of 1469/1469
3.275 m 3.725 m 2.075 m 5.000 m L1x= 2.075 m L1y L2x= 5.000 m L2y L3x= 2.050 m Lmá L4x= 3.875 m Lmáx(x) 5.000 m TIPOLOGÍA 1. LOSA ALIGERADA EN 1-D: 250.0 kg/m2 13 cm 200.0 kg/m2 14.9 cm 280.0 kg/m2 17 cm 230.0 kg/m2 H L-A =
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ANALISIS MATRICIAL

### Transcript of Trabajo Final de Estructuras II(1)

• PREDIMENSIONAMIENTO

3.275 m

3.725 m

2.075 m 5.000 m

L1x= 2.075 m L1y=L2x= 5.000 m L2y=L3x= 2.050 m Lmx(y)L4x= 3.875 m

Lmx(x) 5.000 m

TIPOLOGA

250.0 kg/m213 cm

200.0 kg/m214.9 cm

280.0 kg/m217 cm

230.0 kg/m2

HL-A=

• 3. LOSA MACIZA EN 1-D:

15.5 cm 17.5 cm LM= 420.0 kg/m2

DIMENSIONES DE VIGAS

hv = 0.42 m 0.45 m

VP 0.14 mbv 0.18 m

0.23 m

DIMENSIONES DE COLUMNAS

1.638 m A1 A2

1.638 m A6 A7

1.863 m

1.863 m A12 A13

HL-M=

• 1.863 m A12 A13

1.038 m 1.038 m 2.500 m 2.500 m

A1 1.699 m2A2 5.793 m2A3 5.772 m2A4 4.851 m2A5 3.173 m2

1.638 m

1.125 m1.863 m

1.038 m 2.500 m

PESOS

2.803 Tn

4. PESO DE TABIQUERIA REPARTIDA

1.514 Tn

7. PESO DE COLUMNAS

0.450 Tn

0.420 Tn

C.A=

TAB.R=

COL.1=

COL.T=

VS

VP

A11

• N3 2.803 Tn 0 0.937 Tn2 2.803 Tn 0.932 Tn 0.937 Tn1 2.803 Tn 0.932 Tn 0.937 Tn

28.812 Tn

a) Se asume:

F'c= 210 kg/cm2= 3.5 %C= 1.3f'y= 4200 kg/cm2

PREDIMENSIONAMIENTO DE LA PLACA DE CONCRETO

1.638 m

1.638 m

1.863 m

1.863 m

C.A CONT ENL

PSERV=

• 1.863 m

2.075 m 5.000 m

82.775 m2 VP = 0.25 m

#C = 15 col VS = 0.25 m

Ac = 1.313 m2 COL = 0.25 m

he3 = 1.4 m he2 = 2.8 m

18.260 Tn

4. PESO DE TABIQUERIA REPARTIDA

10.590 Tn

7. PESO DE COLUMNAS

4.410 Tn

8.820 Tn

9.135 Tn

N3 18.260 Tn 0 6.622 Tn2 18.260 Tn 6.517 Tn 6.622 Tn1 18.260 Tn 6.517 Tn 6.622 Tn

V= 37.305 Tn

ATT =

C.A=

TAB.R=

COL.3=

COL.2=

COL.1=

C.A CONT ENL

• Ac= 13125 cm2

K8.60 m 501.045 Tn.m 0.4171 15.561 Tn5.80 m 460.005 Tn.m 0.3830 14.286 Tn3.00 m 240.116 Tn.m 0.1999 7.457 Tn

1201.167 Tn.m 1

CLCULO DE CENTRO DE GRAVEDAD Y CENTRO DE MASA

0.35 m 0.35 m

0.25 m 0.25 m

0.35 m 0.35 m

0.25 m 0.25 m

0.35 m 0.35 m

0.25 m 0.25 m

3.275 m

hn Sis*hn Fs

• 3.275 m

3.725 m

2.075 m 5.000 m

A1 57.200 m2 X1 6.500 mA2 0.588 m2 X2 0.125 mA3 12.338 m2 X3 4.575 mA4 9.400 m2 X4 11.000 mA5 3.250 m2 X5 6.500 m

82.775 m2

3.275 m

3.725 m

2.075 m 5.000 m

32

1

2

3

A B

• 0.00137 m4 0.00137 m4

Eje X Iy X*IyA 0.175 m 0.00137 m4 0.000239 m5B 2.075 m 0.00137 m4 0.002837 m5C 7.075 m 0.00137 m4 0.009673 m5D 9.125 m 0.00137 m4 0.012476 m5E 12.825 m 0.00137 m4 0.017534 m5

0.00684 m4 0.042759 m5

CLCULO DE FUERZAS SSMICAS

Eje Iy KA 0.001367 m4 0.200 B 0.001367 m4 0.200 C 0.001367 m4 0.200 D 0.001367 m4 0.200 E 0.001367 m4 0.200

0.006836 m4

Eje Ix K1 0.004466 m4 0.333 2 0.004466 m4 0.333 3 0.004466 m4 0.333

0.013398 m4

IyA IyB

A B

• CLCULO DE CENTRO DE GRAVEDAD Y CENTRO DE MASA CON PLACAS

0.35 m 1.50 m

0.25 m 0.25 m

0.35 m 0.35 m

0.25 m 0.25 m

0.35 m 0.35 m

0.25 m 0.25 m

3.275 m

3.725 m

2.075 m 5.000 m

A1 57.2000 m2 X1 6.500 m

32

• A2 0.5875 m2 X2 0.125 mA3 12.3375 m2 X3 4.575 mA4 9.4000 m2 X4 11.000 mA5 3.2500 m2 X5 6.500 m

82.775 m2

3.275 m

3.725 m

2.075 m 5.000 m

0.00137 m4 0.00286 m4

Eje X Iy X*IyA 0.1750 m 0.00137 m4 0.000239 m5B 2.0750 m 0.00286 m4 0.005944 m5C 7.0750 m 0.25439 m4 1.799814 m5D 9.1250 m 0.00137 m4 0.012476 m5E 12.8250 m 0.00286 m4 0.036738 m5

0.26285 m4 1.855211 m5

IyA IyB

1

2

3

A B

• 82.775 m2

1.325 m2 VP = 0.25 m

#C = 12 col VS = 0.25 m

Ac = 1.050 m2 COL = 0.25 m

he3 = 1.4 m he2 = 2.8 m

18.260 Tn

4. PESO DE TABIQUERIA REPARTIDA

10.452 Tn

7. PESO DE COLUMNAS

3.528 Tn

7.056 Tn

7.308 Tn

N3 18.260 Tn 0 6.622 Tn2 18.260 Tn 6.432 Tn 6.622 Tn1 18.260 Tn 6.432 Tn 6.622 Tn

ATT =

Ap=

C.A=

TAB.R=

COL.3=

COL.2=

COL.1=

C.A CONT ENL

V= 39.260 Tn

Ac= 10500 cm2

K8.60 m 518.649 Tn.m 0.4117 16.165 Tn5.80 m 486.575 Tn.m 0.3863 15.165 Tn3.00 m 254.455 Tn.m 0.2020 7.931 Tn

1259.679 Tn.m 1

CLCULO DE FUERZAS SSMICAS

Eje Iy KA 0.001367 m4 0.005 B 0.002865 m4 0.011 C 0.254391 m4 0.968 D 0.001367 m4 0.005 E 0.002865 m4 0.011

0.262854 m4

Eje Ix K1 0.075987 m4 0.492 2 0.004466 m4 0.029 3 0.073885 m4 0.479

0.154339 m4

hn Sis*hn Fs

• PREDIMENSIONAMIENTO

5.000 m 2.050 m 3.875 m

L1y= 3.725 mL2y= 3.275 m

Lmx(y) 3.725 m

14.9 m 17 cmHL-A=

• 4. LOSA MACIZA EN 2-D:

12.42 cm

420.0 kg/m2 9.31 cm

9.69 cm

hv =

VS0.25 m bv

A3 A4 A5

A8 A9 A10

A13A13 A14 A15

HL-M=

• A13A13 A13 A14 A15

2.500 m 1.025 m 1.025 m 1.938 m 1.938 m

A6 3.050 m2 A11A7 11.708 m2 A12A8 11.674 m2 A13A9 9.705 m2 A14A10 6.781 m2 A15

ATmx

tc0.25 m

0.25 m bc

Ac= 0.0625 m2ATT= 11.7083 m2

Avx= 0.8219 m2Avg= 1.6344 m2

Avy= 0.8125 m2

2. PESO DE CONTRAPISO 3. PESO DE ENLUCIDO

0.932 Tn

5. PESO DE COBERTURA 6. PESO DE VIGAS

1.171 Tn

8. PESO DE CARGA VIVA O SOBRECARGA

S/ct=1= 2.329 Tn

S/ct=2= 2.329 Tn

CONT=

COB=

• S/ct=3= 1.165 Tn

0.937 Tn 0 1.171 Tn 1.473 Tn 0.420 Tn0.937 Tn 1.514 Tn 0 1.473 Tn 0.420 Tn0.937 Tn 1.514 Tn 0 1.473 Tn 0.450 Tn

42.084 Tn

Ac1= 304.89 cm2 bc=

251.32 cm2

Ac2= 197.74 cm2 tc=

PREDIMENSIONAMIENTO DE LA PLACA DE CONCRETO

ENL TAB.R COB Vg COL

PUlt=

• 5.000 m 2.050 m 3.875 m

0.25 m 0.45 mAvx =

0.25 m 0.30 m Avp =Avy =

0.25 m 0.35 m

2.8 m he1 = 2.9 m

2. PESO DE CONTRAPISO 3. PESO DE ENLUCIDO

6.517 Tn

5. PESO DE COBERTURA 6. PESO DE VIGAS

8.278 Tn

8. PESO DE TABIQUERA PERIMTRICA 9. PESO DE CARGA VIVA O SOBRECARGA

3.918 Tn

9.692 Tn

10.104 Tn

6.622 Tn 0 8.278 Tn 14.738 Tn 4.410 Tn6.622 Tn 10.590 Tn 0 14.738 Tn 8.820 Tn6.622 Tn 10.590 Tn 0 14.738 Tn 9.135 Tn

Vc= 7.680 Kg/cm2 An= 4857.117 cm2

CONT=

COB=

TAB.P 3 =

TAB.P 2 =

TAB.P 1 =

ENL TAB.R COB Vg COL

• AM= -0.83 mASUMO: tm= 0.250 m

Lm= -3.307 m

15.561 Tn

15.561 Tn 15.561 Tn14.286 Tn 29.847 Tn 14.286 Tn7.457 Tn 37.305 Tn

7.457 Tn

CLCULO DE CENTRO DE GRAVEDAD Y CENTRO DE MASA

0.35 m 0.35 m

0.25 m 0.25 m

0.35 m 0.35 m

0.25 m 0.25 m

0.35 m 0.35 m

0.25 m 0.25 m

Fs Qs

1

• 5.000 m 2.050 m 3.875 m

6.500 m Y1 4.800 m0.125 m Y2 1.425 m X4.575 m Y3 1.425 m Cg

11.000 m Y4 1.425 m Y6.500 m Y5 0.125 m

5.000 m 2.050 m 3.875 m

1

43

5

C D

• 0.00137 m4 0.00137 m4

X*Iy Xr Eje Y0.000239 m5

6.255 m

1 0.1250.002837 m5 2 3.725 m0.009673 m5 3 6.8750.012476 m50.017534 m50.042759 m5

0.131 m

0.44 m

0.424 m

CLCULO DE FUERZAS SSMICAS

F1 F2 F31.491 Tn 2.857 Tn 3.112 Tn1.491 Tn 2.857 Tn 3.112 Tn1.491 Tn 2.857 Tn 3.112 Tn1.491 Tn 2.857 Tn 3.112 Tn1.491 Tn 2.857 Tn 3.112 Tn

F1 F2 F32.486 Tn 4.762 Tn 5.187 Tn2.486 Tn 4.762 Tn 5.187 Tn2.486 Tn 4.762 Tn 5.187 Tn

IyC IyD

C D

• CLCULO DE CENTRO DE GRAVEDAD Y CENTRO DE MASA CON PLACAS

0.35 m 0.35 m

0.25 m 0.25 m

0.35 m 0.35 m

0.25 m 0.25 m

0.25 m 0.35 m

2.30 m 0.25 m

5.000 m 2.050 m 3.875 m

6.500 m Y1 4.800 m

1

43

5

• 0.125 m Y2 1.425 m X4.575 m Y3 1.425 m Cg

11.000 m Y4 1.425 m Y6.500 m Y5 0.125 m

5.000 m 2.050 m 3.875 m

0.25439 m4 0.00137 m4

X*Iy Xr Eje Y0.000239 m5

7.058 m

1 0.1250.005944 m5 2 3.7251.799814 m5 3 6.8750.012476 m50.036738 m51.855211 m5

IyC IyD

C D

• 0.246 m

0.45 m

-0.379 m

0.25 m 0.45 mAvx =

0.25 m 0.30 m Avp =Avy =

0.25 m 0.35 m

2.8 m he1 = 2.9 m

2. PESO DE CONTRAPISO 3. PESO DE ENLUCIDO

6.432 Tn

5. PESO DE COBERTURA 6. PESO DE VIGAS

8.278 Tn

8. PESO DE TABIQUERA PERIMTRICA 9. PESO DE CARGA VIVA O SOBRECARGA

3.385 Tn

8.372 Tn

8.728 Tn

6.622 Tn 0 8.278 Tn 13.775 Tn 3.528 Tn6.622 Tn 10.452 Tn 0 13.775 Tn 7.056 Tn6.622 Tn 10.452 Tn 0 13.775 Tn 7.308 Tn

CONT=

COB=

TAB.P 3 =

TAB.P 2 =

TAB.P 1 =

ENL TAB.R COB Vg COL

• Vc= 7.680 Kg/cm2 An= 5111.739 cm2

AM= -0.54 mASUMO: tm= 0.250 m

Lm= -2.155 m

16.165 Tn

16.165 Tn 16.165 Tn15.165 Tn 31.330 Tn 15.165 Tn7.931 Tn 39.260 Tn

7.931 Tn

CLCULO DE FUERZAS SSMICAS

F1 F2 F30.041 Tn 0.079 Tn 0.084 Tn0.086 Tn 0.165 Tn 0.176 Tn7.675 Tn 14.677 Tn 15.644 Tn0.041 Tn 0.079 Tn 0.084 Tn0.086 Tn 0.165 Tn 0.176 Tn

F1 F2 F33.905 Tn 7.466 Tn 7.959 Tn0.229 Tn 0.439 Tn 0.468 Tn3.797 Tn 7.260 Tn 7.738 Tn

Fs Qs

• PREDIMENSIONAMIENTO

Longitud Mnima en la Direccin de la Losa:

1-DHL-A Arcilla

13 cm 250.0 kg/m217 cm 280.0 kg/m220 cm 300.0 kg/m225 cm 350.0 kg/m2

1.125 m30 cm 420.0 kg/m2

# Pisos 3hi 3.00 mht 2.80 m

CA 2400 kg/m3s/c1 200 kg/m2s/c2 200 kg/m2

3.875 m s/c3 200 kg/m2s/c(azotea) 100 kg/m2

Tab. Repartida 130 kg/m2 Lad. Pandereta 1350 kg/m2

Cobertura 100 kg/m2 Enlucido 80 kg/m2

Contrapiso 80 kg/m2

300.0 kg/m213 cm

250.0 kg/m2

• 4. LOSA MACIZA EN 2-D:

12.50 cm

10.00 cm 10.73 cm 12.50 cm

9.69 cm LM= 300.0 kg/m2

0.27 m 0.30 m

0.09 m0.12 m 0.25 m

0.15 m

A5A5 A6

A10A12

1.125 m

0.738 m

A15A16 A17

• A15A15

1.938 m

0.663 m25.117 m25.114 m2 8.225 m24.066 m2 91.0 m23.609 m211.708 m2

1.6344 m2

3. PESO DE ENLUCIDO

0.937 Tn

6. PESO DE VIGAS

1.473 Tn

Avacios=ATotal=

ENL=

Vg=

• M V0.420 Tn 6.803 Tn 1.165 Tn0.420 Tn 8.078 Tn 2.329 Tn0.450 Tn 8.108 Tn 2.329 Tn

22.990 Tn 5.823 Tn

25 cm

10 cm 35 cm

2.80 m

2.80 m

1.125 m

3.00 m

0.738 m

COL

• 3.00 m

3.875 m

8.438 m216.250 m2

7.813 m2

em= 0.13 m

3. PESO DE ENLUCIDO

6.622 Tn

6. PESO DE VIGAS

14.738 Tn

9. PESO DE CARGA VIVA O SOBRECARGA

S/ct=1= 16.293 Tn

S/ct=2= 16.293 Tn

S/ct=3= 8.146 Tn

M V Sis4.410 Tn 3.918 Tn 56.225 Tn 8.146 Tn 58.261 Tn8.820 Tn 9.692 Tn 75.238 Tn 16.293 Tn 79.311 Tn9.135 Tn 10.104 Tn 75.966 Tn 16.293 Tn 80.039 Tn

217.611 Tn

ENL=

Vg=

COL TAB.P

• 0.250 m-3.307 m

0.35 m

0.25 m

0.35 m

0.25 m

0.35 m

0.25 m

• 1.125 m

3.875 m

6.679 m

3.706 m

0.00447 m4

1.125 m0.00447 m4

0.00447 m4

3.875 m

Ix3

Ix2

Ix1

4

E

• 0.00137 m4

Y Ix Y*Ix Yr0.125 0.00447 m4 0.000558 m5

3.575 m3.725 m 0.00447 m4 0.016636 m56.875 0.00447 m4 0.030705 m5

0.01340 m4 0.047899 m5

IyE

E

• 0.35 m

0.25 m

0.35 m

0.25 m

1.50 m

0.25 m

1.125 m

3.875 m

4

• 6.679 m

3.706 m

0.07389 m4

1.125 m0.00447 m4

0.07599 m4

3.875 m

0.00286 m4

Y Ix Y*Ix Yr0.125 0.07599 m4 0.009498 m5

3.461 m3.725 0.00447 m4 0.016636 m56.875 0.07389 m4 0.507962 m5

0.15434 m4 0.534097 m5

Ix3

Ix2

Ix1

IyE

E

• 7.888 m215.188 m2

7.300 m2

em= 0.13 m

3. PESO DE ENLUCIDO

6.622 Tn

6. PESO DE VIGAS

13.775 Tn

9. PESO DE CARGA VIVA O SOBRECARGA

S/ct=1= 16.080 Tn

S/ct=2= 16.080 Tn

S/ct=3= 8.040 Tn

M V3.528 Tn 3.385 Tn 4.452 Tn 58.298 Tn 8.040 Tn7.056 Tn 8.372 Tn 8.904 Tn 79.872 Tn 16.080 Tn7.308 Tn 8.728 Tn 9.222 Tn 80.798 Tn 16.080 Tn

ENL=

Vg=

COL TAB.P Placas

• 0.250 m-2.155 m

• Longitud Mnima en la Direccin de la Losa:

1-D 2-DTecnopor Arcilla Tecnopor

200.0 kg/m2 300.0 kg/m2 250.0 kg/m2230.0 kg/m2 330.0 kg/m2 280.0 kg/m2250.0 kg/m2 350.0 kg/m2 300.0 kg/m2300.0 kg/m2 400.0 kg/m2 350.0 kg/m2370.0 kg/m2 470.0 kg/m2 420.0 kg/m2

Z 0.4U 1S 1.2Tp 0.6R 7

• 1.40 m

1.40 m

1.40 m

1.40 m

1.50 m

1.50 m

• 1.50 m

Sis58.261 Tn79.311 Tn80.039 Tn

217.611 Tn

• V Sis8.040 Tn 60.308 Tn16.080 Tn 83.892 Tn16.080 Tn 84.818 Tn

229.019 Tn

• ANLISIS MTODO MUTTO - PRTICO 2-2

DATOS:

210 kg/cm2

25 cm 25 cm

35 cm 35 cm

25 cm 25 cm

35 cm 35 cm

25 cm 25 cm

35 cm 35 cm

Ic= 89322.9167 cm4 kc= 319.0104 cm3 K = 2.8680 a= 0.5892 D= 187.9451 cm3 Kl= 6253.1255 kg/cm

Ic= 89322.9167 cm4 kc= 319.0104 cm3

f'c (kg/cm2) =

• K = 2.8680 a= 0.5892 D= 187.9451 cm3 Kl= 6253.1255 kg/cm

Ic= 89322.9167 cm4 kc= 297.7431 cm3 K = 3.0728 a= 0.7043 D= 209.7023 cm3 Kl= 6077.7499 kg/cm

207.50 cm

0.468 Tn

0.439 Tn

0.229 Tn

N hn Fs3 280 cm 0.468 Tn

• 2 280 cm 0.439 Tn

1 300 cm 0.229 Tn

• ANLISIS MTODO MUTTO - PRTICO 2-2

E= 217370.65 kg/cm2R= 8

25 cm 25 cm

35 cm 35 cm

25 cm 25 cm

35 cm 35 cm

25 cm 25 cm

35 cm 35 cm

Ic= 89322.9167 cm4 kc= 319.0104 cm3 K = 4.0582 a= 0.6699 D= 213.6946 cm3 Kl= 7109.8360 kg/cm

Ic= 89322.9167 cm4 kc= 319.0104 cm3

• K = 4.0582 a= 0.6699 D= 213.6946 cm3 Kl= 7109.8360 kg/cm

Ic= 89322.9167 cm4 kc= 297.7431 cm3 K = 4.3480 a= 0.7637 D= 227.3883 cm3 Kl= 6590.3383 kg/cm

207.50 cm 500.00 cm

Qs Kl re0.468 Tn 32.420 Tn/cm 0.0144 cm

• 0.907 Tn 32.420 Tn/cm 0.0280 cm

1.136 Tn 31.062 Tn/cm 0.0366 cm

• ANLISIS MTODO MUTTO - PRTICO 2-2

VIGAS25 cm 25 cm

35 cm

25 cm 25 cm

35 cm

25 cm 25 cm

35 cm

Ic= 89322.9167 cm4 Ic= kc= 319.0104 cm3 kc= K = 4.0931 K = a= 0.6718 a= D= 214.2991 cm3 D= Kl= 7129.9491 kg/cm Kl=

Ic= 89322.9167 cm4 Ic= kc= 319.0104 cm3 kc=

• K = 4.0931 K = a= 0.6718 a= D= 214.2991 cm3 D= Kl= 7129.9491 kg/cm Kl=

Ic= 89322.9167 cm4 Ic= kc= 297.7431 cm3 kc= K = 4.3855 K = a= 0.7651 a= D= 227.8012 cm3 D= Kl= 6602.3047 kg/cm Kl=

500.00 cm 205.00 cm

3e

2e

1e

tr rr0.0790 cm 0.0866 cm 0.4738 cm

te

• 0.0645 cm 0.1678 cm 0.3872 cm

0.0366 cm 0.2194 cm 0.2194 cm

• VIGAS25 cm

45 cm

Iv45 cm

Iv189843.75 189843.75

Kv Kv914.90964 379.688

25 cm

45 cm

Iv45 cm

Iv189843.75 189843.75

Kv Kv914.90964 379.688

25 cm

45 cm

Iv45 cm

Iv189843.75 189843.75

Kv Kv914.90964 379.688

89322.9167 cm4 Ic= 89322.9167 cm4319.0104 cm3 kc= 319.0104 cm3

4.4387 K = 1.53570.6894 a= 0.4343

219.9186 cm3 D= 138.5618 cm37316.9160 kg/cm Kl= 4610.0908 kg/cm

89322.9167 cm4 Ic= 89322.9167 cm4319.0104 cm3 kc= 319.0104 cm3

• 4.4387 K = 1.53570.6894 a= 0.4343

219.9186 cm3 D= 138.5618 cm37316.9160 kg/cm Kl= 4610.0908 kg/cm

89322.9167 cm4 Ic= 89322.9167 cm4297.7431 cm3 kc= 297.7431 cm3

4.7557 K = 1.64540.7780 a= 0.5885

231.6341 cm3 D= 175.2300 cm36713.3934 kg/cm Kl= 5078.6465 kg/cm

205.00 cm 387.50 cm

0.08 cm

0.06 cm

0.04 cm

D0.00169

• 0.00138

0.00073

• 25 cm 25 cm

45 cm

lv189843.75

Kv926.067

25 cm 25 cm

45 cm

lv189843.75

Kv926.067

25 cm 25 cm

45 cm

lv189843.75

Kv926.067

280.00 cm

32.420 Tn/cm

• 280.00 cm

32.420 Tn/cm

300.00 cm

31.062 Tn/cm

• 45 cm

lv189843.75

Kv489.919

45 cm

lv189843.75

Kv489.919

45 cm

lv189843.75

Kv489.919

• ANLISIS MTODO MUTTO - PRTICO A-A

DATOS:

210 kg/cm2

35 cm 35 cm

25 cm 25 cm

35 cm 35 cm

25 cm 25 cm

35 cm 35 cm

25 cm 25 cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3 K = 1.0553 a= 0.3454 D= 56.2163 cm3 Kl= 1870.3725 kg/cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3

f'c (kg/cm2) =

• K = 1.0553 a= 0.3454 D= 56.2163 cm3 Kl= 1870.3725 kg/cm

Ic= 45572.9167 cm4 kc= 151.9097 cm3 K = 1.1306 a= 0.5209 D= 79.1245 cm3 Kl= 2293.2458 kg/cm

327.50 cm

0.084 Tn

0.079 Tn

0.041 Tn

N hn Fs Qs3 280 cm 0.084 Tn 0.084 Tn

• 2 280 cm 0.079 Tn 0.163 Tn

1 300 cm 0.041 Tn 0.204 Tn

• ANLISIS MTODO MUTTO - PRTICO A-A

E= 217370.65 Kg/cm2R= 8

35 cm 25 cm

30 cm25 cm

35 cm 25 cm

30 cm25 cm

35 cm 25 cm

30 cm25 cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3 K = 1.9831 a= 0.4979 D= 81.0339 cm3 Kl= 2696.0817 kg/cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3

• K = 1.9831 a= 0.4979 D= 81.0339 cm3 Kl= 2696.0817 kg/cm

Ic= 45572.9167 cm4 kc= 151.9097 cm3 K = 2.1247 a= 0.6363 D= 96.6658 cm3 Kl= 2801.6408 kg/cm

327.50 cm 372.50 cm

Qs Kl re0.084 Tn 6.282 Tn/cm 0.0134 cm 0.0673 cm

te

• 0.163 Tn 6.282 Tn/cm 0.0259 cm 0.0539 cm

0.204 Tn 7.292 Tn/cm 0.0280 cm 0.0280 cm

• ANLISIS MTODO MUTTO - PRTICO A-A

VIGAS25 cm

Iv30 cm

Iv56250 cm4 56250 cm4

Kv Kv171.76 cm3 151.01 cm3

25 cmIv

30 cm

Iv56250 cm4 56250 cm4

Kv Kv171.76 cm3 151.01 cm3

25 cmIv

30 cm

Iv56250 cm4 56250 cm4

Kv Kv171.76 cm3 151.01 cm3

Ic= 45572.9167 cm4 kc= 162.7604 cm3 K = 0.9278 280.00 cm a= 0.3169 D= 51.5771 cm3 Kl= 1716.0231 kg/cm 6.282 Tn/cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3

• K = 0.9278 280.00 cm a= 0.3169 D= 51.5771 cm3 Kl= 1716.0231 kg/cm 6.282 Tn/cm

Ic= 45572.9167 cm4 kc= 151.9097 cm3 K = 0.9941 300.00 cm a= 0.4990 D= 75.8041 cm3 Kl= 2197.0104 kg/cm 7.292 Tn/cm

372.50 cm

3e

2e

1e

tr rr D0.0673 cm 0.0803 cm 0.404 cm 0.00144

te

• 0.0539 cm 0.1556 cm 0.324 cm 0.00116

0.0280 cm 0.1680 cm 0.168 cm 0.00056

• ANLISIS MTODO MUTTO - PRTICO A-A

6.282 Tn/cm

• 6.282 Tn/cm

7.292 Tn/cm

0.07 cm

0.05 cm

0.03 cm

D0.00144

• 0.00116

0.00056

• ANLISIS MTODO MUTTO - PRTICO B-B

DATOS:

210 kg/cm2

35 cm 35 cm

25 cm 25 cm

35 cm 35 cm

25 cm 25 cm

35 cm 35 cm

25 cm 25 cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3 K = 1.0553 a= 0.3454 D= 56.2163 cm3 Kl= 1870.3725 kg/cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3

f'c (kg/cm2) =

• K = 1.0553 a= 0.3454 D= 56.2163 cm3 Kl= 1870.3725 kg/cm

Ic= 45572.9167 cm4 kc= 151.9097 cm3 K = 1.1306 a= 0.5209 D= 79.1245 cm3 Kl= 2293.2458 kg/cm

327.50 cm

0.176 Tn

0.165 Tn

0.086 Tn

N hn Fs Qs3 280 cm 0.176 Tn 0.176 Tn

• 2 280 cm 0.165 Tn 0.341 Tn

1 300 cm 0.086 Tn 0.428 Tn

• ANLISIS MTODO MUTTO - PRTICO B-B

E= 217370.65 Kg/cm2R= 8

35 cm 25 cm

30 cm25 cm

35 cm 25 cm

30 cm25 cm

35 cm 25 cm

30 cm25 cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3 K = 1.9831 a= 0.4979 D= 81.0339 cm3 Kl= 2696.0817 kg/cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3

• K = 1.9831 a= 0.4979 D= 81.0339 cm3 Kl= 2696.0817 kg/cm

Ic= 45572.9167 cm4 kc= 151.9097 cm3 K = 2.1247 a= 0.6363 D= 96.6658 cm3 Kl= 2801.6408 kg/cm

327.50 cm 372.50 cm

Qs Kl re0.176 Tn 6.282 Tn/cm 0.0280 cm 0.1411 cm

te

• 0.341 Tn 6.282 Tn/cm 0.0543 cm 0.1130 cm

0.428 Tn 7.292 Tn/cm 0.0587 cm 0.0587 cm

• ANLISIS MTODO MUTTO - PRTICO B-B

VIGAS25 cm

Iv30 cm

Iv56250 cm4 56250 cm4

Kv Kv171.76 cm3 151.01 cm3

25 cmIv

30 cm

Iv56250 cm4 56250 cm4

Kv Kv171.76 cm3 151.01 cm3

25 cmIv

30 cm

Iv56250 cm4 56250 cm4

Kv Kv171.76 cm3 151.01 cm3

Ic= 45572.9167 cm4 kc= 162.7604 cm3 K = 0.9278 280.00 cm a= 0.3169 D= 51.5771 cm3 Kl= 1716.0231 kg/cm 6.282 Tn/cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3

• K = 0.9278 280.00 cm a= 0.3169 D= 51.5771 cm3 Kl= 1716.0231 kg/cm 6.282 Tn/cm

Ic= 45572.9167 cm4 kc= 151.9097 cm3 K = 0.9941 300.00 cm a= 0.4990 D= 75.8041 cm3 Kl= 2197.0104 kg/cm 7.292 Tn/cm

372.50 cm

3e

2e

1e

tr rr D0.1411 cm 0.1682 cm 0.8464 cm 0.00302

te

• 0.1130 cm 0.3261 cm 0.6781 cm 0.00242

0.0587 cm 0.3521 cm 0.3521 cm 0.00117

• ANLISIS MTODO MUTTO - PRTICO B-B

6.282 Tn/cm

• 6.282 Tn/cm

7.292 Tn/cm

0.14 cm

0.11 cm

0.06 cm

D0.00302

• 0.00242

0.00117

• ANLISIS MTODO MUTTO - PRTICO D-D

DATOS:

210 kg/cm2

35 cm 35 cm

25 cm 25 cm

35 cm 35 cm

25 cm 25 cm

35 cm 35 cm

25 cm 25 cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3 K = 1.0553 a= 0.3454 D= 56.2163 cm3 Kl= 1870.3725 kg/cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3

f'c (kg/cm2) =

• K = 1.0553 a= 0.3454 D= 56.2163 cm3 Kl= 1870.3725 kg/cm

Ic= 45572.9167 cm4 kc= 151.9097 cm3 K = 1.1306 a= 0.5209 D= 79.1245 cm3 Kl= 2293.2458 kg/cm

327.50 cm

0.084 Tn

0.079 Tn

0.041 Tn

N hn Fs Qs3 280 cm 0.084 Tn 0.084 Tn

• 2 280 cm 0.079 Tn 0.163 Tn

1 300 cm 0.041 Tn 0.204 Tn

• ANLISIS MTODO MUTTO - PRTICO D-D

E= 217370.65 Kg/cm2R= 8

35 cm 25 cm

30 cm25 cm

35 cm 25 cm

30 cm25 cm

35 cm 25 cm

30 cm25 cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3 K = 1.9831 a= 0.4979 D= 81.0339 cm3 Kl= 2696.0817 kg/cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3

• K = 1.9831 a= 0.4979 D= 81.0339 cm3 Kl= 2696.0817 kg/cm

Ic= 45572.9167 cm4 kc= 151.9097 cm3 K = 2.1247 a= 0.6363 D= 96.6658 cm3 Kl= 2801.6408 kg/cm

327.50 cm 372.50 cm

Qs Kl re0.084 Tn 6.282 Tn/cm 0.0134 cm 0.0673 cm

te

• 0.163 Tn 6.282 Tn/cm 0.0259 cm 0.0539 cm

0.204 Tn 7.292 Tn/cm 0.0280 cm 0.0280 cm

• ANLISIS MTODO MUTTO - PRTICO D-D

VIGAS25 cm

Iv30 cm

Iv56250 cm4 56250 cm4

Kv Kv171.76 cm3 151.01 cm3

25 cmIv

30 cm

Iv56250 cm4 56250 cm4

Kv Kv171.76 cm3 151.01 cm3

25 cmIv

30 cm

Iv56250 cm4 56250 cm4

Kv Kv171.76 cm3 151.01 cm3

Ic= 45572.9167 cm4 kc= 162.7604 cm3 K = 0.9278 280.00 cm a= 0.3169 D= 51.5771 cm3 Kl= 1716.0231 kg/cm 6.282 Tn/cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3

• K = 0.9278 280.00 cm a= 0.3169 D= 51.5771 cm3 Kl= 1716.0231 kg/cm 6.282 Tn/cm

Ic= 45572.9167 cm4 kc= 151.9097 cm3 K = 0.9941 300.00 cm a= 0.4990 D= 75.8041 cm3 Kl= 2197.0104 kg/cm 7.292 Tn/cm

372.50 cm

3e

2e

1e

tr rr D0.0673 cm 0.0803 cm 0.4040 cm 0.00144

te

• 0.0539 cm 0.1556 cm 0.3237 cm 0.00116

0.0280 cm 0.1680 cm 0.1680 cm 0.00056

• ANLISIS MTODO MUTTO - PRTICO D-D

6.282 Tn/cm

• 6.282 Tn/cm

7.292 Tn/cm

0.07 cm

0.05 cm

0.03 cm

D0.00144

• 0.00116

0.00056

• ANLISIS MTODO MUTTO - PRTICO E-E

DATOS:

210 kg/cm2

35 cm 35 cm

25 cm 25 cm

35 cm 35 cm

25 cm 25 cm

35 cm 35 cm

25 cm 25 cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3 K = 1.0553 a= 0.3454 D= 56.2163 cm3 Kl= 1870.3725 kg/cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3

f'c (kg/cm2) =

• K = 1.0553 a= 0.3454 D= 56.2163 cm3 Kl= 1870.3725 kg/cm

Ic= 45572.9167 cm4 kc= 151.9097 cm3 K = 1.1306 a= 0.5209 D= 79.1245 cm3 Kl= 2293.2458 kg/cm

327.50 cm

0.176 Tn

0.165 Tn

0.086 Tn

N hn Fs Qs3 280 cm 0.176 Tn 0.176 Tn

• 2 280 cm 0.165 Tn 0.341 Tn

1 300 cm 0.086 Tn 0.428 Tn

• ANLISIS MTODO MUTTO - PRTICO E-E

E= 217370.65 Kg/cm2R= 8

150 cm 25 cm

30 cm25 cm

150 cm 25 cm

30 cm25 cm

150 cm 25 cm

30 cm25 cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3 K = 1.9831 a= 0.4979 D= 81.0339 cm3 Kl= 2696.0817 kg/cm

Ic= 45572.9167 cm4 kc= 162.7604 cm3

• K = 1.9831 a= 0.4979 D= 81.0339 cm3 Kl= 2696.0817 kg/cm

Ic= 45572.9167 cm4 kc= 151.9097 cm3 K = 2.1247 a= 0.6363 D= 96.6658 cm3 Kl= 2801.6408 kg/cm

327.50 cm 372.50 cm

Qs Kl re0.176 Tn 6.833 Tn/cm 0.0258 cm 0.1137 cm

te

• 0.341 Tn 6.833 Tn/cm 0.0500 cm 0.0879 cm

0.428 Tn 11.283 Tn/cm 0.0379 cm 0.0379 cm

• ANLISIS MTODO MUTTO - PRTICO E-E

VIGAS25 cm

Iv30 cm

Iv56250 cm4 56250 cm4

Kv Kv171.76 cm3 151.01 cm3

25 cmIv

30 cm

Iv56250 cm4 56250 cm4

Kv Kv171.76 cm3 151.01 cm3

25 cmIv

30 cm

Iv56250 cm4 56250 cm4

Kv Kv171.76 cm3 151.01 cm3

Ic= 195312.5000 cm4 kc= 697.5446 cm3 K = 0.2165 280.00 cm a= 0.0977 D= 68.1290 cm3 Kl= 2266.7201 kg/cm 6.833 Tn/cm

Ic= 195312.5000 cm4 kc= 697.5446 cm3

• K = 0.2165 280.00 cm a= 0.0977 D= 68.1290 cm3 Kl= 2266.7201 kg/cm 6.833 Tn/cm

Ic= 195312.5000 cm4 kc= 651.0417 cm3 K = 0.2319 300.00 cm a= 0.3279 D= 213.5031 cm3 Kl= 6187.9089 kg/cm 11.283 Tn/cm

372.50 cm

3e

2e

1e

tr rr D0.1137 cm 0.1547 cm 0.6820 cm 0.00244

te

• 0.0879 cm 0.2998 cm 0.5273 cm 0.00188

0.0379 cm 0.2275 cm 0.2275 cm 0.00076

• ANLISIS MTODO MUTTO - PRTICO E-E

6.833 Tn/cm

• 6.833 Tn/cm

11.283 Tn/cm

0.11 cm

0.09 cm

0.04 cm

D0.00244

• 0.00188

0.00076

1.638 m

A1

1.638 m

1.863 m

1.863 m

1.038 m 1.038 m

# Pisos 3hi 3.00 mht 2.80 m

CA 2400 kg/m3s/c1 200 kg/m2s/c2 200 kg/m2s/c3 200 kg/m2

s/c(azotea) 100 kg/m2 Tab. Repartida 130 kg/m2 Lad. Pandereta 1350 kg/m2

Cobertura 100 kg/m2 Enlucido 80 kg/m2

Contrapiso 80 kg/m2

1

2

3

A B

• PRTICO A-A, B-B, D-D, E-E

0.180 = CM0.000 = CV

2.80 m

0.391 = CM0.000 = CV

2.80 m

0.391 = CM0.000 = CV

3.00 m

3.275 m

A2 A3

A12 A13

2.500 m 2.500 m 1.025 m

0.35 m

C 0.25 m P2

1.50 m

P1 0.25 m P3

B C

• 0.180 = CM 0.180 = CM0.000 = CV 0.000 = CV

0.391 = CM 0.391 = CM0.000 = CV 0.000 = CV

0.391 = CM 0.391 = CM0.000 = CV 0.000 = CV

3.275 m 3.725 m

A3 A4

A14

1.025 m 1.938 m 1.938 m

0.25 m 0.25 m

0.45 m2.30 m VP

1.50 m 0.25 m

0.30 m0.25 m VS

D E

• COMBOS W1 W2

COMBO 1 0.54684 0.54684

COMBO 2 Y 3 0.48825 0.48825

COMBO 4 Y 5 0.35154 0.35154

• A5

1.125 m

0.738 mA16

E

• W2 W3

0.54684 0.252

0.48825 0.225

0.35154 0.162

• ANLISIS MTODO MATRICIAL - PRTICO A-A - COMBO 1

f'c= 210

E= 2173706.51

0.0000

0.0000

0.0000

3.275A

1

4

714

12

10

7

4

1

• U1zU1y

U2zU2y

U3zU3y

U4zU4y

U5zU= U5y

U6zU6y

U7zU7y

U8zU8y

U9zU9y

DETERMINACIN DE FUERZAS DE FIJACIN Y MOMENTOS DE EMPOTRAMIENTO

ELEMENTO N 10

0.54684

3.275

R= 0.895M= 0.489

1x

2x

3x

4x

5x

6x

7x

8x

9x

• ELEMENTO N 12

0.54684

3.275

R= 0.895M= 0.489

ELEMENTO N 14

0.252

3.275

R= 0.413M= 0.225

0.225238125

0

-0.41265

0.488766731

• 0-0.8954505

0.488766731

0-0.8954505

• ELEMENTO N 1

A = 63399.773B = 440.276 = 1.5707963268

COS = 0SEN = 1

01

C = 1320.829D = -660.414E = -660.414

63399.77 0.000.00 440.280.00 660.41

-63399.77 0.000.00 -440.280.00 660.41

ELEMENTO N 2

A = 63399.773B = 440.276 = 1.5707963268

COS = 0SEN = 1

01

COS2 =SEN2 =

COS2 =SEN2 =

[ ^1 _11 ]=[ ^1 _21 ]=

• C = 1320.829D = -660.414E = -660.414

63399.77 0.000.00 440.280.00 660.41

-63399.77 0.000.00 -440.280.00 660.41

ELEMENTO N 3

A = 63399.773B = 440.276 = 1.5707963268

COS = 0SEN = 1

01

C = 1320.829D = -660.414E = -660.414

63399.77 0.000.00 440.280.00 660.41

COS2 =SEN2 =

[ ^1 _11 ]=[ ^1 _21 ]=

[ ^1 _11 ]=

• -63399.77 0.000.00 -440.280.00 660.41

ELEMENTO N 4

raz = 67928.328

raax = 541.520

rabx = rbax = 758.129

r11x = r22x = 1415.174

r12x = r21x = 707.587

67928.3 0.00.0 541.50.0 758.1

-67928.3 0.00.0 -541.50.0 758.1

541.50.0

-758.1

-541.5

[ ^1 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=

• 0.0-758.1

ELEMENTO N 5

raz = 67928.328

raax = 541.520

rabx = rbax = 758.129

r11x = r22x = 1415.174

r12x = r21x = 707.587

67928.328 00 541.5200 758.129

-67928.328 00 -541.5200 758.129

541.520.00

-758.13

-541.520.00

-758.13

ELEMENTO N 6

[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• raz = 67928.328

raax = 541.520

rabx = rbax = 758.129

r11x = r22x = 1415.174

r12x = r21x = 707.587

67928.33 0.000.00 541.520.00 758.13

-67928.33 0.000.00 -541.520.00 758.13

541.520.00

-758.13

-541.520.00

-758.13

ELEMENTO N 7

raz = 67928.328

raax = 541.520

rabx = rbax = 758.129

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• rabx = rbax = 758.129

r11x = r22x = 1415.174

r12x = r21x = 707.587

67928.33 0.000.00 541.520.00 758.13

-67928.33 0.000.00 -541.520.00 758.13

541.520.00

-758.13

-541.520.00

-758.13

ELEMENTO N 8

raz = 67928.328

raax = 541.520

rabx = rbax = 758.129

r11x = r22x = 1415.174

r12x = r21x = 707.587

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• 67928.328 00 541.5200 758.129

-67928.328 00 -541.5200 758.129

541.520.00

-758.13

-541.520.00

-758.13

ELEMENTO N 9

raz = 67928.328

raax = 541.520

rabx = rbax = 758.129

r11x = r22x = 1415.174

r12x = r21x = 707.587

67928.328 00 541.5200 758.129

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=

• -67928.328 00 -541.5200 758.129

541.520.00

-758.13

-541.520.00

-758.13

ELEMENTO N 10

raz = 49779.538

raax = 417.706

rabx = rbax = 683.994

r11x = r22x = 1493.386

r12x = r21x = 746.693

49779.5 0.00.0 417.70.0 684.0

-49779.5 0.00.0 -417.70.0 684.0

[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• 49779.50.00.0

-49779.50.00.0

ELEMENTO N 11

raz = 43765.903

raax = 283.874

rabx = rbax = 528.716

r11x = r22x = 1312.977

r12x = r21x = 656.489

43765.903 00 283.8740 528.716

-43765.903 00 -283.8740 528.716

43765.90.00.0

-43765.90.0

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• 0.0

ELEMENTO N 12

raz = 49779.538

raax = 417.706

rabx = rbax = 683.994

r11x = r22x = 1493.386

r12x = r21x = 746.693

49779.538 00 417.7060 683.994

-49779.538 00 -417.7060 683.994

49779.50.00.0

-49779.50.00.0

ELEMENTO N 13

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• raz = 43765.903

raax = 283.874

rabx = rbax = 528.716

r11x = r22x = 1312.977

r12x = r21x = 656.489

43765.903 00 283.8740 528.716

-43765.903 00 -283.8740 528.716

43765.90.00.0

-43765.90.00.0

ELEMENTO N 14

raz = 49779.538

raax = 417.706

rabx = rbax = 683.994

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• r11x = r22x = 1493.386

r12x = r21x = 746.693

49779.538 00 417.7060 683.994

-49779.538 00 -417.7060 683.994

49779.50.00.0

-49779.50.00.0

ELEMENTO N 15

raz = 43765.903

raax = 283.874

rabx = rbax = 528.716

r11x = r22x = 1312.977

r12x = r21x = 656.489

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• 43765.903 00 283.8740 528.716

-43765.903 00 -283.8740 528.716

43765.90.00.0

-43765.90.00.0

CLCULO DE LA MATRIZ DE RIGIDEZ DE LA ESTRUCTURA

1 21z 1y 1x 2z

5.1E+04 8.0E-12 -9.8E+01 -5.0E+048.0E-12 1.3E+05 6.8E+02 0.0E+00

-9.8E+01 6.8E+02 4.2E+03 0.0E+00-5.0E+04 0.0E+00 0.0E+00 9.5E+040.0E+00 -4.2E+02 -6.8E+02 8.0E-120.0E+00 6.8E+02 7.5E+02 -9.8E+010.0E+00 0.0E+00 0.0E+00 -4.4E+040.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00-5.4E+02 -4.1E-12 7.6E+02 0.0E+00-4.1E-12 -6.8E+04 -4.6E-14 0.0E+00-7.6E+02 4.6E-14 7.1E+02 0.0E+000.0E+00 0.0E+00 0.0E+00 -5.4E+020.0E+00 0.0E+00 0.0E+00 -4.1E-120.0E+00 0.0E+00 0.0E+00 -7.6E+020.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00

1 21z 1y 1x 2z

8.0E-12 1.3E+05 6.8E+02 0.0E+00-9.8E+01 6.8E+02 4.2E+03 0.0E+000.0E+00 -4.2E+02 -6.8E+02 8.0E-120.0E+00 6.8E+02 7.5E+02 -9.8E+010.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00-4.1E-12 -6.8E+04 -4.6E-14 0.0E+00-7.6E+02 4.6E-14 7.1E+02 0.0E+000.0E+00 0.0E+00 0.0E+00 -4.1E-120.0E+00 0.0E+00 0.0E+00 -7.6E+020.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+009.8E+02 8.0E-12 -9.8E+01 9.8E+02-5.4E+02 -4.1E-12 7.6E+02 -5.4E+020.0E+00 0.0E+00 0.0E+00 0.0E+00

1 21y 1x 2y 2x

1.3E+05 6.8E+02 -4.2E+02 6.8E+026.8E+02 4.2E+03 -6.8E+02 7.5E+02-4.2E+02 -6.8E+02 1.3E+05 -1.6E+026.8E+02 7.5E+02 -1.6E+02 5.5E+030.0E+00 0.0E+00 -2.8E+02 -5.3E+020.0E+00 0.0E+00 5.3E+02 6.6E+02

• -6.8E+04 -4.6E-14 0.0E+00 0.0E+004.6E-14 7.1E+02 0.0E+00 0.0E+000.0E+00 0.0E+00 -6.8E+04 -4.6E-140.0E+00 0.0E+00 4.6E-14 7.1E+020.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+008.0E-12 -9.8E+01 8.0E-12 -9.8E+01-4.1E-12 7.6E+02 -4.1E-12 7.6E+020.0E+00 0.0E+00 0.0E+00 0.0E+00

1 21y 1x 2y 2x

1.6E-05 -3.3E-06 2.0E-07 -2.4E-06-3.3E-06 3.0E-04 2.4E-06 -4.9E-062.0E-07 2.4E-06 1.5E-05 4.8E-07-2.4E-06 -4.9E-06 4.8E-07 2.1E-04-8.8E-08 8.6E-07 1.7E-07 1.9E-06-1.1E-06 6.0E-05 -1.6E-06 -7.3E-071.6E-05 -3.4E-06 3.2E-07 -2.5E-06-3.2E-06 -2.1E-05 1.8E-06 2.8E-053.2E-07 2.1E-06 1.5E-05 5.0E-07-2.5E-06 2.8E-05 4.9E-07 -1.6E-05-1.4E-07 1.2E-06 2.8E-07 2.0E-06-1.8E-06 2.1E-05 -8.3E-07 2.8E-051.6E-05 -3.4E-06 3.7E-07 -2.5E-06-4.0E-06 1.2E-05 3.2E-06 -3.1E-063.7E-07 2.2E-06 1.5E-05 5.0E-07-2.5E-06 -2.8E-06 4.9E-07 7.9E-06-1.7E-07 1.2E-06 3.3E-07 2.0E-06-9.7E-07 -1.6E-07 -2.4E-06 -3.5E-063.4E-06 -1.8E-04 -6.6E-07 -1.0E-041.0E-05 -3.6E-04 -2.0E-06 -2.2E-041.7E-05 -3.8E-04 -3.3E-06 -2.4E-04

U1zU1y

• U2zU2y

U3zU3y

U4zU4y

U5zU= U5y =

U6zU6y

U7zU7y

U8zU8y

U9zU9y

CLCULO DE DEFORMACIONES EN COORDENADAS LOCALES

ELEMENTO 1

= 1.570796

T =

0 1-1 00 00 00 00 0

K' =

63399.8 0.0

1x

2x

3x

4x

5x

6x

7x

8x

9x

• K' =0.0 440.30.0 660.4

-63399.8 0.00.0 -440.30.0 660.4

ELEMENTO 2

= 1.570796

T =

0 1-1 00 00 00 00 0

K' =

63399.8 0.00.0 440.30.0 660.4

-63399.8 0.00.0 -440.30.0 660.4

ELEMENTO 3

= 1.570796

T =

0 1-1 00 00 00 00 0

K' =

63399.8 0.00.0 440.30.0 660.4

-63399.8 0.0

• K' =0.0 -440.30.0 660.4

ELEMENTO 4

= 1.570796

T =

0 1-1 00 00 00 00 0

K' =

67928.3 0.00.0 541.50.0 758.1

-67928.3 0.00.0 -541.50.0 758.1

ELEMENTO 5

= 1.570796

T =

0 1-1 00 00 00 00 0

K' =

67928.3 0.00.0 541.50.0 758.1

-67928.3 0.00.0 -541.50.0 758.1

• ELEMENTO 6

= 1.570796

T =

0 1-1 00 00 00 00 0

K' =

67928.3 0.00.0 541.50.0 758.1

-67928.3 0.00.0 -541.50.0 758.1

ELEMENTO 7

= 1.570796

T =

0 1-1 00 00 00 00 0

K' =

67928.3 0.00.0 541.50.0 758.1

-67928.3 0.00.0 -541.50.0 758.1

ELEMENTO 8

• = 1.570796

T =

0 1-1 00 00 00 00 0

K' =

67928.3 0.00.0 541.50.0 758.1

-67928.3 0.00.0 -541.50.0 758.1

ELEMENTO 9

= 1.570796

T =

0 1-1 00 00 00 00 0

K' =

67928.3 0.00.0 541.50.0 758.1

-67928.3 0.00.0 -541.50.0 758.1

ELEMENTO 10

= 0.00000

• T =

1 00 10 00 00 00 0

K' =

49779.5 0.00.0 417.70.0 684.0

-49779.5 0.00.0 -417.70.0 684.0

ELEMENTO 11

= 0.00

T =

1 00 10 00 00 00 0

K' =

43765.9 0.00.0 283.90.0 528.7

-43765.9 0.00.0 -283.90.0 528.7

ELEMENTO 12

= 0.00

T =

1 00 10 0

• T = 0 00 00 0

K' =

49779.5 0.00.0 417.70.0 684.0

-49779.5 0.00.0 -417.70.0 684.0

ELEMENTO 13

= 0.000

T =

1 00 10 00 00 00 0

K' =

43765.9 0.00.0 283.90.0 528.7

-43765.9 0.00.0 -283.90.0 528.7

ELEMENTO 14

= 0.000

T =

1 00 10 00 00 00 0

• K' =

49779.5 0.00.0 417.70.0 684.0

-49779.5 0.00.0 -417.70.0 684.0

ELEMENTO 15

= 0.000

T =

1 00 10 00 00 00 0

K' =

43765.9 0.00.0 283.90.0 528.7

-43765.9 0.00.0 -283.90.0 528.7

VERIFICACIN DEL EQUILIBRIO

ELEMENTO 10

F' =

0.00-0.06-0.13 +0.000.06

• F' =

-0.08

ELEMENTO 12

F' =

0.00-0.04-0.10 +0.000.04-0.05

ELEMENTO 14

F' =

0.00-0.02-0.06 +0.000.02-0.02

N hn re3 2.80 cm -0.0001 cm

2 2.80 cm 0.0000 cm

1 3.00 cm 0.0000 cm

• ANLISIS MTODO MATRICIAL - PRTICO A-A - COMBO 1

0.35 m 0.35 m

0.25 m 0.25 m

A= 0.08750 A= 0.08750Ic= 0.00046 Ic= 0.00046

0.25 cm 0.25 cm

0.30 cm

Iv0.0006 cm

Av0.07500 cm

3.275 3.725B

2

5

814 15

12 13

1110

2

5

8

• U1y 0.00001x 0.0000U2y 0.00002x 0.0000U3y 0.00003x 0.0000U4y 0.00004x 0.0000U5y 0.00005x F= 0.0000

= U6y 0.00006x 0.0000U7y 0.00007x 0.0000U8y 0.00008x 0.0000U9y 0.00009x 0.0000Uz1 0.0000Uz2 0.0000Uz3 0.0000

DETERMINACIN DE FUERZAS DE FIJACIN Y MOMENTOS DE EMPOTRAMIENTO

ELEMENTO N 11

0.54684

3.275

R= 0.895 R=M= 0.489 M=

• ELEMENTO N 13

0.54684

3.275

R= 0.895 R=M= 0.489 M=

ELEMENTO N 15

0.252

3.275

R= 0.413 R=M= 0.225 M=

-0.06615 0.29139

-0.882

-0.1435455 0.63231

• -1.91394

-0.1435455 0.63231

-1.91394

-0.9-0.5-1.9-0.1-1.00.6-0.9-0.5-1.9

F= -0.1-1.00.6-0.4-0.2-0.9-0.1-0.50.30.00.00.0

• ELEMENTO N 1

raz = 63399.773

raax = 440.276

rabx = rbax = 660.414

r11x = r22x = 1320.829

r12x = r21x = 660.414

0.00 -63399.77 0.00660.41 0.00 -440.281320.83 0.00 -660.41

0.00 63399.77 0.00-660.41 0.00 440.28660.41 0.00 -660.41

440.28 0.00 660.410.00 63399.77 0.00

660.41 0.00 1320.83

ELEMENTO N 2

raz = 63399.773

raax = 440.276

rabx = rbax = 660.414

r11x = r22x = 1320.829

[ ^1 _22 ]=[ ^1 _12 ]=

[ ^1 _22 ]=

• r11x = r22x = 1320.829

r12x = r21x = 660.414

0.00 -63399.77 0.00660.41 0.00 -440.281320.83 0.00 -660.41

0.00 63399.77 0.00-660.41 0.00 440.28660.41 0.00 -660.41

440.28 0.00 660.410.00 63399.77 0.00

660.41 0.00 1320.83

ELEMENTO N 3

raz = 63399.773

raax = 440.276

rabx = rbax = 660.414

r11x = r22x = 1320.829

r12x = r21x = 660.414

0.00 -63399.77 0.00660.41 0.00 -440.281320.83 0.00 -660.41

[ ^1 _22 ]=[ ^1 _12 ]=

[ ^1 _22 ]=

[ ^1 _12 ]=

• 0.00 63399.77 0.00-660.41 0.00 440.28660.41 0.00 -660.41

440.28 0.00 660.410.00 63399.77 0.00

660.41 0.00 1320.83

ELEMENTO N 4

67928.328 = 1.5708

541.520 COS = 0.00SEN = 1.00

758.129 0.001.00

1415.174

707.587

0.0 -67928.3 0.0758.1 0.0 -541.5

1415.2 0.0 -758.1

0.0 67928.3 0.0-758.1 0.0 541.5707.6 0.0 -758.1

0.0 -758.167928.3 0.0

0.0 1415.2

0.0 758.1

COS2 =SEN2 =

[ ^1 _22 ]=[ ^1 _22 ]=

[ ^3 _22 ]=[ ^3 _12 ]=

[ ^3 _12 ]=

• -67928.3 0.00.0 707.6

ELEMENTO N 5

67928.328 = 1.5708

541.520 COS = 0.00SEN = 1.00

758.129 0.001.00

1415.174

707.587

0 -67928.328 0758.129 0 -541.520

1415.174 0 -758.129

0 67928.328 0-758.129 0 541.520707.587 0 -758.129

0.00 -758.1367928.3 0.00

0.00 1415.17

0.00 758.13-67928.3 0.00

0.00 707.59

ELEMENTO N 6

COS2 =SEN2 =

[ ^3 _22 ]=

[ ^3 _22 ]=[ ^3 _12 ]=

[ ^3 _12 ]=[ ^3 _22 ]=

• 67928.328 = 1.5708

541.520 COS = 0.00SEN = 1.00

758.129 0.001.00

1415.174

707.587

0.00 -67928.33 0.00758.13 0.00 -541.521415.17 0.00 -758.13

0.00 67928.33 0.00-758.13 0.00 541.52707.59 0.00 -758.13

0.00 -758.1367928.3 0.00

0.00 1415.17

0.00 758.13-67928.3 0.00

0.00 707.59

ELEMENTO N 7

67928.328 = 1.5708

541.520 COS = 0.00SEN = 1.00

758.129 0.00

COS2 =SEN2 =

COS2 =

[ ^3 _22 ]=[ ^3 _12 ]=

[ ^3 _12 ]=[ ^3 _22 ]=

• 758.129758.129 1.00

1415.174

707.587

0.00 -67928.33 0.00758.13 0.00 -541.521415.17 0.00 -758.13

0.00 67928.33 0.00-758.13 0.00 541.52707.59 0.00 -758.13

0.00 -758.1367928.3 0.00

0.00 1415.17

0.00 758.13-67928.3 0.00

0.00 707.59

ELEMENTO N 8

67928.328 = 1.5708

541.520 COS = 0.00SEN = 1.00

758.129 0.001.00

1415.174

707.587

SEN2 =

COS2 =SEN2 =

[ ^3 _22 ]=[ ^3 _12 ]=

[ ^3 _12 ]=[ ^3 _22 ]=

• 0 -67928.328 0758.129 0 -541.520

1415.174 0 -758.129

0 67928.328 0-758.129 0 541.520707.587 0 -758.129

0.00 -758.1367928.3 0.00

0.00 1415.17

0.00 758.13-67928.3 0.00

0.00 707.59

ELEMENTO N 9

67928.328 = 1.5708

541.520 COS = 0.00SEN = 1.00

758.129 0.001.00

1415.174

707.587

0 -67928.328 0758.129 0 -541.520

1415.174 0 -758.129

COS2 =SEN2 =

[ ^3 _22 ]=[ ^3 _12 ]=

[ ^3 _12 ]=[ ^3 _22 ]=

[ ^3 _12 ]=

• 0 67928.328 0-758.129 0 541.520707.587 0 -758.129

0.00 -758.1367928.3 0.00

0.00 1415.17

0.00 758.13-67928.3 0.00

0.00 707.59

ELEMENTO N 10

49779.538 = 0.0000

417.706 COS = 1.00SEN = 0.00

683.994 1.000.00

1493.386

746.693

0.0 -49779.5 0.0684.0 0.0 -417.7

1493.4 0.0 -684.0

0.0 49779.5 0.0-684.0 0.0 417.7746.7 0.0 -684.0

COS2 =SEN2 =

[ ^3 _22 ]=

[ ^3 _12 ]=[ ^3 _22 ]=

[ ^3 _22 ]=[ ^3 _12 ]=

• 0.0 0.0417.7 684.0684.0 1493.4

0.0 0.0-417.7 -684.0684.0 746.7

ELEMENTO N 11

43765.903 = 0.0000

283.874 COS = 1.00SEN = 0.00

528.716 1.000.00

1312.977

656.489

0 -43765.903 0528.716 0 -283.874

1312.977 0 -528.716

0 43765.903 0-528.716 0 283.874656.489 0 -528.716

0.0 0.0283.9 528.7528.7 1313.0

0.0 0.0-283.9 -528.7

COS2 =SEN2 =

[ ^3 _12 ]=[ ^3 _22 ]=

[ ^3 _22 ]=[ ^3 _12 ]=

[ ^3 _12 ]=[ ^3 _22 ]=

• 528.7 656.5

ELEMENTO N 12

49779.538 = 0.0000

417.706 COS = 1.00SEN = 0.00

683.994 1.000.00

1493.386

746.693

0 -49779.538 0683.994 0 -417.706

1493.386 0 -683.994

0 49779.538 0-683.994 0 417.706746.693 0 -683.994

0.0 0.0417.7 684.0684.0 1493.4

0.0 0.0-417.7 -684.0684.0 746.7

ELEMENTO N 13

COS2 =SEN2 =

[ ^3 _22 ]=[ ^3 _12 ]=

[ ^3 _12 ]=[ ^3 _22 ]=

• 43765.903 = 0.0000

283.874 COS = 1.00SEN = 0.00

528.716 1.000.00

1312.977

656.489

0 -43765.903 0528.716 0 -283.874

1312.977 0 -528.716

0 43765.903 0-528.716 0 283.874656.489 0 -528.716

0.0 0.0283.9 528.7528.7 1313.0

0.0 0.0-283.9 -528.7528.7 656.5

ELEMENTO N 14

49779.538 = 0.0000

417.706 COS = 1.00SEN = 0.00

683.994 1.000.00

COS2 =SEN2 =

COS2 =SEN2 =

[ ^3 _22 ]=[ ^3 _12 ]=

[ ^3 _12 ]=[ ^3 _22 ]=

• 1493.386

746.693

0 -49779.538 0683.994 0 -417.706

1493.386 0 -683.994

0 49779.538 0-683.994 0 417.706746.693 0 -683.994

0.0 0.0417.7 684.0684.0 1493.4

0.0 0.0-417.7 -684.0684.0 746.7

ELEMENTO N 15

43765.903 = 0.0000

283.874 COS = 1.00SEN = 0.00

528.716 1.000.00

1312.977

656.489

COS2 =SEN2 =

[ ^3 _22 ]=[ ^3 _12 ]=

[ ^3 _12 ]=[ ^3 _22 ]=

• 0 -43765.903 0528.716 0 -283.874

1312.977 0 -528.716

0 43765.903 0-528.716 0 283.874656.489 0 -528.716

0.0 0.0283.9 528.7528.7 1313.0

0.0 0.0-283.9 -528.7528.7 656.5

CLCULO DE LA MATRIZ DE RIGIDEZ DE LA ESTRUCTURA

2 32y 2x 3z 3y 3x

0.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+00-4.2E+02 6.8E+02 0.0E+00 0.0E+00 0.0E+00-6.8E+02 7.5E+02 0.0E+00 0.0E+00 0.0E+008.0E-12 -9.8E+01 -4.4E+04 0.0E+00 0.0E+001.3E+05 -1.6E+02 0.0E+00 -2.8E+02 5.3E+02-1.6E+02 5.5E+03 0.0E+00 -5.3E+02 6.6E+020.0E+00 0.0E+00 4.5E+04 8.0E-12 -9.8E+01-2.8E+02 -5.3E+02 8.0E-12 1.3E+05 -5.3E+025.3E+02 6.6E+02 -9.8E+01 -5.3E+02 4.0E+030.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+00-4.1E-12 7.6E+02 0.0E+00 0.0E+00 0.0E+00-6.8E+04 -4.6E-14 0.0E+00 0.0E+00 0.0E+004.6E-14 7.1E+02 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 -5.4E+02 -4.1E-12 7.6E+020.0E+00 0.0E+00 -4.1E-12 -6.8E+04 -4.6E-14

[ ^3 _22 ]=[ ^3 _12 ]=

[ ^3 _12 ]=[ ^3 _22 ]=

• 0.0E+00 0.0E+00 -7.6E+02 4.6E-14 7.1E+020.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+00

2 32y 2x 3z 3y 3x

-4.2E+02 6.8E+02 0.0E+00 0.0E+00 0.0E+00-6.8E+02 7.5E+02 0.0E+00 0.0E+00 0.0E+001.3E+05 -1.6E+02 0.0E+00 -2.8E+02 5.3E+02-1.6E+02 5.5E+03 0.0E+00 -5.3E+02 6.6E+02-2.8E+02 -5.3E+02 8.0E-12 1.3E+05 -5.3E+025.3E+02 6.6E+02 -9.8E+01 -5.3E+02 4.0E+030.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+00-6.8E+04 -4.6E-14 0.0E+00 0.0E+00 0.0E+004.6E-14 7.1E+02 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 -4.1E-12 -6.8E+04 -4.6E-140.0E+00 0.0E+00 -7.6E+02 4.6E-14 7.1E+020.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+008.0E-12 -9.8E+01 9.8E+02 8.0E-12 -9.8E+01-4.1E-12 7.6E+02 -5.4E+02 -4.1E-12 7.6E+020.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+00

3 4 53y 3x 4y 4x 5y

0.0E+00 0.0E+00 -6.8E+04 4.6E-14 0.0E+000.0E+00 0.0E+00 -4.6E-14 7.1E+02 0.0E+00-2.8E+02 5.3E+02 0.0E+00 0.0E+00 -6.8E+04-5.3E+02 6.6E+02 0.0E+00 0.0E+00 -4.6E-141.3E+05 -5.3E+02 0.0E+00 0.0E+00 0.0E+00-5.3E+02 4.0E+03 0.0E+00 0.0E+00 0.0E+00

• 0.0E+00 0.0E+00 1.4E+05 6.8E+02 -4.2E+020.0E+00 0.0E+00 6.8E+02 4.3E+03 -6.8E+020.0E+00 0.0E+00 -4.2E+02 -6.8E+02 1.4E+050.0E+00 0.0E+00 6.8E+02 7.5E+02 -1.6E+02-6.8E+04 -4.6E-14 0.0E+00 0.0E+00 -2.8E+024.6E-14 7.1E+02 0.0E+00 0.0E+00 5.3E+020.0E+00 0.0E+00 -6.8E+04 -4.6E-14 0.0E+000.0E+00 0.0E+00 4.6E-14 7.1E+02 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 -6.8E+040.0E+00 0.0E+00 0.0E+00 0.0E+00 4.6E-140.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+008.0E-12 -9.8E+01 -4.1E-12 -7.6E+02 -4.1E-12-4.1E-12 7.6E+02 8.3E-12 0.0E+00 8.3E-120.0E+00 0.0E+00 -4.1E-12 7.6E+02 -4.1E-12

3 4 53y 3x 4y 4x 5y

-8.8E-08 -1.1E-06 1.6E-05 -3.2E-06 3.2E-078.6E-07 6.0E-05 -3.4E-06 -2.1E-05 2.1E-061.7E-07 -1.6E-06 3.2E-07 1.8E-06 1.5E-051.9E-06 -7.3E-07 -2.5E-06 2.8E-05 5.0E-071.6E-05 2.7E-06 -1.4E-07 1.4E-06 2.8E-072.7E-06 3.2E-04 -1.6E-06 2.1E-05 -1.2E-06-1.4E-07 -1.6E-06 3.0E-05 -6.1E-06 5.5E-071.4E-06 2.1E-05 -6.1E-06 3.1E-04 3.8E-062.8E-07 -1.2E-06 5.5E-07 3.8E-06 2.9E-052.0E-06 2.8E-05 -4.7E-06 -5.9E-06 9.3E-071.6E-05 2.8E-06 -2.5E-07 2.3E-06 4.8E-072.6E-06 -2.3E-05 -3.0E-06 5.9E-05 -2.1E-06-1.7E-07 -1.6E-06 3.0E-05 -6.1E-06 6.6E-077.3E-07 3.2E-08 -7.6E-06 -3.5E-05 6.2E-063.3E-07 -1.3E-06 6.6E-07 3.3E-06 2.9E-052.0E-06 -3.1E-06 -4.8E-06 3.7E-05 9.4E-071.6E-05 2.8E-06 -3.0E-07 2.8E-06 5.8E-073.4E-06 1.2E-05 -1.9E-06 2.6E-05 -4.6E-06-2.7E-06 -1.9E-04 3.7E-06 -1.4E-05 -7.2E-07-8.1E-06 -3.8E-04 1.4E-05 -2.0E-04 -2.7E-06-1.4E-05 -3.9E-04 2.7E-05 -3.8E-04 -5.1E-06

• U1y -0.0000331x -0.000098U2y -0.0000782x -0.000025U3y -0.0000383x 0.000149U4y -0.0000514x -0.000087U5y -0.0001215x -0.000021U6y = -0.0000596x 0.000129U7y -0.0000577x -0.000067U8y -0.0001358x -0.000016U9y -0.0000659x 0.000095Uz1 -0.000013Uz2 -0.000035Uz3 -0.000050

CLCULO DE DEFORMACIONES EN COORDENADAS LOCALES

0 0 0 00 0 0 01 0 0 00 0 1 00 -1 0 00 0 0 1

0.0 -63399.8 0.0 0.0

• 660.4 0.0 -440.3 660.41320.8 0.0 -660.4 660.4

0.0 63399.8 0.0 0.0-660.4 0.0 440.3 -660.4660.4 0.0 -660.4 1320.8

0 0 0 00 0 0 01 0 0 00 0 1 00 -1 0 00 0 0 1

0.0 -63399.8 0.0 0.0660.4 0.0 -440.3 660.4

1320.8 0.0 -660.4 660.40.0 63399.8 0.0 0.0

-660.4 0.0 440.3 -660.4660.4 0.0 -660.4 1320.8

0 0 0 00 0 0 01 0 0 00 0 1 00 -1 0 00 0 0 1

0.0 -63399.8 0.0 0.0660.4 0.0 -440.3 660.4

1320.8 0.0 -660.4 660.40.0 63399.8 0.0 0.0

• -660.4 0.0 440.3 -660.4660.4 0.0 -660.4 1320.8

0 0 0 00 0 0 01 0 0 00 0 1 00 -1 0 00 0 0 1

0.0 -67928.3 0.0 0.0758.1 0.0 -541.5 758.1

1415.2 0.0 -758.1 707.60.0 67928.3 0.0 0.0

-758.1 0.0 541.5 -758.1707.6 0.0 -758.1 1415.2

0 0 0 00 0 0 01 0 0 00 0 1 00 -1 0 00 0 0 1

0.0 -67928.3 0.0 0.0758.1 0.0 -541.5 758.1

1415.2 0.0 -758.1 707.60.0 67928.3 0.0 0.0

-758.1 0.0 541.5 -758.1707.6 0.0 -758.1 1415.2

• 0 0 0 00 0 0 01 0 0 00 0 1 00 -1 0 00 0 0 1

0.0 -67928.3 0.0 0.0758.1 0.0 -541.5 758.1

1415.2 0.0 -758.1 707.60.0 67928.3 0.0 0.0

-758.1 0.0 541.5 -758.1707.6 0.0 -758.1 1415.2

0 0 0 00 0 0 01 0 0 00 0 1 00 -1 0 00 0 0 1

0.0 -67928.3 0.0 0.0758.1 0.0 -541.5 758.1

1415.2 0.0 -758.1 707.60.0 67928.3 0.0 0.0

-758.1 0.0 541.5 -758.1707.6 0.0 -758.1 1415.2

• 0 0 0 00 0 0 01 0 0 00 0 1 00 -1 0 00 0 0 1

0.0 -67928.3 0.0 0.0758.1 0.0 -541.5 758.1

1415.2 0.0 -758.1 707.60.0 67928.3 0.0 0.0

-758.1 0.0 541.5 -758.1707.6 0.0 -758.1 1415.2

0 0 0 00 0 0 01 0 0 00 0 1 00 -1 0 00 0 0 1

0.0 -67928.3 0.0 0.0758.1 0.0 -541.5 758.1

1415.2 0.0 -758.1 707.60.0 67928.3 0.0 0.0

-758.1 0.0 541.5 -758.1707.6 0.0 -758.1 1415.2

• 0 0 0 00 0 0 01 0 0 00 1 0 00 0 1 00 0 0 1

0.0 -49779.5 0.0 0.0684.0 0.0 -417.7 684.0

1493.4 0.0 -684.0 746.70.0 49779.5 0.0 0.0

-684.0 0.0 417.7 -684.0746.7 0.0 -684.0 1493.4

0 0 0 00 0 0 01 0 0 00 1 0 00 0 1 00 0 0 1

0.0 -43765.9 0.0 0.0528.7 0.0 -283.9 528.7

1313.0 0.0 -528.7 656.50.0 43765.9 0.0 0.0

-528.7 0.0 283.9 -528.7656.5 0.0 -528.7 1313.0

0 0 0 00 0 0 01 0 0 0

• 0 1 0 00 0 1 00 0 0 1

0.0 -49779.5 0.0 0.0684.0 0.0 -417.7 684.0

1493.4 0.0 -684.0 746.70.0 49779.5 0.0 0.0

-684.0 0.0 417.7 -684.0746.7 0.0 -684.0 1493.4

0 0 0 00 0 0 01 0 0 00 1 0 00 0 1 00 0 0 1

0.0 -43765.9 0.0 0.0528.7 0.0 -283.9 528.7

1313.0 0.0 -528.7 656.50.0 43765.9 0.0 0.0

-528.7 0.0 283.9 -528.7656.5 0.0 -528.7 1313.0

0 0 0 00 0 0 01 0 0 00 1 0 00 0 1 00 0 0 1

• 0.0 -49779.5 0.0 0.0684.0 0.0 -417.7 684.0

1493.4 0.0 -684.0 746.70.0 49779.5 0.0 0.0

-684.0 0.0 417.7 -684.0746.7 0.0 -684.0 1493.4

0 0 0 00 0 0 01 0 0 00 1 0 00 0 1 00 0 0 1

0.0 -43765.9 0.0 0.0528.7 0.0 -283.9 528.7

1313.0 0.0 -528.7 656.50.0 43765.9 0.0 0.0

-528.7 0.0 283.9 -528.7656.5 0.0 -528.7 1313.0

VERIFICACIN DEL EQUILIBRIO

0.00 0.00000.90 0.83050.49 = 0.35500.00 0.00000.90 0.9604

• 0.49 0.4097

0.00 0.00000.90 0.85060.49 = 0.39090.00 0.00000.90 0.94030.49 0.4399

0.00 0.00000.41 0.38870.23 = 0.16730.00 0.00000.41 0.43660.23 0.2048

tr rr0.0000 cm -0.0003 cm -0.0001 cm

0.0000 cm -0.0002 cm -0.0001 cm

0.0000 cm -0.0001 cm -0.0001 cm

te

• ANLISIS MTODO MATRICIAL - PRTICO A-A - COMBO 1

0.35 m

0.25 m

A= 0.08750Ic= 0.00046

0.30 cm

Iv0.00056 cm

Av0.07500 cm

2.8

2.8

3

3.725

C

3

6

9

9

6

3

• ELEMENTO N 11

0.54684

3.725

1.018 R= 1.0180.632 M= 0.632

• ELEMENTO N 13

0.54684

3.725

1.018 R= 1.0180.632 M= 0.632

ELEMENTO N 15

0.252

3.725

0.469 R= 0.4690.291 M= 0.291

-0.46935

• -1.0184895

-1.0184895

• 63399.773

440.276

660.414

1320.829

660.414

0.00660.41660.41

0.00-660.411320.83

63399.773

440.276

660.414

1320.829

• 1320.8291320.829

660.414

0.00660.41660.41

0.00-660.411320.83

63399.773

440.276

660.414

1320.829

660.414

0.00660.41660.41

• 0.00-660.411320.83

0.0758.1707.6

0.0-758.11415.2

-541.5 0.0 -758.10.0 -67928.3 0.0

758.1 0.0 707.6

541.5 0.0 758.1

• 0.0 67928.3 0.0758.1 0.0 1415.2

0758.129707.587

0-758.1291415.174

-541.52 0.00 -758.130.00 -67928.3 0.00

758.13 0.00 707.59

541.52 0.00 758.130.00 67928.3 0.00

758.13 0.00 1415.17

• 0.00758.13707.59

0.00-758.131415.17

-541.52 0.00 -758.130.00 -67928.3 0.00

758.13 0.00 707.59

541.52 0.00 758.130.00 67928.3 0.00

758.13 0.00 1415.17

• 0.00758.13707.59

0.00-758.131415.17

-541.52 0.00 -758.130.00 -67928.3 0.00

758.13 0.00 707.59

541.52 0.00 758.130.00 67928.3 0.00

758.13 0.00 1415.17

• 0758.129707.587

0-758.1291415.174

-541.52 0.00 -758.130.00 -67928.3 0.00

758.13 0.00 707.59

541.52 0.00 758.130.00 67928.3 0.00

758.13 0.00 1415.17

0758.129707.587

• 0-758.1291415.174

-541.52 0.00 -758.130.00 -67928.3 0.00

758.13 0.00 707.59

541.52 0.00 758.130.00 67928.3 0.00

758.13 0.00 1415.17

0.0684.0746.7

0.0-684.01493.4

• -49779.5 0.0 0.00.0 -417.7 684.00.0 -684.0 746.7

49779.5 0.0 0.00.0 417.7 -684.00.0 -684.0 1493.4

0528.716656.489

0-528.7161312.977

-43765.9 0.0 0.00.0 -283.9 528.70.0 -528.7 656.5

43765.9 0.0 0.00.0 283.9 -528.7

• 0.0 -528.7 1313.0

0683.994746.693

0-683.9941493.386

-49779.5 0.0 0.00.0 -417.7 684.00.0 -684.0 746.7

49779.5 0.0 0.00.0 417.7 -684.00.0 -684.0 1493.4

• 0528.716656.489

0-528.7161312.977

-43765.9 0.0 0.00.0 -283.9 528.70.0 -528.7 656.5

43765.9 0.0 0.00.0 283.9 -528.70.0 -528.7 1313.0

• 0683.994746.693

0-683.9941493.386

-49779.5 0.0 0.00.0 -417.7 684.00.0 -684.0 746.7

49779.5 0.0 0.00.0 417.7 -684.00.0 -684.0 1493.4

• 0528.716656.489

0-528.7161312.977

-43765.9 0.0 0.00.0 -283.9 528.70.0 -528.7 656.5

43765.9 0.0 0.00.0 283.9 -528.70.0 -528.7 1313.0

4 54z 4y 4x 5z 5y

-5.4E+02 -4.1E-12 -7.6E+02 0.0E+00 0.0E+00-4.1E-12 -6.8E+04 4.6E-14 0.0E+00 0.0E+007.6E+02 -4.6E-14 7.1E+02 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 -5.4E+02 -4.1E-120.0E+00 0.0E+00 0.0E+00 -4.1E-12 -6.8E+040.0E+00 0.0E+00 0.0E+00 7.6E+02 -4.6E-140.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+005.1E+04 8.3E-12 0.0E+00 -5.0E+04 0.0E+008.3E-12 1.4E+05 6.8E+02 0.0E+00 -4.2E+020.0E+00 6.8E+02 4.3E+03 0.0E+00 -6.8E+02-5.0E+04 0.0E+00 0.0E+00 9.5E+04 8.3E-120.0E+00 -4.2E+02 -6.8E+02 8.3E-12 1.4E+050.0E+00 6.8E+02 7.5E+02 0.0E+00 -1.6E+020.0E+00 0.0E+00 0.0E+00 -4.4E+04 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 -2.8E+02

• 0.0E+00 0.0E+00 0.0E+00 0.0E+00 5.3E+02-5.4E+02 -4.1E-12 7.6E+02 0.0E+00 0.0E+00-4.1E-12 -6.8E+04 -4.6E-14 0.0E+00 0.0E+00-7.6E+02 4.6E-14 7.1E+02 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 -5.4E+02 -4.1E-120.0E+00 0.0E+00 0.0E+00 -4.1E-12 -6.8E+040.0E+00 0.0E+00 0.0E+00 -7.6E+02 4.6E-140.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+00

4 54z 4y 4x 5z 5y

-4.1E-12 -6.8E+04 4.6E-14 0.0E+00 0.0E+007.6E+02 -4.6E-14 7.1E+02 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 -4.1E-12 -6.8E+040.0E+00 0.0E+00 0.0E+00 7.6E+02 -4.6E-140.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+008.3E-12 1.4E+05 6.8E+02 0.0E+00 -4.2E+020.0E+00 6.8E+02 4.3E+03 0.0E+00 -6.8E+020.0E+00 -4.2E+02 -6.8E+02 8.3E-12 1.4E+050.0E+00 6.8E+02 7.5E+02 0.0E+00 -1.6E+020.0E+00 0.0E+00 0.0E+00 0.0E+00 -2.8E+020.0E+00 0.0E+00 0.0E+00 0.0E+00 5.3E+02-4.1E-12 -6.8E+04 -4.6E-14 0.0E+00 0.0E+00-7.6E+02 4.6E-14 7.1E+02 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 -4.1E-12 -6.8E+040.0E+00 0.0E+00 0.0E+00 -7.6E+02 4.6E-140.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+00-5.4E+02 -4.1E-12 -7.6E+02 -5.4E+02 -4.1E-121.1E+03 8.3E-12 0.0E+00 1.1E+03 8.3E-12-5.4E+02 -4.1E-12 7.6E+02 -5.4E+02 -4.1E-12

5 6 75x 6y 6x 7y 7x

0.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+004.6E-14 0.0E+00 0.0E+00 0.0E+00 0.0E+007.1E+02 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 -6.8E+04 4.6E-14 0.0E+00 0.0E+000.0E+00 -4.6E-14 7.1E+02 0.0E+00 0.0E+00

• 6.8E+02 0.0E+00 0.0E+00 -6.8E+04 4.6E-147.5E+02 0.0E+00 0.0E+00 -4.6E-14 7.1E+02-1.6E+02 -2.8E+02 5.3E+02 0.0E+00 0.0E+005.6E+03 -5.3E+02 6.6E+02 0.0E+00 0.0E+00-5.3E+02 1.4E+05 -5.3E+02 0.0E+00 0.0E+006.6E+02 -5.3E+02 4.1E+03 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 6.8E+04 6.8E+020.0E+00 0.0E+00 0.0E+00 6.8E+02 2.9E+03-4.6E-14 0.0E+00 0.0E+00 -4.2E+02 -6.8E+027.1E+02 0.0E+00 0.0E+00 6.8E+02 7.5E+020.0E+00 -6.8E+04 -4.6E-14 0.0E+00 0.0E+000.0E+00 4.6E-14 7.1E+02 0.0E+00 0.0E+00-7.6E+02 -4.1E-12 -7.6E+02 0.0E+00 0.0E+000.0E+00 8.3E-12 0.0E+00 -4.1E-12 -7.6E+027.6E+02 -4.1E-12 7.6E+02 4.1E-12 7.6E+02

5 6 75x 6y 6x 7y 7x

-2.5E-06 -1.4E-07 -1.8E-06 1.6E-05 -4.0E-062.8E-05 1.2E-06 2.1E-05 -3.4E-06 1.2E-054.9E-07 2.8E-07 -8.3E-07 3.7E-07 3.2E-06-1.6E-05 2.0E-06 2.8E-05 -2.5E-06 -3.1E-062.0E-06 1.6E-05 2.6E-06 -1.7E-07 7.3E-072.8E-05 2.8E-06 -2.3E-05 -1.6E-06 3.2E-08-4.7E-06 -2.5E-07 -3.0E-06 3.0E-05 -7.6E-06-5.9E-06 2.3E-06 5.9E-05 -6.1E-06 -3.5E-059.3E-07 4.8E-07 -2.1E-06 6.6E-07 6.2E-062.2E-04 3.8E-06 -1.9E-06 -4.8E-06 4.2E-053.8E-06 3.0E-05 5.0E-06 -3.0E-07 1.4E-06-1.9E-06 5.0E-06 3.2E-04 -3.6E-06 2.6E-05-4.8E-06 -3.0E-07 -3.6E-06 4.5E-05 -1.1E-054.2E-05 1.4E-06 2.6E-05 -1.1E-05 4.3E-049.4E-07 5.7E-07 -1.4E-06 8.1E-07 9.7E-06-2.7E-05 3.9E-06 3.7E-05 -7.1E-06 -5.1E-053.9E-06 3.0E-05 5.0E-06 -3.6E-07 1.6E-064.2E-05 6.5E-06 -3.9E-05 -2.1E-06 6.6E-05-2.0E-05 -3.0E-06 -1.3E-05 3.8E-06 -4.3E-06-1.4E-04 -1.1E-05 -2.0E-04 1.4E-05 -2.4E-05-2.6E-04 -2.2E-05 -3.9E-04 3.0E-05 -2.5E-04

• u =

uaz 0.0000

u' =uay 0.0000uax 0.0000u1z 0.0000u1y 0.0000u1x -0.0001

F' =

F'ay 2.07

• F' =F'az -0.07F'ax -0.07F'1y -2.07F'1z 0.07F'1x -0.14

u =

ubz 0.0000

u' =uby 0.0000ubx 0.0000u2z 0.0000u2y -0.0001u2x 0.0000

F' =

F'by 4.96F'bz -0.02F'bx -0.03F'2y -4.96F'2z 0.02F'2x -0.04

u =

ucz 0.0000

u' =ucy 0.0000ucx 0.0000u3z 0.0000u3y 0.0000u3x 0.0001

F' =

F'cy 2.39F'cz 0.09F'cx 0.09F'3y -2.39

• F' =F'3z -0.09F'3x 0.19

u =

u1z 0.0000

u' =u1y 0.0000u1x -0.0001u4z 0.0000u4y -0.0001u4x -0.0001

F' =

F'1y 1.24F'1z -0.15F'1x -0.22F'4y -1.24F'4z 0.15F'4x -0.21

u =

u2z 0.0000

u' =u2y -0.0001u2x 0.0000u5z 0.0000u5y -0.0001u5x 0.0000

F' =

F'2y 2.93F'2z -0.05F'2x -0.07F'5y -2.93F'5z 0.05F'5x -0.06

• u =

u3z 0.0000

u' =u3y 0.0000u3x 0.0001u6z 0.0000u6y -0.0001u6x 0.0001

F' =

F'3y 1.43F'3z 0.20F'3x 0.29F'6y -1.43F'6z -0.20F'6x 0.27

u =

u4z 0.0000

u' =u4y -0.0001u4x -0.0001u7z -0.0001u7y -0.0001u7x -0.0001

F' =

F'4y 0.39F'4z -0.12F'4x -0.18F'7y -0.39F'7z 0.12F'7x -0.17

• u =

u5z 0.0000

u' =u5y -0.0001u5x 0.0000u8z -0.0001u8y -0.0001u8x 0.0000

F' =

F'5y 0.93F'5z -0.04F'5x -0.05F'8y -0.93F'8z 0.04F'8x -0.05

u =

u6z 0.0000

u' =u6y -0.0001u6x 0.0001u9z -0.0001u9y -0.0001u9x 0.0001

F' =

F'6y 0.45F'6z 0.16F'6x 0.24F'9y -0.45F'9z -0.16F'9x 0.21

• u =

u1z 0.0000

u' =u1y 0.0000u1x -0.0001u2z 0.0000u2y -0.0001u2x 0.0000

F' =

F'1y 0.00F'1z -0.06F'1x -0.13F'2y 0.00F'2z 0.06F'2x -0.08

u =

u2z 0.0000

u' =u2y -0.0001u2x 0.0000u3z 0.0000u3y 0.0000u3x 0.0001

F' =

F'2y 0.00F'2z 0.05F'2x 0.04F'3y 0.00F'3z -0.05F'3x 0.16

u =

u4z 0.0000

u' =u4y -0.0001u4x -0.0001

• u = u5z 0.0000 u' =u5y -0.0001u5x 0.0000

F' =

F'4y 0.00F'4z -0.04F'4x -0.10F'5y 0.00F'5z 0.04F'5x -0.05

u =

u5z 0.0000

u' =u5y -0.0001u5x 0.0000u6z 0.0000u6y -0.0001u6x 0.0001

F' =

F'5y 0.00F'5z 0.04F'5x 0.02F'6y 0.00F'6z -0.04F'6x 0.12

u =

u7z -0.0001

u' =u7y -0.0001u7x -0.0001u8z -0.0001u8y -0.0001u8x 0.0000

• F' =

F'7y 0.00F'7z -0.02F'7x -0.06F'8y 0.00F'8z 0.02F'8x -0.02

u =

u8z -0.0001

u' =u8y -0.0001u8x 0.0000u9z -0.0001u9y -0.0001u9x 0.0001

F' =

F'8y 0.00F'8z 0.02F'8x 0.00F'9y 0.00F'9z -0.02F'9x 0.08

ELEMENTO 11

F' =

0.00 0.000.05 1.020.04 + 0.630.00 0.00-0.05 1.02

• F' =

0.16 0.63

ELEMENTO 13

F' =

0.00 0.000.04 1.020.02 + 0.630.00 0.00-0.04 1.020.12 0.63

ELEMENTO 15

F' =

0.00 0.000.02 0.470.00 + 0.290.00 0.00-0.02 0.470.08 0.29

rr D-0.0001 cm -0.00003

-0.0001 cm -0.00005

-0.0001 cm -0.00003

• 5 6 75x 6z 6y 6x 7z

0.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+00-7.6E+02 0.0E+00 0.0E+00 0.0E+00 0.0E+004.6E-14 0.0E+00 0.0E+00 0.0E+00 0.0E+007.1E+02 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 -5.4E+02 -4.1E-12 -7.6E+02 0.0E+000.0E+00 -4.1E-12 -6.8E+04 4.6E-14 0.0E+000.0E+00 7.6E+02 -4.6E-14 7.1E+02 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 -5.4E+026.8E+02 0.0E+00 0.0E+00 0.0E+00 -4.1E-127.5E+02 0.0E+00 0.0E+00 0.0E+00 7.6E+020.0E+00 -4.4E+04 0.0E+00 0.0E+00 0.0E+00-1.6E+02 0.0E+00 -2.8E+02 5.3E+02 0.0E+005.6E+03 0.0E+00 -5.3E+02 6.6E+02 0.0E+000.0E+00 4.5E+04 8.3E-12 0.0E+00 0.0E+00-5.3E+02 8.3E-12 1.4E+05 -5.3E+02 0.0E+00

• 6.6E+02 0.0E+00 -5.3E+02 4.1E+03 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 5.0E+040.0E+00 0.0E+00 0.0E+00 0.0E+00 4.1E-120.0E+00 0.0E+00 0.0E+00 0.0E+00 7.6E+027.6E+02 0.0E+00 0.0E+00 0.0E+00 -5.0E+04-4.6E-14 0.0E+00 0.0E+00 0.0E+00 0.0E+007.1E+02 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 -5.4E+02 -4.1E-12 7.6E+02 0.0E+000.0E+00 -4.1E-12 -6.8E+04 -4.6E-14 0.0E+000.0E+00 -7.6E+02 4.6E-14 7.1E+02 0.0E+00

5 6 75x 6z 6y 6x 7z

0.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+004.6E-14 0.0E+00 0.0E+00 0.0E+00 0.0E+007.1E+02 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 -4.1E-12 -6.8E+04 4.6E-14 0.0E+000.0E+00 7.6E+02 -4.6E-14 7.1E+02 0.0E+006.8E+02 0.0E+00 0.0E+00 0.0E+00 -4.1E-127.5E+02 0.0E+00 0.0E+00 0.0E+00 7.6E+02-1.6E+02 0.0E+00 -2.8E+02 5.3E+02 0.0E+005.6E+03 0.0E+00 -5.3E+02 6.6E+02 0.0E+00-5.3E+02 8.3E-12 1.4E+05 -5.3E+02 0.0E+006.6E+02 0.0E+00 -5.3E+02 4.1E+03 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 4.1E-120.0E+00 0.0E+00 0.0E+00 0.0E+00 7.6E+02-4.6E-14 0.0E+00 0.0E+00 0.0E+00 0.0E+007.1E+02 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 -4.1E-12 -6.8E+04 -4.6E-14 0.0E+000.0E+00 -7.6E+02 4.6E-14 7.1E+02 0.0E+00-7.6E+02 -5.4E+02 -4.1E-12 -7.6E+02 0.0E+000.0E+00 1.1E+03 8.3E-12 0.0E+00 -5.4E+027.6E+02 -5.4E+02 -4.1E-12 7.6E+02 5.4E+02

8 98y 8x 9y 9x Z1

0.0E+00 0.0E+00 0.0E+00 0.0E+00 8.0E-120.0E+00 0.0E+00 0.0E+00 0.0E+00 -9.8E+010.0E+00 0.0E+00 0.0E+00 0.0E+00 8.0E-120.0E+00 0.0E+00 0.0E+00 0.0E+00 -9.8E+010.0E+00 0.0E+00 0.0E+00 0.0E+00 8.0E-120.0E+00 0.0E+00 0.0E+00 0.0E+00 -9.8E+01

• 0.0E+00 0.0E+00 0.0E+00 0.0E+00 -4.1E-120.0E+00 0.0E+00 0.0E+00 0.0E+00 -7.6E+02-6.8E+04 4.6E-14 0.0E+00 0.0E+00 -4.1E-12-4.6E-14 7.1E+02 0.0E+00 0.0E+00 -7.6E+020.0E+00 0.0E+00 -6.8E+04 4.6E-14 -4.1E-120.0E+00 0.0E+00 -4.6E-14 7.1E+02 -7.6E+02-4.2E+02 6.8E+02 0.0E+00 0.0E+00 0.0E+00-6.8E+02 7.5E+02 0.0E+00 0.0E+00 0.0E+006.9E+04 -1.6E+02 -2.8E+02 5.3E+02 0.0E+00-1.6E+02 4.2E+03 -5.3E+02 6.6E+02 0.0E+00-2.8E+02 -5.3E+02 6.8E+04 -5.3E+02 0.0E+005.3E+02 6.6E+02 -5.3E+02 2.7E+03 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 2.9E+03-4.1E-12 -7.6E+02 -4.1E-12 -7.6E+02 -1.6E+034.1E-12 7.6E+02 4.1E-12 7.6E+02 0.0E+00

8 98y 8x 9y 9x Z1

3.7E-07 -2.5E-06 -1.7E-07 -9.7E-07 3.4E-062.2E-06 -2.8E-06 1.2E-06 -1.6E-07 -1.8E-041.5E-05 4.9E-07 3.3E-07 -2.4E-06 -6.6E-075.0E-07 7.9E-06 2.0E-06 -3.5E-06 -1.0E-043.3E-07 2.0E-06 1.6E-05 3.4E-06 -2.7E-06-1.3E-06 -3.1E-06 2.8E-06 1.2E-05 -1.9E-046.6E-07 -4.8E-06 -3.0E-07 -1.9E-06 3.7E-063.3E-06 3.7E-05 2.8E-06 2.6E-05 -1.4E-052.9E-05 9.4E-07 5.8E-07 -4.6E-06 -7.2E-079.4E-07 -2.7E-05 3.9E-06 4.2E-05 -2.0E-055.7E-07 3.9E-06 3.0E-05 6.5E-06 -3.0E-06-1.4E-06 3.7E-05 5.0E-06 -3.9E-05 -1.3E-058.1E-07 -7.1E-06 -3.6E-07 -2.1E-06 3.8E-069.7E-06 -5.1E-05 1.6E-06 6.6E-05 -4.3E-064.4E-05 1.4E-06 7.1E-07 -7.5E-06 -7.2E-071.4E-06 2.8E-04 5.7E-06 -4.6E-05 -1.0E-067.1E-07 5.7E-06 4.5E-05 9.6E-06 -3.0E-06-7.5E-06 -4.6E-05 9.6E-06 4.6E-04 -4.2E-06-7.2E-07 -1.0E-06 -3.0E-06 -4.2E-06 9.9E-04-2.7E-06 -2.4E-05 -1.1E-05 -2.2E-05 1.2E-03-5.7E-06 -1.3E-04 -2.5E-05 -2.6E-04 1.3E-03

• u'ay 0.0000u'az 0.0000u'ax 0.0000u'1y 0.0000u'1z 0.0000u'1x -0.0001

• u'by 0.0000u'bz 0.0000u'bx 0.0000u'2y -0.0001u'2z 0.0000u'2x 0.0000

u'cy 0.0000u'cz 0.0000u'cx 0.0000u'3y 0.0000u'3z 0.0000u'3x 0.0001

• u'1y 0.0000u'1z 0.0000u'1x -0.0001u'4y -0.0001u'4z 0.0000u'4x -0.0001

u'2y -0.0001u'2z 0.0000u'2x 0.0000u'5y -0.0001u'5z 0.0000u'5x 0.0000

• u'3y 0.0000u'3z 0.0000u'3x 0.0001u'6y -0.0001u'6z 0.0000u'6x 0.0001

u'4y -0.0001u'4z 0.0000u'4x -0.0001u'7y -0.0001u'7z 0.0001u'7x -0.0001

• u'5y -0.0001u'5z 0.0000u'5x 0.0000u'8y -0.0001u'8z 0.0001u'8x 0.0000

u'6y -0.0001u'6z 0.0000u'6x 0.0001u'9y -0.0001u'9z 0.0001u'9x 0.0001

• u'1y 0.0000u'1z 0.0000u'1x -0.0001u'2y 0.0000u'2z -0.0001u'2x 0.0000

u'2y 0.0000u'2z -0.0001u'2x 0.0000u'3y 0.0000u'3z 0.0000u'3x 0.0001

u'4y 0.0000u'4z -0.0001u'4x -0.0001

• u'5y 0.0000u'5z -0.0001u'5x 0.0000

u'5y 0.0000u'5z -0.0001u'5x 0.0000u'6y 0.0000u'6z -0.0001u'6x 0.0001

u'7y -0.0001u'7z -0.0001u'7x -0.0001u'8y -0.0001u'8z -0.0001u'8x 0.0000

• u'8y -0.0001u'8z -0.0001u'8x 0.0000u'9y -0.0001u'9z -0.0001u'9x 0.0001

0.00001.0727

= 0.67620.00000.9642

• 0.7905

0.00001.0576

= 0.65580.00000.97930.7546

0.00000.4912

= 0.29550.00000.44750.3686

• 7 87y 7x 8z 8y 8x

0.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+00-4.1E-12 -7.6E+02 0.0E+00 0.0E+00 0.0E+00-6.8E+04 4.6E-14 0.0E+00 0.0E+00 0.0E+00-4.6E-14 7.1E+02 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 -5.4E+02 -4.1E-12 -7.6E+020.0E+00 0.0E+00 -4.1E-12 -6.8E+04 4.6E-140.0E+00 0.0E+00 7.6E+02 -4.6E-14 7.1E+020.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+00

• 0.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+004.1E-12 7.6E+02 -5.0E+04 0.0E+00 0.0E+006.8E+04 6.8E+02 0.0E+00 -4.2E+02 6.8E+026.8E+02 2.9E+03 0.0E+00 -6.8E+02 7.5E+020.0E+00 0.0E+00 9.4E+04 4.1E-12 7.6E+02-4.2E+02 -6.8E+02 4.1E-12 6.9E+04 -1.6E+026.8E+02 7.5E+02 7.6E+02 -1.6E+02 4.2E+030.0E+00 0.0E+00 -4.4E+04 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 -2.8E+02 -5.3E+020.0E+00 0.0E+00 0.0E+00 5.3E+02 6.6E+02

7 87y 7x 8z 8y 8x

0.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+00-6.8E+04 4.6E-14 0.0E+00 0.0E+00 0.0E+00-4.6E-14 7.1E+02 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 -4.1E-12 -6.8E+04 4.6E-140.0E+00 0.0E+00 7.6E+02 -4.6E-14 7.1E+020.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+006.8E+04 6.8E+02 0.0E+00 -4.2E+02 6.8E+026.8E+02 2.9E+03 0.0E+00 -6.8E+02 7.5E+02-4.2E+02 -6.8E+02 4.1E-12 6.9E+04 -1.6E+026.8E+02 7.5E+02 7.6E+02 -1.6E+02 4.2E+030.0E+00 0.0E+00 0.0E+00 -2.8E+02 -5.3E+020.0E+00 0.0E+00 0.0E+00 5.3E+02 6.6E+020.0E+00 0.0E+00 0.0E+00 0.0E+00 0.0E+00-4.1E-12 -7.6E+02 -5.4E+02 -4.1E-12 -7.6E+024.1E-12 7.6E+02 5.4E+02 4.1E-12 7.6E+02

Z2 Z3-4.1E-12 0.0E+00 1y 17.6E+02 0.0E+00 1x-4.1E-12 0.0E+00 2y 27.6E+02 0.0E+00 2x-4.1E-12 0.0E+00 3y 37.6E+02 0.0E+00 3x

• 8.3E-12 -4.1E-12 4y 40.0E+00 7.6E+02 4x8.3E-12 -4.1E-12 5y 50.0E+00 7.6E+02 5x8.3E-12 -4.1E-12 6y 60.0E+00 7.6E+02 6x-4.1E-12 4.1E-12 7y 7-7.6E+02 7.6E+02 7x-4.1E-12 4.1E-12 8y 8-7.6E+02 7.6E+02 8x-4.1E-12 4.1E-12 9y 9-7.6E+02 7.6E+02 9x-1.6E+03 0.0E+00 Z13.2E+03 -1.6E+03 Z2-1.6E+03 1.6E+03 Z3

Z2 Z31.0E-05 1.7E-05 1y 1-3.6E-04 -3.8E-04 1x-2.0E-06 -3.3E-06 2y 2-2.2E-04 -2.4E-04 2x-8.1E-06 -1.4E-05 3y 3-3.8E-04 -3.9E-04 3x1.4E-05 2.7E-05 4y 4-2.0E-04 -3.8E-04 4x-2.7E-06 -5.1E-06 5y 5-1.4E-04 -2.6E-04 5x-1.1E-05 -2.2E-05 6y 6-2.0E-04 -3.9E-04 6x1.4E-05 3.0E-05 7y 7-2.4E-05 -2.5E-04 7x-2.7E-06 -5.7E-06 8y 8-2.4E-05 -1.3E-04 8x-1.1E-05 -2.5E-05 9y 9-2.2E-05 -2.6E-04 9x1.2E-03 1.3E-03 Z12.5E-03 2.8E-03 Z22.8E-03 4.2E-03 Z3

• 99z 9y 9x

0.0E+00 0.0E+00 0.0E+00 1z10.0E+00 0.0E+00 0.0E+00 1y

0.0E+00 0.0E+00 0.0E+00 1x0.0E+00 0.0E+00 0.0E+00 2z

20.0E+00 0.0E+00 0.0E+00 2y0.0E+00 0.0E+00 0.0E+00 2x0.0E+00 0.0E+00 0.0E+00 3z

30.0E+00 0.0E+00 0.0E+00 3y0.0E+00 0.0E+00 0.0E+00 3x0.0E+00 0.0E+00 0.0E+00 4z

40.0E+00 0.0E+00 0.0E+00 4y0.0E+00 0.0E+00 0.0E+00 4x0.0E+00 0.0E+00 0.0E+00 5z

50.0E+00 0.0E+00 0.0E+00 5y0.0E+00 0.0E+00 0.0E+00 5x-5.4E+02 -4.1E-12 -7.6E+02 6z

6-4.1E-12 -6.8E+04 4.6E-14 6y

• 7.6E+02 -4.6E-14 7.1E+02 6x6

0.0E+00 0.0E+00 0.0E+00 7z70.0E+00 0.0E+00 0.0E+00 7y

0.0E+00 0.0E+00 0.0E+00 7x-4.4E+04 0.0E+00 0.0E+00 8z

80.0E+00 -2.8E+02 5.3E+02 8y0.0E+00 -5.3E+02 6.6E+02 8x4.4E+04 4.1E-12 7.6E+02 9z

94.1E-12 6.8E+04 -5.3E+02 9y7.6E+02 -5.3E+02 2.7E+03 9x

99z 9y 9x

0.0E+00 0.0E+00 0.0E+00 1y 10.0E+00 0.0E+00 0.0E+00 1x0.0E+00 0.0E+00 0.0E+00 2y 20.0E+00 0.0E+00 0.0E+00 2x0.0E+00 0.0E+00 0.0E+00 3y 30.0E+00 0.0E+00 0.0E+00 3x0.0E+00 0.0E+00 0.0E+00 4y 40.0E+00 0.0E+00 0.0E+00 4x0.0E+00 0.0E+00 0.0E+00 5y 50.0E+00 0.0E+00 0.0E+00 5x-4.1E-12 -6.8E+04 4.6E-14 6y 67.6E+02 -4.6E-14 7.1E+02 6x0.0E+00 0.0E+00 0.0E+00 7y 70.0E+00 0.0E+00 0.0E+00 7x0.0E+00 -2.8E+02 5.3E+02 8y 80.0E+00 -5.3E+02 6.6E+02 8x4.1E-12 6.8E+04 -5.3E+02 9y 97.6E+02 -5.3E+02 2.7E+03 9x0.0E+00 0.0E+00 0.0E+00 Z1-5.4E+02 -4.1E-12 -7.6E+02 Z25.4E+02 4.1E-12 7.6E+02 Z3

• ANLISIS MTODO MATRICIAL - PRTICO A-A - COMBO 2

f'c= 210

E= 2173706.51

0.0841

0.0789

0.0412

3.275A

1

4

714

12

10

7

4

1

• U1zU1y

U2zU2y

U3zU3y

U4zU4y

U5zU= U5y

U6zU6y

U7zU7y

U8zU8y

U9zU9y

DETERMINACIN DE FUERZAS DE FIJACIN Y MOMENTOS DE EMPOTRAMIENTO

ELEMENTO N 10

0.48825

3.275

R= 0.800M= 0.436

1x

2x

3x

4x

5x

6x

7x

8x

9x

• ELEMENTO N 12

0.48825

3.275

R= 0.800M= 0.436

ELEMENTO N 14

0.225

3.275

R= 0.368M= 0.201

0.201105469

0.0840777207

-0.3684375

0.436398867

• 0.0788782281-0.799509375

0.436398867

0.0412495515-0.799509375

• ELEMENTO N 1

A = 63399.773B = 440.276 = 1.5707963268

COS = 0SEN = 1

01

C = 1320.829D = -660.414E = -660.414

63399.77 0.000.00 440.280.00 660.41

-63399.77 0.000.00 -440.280.00 660.41

ELEMENTO N 2

A = 63399.773B = 440.276 = 1.5707963268

COS = 0SEN = 1

01

COS2 =SEN2 =

COS2 =SEN2 =

[ ^1 _11 ]=[ ^1 _21 ]=

• C = 1320.829D = -660.414E = -660.414

63399.77 0.000.00 440.280.00 660.41

-63399.77 0.000.00 -440.280.00 660.41

ELEMENTO N 3

A = 63399.773B = 440.276 = 1.5707963268

COS = 0SEN = 1

01

C = 1320.829D = -660.414E = -660.414

63399.77 0.000.00 440.280.00 660.41

COS2 =SEN2 =

[ ^1 _11 ]=[ ^1 _21 ]=

[ ^1 _11 ]=

• -63399.77 0.000.00 -440.280.00 660.41

ELEMENTO N 4

raz = 67928.328

raax = 541.520

rabx = rbax = 758.129

r11x = r22x = 1415.174

r12x = r21x = 707.587

67928.33 0.000.00 541.520.00 758.13

-67928.33 0.000.00 -541.520.00 758.13

541.520.00

-758.13

-541.52

[ ^1 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=

• 0.00-758.13

ELEMENTO N 5

raz = 67928.328

raax = 541.520

rabx = rbax = 758.129

r11x = r22x = 1415.174

r12x = r21x = 707.587

67928.328 00 541.5200 758.129

-67928.328 00 -541.5200 758.129

541.520.00

-758.13

-541.520.00

-758.13

ELEMENTO N 6

[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• raz = 67928.328

raax = 541.520

rabx = rbax = 758.129

r11x = r22x = 1415.174

r12x = r21x = 707.587

67928.328 00 541.5200 758.129

-67928.328 00 -541.5200 758.129

541.520.00

-758.13

-541.520.00

-758.13

ELEMENTO N 7

raz = 67928.328

raax = 541.520

rabx = rbax = 758.129

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• rabx = rbax = 758.129

r11x = r22x = 1415.174

r12x = r21x = 707.587

67928.328 00 541.5200 758.129

-67928.328 00 -541.5200 758.129

541.520.00

-758.13

-541.520.00

-758.13

ELEMENTO N 8

raz = 67928.328

raax = 541.520

rabx = rbax = 758.129

r11x = r22x = 1415.174

r12x = r21x = 707.587

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• 67928.328 00 541.5200 758.129

-67928.328 00 -541.5200 758.129

541.520.00

-758.13

-541.520.00

-758.13

ELEMENTO N 9

raz = 67928.328

raax = 541.520

rabx = rbax = 758.129

r11x = r22x = 1415.174

r12x = r21x = 707.587

67928.328 00 541.5200 758.129

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=

• -67928.328 00 -541.5200 758.129

541.520.00

-758.13

-541.520.00

-758.13

ELEMENTO N 10

raz = 49779.538

raax = 417.706

rabx = rbax = 683.994

r11x = r22x = 1493.386

r12x = r21x = 746.693

49779.538 00 417.7060 683.994

-49779.538 00 -417.7060 683.994

[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• 49779.50.00.0

-49779.50.00.0

ELEMENTO N 11

raz = 43765.903

raax = 283.874

rabx = rbax = 528.716

r11x = r22x = 1312.977

r12x = r21x = 656.489

43765.903 00 283.8740 528.716

-43765.903 00 -283.8740 528.716

43765.90.00.0

-43765.90.0

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• 0.0

ELEMENTO N 12

raz = 49779.538

raax = 417.706

rabx = rbax = 683.994

r11x = r22x = 1493.386

r12x = r21x = 746.693

49779.538 00 417.7060 683.994

-49779.538 00 -417.7060 683.994

49779.50.00.0

-49779.50.00.0

ELEMENTO N 13

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• raz = 43765.903

raax = 283.874

rabx = rbax = 528.716

r11x = r22x = 1312.977

r12x = r21x = 656.489

43765.903 00 283.8740 528.716

-43765.903 00 -283.8740 528.716

43765.90.00.0

-43765.90.00.0

ELEMENTO N 14

raz = 49779.538

raax = 417.706

rabx = rbax = 683.994

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• r11x = r22x = 1493.386

r12x = r21x = 746.693

49779.538 00 417.7060 683.994

-49779.538 00 -417.7060 683.994

49779.50.00.0

-49779.50.00.0

ELEMENTO N 15

raz = 43765.903

raax = 283.874

rabx = rbax = 528.716

r11x = r22x = 1312.977

r12x = r21x = 656.489

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• 43765.903 00 283.8740 528.716

-43765.903 00 -283.8740 528.716

43765.90.00.0

-43765.90.00.0

CLCULO DE LA MATRIZ DE RIGIDEZ DE LA ESTRUCTURA

1 21z 1y 1x 2z

5.1E+04 8.0E-12 -9.8E+01 -5.0E+048.0E-12 1.3E+05 6.8E+02 0.0E+00

-9.8E+01 6.8E+02 4.2E+03 0.0E+00-5.0E+04 0.0E+00 0.0E+00 9.5E+040.0E+00 -4.2E+02 -6.8E+02 8.0E-120.0E+00 6.8E+02 7.5E+02 -9.8E+010.0E+00 0.0E+00 0.0E+00 -4.4E+040.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00-5.4E+02 -4.1E-12 7.6E+02 0.0E+00-4.1E-12 -6.8E+04 -4.6E-14 0.0E+00-7.6E+02 4.6E-14 7.1E+02 0.0E+000.0E+00 0.0E+00 0.0E+00 -5.4E+020.0E+00 0.0E+00 0.0E+00 -4.1E-120.0E+00 0.0E+00 0.0E+00 -7.6E+020.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00

[ ^3 _11 ]=[ ^3 _21 ]=

[ ^3 _11 ]=[ ^3 _21 ]=

• 0.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00

1 21z 1y 1x 2z

8.0E-12 1.3E+05 6.8E+02 0.0E+00-9.8E+01 6.8E+02 4.2E+03 0.0E+000.0E+00 -4.2E+02 -6.8E+02 8.0E-120.0E+00 6.8E+02 7.5E+02 -9.8E+010.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+00-4.1E-12 -6.8E+04 -4.6E-14 0.0E+00-7.6E+02 4.6E-14 7.1E+02 0.0E+000.0E+00 0.0E+00 0.0E+00 -4.1E-120.0E+00 0.0E+00 0.0E+00 -7.6E+020.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+009.8E+02 8.0E-12 -9.8E+01 9.8E+02-5.4E+02 -4.1E-12 7.6E+02 -5.4E+020.0E+00 0.0E+00 0.0E+00 0.0E+00

1 21y 1x 2y 2x

1.3E+05 6.8E+02 -4.2E+02 6.8E+026.8E+02 4.2E+03 -6.8E+02 7.5E+02-4.2E+02 -6.8E+02 1.3E+05 -1.6E+026.8E+02 7.5E+02 -1.6E+02 5.5E+030.0E+00 0.0E+00 -2.8E+02 -5.3E+020.0E+00 0.0E+00 5.3E+02 6.6E+02

• -6.8E+04 -4.6E-14 0.0E+00 0.0E+004.6E-14 7.1E+02 0.0E+00 0.0E+000.0E+00 0.0E+00 -6.8E+04 -4.6E-140.0E+00 0.0E+00 4.6E-14 7.1E+020.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+000.0E+00 0.0E+00 0.0E+00 0.0E+008.0E-12 -9.8E+01 8.0E-12 -9.8E+01-4.1E-12 7.6E+02 -4.1E-12 7.6E+020.0E+00 0.0E+00 0.0E+00 0.0E+00

1 21y 1x 2y 2x

1.6E-05 -3.3E-06 2.0E-07 -2.4E-06-3.3E-06 3.0E-04 2.4E-06 -4.9E-062.0E-07 2.4E-06 1.5E-05 4.8E-07-2.4E-06 -4.9E-06 4.8E-07 2.1E-04-8.8E-08 8.6E-07 1.7E-07 1.9E-06-1.1E-06 6.0E-05 -1.6E-06 -7.3E-071.6E-05 -3.4E-06 3.2E-07 -2.5E-06-3.2E-06 -2.1E-05 1.8E-06 2.8E-053.2E-07 2.1E-06 1.5E-05 5.0E-07-2.5E-06 2.8E-05 4.9E-07 -1.6E-05-1.4E-07 1.2E-06 2.8E-07 2.0E-06-1.8E-06 2.1E-05 -8.3E-07 2.8E-051.6E-05 -3.4E-06 3.7E-07 -2.5E-06-4.0E-06 1.2E-05 3.2E-06 -3.1E-063.7E-07 2.2E-06 1.5E-05 5.0E-07-2.5E-06 -2.8E-06 4.9E-07 7.9E-06-1.7E-07 1.2E-06 3.3E-07 2.0E-06-9.7E-07 -1.6E-07 -2.4E-06 -3.5E-063.4E-06 -1.8E-04 -6.6E-07 -1.0E-041.0E-05 -3.6E-04 -2.0E-06 -2.2E-041.7E-05 -3.8E-04 -3.3E-06 -2.4E-04

U1zU1y

• U2zU2y

U3zU3y

U4zU4y

U5zU= U5y =

U6zU6y

U7zU7y

U8zU8y

U9zU9y

CLCULO DE DEFORMACIONES EN COORDENADAS LOCALES

ELEMENTO 1

= 1.570796

T =

0 1-1 00 00 00 00 0

K' =

63399.8 0.0

1x

2x

3x

4x

5x

6x

7x

8x

9x

• K' =0.0 440.30.0 660.4

-63399.8 0.00.0 -440.30.0 660.4

ELEMENTO 2

= 1.570796

T =

0 1-1 00 00 00 00 0

K' =

63399.8 0.00.0 440.30.0 660.4

-63399.8 0.00.0 -440.30.0 660.4

ELEMENTO 3

= 1.570796

T =

0 1-1 00 00 00 00 0

K' =

63399.8 0.00.0 440.30.0 660.4

-63399.8 0.0

• K' =0.0 -440.30.0 660.4

ELEMENTO 4

= 1.570796

T =

0 1-1 00 00 00 00 0

K' =

67928.3 0.00.0 541.50.0 758.1

-67928.3 0.00.0 -541.50.0 758.1

ELEMENTO 5

= 1.570796

T =

0 1-1 00 00 00 00 0

K' =

67928.3 0.00.0 541.50.0 758.1

-67928.3 0.00.0 -541.50.0 758.1

• ELEMENTO 6

= 1.570796

T =

0 1-1 00 00 00 00 0

K' =

67928.3 0.00.0 541.50.0 758.1

-67928.3 0.00.0 -541.50.0 758.1

ELEMENTO 7

= 1.570796

T =

0 1-1 00 00 00 00 0

K' =

67928.3 0.00.0 541.50.0 758.1

-67928.3 0.00.0 -541.50.0 758.1

ELEMENTO 8

• = 1.570796

T =

0 1-1 00 00 00 00 0

K' =

67928.3 0.00.0 541.50.0 758.1

-67928.3 0.00.0 -541.50.0 758.1

ELEMENTO 9

= 1.570796

T =

0 1-1 00 00 00 00 0

K' =

67928.3 0.00.0 541.50.0 758.1

-67928.3 0.00.0 -541.50.0 758.1

ELEMENTO 10

= 0.000

• T =

1 00 10 00 00 00 0

K' =

49779.5 0.00.0 417.70.0 684.0

-49779.5 0.00.0 -417.70.0 684.0

ELEMENTO 11

= 0.000

T =

1 00 10 00 00 00 0

K' =

43765.9 0.00.0 283.90.0 528.7

-43765.9 0.00.0 -283.90.0 528.7

ELEMENTO 12

= 0.000

T =

1 00 10 0

• T = 0 00 00 0

K' =

49779.5 0.00.0 417.70.0 684.0

-49779.5 0.00.0 -417.70.0 684.0

ELEMENTO 13

= 0.000

T =

1 00 10 00 00 00 0

K' =

43765.9 0.00.0 283.90.0 528.7

-43765.9 0.00.0 -283.90.0 528.7

ELEMENTO 14

= 0.000

T =

1 00 10 00 00 00 0

• K' =

49779.5 0.00.0 417.70.0 684.0

-49779.5 0.00.0 -417.70.0 684.0

ELEMENTO 15

= 0.000

T =

1 00 10 00 00 00 0

K' =

43765.9 0.00.0 283.90.0 528.7

-43765.9 0.00.0 -283.90.0 528.7

VERIFICACIN DEL EQUILIBRIO

ELEMENTO 10

F' =

0.00-0.13-0.25 +0.000.13

• F' =

-0.18

ELEMENTO 12

F' =

0.00-0.09-0.18 +0.000.09-0.13

ELEMENTO 14

F' =

0.00-0.04-0.09 +0.000.04-0.05

N hn re3 2.80 cm 0.0006 cm

2 2.80 cm 0.0005 cm

1 3.00 cm 0.0002 cm

• ANLISIS MTODO MATRICIAL - PRTICO A-A - COMBO 2

0.35 m 0.35 m

0.25 m 0.25 m

A= 0.08750 A= 0.08750Ic= 0.00046 Ic= 0.00046

0.25 cm 0.25 cm

0.30 cm

Iv0.0006 cm

Av0.07500 cm

3.275 3.725B

2

5

814 15

12 13

1110

2

5

8

• U1y 0.00001x 0.0000U2y 0.00002x 0.0000U3y 0.00003x 0.0000U4y 0.00004x 0.0000U5y 0.00005x F= 0.0000

= U6y 0.00006x 0.0000U7y 0.00007x 0.0000U8y 0.00008x 0.0000U9y 0.00009x 0.0000Uz1 0.0412Uz2 0.0789Uz3 0.0841

DETERMINACIN DE FUERZAS DE FIJACIN Y MOMENTOS DE EMPOTRAMIENTO

ELEMENTO N 11

0.48825

3.275

R= 0.800 R=M= 0.436 M=

• ELEMENTO N 13

0.48825

3.275

R= 0.800 R=M= 0.436 M=

ELEMENTO N 15

0.225

3.275

R= 0.368 R=M= 0.201 M=

-0.0590625 0.260167969

-0.7875

-0.128165625 0.564564492

• -1.708875

-0.128165625 0.564564492

-1.708875

-0.8-0.4-1.7-0.1-0.90.6-0.8-0.4-1.7

F= -0.1-0.90.6-0.4-0.2-0.8-0.1-0.40.30.00.10.1

• ELEMENTO N 1

raz = 63399.773

raax = 440.276

rabx = rbax = 660.414

r11x = r22x = 1320.829

r12x = r21x = 660.414

0.00 -63399.77 0.00660.41 0.00 -440.281320.83 0.00 -660.41

0.00 63399.77 0.00-660.41 0.00 440.28660.41 0.00 -660.41

440.28 0.00 660.410.00 63399.8 0.00

660.41 0.00 1320.83

ELEMENTO N 2

raz = 63399.773

raax = 440.276

rabx = rbax = 660.414

r11x = r22x = 1320.829

[ ^1 _22 ]=[ ^1 _12 ]=

[ ^1 _22 ]=

• r11x = r22x = 1320.829

r12x = r21x = 660.414

0.00 -63399.77 0.00660.41 0.00 -440.281320.83 0.00 -660.41

0.00 63399.77 0.00-660.41 0.00 440.28660.41 0.00 -660.41

440.28 0.00 660.410.00 63399.8 0.00

660.41 0.00 1320.83

ELEMENTO N 3

raz = 63399.773

raax = 440.276

rabx = rbax = 660.414

r11x = r22x = 1320.829

r12x = r21x = 660.414

0.00 -63399.77 0.00660.41 0.00 -440.281320.83 0.00 -660.41

[ ^1 _22 ]=[ ^1 _12 ]=

[ ^1 _22 ]=

[ ^1 _12 ]=

• 0.00 63399.77 0.00-660.41 0.00 440.28660.41 0.00 -660.41

440.28 0.00 660.410.00 63399.8 0.00

660.41 0.00 1320.83