Trabajo Final de Estructuras II(1)
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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 Lmáx(y)L4x= 3.875 m
Lmáx(x) 5.000 m
TIPOLOGÍA
1. LOSA ALIGERADA EN 1-D:
250.0 kg/m213 cm
200.0 kg/m2
14.9 cm
280.0 kg/m217 cm
230.0 kg/m2
HL-A=
3. LOSA MACIZA EN 1-D:
15.5 cm 17.5 cm δLM= 420.0 kg/m2
DIMENSIONES DE VIGAS
hv = 0.42 m 0.45 m
VP 0.14 m
bv 0.18 m0.23 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 m2
A3 5.772 m2
A4 4.851 m2
A5 3.173 m2
1.638 m
1.125 m
1.863 m
1.038 m 2.500 m
PESOS
1. PESO DE LOSA ALIGERADA
2.803 Tn
4. PESO DE TABIQUERIA REPARTIDA
1.514 Tn
7. PESO DE COLUMNAS
0.450 Tn
0.420 Tn
δ C.A=
δ TAB.R=
δ COL.1=
δ 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/cm2ϕ= 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
δ C.A δ CONT δ 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
1. PESO DE LOSA ALIGERADA
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
DENSIDAD = 0.876 Tn/m2
V= 37.305 Tn
ATT =
δ C.A=
δ TAB.R=
δ COL.3=
δ COL.2=
δ COL.1=
δ C.A δ CONT δ 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
CÁLCULO 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 δ 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
CÁLCULO DE FUERZAS SÍSMICAS
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
CÁLCULO 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
1. PESO DE LOSA ALIGERADA
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=
δ C.A=
δ TAB.R=
δ COL.3=
δ COL.2=
δ COL.1=
δ C.A δ CONT δ ENL
DENSIDAD = 0.922 Tn/m2
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
CÁLCULO DE FUERZAS SÍSMICAS
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 δ Sis*hn Fs
PREDIMENSIONAMIENTO
5.000 m 2.050 m 3.875 m
L1y= 3.725 mL2y= 3.275 m
Lmáx(y) 3.725 m
2. LOSA ALIGERADA EN 2-D:
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=
A13A13A13
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 A12
A8 11.674 m2 A13
A9 9.705 m2 A14
A10 6.781 m2 A15ATmáx
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
δ CONT=
δ 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
δ ENL δ TAB.R δ COB δ Vg δ COL
PUlt=
5.000 m 2.050 m 3.875 m
0.25 m 0.45 m
Avx =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 TABIQUERÍA PERIMÉTRICA 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
δ CONT=
δ COB=
δ TAB.P 3 =
δ TAB.P 2 =
δ TAB.P 1 =
δ ENL δ TAB.R δ COB δ Vg δ 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
CÁLCULO 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 X
4.575 m Y3 1.425 m Cg
11.000 m Y4 1.425 m Y
6.500 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 m5
0.042759 m5
0.131 m
0.44 m
0.424 m
CÁLCULO DE FUERZAS SÍSMICAS
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
CÁLCULO 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 X
4.575 m Y3 1.425 m Cg
11.000 m Y4 1.425 m Y
6.500 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 m5
1.855211 m5
IyC IyD
C D
0.246 m
0.45 m
-0.379 m
0.25 m 0.45 m
Avx =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 TABIQUERÍA PERIMÉTRICA 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
δ CONT=
δ COB=
δ TAB.P 3 =
δ TAB.P 2 =
δ TAB.P 1 =
δ ENL δ TAB.R δ COB δ Vg δ 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
CÁLCULO DE FUERZAS SÍSMICAS
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 Mínima en la Dirección 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 m
30 cm 420.0 kg/m2
# Pisos 3hi 3.00 mht 2.80 m
δCA 2400 kg/m3
s/c1 200 kg/m2s/c2 200 kg/m2
3.875 m s/c3 200 kg/m2s/c(azotea) 100 kg/m2
δ Tab. Repartida 130 kg/m2δ Lad. Pandereta 1350 kg/m2
δ Cobertura 100 kg/m2δ Enlucido 80 kg/m2
δ Contrapiso 80 kg/m2
2. LOSA ALIGERADA EN 2-D:
300.0 kg/m2
13 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 δLM= 300.0 kg/m2
0.27 m 0.30 m
0.09 m0.12 m 0.25 m
0.15 m
A5
A5 A6
A10
A12
1.125 m
0.738 m
A15
A16 A17
A15A15
1.938 m
0.663 m25.117 m2
5.114 m2 8.225 m2
4.066 m2 91.0 m2
3.609 m211.708 m2
1.6344 m2
3. PESO DE ENLUCIDO
0.937 Tn
6. PESO DE VIGAS
1.473 Tn
Avacios=
ATotal=
δ ENL=
δ Vg=
δ M δ 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
δ 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
δ M δ V δ 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
δ ENL=
δ Vg=
δ COL δ 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 m
0.00447 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 m
0.00447 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
δ M δ 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
δ ENL=
δ Vg=
δ COL δ TAB.P δ Placas
0.250 m-2.155 m
Longitud Mínima en la Dirección 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 0.6
R 7
1.40 m
1.40 m
1.40 m
1.40 m
1.50 m
1.50 m
1.50 m
δ Sis58.261 Tn79.311 Tn80.039 Tn
217.611 Tn
δ V δ Sis8.040 Tn 60.308 Tn16.080 Tn 83.892 Tn16.080 Tn 84.818 Tn
229.019 Tn
ANÁLISIS MÉTODO MUTTO - PÓRTICO 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 Fs
3 280 cm 0.468 Tn
2 280 cm 0.439 Tn
1 300 cm 0.229 Tn
ANÁLISIS MÉTODO MUTTO - PÓRTICO 2-2
E= 217370.65 kg/cm2
R= 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 ∆re
0.468 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
ANÁLISIS MÉTODO MUTTO - PÓRTICO 2-2
VIGAS
25 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 ∆rr
0.0790 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
VIGAS
25 cm
45 cm
Iv
45 cm
Iv189843.75 189843.75
Kv Kv914.90964 379.688
25 cm
45 cm
Iv
45 cm
Iv189843.75 189843.75
Kv Kv914.90964 379.688
25 cm
45 cm
Iv
45 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
D
0.00169
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
ANÁLISIS MÉTODO MUTTO - PÓRTICO 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 Qs
3 280 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
ANÁLISIS MÉTODO MUTTO - PÓRTICO A-A
E= 217370.65 Kg/cm2
R= 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 ∆re
0.084 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
ANÁLISIS MÉTODO MUTTO - PÓRTICO A-A
VIGAS
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
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 = 0.9278280.00 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 D
0.0673 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
ANÁLISIS MÉTODO MUTTO - PÓRTICO A-A
6.282 Tn/cm
6.282 Tn/cm
7.292 Tn/cm
0.07 cm
0.05 cm
0.03 cm
D
0.00144
0.00116
0.00056
ANÁLISIS MÉTODO MUTTO - PÓRTICO 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 Qs
3 280 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
ANÁLISIS MÉTODO MUTTO - PÓRTICO B-B
E= 217370.65 Kg/cm2
R= 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 ∆re
0.176 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
ANÁLISIS MÉTODO MUTTO - PÓRTICO B-B
VIGAS
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
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 = 0.9278280.00 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 D
0.1411 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
ANÁLISIS MÉTODO MUTTO - PÓRTICO B-B
6.282 Tn/cm
6.282 Tn/cm
7.292 Tn/cm
0.14 cm
0.11 cm
0.06 cm
D
0.00302
0.00242
0.00117
ANÁLISIS MÉTODO MUTTO - PÓRTICO 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 Qs
3 280 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
ANÁLISIS MÉTODO MUTTO - PÓRTICO D-D
E= 217370.65 Kg/cm2
R= 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 ∆re
0.084 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
ANÁLISIS MÉTODO MUTTO - PÓRTICO D-D
VIGAS
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
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 = 0.9278280.00 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 D
0.0673 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
ANÁLISIS MÉTODO MUTTO - PÓRTICO D-D
6.282 Tn/cm
6.282 Tn/cm
7.292 Tn/cm
0.07 cm
0.05 cm
0.03 cm
D
0.00144
0.00116
0.00056
ANÁLISIS MÉTODO MUTTO - PÓRTICO 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 Qs
3 280 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
ANÁLISIS MÉTODO MUTTO - PÓRTICO E-E
E= 217370.65 Kg/cm2
R= 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 ∆re
0.176 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
ANÁLISIS MÉTODO MUTTO - PÓRTICO E-E
VIGAS
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
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 = 0.2165280.00 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 D
0.1137 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
ANÁLISIS MÉTODO MUTTO - PÓRTICO E-E
6.833 Tn/cm
6.833 Tn/cm
11.283 Tn/cm
0.11 cm
0.09 cm
0.04 cm
D
0.00244
0.00188
0.00076
METRADO DE CARGAS
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
δCA 2400 kg/m3s/c1 200 kg/m2s/c2 200 kg/m2s/c3 200 kg/m2
s/c(azotea) 100 kg/m2δ Tab. Repartida 130 kg/m2δ Lad. Pandereta 1350 kg/m2
δ Cobertura 100 kg/m2δ Enlucido 80 kg/m2
δ Contrapiso 80 kg/m2
1
2
3
A B
PÓRTICO 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
METRADO DE CARGAS
A2 A3
A12A13
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
METRADO DE CARGAS
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 m
A16
E
W2 W3
0.54684 0.252
0.48825 0.225
0.35154 0.162
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A - COMBO 1
f'c= 210
E= 2173706.51
0.0000
0.0000
0.0000
3.275
A
1
4
714
12
10
7
4
1
U1zU1y
U2zU2y
U3zU3y
U4zU4y
U5z
U= U5y
U6zU6y
U7zU7y
U8zU8y
U9zU9y
DETERMINACIÓN DE FUERZAS DE FIJACIÓN Y MOMENTOS DE EMPOTRAMIENTO
ELEMENTO N° 10
0.54684
3.275
R= 0.895M= 0.489
Ɵ1x
Ɵ2x
Ɵ3x
Ɵ4x
Ɵ5x
Ɵ6x
Ɵ7x
Ɵ8x
Ɵ9x
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 = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
C = 1320.829D = -660.414E = -660.414
63399.77 0.00
0.00 440.28
0.00 660.41
-63399.77 0.00
0.00 -440.28
0.00 660.41
COORDENADAS GLOBALES
ELEMENTO N° 2
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _11 ]=
[ 〖�^1 〗 _21 ]=
C = 1320.829D = -660.414E = -660.414
63399.77 0.00
0.00 440.28
0.00 660.41
-63399.77 0.00
0.00 -440.28
0.00 660.41
COORDENADAS GLOBALES
ELEMENTO N° 3
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
C = 1320.829D = -660.414E = -660.414
63399.77 0.00
0.00 440.28
0.00 660.41
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _11 ]=
[ 〖�^1 〗 _21 ]=
[ 〖�^1 〗 _11 ]=
-63399.77 0.00
0.00 -440.28
0.00 660.41
COORDENADAS GLOBALES
ELEMENTO N° 4
raz = 67928.328
raax = 541.520
rabx = rbax = 758.129
r11x = r22x = 1415.174
r12x = r21x = 707.587
67928.3 0.0
0.0 541.5
0.0 758.1
-67928.3 0.0
0.0 -541.5
0.0 758.1
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0.00
0.00 541.52
0.00 758.13
-67928.33 0.00
0.00 -541.52
0.00 758.13
COORDENADAS GLOBALES
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 0.00
0.00 541.52
0.00 758.13
-67928.33 0.00
0.00 -541.52
0.00 758.13
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0.0
0.0 417.7
0.0 684.0
-49779.5 0.0
0.0 -417.7
0.0 684.0
COORDENADAS GLOBALES
[ 〖�^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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
43765.90.00.0
-43765.90.00.0
CÁLCULO 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
CÁLCULO DE DEFORMACIONES EN COORDENADAS LOCALES
ELEMENTO 1
Ɵ = 1.570796
T =
0 1-1 00 00 00 00 0
K' =
63399.8 0.0
Ɵ1x
Ɵ2x
Ɵ3x
Ɵ4x
Ɵ5x
Ɵ6x
Ɵ7x
Ɵ8x
Ɵ9x
K' =
0.0 440.30.0 660.4
-63399.8 0.00.0 -440.30.0 660.4
ELEMENTO 2
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
VERIFICACIÓN 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 ∆re
3 2.80 cm -0.0001 cm
2 2.80 cm 0.0000 cm
1 3.00 cm 0.0000 cm
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO 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 3.725
B
2
5
814 15
12 13
1110
2
5
8
U1y 0.0000Ɵ1x 0.0000U2y 0.0000Ɵ2x 0.0000U3y 0.0000Ɵ3x 0.0000U4y 0.0000Ɵ4x 0.0000U5y 0.0000Ɵ5x F= 0.0000
= U6y 0.0000Ɵ6x 0.0000U7y 0.0000Ɵ7x 0.0000U8y 0.0000Ɵ8x 0.0000U9y 0.0000Ɵ9x 0.0000Uz1 0.0000Uz2 0.0000Uz3 0.0000
DETERMINACIÓN DE FUERZAS DE FIJACIÓN 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 0.00
660.41 0.00 -440.28
1320.83 0.00 -660.41
0.00 63399.77 0.00
-660.41 0.00 440.28
660.41 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 0.00
660.41 0.00 -440.28
1320.83 0.00 -660.41
0.00 63399.77 0.00
-660.41 0.00 440.28
660.41 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 0.00
660.41 0.00 -440.28
1320.83 0.00 -660.41
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _12 ]=
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _12 ]=
0.00 63399.77 0.00
-660.41 0.00 440.28
660.41 0.00 -660.41
440.28 0.00 660.410.00 63399.77 0.00
660.41 0.00 1320.83
ELEMENTO N° 4
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0.0 -67928.3 0.0
758.1 0.0 -541.5
1415.2 0.0 -758.1
0.0 67928.3 0.0
-758.1 0.0 541.5
707.6 0.0 -758.1
0.0 -758.167928.3 0.0
0.0 1415.2
0.0 758.1
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
-67928.3 0.00.0 707.6
ELEMENTO N° 5
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0.00 -67928.33 0.00
758.13 0.00 -541.52
1415.17 0.00 -758.13
0.00 67928.33 0.00
-758.13 0.00 541.52
707.59 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
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
758.129758.1291.00
1415.174
707.587
0.00 -67928.33 0.00
758.13 0.00 -541.52
1415.17 0.00 -758.13
0.00 67928.33 0.00
-758.13 0.00 541.52
707.59 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
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
0 67928.328 0
-758.129 0 541.520
707.587 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
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
1493.386
746.693
0.0 -49779.5 0.0
684.0 0.0 -417.7
1493.4 0.0 -684.0
0.0 49779.5 0.0
-684.0 0.0 417.7
746.7 0.0 -684.0
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^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
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.0 0.0283.9 528.7528.7 1313.0
0.0 0.0-283.9 -528.7
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
528.7 656.5
ELEMENTO N° 12
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 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 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 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
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 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
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.0 0.0283.9 528.7528.7 1313.0
0.0 0.0-283.9 -528.7528.7 656.5
CÁLCULO 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 -0.000033Ɵ1x -0.000098U2y -0.000078Ɵ2x -0.000025U3y -0.000038Ɵ3x 0.000149U4y -0.000051Ɵ4x -0.000087U5y -0.000121Ɵ5x -0.000021U6y = -0.000059Ɵ6x 0.000129U7y -0.000057Ɵ7x -0.000067U8y -0.000135Ɵ8x -0.000016U9y -0.000065Ɵ9x 0.000095Uz1 -0.000013Uz2 -0.000035Uz3 -0.000050
CÁLCULO 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
VERIFICACIÓN DEL EQUILIBRIO
0.00 0.00000.90 0.83050.49
=0.3550
0.00 0.00000.90 0.9604
0.49 0.4097
0.00 0.00000.90 0.85060.49
=0.3909
0.00 0.00000.90 0.94030.49 0.4399
0.00 0.00000.41 0.38870.23
=0.1673
0.00 0.00000.41 0.43660.23 0.2048
∆tr ∆rr
0.0000 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
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO 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
0.00
660.41
660.41
0.00
-660.41
1320.83
63399.773
440.276
660.414
1320.829
1320.8291320.829
660.414
0.00
660.41
660.41
0.00
-660.41
1320.83
63399.773
440.276
660.414
1320.829
660.414
0.00
660.41
660.41
0.00
-660.41
1320.83
0.0
758.1
707.6
0.0
-758.1
1415.2
-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
0
758.129
707.587
0
-758.129
1415.174
-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
0.00
758.13
707.59
0.00
-758.13
1415.17
-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
0.00
758.13
707.59
0.00
-758.13
1415.17
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
0.0
684.0
746.7
0.0
-684.0
1493.4
-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
0
528.716
656.489
0
-528.716
1312.977
-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
0
683.994
746.693
0
-683.994
1493.386
-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
0
528.716
656.489
0
-528.716
1312.977
-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
0
683.994
746.693
0
-683.994
1493.386
-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
0
528.716
656.489
0
-528.716
1312.977
-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
+0.63
0.00 0.00-0.05 1.02
F' =
0.16 0.63
ELEMENTO 13
F' =
0.00 0.000.04 1.020.02
+0.63
0.00 0.00-0.04 1.020.12 0.63
ELEMENTO 15
F' =
0.00 0.000.02 0.470.00
+0.29
0.00 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 4y4
0.0E+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 1y1
0.0E+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
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A - COMBO 2
f'c= 210
E= 2173706.51
0.0841
0.0789
0.0412
3.275
A
1
4
714
12
10
7
4
1
U1zU1y
U2zU2y
U3zU3y
U4zU4y
U5z
U= U5y
U6zU6y
U7zU7y
U8zU8y
U9zU9y
DETERMINACIÓN DE FUERZAS DE FIJACIÓN Y MOMENTOS DE EMPOTRAMIENTO
ELEMENTO N° 10
0.48825
3.275
R= 0.800M= 0.436
Ɵ1x
Ɵ2x
Ɵ3x
Ɵ4x
Ɵ5x
Ɵ6x
Ɵ7x
Ɵ8x
Ɵ9x
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 = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
C = 1320.829D = -660.414E = -660.414
63399.77 0.00
0.00 440.28
0.00 660.41
-63399.77 0.00
0.00 -440.28
0.00 660.41
COORDENADAS GLOBALES
ELEMENTO N° 2
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _11 ]=
[ 〖�^1 〗 _21 ]=
C = 1320.829D = -660.414E = -660.414
63399.77 0.00
0.00 440.28
0.00 660.41
-63399.77 0.00
0.00 -440.28
0.00 660.41
COORDENADAS GLOBALES
ELEMENTO N° 3
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
C = 1320.829D = -660.414E = -660.414
63399.77 0.00
0.00 440.28
0.00 660.41
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _11 ]=
[ 〖�^1 〗 _21 ]=
[ 〖�^1 〗 _11 ]=
-63399.77 0.00
0.00 -440.28
0.00 660.41
COORDENADAS GLOBALES
ELEMENTO N° 4
raz = 67928.328
raax = 541.520
rabx = rbax = 758.129
r11x = r22x = 1415.174
r12x = r21x = 707.587
67928.33 0.00
0.00 541.52
0.00 758.13
-67928.33 0.00
0.00 -541.52
0.00 758.13
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
[ 〖�^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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
43765.90.00.0
-43765.90.00.0
CÁLCULO 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
CÁLCULO DE DEFORMACIONES EN COORDENADAS LOCALES
ELEMENTO 1
Ɵ = 1.570796
T =
0 1-1 00 00 00 00 0
K' =
63399.8 0.0
Ɵ1x
Ɵ2x
Ɵ3x
Ɵ4x
Ɵ5x
Ɵ6x
Ɵ7x
Ɵ8x
Ɵ9x
K' =
0.0 440.30.0 660.4
-63399.8 0.00.0 -440.30.0 660.4
ELEMENTO 2
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
VERIFICACIÓN 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 ∆re
3 2.80 cm 0.0006 cm
2 2.80 cm 0.0005 cm
1 3.00 cm 0.0002 cm
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO 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 3.725
B
2
5
814 15
12 13
1110
2
5
8
U1y 0.0000Ɵ1x 0.0000U2y 0.0000Ɵ2x 0.0000U3y 0.0000Ɵ3x 0.0000U4y 0.0000Ɵ4x 0.0000U5y 0.0000Ɵ5x F= 0.0000
= U6y 0.0000Ɵ6x 0.0000U7y 0.0000Ɵ7x 0.0000U8y 0.0000Ɵ8x 0.0000U9y 0.0000Ɵ9x 0.0000Uz1 0.0412Uz2 0.0789Uz3 0.0841
DETERMINACIÓN DE FUERZAS DE FIJACIÓN 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 0.00
660.41 0.00 -440.28
1320.83 0.00 -660.41
0.00 63399.77 0.00
-660.41 0.00 440.28
660.41 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 0.00
660.41 0.00 -440.28
1320.83 0.00 -660.41
0.00 63399.77 0.00
-660.41 0.00 440.28
660.41 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 0.00
660.41 0.00 -440.28
1320.83 0.00 -660.41
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _12 ]=
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _12 ]=
0.00 63399.77 0.00
-660.41 0.00 440.28
660.41 0.00 -660.41
440.28 0.00 660.410.00 63399.8 0.00
660.41 0.00 1320.83
ELEMENTO N° 4
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0.00 -67928.33 0.00
758.13 0.00 -541.52
1415.17 0.00 -758.13
0.00 67928.33 0.00
-758.13 0.00 541.52
707.59 0.00 -758.13
0.00 -758.1367928.3 0.00
0.00 1415.17
0.00 758.13
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
-67928.3 0.000.00 707.59
ELEMENTO N° 5
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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° 7
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
758.129758.1291.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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° 8
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
0 67928.328 0
-758.129 0 541.520
707.587 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
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 0 -683.994
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^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
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.0 0.0283.9 528.7528.7 1313.0
0.0 0.0-283.9 -528.7
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
528.7 656.5
ELEMENTO N° 12
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 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 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 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
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 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
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.0 0.0283.9 528.7528.7 1313.0
0.0 0.0-283.9 -528.7528.7 656.5
CÁLCULO 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 -0.000027Ɵ1x -0.000155U2y -0.000070Ɵ2x -0.000064U3y -0.000036Ɵ3x 0.000063U4y -0.000042Ɵ4x -0.000125U5y -0.000109Ɵ5x -0.000053U6y = -0.000055Ɵ6x 0.000066U7y -0.000047Ɵ7x -0.000082U8y -0.000121Ɵ8x -0.000027U9y -0.000061Ɵ9x 0.000061Uz1 0.000232Uz2 0.000458Uz3 0.000584
CÁLCULO 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
VERIFICACIÓN DEL EQUILIBRIO
0.00 0.00000.80 0.66840.44
=0.1877
0.00 0.00000.80 0.9306
0.44 0.2558
0.00 0.00000.80 0.70560.44
=0.2556
0.00 0.00000.80 0.89340.44 0.3097
0.00 0.00000.37 0.32460.20
=0.1089
0.00 0.00000.37 0.41230.20 0.1497
∆tr ∆rr
0.0001 cm 0.0035 cm 0.0008 cm
0.0002 cm 0.0027 cm 0.0014 cm
0.0002 cm 0.0014 cm 0.0014 cm
∆te
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A - COMBO 2
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
0.48825
3.725
0.909 R= 0.9090.565 M= 0.565
ELEMENTO N° 13
0.48825
3.725
0.909 R= 0.9090.565 M= 0.565
ELEMENTO N° 15
0.225
3.725
0.419 R= 0.4190.260 M= 0.260
-0.4190625
-0.909365625
-0.909365625
63399.773
440.276
660.414
1320.829
660.414
0.00
660.41
660.41
0.00
-660.41
1320.83
63399.773
440.276
660.414
1320.829
1320.8291320.829
660.414
0.00
660.41
660.41
0.00
-660.41
1320.83
63399.773
440.276
660.414
1320.829
660.414
0.00
660.41
660.41
0.00
-660.41
1320.83
0.00
758.13
707.59
0.00
-758.13
1415.17
-541.52 0.00 -758.130.00 -67928.3 0.00
758.13 0.00 707.59
541.52 0.00 758.13
0.00 67928.3 0.00758.13 0.00 1415.17
0
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
683.994
746.693
0
-683.994
1493.386
-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
0
528.716
656.489
0
-528.716
1312.977
-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
0
683.994
746.693
0
-683.994
1493.386
-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
0
528.716
656.489
0
-528.716
1312.977
-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
0
683.994
746.693
0
-683.994
1493.386
-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
0
528.716
656.489
0
-528.716
1312.977
-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 0.0002u1y 0.0000u1x -0.0002
F' =
F'ay 1.70
F' =
F'az 0.00F'ax 0.05F'1y -1.70F'1z 0.00F'1x -0.05
u =
ubz 0.0000
u' =
uby 0.0000ubx 0.0000u2z 0.0002u2y -0.0001u2x -0.0001
F' =
F'by 4.46F'bz 0.06F'bx 0.11F'2y -4.46F'2z -0.06F'2x 0.07
u =
ucz 0.0000
u' =
ucy 0.0000ucx 0.0000u3z 0.0002u3y 0.0000u3x 0.0001
F' =
F'cy 2.26F'cz 0.14F'cx 0.19F'3y -2.26
F' =F'3z -0.14F'3x 0.24
u =
u1z 0.0002
u' =
u1y 0.0000u1x -0.0002u4z 0.0005u4y 0.0000u4x -0.0001
F' =
F'1y 1.03F'1z -0.09F'1x -0.14F'4y -1.03F'4z 0.09F'4x -0.12
u =
u2z 0.0002
u' =
u2y -0.0001u2x -0.0001u5z 0.0005u5y -0.0001u5x -0.0001
F' =
F'2y 2.63F'2z 0.03F'2x 0.04F'5y -2.63F'5z -0.03F'5x 0.05
u =
u3z 0.0002
u' =
u3y 0.0000u3x 0.0001u6z 0.0005u6y -0.0001u6x 0.0001
F' =
F'3y 1.34F'3z 0.22F'3x 0.31F'6y -1.34F'6z -0.22F'6x 0.31
u =
u4z 0.0005
u' =
u4y 0.0000u4x -0.0001u7z 0.0006u7y 0.0000u7x -0.0001
F' =
F'4y 0.32F'4z -0.09F'4x -0.14F'7y -0.32F'7z 0.09F'7x -0.11
u =
u5z 0.0005
u' =
u5y -0.0001u5x -0.0001u8z 0.0006u8y -0.0001u8x 0.0000
F' =
F'5y 0.83F'5z 0.01F'5x 0.00F'8y -0.83F'8z -0.01F'8x 0.02
u =
u6z 0.0005
u' =
u6y -0.0001u6x 0.0001u9z 0.0006u9y -0.0001u9x 0.0001
F' =
F'6y 0.42F'6z 0.17F'6x 0.23F'9y -0.42F'9z -0.17F'9x 0.23
u =
u1z 0.0002
u' =
u1y 0.0000u1x -0.0002u2z 0.0002u2y -0.0001u2x -0.0001
F' =
F'1y 0.00F'1z -0.13F'1x -0.25F'2y 0.00F'2z 0.13F'2x -0.18
u =
u2z 0.0002
u' =
u2y -0.0001u2x -0.0001u3z 0.0002u3y 0.0000u3x 0.0001
F' =
F'2y 0.00F'2z -0.01F'2x -0.06F'3y 0.00F'3z 0.01F'3x 0.02
u =
u4z 0.0005
u' =
u4y 0.0000u4x -0.0001
u = u5z 0.0005 u' =u5y -0.0001u5x -0.0001
F' =
F'4y 0.00F'4z -0.09F'4x -0.18F'5y 0.00F'5z 0.09F'5x -0.13
u =
u5z 0.0005
u' =
u5y -0.0001u5x -0.0001u6z 0.0005u6y -0.0001u6x 0.0001
F' =
F'5y 0.00F'5z -0.01F'5x -0.05F'6y 0.00F'6z 0.01F'6x 0.02
u =
u7z 0.0006
u' =
u7y 0.0000u7x -0.0001u8z 0.0006u8y -0.0001u8x 0.0000
F' =
F'7y 0.00F'7z -0.04F'7x -0.09F'8y 0.00F'8z 0.04F'8x -0.05
u =
u8z 0.0006
u' =
u8y -0.0001u8x 0.0000u9z 0.0006u9y -0.0001u9x 0.0001
F' =
F'8y 0.00F'8z 0.00F'8x -0.03F'9y 0.00F'9z 0.00F'9x 0.03
ELEMENTO 11
F' =
0.00 0.00-0.01 0.91-0.06
+0.56
0.00 0.000.01 0.91
F' =
0.02 0.56
ELEMENTO 13
F' =
0.00 0.00-0.01 0.91-0.05
+0.56
0.00 0.000.01 0.910.02 0.56
ELEMENTO 15
F' =
0.00 0.000.00 0.42-0.03
+0.26
0.00 0.000.00 0.420.03 0.26
∆rr D
0.0008 cm 0.00027
0.0014 cm 0.00048
0.0014 cm 0.00046
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 -0.0002u'1x -0.0002
u'by 0.0000u'bz 0.0000u'bx 0.0000u'2y -0.0001u'2z -0.0002u'2x -0.0001
u'cy 0.0000u'cz 0.0000u'cx 0.0000u'3y 0.0000u'3z -0.0002u'3x 0.0001
u'1y 0.0000u'1z -0.0002u'1x -0.0002u'4y 0.0000u'4z -0.0005u'4x -0.0001
u'2y -0.0001u'2z -0.0002u'2x -0.0001u'5y -0.0001u'5z -0.0005u'5x -0.0001
u'3y 0.0000u'3z -0.0002u'3x 0.0001u'6y -0.0001u'6z -0.0005u'6x 0.0001
u'4y 0.0000u'4z -0.0005u'4x -0.0001u'7y 0.0000u'7z -0.0006u'7x -0.0001
u'5y -0.0001u'5z -0.0005u'5x -0.0001u'8y -0.0001u'8z -0.0006u'8x 0.0000
u'6y -0.0001u'6z -0.0005u'6x 0.0001u'9y -0.0001u'9z -0.0006u'9x 0.0001
u'1y 0.0002u'1z 0.0000u'1x -0.0002u'2y 0.0002u'2z -0.0001u'2x -0.0001
u'2y 0.0002u'2z -0.0001u'2x -0.0001u'3y 0.0002u'3z 0.0000u'3x 0.0001
u'4y 0.0005u'4z 0.0000u'4x -0.0001
u'5y 0.0005u'5z -0.0001u'5x -0.0001
u'5y 0.0005u'5z -0.0001u'5x -0.0001u'6y 0.0005u'6z -0.0001u'6x 0.0001
u'7y 0.0006u'7z 0.0000u'7x -0.0001u'8y 0.0006u'8z -0.0001u'8x 0.0000
u'8y 0.0006u'8z -0.0001u'8x 0.0000u'9y 0.0006u'9z -0.0001u'9x 0.0001
0.00000.8991
=0.50390.00000.9197
0.5868
0.00000.9010
=0.51010.00000.91770.5880
0.00000.4199
=0.23270.00000.41820.2909
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 4y4
0.0E+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 1y1
0.0E+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
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A - COMBO 3
f'c= 210
E= 2173706.51
-0.0841
-0.0789
-0.0412
3.275
A
1
4
714
12
10
7
4
1
U1zU1y
U2zU2y
U3zU3y
U4zU4y
U5z
U= U5y
U6zU6y
U7zU7y
U8zU8y
U9zU9y
DETERMINACIÓN DE FUERZAS DE FIJACIÓN Y MOMENTOS DE EMPOTRAMIENTO
ELEMENTO N° 10
0.48825
3.275
R= 0.800M= 0.436
Ɵ1x
Ɵ2x
Ɵ3x
Ɵ4x
Ɵ5x
Ɵ6x
Ɵ7x
Ɵ8x
Ɵ9x
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 = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 2
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _11 ]=
[ 〖�^1 〗 _21 ]=
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 3
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _11 ]=
[ 〖�^1 〗 _21 ]=
[ 〖�^1 〗 _11 ]=
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 4
raz = 67928.328
raax = 541.520
rabx = rbax = 758.129
r11x = r22x = 1415.174
r12x = r21x = 707.587
67928.328 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
[ 〖�^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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
43765.90.00.0
-43765.90.00.0
CÁLCULO 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
CÁLCULO DE DEFORMACIONES EN COORDENADAS LOCALES
ELEMENTO 1
Ɵ = 1.570796
T =
0 1-1 00 00 00 00 0
K' =
63399.8 0.0
Ɵ1x
Ɵ2x
Ɵ3x
Ɵ4x
Ɵ5x
Ɵ6x
Ɵ7x
Ɵ8x
Ɵ9x
K' =
0.0 440.30.0 660.4
-63399.8 0.00.0 -440.30.0 660.4
ELEMENTO 2
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 0.000000
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
Ɵ = 0.0000
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
Ɵ = 0.0000
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
Ɵ = 0.0000
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
Ɵ = 0.0000
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
Ɵ = 0.0000
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
VERIFICACIÓN DEL EQUILIBRIO
ELEMENTO 10
F' =
0.000.020.01
+0.00-0.02
F' =
0.04
ELEMENTO 12
F' =
0.000.010.01
+0.00-0.010.04
ELEMENTO 14
F' =
0.000.00-0.01
+0.000.000.01
N hn ∆re
3 2.80 cm -0.0007 cm
2 2.80 cm -0.0005 cm
1 3.00 cm -0.0003 cm
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A - COMBO 3
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 3.725
B
2
5
814 15
12 13
1110
2
5
8
U1y 0.0000Ɵ1x 0.0000U2y 0.0000Ɵ2x 0.0000U3y 0.0000Ɵ3x 0.0000U4y 0.0000Ɵ4x 0.0000U5y 0.0000Ɵ5x F= 0.0000
= U6y 0.0000Ɵ6x 0.0000U7y 0.0000Ɵ7x 0.0000U8y 0.0000Ɵ8x 0.0000U9y 0.0000Ɵ9x 0.0000Uz1 -0.0412Uz2 -0.0789Uz3 -0.0841
DETERMINACIÓN DE FUERZAS DE FIJACIÓN 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= -0.1-0.90.6-0.4-0.2-0.8-0.1-0.40.30.0-0.1-0.1
ELEMENTO N° 1
raz = 63399.773
raax = 440.276
rabx = rbax = 660.414
r11x = r22x = 1320.829
r12x = r21x = 660.414
0 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
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 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
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 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _12 ]=
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _12 ]=
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
440.28 0.00 660.410.00 63399.8 0.00
660.41 0.00 1320.83
ELEMENTO N° 4
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 0 -758.129
0.00 -758.1367928.3 0.00
0.00 1415.17
0.00 758.13
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
-67928.3 0.000.00 707.59
ELEMENTO N° 5
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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° 7
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
758.129758.1291.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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° 8
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
0 67928.328 0
-758.129 0 541.520
707.587 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
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 0 -683.994
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^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
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.0 0.0283.9 528.7528.7 1313.0
0.0 0.0-283.9 -528.7
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
528.7 656.5
ELEMENTO N° 12
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 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 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 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
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 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
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.0 0.0283.9 528.7528.7 1313.0
0.0 0.0-283.9 -528.7528.7 656.5
CÁLCULO 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 -0.000032Ɵ1x -0.000020U2y -0.000069Ɵ2x 0.000019U3y -0.000032Ɵ3x 0.000204U4y -0.000049Ɵ4x -0.000030U5y -0.000108Ɵ5x 0.000014U6y = -0.000050Ɵ6x 0.000165U7y -0.000054Ɵ7x -0.000037U8y -0.000120Ɵ8x -0.000002U9y -0.000055Ɵ9x 0.000108Uz1 -0.000256Uz2 -0.000520Uz3 -0.000674
CÁLCULO 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
VERIFICACIÓN DEL EQUILIBRIO
0.00 0.00000.80 0.81460.44
=0.4463
0.00 0.00000.80 0.7844
0.44 0.4758
0.00 0.00000.80 0.81340.44
=0.4425
0.00 0.00000.80 0.78560.44 0.4757
0.00 0.00000.37 0.36960.20
=0.1899
0.00 0.00000.37 0.36730.20 0.2160
∆tr ∆rr
-0.0002 cm -0.0040 cm -0.0009 cm
-0.0003 cm -0.0031 cm -0.0016 cm
-0.0003 cm -0.0015 cm -0.0015 cm
∆te
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A - COMBO 3
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
0.48825
3.725
0.909 R= 0.9090.565 M= 0.565
ELEMENTO N° 13
0.48825
3.725
0.909 R= 0.9090.565 M= 0.565
ELEMENTO N° 15
0.225
3.725
0.419 R= 0.4190.260 M= 0.260
-0.4190625
-0.909365625
-0.909365625
63399.773
440.276
660.414
1320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
63399.773
440.276
660.414
1320.829
1320.8291320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
63399.773
440.276
660.414
1320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
0
758.129
707.587
0
-758.129
1415.174
-541.52 0.00 -758.130.00 -67928.3 0.00
758.13 0.00 707.59
541.52 0.00 758.13
0.00 67928.3 0.00758.13 0.00 1415.17
0
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
683.994
746.693
0
-683.994
1493.386
-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
0
528.716
656.489
0
-528.716
1312.977
-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
0
683.994
746.693
0
-683.994
1493.386
-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
0
528.716
656.489
0
-528.716
1312.977
-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
0
683.994
746.693
0
-683.994
1493.386
-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
0
528.716
656.489
0
-528.716
1312.977
-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 -0.0003u1y 0.0000u1x 0.0000
F' =
F'ay 2.00
F' =
F'az -0.13F'ax -0.18F'1y -2.00F'1z 0.13F'1x -0.20
u =
ubz 0.0000
u' =
uby 0.0000ubx 0.0000u2z -0.0003u2y -0.0001u2x 0.0000
F' =
F'by 4.40F'bz -0.10F'bx -0.16F'2y -4.40F'2z 0.10F'2x -0.14
u =
ucz 0.0000
u' =
ucy 0.0000ucx 0.0000u3z -0.0003u3y 0.0000u3x 0.0002
F' =
F'cy 2.01F'cz 0.02F'cx -0.03F'3y -2.01
F' =F'3z -0.02F'3x 0.10
u =
u1z -0.0003
u' =
u1y 0.0000u1x 0.0000u4z -0.0005u4y 0.0000u4x 0.0000
F' =
F'1y 1.18F'1z -0.18F'1x -0.25F'4y -1.18F'4z 0.18F'4x -0.26
u =
u2z -0.0003
u' =
u2y -0.0001u2x 0.0000u5z -0.0005u5y -0.0001u5x 0.0000
F' =
F'2y 2.60F'2z -0.12F'2x -0.16F'5y -2.60F'5z 0.12F'5x -0.17
u =
u3z -0.0003
u' =
u3y 0.0000u3x 0.0002u6z -0.0005u6y 0.0000u6x 0.0002
F' =
F'3y 1.21F'3z 0.14F'3x 0.20F'6y -1.21F'6z -0.14F'6x 0.18
u =
u4z -0.0005
u' =
u4y 0.0000u4x 0.0000u7z -0.0007u7y -0.0001u7x 0.0000
F' =
F'4y 0.37F'4z -0.13F'4x -0.19F'7y -0.37F'7z 0.13F'7x -0.19
u =
u5z -0.0005
u' =
u5y -0.0001u5x 0.0000u8z -0.0007u8y -0.0001u8x 0.0000
F' =
F'5y 0.82F'5z -0.07F'5x -0.10F'8y -0.82F'8z 0.07F'8x -0.11
u =
u6z -0.0005
u' =
u6y 0.0000u6x 0.0002u9z -0.0007u9y -0.0001u9x 0.0001
F' =
F'6y 0.38F'6z 0.12F'6x 0.19F'9y -0.38F'9z -0.12F'9x 0.15
u =
u1z -0.0003
u' =
u1y 0.0000u1x 0.0000u2z -0.0003u2y -0.0001u2x 0.0000
F' =
F'1y 0.00F'1z 0.02F'1x 0.01F'2y 0.00F'2z -0.02F'2x 0.04
u =
u2z -0.0003
u' =
u2y -0.0001u2x 0.0000u3z -0.0003u3y 0.0000u3x 0.0002
F' =
F'2y 0.00F'2z 0.11F'2x 0.14F'3y 0.00F'3z -0.11F'3x 0.26
u =
u4z -0.0005
u' =
u4y 0.0000u4x 0.0000
u = u5z -0.0005 u' =u5y -0.0001u5x 0.0000
F' =
F'4y 0.00F'4z 0.01F'4x 0.01F'5y 0.00F'5z -0.01F'5x 0.04
u =
u5z -0.0005
u' =
u5y -0.0001u5x 0.0000u6z -0.0005u6y 0.0000u6x 0.0002
F' =
F'5y 0.00F'5z 0.08F'5x 0.10F'6y 0.00F'6z -0.08F'6x 0.19
u =
u7z -0.0007
u' =
u7y -0.0001u7x 0.0000u8z -0.0007u8y -0.0001u8x 0.0000
F' =
F'7y 0.00F'7z 0.00F'7x -0.01F'8y 0.00F'8z 0.00F'8x 0.01
u =
u8z -0.0007
u' =
u8y -0.0001u8x 0.0000u9z -0.0007u9y -0.0001u9x 0.0001
F' =
F'8y 0.00F'8z 0.04F'8x 0.03F'9y 0.00F'9z -0.04F'9x 0.11
ELEMENTO 11
F' =
0.00 0.000.11 0.910.14
+0.56
0.00 0.00-0.11 0.91
F' =
0.26 0.56
ELEMENTO 13
F' =
0.00 0.000.08 0.910.10
+0.56
0.00 0.00-0.08 0.910.19 0.56
ELEMENTO 15
F' =
0.00 0.000.04 0.420.03
+0.26
0.00 0.00-0.04 0.420.11 0.26
∆rr D
-0.0009 cm -0.00033
-0.0016 cm -0.00057
-0.0015 cm -0.00051
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 0.0003u'1x 0.0000
u'by 0.0000u'bz 0.0000u'bx 0.0000u'2y -0.0001u'2z 0.0003u'2x 0.0000
u'cy 0.0000u'cz 0.0000u'cx 0.0000u'3y 0.0000u'3z 0.0003u'3x 0.0002
u'1y 0.0000u'1z 0.0003u'1x 0.0000u'4y 0.0000u'4z 0.0005u'4x 0.0000
u'2y -0.0001u'2z 0.0003u'2x 0.0000u'5y -0.0001u'5z 0.0005u'5x 0.0000
u'3y 0.0000u'3z 0.0003u'3x 0.0002u'6y 0.0000u'6z 0.0005u'6x 0.0002
u'4y 0.0000u'4z 0.0005u'4x 0.0000u'7y -0.0001u'7z 0.0007u'7x 0.0000
u'5y -0.0001u'5z 0.0005u'5x 0.0000u'8y -0.0001u'8z 0.0007u'8x 0.0000
u'6y 0.0000u'6z 0.0005u'6x 0.0002u'9y -0.0001u'9z 0.0007u'9x 0.0001
u'1y -0.0003u'1z 0.0000u'1x 0.0000u'2y -0.0003u'2z -0.0001u'2x 0.0000
u'2y -0.0003u'2z -0.0001u'2x 0.0000u'3y -0.0003u'3z 0.0000u'3x 0.0002
u'4y -0.0005u'4z 0.0000u'4x 0.0000
u'5y -0.0005u'5z -0.0001u'5x 0.0000
u'5y -0.0005u'5z -0.0001u'5x 0.0000u'6y -0.0005u'6z 0.0000u'6x 0.0002
u'7y -0.0007u'7z -0.0001u'7x 0.0000u'8y -0.0007u'8z -0.0001u'8x 0.0000
u'8y -0.0007u'8z -0.0001u'8x 0.0000u'9y -0.0007u'9z -0.0001u'9x 0.0001
0.00001.0166
=0.70360.00000.8022
0.8248
0.00000.9876
=0.66100.00000.83110.7596
0.00000.4572
=0.29500.00000.38100.3673
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 4y4
0.0E+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 1y1
0.0E+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
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A - COMBO 4
f'c= 210
E= 2173706.51
0.0841
0.0789
0.0412
3.275
A
1
4
714
12
10
7
4
1
U1zU1y
U2zU2y
U3zU3y
U4zU4y
U5z
U= U5y
U6zU6y
U7zU7y
U8zU8y
U9zU9y
DETERMINACIÓN DE FUERZAS DE FIJACIÓN Y MOMENTOS DE EMPOTRAMIENTO
ELEMENTO N° 10
0.35154
3.275
R= 0.576M= 0.314
Ɵ1x
Ɵ2x
Ɵ3x
Ɵ4x
Ɵ5x
Ɵ6x
Ɵ7x
Ɵ8x
Ɵ9x
ELEMENTO N° 12
0.35154
3.275
R= 0.576M= 0.314
ELEMENTO N° 14
0.162
3.275
R= 0.265M= 0.145
0.144795938
0.0840777207
-0.265275
0.314207184
0.0788782281-0.57564675
0.314207184
0.0412495515-0.57564675
ELEMENTO N° 1
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 2
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _11 ]=
[ 〖�^1 〗 _21 ]=
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 3
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _11 ]=
[ 〖�^1 〗 _21 ]=
[ 〖�^1 〗 _11 ]=
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 4
raz = 67928.328
raax = 541.520
rabx = rbax = 758.129
r11x = r22x = 1415.174
r12x = r21x = 707.587
67928.328 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
[ 〖�^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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
43765.90.00.0
-43765.90.00.0
CÁLCULO 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
CÁLCULO DE DEFORMACIONES EN COORDENADAS LOCALES
ELEMENTO 1
Ɵ = 1.570796
T =
0 1-1 00 00 00 00 0
K' =
63399.8 0.0
Ɵ1x
Ɵ2x
Ɵ3x
Ɵ4x
Ɵ5x
Ɵ6x
Ɵ7x
Ɵ8x
Ɵ9x
K' =
0.0 440.30.0 660.4
-63399.8 0.00.0 -440.30.0 660.4
ELEMENTO 2
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 0.00
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
Ɵ = 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
Ɵ = 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
Ɵ = 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 14
Ɵ = 0.00
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
Ɵ = 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
VERIFICACIÓN DEL EQUILIBRIO
ELEMENTO 10
F' =
0.00-0.11-0.22
+0.000.11
F' =
-0.16
ELEMENTO 12
F' =
0.00-0.08-0.16
+0.000.08-0.11
ELEMENTO 14
F' =
0.00-0.04-0.08
+0.000.04-0.05
N hn ∆re
3 2.80 cm 0.0006 cm
2 2.80 cm 0.0005 cm
1 3.00 cm 0.0002 cm
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A - COMBO 4
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 3.725
B
2
5
814 15
12 13
1110
2
5
8
U1y 0.0000Ɵ1x 0.0000U2y 0.0000Ɵ2x 0.0000U3y 0.0000Ɵ3x 0.0000U4y 0.0000Ɵ4x 0.0000U5y 0.0000Ɵ5x F= 0.0000
= U6y 0.0000Ɵ6x 0.0000U7y 0.0000Ɵ7x 0.0000U8y 0.0000Ɵ8x 0.0000U9y 0.0000Ɵ9x 0.0000Uz1 0.0412Uz2 0.0789Uz3 0.0841
DETERMINACIÓN DE FUERZAS DE FIJACIÓN Y MOMENTOS DE EMPOTRAMIENTO
ELEMENTO N° 11
0.35154
3.275
R= 0.576 R=M= 0.314 M=
ELEMENTO N° 13
0.35154
3.275
R= 0.576 R=M= 0.314 M=
ELEMENTO N° 15
0.162
3.275
R= 0.265 R=M= 0.145 M=
-0.042525 0.187320938
-0.567
-0.09227925 0.406486434
-1.23039
-0.09227925 0.406486434
-1.23039
-0.6-0.3-1.2-0.1-0.70.4-0.6-0.3-1.2
F= -0.1-0.70.4-0.3-0.1-0.60.0-0.30.20.00.10.1
ELEMENTO N° 1
raz = 63399.773
raax = 440.276
rabx = rbax = 660.414
r11x = r22x = 1320.829
r12x = r21x = 660.414
0 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
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 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
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 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _12 ]=
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _12 ]=
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
440.28 0.00 660.410.00 63399.8 0.00
660.41 0.00 1320.83
ELEMENTO N° 4
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 0 -758.129
0.00 -758.1367928.3 0.00
0.00 1415.17
0.00 758.13
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
-67928.3 0.000.00 707.59
ELEMENTO N° 5
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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° 7
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
758.129758.1291.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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° 8
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
0 67928.328 0
-758.129 0 541.520
707.587 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
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 0 -683.994
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^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
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.0 0.0283.9 528.7528.7 1313.0
0.0 0.0-283.9 -528.7
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
528.7 656.5
ELEMENTO N° 12
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 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 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 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
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 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
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.0 0.0283.9 528.7528.7 1313.0
0.0 0.0-283.9 -528.7528.7 656.5
CÁLCULO 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 -0.000019Ɵ1x -0.000130U2y -0.000051Ɵ2x -0.000057U3y -0.000026Ɵ3x 0.000025U4y -0.000029Ɵ4x -0.000104U5y -0.000079Ɵ5x -0.000047U6y = -0.000041Ɵ6x 0.000034U7y -0.000033Ɵ7x -0.000066U8y -0.000087Ɵ8x -0.000023U9y -0.000045Ɵ9x 0.000038Uz1 0.000236Uz2 0.000466Uz3 0.000597
CÁLCULO 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
VERIFICACIÓN DEL EQUILIBRIO
0.00 0.00000.58 0.46080.31
=0.0989
0.00 0.00000.58 0.6905
0.31 0.1533
0.00 0.00000.58 0.49300.31
=0.1578
0.00 0.00000.58 0.65830.31 0.1998
0.00 0.00000.27 0.22740.14
=0.0671
0.00 0.00000.27 0.30320.14 0.0985
∆tr ∆rr
0.0001 cm 0.0036 cm 0.0008 cm
0.0002 cm 0.0028 cm 0.0014 cm
0.0002 cm 0.0014 cm 0.0014 cm
∆te
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A - COMBO 4
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
0.35154
3.725
0.655 R= 0.6550.406 M= 0.406
ELEMENTO N° 13
0.35154
3.725
0.655 R= 0.6550.406 M= 0.406
ELEMENTO N° 15
0.162
3.725
0.302 R= 0.3020.187 M= 0.187
-0.301725
-0.65474325
-0.65474325
63399.773
440.276
660.414
1320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
63399.773
440.276
660.414
1320.829
1320.8291320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
63399.773
440.276
660.414
1320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
0
758.129
707.587
0
-758.129
1415.174
-541.52 0.00 -758.130.00 -67928.3 0.00
758.13 0.00 707.59
541.52 0.00 758.13
0.00 67928.3 0.00758.13 0.00 1415.17
0
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
683.994
746.693
0
-683.994
1493.386
-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
0
528.716
656.489
0
-528.716
1312.977
-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
0
683.994
746.693
0
-683.994
1493.386
-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
0
528.716
656.489
0
-528.716
1312.977
-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
0
683.994
746.693
0
-683.994
1493.386
-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
0
528.716
656.489
0
-528.716
1312.977
-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 0.0002u1y 0.0000u1x -0.0001
F' =
F'ay 1.18
F' =
F'az 0.02F'ax 0.07F'1y -1.18F'1z -0.02F'1x -0.02
u =
ubz 0.0000
u' =
uby 0.0000ubx 0.0000u2z 0.0002u2y -0.0001u2x -0.0001
F' =
F'by 3.22F'bz 0.07F'bx 0.12F'2y -3.22F'2z -0.07F'2x 0.08
u =
ucz 0.0000
u' =
ucy 0.0000ucx 0.0000u3z 0.0002u3y 0.0000u3x 0.0000
F' =
F'cy 1.66F'cz 0.12F'cx 0.17F'3y -1.66
F' =F'3z -0.12F'3x 0.19
u =
u1z 0.0002
u' =
u1y 0.0000u1x -0.0001u4z 0.0005u4y 0.0000u4x -0.0001
F' =
F'1y 0.72F'1z -0.05F'1x -0.08F'4y -0.72F'4z 0.05F'4x -0.06
u =
u2z 0.0002
u' =
u2y -0.0001u2x -0.0001u5z 0.0005u5y -0.0001u5x 0.0000
F' =
F'2y 1.90F'2z 0.05F'2x 0.06F'5y -1.90F'5z -0.05F'5x 0.07
u =
u3z 0.0002
u' =
u3y 0.0000u3x 0.0000u6z 0.0005u6y 0.0000u6x 0.0000
F' =
F'3y 0.98F'3z 0.17F'3x 0.23F'6y -0.98F'6z -0.17F'6x 0.24
u =
u4z 0.0005
u' =
u4y 0.0000u4x -0.0001u7z 0.0006u7y 0.0000u7x -0.0001
F' =
F'4y 0.23F'4z -0.06F'4x -0.09F'7y -0.23F'7z 0.06F'7x -0.07
u =
u5z 0.0005
u' =
u5y -0.0001u5x 0.0000u8z 0.0006u8y -0.0001u8x 0.0000
F' =
F'5y 0.60F'5z 0.02F'5x 0.02F'8y -0.60F'8z -0.02F'8x 0.03
u =
u6z 0.0005
u' =
u6y 0.0000u6x 0.0000u9z 0.0006u9y 0.0000u9x 0.0000
F' =
F'6y 0.31F'6z 0.12F'6x 0.17F'9y -0.31F'9z -0.12F'9x 0.18
u =
u1z 0.0002
u' =
u1y 0.0000u1x -0.0001u2z 0.0002u2y -0.0001u2x -0.0001
F' =
F'1y 0.00F'1z -0.11F'1x -0.22F'2y 0.00F'2z 0.11F'2x -0.16
u =
u2z 0.0002
u' =
u2y -0.0001u2x -0.0001u3z 0.0002u3y 0.0000u3x 0.0000
F' =
F'2y 0.00F'2z -0.02F'2x -0.07F'3y 0.00F'3z 0.02F'3x -0.02
u =
u4z 0.0005
u' =
u4y 0.0000u4x -0.0001
u = u5z 0.0005 u' =u5y -0.0001u5x 0.0000
F' =
F'4y 0.00F'4z -0.08F'4x -0.16F'5y 0.00F'5z 0.08F'5x -0.11
u =
u5z 0.0005
u' =
u5y -0.0001u5x 0.0000u6z 0.0005u6y 0.0000u6x 0.0000
F' =
F'5y 0.00F'5z -0.02F'5x -0.06F'6y 0.00F'6z 0.02F'6x -0.01
u =
u7z 0.0006
u' =
u7y 0.0000u7x -0.0001u8z 0.0006u8y -0.0001u8x 0.0000
F' =
F'7y 0.00F'7z -0.04F'7x -0.08F'8y 0.00F'8z 0.04F'8x -0.05
u =
u8z 0.0006
u' =
u8y -0.0001u8x 0.0000u9z 0.0006u9y 0.0000u9x 0.0000
F' =
F'8y 0.00F'8z 0.00F'8x -0.03F'9y 0.00F'9z 0.00F'9x 0.01
ELEMENTO 11
F' =
0.00 0.00-0.02 0.65-0.07
+0.41
0.00 0.000.02 0.65
F' =
-0.02 0.41
ELEMENTO 13
F' =
0.00 0.00-0.02 0.65-0.06
+0.41
0.00 0.000.02 0.65-0.01 0.41
ELEMENTO 15
F' =
0.00 0.000.00 0.30-0.03
+0.19
0.00 0.000.00 0.300.01 0.19
∆rr D
0.0008 cm 0.00028
0.0014 cm 0.00049
0.0014 cm 0.00047
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 -0.0002u'1x -0.0001
u'by 0.0000u'bz 0.0000u'bx 0.0000u'2y -0.0001u'2z -0.0002u'2x -0.0001
u'cy 0.0000u'cz 0.0000u'cx 0.0000u'3y 0.0000u'3z -0.0002u'3x 0.0000
u'1y 0.0000u'1z -0.0002u'1x -0.0001u'4y 0.0000u'4z -0.0005u'4x -0.0001
u'2y -0.0001u'2z -0.0002u'2x -0.0001u'5y -0.0001u'5z -0.0005u'5x 0.0000
u'3y 0.0000u'3z -0.0002u'3x 0.0000u'6y 0.0000u'6z -0.0005u'6x 0.0000
u'4y 0.0000u'4z -0.0005u'4x -0.0001u'7y 0.0000u'7z -0.0006u'7x -0.0001
u'5y -0.0001u'5z -0.0005u'5x 0.0000u'8y -0.0001u'8z -0.0006u'8x 0.0000
u'6y 0.0000u'6z -0.0005u'6x 0.0000u'9y 0.0000u'9z -0.0006u'9x 0.0000
u'1y 0.0002u'1z 0.0000u'1x -0.0001u'2y 0.0002u'2z -0.0001u'2x -0.0001
u'2y 0.0002u'2z -0.0001u'2x -0.0001u'3y 0.0002u'3z 0.0000u'3x 0.0000
u'4y 0.0005u'4z 0.0000u'4x -0.0001
u'5y 0.0005u'5z -0.0001u'5x 0.0000
u'5y 0.0005u'5z -0.0001u'5x 0.0000u'6y 0.0005u'6z 0.0000u'6x 0.0000
u'7y 0.0006u'7z 0.0000u'7x -0.0001u'8y 0.0006u'8z -0.0001u'8x 0.0000
u'8y 0.0006u'8z -0.0001u'8x 0.0000u'9y 0.0006u'9z 0.0000u'9x 0.0000
0.00000.6309
=0.33490.00000.6786
0.3892
0.00000.6366
=0.34610.00000.67290.3994
0.00000.2972
=0.15880.00000.30630.1988
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 4y4
0.0E+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 1y1
0.0E+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
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A - COMBO 5
f'c= 210
E= 2173706.51
-0.0841
-0.0789
-0.0412
3.275
A
1
4
714
12
10
7
4
1
U1zU1y
U2zU2y
U3zU3y
U4zU4y
U5z
U= U5y
U6zU6y
U7zU7y
U8zU8y
U9zU9y
DETERMINACIÓN DE FUERZAS DE FIJACIÓN Y MOMENTOS DE EMPOTRAMIENTO
ELEMENTO N° 10
0.35154
3.275
R= 0.576M= 0.314
Ɵ1x
Ɵ2x
Ɵ3x
Ɵ4x
Ɵ5x
Ɵ6x
Ɵ7x
Ɵ8x
Ɵ9x
ELEMENTO N° 12
0.35154
3.275
R= 0.576M= 0.314
ELEMENTO N° 14
0.162
3.275
R= 0.265M= 0.145
0.144795938
-0.0840777207
-0.265275
0.314207184
-0.0788782281-0.57564675
0.314207184
-0.0412495515-0.57564675
ELEMENTO N° 1
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 2
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _11 ]=
[ 〖�^1 〗 _21 ]=
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 3
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _11 ]=
[ 〖�^1 〗 _21 ]=
[ 〖�^1 〗 _11 ]=
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 4
raz = 67928.328
raax = 541.520
rabx = rbax = 758.129
r11x = r22x = 1415.174
r12x = r21x = 707.587
67928.328 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
49779.540.000.00
-49779.540.000.00
ELEMENTO N° 11
raz = 43765.903
raax = 283.874
rabx = rbax = 528.716
r11x = r22x = 1312.977
r12x = r21x = 656.489
43765.903 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
43765.900.000.00
-43765.900.00
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
0.00
ELEMENTO N° 12
raz = 49779.538
raax = 417.706
rabx = rbax = 683.994
r11x = r22x = 1493.386
r12x = r21x = 746.693
49779.538 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
49779.540.000.00
-49779.540.000.00
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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
43765.900.000.00
-43765.900.000.00
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
49779.540.000.00
-49779.540.000.00
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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
43765.900.000.00
-43765.900.000.00
CÁLCULO 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
CÁLCULO DE DEFORMACIONES EN COORDENADAS LOCALES
ELEMENTO 1
Ɵ = 1.570796
T =
0 1-1 00 00 00 00 0
K' =
63399.8 0.0
Ɵ1x
Ɵ2x
Ɵ3x
Ɵ4x
Ɵ5x
Ɵ6x
Ɵ7x
Ɵ8x
Ɵ9x
K' =
0.0 440.30.0 660.4
-63399.8 0.00.0 -440.30.0 660.4
ELEMENTO 2
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
VERIFICACIÓN DEL EQUILIBRIO
ELEMENTO 10
F' =
0.000.030.04
+0.00-0.03
F' =
0.06
ELEMENTO 12
F' =
0.000.030.03
+0.00-0.030.05
ELEMENTO 14
F' =
0.000.010.00
+0.00-0.010.02
N hn ∆re
3 2.80 cm -0.0007 cm
2 2.80 cm -0.0005 cm
1 3.00 cm -0.0003 cm
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A - COMBO 5
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 3.725
B
2
5
814 15
12 13
1110
2
5
8
U1y 0.0000Ɵ1x 0.0000U2y 0.0000Ɵ2x 0.0000U3y 0.0000Ɵ3x 0.0000U4y 0.0000Ɵ4x 0.0000U5y 0.0000Ɵ5x F= 0.0000
= U6y 0.0000Ɵ6x 0.0000U7y 0.0000Ɵ7x 0.0000U8y 0.0000Ɵ8x 0.0000U9y 0.0000Ɵ9x 0.0000Uz1 -0.0412Uz2 -0.0789Uz3 -0.0841
DETERMINACIÓN DE FUERZAS DE FIJACIÓN Y MOMENTOS DE EMPOTRAMIENTO
ELEMENTO N° 11
0.35154
3.275
R= 0.576 R=M= 0.314 M=
ELEMENTO N° 13
0.35154
3.275
R= 0.576 R=M= 0.314 M=
ELEMENTO N° 15
0.162
3.275
R= 0.265 R=M= 0.145 M=
-0.042525 0.187320938
-0.567
-0.09227925 0.406486434
-1.23039
-0.09227925 0.406486434
-1.23039
-0.6-0.3-1.2-0.1-0.70.4-0.6-0.3-1.2
F= -0.1-0.70.4-0.3-0.1-0.60.0-0.30.20.0-0.1-0.1
ELEMENTO N° 1
raz = 63399.773
raax = 440.276
rabx = rbax = 660.414
r11x = r22x = 1320.829
r12x = r21x = 660.414
0 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
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 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
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 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _12 ]=
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _12 ]=
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
440.28 0.00 660.410.00 63399.8 0.00
660.41 0.00 1320.83
ELEMENTO N° 4
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 0 -758.129
0.00 -758.1367928.3 0.00
0.00 1415.17
0.00 758.13
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
-67928.3 0.000.00 707.59
ELEMENTO N° 5
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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° 7
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
758.129758.1291.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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° 8
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
0 67928.328 0
-758.129 0 541.520
707.587 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
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 0 -683.994
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
0.00 0.00417.7 683.99
683.99 1493.39
0.00 0.00-417.7 -683.99683.99 746.69
ELEMENTO N° 11
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.00 0.00283.9 528.72
528.72 1312.98
0.00 0.00-283.9 -528.72
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
528.72 656.49
ELEMENTO N° 12
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 0 -683.994
0.00 0.00417.7 683.99
683.99 1493.39
0.00 0.00-417.7 -683.99683.99 746.69
ELEMENTO N° 13
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.00 0.00283.9 528.72
528.72 1312.98
0.00 0.00-283.9 -528.72528.72 656.49
ELEMENTO N° 14
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 0 -683.994
0.00 0.00417.7 683.99
683.99 1493.39
0.00 0.00-417.7 -683.99683.99 746.69
ELEMENTO N° 15
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.00 0.00283.9 528.72
528.72 1312.98
0.00 0.00-283.9 -528.72528.72 656.49
CÁLCULO 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 -0.000023Ɵ1x 0.000004U2y -0.000050Ɵ2x 0.000025U3y -0.000022Ɵ3x 0.000166U4y -0.000036Ɵ4x -0.000008U5y -0.000077Ɵ5x 0.000020U6y = -0.000035Ɵ6x 0.000132U7y -0.000040Ɵ7x -0.000020U8y -0.000086Ɵ8x 0.000002U9y -0.000039Ɵ9x 0.000085Uz1 -0.000253Uz2 -0.000512Uz3 -0.000662
CÁLCULO 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
VERIFICACIÓN DEL EQUILIBRIO
0.00 0.00000.58 0.60700.31
=0.3575
0.00 0.00000.58 0.5443
0.31 0.3734
0.00 0.00000.58 0.60070.31
=0.3448
0.00 0.00000.58 0.55060.31 0.3658
0.00 0.00000.27 0.27240.14
=0.1481
0.00 0.00000.27 0.25820.14 0.1648
∆tr ∆rr
-0.0002 cm -0.0040 cm -0.0009 cm
-0.0003 cm -0.0031 cm -0.0016 cm
-0.0003 cm -0.0015 cm -0.0015 cm
∆te
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A - COMBO 5
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
0.35154
3.725
0.655 R= 0.6550.406 M= 0.406
ELEMENTO N° 13
0.35154
3.725
0.655 R= 0.6550.406 M= 0.406
ELEMENTO N° 15
0.162
3.725
0.302 R= 0.3020.187 M= 0.187
-0.301725
-0.65474325
-0.65474325
63399.773
440.276
660.414
1320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
63399.773
440.276
660.414
1320.829
1320.8291320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
63399.773
440.276
660.414
1320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
0
758.129
707.587
0
-758.129
1415.174
-541.52 0.00 -758.130.00 -67928.3 0.00
758.13 0.00 707.59
541.52 0.00 758.13
0.00 67928.3 0.00758.13 0.00 1415.17
0
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
683.994
746.693
0
-683.994
1493.386
-49779.54 0.00 0.000.00 -417.7 683.990.00 -683.99 746.69
49779.54 0.00 0.000.00 417.7 -683.990.00 -683.99 1493.39
0
528.716
656.489
0
-528.716
1312.977
-43765.90 0.00 0.000.00 -283.9 528.720.00 -528.72 656.49
43765.90 0.00 0.000.00 283.9 -528.72
0.00 -528.72 1312.98
0
683.994
746.693
0
-683.994
1493.386
-49779.54 0.00 0.000.00 -417.7 683.990.00 -683.99 746.69
49779.54 0.00 0.000.00 417.7 -683.990.00 -683.99 1493.39
0
528.716
656.489
0
-528.716
1312.977
-43765.90 0.00 0.000.00 -283.9 528.720.00 -528.72 656.49
43765.90 0.00 0.000.00 283.9 -528.720.00 -528.72 1312.98
0
683.994
746.693
0
-683.994
1493.386
-49779.54 0.00 0.000.00 -417.7 683.990.00 -683.99 746.69
49779.54 0.00 0.000.00 417.7 -683.990.00 -683.99 1493.39
0
528.716
656.489
0
-528.716
1312.977
-43765.90 0.00 0.000.00 -283.9 528.720.00 -528.72 656.49
43765.90 0.00 0.000.00 283.9 -528.720.00 -528.72 1312.98
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 -0.0003u1y 0.0000u1x 0.0000
F' =
F'ay 1.48
F' =
F'az -0.11F'ax -0.16F'1y -1.48F'1z 0.11F'1x -0.16
u =
ubz 0.0000
u' =
uby 0.0000ubx 0.0000u2z -0.0003u2y 0.0000u2x 0.0000
F' =
F'by 3.16F'bz -0.09F'bx -0.15F'2y -3.16F'2z 0.09F'2x -0.13
u =
ucz 0.0000
u' =
ucy 0.0000ucx 0.0000u3z -0.0003u3y 0.0000u3x 0.0002
F' =
F'cy 1.42F'cz 0.00F'cx -0.06F'3y -1.42
F' =F'3z 0.00F'3x 0.05
u =
u1z -0.0003
u' =
u1y 0.0000u1x 0.0000u4z -0.0005u4y 0.0000u4x 0.0000
F' =
F'1y 0.87F'1z -0.14F'1x -0.20F'4y -0.87F'4z 0.14F'4x -0.21
u =
u2z -0.0003
u' =
u2y 0.0000u2x 0.0000u5z -0.0005u5y -0.0001u5x 0.0000
F' =
F'2y 1.87F'2z -0.11F'2x -0.15F'5y -1.87F'5z 0.11F'5x -0.15
u =
u3z -0.0003
u' =
u3y 0.0000u3x 0.0002u6z -0.0005u6y 0.0000u6x 0.0001
F' =
F'3y 0.86F'3z 0.09F'3x 0.13F'6y -0.86F'6z -0.09F'6x 0.11
u =
u4z -0.0005
u' =
u4y 0.0000u4x 0.0000u7z -0.0007u7y 0.0000u7x 0.0000
F' =
F'4y 0.27F'4z -0.10F'4x -0.14F'7y -0.27F'7z 0.10F'7x -0.15
u =
u5z -0.0005
u' =
u5y -0.0001u5x 0.0000u8z -0.0007u8y -0.0001u8x 0.0000
F' =
F'5y 0.59F'5z -0.06F'5x -0.08F'8y -0.59F'8z 0.06F'8x -0.10
u =
u6z -0.0005
u' =
u6y 0.0000u6x 0.0001u9z -0.0007u9y 0.0000u9x 0.0001
F' =
F'6y 0.27F'6z 0.08F'6x 0.13F'9y -0.27F'9z -0.08F'9x 0.10
u =
u1z -0.0003
u' =
u1y 0.0000u1x 0.0000u2z -0.0003u2y 0.0000u2x 0.0000
F' =
F'1y 0.00F'1z 0.03F'1x 0.04F'2y 0.00F'2z -0.03F'2x 0.06
u =
u2z -0.0003
u' =
u2y 0.0000u2x 0.0000u3z -0.0003u3y 0.0000u3x 0.0002
F' =
F'2y 0.00F'2z 0.09F'2x 0.13F'3y 0.00F'3z -0.09F'3x 0.22
u =
u4z -0.0005
u' =
u4y 0.0000u4x 0.0000
u = u5z -0.0005 u' =u5y -0.0001u5x 0.0000
F' =
F'4y 0.00F'4z 0.03F'4x 0.03F'5y 0.00F'5z -0.03F'5x 0.05
u =
u5z -0.0005
u' =
u5y -0.0001u5x 0.0000u6z -0.0005u6y 0.0000u6x 0.0001
F' =
F'5y 0.00F'5z 0.07F'5x 0.09F'6y 0.00F'6z -0.07F'6x 0.16
u =
u7z -0.0007
u' =
u7y 0.0000u7x 0.0000u8z -0.0007u8y -0.0001u8x 0.0000
F' =
F'7y 0.00F'7z 0.01F'7x 0.00F'8y 0.00F'8z -0.01F'8x 0.02
u =
u8z -0.0007
u' =
u8y -0.0001u8x 0.0000u9z -0.0007u9y 0.0000u9x 0.0001
F' =
F'8y 0.00F'8z 0.03F'8x 0.03F'9y 0.00F'9z -0.03F'9x 0.09
ELEMENTO 11
F' =
0.00 0.000.09 0.650.13
+0.41
0.00 0.00-0.09 0.65
F' =
0.22 0.41
ELEMENTO 13
F' =
0.00 0.000.07 0.650.09
+0.41
0.00 0.00-0.07 0.650.16 0.41
ELEMENTO 15
F' =
0.00 0.000.03 0.300.03
+0.19
0.00 0.00-0.03 0.300.09 0.19
∆rr D
-0.0009 cm -0.00032
-0.0016 cm -0.00055
-0.0015 cm -0.00051
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 0.0003u'1x 0.0000
u'by 0.0000u'bz 0.0000u'bx 0.0000u'2y 0.0000u'2z 0.0003u'2x 0.0000
u'cy 0.0000u'cz 0.0000u'cx 0.0000u'3y 0.0000u'3z 0.0003u'3x 0.0002
u'1y 0.0000u'1z 0.0003u'1x 0.0000u'4y 0.0000u'4z 0.0005u'4x 0.0000
u'2y 0.0000u'2z 0.0003u'2x 0.0000u'5y -0.0001u'5z 0.0005u'5x 0.0000
u'3y 0.0000u'3z 0.0003u'3x 0.0002u'6y 0.0000u'6z 0.0005u'6x 0.0001
u'4y 0.0000u'4z 0.0005u'4x 0.0000u'7y 0.0000u'7z 0.0007u'7x 0.0000
u'5y -0.0001u'5z 0.0005u'5x 0.0000u'8y -0.0001u'8z 0.0007u'8x 0.0000
u'6y 0.0000u'6z 0.0005u'6x 0.0001u'9y 0.0000u'9z 0.0007u'9x 0.0001
u'1y -0.0003u'1z 0.0000u'1x 0.0000u'2y -0.0003u'2z 0.0000u'2x 0.0000
u'2y -0.0003u'2z 0.0000u'2x 0.0000u'3y -0.0003u'3z 0.0000u'3x 0.0002
u'4y -0.0005u'4z 0.0000u'4x 0.0000
u'5y -0.0005u'5z -0.0001u'5x 0.0000
u'5y -0.0005u'5z -0.0001u'5x 0.0000u'6y -0.0005u'6z 0.0000u'6x 0.0001
u'7y -0.0007u'7z 0.0000u'7x 0.0000u'8y -0.0007u'8z -0.0001u'8x 0.0000
u'8y -0.0007u'8z -0.0001u'8x 0.0000u'9y -0.0007u'9z 0.0000u'9x 0.0001
0.00000.7484
=0.53460.00000.5611
0.6271
0.00000.7232
=0.49700.00000.58630.5709
0.00000.3344
=0.22120.00000.26910.2751
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 4y4
0.0E+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 1y1
0.0E+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
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A
f'c= 210
E= 2173706.51
0.1762
0.1653
0.0864
3.275
A
1
4
714
12
10
7
4
1
U1zU1y
U2zU2y
U3zU3y
U4zU4y
U5z
U= U5y
U6zU6y
U7zU7y
U8zU8y
U9zU9y
DETERMINACIÓN DE FUERZAS DE FIJACIÓN Y MOMENTOS DE EMPOTRAMIENTO
ELEMENTO N° 10
10
3.275
R= 16.375M= 8.938
Ɵ1x
Ɵ2x
Ɵ3x
Ɵ4x
Ɵ5x
Ɵ6x
Ɵ7x
Ɵ8x
Ɵ9x
ELEMENTO N° 12
11
3.275
R= 18.013M= 9.832
ELEMENTO N° 14
20
3.275
R= 32.750M= 17.876
17.87604167
0.1761628435
-32.75
9.831822917
0.1652686683-18.0125
8.938020833
0.0864276316-16.375
ELEMENTO N° 1
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 2
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _11 ]=
[ 〖�^1 〗 _21 ]=
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 3
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _11 ]=
[ 〖�^1 〗 _21 ]=
[ 〖�^1 〗 _11 ]=
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 4
raz = 67928.328
raax = 541.520
rabx = rbax = 758.129
r11x = r22x = 1415.174
r12x = r21x = 707.587
67928.328 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
49779.540.000.00
-49779.540.000.00
ELEMENTO N° 11
raz = 43765.903
raax = 283.874
rabx = rbax = 528.716
r11x = r22x = 1312.977
r12x = r21x = 656.489
43765.903 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
43765.900.000.00
-43765.900.00
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
0.00
ELEMENTO N° 12
raz = 49779.538
raax = 417.706
rabx = rbax = 683.994
r11x = r22x = 1493.386
r12x = r21x = 746.693
49779.538 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
49779.540.000.00
-49779.540.000.00
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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
43765.900.000.00
-43765.900.000.00
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
49779.540.000.00
-49779.540.000.00
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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
43765.900.000.00
-43765.900.000.00
CÁLCULO 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
CÁLCULO DE DEFORMACIONES EN COORDENADAS LOCALES
ELEMENTO 1
Ɵ = 1.570796
T =
0 1-1 00 00 00 00 0
K' =
63399.8 0.0
Ɵ1x
Ɵ2x
Ɵ3x
Ɵ4x
Ɵ5x
Ɵ6x
Ɵ7x
Ɵ8x
Ɵ9x
K' =
0.0 440.30.0 660.4
-63399.8 0.00.0 -440.30.0 660.4
ELEMENTO 2
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
VERIFICACIÓN DEL EQUILIBRIO
ELEMENTO 10
F' =
0.00-1.23-2.65
+0.001.23
F' =
-1.36
ELEMENTO 12
F' =
0.00-0.70-1.03
+0.000.70-1.28
ELEMENTO 14
F' =
0.00-2.39-7.48
+0.002.39-0.36
N hn ∆re
3 2.80 cm 0.0007 cm
2 2.80 cm 0.0002 cm
1 3.00 cm 0.0003 cm
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A
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 3.725
B
2
5
814 15
12 13
1110
2
5
8
U1y 0.0000Ɵ1x 0.0000U2y 0.0000Ɵ2x 0.0000U3y 0.0000Ɵ3x 0.0000U4y 0.0000Ɵ4x 0.0000U5y 0.0000Ɵ5x F= 0.0000
= U6y 0.0000Ɵ6x 0.0000U7y 0.0000Ɵ7x 0.0000U8y 0.0000Ɵ8x 0.0000U9y 0.0000Ɵ9x 0.0000Uz1 0.0864Uz2 0.1653Uz3 0.1762
DETERMINACIÓN DE FUERZAS DE FIJACIÓN Y MOMENTOS DE EMPOTRAMIENTO
ELEMENTO N° 11
10
3.275
R= 16.375 R=M= 8.938 M=
ELEMENTO N° 13
11
3.275
R= 18.013 R=M= 9.832 M=
ELEMENTO N° 15
20
3.275
R= 32.750 R=M= 17.876 M=
6.313020833 11.56302083
-51.375
-4.043802083 13.875625
-40.3625
-2.625 11.56302083
-35
-16.4-8.9
-35.0-2.6
-18.611.6-18.0-9.8
-40.4F= -4.0
-22.413.9-32.8-17.9-51.46.3
-18.611.60.10.20.2
ELEMENTO N° 1
raz = 63399.773
raax = 440.276
rabx = rbax = 660.414
r11x = r22x = 1320.829
r12x = r21x = 660.414
0 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
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 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
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 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _12 ]=
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _12 ]=
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
440.28 0.00 660.410.00 63399.8 0.00
660.41 0.00 1320.83
ELEMENTO N° 4
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 0 -758.129
0.00 -758.1367928.3 0.00
0.00 1415.17
0.00 758.13
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
-67928.3 0.000.00 707.59
ELEMENTO N° 5
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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° 7
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
758.129758.1291.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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° 8
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
0 67928.328 0
-758.129 0 541.520
707.587 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
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 0 -683.994
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
0.00 0.00417.7 683.99
683.99 1493.39
0.00 0.00-417.7 -683.99683.99 746.69
ELEMENTO N° 11
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.00 0.00283.9 528.72
528.72 1312.98
0.00 0.00-283.9 -528.72
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
528.72 656.49
ELEMENTO N° 12
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 0 -683.994
0.00 0.00417.7 683.99
683.99 1493.39
0.00 0.00-417.7 -683.99683.99 746.69
ELEMENTO N° 13
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.00 0.00283.9 528.72
528.72 1312.98
0.00 0.00-283.9 -528.72528.72 656.49
ELEMENTO N° 14
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 0 -683.994
0.00 0.00417.7 683.99
683.99 1493.39
0.00 0.00-417.7 -683.99683.99 746.69
ELEMENTO N° 15
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.00 0.00283.9 528.72
528.72 1312.98
0.00 0.00-283.9 -528.72528.72 656.49
CÁLCULO 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 -0.000991Ɵ1x -0.002103U2y -0.002118Ɵ2x -0.000378U3y -0.000889Ɵ3x 0.002575U4y -0.001692Ɵ4x -0.000913U5y -0.003550Ɵ5x -0.001251U6y = -0.001457Ɵ6x 0.002719U7y -0.002139Ɵ7x -0.007195U8y -0.004374Ɵ8x 0.002331U9y -0.001698Ɵ9x 0.003335Uz1 0.000277Uz2 0.000184Uz3 0.000746
CÁLCULO 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
VERIFICACIÓN DEL EQUILIBRIO
0.00 0.000016.38 15.14928.94
=6.2868
0.00 0.000016.38 17.6008
8.94 7.5749
0.00 0.000018.01 17.30889.83
=8.8057
0.00 0.000018.01 18.71629.83 8.5533
0.00 0.000032.75 30.356917.88
=10.4009
0.00 0.000032.75 35.143117.88 17.5138
∆tr ∆rr
0.0006 cm 0.0045 cm 0.0034 cm
-0.0001 cm 0.0011 cm -0.0006 cm
0.0003 cm 0.0017 cm 0.0017 cm
∆te
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A
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
10
3.725
18.625 R= 18.62511.563 M= 11.563
ELEMENTO N° 13
12
3.725
22.350 R= 22.35013.876 M= 13.876
ELEMENTO N° 15
10
3.725
18.625 R= 18.62511.563 M= 11.563
-18.625
-22.35
-18.625
63399.773
440.276
660.414
1320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
63399.773
440.276
660.414
1320.829
1320.8291320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
63399.773
440.276
660.414
1320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
0
758.129
707.587
0
-758.129
1415.174
-541.52 0.00 -758.130.00 -67928.3 0.00
758.13 0.00 707.59
541.52 0.00 758.13
0.00 67928.3 0.00758.13 0.00 1415.17
0
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
683.994
746.693
0
-683.994
1493.386
-49779.54 0.00 0.000.00 -417.7 683.990.00 -683.99 746.69
49779.54 0.00 0.000.00 417.7 -683.990.00 -683.99 1493.39
0
528.716
656.489
0
-528.716
1312.977
-43765.90 0.00 0.000.00 -283.9 528.720.00 -528.72 656.49
43765.90 0.00 0.000.00 283.9 -528.72
0.00 -528.72 1312.98
0
683.994
746.693
0
-683.994
1493.386
-49779.54 0.00 0.000.00 -417.7 683.990.00 -683.99 746.69
49779.54 0.00 0.000.00 417.7 -683.990.00 -683.99 1493.39
0
528.716
656.489
0
-528.716
1312.977
-43765.90 0.00 0.000.00 -283.9 528.720.00 -528.72 656.49
43765.90 0.00 0.000.00 283.9 -528.720.00 -528.72 1312.98
0
683.994
746.693
0
-683.994
1493.386
-49779.54 0.00 0.000.00 -417.7 683.990.00 -683.99 746.69
49779.54 0.00 0.000.00 417.7 -683.990.00 -683.99 1493.39
0
528.716
656.489
0
-528.716
1312.977
-43765.90 0.00 0.000.00 -283.9 528.720.00 -528.72 656.49
43765.90 0.00 0.000.00 283.9 -528.720.00 -528.72 1312.98
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 0.0003u1y -0.0010u1x -0.0021
F' =
F'ay 62.81
F' =
F'az -1.27F'ax -1.21F'1y -62.81F'1z 1.27F'1x -2.59
u =
ubz 0.0000
u' =
uby 0.0000ubx 0.0000u2z 0.0003u2y -0.0021u2x -0.0004
F' =
F'by 134.29F'bz -0.13F'bx -0.07F'2y -134.29F'2z 0.13F'2x -0.32
u =
ucz 0.0000
u' =
ucy 0.0000ucx 0.0000u3z 0.0003u3y -0.0009u3x 0.0026
F' =
F'cy 56.37F'cz 1.82F'cx 1.88F'3y -56.37
F' =F'3z -1.82F'3x 3.58
u =
u1z 0.0003
u' =
u1y -0.0010u1x -0.0021u4z 0.0002u4y -0.0017u4x -0.0009
F' =
F'1y 47.67F'1z -2.34F'1x -3.69F'4y -47.67F'4z 2.34F'4x -2.85
u =
u2z 0.0003
u' =
u2y -0.0021u2x -0.0004u5z 0.0002u5y -0.0035u5x -0.0013
F' =
F'2y 97.25F'2z -1.28F'2x -1.49F'5y -97.25F'5z 1.28F'5x -2.11
u =
u3z 0.0003
u' =
u3y -0.0009u3x 0.0026u6z 0.0002u6y -0.0015u6x 0.0027
F' =
F'3y 38.56F'3z 3.96F'3x 5.50F'6y -38.56F'6z -3.96F'6x 5.60
u =
u4z 0.0002
u' =
u4y -0.0017u4x -0.0009u7z 0.0007u7y -0.0021u7x -0.0072
F' =
F'4y 30.36F'4z -5.84F'4x -5.96F'7y -30.36F'7z 5.84F'7x -10.40
u =
u5z 0.0002
u' =
u5y -0.0035u5x -0.0013u8z 0.0007u8y -0.0044u8x 0.0023
F' =
F'5y 56.00F'5z 1.12F'5x 0.31F'8y -56.00F'8z -1.12F'8x 2.84
u =
u6z 0.0002
u' =
u6y -0.0015u6x 0.0027u9z 0.0007u9y -0.0017u9x 0.0033
F' =
F'6y 16.39F'6z 4.89F'6x 6.63F'9y -16.39F'9z -4.89F'9x 7.07
u =
u1z 0.0003
u' =
u1y -0.0010u1x -0.0021u2z 0.0003u2y -0.0021u2x -0.0004
F' =
F'1y 0.00F'1z -1.23F'1x -2.65F'2y 0.00F'2z 1.23F'2x -1.36
u =
u2z 0.0003
u' =
u2y -0.0021u2x -0.0004u3z 0.0003u3y -0.0009u3x 0.0026
F' =
F'2y 0.00F'2z 0.81F'2x 0.54F'3y 0.00F'3z -0.81F'3x 2.48
u =
u4z 0.0002
u' =
u4y -0.0017u4x -0.0009
u = u5z 0.0002 u' =u5y -0.0035u5x -0.0013
F' =
F'4y 0.00F'4z -0.70F'4x -1.03F'5y 0.00F'5z 0.70F'5x -1.28
u =
u5z 0.0002
u' =
u5y -0.0035u5x -0.0013u6z 0.0002u6y -0.0015u6x 0.0027
F' =
F'5y 0.00F'5z 0.18F'5x -0.96F'6y 0.00F'6z -0.18F'6x 1.64
u =
u7z 0.0007
u' =
u7y -0.0021u7x -0.0072u8z 0.0007u8y -0.0044u8x 0.0023
F' =
F'7y 0.00F'7z -2.39F'7x -7.48F'8y 0.00F'8z 2.39F'8x -0.36
u =
u8z 0.0007
u' =
u8y -0.0044u8x 0.0023u9z 0.0007u9y -0.0017u9x 0.0033
F' =
F'8y 0.00F'8z 2.24F'8x 3.83F'9y 0.00F'9z -2.24F'9x 4.49
ELEMENTO 11
F' =
0.00 0.000.81 18.630.54
+11.56
0.00 0.00-0.81 18.63
F' =
2.48 11.56
ELEMENTO 13
F' =
0.00 0.000.18 22.35-0.96
+13.88
0.00 0.00-0.18 22.351.64 13.88
ELEMENTO 15
F' =
0.00 0.002.24 18.633.83
+11.56
0.00 0.00-2.24 18.634.49 11.56
∆rr D
0.0034 cm 0.00121
-0.0006 cm -0.00020
0.0017 cm 0.00055
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 -0.0010u'1z -0.0003u'1x -0.0021
u'by 0.0000u'bz 0.0000u'bx 0.0000u'2y -0.0021u'2z -0.0003u'2x -0.0004
u'cy 0.0000u'cz 0.0000u'cx 0.0000u'3y -0.0009u'3z -0.0003u'3x 0.0026
u'1y -0.0010u'1z -0.0003u'1x -0.0021u'4y -0.0017u'4z -0.0002u'4x -0.0009
u'2y -0.0021u'2z -0.0003u'2x -0.0004u'5y -0.0035u'5z -0.0002u'5x -0.0013
u'3y -0.0009u'3z -0.0003u'3x 0.0026u'6y -0.0015u'6z -0.0002u'6x 0.0027
u'4y -0.0017u'4z -0.0002u'4x -0.0009u'7y -0.0021u'7z -0.0007u'7x -0.0072
u'5y -0.0035u'5z -0.0002u'5x -0.0013u'8y -0.0044u'8z -0.0007u'8x 0.0023
u'6y -0.0015u'6z -0.0002u'6x 0.0027u'9y -0.0017u'9z -0.0007u'9x 0.0033
u'1y 0.0003u'1z -0.0010u'1x -0.0021u'2y 0.0003u'2z -0.0021u'2x -0.0004
u'2y 0.0003u'2z -0.0021u'2x -0.0004u'3y 0.0003u'3z -0.0009u'3x 0.0026
u'4y 0.0002u'4z -0.0017u'4x -0.0009
u'5y 0.0002u'5z -0.0035u'5x -0.0013
u'5y 0.0002u'5z -0.0035u'5x -0.0013u'6y 0.0002u'6z -0.0015u'6x 0.0027
u'7y 0.0007u'7z -0.0021u'7x -0.0072u'8y 0.0007u'8z -0.0044u'8x 0.0023
u'8y 0.0007u'8z -0.0044u'8x 0.0023u'9y 0.0007u'9z -0.0017u'9x 0.0033
0.000019.4376
=12.10740.000017.8124
14.0456
0.000022.5323
=12.91200.000022.167715.5181
0.000020.8608
=15.39780.000016.389216.0566
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 4y4
0.0E+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 1y1
0.0E+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
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A
f'c= 210
E= 2173706.51
0.0841
0.0789
0.0412
3.275
A
1
4
714
12
10
7
4
1
U1zU1y
U2zU2y
U3zU3y
U4zU4y
U5z
U= U5y
U6zU6y
U7zU7y
U8zU8y
U9zU9y
DETERMINACIÓN DE FUERZAS DE FIJACIÓN Y MOMENTOS DE EMPOTRAMIENTO
ELEMENTO N° 10
10
3.275
R= 16.375M= 8.938
Ɵ1x
Ɵ2x
Ɵ3x
Ɵ4x
Ɵ5x
Ɵ6x
Ɵ7x
Ɵ8x
Ɵ9x
ELEMENTO N° 12
11
3.275
R= 18.013M= 9.832
ELEMENTO N° 14
20
3.275
R= 32.750M= 17.876
17.87604167
0.0840777207
-32.75
9.831822917
0.0788782281-18.0125
8.938020833
0.0412495515-16.375
ELEMENTO N° 1
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 2
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _11 ]=
[ 〖�^1 〗 _21 ]=
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 3
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _11 ]=
[ 〖�^1 〗 _21 ]=
[ 〖�^1 〗 _11 ]=
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 4
raz = 67928.328
raax = 541.520
rabx = rbax = 758.129
r11x = r22x = 1415.174
r12x = r21x = 707.587
67928.328 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
49779.540.000.00
-49779.540.000.00
ELEMENTO N° 11
raz = 43765.903
raax = 283.874
rabx = rbax = 528.716
r11x = r22x = 1312.977
r12x = r21x = 656.489
43765.903 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
43765.900.000.00
-43765.900.00
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
0.00
ELEMENTO N° 12
raz = 49779.538
raax = 417.706
rabx = rbax = 683.994
r11x = r22x = 1493.386
r12x = r21x = 746.693
49779.538 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
49779.540.000.00
-49779.540.000.00
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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
43765.900.000.00
-43765.900.000.00
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
49779.540.000.00
-49779.540.000.00
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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
43765.900.000.00
-43765.900.000.00
CÁLCULO 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
CÁLCULO DE DEFORMACIONES EN COORDENADAS LOCALES
ELEMENTO 1
Ɵ = 1.570796
T =
0 1-1 00 00 00 00 0
K' =
63399.8 0.0
Ɵ1x
Ɵ2x
Ɵ3x
Ɵ4x
Ɵ5x
Ɵ6x
Ɵ7x
Ɵ8x
Ɵ9x
K' =
0.0 440.30.0 660.4
-63399.8 0.00.0 -440.30.0 660.4
ELEMENTO 2
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
VERIFICACIÓN DEL EQUILIBRIO
ELEMENTO 10
F' =
0.00-1.15-2.51
+0.001.15
F' =
-1.24
ELEMENTO 12
F' =
0.00-0.64-0.92
+0.000.64-1.19
ELEMENTO 14
F' =
0.00-2.37-7.43
+0.002.37-0.33
N hn ∆re
3 2.80 cm 0.0001 cm
2 2.80 cm -0.0004 cm
1 3.00 cm 0.0000 cm
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A
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 3.725
B
2
5
814 15
12 13
1110
2
5
8
U1y 0.0000Ɵ1x 0.0000U2y 0.0000Ɵ2x 0.0000U3y 0.0000Ɵ3x 0.0000U4y 0.0000Ɵ4x 0.0000U5y 0.0000Ɵ5x F= 0.0000
= U6y 0.0000Ɵ6x 0.0000U7y 0.0000Ɵ7x 0.0000U8y 0.0000Ɵ8x 0.0000U9y 0.0000Ɵ9x 0.0000Uz1 0.0412Uz2 0.0789Uz3 0.0841
DETERMINACIÓN DE FUERZAS DE FIJACIÓN Y MOMENTOS DE EMPOTRAMIENTO
ELEMENTO N° 11
10
3.275
R= 16.375 R=M= 8.938 M=
ELEMENTO N° 13
11
3.275
R= 18.013 R=M= 9.832 M=
ELEMENTO N° 15
20
3.275
R= 32.750 R=M= 17.876 M=
6.313020833 11.56302083
-51.375
-4.043802083 13.875625
-40.3625
-2.625 11.56302083
-35
-16.4-8.9
-35.0-2.6
-18.611.6-18.0-9.8
-40.4F= -4.0
-22.413.9-32.8-17.9-51.46.3
-18.611.60.00.10.1
ELEMENTO N° 1
raz = 63399.773
raax = 440.276
rabx = rbax = 660.414
r11x = r22x = 1320.829
r12x = r21x = 660.414
0 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
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 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
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 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _12 ]=
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _12 ]=
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
440.28 0.00 660.410.00 63399.8 0.00
660.41 0.00 1320.83
ELEMENTO N° 4
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 0 -758.129
0.00 -758.1367928.3 0.00
0.00 1415.17
0.00 758.13
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
-67928.3 0.000.00 707.59
ELEMENTO N° 5
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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° 7
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
758.129758.1291.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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° 8
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
0 67928.328 0
-758.129 0 541.520
707.587 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
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 0 -683.994
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
0.00 0.00417.7 683.99
683.99 1493.39
0.00 0.00-417.7 -683.99683.99 746.69
ELEMENTO N° 11
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.00 0.00283.9 528.72
528.72 1312.98
0.00 0.00-283.9 -528.72
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
528.72 656.49
ELEMENTO N° 12
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 0 -683.994
0.00 0.00417.7 683.99
683.99 1493.39
0.00 0.00-417.7 -683.99683.99 746.69
ELEMENTO N° 13
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.00 0.00283.9 528.72
528.72 1312.98
0.00 0.00-283.9 -528.72528.72 656.49
ELEMENTO N° 14
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 0 -683.994
0.00 0.00417.7 683.99
683.99 1493.39
0.00 0.00-417.7 -683.99683.99 746.69
ELEMENTO N° 15
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.00 0.00283.9 528.72
528.72 1312.98
0.00 0.00-283.9 -528.72528.72 656.49
CÁLCULO 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 -0.000993Ɵ1x -0.002029U2y -0.002118Ɵ2x -0.000332U3y -0.000887Ɵ3x 0.002652U4y -0.001696Ɵ4x -0.000860U5y -0.003549Ɵ5x -0.001214U6y = -0.001454Ɵ6x 0.002773U7y -0.002144Ɵ7x -0.007170U8y -0.004374Ɵ8x 0.002345U9y -0.001695Ɵ9x 0.003360Uz1 0.000010Uz2 -0.000352Uz3 0.000057
CÁLCULO 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
VERIFICACIÓN DEL EQUILIBRIO
0.00 0.000016.38 15.22938.94
=6.4284
0.00 0.000016.38 17.5207
8.94 7.6954
0.00 0.000018.01 17.36789.83
=8.9081
0.00 0.000018.01 18.65729.83 8.6442
0.00 0.000032.75 30.381617.88
=10.4453
0.00 0.000032.75 35.118417.88 17.5501
∆tr ∆rr
0.0004 cm 0.0003 cm 0.0025 cm
-0.0004 cm -0.0021 cm -0.0022 cm
0.0000 cm 0.0001 cm 0.0001 cm
∆te
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A
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
10
3.725
18.625 R= 18.62511.563 M= 11.563
ELEMENTO N° 13
12
3.725
22.350 R= 22.35013.876 M= 13.876
ELEMENTO N° 15
10
3.725
18.625 R= 18.62511.563 M= 11.563
-18.625
-22.35
-18.625
63399.773
440.276
660.414
1320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
63399.773
440.276
660.414
1320.829
1320.8291320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
63399.773
440.276
660.414
1320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
0
758.129
707.587
0
-758.129
1415.174
-541.52 0.00 -758.130.00 -67928.3 0.00
758.13 0.00 707.59
541.52 0.00 758.13
0.00 67928.3 0.00758.13 0.00 1415.17
0
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
683.994
746.693
0
-683.994
1493.386
-49779.54 0.00 0.000.00 -417.7 683.990.00 -683.99 746.69
49779.54 0.00 0.000.00 417.7 -683.990.00 -683.99 1493.39
0
528.716
656.489
0
-528.716
1312.977
-43765.90 0.00 0.000.00 -283.9 528.720.00 -528.72 656.49
43765.90 0.00 0.000.00 283.9 -528.72
0.00 -528.72 1312.98
0
683.994
746.693
0
-683.994
1493.386
-49779.54 0.00 0.000.00 -417.7 683.990.00 -683.99 746.69
49779.54 0.00 0.000.00 417.7 -683.990.00 -683.99 1493.39
0
528.716
656.489
0
-528.716
1312.977
-43765.90 0.00 0.000.00 -283.9 528.720.00 -528.72 656.49
43765.90 0.00 0.000.00 283.9 -528.720.00 -528.72 1312.98
0
683.994
746.693
0
-683.994
1493.386
-49779.54 0.00 0.000.00 -417.7 683.990.00 -683.99 746.69
49779.54 0.00 0.000.00 417.7 -683.990.00 -683.99 1493.39
0
528.716
656.489
0
-528.716
1312.977
-43765.90 0.00 0.000.00 -283.9 528.720.00 -528.72 656.49
43765.90 0.00 0.000.00 283.9 -528.720.00 -528.72 1312.98
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 -0.0010u1x -0.0020
F' =
F'ay 62.98
F' =
F'az -1.34F'ax -1.33F'1y -62.98F'1z 1.34F'1x -2.67
u =
ubz 0.0000
u' =
uby 0.0000ubx 0.0000u2z 0.0000u2y -0.0021u2x -0.0003
F' =
F'by 134.26F'bz -0.22F'bx -0.21F'2y -134.26F'2z 0.22F'2x -0.43
u =
ucz 0.0000
u' =
ucy 0.0000ucx 0.0000u3z 0.0000u3y -0.0009u3x 0.0027
F' =
F'cy 56.24F'cz 1.76F'cx 1.76F'3y -56.24
F' =F'3z -1.76F'3x 3.51
u =
u1z 0.0000
u' =
u1y -0.0010u1x -0.0020u4z -0.0004u4y -0.0017u4x -0.0009
F' =
F'1y 47.75F'1z -2.39F'1x -3.75F'4y -47.75F'4z 2.39F'4x -2.93
u =
u2z 0.0000
u' =
u2y -0.0021u2x -0.0003u5z -0.0004u5y -0.0035u5x -0.0012
F' =
F'2y 97.24F'2z -1.37F'2x -1.60F'5y -97.24F'5z 1.37F'5x -2.23
u =
u3z 0.0000
u' =
u3y -0.0009u3x 0.0027u6z -0.0004u6y -0.0015u6x 0.0028
F' =
F'3y 38.49F'3z 3.92F'3x 5.44F'6y -38.49F'6z -3.92F'6x 5.53
u =
u4z -0.0004
u' =
u4y -0.0017u4x -0.0009u7z 0.0001u7y -0.0021u7x -0.0072
F' =
F'4y 30.38F'4z -5.87F'4x -5.98F'7y -30.38F'7z 5.87F'7x -10.45
u =
u5z -0.0004
u' =
u5y -0.0035u5x -0.0012u8z 0.0001u8y -0.0044u8x 0.0023
F' =
F'5y 56.00F'5z 1.08F'5x 0.25F'8y -56.00F'8z -1.08F'8x 2.77
u =
u6z -0.0004
u' =
u6y -0.0015u6x 0.0028u9z 0.0001u9y -0.0017u9x 0.0034
F' =
F'6y 16.37F'6z 4.87F'6x 6.61F'9y -16.37F'9z -4.87F'9x 7.03
u =
u1z 0.0000
u' =
u1y -0.0010u1x -0.0020u2z 0.0000u2y -0.0021u2x -0.0003
F' =
F'1y 0.00F'1z -1.15F'1x -2.51F'2y 0.00F'2z 1.15F'2x -1.24
u =
u2z 0.0000
u' =
u2y -0.0021u2x -0.0003u3z 0.0000u3y -0.0009u3x 0.0027
F' =
F'2y 0.00F'2z 0.88F'2x 0.65F'3y 0.00F'3z -0.88F'3x 2.61
u =
u4z -0.0004
u' =
u4y -0.0017u4x -0.0009
u = u5z -0.0004 u' =u5y -0.0035u5x -0.0012
F' =
F'4y 0.00F'4z -0.64F'4x -0.92F'5y 0.00F'5z 0.64F'5x -1.19
u =
u5z -0.0004
u' =
u5y -0.0035u5x -0.0012u6z -0.0004u6y -0.0015u6x 0.0028
F' =
F'5y 0.00F'5z 0.23F'5x -0.88F'6y 0.00F'6z -0.23F'6x 1.74
u =
u7z 0.0001
u' =
u7y -0.0021u7x -0.0072u8z 0.0001u8y -0.0044u8x 0.0023
F' =
F'7y 0.00F'7z -2.37F'7x -7.43F'8y 0.00F'8z 2.37F'8x -0.33
u =
u8z 0.0001
u' =
u8y -0.0044u8x 0.0023u9z 0.0001u9y -0.0017u9x 0.0034
F' =
F'8y 0.00F'8z 2.26F'8x 3.87F'9y 0.00F'9z -2.26F'9x 4.54
ELEMENTO 11
F' =
0.00 0.000.88 18.630.65
+11.56
0.00 0.00-0.88 18.63
F' =
2.61 11.56
ELEMENTO 13
F' =
0.00 0.000.23 22.35-0.88
+13.88
0.00 0.00-0.23 22.351.74 13.88
ELEMENTO 15
F' =
0.00 0.002.26 18.633.87
+11.56
0.00 0.00-2.26 18.634.54 11.56
∆rr D
0.0025 cm 0.00088
-0.0022 cm -0.00077
0.0001 cm 0.00002
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 -0.0010u'1z 0.0000u'1x -0.0020
u'by 0.0000u'bz 0.0000u'bx 0.0000u'2y -0.0021u'2z 0.0000u'2x -0.0003
u'cy 0.0000u'cz 0.0000u'cx 0.0000u'3y -0.0009u'3z 0.0000u'3x 0.0027
u'1y -0.0010u'1z 0.0000u'1x -0.0020u'4y -0.0017u'4z 0.0004u'4x -0.0009
u'2y -0.0021u'2z 0.0000u'2x -0.0003u'5y -0.0035u'5z 0.0004u'5x -0.0012
u'3y -0.0009u'3z 0.0000u'3x 0.0027u'6y -0.0015u'6z 0.0004u'6x 0.0028
u'4y -0.0017u'4z 0.0004u'4x -0.0009u'7y -0.0021u'7z -0.0001u'7x -0.0072
u'5y -0.0035u'5z 0.0004u'5x -0.0012u'8y -0.0044u'8z -0.0001u'8x 0.0023
u'6y -0.0015u'6z 0.0004u'6x 0.0028u'9y -0.0017u'9z -0.0001u'9x 0.0034
u'1y 0.0000u'1z -0.0010u'1x -0.0020u'2y 0.0000u'2z -0.0021u'2x -0.0003
u'2y 0.0000u'2z -0.0021u'2x -0.0003u'3y 0.0000u'3z -0.0009u'3x 0.0027
u'4y -0.0004u'4z -0.0017u'4x -0.0009
u'5y -0.0004u'5z -0.0035u'5x -0.0012
u'5y -0.0004u'5z -0.0035u'5x -0.0012u'6y -0.0004u'6z -0.0015u'6x 0.0028
u'7y 0.0001u'7z -0.0021u'7x -0.0072u'8y 0.0001u'8z -0.0044u'8x 0.0023
u'8y 0.0001u'8z -0.0044u'8x 0.0023u'9y 0.0001u'9z -0.0017u'9x 0.0034
0.000019.5020
=12.21680.000017.7480
14.1760
0.000022.5797
=12.99470.000022.120315.6121
0.000020.8812
=15.43200.000016.368816.0984
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 4y4
0.0E+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 1y1
0.0E+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
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A
f'c= 210
E= 2173706.51
0.1762
0.1653
0.0864
3.275
A
1
4
714
12
10
7
4
1
U1zU1y
U2zU2y
U3zU3y
U4zU4y
U5z
U= U5y
U6zU6y
U7zU7y
U8zU8y
U9zU9y
DETERMINACIÓN DE FUERZAS DE FIJACIÓN Y MOMENTOS DE EMPOTRAMIENTO
ELEMENTO N° 10
10
3.275
R= 16.375M= 8.938
Ɵ1x
Ɵ2x
Ɵ3x
Ɵ4x
Ɵ5x
Ɵ6x
Ɵ7x
Ɵ8x
Ɵ9x
ELEMENTO N° 12
11
3.275
R= 18.013M= 9.832
ELEMENTO N° 14
20
3.275
R= 32.750M= 17.876
17.87604167
0.1761628435
-32.75
9.831822917
0.1652686683-18.0125
8.938020833
0.0864276316-16.375
ELEMENTO N° 1
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 2
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _11 ]=
[ 〖�^1 〗 _21 ]=
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 3
A = 63399.773B = 440.276Ɵ = 1.5707963268
COS Ɵ = 0SEN Ɵ = 1
0
1
C = 1320.829D = -660.414E = -660.414
63399.773 0
0 440.276
0 660.414
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _11 ]=
[ 〖�^1 〗 _21 ]=
[ 〖�^1 〗 _11 ]=
-63399.773 0
0 -440.276
0 660.414
COORDENADAS GLOBALES
ELEMENTO N° 4
raz = 67928.328
raax = 541.520
rabx = rbax = 758.129
r11x = r22x = 1415.174
r12x = r21x = 707.587
67928.328 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 541.520
0 758.129
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
-67928.328 0
0 -541.520
0 758.129
COORDENADAS GLOBALES
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
49779.540.000.00
-49779.540.000.00
ELEMENTO N° 11
raz = 43765.903
raax = 283.874
rabx = rbax = 528.716
r11x = r22x = 1312.977
r12x = r21x = 656.489
43765.903 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
43765.900.000.00
-43765.900.00
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
[ 〖�^3 〗 _11 ]=
[ 〖�^3 〗 _21 ]=
0.00
ELEMENTO N° 12
raz = 49779.538
raax = 417.706
rabx = rbax = 683.994
r11x = r22x = 1493.386
r12x = r21x = 746.693
49779.538 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
49779.540.000.00
-49779.540.000.00
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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
43765.900.000.00
-43765.900.000.00
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 0
0 417.706
0 683.994
-49779.538 0
0 -417.706
0 683.994
COORDENADAS GLOBALES
49779.540.000.00
-49779.540.000.00
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 0
0 283.874
0 528.716
-43765.903 0
0 -283.874
0 528.716
COORDENADAS GLOBALES
43765.900.000.00
-43765.900.000.00
CÁLCULO 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
CÁLCULO DE DEFORMACIONES EN COORDENADAS LOCALES
ELEMENTO 1
Ɵ = 1.570796
T =
0 1-1 00 00 00 00 0
K' =
63399.8 0.0
Ɵ1x
Ɵ2x
Ɵ3x
Ɵ4x
Ɵ5x
Ɵ6x
Ɵ7x
Ɵ8x
Ɵ9x
K' =
0.0 440.30.0 660.4
-63399.8 0.00.0 -440.30.0 660.4
ELEMENTO 2
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
Ɵ = 0.000000
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
VERIFICACIÓN DEL EQUILIBRIO
ELEMENTO 10
F' =
0.00-1.23-2.65
+0.001.23
F' =
-1.36
ELEMENTO 12
F' =
0.00-0.70-1.03
+0.000.70-1.28
ELEMENTO 14
F' =
0.00-2.39-7.48
+0.002.39-0.36
N hn ∆re
3 2.80 cm 0.0007 cm
2 2.80 cm 0.0002 cm
1 3.00 cm 0.0003 cm
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A
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 3.725
B
2
5
814 15
12 13
1110
2
5
8
U1y 0.0000Ɵ1x 0.0000U2y 0.0000Ɵ2x 0.0000U3y 0.0000Ɵ3x 0.0000U4y 0.0000Ɵ4x 0.0000U5y 0.0000Ɵ5x F= 0.0000
= U6y 0.0000Ɵ6x 0.0000U7y 0.0000Ɵ7x 0.0000U8y 0.0000Ɵ8x 0.0000U9y 0.0000Ɵ9x 0.0000Uz1 0.0864Uz2 0.1653Uz3 0.1762
DETERMINACIÓN DE FUERZAS DE FIJACIÓN Y MOMENTOS DE EMPOTRAMIENTO
ELEMENTO N° 11
10
3.275
R= 16.375 R=M= 8.938 M=
ELEMENTO N° 13
11
3.275
R= 18.013 R=M= 9.832 M=
ELEMENTO N° 15
20
3.275
R= 32.750 R=M= 17.876 M=
6.313020833 11.56302083
-51.375
-4.043802083 13.875625
-40.3625
-2.625 11.56302083
-35
-16.4-8.9
-35.0-2.6
-18.611.6-18.0-9.8
-40.4F= -4.0
-22.413.9-32.8-17.9-51.46.3
-18.611.60.10.20.2
ELEMENTO N° 1
raz = 63399.773
raax = 440.276
rabx = rbax = 660.414
r11x = r22x = 1320.829
r12x = r21x = 660.414
0 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
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 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
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 -63399.773 0
660.414 0 -440.276
1320.829 0 -660.414
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _12 ]=
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _12 ]=
0 63399.773 0
-660.414 0 440.276
660.414 0 -660.414
440.28 0.00 660.410.00 63399.8 0.00
660.41 0.00 1320.83
ELEMENTO N° 4
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 0 -758.129
0.00 -758.1367928.3 0.00
0.00 1415.17
0.00 758.13
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^1 〗 _22 ]=
[ 〖�^1 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
-67928.3 0.000.00 707.59
ELEMENTO N° 5
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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° 7
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
758.129758.1291.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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° 8
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
0 67928.328 0
-758.129 0 541.520
707.587 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
67928.328Ɵ = 1.5708
541.520COS Ɵ = 0.00SEN Ɵ = 1.00
758.1290.00
1.00
1415.174
707.587
0 -67928.328 0
758.129 0 -541.520
1415.174 0 -758.129
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
0 67928.328 0
-758.129 0 541.520
707.587 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
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 0 -683.994
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
0.00 0.00417.7 683.99
683.99 1493.39
0.00 0.00-417.7 -683.99683.99 746.69
ELEMENTO N° 11
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.00 0.00283.9 528.72
528.72 1312.98
0.00 0.00-283.9 -528.72
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
528.72 656.49
ELEMENTO N° 12
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 0 -683.994
0.00 0.00417.7 683.99
683.99 1493.39
0.00 0.00-417.7 -683.99683.99 746.69
ELEMENTO N° 13
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.00 0.00283.9 528.72
528.72 1312.98
0.00 0.00-283.9 -528.72528.72 656.49
ELEMENTO N° 14
49779.538Ɵ = 0.0000
417.706COS Ɵ = 1.00SEN Ɵ = 0.00
683.9941.00
0.00
COS2 Ɵ =
SEN2 Ɵ =
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
1493.386
746.693
0 -49779.538 0
683.994 0 -417.706
1493.386 0 -683.994
0 49779.538 0
-683.994 0 417.706
746.693 0 -683.994
0.00 0.00417.7 683.99
683.99 1493.39
0.00 0.00-417.7 -683.99683.99 746.69
ELEMENTO N° 15
43765.903Ɵ = 0.0000
283.874COS Ɵ = 1.00SEN Ɵ = 0.00
528.7161.00
0.00
1312.977
656.489
COS2 Ɵ =
SEN2 Ɵ =
[ 〖�^3 〗 _22 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _12 ]=
[ 〖�^3 〗 _22 ]=
0 -43765.903 0
528.716 0 -283.874
1312.977 0 -528.716
0 43765.903 0
-528.716 0 283.874
656.489 0 -528.716
0.00 0.00283.9 528.72
528.72 1312.98
0.00 0.00-283.9 -528.72528.72 656.49
CÁLCULO 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 -0.000991Ɵ1x -0.002103U2y -0.002118Ɵ2x -0.000378U3y -0.000889Ɵ3x 0.002575U4y -0.001692Ɵ4x -0.000913U5y -0.003550Ɵ5x -0.001251U6y = -0.001457Ɵ6x 0.002719U7y -0.002139Ɵ7x -0.007195U8y -0.004374Ɵ8x 0.002331U9y -0.001698Ɵ9x 0.003335Uz1 0.000277Uz2 0.000184Uz3 0.000746
CÁLCULO 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
VERIFICACIÓN DEL EQUILIBRIO
0.00 0.000016.38 15.14928.94
=6.2868
0.00 0.000016.38 17.6008
8.94 7.5749
0.00 0.000018.01 17.30889.83
=8.8057
0.00 0.000018.01 18.71629.83 8.5533
0.00 0.000032.75 30.356917.88
=10.4009
0.00 0.000032.75 35.143117.88 17.5138
∆tr ∆rr
0.0006 cm 0.0045 cm 0.0034 cm
-0.0001 cm 0.0011 cm -0.0006 cm
0.0003 cm 0.0017 cm 0.0017 cm
∆te
ANÁLISIS MÉTODO MATRICIAL - PÓRTICO A-A
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
10
3.725
18.625 R= 18.62511.563 M= 11.563
ELEMENTO N° 13
12
3.725
22.350 R= 22.35013.876 M= 13.876
ELEMENTO N° 15
10
3.725
18.625 R= 18.62511.563 M= 11.563
-18.625
-22.35
-18.625
63399.773
440.276
660.414
1320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
63399.773
440.276
660.414
1320.829
1320.8291320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
63399.773
440.276
660.414
1320.829
660.414
0
660.414
660.414
0
-660.414
1320.829
0
758.129
707.587
0
-758.129
1415.174
-541.52 0.00 -758.130.00 -67928.3 0.00
758.13 0.00 707.59
541.52 0.00 758.13
0.00 67928.3 0.00758.13 0.00 1415.17
0
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
758.129
707.587
0
-758.129
1415.174
-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
683.994
746.693
0
-683.994
1493.386
-49779.54 0.00 0.000.00 -417.7 683.990.00 -683.99 746.69
49779.54 0.00 0.000.00 417.7 -683.990.00 -683.99 1493.39
0
528.716
656.489
0
-528.716
1312.977
-43765.90 0.00 0.000.00 -283.9 528.720.00 -528.72 656.49
43765.90 0.00 0.000.00 283.9 -528.72
0.00 -528.72 1312.98
0
683.994
746.693
0
-683.994
1493.386
-49779.54 0.00 0.000.00 -417.7 683.990.00 -683.99 746.69
49779.54 0.00 0.000.00 417.7 -683.990.00 -683.99 1493.39
0
528.716
656.489
0
-528.716
1312.977
-43765.90 0.00 0.000.00 -283.9 528.720.00 -528.72 656.49
43765.90 0.00 0.000.00 283.9 -528.720.00 -528.72 1312.98
0
683.994
746.693
0
-683.994
1493.386
-49779.54 0.00 0.000.00 -417.7 683.990.00 -683.99 746.69
49779.54 0.00 0.000.00 417.7 -683.990.00 -683.99 1493.39
0
528.716
656.489
0
-528.716
1312.977
-43765.90 0.00 0.000.00 -283.9 528.720.00 -528.72 656.49
43765.90 0.00 0.000.00 283.9 -528.720.00 -528.72 1312.98
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 0.0003u1y -0.0010u1x -0.0021
F' =
F'ay 62.81
F' =
F'az -1.27F'ax -1.21F'1y -62.81F'1z 1.27F'1x -2.59
u =
ubz 0.0000
u' =
uby 0.0000ubx 0.0000u2z 0.0003u2y -0.0021u2x -0.0004
F' =
F'by 134.29F'bz -0.13F'bx -0.07F'2y -134.29F'2z 0.13F'2x -0.32
u =
ucz 0.0000
u' =
ucy 0.0000ucx 0.0000u3z 0.0003u3y -0.0009u3x 0.0026
F' =
F'cy 56.37F'cz 1.82F'cx 1.88F'3y -56.37
F' =F'3z -1.82F'3x 3.58
u =
u1z 0.0003
u' =
u1y -0.0010u1x -0.0021u4z 0.0002u4y -0.0017u4x -0.0009
F' =
F'1y 47.67F'1z -2.34F'1x -3.69F'4y -47.67F'4z 2.34F'4x -2.85
u =
u2z 0.0003
u' =
u2y -0.0021u2x -0.0004u5z 0.0002u5y -0.0035u5x -0.0013
F' =
F'2y 97.25F'2z -1.28F'2x -1.49F'5y -97.25F'5z 1.28F'5x -2.11
u =
u3z 0.0003
u' =
u3y -0.0009u3x 0.0026u6z 0.0002u6y -0.0015u6x 0.0027
F' =
F'3y 38.56F'3z 3.96F'3x 5.50F'6y -38.56F'6z -3.96F'6x 5.60
u =
u4z 0.0002
u' =
u4y -0.0017u4x -0.0009u7z 0.0007u7y -0.0021u7x -0.0072
F' =
F'4y 30.36F'4z -5.84F'4x -5.96F'7y -30.36F'7z 5.84F'7x -10.40
u =
u5z 0.0002
u' =
u5y -0.0035u5x -0.0013u8z 0.0007u8y -0.0044u8x 0.0023
F' =
F'5y 56.00F'5z 1.12F'5x 0.31F'8y -56.00F'8z -1.12F'8x 2.84
u =
u6z 0.0002
u' =
u6y -0.0015u6x 0.0027u9z 0.0007u9y -0.0017u9x 0.0033
F' =
F'6y 16.39F'6z 4.89F'6x 6.63F'9y -16.39F'9z -4.89F'9x 7.07
u =
u1z 0.0003
u' =
u1y -0.0010u1x -0.0021u2z 0.0003u2y -0.0021u2x -0.0004
F' =
F'1y 0.00F'1z -1.23F'1x -2.65F'2y 0.00F'2z 1.23F'2x -1.36
u =
u2z 0.0003
u' =
u2y -0.0021u2x -0.0004u3z 0.0003u3y -0.0009u3x 0.0026
F' =
F'2y 0.00F'2z 0.81F'2x 0.54F'3y 0.00F'3z -0.81F'3x 2.48
u =
u4z 0.0002
u' =
u4y -0.0017u4x -0.0009
u = u5z 0.0002 u' =u5y -0.0035u5x -0.0013
F' =
F'4y 0.00F'4z -0.70F'4x -1.03F'5y 0.00F'5z 0.70F'5x -1.28
u =
u5z 0.0002
u' =
u5y -0.0035u5x -0.0013u6z 0.0002u6y -0.0015u6x 0.0027
F' =
F'5y 0.00F'5z 0.18F'5x -0.96F'6y 0.00F'6z -0.18F'6x 1.64
u =
u7z 0.0007
u' =
u7y -0.0021u7x -0.0072u8z 0.0007u8y -0.0044u8x 0.0023
F' =
F'7y 0.00F'7z -2.39F'7x -7.48F'8y 0.00F'8z 2.39F'8x -0.36
u =
u8z 0.0007
u' =
u8y -0.0044u8x 0.0023u9z 0.0007u9y -0.0017u9x 0.0033
F' =
F'8y 0.00F'8z 2.24F'8x 3.83F'9y 0.00F'9z -2.24F'9x 4.49
ELEMENTO 11
F' =
0.00 0.000.81 18.630.54
+11.56
0.00 0.00-0.81 18.63
F' =
2.48 11.56
ELEMENTO 13
F' =
0.00 0.000.18 22.35-0.96
+13.88
0.00 0.00-0.18 22.351.64 13.88
ELEMENTO 15
F' =
0.00 0.002.24 18.633.83
+11.56
0.00 0.00-2.24 18.634.49 11.56
∆rr D
0.0034 cm 0.00121
-0.0006 cm -0.00020
0.0017 cm 0.00055
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 -0.0010u'1z -0.0003u'1x -0.0021
u'by 0.0000u'bz 0.0000u'bx 0.0000u'2y -0.0021u'2z -0.0003u'2x -0.0004
u'cy 0.0000u'cz 0.0000u'cx 0.0000u'3y -0.0009u'3z -0.0003u'3x 0.0026
u'1y -0.0010u'1z -0.0003u'1x -0.0021u'4y -0.0017u'4z -0.0002u'4x -0.0009
u'2y -0.0021u'2z -0.0003u'2x -0.0004u'5y -0.0035u'5z -0.0002u'5x -0.0013
u'3y -0.0009u'3z -0.0003u'3x 0.0026u'6y -0.0015u'6z -0.0002u'6x 0.0027
u'4y -0.0017u'4z -0.0002u'4x -0.0009u'7y -0.0021u'7z -0.0007u'7x -0.0072
u'5y -0.0035u'5z -0.0002u'5x -0.0013u'8y -0.0044u'8z -0.0007u'8x 0.0023
u'6y -0.0015u'6z -0.0002u'6x 0.0027u'9y -0.0017u'9z -0.0007u'9x 0.0033
u'1y 0.0003u'1z -0.0010u'1x -0.0021u'2y 0.0003u'2z -0.0021u'2x -0.0004
u'2y 0.0003u'2z -0.0021u'2x -0.0004u'3y 0.0003u'3z -0.0009u'3x 0.0026
u'4y 0.0002u'4z -0.0017u'4x -0.0009
u'5y 0.0002u'5z -0.0035u'5x -0.0013
u'5y 0.0002u'5z -0.0035u'5x -0.0013u'6y 0.0002u'6z -0.0015u'6x 0.0027
u'7y 0.0007u'7z -0.0021u'7x -0.0072u'8y 0.0007u'8z -0.0044u'8x 0.0023
u'8y 0.0007u'8z -0.0044u'8x 0.0023u'9y 0.0007u'9z -0.0017u'9x 0.0033
0.000019.4376
=12.10740.000017.8124
14.0456
0.000022.5323
=12.91200.000022.167715.5181
0.000020.8608
=15.39780.000016.389216.0566
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 4y4
0.0E+00 7.6E+02 4x8.3E-12 -4.1E-12 5y
50.0E+00 7.6E+02 5x8.3E-12 -4.1E-12 6y
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