775 2.2023078808 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4215.977804025 0.1604891288 2.2089800484 9.7 0.0000 3.86E+44 0.0000 5.04E+420.6296152456 -0.229034701 2.2055527698 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43

-16.078818852 0.2118124328 2.2046916564 9.9 0.0000 2.91E+45 0.0000 3.8E+4324.909293869 -0.119800614 2.2092922474 10 0.0000 -8E+45 0.0000 -1E+44

-24.334569554 -0.00988991 2.2028077212 10.1 0.0000 2.19E+46 0.0000 2.86E+4415.088599032 0.1287570105 2.2087510763 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-0.9654705914 -0.194894596 2.205444197 10.3 0.0000 1.65E+47 0.0000 2.16E+45-12.709513459 0.1876102203 2.2050799782 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4521.070517217 -0.113634166 2.2087787809 10.5 0.0000 1.25E+48 0.0000 1.63E+46-21.42567919 0.003171635 2.2032556544 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4614.097750375 0.1022193375 2.208525203 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-2.1392938075 -0.165129401 2.2053796998 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-9.9124636739 0.1654446896 2.2053954643 10.9 0.0000 7.08E+49 0.0000 9.23E+4717.741832462 -0.106569094 2.2083392441 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-18.785769297 0.0128855613 2.2036550674 11.1 0.0000 5.33E+50 0.0000 6.96E+4813.052112801 0.0801433751 2.2083065142 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-2.9723443845 -0.139281636 2.2053496012 11.3 0.0000 4.02E+51 0.0000 5.25E+49-7.6042221064 0.1452817738 2.2056496081 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5014.866846865 -0.098983141 2.2079645397 11.5 0.0000 3.03E+52 0.0000 3.96E+50-16.40415132 0.0198831823 2.2040095418 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5111.987957102 0.0618842826 2.208097915 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-3.5322415661 -0.116924328 2.2053459128 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-5.7117670497 0.1270528383 2.2058523383 11.9 0.0000 1.72E+54 0.0000 2.25E+5212.393556813 -0.091170426 2.2076464589 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-14.267258603 0.0246957974 2.2043227275 12.1 0.0000 1.3E+55 0.0000 1.69E+5310.932846407 0.0468769316 2.2079013639 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-3.8755092729 -0.097662544 2.2053620833 12.3 0.0000 9.78E+55 0.0000 1.28E+54

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-4.1714572671 0.1106648369 2.2060121979 12.4 0.0000 -2.69E+56 0.0000 -3.51E+5410.274365625 -0.083356109 2.2073776343 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-12.359661107 0.0277683629 2.204598247 12.6 0.0000 -2E+57 0.0000 -2.64E+559.9072288846 0.0346280608 2.2077180682 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-4.0491446778 -0.081133852 2.2053927786 12.8 0.0000 -1.53E+58 0.0000 -2E+56-2.9280472125 0.0960084446 2.2061365082 12.9 0.0000 4.19E+58 0.0000 5.47E+56

8.466001983 -0.075708853 2.2071514878 13 0.0000 -1.15E+59 0.0000 -1.5E+57-10.664865491 0.0294715883 2.2048396246 13.1 0.0000 3.16E+59 0.0000 4.12E+578.9257837814 0.024708854 2.2075486467 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

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-9.1659372171 0.0301125954 2.2050502347 13.6 0.0000 -4.93E+61 0.0000 -6.43E+597.998553728 0.0167479935 2.2073932641 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-4.0359818599 -0.054985783 2.2054813746 13.8 0.0000 -3.71E+62 0.0000 -4.85E+60-1.1474822331 0.071409034 2.2063025372 13.9 0.0000 1.02E+63 0.0000 1.33E+615.6293224623 -0.061369354 2.2068045212 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-7.8459759554 0.0299442701 2.205233267 14.1 0.0000 7.69E+63 0.0000 1E+627.1318925996 0.0104252192 2.2072517415 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-3.9071250563 -0.044798 2.2055331024 14.3 0.0000 5.79E+64 0.0000 7.56E+62-0.5338984297 0.061217159 2.2063540604 14.4 0.0000 -1.59E+65 0.0000 -2.08E+634.5344645511 -0.054818857 2.2066739755 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-6.6884709053 0.0291734334 2.2053917044 14.6 0.0000 -1.2E+66 0.0000 -1.56E+646.3292548268 0.005465406 2.2071236463 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-3.7264901598 -0.036203425 2.2055867454 14.8 0.0000 -9E+66 0.0000 -1.18E+65-0.0628692676 0.0522659766 2.2063898729 14.9 0.0000 2.48E+67 0.0000 3.24E+653.6168515987 -0.048732593 2.2065665421 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-5.6775585128 0.0279679543 2.2055283102 15.1 0.0000 1.87E+68 0.0000 2.44E+665.5918489694 0.0016331558 2.2070083657 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-3.5109664548 -0.02898712 2.2056406675 15.3 0.0000 1.41E+69 0.0000 1.84E+670.2912536542 0.0444367301 2.206413148 15.4 0.0000 -3.87E+69 0.0000 -5.05E+672.8517416276 -0.04312506 2.2064787315 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-4.7982015491 0.0264629141 2.2056456242 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.919175557 -0.001272108 2.2069051645 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.2739541205 -0.02295843 2.2056936376 15.8 0.0000 -2.2E+71 0.0000 -2.87E+690.5501965376 0.0376163207 2.2064265322 15.9 0.0000 6.04E+71 0.0000 7.88E+692.2173208029 -0.037996808 2.2064075078 16 0.0000 -1.66E+72 0.0000 -2.16E+70-4.036305435 0.0247659298 2.2057459639 16.1 0.0000 4.55E+72 0.0000 5.94E+704.3094666747 -0.003420564 2.2068132322 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.0259516927 -0.017948995 2.2057447542 16.3 0.0000 3.43E+73 0.0000 4.48E+710.7322803036 0.0316983224 2.2064322206 16.4 0.0000 -9.42E+73 0.0000 -1.23E+721.6944379757 -0.03333793 2.2063502402 16.5 0.0000 2.59E+74 0.0000 3.37E+72

-3.3787850628 0.0229617326 2.2058314304 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.7600424949 -0.00495596 2.206731719 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.7750585127 -0.01381078 2.205793382 16.8 0.0000 -5.35E+75 0.0000 -7E+730.8528810529 0.026583598 2.2064320229 16.9 0.0000 1.47E+76 0.0000 1.92E+741.2663485406 -0.029130896 2.206304658 17 0.0000 -4E+76 0.0000 -5.26E+74-2.813593105 0.0211160886 2.2059039176 17.1 0.0000 1.11E+77 0.0000 1.44E+75

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3.2675979322 -0.005999154 2.2066597643 17.2 0.0000 -3E+77 0.0000 -4E+75-2.5274026875 -0.010414156 2.2058390988 17.3 0.0000 8.35E+77 0.0000 1.09E+76

0.924838329 0.0221806043 2.2064274212 17.4 0.0000 -2.29E+78 0.0000 -3E+760.9184707834 -0.025352853 2.2062688087 17.5 0.0000 6.29E+78 0.0000 8.21E+76

-2.3297188697 0.0192791451 2.2059651234 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.8284307913 -0.006651261 2.2065965176 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2875040497 -0.007646071 2.205881651 17.8 0.0000 -1.3E+80 0.0000 -1.7E+780.9588154986 0.018405456 2.2064196202 17.9 0.0000 3.57E+80 0.0000 4.66E+780.6381568294 -0.021977444 2.2062410208 18 0.0000 -9.81E+80 0.0000 -1.28E+79

-1.9171651221 0.0174882714 2.2060165621 18.1 0.0000 2.69E+81 0.0000 3.52E+792.4386211854 -0.006996427 2.2065411543 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-2.0585806193 -0.005408323 2.2059209168 18.3 0.0000 2.03E+82 0.0000 2.65E+800.9636165099 0.0151818098 2.2064095912 18.4 0.0000 -5.58E+82 0.0000 -7.28E+800.4144794586 -0.018976263 2.2062198685 18.5 0.0000 1.53E+83 0.0000 2E+81

-1.5669089034 0.0157704628 2.2060595785 18.6 0.0000 -4.2E+83 0.0000 -5.48E+812.0941705963 -0.007104284 2.2064928875 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.8428061543 -0.003615946 2.205956876 18.8 0.0000 -3.17E+84 0.0000 -4.13E+820.9464631616 0.0124406145 2.2063981094 18.9 0.0000 8.7E+84 0.0000 1.13E+830.2380353957 -0.016319975 2.2062041414 19 0.0000 -2.39E+85 0.0000 -3.12E+83

-1.2708512077 0.0141443635 2.2060953609 19.1 0.0000 6.56E+85 0.0000 8.55E+831.7911077136 -0.007032089 2.2064509746 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.6415255247 -0.002195716 2.2059895844 19.3 0.0000 4.94E+86 0.0000 6.45E+840.913236826 0.010119767 2.206385787 19.4 0.0000 -1.36E+87 0.0000 -1.77E+85

0.1007651723 -0.013979185 2.206192816 19.5 0.0000 3.72E+87 0.0000 4.86E+85-1.0217593991 0.0126219622 2.2061249549 19.6 0.0000 -1E+88 0.0000 -1.33E+861.5255671157 -0.006826602 2.2064147229 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.4554338604 -0.00108478 2.2060191539 19.8 0.0000 -7.71E+88 0.0000 -1E+870.8686883457 0.0081637052 2.2063731001 19.9 0.0000 2.12E+89 0.0000 2.76E+87

-0.0042107189 -0.011925086 2.2061850311 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo3.2721672439 -2.256581358 3.27216724397.0795678959 7.2403362716 7.2403362716195.94496974 189.23490769 195.94496974

62.8318530720.0159154943637.12878338

NO ESTABLE

Δůi

Page 287: Hojas de Calculo Fransua

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

73.326587463 2.4 2.3 0 0.0000 0 5.0000 5-272.69388038 7.0795678959 2.7739783948 0.1 5.0000 250.0566 3.6603 8.256614328.70772837 1.7907711456 3.2174953469 0.2 8.6603 -837.3589 1.3397 -9.057642

-276.68063903 -0.697333206 3.2721672439 0.3 10.0000 2233.47 -1.3397 27.9842141.29057309 -0.58408309 3.2080964291 0.4 8.6603 -6244.01 -3.6603 -85.5545171.647945573 -7.240336272 2.816875461 0.5 5.0000 17064.35 -5.0000 216.8326

-23.206085264 -3.24966352 2.2923754714 0.6 0.0000 -46890.61 0.0000 -612.9178-207.31296869 3.1631022471 2.2880474078 0.7 0.0000 129001.2 0.0000 1683.659

350.7333234 -1.950084684 2.348698286 0.8 0.0000 -354259 0.0000 -4622.764-360.65238063 0.1077461211 2.2565813579 0.9 0.0000 972642.8 0.0000 12691.83241.02275522 1.6696240643 2.3454498671 1 0.0000 -2670386 0.0000 -34845.27

-41.909555499 -2.749979263 2.2914321072 1.1 0.0000 7331509 0.0000 95667.17-161.00663131 2.7860773952 2.2932370138 1.2 0.0000 -2E+07 0.0000 -262653

294.9368713 -1.823675287 2.3413571192 1.3 0.0000 55262633 0.0000 721109.3-315.85521525 0.26308403 2.2633275563 1.4 0.0000 -1.52E+08 0.0000 -1979795222.62913678 1.3039261497 2.3416780653 1.5 0.0000 4.17E+08 0.0000 5435497

-55.014784446 -2.316535654 2.2910475901 1.6 0.0000 -1.14E+09 0.0000-14923077-122.85943546 2.4437201592 2.2974068154 1.7 0.0000 3.14E+09 0.0000 40971085246.79837666 -1.689735023 2.3351060722 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-275.50402504 0.3737568545 2.2693071637 1.9 0.0000 2.37E+10 0.0000 3.09E+08204.05981114 1.0019663131 2.3380933221 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-63.645119673 -1.942034923 2.2910898916 2.1 0.0000 1.78E+11 0.0000 2.33E+09-91.644289376 2.1346984137 2.3007230661 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09205.43171531 -1.553038702 2.3298060517 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-239.35142979 0.4485954794 2.2745838906 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.75873489 0.7542439367 2.3347258614 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-68.738228267 -1.619742351 2.2914509407 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-66.292920061 1.857296693 2.3033286578 2.7 0.0000 7.64E+13 0.0000 9.97E+11170.02742592 -1.41722168 2.3253324085 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-207.12175247 0.4949852406 2.2792205865 2.9 0.0000 5.76E+14 0.0000 7.51E+12168.05262565 0.5524758329 2.3315936402 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-71.072524883 -1.343489916 2.2920429361 3.1 0.0000 4.34E+15 0.0000 5.66E+13-45.879001582 1.6095493733 2.3053459089 3.2 0.0000 -1.19E+16 0.0000 -1.56E+14

139.8508921 -1.284987661 2.3215739946 3.3 0.0000 3.27E+16 0.0000 4.27E+14-178.52405966 0.5190698311 2.2832781031 3.4 0.0000 -9E+16 0.0000 -1.17E+15151.17336187 0.3894689449 2.3287050419 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-71.290393658 -1.107666831 2.2927951476 3.6 0.0000 -6.77E+17 0.0000 -8.84E+15-29.602462853 1.3893458036 2.3068790962 3.7 0.0000 1.86E+18 0.0000 2.43E+16114.23936938 -1.158284387 2.318432167 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-153.26225638 0.5259307482 2.2868144851 3.9 0.0000 1.4E+19 0.0000 1.83E+17135.27680097 0.2590015338 2.3260610992 4 0.0000 -3.85E+19 0.0000 -5E+17

-69.918508939 -0.907200451 2.2936511533 4.1 0.0000 1.06E+20 0.0000 1.38E+18-16.775016637 1.1945121652 2.308016739 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1892.598211009 -1.038451497 2.3158197724 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-131.04275767 0.5197445591 2.2898844255 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19120.45850973 0.1557132821 2.3236573176 4.5 0.0000 6E+21 0.0000 7.83E+19

L5570
el tiempo lo vamos a variar
M5570
ESTE ES EL DATO QUE VA A VARIAR
O5570
este dato no es igual al de la segunda columna?
I5571
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N5571
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 288: Hojas de Calculo Fransua

-67.385545645 -0.737530392 2.294566462 4.6 0.0000 -1.65E+22 0.0000 -2.15E+20-6.806914775 1.0228741379 2.3088336493 4.7 0.0000 4.52E+22 0.0000 5.9E+2074.396575009 -0.926344353 2.3136601386 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-111.58017998 0.5039201675 2.2925389293 4.9 0.0000 3.41E+23 0.0000 4.45E+21106.7668435 0.0750044395 2.3214851596 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-64.037553306 -0.594578113 2.295506476 5.1 0.0000 2.57E+24 0.0000 3.35E+220.8050930494 0.8723038448 2.3093927626 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2259.162835211 -0.822437211 2.3118860943 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-94.601427052 0.4812181471 2.2948251411 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2394.213758242 0.0129439128 2.3195332441 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-60.151249307 -0.474713762 2.2964447517 5.6 0.0000 -4E+26 0.0000 -5.23E+246.4886398865 0.74075401 2.3097467641 5.7 0.0000 1.1E+27 0.0000 1.44E+2546.479869355 -0.726908689 2.3104390301 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-79.848485407 0.453854074 2.2967862994 5.9 0.0000 8.3E+27 0.0000 1.08E+2682.783691777 -0.033813966 2.3177883048 6 0.0000 -2.28E+28 0.0000 -3E+26

-55.945467522 -0.374721687 2.2973615222 6.1 0.0000 6.25E+28 0.0000 8.16E+2610.605518567 0.6262818052 2.3099395281 6.2 0.0000 -1.72E+29 0.0000 -2.24E+2735.980356587 -0.639712151 2.3092680108 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-67.080193217 0.423587651 2.2984617859 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2872.440807783 -0.068104379 2.3162359495 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-51.590978947 -0.29176568 2.2982424465 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2913.460421751 0.52706446 2.3100073855 6.7 0.0000 2.68E+31 0.0000 3.49E+2927.342183266 -0.560633259 2.3083289455 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29

-56.073202194 0.3917992718 2.2998872461 6.9 0.0000 2.02E+32 0.0000 2.63E+3063.134857605 -0.092319143 2.3148612526 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-47.2188816 -0.223354788 2.299077556 7.1 0.0000 1.52E+33 0.0000 1.99E+3115.308717138 0.441408368 2.309980235 7.2 0.0000 -4.18E+33 0.0000 -5.45E+31

20.2840288 -0.489336699 2.3075838185 7.3 0.0000 1.15E+34 0.0000 1.5E+32-46.622314422 0.3595555301 2.30109476 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3254.805880696 -0.108466521 2.3136492104 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.927738246 -0.167310259 2.2998603714 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3316.363332668 0.3677531253 2.3098825147 7.7 0.0000 6.52E+35 0.0000 8.5E+3314.561181354 -0.425403769 2.3069999825 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34

-38.540343798 0.3276650378 2.302113046 7.9 0.0000 4.91E+36 0.0000 6.41E+3447.387934049 -0.118224278 2.312585084 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-38.789622641 -0.12173408 2.3005871661 8.1 0.0000 3.7E+37 0.0000 4.83E+3516.800826899 0.3046716872 2.3097340464 8.2 0.0000 -1E+38 0.0000 -1.33E+369.9616158335 -0.368362332 2.3065495142 8.3 0.0000 2.79E+38 0.0000 3.64E+36

-31.657624428 0.2967257847 2.3029676868 8.4 0.0000 -7.66E+38 0.0000 -1E+3740.812014106 -0.122986528 2.3116546496 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-34.855218128 -0.084979357 2.3012563554 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3716.766718435 0.2508676134 2.3095507682 8.7 0.0000 1.59E+40 0.0000 2.07E+386.3023527222 -0.317710401 2.3062086288 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38

-25.821265188 0.2671651424 2.3036813659 8.9 0.0000 1.2E+41 0.0000 1.56E+3935.008310977 -0.123904938 2.3108443762 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-31.158096737 -0.055622728 2.3018679929 9.1 0.0000 9.01E+41 0.0000 1.18E+4016.380145678 0.2051701935 2.3093453662 9.2 0.0000 -2.47E+42 0.0000 -3.23E+403.4261056829 -0.272934438 2.3059571539 9.3 0.0000 6.79E+42 0.0000 8.86E+40

Page 289: Hojas de Calculo Fransua

-20.89423025 0.2392734987 2.304274107 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4129.907914059 -0.121924793 2.3101415423 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-27.718292386 -0.032438894 2.3024233579 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4215.737924686 0.1665280882 2.3091278176 9.7 0.0000 3.86E+44 0.0000 5.04E+421.1982175952 -0.233523314 2.3057780563 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43

-16.754309039 0.2132323972 2.3047635104 9.9 0.0000 2.91E+45 0.0000 3.8E+4325.444070063 -0.117816463 2.3095343071 10 0.0000 -8E+45 0.0000 -1E+44

-24.545268477 -0.014377273 2.3029246203 10.1 0.0000 2.19E+46 0.0000 2.86E+4414.918068909 0.1340019969 2.3089058565 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-0.4961214055 -0.198978712 2.3056570207 10.3 0.0000 1.65E+47 0.0000 2.16E+45-13.293025597 0.1891379549 2.3051649829 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4521.553078744 -0.112202729 2.3090117442 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-21.640368038 -0.000540755 2.30337457 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4613.982830079 0.1067567543 2.30868537 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-1.7543847905 -0.168822635 2.305582076 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-10.414526013 0.167020241 2.3054919563 10.9 0.0000 7.08E+49 0.0000 9.23E+4718.174898003 -0.105582424 2.3085638472 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-18.998823564 0.0098335113 2.3037764016 11.1 0.0000 5.33E+50 0.0000 6.96E+4812.98131504 0.0840531682 2.3084707356 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-2.6589633984 -0.142602601 2.3055432639 11.3 0.0000 4.02E+51 0.0000 5.25E+49-8.0344734073 0.1468592115 2.3057560944 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5015.253518292 -0.098350816 2.3081815142 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-16.611393824 0.0173914005 2.3041335434 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5111.951728602 0.0652398405 2.3082651055 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-3.2791781164 -0.119894981 2.3055323485 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-6.0789723616 0.1285977226 2.3059674856 11.9 0.0000 1.72E+54 0.0000 2.25E+52

12.7371562 -0.090817098 2.3078565168 12 0.0000 -4.73E+54 0.0000 -6.17E+52-14.465686057 0.022677273 2.3044495255 12.1 0.0000 1.3E+55 0.0000 1.69E+5310.923288047 0.0497451513 2.3080706467 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-3.6730686706 -0.100306871 2.3055425608 12.3 0.0000 9.78E+55 0.0000 1.28E+54-4.4835385547 0.1121520758 2.306134821 12.4 0.0000 -2.69E+56 0.0000 -3.51E+5410.578308426 -0.083219339 2.3075814579 12.5 0.0000 7.38E+56 0.0000 9.62E+54-12.54721406 0.0261477401 2.3047278779 12.6 0.0000 -2E+57 0.0000 -2.64E+559.9178504819 0.0370695373 2.3078887418 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-3.8889762206 -0.083476844 2.3055683764 12.8 0.0000 -1.53E+58 0.0000 -2E+56-3.1921244482 0.0974204871 2.3062655586 12.9 0.0000 4.19E+58 0.0000 5.47E+568.7337000453 -0.075737215 2.3073497222 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-10.840235707 0.0281838629 2.3049720546 13.1 0.0000 3.16E+59 0.0000 4.12E+578.9512901026 0.0267781577 2.3077201556 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-3.9669374492 -0.069074828 2.3056053221 13.3 0.0000 2.38E+60 0.0000 3.11E+58-2.1562079256 0.0842898194 2.3063660717 13.4 0.0000 -6.54E+60 0.0000 -8.53E+587.1641547161 -0.068502802 2.3071554225 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-9.3284072385 0.0291019158 2.3051853782 13.6 0.0000 -4.93E+61 0.0000 -6.43E+598.0346584948 0.0184940076 2.3075651744 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-3.9399074585 -0.056801338 2.3056498079 13.8 0.0000 -3.71E+62 0.0000 -4.85E+60-1.3339477035 0.0726408687 2.3064417844 13.9 0.0000 1.02E+63 0.0000 1.33E+61

5.834409221 -0.061609683 2.3069933437 14 0.0000 -2.8E+63 0.0000 -3.65E+61-7.9952862272 0.0291628413 2.3053710016 14.1 0.0000 7.69E+63 0.0000 1E+62

Page 290: Hojas de Calculo Fransua

7.1751574675 0.0118915153 2.3074237195 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62-3.8348281194 -0.046386249 2.3056989828 14.3 0.0000 5.79E+64 0.0000 7.56E+62-0.6894069374 0.0623524546 2.3064972931 14.4 0.0000 -1.59E+65 0.0000 -2.08E+634.7128903117 -0.055120595 2.3068588861 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-6.8247103992 0.0285805243 2.3055318825 14.6 0.0000 -1.2E+66 0.0000 -1.56E+646.3769505326 0.0066906392 2.3072954407 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-3.6735576734 -0.037587239 2.3057506107 14.8 0.0000 -9E+66 0.0000 -1.18E+65-0.1918446178 0.0533045252 2.306536475 14.9 0.0000 2.48E+67 0.0000 3.24E+653.7714681269 -0.049073825 2.30674801 15 0.0000 -6.81E+67 0.0000 -8.89E+65-5.801075308 0.0275290005 2.3056707688 15.1 0.0000 1.87E+68 0.0000 2.44E+665.6418360717 0.0026514668 2.3071797922 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-3.4736764046 -0.030188029 2.3058029641 15.3 0.0000 1.41E+69 0.0000 1.84E+670.1849270061 0.0453804592 2.3065625856 15.4 0.0000 -3.87E+69 0.0000 -5.05E+672.9851973744 -0.043488523 2.3066571824 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-4.9095302838 0.0261487142 2.305790192 15.6 0.0000 -2.92E+70 0.0000 -3.81E+684.9698024188 -0.000430694 2.307076093 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.2491821486 -0.023996496 2.3058547334 15.8 0.0000 -2.2E+71 0.0000 -2.87E+690.4631217145 0.0384687157 2.3065783444 15.9 0.0000 6.04E+71 0.0000 7.88E+692.3320549226 -0.038369094 2.3065833255 16 0.0000 -1.66E+72 0.0000 -2.16E+70

-4.1361089556 0.0245519277 2.3058924672 16.1 0.0000 4.55E+72 0.0000 5.94E+704.359482555 -0.002729752 2.306983576 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-3.0110883206 -0.018842752 2.3059049508 16.3 0.0000 3.43E+73 0.0000 4.48E+710.6614987344 0.0324639601 2.3065860112 16.4 0.0000 -9.42E+73 0.0000 -1.23E+721.7926803528 -0.033708807 2.3065237688 16.5 0.0000 2.59E+74 0.0000 3.37E+72

-3.4678079624 0.0228273798 2.3059796974 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.808523829 -0.004392814 2.3069014257 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.7679360603 -0.014577214 2.3059529244 16.8 0.0000 -5.35E+75 0.0000 -7E+730.7958261337 0.0272677744 2.3065874524 16.9 0.0000 1.47E+76 0.0000 1.92E+741.3501243156 -0.029492734 2.3064762044 17 0.0000 -4E+76 0.0000 -5.26E+74

-2.8926251664 0.0210442808 2.3060537818 17.1 0.0000 1.11E+77 0.0000 1.44E+753.3138860743 -0.005543747 2.3068288085 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5262310274 -0.01106873 2.3059981846 17.3 0.0000 8.35E+77 0.0000 1.09E+760.8792922782 0.0227890396 2.3065842001 17.4 0.0000 -2.29E+78 0.0000 -3E+760.9896081514 -0.025700128 2.3064386456 17.5 0.0000 6.29E+78 0.0000 8.21E+76-2.399566714 0.0192557255 2.3061164255 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.8720796848 -0.006286349 2.3067648943 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2908143619 -0.008202775 2.3060404381 17.8 0.0000 -1.3E+80 0.0000 -1.7E+780.9228695331 0.0189440653 2.3065775027 17.9 0.0000 3.57E+80 0.0000 4.66E+780.6982971208 -0.022306336 2.3064093891 18 0.0000 -9.81E+80 0.0000 -1.28E+79

-1.9786306127 0.0175015956 2.3061691521 18.1 0.0000 2.69E+81 0.0000 3.52E+792.4793535934 -0.006707148 2.3067088745 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-2.0651763485 -0.005879742 2.30607953 18.3 0.0000 2.03E+82 0.0000 2.65E+800.9356343665 0.0156565265 2.3065683693 18.4 0.0000 -5.58E+82 0.0000 -7.28E+800.4650887133 -0.019284304 2.3063869804 18.5 0.0000 1.53E+83 0.0000 2E+81

-1.6207730742 0.0158110186 2.3062133161 18.6 0.0000 -4.2E+83 0.0000 -5.48E+812.1318416857 -0.006877876 2.3066599732 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.8517204183 -0.004013341 2.3061154124 18.8 0.0000 -3.17E+84 0.0000 -4.13E+820.9250479087 0.0128572582 2.3065576082 18.9 0.0000 8.7E+84 0.0000 1.13E+83

Page 291: Hojas de Calculo Fransua

0.2804168052 -0.016605768 2.3063701827 19 0.0000 -2.39E+85 0.0000 -3.12E+83-1.3178626754 0.0142044408 2.3062501164 19.1 0.0000 6.56E+85 0.0000 8.55E+831.8256749319 -0.006857644 2.3066174562 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.6519842699 -0.002529115 2.3061481183 19.3 0.0000 4.94E+86 0.0000 6.45E+840.8972008548 0.0104839465 2.3065458599 19.4 0.0000 -1.36E+87 0.0000 -1.77E+850.1360719047 -0.014242163 2.3063579491 19.5 0.0000 3.72E+87 0.0000 4.86E+85

-1.0626263826 0.0126953662 2.3062806092 19.6 0.0000 -1E+88 0.0000 -1.33E+861.5570654276 -0.006694829 2.3065806361 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.4668241163 -0.001363072 2.3061777411 19.8 0.0000 -7.71E+88 0.0000 -1E+870.8570263882 0.0084807509 2.306533625 19.9 0.0000 2.12E+89 0.0000 2.76E+870.0250373168 -0.012165313 2.3063493969 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo3.3736866172 -2.356008653 3.37368661727.0031391453 7.1536873356 7.1536873356199.21607176 183.63300028 199.21607176

62.8318530720.0159154943637.63197794

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

69.782343854 2.5 2.4 0 0.0000 0 5.0000 5-263.55556366 7.0031391453 2.8751569573 0.1 5.0000 250.0566 3.6603 8.256614317.55804358 1.8176173005 3.3161947796 0.2 8.6603 -837.3589 1.3397 -9.057642

-267.62039879 -0.667780548 3.3736866172 0.3 10.0000 2233.47 -1.3397 27.9842137.4428874 -0.656296157 3.3074827819 0.4 8.6603 -6244.01 -3.6603 -85.55451

69.199756415 -7.153687336 2.9169836073 0.5 5.0000 17064.35 -5.0000 216.8326-15.691354415 -3.318946323 2.3933519243 0.6 0.0000 -46890.61 0.0000 -612.9178-216.92186749 3.1912147891 2.3869653476 0.7 0.0000 129001.2 0.0000 1683.659358.88200534 -1.929285194 2.4500618274 0.8 0.0000 -354259 0.0000 -4622.764

-364.50841403 0.0482217155 2.3560086535 0.9 0.0000 972642.8 0.0000 12691.83239.44815261 1.74440819 2.4456401487 1 0.0000 -2670386 0.0000 -34845.27

-35.772591634 -2.812418407 2.3922396379 1.1 0.0000 7331509 0.0000 95667.17-169.25468221 2.8145330453 2.3923453698 1.2 0.0000 -2E+07 0.0000 -262653302.22739658 -1.809879195 2.4425780624 1.3 0.0000 55262633 0.0000 721109.3

-319.63447085 0.214344283 2.3628013168 1.4 0.0000 -1.52E+08 0.0000 -1979795221.74269679 1.3682140476 2.4419292333 1.5 0.0000 4.17E+08 0.0000 5435497

Δůi

L5792
el tiempo lo vamos a variar
M5792
ESTE ES EL DATO QUE VA A VARIAR
O5792
este dato no es igual al de la segunda columna?
I5793
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N5793
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 292: Hojas de Calculo Fransua

-50.04181909 -2.372504891 2.3917146911 1.6 0.0000 -1.14E+09 0.0000-14923077-129.91070232 2.4718200556 2.3966804494 1.7 0.0000 3.14E+09 0.0000 40971085

253.2892177 -1.681481068 2.4361973987 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08-279.14440275 0.3341435763 2.3688305241 1.9 0.0000 2.37E+10 0.0000 3.09E+08

203.7078459 1.0570089683 2.4383881514 2 0.0000 -6.5E+10 0.0000 -8.48E+08-59.650990909 -1.991953482 2.3916409257 2.1 0.0000 1.78E+11 0.0000 2.33E+09-97.647414651 2.1619268162 2.4001395923 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09211.18388315 -1.549113163 2.430780275 2.3 0.0000 1.34E+12 0.0000 1.75E+10-242.8094112 0.4166702824 2.3741581309 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.81463399 0.8011773254 2.4350505113 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-65.563185553 -1.664054492 2.391906653 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-71.38179597 1.883286112 2.402868234 2.7 0.0000 7.64E+13 0.0000 9.97E+11175.10251914 -1.41662236 2.4262014216 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-210.36867265 0.4695053262 2.3788455699 2.9 0.0000 5.76E+14 0.0000 7.51E+12168.41278409 0.5923253371 2.4319371031 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-68.5792889 -1.38264908 2.3924209159 3.1 0.0000 4.34E+15 0.0000 5.66E+13-50.173590395 1.6340512621 2.404991025 3.2 0.0000 -1.19E+16 0.0000 -1.56E+14144.30962294 -1.286892361 2.4223489701 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-181.54299514 0.4989656443 2.3829526343 3.4 0.0000 -9E+16 0.0000 -1.17E+15151.75363503 0.4231550396 2.4290586685 3.5 0.0000 2.47E+17 0.0000 3.22E+15-69.36147048 -1.14212357 2.3931102419 3.6 0.0000 -6.77E+17 0.0000 -8.84E+15

-33.209711161 1.4122060476 2.4066143658 3.7 0.0000 1.86E+18 0.0000 2.43E+16118.14047901 -1.162023417 2.4191234974 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-156.04544169 0.5102855117 2.3865366021 3.9 0.0000 1.4E+19 0.0000 1.83E+17136.0094306 0.2873463063 2.426418193 4 0.0000 -3.85E+19 0.0000 -5E+17

-68.453752498 -0.937393454 2.3939158356 4.1 0.0000 1.06E+20 0.0000 1.38E+18-19.789820348 1.2156506914 2.4078286975 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1895.997699537 -1.043483806 2.4164370418 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-133.58945327 0.5077756564 2.3896516343 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19121.28946883 0.179447432 2.4240127887 4.5 0.0000 6E+21 0.0000 7.83E+19

-66.299958636 -0.763880014 2.3947911596 4.6 0.0000 -1.65E+22 0.0000 -2.15E+20-9.3131013061 1.0422680498 2.4087105614 4.7 0.0000 4.52E+22 0.0000 5.9E+2077.347183859 -0.932236883 2.4142121198 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-113.89492418 0.4949623111 2.3923483911 4.9 0.0000 3.41E+23 0.0000 4.45E+21107.65355223 0.0947744894 2.4218352312 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-63.259314027 -0.61748193 2.3956998591 5.1 0.0000 2.57E+24 0.0000 3.35E+22-1.2662091576 0.8899735603 2.4093244406 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2261.713729631 -0.828847109 2.4123807632 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-96.692613225 0.4747082463 2.3946738201 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2395.123126713 0.0293194214 2.4198752035 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-59.619950193 -0.494543729 2.3966139881 5.6 0.0000 -4E+26 0.0000 -5.23E+244.7876369424 0.7567519467 2.409724399 5.7 0.0000 1.1E+27 0.0000 1.44E+2548.676477624 -0.73356804 2.4108835943 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-81.727213366 0.4493177012 2.3966710774 5.9 0.0000 8.3E+27 0.0000 1.08E+2683.690449984 -0.020333344 2.4181202952 6 0.0000 -2.28E+28 0.0000 -3E+26-55.61055015 -0.391822559 2.3975125 6.1 0.0000 6.25E+28 0.0000 8.16E+269.2184715798 0.6406832178 2.4099555329 6.2 0.0000 -1.72E+29 0.0000 -2.24E+2737.864330069 -0.646414934 2.4096689471 6.3 0.0000 4.71E+29 0.0000 6.15E+27

Page 293: Hojas de Calculo Fransua

-68.759350714 0.4206269972 2.3983795503 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2873.32608639 -0.057082104 2.416556795 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-51.410349882 -0.306454422 2.3983799687 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2912.338373142 0.5399600862 2.4100552519 6.7 0.0000 2.68E+31 0.0000 3.49E+2928.951447814 -0.567224243 2.4086920441 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29-57.56673852 0.3900824757 2.3998349557 6.9 0.0000 2.02E+32 0.0000 2.63E+3063.984987256 -0.083375341 2.4151703124 7 0.0000 -5.54E+32 0.0000 -7.23E+30-47.15769349 -0.235920721 2.3992055093 7.1 0.0000 1.52E+33 0.0000 1.99E+3114.409294917 0.4528985875 2.4100544027 7.2 0.0000 -4.18E+33 0.0000 -5.45E+3121.652903473 -0.495702033 2.4079142304 7.3 0.0000 1.15E+34 0.0000 1.5E+32

-47.944673529 0.3588072665 2.4010694921 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3255.611380802 -0.101271937 2.4139462586 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.957320913 -0.178015777 2.3999818729 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3315.65000938 0.3779433775 2.4099782529 7.7 0.0000 6.52E+35 0.0000 8.5E+33

15.720544995 -0.431463045 2.4073022695 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34-39.706029095 0.327658252 2.4021120299 7.9 0.0000 4.91E+36 0.0000 6.41E+3448.142665268 -0.112494656 2.4128702097 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-38.886549535 -0.130815756 2.400704689 8.1 0.0000 3.7E+37 0.0000 4.83E+3516.242238775 0.3136689306 2.4098473478 8.2 0.0000 -1E+38 0.0000 -1.33E+3610.939105898 -0.374061921 2.4068276983 8.3 0.0000 2.79E+38 0.0000 3.64E+36

-32.680871557 0.2972744619 2.4029883253 8.4 0.0000 -7.66E+38 0.0000 -1E+3741.512471659 -0.118477438 2.4119281765 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-35.000494254 -0.092649334 2.4013718379 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3716.336044301 0.2587776411 2.4096782532 8.7 0.0000 1.59E+40 0.0000 2.07E+387.1225839832 -0.323017882 2.4064662412 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38

-26.715802726 0.2681180098 2.4037212476 8.9 0.0000 1.2E+41 0.0000 1.56E+3935.653038664 -0.120407036 2.4111067963 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-31.336455045 -0.062070285 2.4019829303 9.1 0.0000 9.01E+41 0.0000 1.18E+4016.054543978 0.2120956477 2.4094841985 9.2 0.0000 -2.47E+42 0.0000 -3.23E+404.1108991123 -0.277833973 2.4061972822 9.3 0.0000 6.79E+42 0.0000 8.86E+40

-21.673111404 0.24050856 2.4043310115 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4130.497021282 -0.119259521 2.4103934634 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-27.917586542 -0.037832109 2.4025388819 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4215.498026169 0.1725670412 2.4092756286 9.7 0.0000 3.86E+44 0.0000 5.04E+421.7668319375 -0.238011828 2.4060033893 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43

-17.429800147 0.2146522087 2.4048354083 9.9 0.0000 2.91E+45 0.0000 3.8E+4325.978836398 -0.115832165 2.4097764105 10 0.0000 -8E+45 0.0000 -1E+44

-24.755950893 -0.018864727 2.4030415659 10.1 0.0000 2.19E+46 0.0000 2.86E+4414.747521909 0.139246987 2.4090606789 10.2 0.0000 -6E+46 0.0000 -7.85E+44

-0.0267610293 -0.203062748 2.4058698908 10.3 0.0000 1.65E+47 0.0000 2.16E+45-13.876539557 0.1906655601 2.4052500314 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4522.035632599 -0.110771161 2.4092447514 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-21.855042997 -0.004253229 2.4034935319 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4613.867894995 0.1112941822 2.4088455795 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-1.3694654251 -0.172515806 2.4057844983 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-10.916590808 0.1685956834 2.4055884921 10.9 0.0000 7.08E+49 0.0000 9.23E+4718.607957672 -0.104595638 2.4087884944 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-19.2118662 0.0067813829 2.4038977816 11.1 0.0000 5.33E+50 0.0000 6.96E+48

Page 294: Hojas de Calculo Fransua

12.910504372 0.0879629778 2.4086349997 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49-2.3455729172 -0.145923519 2.4057369726 11.3 0.0000 4.02E+51 0.0000 5.25E+49-8.4647275871 0.1484365576 2.4058626246 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5015.640185324 -0.097718391 2.4083985329 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-16.818626639 0.0148995466 2.4042575906 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5111.915488882 0.0685954187 2.4084323389 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-3.0261060152 -0.122865597 2.40571883 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-6.4461808069 0.1301425304 2.4060826766 11.9 0.0000 1.72E+54 0.0000 2.25E+5213.080752392 -0.090463683 2.408066619 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-14.664105485 0.0206586826 2.404576369 12.1 0.0000 1.3E+55 0.0000 1.69E+5310.913719972 0.0526133936 2.4082399728 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-3.4706202349 -0.102951171 2.4057230839 12.3 0.0000 9.78E+55 0.0000 1.28E+54-4.795623099 0.1136392512 2.4062574879 12.4 0.0000 -2.69E+56 0.0000 -3.51E+5410.882248999 -0.083082493 2.4077853258 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-12.734760405 0.0245270574 2.4048575541 12.6 0.0000 -2E+57 0.0000 -2.64E+559.9284637016 0.0395110376 2.4080594588 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-3.7288007112 -0.085819817 2.4057440198 12.8 0.0000 -1.53E+58 0.0000 -2E+56-3.4562049628 0.0988324773 2.4063946528 12.9 0.0000 4.19E+58 0.0000 5.47E+569.0013966523 -0.075765512 2.4075480011 13 0.0000 -1.15E+59 0.0000 -1.5E+57-11.01560052 0.0268960836 2.4051045297 13.1 0.0000 3.16E+59 0.0000 4.12E+578.9767892275 0.0288474855 2.4078917081 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-3.8418704858 -0.071141677 2.4057769986 13.3 0.0000 2.38E+60 0.0000 3.11E+58-2.3786503579 0.0856150973 2.4065006696 13.4 0.0000 -6.54E+60 0.0000 -8.53E+587.3989428752 -0.06865417 2.4073487159 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-9.4908728755 0.0280911876 2.4053205668 13.6 0.0000 -4.93E+61 0.0000 -6.43E+598.0707571051 0.0202400457 2.4077371284 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-3.8438274299 -0.058616885 2.4058182865 13.8 0.0000 -3.71E+62 0.0000 -4.85E+60-1.5204162887 0.0738726685 2.4065810757 13.9 0.0000 1.02E+63 0.0000 1.33E+616.0394956094 -0.061849964 2.4071822109 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-8.1445929717 0.0283813693 2.4055087811 14.1 0.0000 7.69E+63 0.0000 1E+627.2184170902 0.0133578346 2.4075957413 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-3.7625261918 -0.047974494 2.4058649084 14.3 0.0000 5.79E+64 0.0000 7.56E+62-0.8449184107 0.063487722 2.4066405698 14.4 0.0000 -1.59E+65 0.0000 -2.08E+634.8913160657 -0.055422292 2.4070438413 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-6.9609470837 0.0279875768 2.4056721055 14.6 0.0000 -1.2E+66 0.0000 -1.56E+646.4246417886 0.0079158946 2.4074672791 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-3.6206207803 -0.038971052 2.4059145212 14.8 0.0000 -9E+66 0.0000 -1.18E+65-0.3208227577 0.0543430513 2.4066831211 14.9 0.0000 2.48E+67 0.0000 3.24E+65

3.926084921 -0.049415022 2.4069295226 15 0.0000 -6.81E+67 0.0000 -8.89E+65-5.924589892 0.0270900127 2.4058132721 15.1 0.0000 1.87E+68 0.0000 2.44E+665.6918194158 0.0036697989 2.4073512627 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-3.4363824801 -0.031388939 2.4059653057 15.3 0.0000 1.41E+69 0.0000 1.84E+670.07859776 0.0463241706 2.4067120673 15.4 0.0000 -3.87E+69 0.0000 -5.05E+67

3.1186535855 -0.043851956 2.406835678 15.5 0.0000 1.06E+70 0.0000 1.39E+68-5.0208573029 0.0258344843 2.4059348044 15.6 0.0000 -2.92E+70 0.0000 -3.81E+685.0204261211 0.0004107389 2.4072470656 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.2244067845 -0.025034566 2.4060158743 15.8 0.0000 -2.2E+71 0.0000 -2.87E+690.3760444927 0.0393210968 2.4067302008 15.9 0.0000 6.04E+71 0.0000 7.88E+69

Page 295: Hojas de Calculo Fransua

2.4467896452 -0.038741355 2.4067591879 16 0.0000 -1.66E+72 0.0000 -2.16E+70-4.2359111688 0.0243378992 2.4060390151 16.1 0.0000 4.55E+72 0.0000 5.94E+704.4094957925 -0.002038922 2.4071539639 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-2.9962219904 -0.019736513 2.4060651922 16.3 0.0000 3.43E+73 0.0000 4.48E+710.5907149676 0.0332295872 2.4067398459 16.4 0.0000 -9.42E+73 0.0000 -1.23E+721.8909234236 -0.034079664 2.4066973421 16.5 0.0000 2.59E+74 0.0000 3.37E+72

-3.5568298883 0.022693004 2.4061280091 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.8570029638 -0.003829651 2.4070711767 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.7608110386 -0.015343652 2.4061125115 16.8 0.0000 -5.35E+75 0.0000 -7E+730.7387692149 0.0279519428 2.4067429261 16.9 0.0000 1.47E+76 0.0000 1.92E+741.4339008375 -0.029854553 2.4066477955 17 0.0000 -4E+76 0.0000 -5.26E+74-2.971656525 0.020972453 2.4062036905 17.1 0.0000 1.11E+77 0.0000 1.44E+753.3601723969 -0.005088325 2.4069978969 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5250571445 -0.011723309 2.4061573152 17.3 0.0000 8.35E+77 0.0000 1.09E+760.8337444191 0.0233974691 2.4067410232 17.4 0.0000 -2.29E+78 0.0000 -3E+761.0607462899 -0.026047389 2.4066085272 17.5 0.0000 6.29E+78 0.0000 8.21E+76

-2.4694140737 0.0192322885 2.4062677722 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.9157270825 -0.005921423 2.4069333155 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.2941227586 -0.008759484 2.4061992701 17.8 0.0000 -1.3E+80 0.0000 -1.7E+780.8869219414 0.0194826704 2.4067354294 17.9 0.0000 3.57E+80 0.0000 4.66E+780.7584381838 -0.022635216 2.4065778021 18 0.0000 -9.81E+80 0.0000 -1.28E+79

-2.0400957923 0.0175149048 2.4063217866 18.1 0.0000 2.69E+81 0.0000 3.52E+792.52008478 -0.006417855 2.4068766391 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-2.0717704339 -0.006351166 2.406238188 18.3 0.0000 2.03E+82 0.0000 2.65E+800.9076507683 0.0161312405 2.4067271917 18.4 0.0000 -5.58E+82 0.0000 -7.28E+800.5156987238 -0.019592336 2.4065541369 18.5 0.0000 1.53E+83 0.0000 2E+81

-1.6746370709 0.0158515617 2.4063670982 18.6 0.0000 -4.2E+83 0.0000 -5.48E+812.1695117857 -0.006651458 2.4068271034 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.8606332771 -0.004410742 2.4062739934 18.8 0.0000 -3.17E+84 0.0000 -4.13E+820.9036313608 0.0132739002 2.4067171514 18.9 0.0000 8.7E+84 0.0000 1.13E+830.3227989424 -0.016891554 2.4065362687 19 0.0000 -2.39E+85 0.0000 -3.12E+83

-1.3648740753 0.0142645071 2.4064049163 19.1 0.0000 6.56E+85 0.0000 8.55E+831.8602413557 -0.006683188 2.4067839823 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.6624418189 -0.00286252 2.4063066968 19.3 0.0000 4.94E+86 0.0000 6.45E+840.8811637362 0.0108481253 2.4067059771 19.4 0.0000 -1.36E+87 0.0000 -1.77E+850.1713793283 -0.014505134 2.4065231267 19.5 0.0000 3.72E+87 0.0000 4.86E+85

-1.1034933793 0.0127687608 2.406436308 19.6 0.0000 -1E+88 0.0000 -1.33E+861.5885631081 -0.006563047 2.4067465937 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.4782133583 -0.001641369 2.4063363729 19.8 0.0000 -7.71E+88 0.0000 -1E+870.8453634184 0.0087977966 2.4066941943 19.9 0.0000 2.12E+89 0.0000 2.76E+870.0542860013 -0.012405535 2.4065138073 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo

Page 296: Hojas de Calculo Fransua

3.4752060216 -2.455436019 3.47520602166.9267119532 7.0670382487 7.0670382487202.48707923 178.03103034 202.48707923

62.8318530720.0159154943638.14603043

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

66.237782831 2.6 2.5 0 0.0000 0 5.0000 5-254.41704129 6.9267119532 2.9763355977 0.1 5.0000 250.0566 3.6603 8.256614

306.4083322 1.8444609834 3.4148942445 0.2 8.6603 -837.3589 1.3397 -9.057642-258.56031045 -0.638225441 3.4752060216 0.3 10.0000 2233.47 -1.3397 27.9842133.59546776 -0.728510777 3.4068692107 0.4 8.6603 -6244.01 -3.6603 -85.5545166.751288642 -7.067038249 3.0170917594 0.5 5.0000 17064.35 -5.0000 216.8326

-8.1764327333 -3.3882279 2.494328452 0.6 0.0000 -46890.61 0.0000 -612.9178-226.53080602 3.2193252435 2.4858833191 0.7 0.0000 129001.2 0.0000 1683.659367.03057018 -1.90848355 2.5514254038 0.8 0.0000 -354259 0.0000 -4622.764

-368.36422421 -0.011304136 2.4554360195 0.9 0.0000 972642.8 0.0000 12691.83237.87330644 1.8191925766 2.5458304415 1 0.0000 -2670386 0.0000 -34845.27

-29.635452135 -2.874856599 2.4930472404 1.1 0.0000 7331509 0.0000 95667.17-177.50278182 2.8429869407 2.4914537575 1.2 0.0000 -2E+07 0.0000 -262653309.51783335 -1.796081217 2.5437990436 1.3 0.0000 55262633 0.0000 721109.3

-323.41354009 0.1656032012 2.4622751428 1.4 0.0000 -1.52E+08 0.0000 -1979795220.85604473 1.4325022829 2.542180417 1.5 0.0000 4.17E+08 0.0000 5435497

-45.068693262 -2.428473403 2.492381861 1.6 0.0000 -1.14E+09 0.0000-14923077-136.96202357 2.4999184844 2.4959541151 1.7 0.0000 3.14E+09 0.0000 40971085259.77999355 -1.67322547 2.5372887658 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-282.78462573 0.2945290754 2.4683539461 1.9 0.0000 2.37E+10 0.0000 3.09E+08203.35569675 1.1120520111 2.5386830004 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-55.656716485 -2.041871502 2.4921920259 2.1 0.0000 1.78E+11 0.0000 2.33E+09-103.65059739 2.1891539975 2.4995561506 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09216.93600466 -1.545186197 2.5317545407 2.3 0.0000 1.34E+12 0.0000 1.75E+10-246.2672649 0.384743973 2.4737324295 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.87037423 0.8481111309 2.5353751847 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-62.388011408 -1.708366245 2.492362429 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-76.470730418 1.9092745207 2.5024078428 2.7 0.0000 7.64E+13 0.0000 9.97E+11180.17758116 -1.416021805 2.5270704786 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-213.61548809 0.444024406 2.4784706086 2.9 0.0000 5.76E+14 0.0000 7.51E+12168.77280585 0.6321752708 2.5322805925 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-66.085934973 -1.421807976 2.4927989572 3.1 0.0000 4.34E+15 0.0000 5.66E+13-54.468237287 1.6585523204 2.5046361744 3.2 0.0000 -1.19E+16 0.0000 -1.56E+14

148.7683346 -1.288795996 2.5231239906 3.3 0.0000 3.27E+16 0.0000 4.27E+14

Δůi

L6014
el tiempo lo vamos a variar
M6014
ESTE ES EL DATO QUE VA A VARIAR
O6014
este dato no es igual al de la segunda columna?
I6015
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N6015
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 297: Hojas de Calculo Fransua

-184.56184535 0.478860553 2.4826272185 3.4 0.0000 -9E+16 0.0000 -1.17E+15152.33379108 0.4568415644 2.5294123243 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-67.432442001 -1.176580138 2.4934253957 3.6 0.0000 -6.77E+17 0.0000 -8.84E+15-36.817015953 1.4350656136 2.5063496695 3.7 0.0000 1.86E+18 0.0000 2.43E+16122.04157885 -1.165761533 2.5198148735 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-158.82855815 0.4946394662 2.4862587702 3.9 0.0000 1.4E+19 0.0000 1.83E+17136.74196027 0.3156914999 2.5267753185 4 0.0000 -3.85E+19 0.0000 -5E+17

-66.988902488 -0.96758636 2.4941805755 4.1 0.0000 1.06E+20 0.0000 1.38E+18-22.804678133 1.2367886685 2.5076406909 4.2 0.0000 -2.9E+20 0.0000 -3.78E+1899.397185522 -1.048515334 2.5170543576 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-136.13609379 0.4958060335 2.4894188926 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19122.12034299 0.2031819872 2.5243682936 4.5 0.0000 6E+21 0.0000 7.83E+19

-65.214288861 -0.790229599 2.495015913 4.6 0.0000 -1.65E+22 0.0000 -2.15E+20-11.819338942 1.0616615209 2.5085875091 4.7 0.0000 4.52E+22 0.0000 5.9E+2080.297795653 -0.938128749 2.5147641477 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-116.20962482 0.4860038166 2.4921579011 4.9 0.0000 3.41E+23 0.0000 4.45E+21108.54018907 0.1145449241 2.5221853381 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-62.481001855 -0.640385756 2.4958932965 5.1 0.0000 2.57E+24 0.0000 3.35E+22-3.3375591444 0.9076429255 2.509256155 5.2 0.0000 -7.06E+24 0.0000 -9.21E+22

64.26463104 -0.835256443 2.5128754791 5.3 0.0000 1.94E+25 0.0000 2.53E+23-98.783765388 0.4681977826 2.4945225461 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2396.032434643 0.0456952911 2.5202171998 5.5 0.0000 1.46E+26 0.0000 1.91E+24-59.08858715 -0.514373738 2.4967832775 5.6 0.0000 -4E+26 0.0000 -5.23E+243.0865897369 0.7727496085 2.509702071 5.7 0.0000 1.1E+27 0.0000 1.44E+2550.873095762 -0.740226916 2.5113282056 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-83.605915204 0.4447808341 2.4965559015 5.9 0.0000 8.3E+27 0.0000 1.08E+2684.597157443 -0.006852388 2.5184523238 6 0.0000 -2.28E+28 0.0000 -3E+26

-55.275576938 -0.408923498 2.4976635296 6.1 0.0000 6.25E+28 0.0000 8.16E+267.8313839191 0.6550844178 2.5099715756 6.2 0.0000 -1.72E+29 0.0000 -2.24E+2739.748315363 -0.653117318 2.5100699306 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-70.438488559 0.4176659109 2.4982973602 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2874.211322677 -0.04605952 2.5168776798 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-51.229672239 -0.321143245 2.4985175415 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2911.216287422 0.5528555512 2.5101031568 6.7 0.0000 2.68E+31 0.0000 3.49E+2930.560725375 -0.573814893 2.5090551897 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29

-59.060260462 0.3883653027 2.4997827102 6.9 0.0000 2.02E+32 0.0000 2.63E+3064.835081809 -0.074431256 2.5154794125 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-47.096463285 -0.248486747 2.4993335123 7.1 0.0000 1.52E+33 0.0000 1.99E+3113.509839054 0.4643886877 2.5101286094 7.2 0.0000 -4.18E+33 0.0000 -5.45E+3123.021791779 -0.502067089 2.5082446893 7.3 0.0000 1.15E+34 0.0000 1.5E+32

-49.267022509 0.3580586759 2.5010442686 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3256.416851975 -0.094077096 2.5142433477 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-42.986867248 -0.188721394 2.5001034232 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3314.936655771 0.3881335444 2.5100740307 7.7 0.0000 6.52E+35 0.0000 8.5E+33

16.87992244 -0.437522091 2.5076046034 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34-40.871707669 0.3276511835 2.502111058 7.9 0.0000 4.91E+36 0.0000 6.41E+3448.897372794 -0.106764803 2.513155377 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-38.983445195 -0.139897534 2.5008222601 8.1 0.0000 3.7E+37 0.0000 4.83E+35

Page 298: Hojas de Calculo Fransua

15.683623471 0.3226661159 2.5099606893 8.2 0.0000 -1E+38 0.0000 -1.33E+3611.916609596 -0.379761321 2.507105929 8.3 0.0000 2.79E+38 0.0000 3.64E+36

-33.704114658 0.2978228959 2.5030090078 8.4 0.0000 -7.66E+38 0.0000 -1E+3742.212909955 -0.113968141 2.5122017455 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-35.145743638 -0.100319412 2.5014873679 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3715.905345924 0.2666876323 2.5098057789 8.7 0.0000 1.59E+40 0.0000 2.07E+387.9428284574 -0.328325209 2.5067239001 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38-27.61033834 0.2690706686 2.5037611731 8.9 0.0000 1.2E+41 0.0000 1.56E+3936.29775083 -0.116908948 2.5113692591 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-31.514790549 -0.06851794 2.5020979147 9.1 0.0000 9.01E+41 0.0000 1.18E+4015.728920757 0.2190210824 2.5096230719 9.2 0.0000 -2.47E+42 0.0000 -3.23E+404.7957051554 -0.282733385 2.5064374567 9.3 0.0000 6.79E+42 0.0000 8.86E+40

-22.451992253 0.241743443 2.5043879596 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4131.086116115 -0.116594084 2.5106454276 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-28.116861335 -0.043225417 2.5026544525 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4215.258108632 0.178605988 2.509423481 9.7 0.0000 3.86E+44 0.0000 5.04E+422.3354581729 -0.242500242 2.5062287684 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43

-18.105292168 0.2160718688 2.5049073497 9.9 0.0000 2.91E+45 0.0000 3.8E+4326.513592957 -0.11384772 2.5100185571 10 0.0000 -8E+45 0.0000 -1E+44

-24.966616941 -0.02335227 2.5031585576 10.1 0.0000 2.19E+46 0.0000 2.86E+4414.576958173 0.1444919808 2.5092155431 10.2 0.0000 -6E+46 0.0000 -7.85E+440.4426104442 -0.207146707 2.5060828068 10.3 0.0000 1.65E+47 0.0000 2.16E+45

-14.460055323 0.192193037 2.5053351234 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4522.518178845 -0.109339463 2.509477802 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-22.069704182 -0.007965788 2.5036125395 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4613.752945244 0.1158316212 2.5090058312 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-0.9845357972 -0.176208917 2.5059869664 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-11.418658039 0.1701710176 2.5056850714 10.9 0.0000 7.08E+49 0.0000 9.23E+4719.041011518 -0.10360874 2.5090131853 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-19.424897302 0.0037291766 2.5040192072 11.1 0.0000 5.33E+50 0.0000 6.96E+4812.839680905 0.0918728039 2.5087993062 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-2.0321730199 -0.149244389 2.505930727 11.3 0.0000 4.02E+51 0.0000 5.25E+49-8.8949846218 0.150013813 2.5059691982 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5016.026847997 -0.097085867 2.5086155955 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-17.025849846 0.012407621 2.5043816831 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5111.879238035 0.0719510168 2.508599615 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-2.7730253343 -0.125836178 2.505905357 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-6.8133923597 0.1316872626 2.5061979112 11.9 0.0000 1.72E+54 0.0000 2.25E+5213.424345415 -0.090110182 2.5082767653 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-14.862516954 0.0186400267 2.5047032575 12.1 0.0000 1.3E+55 0.0000 1.69E+5310.904142264 0.0554816582 2.5084093417 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-3.2681640308 -0.105595445 2.5059036524 12.3 0.0000 9.78E+55 0.0000 1.28E+54-5.1077108729 0.1151263638 2.5063801984 12.4 0.0000 -2.69E+56 0.0000 -3.51E+5411.186187363 -0.082945573 2.5079892379 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-12.922300198 0.0229063153 2.5049872751 12.6 0.0000 -2E+57 0.0000 -2.64E+559.9390686133 0.0419525615 2.5082302189 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-3.5686182083 -0.088162772 2.5059197084 12.8 0.0000 -1.53E+58 0.0000 -2E+56-3.7202887289 0.1002444156 2.5065237906 12.9 0.0000 4.19E+58 0.0000 5.47E+56

Page 299: Hojas de Calculo Fransua

9.2690918162 -0.075793744 2.5077463242 13 0.0000 -1.15E+59 0.0000 -1.5E+57-11.190959975 0.0256082506 2.5052370495 13.1 0.0000 3.16E+59 0.0000 4.12E+57

9.002281216 0.0309168374 2.5080633039 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58-3.7167972597 -0.073208514 2.5059487201 13.3 0.0000 2.38E+60 0.0000 3.11E+58-2.6010959882 0.0869403327 2.506635311 13.4 0.0000 -6.54E+60 0.0000 -8.53E+58

7.633730196 -0.068805483 2.5075420535 13.5 0.0000 1.79E+61 0.0000 2.34E+59-9.6533341646 0.0270804114 2.5054557999 13.6 0.0000 -4.93E+61 0.0000 -6.43E+59

8.10684961 0.0219861075 2.5079091258 13.7 0.0000 1.35E+62 0.0000 1.77E+60-3.7477418209 -0.060432424 2.50598681 13.8 0.0000 -3.71E+62 0.0000 -4.85E+60

-1.706887963 0.0751044338 2.5067204105 13.9 0.0000 1.02E+63 0.0000 1.33E+616.2445816305 -0.062090198 2.5073711223 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-8.2938962183 0.0275998544 2.5056466051 14.1 0.0000 7.69E+63 0.0000 1E+627.2616715111 0.0148241771 2.5077678067 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-3.6902193149 -0.049562736 2.5060308788 14.3 0.0000 5.79E+64 0.0000 7.56E+62-1.0004328248 0.0646229615 2.5067838901 14.4 0.0000 -1.59E+65 0.0000 -2.08E+635.0697418133 -0.055723948 2.5072288407 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-7.0971809823 0.0273945911 2.5058123729 14.6 0.0000 -1.2E+66 0.0000 -1.56E+646.4723286318 0.0091411722 2.507639161 14.7 0.0000 3.29E+66 0.0000 4.29E+64

-3.5676795173 -0.040354864 2.5060784764 14.8 0.0000 -9E+66 0.0000 -1.18E+65-0.4498036643 0.055381555 2.506829811 14.9 0.0000 2.48E+67 0.0000 3.24E+65

4.080701979 -0.049756185 2.5071110795 15 0.0000 -6.81E+67 0.0000 -8.89E+65-6.0481022831 0.0266509911 2.5059558198 15.1 0.0000 1.87E+68 0.0000 2.44E+665.7417990328 0.0046881519 2.5075227769 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-3.3990847135 -0.03258985 2.506127692 15.3 0.0000 1.41E+69 0.0000 1.84E+67-0.0277340627 0.0472678643 2.5068615927 15.4 0.0000 -3.87E+69 0.0000 -5.05E+673.2521102572 -0.04421536 2.5070142179 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-5.1321826207 0.0255202247 2.5060794612 15.6 0.0000 -2.92E+70 0.0000 -3.81E+685.0710466902 0.0012521916 2.507418082 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.1996280564 -0.026072638 2.5061770597 15.8 0.0000 -2.2E+71 0.0000 -2.87E+690.2889648923 0.0401734641 2.506882101 15.9 0.0000 6.04E+71 0.0000 7.88E+692.5615249658 -0.039113592 2.5069350946 16 0.0000 -1.66E+72 0.0000 -2.16E+70

-4.3357120853 0.0241238448 2.5061856072 16.1 0.0000 4.55E+72 0.0000 5.94E+704.4595064089 -0.001348074 2.5073243957 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-2.9813527267 -0.020630277 2.5062254781 16.3 0.0000 3.43E+73 0.0000 4.48E+710.5199290215 0.0339952037 2.5068937245 16.4 0.0000 -9.42E+73 0.0000 -1.23E+721.9891671825 -0.0344505 2.5068709596 16.5 0.0000 2.59E+74 0.0000 3.37E+72

-3.6458508485 0.0225586056 2.5062763649 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.9054799177 -0.003266472 2.5072409716 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.7536834689 -0.016110095 2.5062721432 16.8 0.0000 -5.35E+75 0.0000 -7E+730.681710313 0.0286361032 2.5068984436 16.9 0.0000 1.47E+76 0.0000 1.92E+74

1.5176781 -0.030216356 2.506819431 17 0.0000 -4E+76 0.0000 -5.26E+74-3.0506871868 0.0209006055 2.5063536434 17.1 0.0000 1.11E+77 0.0000 1.44E+753.4064569151 -0.004632887 2.5071670293 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5238810572 -0.012377894 2.5063164903 17.3 0.0000 8.35E+77 0.0000 1.09E+760.7881947665 0.0240058927 2.5068978902 17.4 0.0000 -2.29E+78 0.0000 -3E+761.1318851924 -0.026394635 2.5067784531 17.5 0.0000 6.29E+78 0.0000 8.21E+76

-2.5392609527 0.0192088345 2.506419163 17.6 0.0000 -1.73E+79 0.0000 -2.25E+772.9593729965 -0.005556484 2.5071017806 17.7 0.0000 4.74E+79 0.0000 6.19E+77

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-2.2974292559 -0.0093162 2.5063581464 17.8 0.0000 -1.3E+80 0.0000 -1.7E+780.850972737 0.0200212715 2.5068934 17.9 0.0000 3.57E+80 0.0000 4.66E+78

0.8185800121 -0.022964083 2.5067462594 18 0.0000 -9.81E+80 0.0000 -1.28E+79-2.1015606636 0.0175281992 2.5064744652 18.1 0.0000 2.69E+81 0.0000 3.52E+792.5608147552 -0.006128551 2.5070444476 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-2.0783628889 -0.006822596 2.5063968903 18.3 0.0000 2.03E+82 0.0000 2.65E+800.8796657274 0.0166059517 2.5068860581 18.4 0.0000 -5.58E+82 0.0000 -7.28E+80

0.566309484 -0.019900358 2.5067213377 18.5 0.0000 1.53E+83 0.0000 2E+81-1.728500895 0.015892092 2.5065209244 18.6 0.0000 -4.2E+83 0.0000 -5.48E+812.2071809042 -0.006425028 2.5069942776 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.8695447422 -0.004808148 2.5064326188 18.8 0.0000 -3.17E+84 0.0000 -4.13E+820.8822135287 0.0136905406 2.5068767384 18.9 0.0000 8.7E+84 0.0000 1.13E+830.3651818014 -0.017177332 2.5067023989 19 0.0000 -2.39E+85 0.0000 -3.12E+83

-1.4118854079 0.0143245626 2.5065597604 19.1 0.0000 6.56E+85 0.0000 8.55E+831.8948069914 -0.006508723 2.5069505524 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84

-1.6728981815 -0.00319593 2.5064653197 19.3 0.0000 4.94E+86 0.0000 6.45E+840.8651254796 0.0112123032 2.5068661383 19.4 0.0000 -1.36E+87 0.0000 -1.77E+850.2066874371 -0.014768098 2.5066883486 19.5 0.0000 3.72E+87 0.0000 4.86E+85-1.144360389 0.0128421461 2.506592051 19.6 0.0000 -1E+88 0.0000 -1.33E+861.6200601624 -0.006431257 2.5069125954 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.4896015947 -0.001919672 2.506495049 19.8 0.0000 -7.71E+88 0.0000 -1E+870.8336994448 0.0091148421 2.5068548075 19.9 0.0000 2.12E+89 0.0000 2.76E+87

0.083535329 -0.012645752 2.506678262 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo3.576725457 -2.554863455 3.576725457

6.8502863062 6.9803890122 6.9803890122205.75799296 172.42899842 205.75799296

62.8318530720.0159154943638.67084634

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

62.692907092 2.7 2.6 0 0.0000 0 5.0000 5-245.27831503 6.8502863062 3.0775143153 0.1 5.0000 250.0566 3.6603 8.256614295.25859446 1.8713022155 3.5135937414 0.2 8.6603 -837.3589 1.3397 -9.057642

-249.50037273 -0.608667904 3.576725457 0.3 10.0000 2233.47 -1.3397 27.9842

Δůi

L6236
el tiempo lo vamos a variar
M6236
ESTE ES EL DATO QUE VA A VARIAR
O6236
este dato no es igual al de la segunda columna?
I6237
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N6237
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 301: Hojas de Calculo Fransua

129.74831189 -0.800726937 3.5062557149 0.4 8.6603 -6244.01 -3.6603 -85.5545164.302544621 -6.980389012 3.1171999174 0.5 5.0000 17064.35 -5.0000 216.8326-0.661321841 -3.457508262 2.5953050538 0.6 0.0000 -46890.61 0.0000 -612.9178

-236.13978394 3.2474336281 2.5848013221 0.7 0.0000 129001.2 0.0000 1683.659375.17901892 -1.887679771 2.6527890149 0.8 0.0000 -354259 0.0000 -4622.764

-372.21981305 -0.070831422 2.5548634553 0.9 0.0000 972642.8 0.0000 12691.83236.29821878 1.8939772217 2.6460207453 1 0.0000 -2670386 0.0000 -34845.27

-23.498138493 -2.937293848 2.593854914 1.1 0.0000 7331509 0.0000 95667.17-185.75092972 2.8714390963 2.5905621764 1.2 0.0000 -2E+07 0.0000 -262653316.80818237 -1.78228137 2.6450200627 1.3 0.0000 55262633 0.0000 721109.3

-327.19242455 0.116860796 2.561749034 1.4 0.0000 -1.52E+08 0.0000 -1979795219.96918242 1.4967908528 2.6424316164 1.5 0.0000 4.17E+08 0.0000 5435497

-40.095408327 -2.484441197 2.5930490992 1.6 0.0000 -1.14E+09 0.0000-14923077-144.01339874 2.5280154579 2.5952278122 1.7 0.0000 3.14E+09 0.0000 40971085266.27070476 -1.66496824 2.6383801731 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08-286.4246953 0.2549133622 2.5678774292 1.9 0.0000 2.37E+10 0.0000 3.09E+08203.00336527 1.1670954381 2.6389778692 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-51.662297641 -2.091788988 2.5927431917 2.1 0.0000 1.78E+11 0.0000 2.33E+09-109.65383711 2.216379968 2.5989727408 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09222.68808025 -1.541257814 2.6327288484 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-249.72499196 0.3528165606 2.5733067858 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.92595696 0.8950453496 2.6356998813 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-59.212706951 -1.752677612 2.5928182682 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-81.559722905 1.9352619278 2.601947484 2.7 0.0000 7.64E+13 0.0000 9.97E+11185.25261225 -1.415420026 2.6279395791 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-216.86219969 0.4185424884 2.5780957022 2.9 0.0000 5.76E+14 0.0000 7.51E+12169.13269209 0.6720256306 2.6326241082 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-63.592464107 -1.460966607 2.5931770594 3.1 0.0000 4.34E+15 0.0000 5.66E+13-58.762941763 1.6830525553 2.6042813568 3.2 0.0000 -1.19E+16 0.0000 -1.56E+14153.22702722 -1.290698576 2.6238990558 3.3 0.0000 3.27E+16 0.0000 4.27E+14

-187.58061103 0.458754565 2.5823018552 3.4 0.0000 -9E+16 0.0000 -1.17E+15152.91383099 0.4905285156 2.6297660092 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-65.503309113 -1.211036535 2.5937406082 3.6 0.0000 -6.77E+17 0.0000 -8.84E+15-40.42437675 1.4579245074 2.6060850068 3.7 0.0000 1.86E+18 0.0000 2.43E+16125.94266898 -1.169498743 2.6205062951 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-161.61160636 0.4789926185 2.5859809889 3.9 0.0000 1.4E+19 0.0000 1.83E+17137.47439084 0.3440371111 2.6271324753 4 0.0000 -3.85E+19 0.0000 -5E+17

-65.523959706 -0.997779172 2.5944453723 4.1 0.0000 1.06E+20 0.0000 1.38E+18-25.819589532 1.2579261011 2.6074527187 4.2 0.0000 -2.9E+20 0.0000 -3.78E+18102.79666899 -1.053546088 2.6176717194 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-138.68267972 0.4838356966 2.5891861998 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19122.95113292 0.2269169442 2.6247238319 4.5 0.0000 6E+21 0.0000 7.83E+19

-64.128537024 -0.816579148 2.5952407217 4.6 0.0000 -1.65E+22 0.0000 -2.15E+20-14.325627247 1.0810545549 2.6084644921 4.7 0.0000 4.52E+22 0.0000 5.9E+2083.248410366 -0.944019956 2.615316222 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-118.52428226 0.4770446895 2.5919674587 4.9 0.0000 3.41E+23 0.0000 4.45E+21109.42675465 0.1343157402 2.6225354802 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-61.702617411 -0.663289589 2.5960867877 5.1 0.0000 2.57E+24 0.0000 3.35E+22

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-5.408956505 0.9253119434 2.6091879054 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2266.815539378 -0.84166522 2.6133702416 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-100.87488383 0.4616867609 2.5943713187 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2396.941682547 0.0620715188 2.6205592327 5.5 0.0000 1.46E+26 0.0000 1.91E+24

-58.557160722 -0.534203787 2.5969526193 5.6 0.0000 -4E+26 0.0000 -5.23E+241.3854986463 0.7887469977 2.6096797798 5.7 0.0000 1.1E+27 0.0000 1.44E+2553.069723684 -0.746885321 2.6117728636 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-85.484591141 0.4402434768 2.5964407714 5.9 0.0000 8.3E+27 0.0000 1.08E+2685.503814586 0.0066289017 2.6187843903 6 0.0000 -2.28E+28 0.0000 -3E+26

-54.940548362 -0.426024501 2.5978146103 6.1 0.0000 6.25E+28 0.0000 8.16E+266.444255931 0.6694854072 2.6099876557 6.2 0.0000 -1.72E+29 0.0000 -2.24E+27

41.632312369 -0.659819306 2.6104709607 6.3 0.0000 4.71E+29 0.0000 6.15E+27-72.117606918 0.4147043959 2.5982152152 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2875.096517003 -0.03503663 2.6171986035 6.5 0.0000 3.55E+30 0.0000 4.64E+28-51.04894643 -0.335832151 2.5986551645 6.6 0.0000 -9.76E+30 0.0000 -1.27E+2910.094164908 0.5657508564 2.6101510998 6.7 0.0000 2.68E+31 0.0000 3.49E+2932.170015839 -0.580405212 2.609418382 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29

-60.553768142 0.3866477562 2.5997305091 6.9 0.0000 2.02E+32 0.0000 2.63E+3065.685141562 -0.06548689 2.6157885524 7 0.0000 -5.54E+32 0.0000 -7.23E+30

-47.035191343 -0.261052866 2.5994615646 7.1 0.0000 1.52E+33 0.0000 1.99E+3112.610349834 0.4758786695 2.6102028548 7.2 0.0000 -4.18E+33 0.0000 -5.45E+3124.390693601 -0.508431871 2.6085751948 7.3 0.0000 1.15E+34 0.0000 1.5E+32

-50.589361445 0.3573097612 2.6010190893 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3257.222294462 -0.086881999 2.6145404774 7.5 0.0000 8.65E+34 0.0000 1.13E+33-43.01637756 -0.199427109 2.600225022 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3314.223272098 0.3983236266 2.6101698479 7.7 0.0000 6.52E+35 0.0000 8.5E+33

18.03931357 -0.443580911 2.6079069836 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34-42.037379577 0.3276438348 2.6021101298 7.9 0.0000 4.91E+36 0.0000 6.41E+34

49.65205683 -0.10103472 2.6134405856 8 0.0000 -1.35E+37 0.0000 -1.76E+35-39.080309887 -0.148979412 2.600939879 8.1 0.0000 3.7E+37 0.0000 4.83E+3515.124981218 0.3316632435 2.6100740706 8.2 0.0000 -1E+38 0.0000 -1.33E+3612.894126812 -0.385460535 2.607384206 8.3 0.0000 2.79E+38 0.0000 3.64E+36

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-28.504872048 0.2700231206 2.6038011418 8.9 0.0000 1.2E+41 0.0000 1.56E+3936.942447607 -0.113410675 2.6116317641 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-31.693103443 -0.074965693 2.6022129457 9.1 0.0000 9.01E+41 0.0000 1.18E+4015.403276197 0.2259464979 2.609761986 9.2 0.0000 -2.47E+42 0.0000 -3.23E+405.4805237051 -0.287632674 2.6066776772 9.3 0.0000 6.79E+42 0.0000 8.86E+40

-23.230872799 0.2429781494 2.604444951 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4131.675198665 -0.113928482 2.6108974343 9.5 0.0000 5.12E+43 0.0000 6.68E+41

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27.048339822 -0.11186313 2.6102607467 10 0.0000 -8E+45 0.0000 -1E+44-25.177266758 -0.027839903 2.603275595 10.1 0.0000 2.19E+46 0.0000 2.86E+4414.406377843 0.1497369783 2.6093704488 10.2 0.0000 -6E+46 0.0000 -7.85E+440.9119929209 -0.211230587 2.6062957684 10.3 0.0000 1.65E+47 0.0000 2.16E+45

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-0.5995959941 -0.179901966 2.6061894799 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-11.920727685 0.1717462446 2.6057816938 10.9 0.0000 7.08E+49 0.0000 9.23E+4719.474059592 -0.102621729 2.6092379196 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-19.637916967 0.0006768931 2.6041406778 11.1 0.0000 5.33E+50 0.0000 6.96E+4812.768844746 0.0957826463 2.6089636548 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-1.7187637863 -0.152565212 2.6061245265 11.3 0.0000 4.02E+51 0.0000 5.25E+49-9.3252444871 0.1515909785 2.6060758149 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5016.413506348 -0.096453245 2.6088327015 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-17.233063526 0.0099156243 2.6045058205 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5111.842976157 0.0753066349 2.6087669334 11.7 0.0000 2.28E+53 0.0000 2.98E+51

-2.5199361467 -0.128806723 2.606091929 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-7.1806069934 0.1332319196 2.6063131889 11.9 0.0000 1.72E+54 0.0000 2.25E+5213.767935296 -0.089756595 2.6084869551 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-15.060920532 0.016621306 2.6048301907 12.1 0.0000 1.3E+55 0.0000 1.69E+5310.894555005 0.0583499449 2.6085787532 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-3.0657001244 -0.108239692 2.6060842658 12.3 0.0000 9.78E+55 0.0000 1.28E+54-5.4198018489 0.1166134141 2.6065029519 12.4 0.0000 -2.69E+56 0.0000 -3.51E+5411.490123536 -0.082808578 2.6081931937 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-13.109833495 0.0212855143 2.6051170405 12.6 0.0000 -2E+57 0.0000 -2.64E+559.9496652875 0.0443941087 2.6084010217 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-3.4084287714 -0.090505707 2.6060954418 12.8 0.0000 -1.53E+58 0.0000 -2E+56-3.9843757189 0.1016563025 2.6066529715 12.9 0.0000 4.19E+58 0.0000 5.47E+569.5367855491 -0.075821912 2.607944691 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-11.366314118 0.0243203646 2.6053696136 13.1 0.0000 3.16E+59 0.0000 4.12E+579.0277661287 0.0329862129 2.6082349425 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-3.5917178243 -0.075275338 2.6061204862 13.3 0.0000 2.38E+60 0.0000 3.11E+58-2.8235447894 0.0882655259 2.6067699956 13.4 0.0000 -6.54E+60 0.0000 -8.53E+587.8685166857 -0.068956741 2.6077354349 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-9.8157911426 0.0260695875 2.6055910772 13.6 0.0000 -4.93E+61 0.0000 -6.43E+598.1429360614 0.0237321929 2.6080811663 13.7 0.0000 1.35E+62 0.0000 1.77E+60-3.651650679 -0.062247956 2.6061553781 13.8 0.0000 -3.71E+62 0.0000 -4.85E+60

-1.8933627 0.0763361647 2.6068597886 13.9 0.0000 1.02E+63 0.0000 1.33E+616.4496672876 -0.062330384 2.6075600776 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-8.4431959967 0.026818297 2.6057844733 14.1 0.0000 7.69E+63 0.0000 1E+627.3049207747 0.0162905424 2.6079399152 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-3.6179075308 -0.051150973 2.6061968937 14.3 0.0000 5.79E+64 0.0000 7.56E+62-1.1559501549 0.0657581732 2.6069272537 14.4 0.0000 -1.59E+65 0.0000 -2.08E+635.2481675543 -0.056025565 2.6074138841 14.5 0.0000 4.37E+65 0.0000 5.7E+63

-7.2334121185 0.0268015676 2.6059526843 14.6 0.0000 -1.2E+66 0.0000 -1.56E+646.5200110995 0.0103664716 2.6078110862 14.7 0.0000 3.29E+66 0.0000 4.29E+64

Page 304: Hojas de Calculo Fransua

-3.5147339213 -0.041738675 2.606242476 14.8 0.0000 -9E+66 0.0000 -1.18E+65-0.5787873139 0.0564200366 2.6069765441 14.9 0.0000 2.48E+67 0.0000 3.24E+654.2353192985 -0.050097313 2.6072926803 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-6.1716125001 0.0262119362 2.6060984114 15.1 0.0000 1.87E+68 0.0000 2.44E+665.7917749543 0.0057065255 2.6076943345 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-3.3617831374 -0.033790762 2.6062901226 15.3 0.0000 1.41E+69 0.0000 1.84E+67-0.13406844 0.0482115404 2.6070111615 15.4 0.0000 -3.87E+69 0.0000 -5.05E+67

3.3855673854 -0.044578736 2.6071928018 15.5 0.0000 1.06E+70 0.0000 1.39E+68-5.2435062515 0.0252059357 2.6062241618 15.6 0.0000 -2.92E+70 0.0000 -3.81E+685.1216641526 0.0020936637 2.6075891418 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.1748459928 -0.027110713 2.6063382893 15.8 0.0000 -2.2E+71 0.0000 -2.87E+690.2018829333 0.0410258178 2.6070340445 15.9 0.0000 6.04E+71 0.0000 7.88E+692.6762608793 -0.039485804 2.6071110452 16 0.0000 -1.66E+72 0.0000 -2.16E+70

-4.4355117162 0.0239097645 2.6063322432 16.1 0.0000 4.55E+72 0.0000 5.94E+704.5095144266 -0.000657209 2.607494871 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-2.9664805543 -0.021524046 2.6063858083 16.3 0.0000 3.43E+73 0.0000 4.48E+710.4491409146 0.0347608097 2.6070476464 16.4 0.0000 -9.42E+73 0.0000 -1.23E+722.0874116234 -0.034821316 2.6070446211 16.5 0.0000 2.59E+74 0.0000 3.37E+72

-3.7348708514 0.0224241846 2.6064247645 16.6 0.0000 -7.1E+74 0.0000 -9.26E+723.9539547092 -0.002703276 2.60741081 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.7465533729 -0.016876544 2.606431819 16.8 0.0000 -5.35E+75 0.0000 -7E+730.6246494449 0.0293202557 2.6070540046 16.9 0.0000 1.47E+76 0.0000 1.92E+741.6014560968 -0.030578142 2.6069911103 17 0.0000 -4E+76 0.0000 -5.26E+74

-3.1297171576 0.0208287384 2.6065036401 17.1 0.0000 1.11E+77 0.0000 1.44E+753.4527396442 -0.004177435 2.6073362053 17.2 0.0000 -3E+77 0.0000 -4E+75

-2.5227027844 -0.013032484 2.6064757094 17.3 0.0000 8.35E+77 0.0000 1.09E+760.7426433358 0.0246143105 2.6070548008 17.4 0.0000 -2.29E+78 0.0000 -3E+761.2030248525 -0.026741868 2.6069484229 17.5 0.0000 6.29E+78 0.0000 8.21E+76

-2.6091073551 0.0191853634 2.6065705977 17.6 0.0000 -1.73E+79 0.0000 -2.25E+773.0030174396 -0.005191531 2.6072702893 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.3007338698 -0.00987292 2.6065170668 17.8 0.0000 -1.3E+80 0.0000 -1.7E+780.8150219336 0.0205598685 2.6070514142 17.9 0.0000 3.57E+80 0.0000 4.66E+78

0.878722599 -0.02329294 2.6069147606 18 0.0000 -9.81E+80 0.0000 -1.28E+79-2.1630252292 0.017541479 2.6066271876 18.1 0.0000 2.69E+81 0.0000 3.52E+792.6015435294 -0.005839234 2.6072122999 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-2.0849537274 -0.007294032 2.6065556366 18.3 0.0000 2.03E+82 0.0000 2.65E+800.8516792561 0.0170806603 2.607044968 18.4 0.0000 -5.58E+82 0.0000 -7.28E+800.6169209873 -0.020208371 2.6068885825 18.5 0.0000 1.53E+83 0.0000 2E+81

-1.7823645478 0.0159326097 2.6066747944 18.6 0.0000 -4.2E+83 0.0000 -5.48E+812.2448490498 -0.006198588 2.6071614955 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.8784548256 -0.00520556 2.6065912881 18.8 0.0000 -3.17E+84 0.0000 -4.13E+820.8607944231 0.0141071794 2.6070363691 18.9 0.0000 8.7E+84 0.0000 1.13E+83

0.407565376 -0.017463102 2.606868573 19 0.0000 -2.39E+85 0.0000 -3.12E+83-1.4588966737 0.0143846073 2.6067146483 19.1 0.0000 6.56E+85 0.0000 8.55E+831.9293718459 -0.006334249 2.6071171662 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84-1.683353368 -0.003529346 2.6066239865 19.3 0.0000 4.94E+86 0.0000 6.45E+840.8490860947 0.0115764805 2.6070263432 19.4 0.0000 -1.36E+87 0.0000 -1.77E+850.2419962255 -0.015031057 2.6068536144 19.5 0.0000 3.72E+87 0.0000 4.86E+85

Page 305: Hojas de Calculo Fransua

-1.1852274116 0.0129155222 2.6067478377 19.6 0.0000 -1E+88 0.0000 -1.33E+861.6515565959 -0.006299458 2.6070786409 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.5009888342 -0.002197979 2.606653769 19.8 0.0000 -7.71E+88 0.0000 -1E+870.8220344757 0.0094318875 2.6070154644 19.9 0.0000 2.12E+89 0.0000 2.76E+870.1127852947 -0.012885964 2.6068427606 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Aceleracion promedioβ 0.25δ 0.5

Aceleracion linealβ 0.17δ 0.5

positivo negativo maximo3.6782449229 -2.65429096 3.6782449229

6.773862191 6.8937396272 6.8937396272209.02881376 174.29853882 209.02881376

62.8318530720.0159154943639.20632983

NO ESTABLE

METODO DE ACELERACION PROMEDIO METODO DE ACELERACION LINEALΔU´´i U´i Ui ti Pi ϋi Δpi ΔP^i

59.147719379 2.8 2.7 0 0.0000 0 5.0000 5-236.13938666 6.773862191 3.1786931095 0.1 5.0000 250.0566 3.6603 8.256614284.10883057 1.8981410179 3.61229327 0.2 8.6603 -837.3589 1.3397 -9.057642-240.4405843 -0.579107959 3.6782449229 0.3 10.0000 2233.47 -1.3397 27.9842125.90141751 -0.872944623 3.6056422938 0.4 8.6603 -6244.01 -3.6603 -85.5545161.853526758 -6.893739627 3.2173080812 0.5 5.0000 17064.35 -5.0000 216.83266.8539766145 -3.526787417 2.696281729 0.6 0.0000 -46890.61 0.0000 -612.9178

-245.74880091 3.2755399609 2.6837193562 0.7 0.0000 129001.2 0.0000 1683.659383.32735257 -1.866873875 2.7541526605 0.8 0.0000 -354259 0.0000 -4622.764

-376.07518248 -0.130360128 2.6542909603 0.9 0.0000 972642.8 0.0000 12691.83234.72289174 1.9687621232 2.74621106 1 0.0000 -2670386 0.0000 -34845.27

-17.360652225 -2.999730163 2.694662658 1.1 0.0000 7331509 0.0000 95667.17-193.9991255 2.8998895271 2.6896706263 1.2 0.0000 -2E+07 0.0000 -262653324.09844439 -1.768479669 2.7462411192 1.3 0.0000 55262633 0.0000 721109.3

-330.97112585 0.068117079 2.6612229896 1.4 0.0000 -1.52E+08 0.0000 -1979795219.08211169 1.5610797542 2.7426828313 1.5 0.0000 4.17E+08 0.0000 5435497-35.12196567 -2.540408279 2.6937164051 1.6 0.0000 -1.14E+09 0.0000-14923077

-151.06482736 2.5561109888 2.6945015406 1.7 0.0000 3.14E+09 0.0000 40971085272.7613519 -1.656709395 2.7394716202 1.8 0.0000 -8.62E+09 0.0000 -1.12E+08

-290.06461278 0.2152964473 2.6674009728 1.9 0.0000 2.37E+10 0.0000 3.09E+08202.65085303 1.222139246 2.7392727575 2 0.0000 -6.5E+10 0.0000 -8.48E+08

-47.667735632 -2.141705943 2.6932944227 2.1 0.0000 1.78E+11 0.0000 2.33E+09

Δůi

L6458
el tiempo lo vamos a variar
M6458
ESTE ES EL DATO QUE VA A VARIAR
O6458
este dato no es igual al de la segunda columna?
I6459
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
N6459
este ES IGUAL AL DE LAS TABLA DE CALCULOS INICIALES?
Page 306: Hojas de Calculo Fransua

-115.65713332 2.2436047382 2.6983893624 2.2 0.0000 -4.9E+11 0.0000 -6.39E+09228.4401103 -1.537328028 2.7337031979 2.3 0.0000 1.34E+12 0.0000 1.75E+10

-253.1825935 0.3208880548 2.6728811993 2.4 0.0000 -3.69E+12 0.0000 -4.82E+10185.98138356 0.9419799778 2.7360246009 2.5 0.0000 1.01E+13 0.0000 1.32E+11

-56.037273315 -1.796988596 2.69327417 2.6 0.0000 -2.78E+13 0.0000 -3.63E+11-86.648772927 1.961248342 2.7014871573 2.7 0.0000 7.64E+13 0.0000 9.97E+11190.32761268 -1.414817032 2.7288087228 2.8 0.0000 -2.1E+14 0.0000 -2.74E+12

-220.10880835 0.3930595821 2.6777208503 2.9 0.0000 5.76E+14 0.0000 7.51E+12169.49244401 0.7118764126 2.73296765 3 0.0000 -1.58E+15 0.0000 -2.06E+13

-61.098877318 -1.500124974 2.693555222 3.1 0.0000 4.34E+15 0.0000 5.66E+13-63.057703323 1.707551974 2.703926572 3.2 0.0000 -1.19E+16 0.0000 -1.56E+14157.68570097 -1.29260011 2.7246741652 3.3 0.0000 3.27E+16 0.0000 4.27E+14-190.5992929 0.438647688 2.681976544 3.4 0.0000 -9E+16 0.0000 -1.17E+15153.49375579 0.5242158895 2.7301197229 3.5 0.0000 2.47E+17 0.0000 3.22E+15

-63.574072727 -1.245492764 2.6940558792 3.6 0.0000 -6.77E+17 0.0000 -8.84E+15-44.031793062 1.4807827349 2.7058203777 3.7 0.0000 1.86E+18 0.0000 2.43E+16129.84374948 -1.173235055 2.7211977617 3.8 0.0000 -5.1E+18 0.0000 -6.66E+16

-164.39458689 0.4633449756 2.6857032577 3.9 0.0000 1.4E+19 0.0000 1.83E+17138.20672316 0.3723831361 2.7274896633 4 0.0000 -3.85E+19 0.0000 -5E+17

-64.058924959 -1.02797189 2.6947102256 4.1 0.0000 1.06E+20 0.0000 1.38E+18-28.834554078 1.2790629939 2.7072647808 4.2 0.0000 -2.9E+20 0.0000 -3.78E+18106.19614995 -1.058576074 2.7182891268 4.3 0.0000 7.96E+20 0.0000 1.04E+19

-141.22921152 0.471864652 2.6889535557 4.4 0.0000 -2.19E+21 0.0000 -2.85E+19123.78183936 0.2506522997 2.7250794033 4.5 0.0000 6E+21 0.0000 7.83E+19-63.04270384 -0.84292866 2.6954655852 4.6 0.0000 -1.65E+22 0.0000 -2.15E+20

-16.831965781 1.1004471556 2.70834151 4.7 0.0000 4.52E+22 0.0000 5.9E+2086.199027973 -0.949910509 2.7158683423 4.8 0.0000 -1.24E+23 0.0000 -1.62E+21

-120.83889688 0.4680849353 2.6917770636 4.9 0.0000 3.41E+23 0.0000 4.45E+21110.31324959 0.1540869346 2.7228856571 5 0.0000 -9.36E+23 0.0000 -1.22E+22

-60.924161322 -0.686193431 2.6962803323 5.1 0.0000 2.57E+24 0.0000 3.35E+22-7.4804008269 0.9429806171 2.7091196916 5.2 0.0000 -7.06E+24 0.0000 -9.21E+2269.366454586 -0.848073442 2.7138650503 5.3 0.0000 1.94E+25 0.0000 2.53E+23

-102.96596884 0.455175186 2.6942201375 5.4 0.0000 -5.32E+25 0.0000 -6.94E+2397.850870946 0.0784481015 2.7209013019 5.5 0.0000 1.46E+26 0.0000 1.91E+24-58.02567146 -0.554033878 2.697122013 5.6 0.0000 -4E+26 0.0000 -5.23E+24

-0.3156359473 0.8047441168 2.709657525 5.7 0.0000 1.1E+27 0.0000 1.44E+2555.266361304 -0.753543259 2.7122175679 5.8 0.0000 -3E+27 0.0000 -3.94E+25

-87.363241404 0.4357056336 2.6963256866 5.9 0.0000 8.3E+27 0.0000 1.08E+2686.41042185 0.020110521 2.7191164944 6 0.0000 -2.28E+28 0.0000 -3E+26

-54.605464903 -0.443125569 2.697965742 6.1 0.0000 6.25E+28 0.0000 8.16E+265.0570879666 0.6838861878 2.7100037729 6.2 0.0000 -1.72E+29 0.0000 -2.24E+2743.516320985 -0.666520902 2.7108720372 6.3 0.0000 4.71E+29 0.0000 6.15E+27

-73.796705961 0.4117424558 2.6981331149 6.4 0.0000 -1.29E+30 0.0000 -1.69E+2875.981669734 -0.024013435 2.7175195659 6.5 0.0000 3.55E+30 0.0000 4.64E+28

-50.868172875 -0.350521137 2.6987928373 6.6 0.0000 -9.76E+30 0.0000 -1.27E+298.9720059203 0.5786460031 2.7101990805 6.7 0.0000 2.68E+31 0.0000 3.49E+2933.779319093 -0.586995204 2.7097816205 6.8 0.0000 -7.35E+31 0.0000 -9.6E+29

-62.047261685 0.3849298394 2.6996783523 6.9 0.0000 2.02E+32 0.0000 2.63E+30

Page 307: Hojas de Calculo Fransua

66.53516682 -0.056542247 2.7160977319 7 0.0000 -5.54E+32 0.0000 -7.23E+30-46.973878029 -0.273619076 2.6995896658 7.1 0.0000 1.52E+33 0.0000 1.99E+3111.710827548 0.4873685342 2.7102771387 7.2 0.0000 -4.18E+33 0.0000 -5.45E+3125.759608824 -0.51479638 2.7089057464 7.3 0.0000 1.15E+34 0.0000 1.5E+32

-51.911690427 0.3565605251 2.7009939537 7.4 0.0000 -3.15E+34 0.0000 -4.11E+3258.027708512 -0.07968665 2.7148376474 7.5 0.0000 8.65E+34 0.0000 1.13E+33

-43.045852162 -0.210132921 2.7003466688 7.6 0.0000 -2.37E+35 0.0000 -3.1E+3313.509858624 0.4085136249 2.710265704 7.7 0.0000 6.52E+35 0.0000 8.5E+3319.198718267 -0.449639506 2.7082094099 7.8 0.0000 -1.79E+36 0.0000 -2.33E+34

-43.203044877 0.3276362083 2.7021092451 7.9 0.0000 4.91E+36 0.0000 6.41E+3450.40671758 -0.095304408 2.7137258351 8 0.0000 -1.35E+37 0.0000 -1.76E+35

-39.177143881 -0.15806139 2.7010575452 8.1 0.0000 3.7E+37 0.0000 4.83E+3514.566312249 0.3406603141 2.7101874914 8.2 0.0000 -1E+38 0.0000 -1.33E+3613.871657428 -0.391159564 2.7076625289 8.3 0.0000 2.79E+38 0.0000 3.64E+36

-35.750588912 0.2989190421 2.7030505029 8.4 0.0000 -7.66E+38 0.0000 -1E+3743.613729433 -0.104948926 2.7127490087 8.5 0.0000 2.1E+39 0.0000 2.75E+37

-35.436163087 -0.115659868 2.7017185689 8.6 0.0000 -5.78E+39 0.0000 -7.54E+3715.043877266 0.2825075066 2.7100609508 8.7 0.0000 1.59E+40 0.0000 2.07E+389.5833565943 -0.338939409 2.7072393557 8.8 0.0000 -4.35E+40 0.0000 -5.68E+38

-29.399403865 0.2709753675 2.7038411536 8.9 0.0000 1.2E+41 0.0000 1.56E+3937.587129128 -0.109912219 2.711894311 9 0.0000 -3.28E+41 0.0000 -4.28E+39

-31.871393923 -0.081413543 2.7023280229 9.1 0.0000 9.01E+41 0.0000 1.18E+4015.077610484 0.2328718942 2.7099009405 9.2 0.0000 -2.47E+42 0.0000 -3.23E+406.1653546523 -0.292531841 2.7069179432 9.3 0.0000 6.79E+42 0.0000 8.86E+40

-24.009753046 0.2442126806 2.7045019852 9.4 0.0000 -1.86E+43 0.0000 -2.43E+4132.264269038 -0.111262717 2.7111494833 9.5 0.0000 5.12E+43 0.0000 6.68E+41

-28.515353492 -0.054012316 2.7028857317 9.6 0.0000 -1.41E+44 0.0000 -1.83E+4214.778217147 0.190683863 2.709719309 9.7 0.0000 3.86E+44 0.0000 5.04E+423.4727459173 -0.251476775 2.7066796634 9.8 0.0000 -1.06E+45 0.0000 -1.38E+43

-19.456278918 0.2189107394 2.7050513616 9.9 0.0000 2.91E+45 0.0000 3.8E+4327.583077078 -0.109878396 2.7105029788 10 0.0000 -8E+45 0.0000 -1E+44

-25.387900487 -0.032327623 2.7033926778 10.1 0.0000 2.19E+46 0.0000 2.86E+4414.235781063 0.1549819795 2.7095253957 10.2 0.0000 -6E+46 0.0000 -7.85E+441.3813863048 -0.215314389 2.7065087752 10.3 0.0000 1.65E+47 0.0000 2.16E+45-15.62709221 0.1952476102 2.7055054362 10.4 0.0000 -4.54E+47 0.0000 -5.92E+4523.483248767 -0.106475685 2.7099440325 10.5 0.0000 1.25E+48 0.0000 1.63E+46

-22.498985698 -0.015391153 2.7038506905 10.6 0.0000 -3.42E+48 0.0000 -4.46E+4613.523002245 0.1249065323 2.7093264595 10.7 0.0000 9.39E+48 0.0000 1.23E+47

-0.2146461043 -0.183594955 2.7063920384 10.8 0.0000 -2.58E+49 0.0000 -3.36E+47-12.422799725 0.1733213653 2.7058783589 10.9 0.0000 7.08E+49 0.0000 9.23E+4719.907101942 -0.101634606 2.7094626968 11 0.0000 -1.94E+50 0.0000 -2.54E+48

-19.850925296 -0.002375467 2.7042621932 11.1 0.0000 5.33E+50 0.0000 6.96E+4812.697996007 0.0996925048 2.7091280451 11.2 0.0000 -1.46E+51 0.0000 -1.91E+49

-1.4053452979 -0.155885988 2.7063183709 11.3 0.0000 4.02E+51 0.0000 5.25E+49-9.7555071585 0.1531680547 2.7061824743 11.4 0.0000 -1.1E+52 0.0000 -1.44E+5016.800160415 -0.095820525 2.7090498507 11.5 0.0000 3.03E+52 0.0000 3.96E+50

-17.440267763 0.0074235573 2.7046300023 11.6 0.0000 -8.32E+52 0.0000 -1.09E+5111.806703343 0.0786622726 2.7089342938 11.7 0.0000 2.28E+53 0.0000 2.98E+51

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-2.2668385265 -0.131777233 2.7062785458 11.8 0.0000 -6.27E+53 0.0000 -8.18E+51-7.5478246813 0.1347765022 2.7064285092 11.9 0.0000 1.72E+54 0.0000 2.25E+5214.111522063 -0.089402923 2.7086971882 12 0.0000 -4.73E+54 0.0000 -6.17E+52

-15.259316287 0.0146025209 2.7049571681 12.1 0.0000 1.3E+55 0.0000 1.69E+5310.884958276 0.0612182536 2.7087482068 12.2 0.0000 -3.56E+55 0.0000 -4.65E+53

-2.8632285826 -0.110883914 2.7062649238 12.3 0.0000 9.78E+55 0.0000 1.28E+54-5.7318959992 0.1181004025 2.7066257482 12.4 0.0000 -2.69E+56 0.0000 -3.51E+5411.794057538 -0.08267151 2.7083971929 12.5 0.0000 7.38E+56 0.0000 9.62E+54

-13.297360351 0.019664655 2.7052468501 12.6 0.0000 -2E+57 0.0000 -2.64E+559.960253796 0.046835679 2.7085718668 12.7 0.0000 5.56E+57 0.0000 7.25E+55

-3.2482324607 -0.092848625 2.7062712195 12.8 0.0000 -1.53E+58 0.0000 -2E+56-4.2484659048 0.1030681383 2.7067821952 12.9 0.0000 4.19E+58 0.0000 5.47E+569.8044778637 -0.075850017 2.7081431013 13 0.0000 -1.15E+59 0.0000 -1.5E+57

-11.541662995 0.0230324259 2.7055022217 13.1 0.0000 3.16E+59 0.0000 4.12E+579.0532440271 0.035055612 2.7084066236 13.2 0.0000 -8.67E+59 0.0000 -1.13E+58

-3.4666322335 -0.07734215 2.7062922967 13.3 0.0000 2.38E+60 0.0000 3.11E+58-3.0459967337 0.0895906773 2.7069047231 13.4 0.0000 -6.54E+60 0.0000 -8.53E+588.1033023514 -0.069107944 2.7079288598 13.5 0.0000 1.79E+61 0.0000 2.34E+59

-9.9782438472 0.0250587164 2.7057263984 13.6 0.0000 -4.93E+61 0.0000 -6.43E+598.1790165121 0.0254783016 2.7082532493 13.7 0.0000 1.35E+62 0.0000 1.77E+60

-3.5555540523 -0.06406348 2.7063239904 13.8 0.0000 -3.71E+62 0.0000 -4.85E+60-2.0798404732 0.0775678615 2.7069992095 13.9 0.0000 1.02E+63 0.0000 1.33E+616.6547525838 -0.062570523 2.7077490764 14 0.0000 -2.8E+63 0.0000 -3.65E+61

-8.5924923372 0.0260366974 2.7059223851 14.1 0.0000 7.69E+63 0.0000 1E+627.3481649256 0.0177569305 2.7081120665 14.2 0.0000 -2.11E+64 0.0000 -2.75E+62

-3.5455908822 -0.052739207 2.7063629527 14.3 0.0000 5.79E+64 0.0000 7.56E+62-1.3114703754 0.0668933575 2.7070706602 14.4 0.0000 -1.59E+65 0.0000 -2.08E+63

5.426593289 -0.056327141 2.707598971 14.5 0.0000 4.37E+65 0.0000 5.7E+63-7.3696405165 0.0262085067 2.7060930393 14.6 0.0000 -1.2E+66 0.0000 -1.56E+64

6.56768923 0.0115917928 2.7079830543 14.7 0.0000 3.29E+66 0.0000 4.29E+64-3.4617840301 -0.043122486 2.7064065197 14.8 0.0000 -9E+66 0.0000 -1.18E+65-0.7077736828 0.0574584962 2.7071233202 14.9 0.0000 2.48E+67 0.0000 3.24E+654.3899368772 -0.050438408 2.7074743246 15 0.0000 -6.81E+67 0.0000 -8.89E+65

-6.2951205619 0.0257728481 2.7062410466 15.1 0.0000 1.87E+68 0.0000 2.44E+665.8417472127 0.0067249196 2.707865935 15.2 0.0000 -5.13E+68 0.0000 -6.7E+66

-3.3244777849 -0.034991676 2.7064525972 15.3 0.0000 1.41E+69 0.0000 1.84E+67-0.2404053497 0.0491551992 2.7071607733 15.4 0.0000 -3.87E+69 0.0000 -5.05E+673.5190249663 -0.044942082 2.7073714292 15.5 0.0000 1.06E+70 0.0000 1.39E+68

-5.3548282102 0.0248916176 2.706368906 15.6 0.0000 -2.92E+70 0.0000 -3.81E+685.1722785356 0.002935155 2.7077602446 15.7 0.0000 8.01E+70 0.0000 1.05E+69

-3.1500606228 -0.028148791 2.7064995628 15.8 0.0000 -2.2E+71 0.0000 -2.87E+690.1147986365 0.0418781579 2.7071860311 15.9 0.0000 6.04E+71 0.0000 7.88E+692.7909973804 -0.039857992 2.7072870394 16 0.0000 -1.66E+72 0.0000 -2.16E+70

-4.5353100726 0.0236956587 2.7064789227 16.1 0.0000 4.55E+72 0.0000 5.94E+704.5595198682 3.367489E-05 2.7076653894 16.2 0.0000 -1.25E+73 0.0000 -1.63E+71

-2.9516054987 -0.022417819 2.7065461822 16.3 0.0000 3.43E+73 0.0000 4.48E+710.3783506658 0.0355264053 2.7072016115 16.4 0.0000 -9.42E+73 0.0000 -1.23E+722.1856567406 -0.035192112 2.7072183262 16.5 0.0000 2.59E+74 0.0000 3.37E+72

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-3.8238899052 0.0222897413 2.7065732076 16.6 0.0000 -7.1E+74 0.0000 -9.26E+724.0024273571 -0.002140064 2.7075806915 16.7 0.0000 1.95E+75 0.0000 2.54E+73

-2.7394207726 -0.017642996 2.7065915385 16.8 0.0000 -5.35E+75 0.0000 -7E+730.5675866277 0.0300044004 2.7072096087 16.9 0.0000 1.47E+76 0.0000 1.92E+741.6852348215 -0.03093991 2.7071628332 17 0.0000 -4E+76 0.0000 -5.26E+74

-3.2087464434 0.0207568518 2.7066536803 17.1 0.0000 1.11E+77 0.0000 1.44E+753.4990205999 -0.003721967 2.7075054245 17.2 0.0000 -3E+77 0.0000 -4E+75-2.521522345 -0.013687079 2.7066349722 17.3 0.0000 8.35E+77 0.0000 1.09E+760.6970901424 0.0252227227 2.7072117544 17.4 0.0000 -2.29E+78 0.0000 -3E+761.2741652637 -0.027089086 2.7071184362 17.5 0.0000 6.29E+78 0.0000 8.21E+76

-2.6789532851 0.0191618756 2.7067220757 17.6 0.0000 -1.73E+79 0.0000 -2.25E+773.0466604246 -0.004826564 2.7074388413 17.7 0.0000 4.74E+79 0.0000 6.19E+77

-2.3040366167 -0.010429646 2.7066760308 17.8 0.0000 -1.3E+80 0.0000 -1.7E+780.7790695451 0.0210984615 2.7072094715 17.9 0.0000 3.57E+80 0.0000 4.66E+780.9388659381 -0.023621784 2.7070833054 18 0.0000 -9.81E+80 0.0000 -1.28E+79

-2.2244894917 0.0175547442 2.7067799534 18.1 0.0000 2.69E+81 0.0000 3.52E+792.6422711131 -0.005549905 2.7073801953 18.2 0.0000 -7.4E+81 0.0000 -9.65E+79

-2.0915429636 -0.007765473 2.7067144264 18.3 0.0000 2.03E+82 0.0000 2.65E+800.8236913669 0.0175553662 2.7072039211 18.4 0.0000 -5.58E+82 0.0000 -7.28E+800.6675332274 -0.020516374 2.7070558707 18.5 0.0000 1.53E+83 0.0000 2E+81

-1.8362280309 0.0159731149 2.7068287077 18.6 0.0000 -4.2E+83 0.0000 -5.48E+812.2825162309 -0.005972136 2.7073287567 18.7 0.0000 1.15E+84 0.0000 1.51E+82

-1.8873635393 -0.005602977 2.706750001 18.8 0.0000 -3.17E+84 0.0000 -4.13E+820.8393740554 0.0145238166 2.707196043 18.9 0.0000 8.7E+84 0.0000 1.13E+83

0.44994966 -0.017748864 2.7070347906 19 0.0000 -2.39E+85 0.0000 -3.12E+83-1.5059078733 0.0144446412 2.7068695795 19.1 0.0000 6.56E+85 0.0000 8.55E+83

1.963935926 -0.006159764 2.7072838234 19.2 0.0000 -1.8E+86 0.0000 -2.35E+84-1.6938073884 -0.003862767 2.7067826968 19.3 0.0000 4.94E+86 0.0000 6.45E+840.8330455914 0.0119406569 2.7071865913 19.4 0.0000 -1.36E+87 0.0000 -1.77E+850.2773056875 -0.015294009 2.7070189237 19.5 0.0000 3.72E+87 0.0000 4.86E+85

-1.2260944469 0.0129888892 2.7069036677 19.6 0.0000 -1E+88 0.0000 -1.33E+861.6830524139 -0.006167651 2.7072447296 19.7 0.0000 2.81E+88 0.0000 3.66E+86

-1.5123750853 -0.002476292 2.7068125325 19.8 0.0000 -7.71E+88 0.0000 -1E+870.81036852 0.0097489328 2.7071761645 19.9 0.0000 2.12E+89 0.0000 2.76E+87

0.1420358926 -0.013126171 2.7070073026 20 0.0000 -5.81E+89 0.0000 -7.58E+87

Page 310: Hojas de Calculo Fransua

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

R20
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S20
uí es cual el de la ultima columna o el fijo de datos?
T21
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 311: Hojas de Calculo Fransua

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

Page 312: Hojas de Calculo Fransua

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

Page 313: Hojas de Calculo Fransua

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

Page 314: Hojas de Calculo Fransua

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

Page 315: Hojas de Calculo Fransua

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

R242
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S242
uí es cual el de la ultima columna o el fijo de datos?
T243
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 316: Hojas de Calculo Fransua

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

Page 317: Hojas de Calculo Fransua

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

Page 318: Hojas de Calculo Fransua

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81

Page 319: Hojas de Calculo Fransua

-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962

R464
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S464
uí es cual el de la ultima columna o el fijo de datos?
T465
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 320: Hojas de Calculo Fransua

-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

Page 321: Hojas de Calculo Fransua

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

Page 322: Hojas de Calculo Fransua

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68

Page 323: Hojas de Calculo Fransua

-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativo

Page 324: Hojas de Calculo Fransua

MAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

R686
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S686
uí es cual el de la ultima columna o el fijo de datos?
T687
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 325: Hojas de Calculo Fransua

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

Page 326: Hojas de Calculo Fransua

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

Page 327: Hojas de Calculo Fransua

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

Page 328: Hojas de Calculo Fransua

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

R908
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S908
uí es cual el de la ultima columna o el fijo de datos?
T909
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 329: Hojas de Calculo Fransua

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

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-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

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-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

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-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

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-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

R1130
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S1130
uí es cual el de la ultima columna o el fijo de datos?
T1131
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
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-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

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-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

Page 336: Hojas de Calculo Fransua

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

Page 337: Hojas de Calculo Fransua

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

Page 338: Hojas de Calculo Fransua

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

R1352
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S1352
uí es cual el de la ultima columna o el fijo de datos?
T1353
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 339: Hojas de Calculo Fransua

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

Page 340: Hojas de Calculo Fransua

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

Page 341: Hojas de Calculo Fransua

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

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-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441

R1574
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S1574
uí es cual el de la ultima columna o el fijo de datos?
T1575
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 343: Hojas de Calculo Fransua

-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

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-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

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-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

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-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

Page 347: Hojas de Calculo Fransua

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

R1796
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S1796
uí es cual el de la ultima columna o el fijo de datos?
T1797
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 348: Hojas de Calculo Fransua

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

Page 349: Hojas de Calculo Fransua

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

Page 350: Hojas de Calculo Fransua

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

Page 351: Hojas de Calculo Fransua

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

Page 352: Hojas de Calculo Fransua

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

R2018
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S2018
uí es cual el de la ultima columna o el fijo de datos?
T2019
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 353: Hojas de Calculo Fransua

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

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-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

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-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81

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-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962

R2240
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S2240
uí es cual el de la ultima columna o el fijo de datos?
T2241
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 357: Hojas de Calculo Fransua

-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

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-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

Page 359: Hojas de Calculo Fransua

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68

Page 360: Hojas de Calculo Fransua

-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativo

Page 361: Hojas de Calculo Fransua

MAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

R2462
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S2462
uí es cual el de la ultima columna o el fijo de datos?
T2463
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 362: Hojas de Calculo Fransua

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

Page 363: Hojas de Calculo Fransua

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

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-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

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-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

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-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

R2684
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S2684
uí es cual el de la ultima columna o el fijo de datos?
T2685
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 366: Hojas de Calculo Fransua

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

Page 367: Hojas de Calculo Fransua

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

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-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

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-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

Page 370: Hojas de Calculo Fransua

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

R2906
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S2906
uí es cual el de la ultima columna o el fijo de datos?
T2907
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 371: Hojas de Calculo Fransua

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

Page 372: Hojas de Calculo Fransua

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

Page 373: Hojas de Calculo Fransua

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

Page 374: Hojas de Calculo Fransua

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

Page 375: Hojas de Calculo Fransua

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

R3128
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S3128
uí es cual el de la ultima columna o el fijo de datos?
T3129
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 376: Hojas de Calculo Fransua

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

Page 377: Hojas de Calculo Fransua

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

Page 378: Hojas de Calculo Fransua

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

Page 379: Hojas de Calculo Fransua

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441

R3350
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S3350
uí es cual el de la ultima columna o el fijo de datos?
T3351
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 380: Hojas de Calculo Fransua

-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

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-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

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-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

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-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

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-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

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-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

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positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

R3572
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S3572
uí es cual el de la ultima columna o el fijo de datos?
T3573
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
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-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

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-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

Page 387: Hojas de Calculo Fransua

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

Page 388: Hojas de Calculo Fransua

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

Page 389: Hojas de Calculo Fransua

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

R3794
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S3794
uí es cual el de la ultima columna o el fijo de datos?
T3795
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 390: Hojas de Calculo Fransua

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

Page 391: Hojas de Calculo Fransua

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

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-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81

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-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962

R4016
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S4016
uí es cual el de la ultima columna o el fijo de datos?
T4017
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
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-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

Page 395: Hojas de Calculo Fransua

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

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-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68

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-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativo

Page 398: Hojas de Calculo Fransua

MAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

R4238
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S4238
uí es cual el de la ultima columna o el fijo de datos?
T4239
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 399: Hojas de Calculo Fransua

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

Page 400: Hojas de Calculo Fransua

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

Page 401: Hojas de Calculo Fransua

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

Page 402: Hojas de Calculo Fransua

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

R4460
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S4460
uí es cual el de la ultima columna o el fijo de datos?
T4461
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 403: Hojas de Calculo Fransua

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

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-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

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-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

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-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

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-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

R4682
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S4682
uí es cual el de la ultima columna o el fijo de datos?
T4683
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
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-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

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-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

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-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

Page 411: Hojas de Calculo Fransua

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

Page 412: Hojas de Calculo Fransua

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

R4904
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S4904
uí es cual el de la ultima columna o el fijo de datos?
T4905
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 413: Hojas de Calculo Fransua

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

Page 414: Hojas de Calculo Fransua

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

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-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

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-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441

R5126
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S5126
uí es cual el de la ultima columna o el fijo de datos?
T5127
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 417: Hojas de Calculo Fransua

-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

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-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

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-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

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-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

Page 421: Hojas de Calculo Fransua

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

R5348
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S5348
uí es cual el de la ultima columna o el fijo de datos?
T5349
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 422: Hojas de Calculo Fransua

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

Page 423: Hojas de Calculo Fransua

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

Page 424: Hojas de Calculo Fransua

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

Page 425: Hojas de Calculo Fransua

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

Page 426: Hojas de Calculo Fransua

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

R5570
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S5570
uí es cual el de la ultima columna o el fijo de datos?
T5571
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 427: Hojas de Calculo Fransua

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

Page 428: Hojas de Calculo Fransua

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

Page 429: Hojas de Calculo Fransua

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81

Page 430: Hojas de Calculo Fransua

-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962

R5792
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S5792
uí es cual el de la ultima columna o el fijo de datos?
T5793
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 431: Hojas de Calculo Fransua

-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

Page 432: Hojas de Calculo Fransua

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

Page 433: Hojas de Calculo Fransua

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68

Page 434: Hojas de Calculo Fransua

-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativo

Page 435: Hojas de Calculo Fransua

MAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

R6014
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S6014
uí es cual el de la ultima columna o el fijo de datos?
T6015
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 436: Hojas de Calculo Fransua

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

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-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

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-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

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-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

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-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

R6236
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S6236
uí es cual el de la ultima columna o el fijo de datos?
T6237
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 440: Hojas de Calculo Fransua

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

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-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

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-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

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-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

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-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

positivo negativoMAX Ui 1.69E+86 -6.15E+85MAX U´i 4.93E+87 -1.35E+88MAX U´´i 2.12E+89 -5.81E+89

METODO DE ACELERACION LINEALΔUi ΔU´i ΔU´´i U´i Ui

0.416761 12.50283 250.0566 0 00.688207 -29.36511 -1087.416 12.50283 0.416761

-0.754974 69.80556 3070.829 -16.86228 1.1049682.332545 -200.527 -8477.48 52.94328 0.349994

-7.131157 541.0169 23308.36 -147.5837 2.68253818.07348 -1491.313 -63955 393.4332 -4.448619

-51.08805 4105.527 175891.8 -1097.88 13.62486140.3367 -11262.9 -483260 3007.648 -37.46319

-385.3176 30919.18 1326902 -8255.252 102.87351057.892 -84887.17 -3643029 22663.93 -282.4441-2904.43 233056.1 10001895 -62223.24 775.44817974.07 -639852-27460059 170832.9 -2128.982

-21892.69 1756704 75391182 -469019 5845.08860106.06 -4823005 -2.07E+08 1287685 -16047.6

-165020 13241488 5.68E+08 -3535320 44058.45453060.7-36354308 -1.56E+09 9706168 -120962-1243871 99810210 4.28E+09-26648140 332098.93415030 -2.74E+08 -1.18E+10 73162070 -911773

-9375915 7.52E+08 3.23E+10 -2E+08 250325825741435 -2.07E+09 -8.86E+10 5.51E+08 -6872657

-70672724 5.67E+09 2.43E+11 -1.51E+09 188687771.94E+08 -1.56E+10 -6.68E+11 4.16E+09-51803947

R6458
el delta de t en la formula es iGual a la variacion de la primera columna o al de la tabla de calculos iniciales?
S6458
uí es cual el de la ultima columna o el fijo de datos?
T6459
ESTOS SON IGUALES A LOS DATOS DE LA TABLA DE DATOS?
Page 445: Hojas de Calculo Fransua

-5.33E+08 4.27E+10 1.83E+12 -1.14E+10 1.42E+081.46E+09 -1.17E+11 -5E+12 3.13E+10 -3.9E+08

-4E+09 3.22E+11 1.38E+13 -8.6E+10 1.07E+091.1E+10 -8.85E+11 -3.8E+13 2.36E+11 -2.94E+09

-3E+10 2.43E+12 1.04E+14 -6.48E+11 8.08E+098.31E+10 -6.67E+12 -2.86E+14 1.78E+12 -2.22E+10

-2.28E+11 1.83E+13 7.86E+14 -4.89E+12 6.09E+106.26E+11 -5E+13 -2.16E+15 1.34E+13 -1.67E+11

-1.72E+12 1.38E+14 5.92E+15 -3.68E+13 4.59E+114.72E+12 -3.79E+14 -1.63E+16 1.01E+14 -1.26E+12-1.3E+13 1.04E+15 4.46E+16 -2.78E+14 3.46E+123.56E+13 -2.86E+15 -1.23E+17 7.62E+14 -9.5E+12

-9.77E+13 7.84E+15 3.36E+17 -2.09E+15 2.61E+132.68E+14 -2.15E+16 -9.24E+17 5.75E+15 -7.16E+13

-7.36E+14 5.91E+16 2.54E+18 -1.58E+16 1.97E+142.02E+15 -1.62E+17 -7E+18 4.33E+16 -5.4E+14

-5.55E+15 4.45E+17 1.91E+19 -1.19E+17 1.48E+151.52E+16 -1.22E+18 -5.25E+19 3.27E+17 -4.07E+15

-4.18E+16 3.36E+18 1.44E+20 -9E+17 1.12E+161.15E+17 -9.22E+18 -4E+20 2.46E+18 -3.07E+16

-3.15E+17 2.53E+19 1.09E+21 -6.76E+18 8.42E+168.66E+17 -6.95E+19 -3E+21 1.86E+19 -2.31E+17

-2.38E+18 1.91E+20 8.19E+21 -5.09E+19 6.35E+176.53E+18 -5.24E+20 -2.25E+22 1.4E+20 -1.74E+18

-1.79E+19 1.44E+21 6.17E+22 -3.84E+20 4.78E+184.92E+19 -3.95E+21 -1.69E+23 1.05E+21 -1.31E+19

-1.35E+20 1.08E+22 4.65E+23 -2.89E+21 3.61E+193.71E+20 -3E+22 -1.28E+24 7.95E+21 -9.9E+19

-1E+21 8.17E+22 3.51E+24 -2.18E+22 2.72E+202.8E+21 -2.24E+23 -9.63E+24 5.99E+22 -7.46E+20

-7.67E+21 6.16E+23 2.64E+25 -1.64E+23 2.05E+212.11E+22 -1.69E+24 -7.26E+25 4.51E+23 -5.63E+21

-5.78E+22 4.64E+24 1.99E+26 -1.24E+24 1.54E+221.59E+23 -1.27E+25 -5.47E+26 3.4E+24 -4.24E+22

-4.36E+23 3.5E+25 1.5E+27 -9.34E+24 1.16E+231.2E+24 -9.61E+25 -4.12E+27 2.56E+25 -3.2E+23

-3.29E+24 2.64E+26 1.13E+28 -7E+25 8.78E+239.02E+24 -7.24E+26 -3.11E+28 1.93E+26 -2.41E+24

-2.48E+25 1.99E+27 8.53E+28 -5.31E+26 6.61E+246.8E+25 -5.46E+27 -2.34E+29 1.46E+27 -1.82E+25

-1.87E+26 1.5E+28 6.43E+29 -4E+27 4.99E+255.13E+26 -4.11E+28 -1.77E+30 1.1E+28 -1.37E+26

-1.41E+27 1.13E+29 4.85E+30 -3E+28 3.76E+263.86E+27 -3.1E+29 -1.33E+31 8.28E+28 -1E+27

-1.06E+28 8.51E+29 3.65E+31 -2.27E+29 2.83E+272.91E+28 -2.34E+30 -1E+32 6.24E+29 -7.78E+27

-8E+28 6.42E+30 2.75E+32 -1.71E+30 2.14E+282.2E+29 -1.76E+31 -7.56E+32 4.7E+30 -5.86E+28

Page 446: Hojas de Calculo Fransua

-6E+29 4.84E+31 2.08E+33 -1.29E+31 1.61E+291.66E+30 -1.33E+32 -5.7E+33 3.55E+31 -4.42E+29

-4.54E+30 3.65E+32 1.56E+34 -9.73E+31 1.21E+301.25E+31 -1E+33 -4.3E+34 2.67E+32 -3.33E+30

-3.43E+31 2.75E+33 1.18E+35 -7.34E+32 9.14E+309.4E+31 -7.55E+33 -3.24E+35 2.01E+33 -2.51E+31

-2.58E+32 2.07E+34 8.89E+35 -5.53E+33 6.89E+317.09E+32 -5.69E+34 -2.44E+36 1.52E+34 -1.89E+32

-1.95E+33 1.56E+35 6.7E+36 -4.17E+34 5.2E+325.34E+33 -4.29E+35 -1.84E+37 1.14E+35 -1.43E+33

-1.47E+34 1.18E+36 5.05E+37 -3.14E+35 3.92E+334.03E+34 -3.23E+36 -1.39E+38 8.63E+35 -1.08E+34

-1.11E+35 8.87E+36 3.81E+38 -2.37E+36 2.95E+343.04E+35 -2.44E+37 -1E+39 6.5E+36 -8.1E+34

-8.33E+35 6.69E+37 2.87E+39 -1.79E+37 2.23E+352.29E+36 -1.84E+38 -7.88E+39 4.9E+37 -6.11E+35

-6.28E+36 5.04E+38 2.16E+40 -1.35E+38 1.68E+361.72E+37 -1.38E+39 -5.94E+40 3.7E+38 -4.6E+36

-4.74E+37 3.8E+39 1.63E+41 -1E+39 1.26E+371.3E+38 -1E+40 -4.48E+41 2.79E+39 -3.47E+37

-3.57E+38 2.86E+40 1.23E+42 -7.65E+39 9.53E+379.8E+38 -7.86E+40 -3.37E+42 2.1E+40 -2.62E+38

-2.69E+39 2.16E+41 9.27E+42 -5.76E+40 7.18E+387.39E+39 -5.93E+41 -2.54E+43 1.58E+41 -2E+39

-2E+40 1.63E+42 6.98E+43 -4.34E+41 5.41E+395.57E+40 -4.47E+42 -1.92E+44 1.19E+42 -1.49E+40

-1.53E+41 1.23E+43 5.26E+44 -3.27E+42 4.08E+404.2E+41 -3.37E+43 -1.45E+45 8.99E+42 -1.12E+41

-1.15E+42 9.25E+43 3.97E+45 -2.47E+43 3.08E+413.16E+42 -2.54E+44 -1.09E+46 6.78E+43 -8.45E+41

-8.69E+42 6.97E+44 2.99E+46 -1.86E+44 2.32E+422.38E+43 -1.91E+45 -8.21E+46 5.11E+44 -6.37E+42

-6.55E+43 5.25E+45 2.25E+47 -1.4E+45 1.75E+431.8E+44 -1.44E+46 -6.19E+47 3.85E+45 -4.8E+43

-4.93E+44 3.96E+46 1.7E+48 -1.06E+46 1.32E+441.35E+45 -1.09E+47 -4.67E+48 2.9E+46 -3.62E+44

-3.72E+45 2.98E+47 1.28E+49 -8E+46 9.93E+441.02E+46 -8.19E+47 -3.52E+49 2.19E+47 -2.73E+45-2.8E+46 2.25E+48 9.66E+49 -6E+47 7.49E+457.7E+46 -6.18E+48 -2.65E+50 1.65E+48 -2.06E+46

-2.11E+47 1.7E+49 7.28E+50 -4.53E+48 5.64E+465.8E+47 -4.66E+49 -2E+51 1.24E+49 -1.55E+47

-1.59E+48 1.28E+50 5.49E+51 -3.41E+49 4.25E+474.37E+48 -3.51E+50 -1.51E+52 9.37E+49 -1.17E+48-1.2E+49 9.63E+50 4.13E+52 -2.57E+50 3.21E+483.3E+49 -2.65E+51 -1.14E+53 7.06E+50 -8.8E+48

-9.05E+49 7.26E+51 3.12E+53 -1.94E+51 2.42E+492.48E+50 -2E+52 -8.56E+53 5.32E+51 -6.63E+49

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-6.82E+50 5.47E+52 2.35E+54 -1.46E+52 1.82E+501.87E+51 -1.5E+53 -6.45E+54 4.01E+52 -5E+50

-5.14E+51 4.13E+53 1.77E+55 -1.1E+53 1.37E+511.41E+52 -1.13E+54 -4.86E+55 3.02E+53 -3.77E+51

-3.88E+52 3.11E+54 1.33E+56 -8.3E+53 1.03E+521.06E+53 -8.54E+54 -3.66E+56 2.28E+54 -2.84E+52

-2.92E+53 2.34E+55 1.01E+57 -6.26E+54 7.8E+528.02E+53 -6.44E+55 -2.76E+57 1.72E+55 -2.14E+53-2.2E+54 1.77E+56 7.58E+57 -4.72E+55 5.88E+536.05E+54 -4.85E+56 -2.08E+58 1.3E+56 -1.61E+54

-1.66E+55 1.33E+57 5.72E+58 -3.56E+56 4.43E+544.56E+55 -3.66E+57 -1.57E+59 9.76E+56 -1.22E+55

-1.25E+56 1E+58 4.31E+59 -2.68E+57 3.34E+553.44E+56 -2.76E+58 -1.18E+60 7.36E+57 -9.17E+55

-9.43E+56 7.57E+58 3.25E+60 -2E+58 2.52E+562.59E+57 -2.08E+59 -8.92E+60 5.55E+58 -6.91E+56

-7.11E+57 5.7E+59 2.45E+61 -1.52E+59 1.9E+571.95E+58 -1.57E+60 -6.72E+61 4.18E+59 -5.21E+57

-5.36E+58 4.3E+60 1.85E+62 -1.15E+60 1.43E+581.47E+59 -1.18E+61 -5.07E+62 3.15E+60 -3.93E+58

-4E+59 3.24E+61 1.39E+63 -8.65E+60 1.08E+591.11E+60 -8.9E+61 -3.82E+63 2.38E+61 -3E+59

-3E+60 2.44E+62 1.05E+64 -6.52E+61 8.13E+598.36E+60 -6.71E+62 -2.88E+64 1.79E+62 -2.23E+60

-2.29E+61 1.84E+63 7.9E+64 -4.92E+62 6.13E+606.3E+61 -5.06E+63 -2.17E+65 1.35E+63 -1.68E+61

-1.73E+62 1.39E+64 5.96E+65 -3.71E+63 4.62E+614.75E+62 -3.81E+64 -1.64E+66 1.02E+64 -1.27E+62-1.3E+63 1.05E+65 4.49E+66 -2.79E+64 3.48E+623.58E+63 -2.87E+65 -1.23E+67 7.67E+64 -9.56E+62

-9.83E+63 7.89E+65 3.38E+67 -2.11E+65 2.62E+632.7E+64 -2.17E+66 -9.29E+67 5.78E+65 -7.2E+63

-7.41E+64 5.94E+66 2.55E+68 -1.59E+66 1.98E+642.03E+65 -1.63E+67 -7E+68 4.36E+66 -5.43E+64

-5.58E+65 4.48E+67 1.92E+69 -1.2E+67 1.49E+651.53E+66 -1.23E+68 -5.28E+69 3.28E+67 -4.09E+65

-4.21E+66 3.38E+68 1.45E+70 -9E+67 1.12E+661.16E+67 -9.27E+68 -4E+70 2.48E+68 -3.09E+66

-3.17E+67 2.55E+69 1.09E+71 -6.8E+68 8.47E+668.71E+67 -7E+69 -3E+71 1.87E+69 -2.33E+67

-2.39E+68 1.92E+70 8.24E+71 -5.12E+69 6.39E+676.57E+68 -5.27E+70 -2.26E+72 1.41E+70 -1.75E+68-1.8E+69 1.45E+71 6.21E+72 -3.86E+70 4.81E+684.95E+69 -4E+71 -1.7E+73 1.06E+71 -1.32E+69

-1.36E+70 1.09E+72 4.68E+73 -2.91E+71 3.63E+693.73E+70 -3E+72 -1.28E+74 7.99E+71 -1E+70

-1E+71 8.22E+72 3.53E+74 -2.19E+72 2.73E+702.81E+71 -2.26E+73 -9.68E+74 6.02E+72 -7.51E+70

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-7.72E+71 6.19E+73 2.66E+75 -1.65E+73 2.06E+712.12E+72 -1.7E+74 -7.3E+75 4.54E+73 -5.66E+71

-5.82E+72 4.67E+74 2E+76 -1.25E+74 1.55E+721.6E+73 -1.28E+75 -5.5E+76 3.42E+74 -4.27E+72

-4.39E+73 3.52E+75 1.51E+77 -9.4E+74 1.17E+731.2E+74 -9.66E+75 -4.15E+77 2.58E+75 -3.22E+73

-3.31E+74 2.65E+76 1.14E+78 -7.08E+75 8.83E+739.08E+74 -7.28E+76 -3.13E+78 1.94E+76 -2.42E+74

-2.49E+75 2E+77 8.58E+78 -5.34E+76 6.65E+746.84E+75 -5.49E+77 -2.36E+79 1.47E+77 -1.83E+75

-1.88E+76 1.51E+78 6.47E+79 -4E+77 5.02E+755.16E+76 -4.14E+78 -1.78E+80 1.1E+78 -1.38E+76

-1.42E+77 1.14E+79 4.88E+80 -3E+78 3.78E+763.89E+77 -3.12E+79 -1.34E+81 8.33E+78 -1E+77

-1.07E+78 8.56E+79 3.68E+81 -2.29E+79 2.85E+772.93E+78 -2.35E+80 -1E+82 6.28E+79 -7.82E+77

-8E+78 6.46E+80 2.77E+82 -1.72E+80 2.15E+782.21E+79 -1.77E+81 -7.61E+82 4.73E+80 -5.9E+78

-6.06E+79 4.87E+81 2.09E+83 -1.3E+81 1.62E+791.66E+80 -1.34E+82 -5.73E+83 3.57E+81 -4.45E+79

-4.57E+80 3.67E+82 1.57E+84 -9.79E+81 1.22E+801.25E+81 -1E+83 -4.32E+84 2.69E+82 -3.35E+80

-3.45E+81 2.76E+83 1.19E+85 -7.38E+82 9.2E+809.46E+81 -7.59E+83 -3.26E+85 2.03E+83 -2.53E+81-2.6E+82 2.08E+84 8.94E+85 -5.56E+83 6.93E+817.13E+82 -5.72E+84 -2.46E+86 1.53E+84 -1.9E+82

-2E+83 1.57E+85 6.74E+86 -4.19E+84 5.23E+825.37E+83 -4.31E+85 -1.85E+87 1.15E+85 -1.43E+83

-1.48E+84 1.18E+86 5.08E+87 -3.16E+85 3.94E+834.05E+84 -3.25E+86 -1.4E+88 8.68E+85 -1.08E+84

-1.11E+85 8.93E+86 3.83E+88 -2.38E+86 2.97E+843.05E+85 -2.45E+87 -1.05E+89 6.54E+86 -8.15E+84

-8.38E+85 6.73E+87 2.89E+89 -1.8E+87 2.24E+852.3E+86 -1.85E+88 -7.93E+89 4.93E+87 -6.15E+85

-6.32E+86 5.07E+88 2.18E+90 -1.35E+88 1.69E+86

Page 449: Hojas de Calculo Fransua

T Uo Ůo ϋ o 0.1 0.946869 9.328525 327.24760.2 0.946869 9.328525 327.24760.3 0.946888 9.328438 327.21170.4 0.946983 9.142516 310.78050.5 1.144814 9.05993 306.8610.6 1.243514 8.973282 301.25920.7 1.343305 8.886636 295.65860.8 1.444824 8.79999 290.0580.9 1.546343 8.713344 284.4573

1 1.647862 8.626698 278.85651.1 1.749381 8.540051 273.25571.2 1.850899 8.453405 267.65481.3 1.952418 8.366758 262.05381.4 2.053937 8.280111 256.45271.5 2.155456 8.193464 250.85161.6 2.256975 8.106817 245.25041.7 2.358494 8.02017 239.64921.8 2.460013 7.933522 234.04791.9 2.561533 7.846874 228.4465

2 2.663052 7.760227 222.8452.1 2.764571 7.673579 217.24352.2 2.86609 7.58693 211.64192.3 2.967609 7.500282 206.04022.4 3.069129 7.413634 200.43852.5 3.170648 7.326985 194.83682.6 3.272167 7.240336 195.9452.7 3.373687 7.153687 199.21612.8 3.475206 7.067038 202.48712.9 3.576725 6.980389 205.758

3 3.678245 6.89374 209.0288

0 0.5 1 1.5 2 2.5 3 3.50

50

100

150

200

250

300

350

ESPECTRO DE DESPLAZAMIENTOColumn CColumn D

Page 450: Hojas de Calculo Fransua

0 0.5 1 1.5 2 2.5 3 3.50

50

100

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250

300

350

ESPECTRO DE DESPLAZAMIENTOColumn CColumn D