vigas
Pesos w1 w2 w3 w4 w5 w6 w7 w8 w9 w10 w11 w12 w13 w14 w15 w16 w17 w18 w V.E.6 (A'-A) V.E.6 (A-B) V.E.6 (B-C) V.E.5 (A'-A) V.E.5 (A-B) V.E.5 (B-C) V.E.4 (A'-A) V.E.4 (A-B) V.E.4 (B-C) V.E. 4 (C-C') V.E.3 (A'-A) V.E.3 (A-B) V.E.3 (B-C) V.E. 3 (C-C') V.E.2 (A-B) V.E.2 (B-C) V.E.1 (A-B) V.E.1 (B-C) A B
PPD 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 rc 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24
Ancho interno 8.3 1.275 1.275 1.275 1.275 8.3 8.3 8.3 8.3 8.3 10.5 10.5 10.5 10.5 10.5 10.5 1.275 1.275 Ancho interno 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35
Largo Interno 1.275 1.275 5.5 5.33 6.1 5.5 5.33 6.1 5.28 5.55 5.5 5.33 6.1 5.28 5.55 1.275 2.275 6.1 Largo Interno espesor 1.275 0.5 8.3 0.5 10.5 0.5 1.275 0.5 8.3 0.5 10.5 0.5 1.275 0.5 8.3 0.5 10.5 0.5 1.275 0.5 1.275 0.5 8.3 0.5 10.5 0.5 1.275 0.5 8.3 0.5 10.5 0.5 8.3 0.5 10.5 0.5 30.785 0.5 21.41 0.5
Wkn 47.62 7.32 31.56 30.58 35.00 205.43 199.08 227.84 197.21 207.29 259.88 251.84 288.23 249.48 262.24 60.24 13.05 35.00 10.71 69.72 88.20 10.71 69.72 88.20 10.71 69.72 88.20 10.71 10.71 69.72 88.20 10.71 69.72 88.20 69.72 88.20 258.59 179.84
X 5.775 0.6375 0.6375 0.6375 0.6375 5.775 5.775 5.775 5.775 5.775 15.525 15.525 15.525 15.525 15.525 15.525 21.7625 21.7625 X 0.6375 5.775 15.525 0.6375 5.775 15.525 0.6375 5.775 15.525 21.7625 0.6375 5.775 15.525 21.7625 5.775 15.525 5.775 15.525 15.3925 10.705
C
24
0.35
30.785
0.5
258.59 4317.68
15.3925
CENTRO DE GRAVEDAD CUBIERTA
Y 31.7725 31.7725 28.035 22.27 16.205 28.035 22.27 16.205 10.165 4.4 28.035 22.27 16.205 20.165 4.4 0.6375 20.7425 16.205 Y 1.4 1.4 7.99 7.99 12.79 12.79 12.79 21.87 18.65 18.65 18.65 21.87 24.96 24.96 24.96 30.85 30.85 30.85 16.13 16.13
WX 275.01 4.66 20.12 19.50 22.31 1186.33 1149.66 1315.75 1138.88 1197.11 4034.56 3909.85 4474.69 3873.18 4071.24 935.28 284.06 761.66
WX 1513.05 232.43 884.68 681.04 567.15 5759.09 4433.41 3692.07 2004.62 912.09 7285.60 5608.53 4670.69 5030.76 1153.85 38.41 270.75 567.15
6.83 402.63 1369.31 6.83 402.63 1369.31 6.83 402.63 1369.31 233.08 6.83 402.63 1369.31 233.08 402.63 1369.31 402.63 1369.31 3980.41 1925.23
14.99 97.61 704.72 85.57 891.72 1128.08 136.98 1524.78 1644.93 199.74 199.74 1524.78 2201.47 267.32 1740.21 2720.97 2150.86 2720.97 4171.12 2900.88
15.28
X Y
3980.41 49684.99
11.5073471 17.6678649
3951.32 76284.11
Peso Propio D
vigas
Pesos w1 w2 w3 w4 w5 w6 w7 w8 w9 w10 w11 w12 w13 w14 w15 w16 w17 w18 w19 w V.E.6 (A'-A) V.E.6 (A-B) V.E.6 (B-C) V.E.5 (A'-A) V.E.5 (A-B) V.E.5 (B-C) V.E.4 (A'-A) V.E.4 (A-B) V.E.4 (B-C) V.E. 4 (C-C') V.E.3 (A'-A) V.E.3 (A-B) V.E.3 (B-C) V.E. 3 (C-C') V.E.2 (A-B) V.E.2 (B-C) V.E.1 (A-B) V.E.1 (B-C) A
PPD 10.66 10.66 10.66 10.66 10.66 10.66 10.66 10.66 10.66 10.66 10.66 10.66 10.66 10.66 10.66 10.66 10.66 10.66 10.66 rc 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24
Ancho interno 8.3 1.275 1.275 1.275 1.275 8.3 8.3 8.3 8.3 8.3 10.5 10.5 10.5 10.5 10.5 10.5 1.275 1.275 2.45 Ancho interno 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.35
Largo Interno 1.275 1.275 5.5 5.33 6.1 5.5 5.33 6.1 5.28 5.55 5.5 5.33 6.1 5.28 5.55 1.275 2.275 6.1 3.81 Largo Interno 1.275 8.3 10.5 1.275 8.3 10.5 1.275 8.3 10.5 1.275 1.275 8.3 10.5 1.275 8.3 10.5 8.3 10.5 30.785
B C
24 24
0.35 0.35
21.41 30.785
suma wtotal anterior+ w columna
Cvx1
25707.07312
0.127
49807.45417
0.246
73907.83522
0.366
52675.64415
0.261
∑ Cvx2 ∑ Cvx3 ∑ Cvx4 ∑ sumatoria
∑
1.00
202098.01
Rigidez R1
151547
R2
112056
R3
101924
R4
93722
Rigidez EN EL EJE Y
R1
186958
R2
97262
R3
84638
R4
86354 0.083 CENTROS DE RIGIDEZ EJE X CRx
10.83
CRy
16.21
NIVEL PISO1 PISO2 PISO3 PISO CUBIERTA
FX 4008.60 7764.69 11552.34 8238.15 31563.78
CORTANTE VPISO 4008.60 11773.29 23325.63 31563.78
DERIVA PORTICO DE EJE X
PISO1 PISO2 PISO3 CUBIERTA
SAP 0.01910 0.04510 0.07310 0.10240
DESPLAZAMIENTO 0.0191 0.0260 0.0280 0.0293
DERIVA 0.006 0.009 0.009 0.010
Largo Interno 1.275 1.275 5.5 5.33 6.1 5.5 5.33 6.1 5.28 5.55 5.5 5.33 6.1 5.28 5.55 1.275 2.275 6.1 3.81 espesor
Wkn 112.81 17.33 74.75 72.44 82.91 486.63 471.59 539.72 467.16 491.05 615.62 596.59 682.77 590.99 621.21 142.71 30.92 82.91 99.51 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.8 0.55
12.24 79.68 100.80 12.24 79.68 100.80 12.24 79.68 100.80 12.24 12.24 79.68 100.80 12.24 79.68 100.80 79.68 100.80 258.59
X 5.775 0.6375 0.6375 0.6375 0.6375 5.775 5.775 5.775 5.775 5.775 15.525 15.525 15.525 15.525 15.525 15.525 21.7625 21.7625 15.55 X 0.6375 5.775 15.525 0.6375 5.775 15.525 0.6375 5.775 15.525 21.7625 0.6375 5.775 15.525 21.7625 5.775 15.525 5.775 15.525 15.3925
Y
WX 31.7725 31.7725 28.035 22.27 16.205 28.035 22.27 16.205 10.165 4.4 28.035 22.27 16.205 20.165 4.4 0.6375 20.7425 16.205 28.88
651.47 11.05 47.66 46.18 52.85 2810.28 2723.42 3116.86 2697.87 2835.83 9557.42 9262.01 10600.05 9175.13 9644.31 2215.58 672.91 1804.29 1547.31
WX 3584.24 550.59 2095.71 1613.30 1343.53 13642.64 10502.26 8746.09 4748.72 2160.63 17258.77 13285.99 11064.34 11917.32 2733.33 90.98 641.37 1343.53 2873.73
1.4 1.4 7.99 7.99 12.79 12.79 12.79 21.87 18.65 18.65 18.65 21.87 24.96 24.96 24.96 30.85 30.85 30.85 16.13
7.80 460.15 1564.92 7.80 460.15 1564.92 7.80 460.15 1564.92 266.37 7.80 460.15 1564.92 266.37 460.15 1564.92 460.15 1564.92 3980.41
17.14 111.55 805.39 97.80 1019.11 1289.23 156.55 1742.60 1879.92 228.28 228.28 1742.60 2515.97 305.51 1988.81 3109.68 2458.13 3109.68 4171.12
Y
0.55 0.55
179.84 258.59 8033.46
wkn total
31375.53 vs
10.705 15.3925
16.13 15.28
1925.23 3980.41 92072.93 x y
31375.53 31563.782
2900.88 3951.32 144026.60 11.4611794 17.9283393
Sa
1.006
FX1 0.127 4008.600314 Fx2 0.246 7764.690372
VALOR CAMBIA 31563.782
vs
Fx3 0.366 11552.34421 Fxcubierta 0.261 8238.147102
PISO1 PISO2 PISO3 CUBIERTA
FX 1336 2588 3851 2746
FY 668 1294 1925 1373
100.00%
FUERZAS CARGA PORTICOS PISO1 PISO2 PISO3 PISO4
1336 2588.230124 3850.781404 2746.049034
FUERZAS CARGA PORTICOS
DESPLAZAMIENTOS SEN DPISO1 DPISO2 DPISO3 CUBIERTA
DESPLAZAMIENTOS SENTID
PISO1 PISO2 PISO3 PISO4
668 1294 1925 1373
DPISO1 DPISO2 DPISO3 CUBIERTA
CENTROS DE GRAVEDAD entrepiso cubierta 11.46 11.51
CGx CGy
17.93
17.67
FPISO PORTICOS PARA EJE X FPISO1 PORTICO X FPISO2 PORTICO X FPISO3 PORTICO X FCUBIERTA PORTICO X
SECCION
1336 2588 3851 2746
1.7*0.9
DERIVA PORTICO PRUEBA 0.60 0.87 0.93 0.98
PISO1 PISO2 PISO3 CUBIERTA
SAP 0.00750 0.02210 0.03870 0.05460
h1 h2 h3 h4 cubierta
3.2 3 3 3
DESPLAZAMIENTOS SENTIDO X 0.0191 0.0260 0.0280 0.0293
DESPLAZAMIENTOS SENTIDO LETRAS
3.2 6.2 9.2 12.2
0.0075 0.0146 0.0166 0.0159
D
FPISO PORTICOS PARA EJE Y FPISO1 PORTICO Y FPISO2 PORTICO Y FPISO3 PORTICO Y FCUBIERTA PORTICO Y
DERIVA PORTICO DE EJE Y DESPLAZAMIENTODERIVA 0.0075 0.002 0.0146 0.005 0.0166 0.006 0.0159 0.005
PRUEBA 0.23 0.49 0.55 0.53
668 1294 1925 1373
#Columnas 18
distancia aferente seccion columna Piso 1 2.5 0.7 Piso 2 2.2 1.2 Piso 3 2.275 Piso 4 1.1750
Peso Entrepiso 1 Placa Y viga 1er piso Piso 1 Peso Entrepiso 2 Placa Y viga 2do piso Piso 2 Peso Entrepiso 3 Placa Y viga 3er piso Piso 3 Peso Cubierta Placa Y viga Cubierta Piso 4 cubierta Total Peso
Total Kn 8940.66 8033.46 907.2 8831.80 8033.46 798.336 8859.01 8033.46 825.552 4744.06 4317.68 426.384 31375.53
rc 24
I9
PERIODO DE LA ESTRUCTURA SISMO ACTUANDO PARALELO AL EJE X PISO 1piso 2piso 3piso cubierta total sumatoria
Ta
W 8033.5 8033.5 8033.5 4317.7 24100.4
M 803.3 803.3 803.3 431.8 2410.0
0.45
T
0.51
Cu
1.102
Tmax
0.4959
NOTA
D 0.0191 0.0260 0.0280 0.0293 0.0731
FXP 2746.0 3850.8 2588.2 1336.2 9185.1
AV
0.3
M*D2 0.29 0.54 0.63 0.37 1.47
FV
SE ESCOGE ESTE
SI T es menor que Tmax entonces se es coge el valor de T; en caso contrario tomar el valor de Tmax
PUNTO DE APLICACIÓN DE LA CORTANTE EN X PISO 1 2 3 CUBIERTAS ∑
Fxpiso 1336.2 2588.2 3850.8 2746.0 10521.3
Vx 1336.2 3924.4 7775.2 10521.3
XCg 11.5 11.5 11.5 11.5
Fx*XCg acumFx*XCg 15376.1 15376.1 29664.2 45040.3 44134.5 89174.8 31473.0 120647.7 120647.7
xcort 11.5073 11.4769 11.4691 11.4670
PUNTO DE APLICACIÓN DE LA CORTANTE EN Y PISO 1 2
Fxpiso 668.1 1294.1
Vx 1336.2 3924.4
YCg 17.9 17.7
Fx*YCg acumFx*YCg 11977.9 11977.9 22864.3 34842.2
Ycort 8.96 8.88
3 CUBIERTA ∑
1925.4 1373.0 5260.6
cubierta Xc Yc
7775.2 10521.3
17.7 17.7
34017.5 24258.4 93118.1
68859.7 93118.1
EXCENTRICIDAD 3piso 2piso 1 piso 0.674 0.644 0.644 0.644 -7.25 -7.34 -7.36 -7.36
Xc Yc
MOMENTOS TORSORES DIRECTOS cubierta 3piso 2piso 1 piso -9686.333 -28785.921 -57202.381 -77466.577 900.62 2525.63 5003.86 6771.12
Xc Yc
MOMENTOS ACCIDENTAL cubierta 3piso 2piso 1 piso 2165.312 2097.113 12599.730 17049.703 1496.54 4395.36 8708.24 11783.81
8.86 8.85
PERIODO DE LA ESTRUCTURA SISMO ACTUANDO PARALELO AL EJE Y FXP*D 52.45 100.12 72.47 39.15 225.04
1.8
PISO 1 piso 2 piso 3piso Cubierta total sumatoria
Ta
W 8033.5 8033.5 8033.5 4317.7 24100.4
0.54
Cu
1.102
Tmax
0.4959
D 0.0075 0.0146 0.0166 0.0159 0.0546
AV
0.45
T
NOTA
M 803.3 803.3 803.3 431.8 2410.0
SE ESCOGE ESTE
SI T es menor que Tmax entonces se es coge el valor de T; en caso contrario tomar el valor de Tmax
Xc Yc
EXCENTRICIDAD ACCIDENTAL cubierta 3piso 2piso 1 piso 1.120 1.120 1.120 1.120 1.62 1.62 1.62 1.62
Xc Yc
MOMENTOS TORSORES DE DISEÑO cubierta 3piso 2piso 1 piso -7521.021 -26688.807 -44602.650 -60416.874 2397.161 6920.989 13712.094 18554.931
A ESTRUCTURA
O PARALELO AL EJE Y FXP 1373.0 1925.4 1294.1 668.1 9185.1
0.3
M*D2 0.05 0.17 0.22 0.11 0.44
FV
FXP*D 10.30 28.11 21.48 10.62 59.89
1.8
CUBIERTA DIRECCION Y CORTANTE Vy EJE 1 2 3 4 5 6 sumatoria
Ry 86354 86354 86354 86354 86354 86354 518122
XT 7.83 2.83 -2.67 -1.45 -1.56 1
Ry*XT 676149.809 244381.093 -230564.49 -125212.93 -134711.84 86353.7432
(Ry*XT)^2 457178564637 59722118751 53159986061 15678277251 18147279676 7456968966 611343195342
DIRECTO 197.722899 197.722899 197.722899 197.722899 197.722899 197.722899 1186.33739
DIRECCION X CORTANTE Vx EJE A B C sumatoria
Rx 93722 93722 93722 281165
YT 3.4 4.5 -3.4
Rx*yT (Rx*YT)^2 DIRECTO 318654.154 101540469935 372.524384 421748.145 177871497940 372.524384 -318654.15 101540469935 372.524384 380952437811 1117.57315
TERCER PISO DIRECCION Y CORTANTE Vy EJE 1 2 3 4 5 6 sumatoria
Ry 84638 84638 84638 84638 84638 84638 507826
XT 7.83 2.83 -2.67 -1.45 -1.56 1
Ry*XT 662713.277 239524.722 -225982.69 -122724.68 -132034.83 84637.711
(Ry*XT)^2 439188887718 57372092516 51068175446.8 15061347315 17433196113 7163542123.86 587287241232
DIRECTO 569.173696 569.173696 569.173696 569.173696 569.173696 569.173696 3415.04218
DIRECCION X CORTANTE Vx
EJE A B C sumatoria
Rx 101924 101924 101924 305772
YT 3.4 4.5 -3.4
Rx*yT (Rx*YT)^2 DIRECTO 346541.468 120090989075 2357.38789 458657.825 210367000758 2357.38789 -346541.47 120090989075 2357.38789 450548978908 7072.16368
SEGUNDO PISO DIRECCION Y CORTANTE Vy EJE 1 2 3 4 5 6 sumatoria
Ry 97262 97262 97262 97262 97262 97262 583574
XT 7.83 2.83 -2.67 -1.45 -1.56 1
Ry*XT 761563.659 275252.255 -259690.29 -141030.31 -151729.16 97262.2809
(Ry*XT)^2 579979207402 75763803855 67439046723 19889547579 23021737450 9459951286.06 775553294295
DIRECTO 1295.86861 1295.86861 1295.86861 1295.86861 1295.86861 1295.86861 7775.21163
DIRECCION X CORTANTE Vx EJE A B C sumatoria
Rx 112056 112056 112056 336169
YT 3.4 4.5 -3.4
Rx*yT (Rx*YT)^2 DIRECTO 380991.359 145154415652 2591.73721 504253.269 254271359599 2591.73721 -380991.36 145154415652 2591.73721 544580190904 7775.21163
PRIMER PISO DIRECCION Y CORTANTE Vy EJE 1 2 3 4 5
Ry 186958 186958 186958 186958 186958
XT 7.83 2.83 -2.67 -1.45 -1.56
Ry*XT (Ry*XT)^2 DIRECTO 1463877.55 2142937479315 3370.66094 529089.842 279936061128 3370.66094 -499176.64 249177313511 3370.66094 -271088.44 73488939620 3370.66094 -291653.76 85061918411 3370.66094
6 sumatoria
186958 1121745
1
186957.541 34953122292 3370.66094 2865554834277 20223.9656
DIRECCION X CORTANTE Vx EJE A B C sumatoria
Rx 151547 151547 151547 454642
YT 3.4 4.5 -3.4
Rx*yT (Rx*YT)^2 DIRECTO 515261.202 265494106331 4743.06244 681963.356 465074018443 4743.06244 -515261.2 265494106331 4743.06244 996062231105 14229.1873
TA
ON Y CORTANTE Vy TORCIONAL 0.00 0.00 0.00 0.00 0.00 0.00 0.00
TOTAL 197.72 197.72 197.72 197.72 197.72 197.72 1186.34
CORTANTE Vx TORCIONAL 0.0 0.0 0.0 0.0
TOTAL 372.5 372.5 372.5 1117.6
VX
9.92296E+11
VX
1.03784E+12
CORTANTE Vx -0.005 -0.002 0.002 0.001 0.001 -0.001 -0.004
ON X CORTANTE Vy 0.000770 0.001019 -0.000770 0.001019
PISO
ON Y CORTANTE Vy TORCIONAL 0.00 0.00 0.00 0.00 0.00 0.00 0.00
CORTANTE Vx TOTAL 569.18 569.17 569.17 569.17 569.17 569.17 3415.04
-0.017 -0.006 0.006 0.003 0.003 -0.002 -0.013
ON X CORTANTE Vx
CORTANTE Vy
TORCIONAL 0.0 0.0 0.0 0.0
TOTAL 2357.4 2357.4 2357.4 7072.2
0.002311 0.003059 -0.002311 0.003059
PISO
ON Y CORTANTE Vy TORCIONAL 0.01 0.00 0.00 0.00 0.00 0.00 0.01
VX
1.32013E+12
VX
3.86162E+12
CORTANTE Vx TOTAL 1295.88 1295.87 1295.87 1295.87 1295.87 1295.87 7775.22
-0.026 -0.009 0.009 0.005 0.005 -0.003 -0.020
ON X CORTANTE Vx TORCIONAL 0.0 0.0 0.0 0.0
CORTANTE Vy TOTAL 2591.7 2591.7 2591.8 7775.2
0.003957 0.005238 -0.003957 0.005238
PISO
ON Y CORTANTE Vy TORCIONAL 0.007 0.003 -0.002 -0.001 -0.001
CORTANTE Vx TOTAL 3370.67 3370.66 3370.66 3370.66 3370.66
-0.023 -0.008 0.008 0.004 0.005
0.001 0.0054
3370.66 20223.97
-0.003 -0.017
ON X CORTANTE Vx TORCIONAL -0.0236 -0.0312 0.0236 -0.031
CORTANTE Vy TOTAL 4743.0 4743.0 4743.1 14229.2
0.007242 0.009585 -0.007242 0.009585