20151208111252

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RIGIDEZ LATERAL ANÁLISIS ESTÁTICO f'c= 210 CALCULO PESO EDFICACIÓN Ec= 2,188,197.89 TON/M2 AZOTEA: COLUMNAS CIRCULAR 90 M2 60 M2 D= 0.5 M 0.7 TON/M2 0.7 TON/M2 r= 0.25 M 0.4 TON/M2 0.15 TON/M2 I= 0.003067962 M4 50.00% 25.00% EIc= 6,713.31 TON-M2 81 TON 44.25 TON PLACA 8.256880734 TON-SEG/M2 4.510703364 TON-SEG/M2 L= 0.9 MASA/M2 1° NIVEL 0.091743119 TON-SEG/M4 MASA/M2 2° NIVEL 0.075178389 TON-SEG/M4 e= 0.15 PISO Hi (M) Pi (TON) PixHi αi Fi (TON) ey + 5%Ly EXC. Ip= 0.0091125 M4 1.00 3.00 81.00 243.00 0.48 13.89 1.3949 Ly=10 19.3813 EIp= 19,939.95 TON-M2 2.00 6.00 44.25 265.50 0.52 15.18 0.2500 Ly=5 3.7953 A= 0.135 125.25 508.50 1.00 29.08 Ƴ= 0.2 Z= 0.45 f= 1.2 U= 1.3 hn= 6 H1°PISO= 3 S2= 1 Ct= 60 g1° PISO= 0.1296 Tp= 0.4 T= 0.1000 SEG H2°PISO= 3 Tl= 2.5 g2° PISO= 0.1296 C= 2.5 Vbasal= 29.076 TON OK PLACA-COLUMNA Ro= 7 > 1.2 CALCULO DEL CENTRO DE MASAS Ip-c= 0.000253125 M4 Ia= 1 EIp-c= 553.89 TON-M2 Ip= 0.9 MATRICES DE COMPATIBILIDAD Ai Xi Yi AiXi AiYi R= 6.3 Xo= 0 60 3 5 180 300 xi= 5.000 M PORTICO A Yo= 0 30 9 7.5 270 225 yi= 5.833 M PRIMER PISO 0.00 0.00 0.00 0.00 0.00 0.00 PORTICO A 90 450 525 Kc= 2,983.69 TON/M 0.00 0.00 0.00 0.00 0.00 0.00 αp= 90 1.570796327 0.00 0.00 11,934.77 -5,967.38 83,543.38 -35,804.30 PRIMER PISO 0.00 0.00 1.00 0.00 7.00 0.00 SEGUNDO PISO 11,934.77 -5,967.38 0.00 0.00 -5,967.38 5,967.38 -41,771.69 35,804.30 Xi= 7.000 0.00 0.00 0.00 1.00 0.00 6.00 Kc= 2,983.69 TON/M -5,967.38 5,967.38 0.00 0.00 83,543.38 -41,771.69 584,803.64 -250,630.13 Yi= 0 0.00 0.00 -35,804.30 35,804.30 -250,630.13 214,825.83 SEGUNDO PISO K1= 5,967.38 TON/M Xi= 6 K2= 5,967.38 TON/M Yi= 0 PORTICO B PRIMER PISO 0.00 0.00 0.00 0.00 0.00 0.00 PORTICO B Kc= 2,983.69 TON/M 0.00 0.00 0.00 0.00 0.00 0.00 αp= 90 1.570796327 Kp-c= 246.17 TON/M 0.00 0.00 3,968.38 -492.34 3,968.38 0.00 PRIMER PISO 0.00 0.00 1.00 0.00 1.00 0.00 SEGUNDO PISO 3,968.38 -492.34 0.00 0.00 -492.34 492.34 -492.34 0.00 Xi= 1.000 0.00 0.00 0.00 1.00 0.00 0.00 Kc= 2,983.69 TON/M -492.34 492.34 0.00 0.00 3,968.38 -492.34 3,968.38 0.00 Yi= 0 Kp-c= 246.17 TON/M 0.00 0.00 0.00 0.00 0.00 0.00 SEGUNDO PISO K1= 3,476.04 TON/M Xi= 0 K2= 492.34 TON/M Yi= 0 PORTICO C 0.00 0.00 0.00 0.00 0.00 0.00 PORTICO C PRIMER PISO 0.00 0.00 0.00 0.00 0.00 0.00 αp= 90 1.570796327 Kc= 2,983.69 TON/M 0.00 0.00 14,918.46 -5,967.38 -74,592.30 35,804.30 PRIMER PISO 0.00 0.00 1.00 0.00 -5.00 0.00 SEGUNDO PISO 14,918.46 -5,967.38 0.00 0.00 -5,967.38 5,967.38 29,836.92 -35,804.30 Xi= -5.000 0.00 0.00 0.00 1.00 0.00 -6.00 Kc= 2,983.69 TON/M -5,967.38 5,967.38 0.00 0.00 -74,592.30 29,836.92 372,961.50 -179,021.52 Yi= 0 K1= 8,951.08 TON/M 0.00 0.00 35,804.30 -35,804.30 -179,021.52 214,825.83 SEGUNDO PISO K2= 5,967.38 TON/M Xi= -6 Yi= 0 PORTICO 1 5,967.38 0.00 0.00 0.00 34,809.74 0.00 PORTICO 1 PRIMER PISO 0.00 0.00 0.00 0.00 0.00 0.00 αp= 0 0 Kc= 2,983.69 TON/M 0.00 0.00 0.00 0.00 0.00 0.00 PRIMER PISO 1.00 0.00 0.00 0.00 5.83 0.00 SEGUNDO PISO 5,967.38 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Xi= 0 0.00 0.00 0.00 0.00 0.00 0.00 Kc= 0.00 TON/M 0.00 0.00 34,809.74 0.00 0.00 0.00 203,056.82 0.00 Yi= -5.833333333 K1= 5,967.38 TON/M 0.00 0.00 0.00 0.00 0.00 0.00 SEGUNDO PISO K2= 0.00 TON/M Xi= 0 Yi= 0 PORTICO 2 PRIMER PISO 26,010.69 -13,005.35 0.00 0.00 21,675.58 -32,513.36 PORTICO 2 Kc= 2,983.69 TON/M -13,005.35 13,005.35 0.00 0.00 -10,837.79 32,513.36 αp= 0.000 0 Kp= 7,037.96 TON/M 0.00 0.00 0.00 0.00 0.00 0.00 PRIMER PISO 1.00 0.00 0.00 0.00 0.83 0.00 SEGUNDO PISO 26,010.69 -13,005.35 0.00 0.00 0.00 0.00 0.00 0.00 Xi= 0 0.00 1.00 0.00 0.00 0.00 2.50 Kc= 2,983.69 TON/M -13,005.35 13,005.35 21,675.58 -10,837.79 0.00 0.00 18,062.98 -27,094.47 Yi= -0.833 Kp= 7,037.96 TON/M -32,513.36 32,513.36 0.00 0.00 -27,094.47 81,283.41 SEGUNDO PISO K1= 13,005.35 TON/M Xi= 0 K2= 13,005.35 TON/M Yi= -2.5 PORTICO 3 26,010.69 -13,005.35 0.00 0.00 -108,377.88 32,513.36 PORTICO 3 PRIMER PISO -13,005.35 13,005.35 0.00 0.00 54,188.94 -32,513.36 αp= 0 0 Kc= 2,983.69 TON/M 0.00 0.00 0.00 0.00 0.00 0.00 PRIMER PISO 1.00 0.00 0.00 0.00 -4.17 0.00 Kp= 7,037.96 TON/M 26,010.69 -13,005.35 0.00 0.00 0.00 0.00 0.00 0.00 Xi= 0 0.00 1.00 0.00 0.00 0.00 -2.50 SEGUNDO PISO -13,005.35 13,005.35 -108,377.88 54,188.94 0.00 0.00 451,574.51 -135,472.35 Yi= 4.167 Kc= 2,983.69 TON/M 32,513.36 -32,513.36 0.00 0.00 -135,472.35 81,283.41 SEGUNDO PISO Kp= 7,037.96 TON/M Xi= 0 K1= 13,005.35 TON/M D1X D2X D1Y D2Y DO1 DO2 Yi= 2.5 K2= 13,005.35 TON/M D1X 57,988.7672 -26,010.6916 0.0000 0.0000 -51,892.5651 0.0000 ey1= -0.8949 D2X -26,010.6916 26,010.6916 0.0000 0.0000 43,351.1527 0.0000 ey2= 0.0000 D1Y 0.0000 0.0000 30,821.6092 -12,427.1126 12,919.4571 0.0000 ex1= 0.4192 DESPLAZAMIENTO LATERALES ALTURA DERIVAS ELASTICA x DESPLAZAMIENTOS LATERALES PERMISIBLES D2Y 0.0000 0.0000 -12,427.1126 12,427.1126 -12,427.1126 0.0000 ex2= 0.0000 PORTICO A DO1 -51,892.5651 43,351.1527 12,919.4571 -12,427.1126 1,634,427.8243 -592,218.4732 1° PISO δ1= 4.1178E-05 m 3 x 0.008% < 0.70% OK DO2 0.0000 0.0000 0.0000 0.0000 -592,218.4732 592,218.4732 2° PISO δ2= 7.96297E-05 m 3 x 0.008% < 0.70% OK PORTICO B MATRIZ DE CARGAS GLOBALES MATRIZ DE DESPLAZAMIENTOS GLOBALES 1° PISO δ1= 5.74709E-06 m 3 x 0.001% < 0.70% OK Q1X= 13.89 TON D1X= 0.000910822 M 2° PISO δ2= 5.74709E-06 m 3 x 0.000% < 0.70% OK Q2X= 15.18 TON D2X= 0.001484633 M PORTICO C Q1Y= 0 TON D1Y= -1.58056E-07 M 1° PISO δ1= -2.96838E-05 m 3 x -0.006% < 0.70% OK Q2Y= 0 TON D2Y= 5.74709E-06 M 2° PISO δ2= -6.81355E-05 m 3 x -0.008% < 0.70% OK QO1= 19.3813 TON-M DO1= 5.90515E-06 RAD PORTICO 1 QO2= 3.7953 TON-M DO2= 1.23138E-05 RAD 1° PISO δ1= 0.000945269 m 3 x 0.187% < 0.70% OK 2° PISO δ2= 0m 3 x PORTICO 2 1° PISO δ1= 0.000915743 m 3 x 0.182% < 0.70% OK 2° PISO δ2= 0.001515417 m 3 x 0.119% < 0.70% OK PORTICO 3 1° PISO δ1= 0.000886217 m 3 x 0.176% < 0.70% OK 2° PISO δ2= 0.001453849 m 3 x 0.113% < 0.70% OK ANÁLISIS DINÁMICO CALCULO MASA TORSIONAL MATRIZ DE MASAS PRIMER PISO Ai mi B H Xi Yi Ji 8.256881 0.000000 0.000000 0.000000 0.000000 0.000000 60 5.50459 6 10 -2.000 -0.833 88.23 0.000000 4.510703 0.000000 0.000000 0.000000 0.000000 30 2.75229 12 5 4.000 1.667 90.44 0.000000 0.000000 8.256881 0.000000 0.000000 0.000000 TOTAL 90 8.257 J 1° NIVEL 178.67 0.000000 0.000000 0.000000 4.510703 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 178.669725 0.000000 SEGUNDO PISO 0.000000 0.000000 0.000000 0.000000 0.000000 63.525739 Ai mi B H Xi Yi Ji 60 4.51070 5 12 0.000 0.000 63.53 J 2° NIVEL 63.53 FACTOR DE ZONA Z= 0.45 FACTOR DE USO U= 1.3 FACTOR DE SUELO S1= 1 PERIODO DEL SUELO Tp= 0.4 Tl= 2.5 C= 2.5 COEFICIENTE DE REDUCCIÓN SISMICA Ro= 7 Ia= 1 Ip= 0.9 R= 6.3 CORTANTE BASAL ZUS/R 0.0928571 ωi2 (rad/seg)2 ωi (rad/seg) fi (Hertz) Ti (S) Ci Sai (m/s2) Sd (m) 1,144.70 33.834 5.38 0.186 2.50 2.28 0.001989 2,054.30 45.32 7.21 0.139 2.50 2.28 0.001109 3,346.10 57.85 9.21 0.109 2.50 2.28 0.000681 5,397.00 73.46 11.69 0.086 2.50 2.28 0.000422 10,534.10 102.64 16.34 0.061 2.50 2.28 0.000216 15,271.50 123.58 19.67 0.051 2.50 2.28 0.000149 CALCULO DE LOS MODOS DE VIBRAR MODO 1 MODO 2 MODO 3 MODO 4 MODO 5 MODO 6 a1x -0.00102 0.60326 1.00000 0.04475 0.86076 0.77924 a2x -0.01684 1.00000 -0.05990 -0.03299 -1.00000 -1.00000 a1y 0.57701 0.02495 -0.71297 0.93084 0.00682 -0.08822 a2y 1.00000 0.00257 0.45626 -1.00000 -0.00963 0.13420 a1z 0.00748 -0.02430 0.61509 0.02812 0.02038 -0.52146 a2z 0.00853 -0.03116 0.95947 0.06677 -0.15680 0.81717 NORMALIZACÓN DE MODOS DE VIBRAR MODO 1 8.2569 0.0000 0.0000 0.0000 0.0000 0.0000 -0.00102204 0.0000 4.5107 0.0000 0.0000 0.0000 0.0000 -0.016840048 0.0000 0.0000 8.2569 0.0000 0.0000 0.0000 0.577006075 -0.00102204 -0.016840048 0.577006075 1 0.007485 0.0085327 x 0.0000 0.0000 0.0000 4.5107 0.0000 0.0000 x 1 = 7.275639211 0.0000 0.0000 0.0000 0.0000 178.6697 0.0000 0.007484978 0.0000 0.0000 0.0000 0.0000 0.0000 63.5257 0.00853274 MODO 2 8.2569 0.0000 0.0000 0.0000 0.0000 0.0000 0.603262025 0.0000 4.5107 0.0000 0.0000 0.0000 0.0000 1 0.0000 0.0000 8.2569 0.0000 0.0000 0.0000 0.024947732 0.603262025 1 0.024947732 0.0025662 -0.024295 -0.031162 x 0.0000 0.0000 0.0000 4.5107 0.0000 0.0000 x 0.0025662 = 7.687903993 0.0000 0.0000 0.0000 0.0000 178.6697 0.0000 -0.024295006 0.0000 0.0000 0.0000 0.0000 0.0000 63.5257 -0.031161684 AA= KLATA= AB= KLATB= AC= KLATC= A1= KLAT1= A2= KLAT2= A3= KLAT3= PRIMER PISO: AREA= WD= WL= PROBABILIDAD WL % MASA 1°= AREA= WD= WL= PROBABILIDAD WL % PESO 1 °= MASA 2°= PESO 1 °= MOMENTO TORSIONAL TOTAL 0.0014% 5.050 MOMENTO CONTRA VOLTEO Y 448.125 FACTOR INELASTICO 5.95 5.95 5.95 5.95 38.76 mi(Xi¨2+Yi¨2) 25.84 51.68 5.95 5.95 5.95 5.95 5.95 5.95 0.0305% 0.0200% 0.0295% 0.0189% -0.0010% 5.95 5.95 0.85Ro mi/Ai(Ix+Iy) 62.39 0.0013% 0.0002% 0.0000% -0.0013% 0.0315% mi/Ai(Ix+Iy) mi(Xi¨2+Yi¨2) 63.53 0.00 MOMENTO VOLTEO 132.77 MOMENTO CONTRA VOLTEO X 670.5 FACTOR SEGURIDAD VOLTEO 2 C-1 C-1 A C SISMO Y C-1 2 SEGUNDO PISO C-1 PLACA 1 SISMO X C A C-1 3 B C-1 C-1 C-1 SISMO X C-1 B PLACA 1 C-1 3 PLACA 1 SISMO Y PLACA 1 1

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Transcript of 20151208111252

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RIGIDEZ LATERAL ANÁLISIS ESTÁTICOf'c= 210 CALCULO PESO EDFICACIÓNEc= 2,188,197.89 TON/M2 AZOTEA:COLUMNAS CIRCULAR 90 M2 60 M2D= 0.5 M 0.7 TON/M2 0.7 TON/M2r= 0.25 M 0.4 TON/M2 0.15 TON/M2I= 0.003067962 M4 50.00% 25.00%EIc= 6,713.31 TON-M2 81 TON 44.25 TONPLACA 8.256880734 TON-SEG/M2 4.510703364 TON-SEG/M2L= 0.9 MASA/M2 1° NIVEL 0.091743119 TON-SEG/M4 MASA/M2 2° NIVEL 0.075178389 TON-SEG/M4e= 0.15 PISO Hi (M) Pi (TON) PixHi αi Fi (TON) ey + 5%Ly EXC.Ip= 0.0091125 M4 1.00 3.00 81.00 243.00 0.48 13.89 1.3949 Ly=10 19.3813EIp= 19,939.95 TON-M2 2.00 6.00 44.25 265.50 0.52 15.18 0.2500 Ly=5 3.7953A= 0.135 125.25 508.50 1.00 29.08Ƴ= 0.2 Z= 0.45f= 1.2 U= 1.3 hn= 6H1°PISO= 3 S2= 1 Ct= 60g1° PISO= 0.1296 Tp= 0.4 T= 0.1000 SEGH2°PISO= 3 Tl= 2.5g2° PISO= 0.1296 C= 2.5 Vbasal= 29.076 TON OKPLACA-COLUMNA Ro= 7 > 1.2

CALCULO DEL CENTRO DE MASAS Ip-c= 0.000253125 M4 Ia= 1EIp-c= 553.89 TON-M2 Ip= 0.9

MATRICES DE COMPATIBILIDAD Ai Xi Yi AiXi AiYi R= 6.3Xo= 0 60 3 5 180 300 xi= 5.000 M PORTICO AYo= 0 30 9 7.5 270 225 yi= 5.833 M PRIMER PISO 0.00 0.00 0.00 0.00 0.00 0.00PORTICO A 90 450 525 Kc= 2,983.69 TON/M 0.00 0.00 0.00 0.00 0.00 0.00αp= 90 1.570796327 0.00 0.00 11,934.77 -5,967.38 83,543.38 -35,804.30PRIMER PISO 0.00 0.00 1.00 0.00 7.00 0.00 SEGUNDO PISO 11,934.77 -5,967.38 0.00 0.00 -5,967.38 5,967.38 -41,771.69 35,804.30Xi= 7.000 0.00 0.00 0.00 1.00 0.00 6.00 Kc= 2,983.69 TON/M -5,967.38 5,967.38 0.00 0.00 83,543.38 -41,771.69 584,803.64 -250,630.13Yi= 0 0.00 0.00 -35,804.30 35,804.30 -250,630.13 214,825.83SEGUNDO PISO K1= 5,967.38 TON/MXi= 6 K2= 5,967.38 TON/MYi= 0 PORTICO B

PRIMER PISO 0.00 0.00 0.00 0.00 0.00 0.00PORTICO B Kc= 2,983.69 TON/M 0.00 0.00 0.00 0.00 0.00 0.00αp= 90 1.570796327 Kp-c= 246.17 TON/M 0.00 0.00 3,968.38 -492.34 3,968.38 0.00PRIMER PISO 0.00 0.00 1.00 0.00 1.00 0.00 SEGUNDO PISO 3,968.38 -492.34 0.00 0.00 -492.34 492.34 -492.34 0.00Xi= 1.000 0.00 0.00 0.00 1.00 0.00 0.00 Kc= 2,983.69 TON/M -492.34 492.34 0.00 0.00 3,968.38 -492.34 3,968.38 0.00Yi= 0 Kp-c= 246.17 TON/M 0.00 0.00 0.00 0.00 0.00 0.00SEGUNDO PISO K1= 3,476.04 TON/MXi= 0 K2= 492.34 TON/MYi= 0 PORTICO C 0.00 0.00 0.00 0.00 0.00 0.00PORTICO C PRIMER PISO 0.00 0.00 0.00 0.00 0.00 0.00αp= 90 1.570796327 Kc= 2,983.69 TON/M 0.00 0.00 14,918.46 -5,967.38 -74,592.30 35,804.30PRIMER PISO 0.00 0.00 1.00 0.00 -5.00 0.00 SEGUNDO PISO 14,918.46 -5,967.38 0.00 0.00 -5,967.38 5,967.38 29,836.92 -35,804.30Xi= -5.000 0.00 0.00 0.00 1.00 0.00 -6.00 Kc= 2,983.69 TON/M -5,967.38 5,967.38 0.00 0.00 -74,592.30 29,836.92 372,961.50 -179,021.52Yi= 0 K1= 8,951.08 TON/M 0.00 0.00 35,804.30 -35,804.30 -179,021.52 214,825.83SEGUNDO PISO K2= 5,967.38 TON/MXi= -6Yi= 0 PORTICO 1 5,967.38 0.00 0.00 0.00 34,809.74 0.00PORTICO 1 PRIMER PISO 0.00 0.00 0.00 0.00 0.00 0.00αp= 0 0 Kc= 2,983.69 TON/M 0.00 0.00 0.00 0.00 0.00 0.00PRIMER PISO 1.00 0.00 0.00 0.00 5.83 0.00 SEGUNDO PISO 5,967.38 0.00 0.00 0.00 0.00 0.00 0.00 0.00Xi= 0 0.00 0.00 0.00 0.00 0.00 0.00 Kc= 0.00 TON/M 0.00 0.00 34,809.74 0.00 0.00 0.00 203,056.82 0.00Yi= -5.833333333 K1= 5,967.38 TON/M 0.00 0.00 0.00 0.00 0.00 0.00SEGUNDO PISO K2= 0.00 TON/MXi= 0Yi= 0 PORTICO 2

PRIMER PISO 26,010.69 -13,005.35 0.00 0.00 21,675.58 -32,513.36PORTICO 2 Kc= 2,983.69 TON/M -13,005.35 13,005.35 0.00 0.00 -10,837.79 32,513.36αp= 0.000 0 Kp= 7,037.96 TON/M 0.00 0.00 0.00 0.00 0.00 0.00PRIMER PISO 1.00 0.00 0.00 0.00 0.83 0.00 SEGUNDO PISO 26,010.69 -13,005.35 0.00 0.00 0.00 0.00 0.00 0.00Xi= 0 0.00 1.00 0.00 0.00 0.00 2.50 Kc= 2,983.69 TON/M -13,005.35 13,005.35 21,675.58 -10,837.79 0.00 0.00 18,062.98 -27,094.47Yi= -0.833 Kp= 7,037.96 TON/M -32,513.36 32,513.36 0.00 0.00 -27,094.47 81,283.41SEGUNDO PISO K1= 13,005.35 TON/MXi= 0 K2= 13,005.35 TON/MYi= -2.5

PORTICO 3 26,010.69 -13,005.35 0.00 0.00 -108,377.88 32,513.36PORTICO 3 PRIMER PISO -13,005.35 13,005.35 0.00 0.00 54,188.94 -32,513.36αp= 0 0 Kc= 2,983.69 TON/M 0.00 0.00 0.00 0.00 0.00 0.00PRIMER PISO 1.00 0.00 0.00 0.00 -4.17 0.00 Kp= 7,037.96 TON/M 26,010.69 -13,005.35 0.00 0.00 0.00 0.00 0.00 0.00Xi= 0 0.00 1.00 0.00 0.00 0.00 -2.50 SEGUNDO PISO -13,005.35 13,005.35 -108,377.88 54,188.94 0.00 0.00 451,574.51 -135,472.35Yi= 4.167 Kc= 2,983.69 TON/M 32,513.36 -32,513.36 0.00 0.00 -135,472.35 81,283.41SEGUNDO PISO Kp= 7,037.96 TON/MXi= 0 K1= 13,005.35 TON/M D1X D2X D1Y D2Y DO1 DO2Yi= 2.5 K2= 13,005.35 TON/M D1X 57,988.7672 -26,010.6916 0.0000 0.0000 -51,892.5651 0.0000 ey1= -0.8949

D2X -26,010.6916 26,010.6916 0.0000 0.0000 43,351.1527 0.0000 ey2= 0.0000D1Y 0.0000 0.0000 30,821.6092 -12,427.1126 12,919.4571 0.0000 ex1= 0.4192

DESPLAZAMIENTO LATERALES ALTURA DERIVAS ELASTICA x DESPLAZAMIENTOS LATERALES PERMISIBLES D2Y 0.0000 0.0000 -12,427.1126 12,427.1126 -12,427.1126 0.0000 ex2= 0.0000PORTICO A DO1 -51,892.5651 43,351.1527 12,919.4571 -12,427.1126 1,634,427.8243 -592,218.47321° PISO δ1= 4.1178E-05 m 3 x 0.008% < 0.70% OK DO2 0.0000 0.0000 0.0000 0.0000 -592,218.4732 592,218.47322° PISO δ2= 7.96297E-05 m 3 x 0.008% < 0.70% OKPORTICO B MATRIZ DE CARGAS GLOBALES MATRIZ DE DESPLAZAMIENTOS GLOBALES1° PISO δ1= 5.74709E-06 m 3 x 0.001% < 0.70% OK Q1X= 13.89 TON D1X= 0.000910822 M2° PISO δ2= 5.74709E-06 m 3 x 0.000% < 0.70% OK Q2X= 15.18 TON D2X= 0.001484633 MPORTICO C Q1Y= 0 TON D1Y= -1.58056E-07 M1° PISO δ1= -2.96838E-05 m 3 x -0.006% < 0.70% OK Q2Y= 0 TON D2Y= 5.74709E-06 M2° PISO δ2= -6.81355E-05 m 3 x -0.008% < 0.70% OK QO1= 19.3813 TON-M DO1= 5.90515E-06 RADPORTICO 1 QO2= 3.7953 TON-M DO2= 1.23138E-05 RAD1° PISO δ1= 0.000945269 m 3 x 0.187% < 0.70% OK2° PISO δ2= 0 m 3 xPORTICO 21° PISO δ1= 0.000915743 m 3 x 0.182% < 0.70% OK2° PISO δ2= 0.001515417 m 3 x 0.119% < 0.70% OKPORTICO 31° PISO δ1= 0.000886217 m 3 x 0.176% < 0.70% OK2° PISO δ2= 0.001453849 m 3 x 0.113% < 0.70% OK

ANÁLISIS DINÁMICOCALCULO MASA TORSIONAL MATRIZ DE MASASPRIMER PISO

Ai mi B H Xi Yi Ji 8.256881 0.000000 0.000000 0.000000 0.000000 0.00000060 5.50459 6 10 -2.000 -0.833 88.23 0.000000 4.510703 0.000000 0.000000 0.000000 0.00000030 2.75229 12 5 4.000 1.667 90.44 0.000000 0.000000 8.256881 0.000000 0.000000 0.000000

TOTAL 90 8.257 J 1° NIVEL 178.67 0.000000 0.000000 0.000000 4.510703 0.000000 0.0000000.000000 0.000000 0.000000 0.000000 178.669725 0.000000

SEGUNDO PISO 0.000000 0.000000 0.000000 0.000000 0.000000 63.525739Ai mi B H Xi Yi Ji60 4.51070 5 12 0.000 0.000 63.53

J 2° NIVEL 63.53

FACTOR DE ZONA Z= 0.45FACTOR DE USO U= 1.3FACTOR DE SUELO S1= 1PERIODO DEL SUELO Tp= 0.4

Tl= 2.5C= 2.5

COEFICIENTE DE REDUCCIÓN SISMICARo= 7Ia= 1Ip= 0.9

R= 6.3

CORTANTE BASALZUS/R 0.0928571

ωi2(rad/seg)2

ωi(rad/seg)

fi(Hertz)

Ti(S) Ci Sai (m/s2) Sd (m)

1,144.70 33.834 5.38 0.186 2.50 2.28 0.0019892,054.30 45.32 7.21 0.139 2.50 2.28 0.0011093,346.10 57.85 9.21 0.109 2.50 2.28 0.0006815,397.00 73.46 11.69 0.086 2.50 2.28 0.000422

10,534.10 102.64 16.34 0.061 2.50 2.28 0.00021615,271.50 123.58 19.67 0.051 2.50 2.28 0.000149

CALCULO DE LOS MODOS DE VIBRARMODO 1 MODO 2 MODO 3 MODO 4 MODO 5 MODO 6

a1x -0.00102 0.60326 1.00000 0.04475 0.86076 0.77924a2x -0.01684 1.00000 -0.05990 -0.03299 -1.00000 -1.00000a1y 0.57701 0.02495 -0.71297 0.93084 0.00682 -0.08822a2y 1.00000 0.00257 0.45626 -1.00000 -0.00963 0.13420a1z 0.00748 -0.02430 0.61509 0.02812 0.02038 -0.52146a2z 0.00853 -0.03116 0.95947 0.06677 -0.15680 0.81717

NORMALIZACÓN DE MODOS DE VIBRARMODO 1 8.2569 0.0000 0.0000 0.0000 0.0000 0.0000 -0.00102204

0.0000 4.5107 0.0000 0.0000 0.0000 0.0000 -0.0168400480.0000 0.0000 8.2569 0.0000 0.0000 0.0000 0.577006075

-0.00102204 -0.016840048 0.577006075 1 0.007485 0.0085327 x 0.0000 0.0000 0.0000 4.5107 0.0000 0.0000 x 1 = 7.2756392110.0000 0.0000 0.0000 0.0000 178.6697 0.0000 0.0074849780.0000 0.0000 0.0000 0.0000 0.0000 63.5257 0.00853274

MODO 2 8.2569 0.0000 0.0000 0.0000 0.0000 0.0000 0.6032620250.0000 4.5107 0.0000 0.0000 0.0000 0.0000 10.0000 0.0000 8.2569 0.0000 0.0000 0.0000 0.024947732

0.603262025 1 0.024947732 0.0025662 -0.024295 -0.031162 x 0.0000 0.0000 0.0000 4.5107 0.0000 0.0000 x 0.0025662 = 7.6879039930.0000 0.0000 0.0000 0.0000 178.6697 0.0000 -0.0242950060.0000 0.0000 0.0000 0.0000 0.0000 63.5257 -0.031161684

AA= KLATA=

AB= KLATB=

AC= KLATC=

A1= KLAT1=

A2= KLAT2=

A3= KLAT3=

PRIMER PISO:AREA=WD=WL=PROBABILIDAD WL %

MASA 1°=

AREA=WD=WL=PROBABILIDAD WL %PESO 1 °=MASA 2°=

PESO 1 °=

MOMENTO TORSIONAL

TOTAL

0.0014%

5.050MOMENTO CONTRA VOLTEO Y

448.125

FACTOR INELASTICO

5.955.95

5.955.95

38.76

mi(Xi¨2+Yi¨2)25.8451.68

5.955.95

5.955.95

5.955.95

0.0305%0.0200%

0.0295%0.0189%

-0.0010%

5.955.95

0.85Ro

mi/Ai(Ix+Iy)62.39

0.0013%

0.0002%0.0000%

-0.0013%

0.0315%

mi/Ai(Ix+Iy) mi(Xi¨2+Yi¨2)63.53 0.00

MOMENTO VOLTEO132.77

MOMENTO CONTRA VOLTEO X670.5

FACTOR SEGURIDAD VOLTEO2

C-1C-1

AC

SISMO Y

C-1

2

SEGUNDO PISO

C-1

PLACA 1

SISMO X

C A

C-1

3

B

C-1

PRIMER PISO

C-1 C-1

SISMO X

C-1

B

PLACA 1

C-1

3

PLACA 1

SISMO Y

PLACA 1

1

Page 2: 20151208111252

MODO 3 8.2569 0.0000 0.0000 0.0000 0.0000 0.0000 10.0000 4.5107 0.0000 0.0000 0.0000 0.0000 -0.0599015620.0000 0.0000 8.2569 0.0000 0.0000 0.0000 -0.712974963

1 -0.059901562 -0.712974963 0.456257 0.6150853 0.9594657 x 0.0000 0.0000 0.0000 4.5107 0.0000 0.0000 x 0.456256952 = 139.48559010.0000 0.0000 0.0000 0.0000 178.6697 0.0000 0.6150853270.0000 0.0000 0.0000 0.0000 0.0000 63.5257 0.959465708

MODO 4 8.2569 0.0000 0.0000 0.0000 0.0000 0.0000 0.0447451430.0000 4.5107 0.0000 0.0000 0.0000 0.0000 -0.0329945720.0000 0.0000 8.2569 0.0000 0.0000 0.0000 0.930841743

0.044745143 -0.032994572 0.930841743 -1 0.0281155 0.0667699 x 0.0000 0.0000 0.0000 4.5107 0.0000 0.0000 x -1 = 12.110901250.0000 0.0000 0.0000 0.0000 178.6697 0.0000 0.0281154670.0000 0.0000 0.0000 0.0000 0.0000 63.5257 0.06676993

MODO 5 8.2569 0.0000 0.0000 0.0000 0.0000 0.0000 0.8607553890.0000 4.5107 0.0000 0.0000 0.0000 0.0000 -10.0000 0.0000 8.2569 0.0000 0.0000 0.0000 0.006819661

0.860755389 -1 0.006819661 -0.009632 0.0203779 -0.156796 x 0.0000 0.0000 0.0000 4.5107 0.0000 0.0000 x -0.009632266 = 12.265005680.0000 0.0000 0.0000 0.0000 178.6697 0.0000 0.0203778680.0000 0.0000 0.0000 0.0000 0.0000 63.5257 -0.156796244

MODO 6 8.2569 0.0000 0.0000 0.0000 0.0000 0.0000 0.7792362350.0000 4.5107 0.0000 0.0000 0.0000 0.0000 -10.0000 0.0000 8.2569 0.0000 0.0000 0.0000 -0.088216464

0.779236235 -1 -0.088216464 0.1341973 -0.521458 0.8171675 x 0.0000 0.0000 0.0000 4.5107 0.0000 0.0000 x 0.13419734 = 100.67359110.0000 0.0000 0.0000 0.0000 178.6697 0.0000 -0.5214581720.0000 0.0000 0.0000 0.0000 0.0000 63.5257 0.817167489

MATRIZ MODAL NORMALIZADA COMPROBACÍÓN CON MATRIZ DE MASA COMPROBACÍÓN CON MATRIZ DE RIGIDES GLOBALMODO 1 MODO 2 MODO 3 MODO 4 MODO 5 MODO 6 ωi2 (rad/seg)2

Ф1x -0.000378907 0.217571503 0.0846711 0.0128575 0.2457796 0.0776625 1.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1.0000000 1,144.7387 0.0000 0.0000 0.0000 0.0000 0.0000 1,144.70Ф2x -0.006243207 0.360658377 -0.005072 -0.009481 -0.285539 -0.099665 0.0000 1.0000 0.0000 0.0000 0.0000 0.0000 1.0000000 0.0000 2,054.2723 0.0000 0.0000 0.0000 0.0000 2,054.30Ф1y 0.213916758 0.008997608 -0.060368 0.2674777 0.0019473 -0.008792 0.0000 0.0000 1.0000 0.0000 0.0000 0.0000 = 1.0000000 0.0000 0.0000 3,346.1174 0.0000 0.0000 0.0000 = 3,346.10Ф2y 0.370735712 0.000925522 0.0386318 -0.28735 -0.00275 0.0133748 0.0000 0.0000 0.0000 1.0000 0.0000 0.0000 1.0000000 0.0000 0.0000 0.0000 5,396.9817 0.0000 0.0000 5,397.00Ф1z 0.002774949 -0.008762197 0.05208 0.008079 0.0058187 -0.051971 0.0000 0.0000 0.0000 0.0000 1.0000 0.0000 1.0000000 0.0000 0.0000 0.0000 0.0000 10,534.0852 0.0000 10,534.10Ф2z 0.003163392 -0.011238723 0.081239 0.0191864 -0.044772 0.0814429 0.0000 0.0000 0.0000 0.0000 0.0000 1.0000 1.0000000 0.0000 0.0000 0.0000 0.0000 0.0000 15,271.4505 15,271.50

MATRIZ DE ACELEROGRAMAS

PISO X Y Z1 1 0 02 1 0 01 γ= 0 1 02 0 1 01 0 0 12 0 0 1

CALCULO DE COEFICIENTES DE PARTICIPACIÓN α

αx αy αzMODO 1 -0.031289844 3.438563982 0.6967561MODO 2 3.423284907 0.078466933 -2.279488MODO 3 0.676241394 -0.324198071 14.465883MODO 4 0.063397131 0.912379364 2.6622989MODO 5 0.741389263 0.003672275 -1.804521MODO 6 0.191691205 -0.012265602 -4.111936

CALCULO DE MASAS PARTICIPANTES Y PORCENTAJES DE PARTICIPACIÓN POR CADA MODO DE VIBRACIÓN

MASA ACTIVA % MASATOTAL % ACUM. MASA

ACTIVA% MASATOTAL % ACUM. MASA

ACTIVA% MASATOTAL % ACUM.

1 0.00 0.01% 0.01% 11.82 92.61% 92.61% 0.49 0.20% 0.20%2 11.72 91.79% 91.79% 0.01 0.05% 92.66% 5.20 2.15% 2.35%3 0.46 3.58% 95.38% 0.11 0.82% 93.48% 209.26 86.40% 88.75%4 0.00 0.03% 95.41% 0.83 6.52% 100.00% 7.09 2.93% 91.67%5 0.55 4.31% 99.71% 0.00 0.00% 100.00% 3.26 1.34% 93.02%6 0.04 0.29% 100.00% 0.00 0.00% 100.00% 16.91 6.98% 100.00%

TOTAL 12.77 12.77 242.2012.77 12.77 242.200.00 OK 0.00 OK 0.00 OK

ANALIZANDO EL SISMO EN X

CALCULO DE DEZPLAZAMIENTOS MÁXIMOS EN CADA MODO

MODO αi Sd (ni)máx1 -0.0313 0.0020 -0.00012 3.4233 0.0011 0.00383 0.6762 0.0007 0.00054 0.0634 0.0004 0.00005 0.7414 0.0002 0.00026 0.1917 0.0001 0.0000

-0.0001 0 0 0 0 00 0.0038 0 0 0 00 0 0.0005 0 0 0

rmod= 0 0 0 0.0000 0 00 0 0 0 0.0002 00 0 0 0 0 0.0000

MODO 1 MODO 2 MODO 3 MODO 4 MODO 5 MODO 61 PISO x 2.3586E-08 0.000825682 3.897E-05 3.44E-07 3.939E-05 2.22E-06 2.3586E-08 0.000825682 3.89686E-05 3.43956E-07 3.93928E-05 02 PISO x 3.88623E-07 0.001368696 -2.33E-06 -2.54E-07 -4.58E-05 -2.85E-06 3.88623E-07 0.001368696 2.33428E-06 2.53629E-07 4.57654E-05 0

Umodx = 1 PISO y -1.33158E-05 3.41459E-05 -2.78E-05 7.155E-06 3.121E-07 -2.51E-07 1.33158E-05 3.41459E-05 2.77836E-05 7.15538E-06 3.12105E-07 02 PISO y -2.30773E-05 3.51235E-06 1.778E-05 -7.69E-06 -4.41E-07 3.823E-07 2.30773E-05 3.51235E-06 1.77797E-05 7.68699E-06 4.40825E-07 01 PISO z -1.72733E-07 -3.32525E-05 2.397E-05 2.161E-07 9.326E-07 -1.49E-06 1.72733E-07 3.32525E-05 2.3969E-05 2.16123E-07 9.32601E-07 02 PISO z -1.96913E-07 -4.26509E-05 3.739E-05 5.133E-07 -7.18E-06 2.328E-06 1.96913E-07 4.26509E-05 3.7389E-05 5.1326E-07 7.17584E-06 0

CACULO DE DESPLAZAMIENTOS MÁXIMOS SISMO EN X

1 PISO x 0.0008473152 PISO x 0.0013821711 PISO y 5.56506E-052 PISO y 3.5974E-05

CACULO DE DERIVAS MÁXIMAS SISMO EN X

OPERACIÓN Δ Modo 1 Δ Modo 2 Δ Modo 3 Δ Modo 4 Δ Modo 5 Δ Modo 6

A 1 PISO x 2.3586E-08 0.000825682 3.897E-05 3.44E-07 3.939E-05 2.22E-06 2.3586E-08 0.000825682 3.89686E-05 3.43956E-07 3.93928E-05 0B-A 2 PISO x 3.65037E-07 0.000543014 -4.13E-05 -5.98E-07 -8.52E-05 -5.07E-06 3.65037E-07 0.000543014 4.13029E-05 5.97585E-07 8.51582E-05 0C 1 PISO y -1.33158E-05 3.41459E-05 -2.78E-05 7.155E-06 3.121E-07 -2.51E-07 1.33158E-05 3.41459E-05 2.77836E-05 7.15538E-06 3.12105E-07 0

D-D 2 PISO y -9.76157E-06 -3.06335E-05 4.556E-05 -1.48E-05 -7.53E-07 6.336E-07 9.76157E-06 3.06335E-05 4.55633E-05 1.48424E-05 7.52929E-07 0

Ro IRREGULAR RoH= 3 M 7.000 0.85 5.95

1 PISO x 0.000847315 0.1680507 < 0.70% OK2 PISO x 0.000582295 0.1154884 < 0.70% OK1 PISO y 5.56506E-05 0.0110374 < 0.70% OK2 PISO y 6.88328E-05 0.0136518 < 0.70% OK

MODODIRECCIÓN X DIRECCIÓN Y DIRECCIÓN Z (TOTACIONAL)

VARIABLEABCD

Page 3: 20151208111252

CALCULO DE FUERZAS INERCIALES

MODO 1 MODO 2 MODO 3 MODO 4 MODO 5 MODO 60.0002 14.0051 1.0766 0.0153 3.4263 0.2799 0.000222934 14.0051248 1.076643546 0.015327433 3.426335783 00.0020 12.6826 -0.0352 -0.0062 -2.1746 -0.1963 0.002006686 12.68262648 0.035232082 0.006174393 2.174594965 0-0.1259 0.5792 -0.7676 0.3189 0.0271 -0.0317 0.125860154 0.579178007 0.767619892 0.318859521 0.027146444 0-0.1192 0.0325 0.2684 -0.1871 -0.0209 0.0263 0.119161532 0.032546158 0.26835497 0.187133588 0.020946277 0-0.0353 -12.2049 14.3299 0.2084 1.7553 -4.0536 0.035329165 12.204864 14.32987001 0.208402909 1.75526971 4-0.0143 -5.5659 7.9476 0.1760 -4.8020 2.2585 0.014319574 5.565902823 7.947583486 0.175969807 4.80197093 2

FUERZAS INERCIALES MAXIMAS

1 PISO x 15.552 PISO x 13.431 PISO y 1.232 PISO y 0.43

M1z 22.65M2z 13.49

CORTANTE BASAL EN X

0.0002 14.0051 1.0766 0.0153 3.4263 0.27991 1 x 0.0020 12.6826 -0.0352 -0.0062 -2.1746 -0.1963

MODO 1 MODO 2 MODO 3 MODO 4 MODO 5 MODO 60.00 26.69 1.04 0.01 1.25 0.08 0.00222962 26.68775127 1.041411464 0.009153041 1.251740817 0

CORNTANTE BASAL MAXIMA EN X

27.32 OK

26.17 TON

CORTANTE BASAL EN Y

-0.1259 0.5792 -0.7676 0.3189 0.0271 -0.03171 1 x -0.1192 0.0325 0.2684 -0.1871 -0.0209 0.0263

MODO 1 MODO 2 MODO 3 MODO 4 MODO 5 MODO 6-0.25 0.61 -0.50 0.13 0.01 -0.01 0.245021686 0.611724165 0.499264922 0.131725933 0.006200167 0

CORNTANTE BASAL MAXIMA EN Y

1.00

MOMENTO VOLTEO EN Y0.0002 14.0051 1.0766 0.0153 3.4263 0.2799

3 6 x 0.0020 12.6826 -0.0352 -0.0062 -2.1746 -0.1963

MODO 1 MODO 2 MODO 3 MODO 4 MODO 5 MODO 60.01 118.11 3.02 0.01 -2.77 -0.34 0.012708917 118.1111333 3.018538145 0.008935944 2.768562444 0

MOMENTO MAXIMO VOLTEO EN X

119.70

670.50

5.60 > 1.2 OK

MOMENTO VOLTEO EN Y-0.1259 0.5792 -0.7676 0.3189 0.0271 -0.0317

3 6 x -0.1192 0.0325 0.2684 -0.1871 -0.0209 0.0263

MODO 1 MODO 2 MODO 3 MODO 4 MODO 5 MODO 6-1.09 1.93 -0.69 -0.17 -0.04 0.06 1.092549656 1.93281097 0.692729856 0.166222967 0.04423833 0

MOMENTO MAXIMO VOLTEO EN Y

2.75

448.13

163.10 > 1.2 OK

Vbasal max X =

Vbasal min X =

Vbasal max Y =

M max X =

FS =

M max Y =

M antivol Y =

FS =

M antivol X =