metrado de cargas elmer
TRANSCRIPT
11.1 DATOS GENEALES DEL PROYECTO
UBICACIÓN limaNº DE PISOS 4USO viviendaSISTEMA ESTRUCTURAL Alb confinadDEPARTAMENTO X PISO 2AREA TECHADA POR PISO 257.67
PESO DE ALBAÑILERIA 1800
ALBAÑILERIA 60
MORTERO 1:01:04 cem,cal,aren
CONCRETO 210
ACERO 4200
RESISTENCIA DE TERRENO 2.5
11.2 PARAMETROS PARA EVALUAR LA FUERZA CORTANTE EN LA BASE
Z= 0.4U= 1.0C= 2.5S= 1.2R= 6.0K= 0.2
11.5 METRADO DE CARGAS
PESO DE LA LOSA ALIGERADA 280 kg/m2 e=0.17cmPESO DE ALBAÑILERIA 1800 kg/m3PESO DE ACABADOS 100 kg/m2PESO DE CONCRETO ARMADO 2400 kg/m3SOBRECARGAS (s/c) 1 ,2,3 NIVEL 200 kg/m2 (vivienda)SOBRECARGAS (s/c) 4 NIVEL 150 kg/m2 (vivienda)
11.6 ANALISIS Y DISEÑO DE MURO
11.6.1 DENOMINACION Y LONGITUDES DE LOS MUROS EN CADA DIRECCION
solo se consideran muros portantes mayores a un metro
MURODIRECCION X
MURODIRECCION Y
t t t t 0.13 0.23 0.13 0.23
1X 4.15 1Y 8.352X 2.6 2Y 3.93X 3.6 3Y 3.454X 3.6 4Y 3.95X 2.2 5Y 2.056X 7.35 6Y 3.17X 5.75 7Y 1.758X 4 8Y 8.359X 4.15 9Y 1.75
10X 2.6 10Y 3.111X 3.6 11Y 2.0512X 3.6 12Y 3.913X 2.2 13Y 3.4514X 5.75 14Y 3.9
15Y 8.3516Y 2.917Y 2.9
27.25 27.9 23.9 43.25
11.6.2 VERIFICACION DE LA DENSIDAD DE MUROS
aplicando la formula:
PARA EDIFICIOS PARA VIVIENDAS DE 1 o 2 PISOS
http://ingenieria-civil31.blogspot.com/
Am > N Am > NAp 130 Ap 140
Am= Area en planta de muros en cada direccion en m2Ap= Area en planta de la edificacion por piso en m2N= Numero de pisos de la edificacion
EN EL EJE X
Area de muros en el eje X (Am) 9.9595
9.9595 > 4 pisos257.67 130
0.0387 > 0.0308 ok
EN EL EJE Y
Area de muros en el eje Y (Am) 13.0545
13.0545 > 4 pisos257.67 130
0.0507 > 0.0308 ok
http://ingenieria-civil31.blogspot.com/
DIRECCION ´´Y´´ PRIMER PISO 7.233125
MURO ESPESOR t (m)
1Y 0.23 1.900 3974.400 187.6632Y 0.23 3.600 3974.4003Y 0.23 3.600 3974.4004Y 0.13 3.650 2246.4005Y 0.13 3.650 2246.4006Y 0.13 0.000 2246.4007Y 0.23 1.825 3974.4008Y 0.23 3.650 3974.4009Y 0.23 1.825 3974.400
10Y 0.13 0.000 2246.40011Y 0.13 3.650 2246.40012Y 0.13 3.650 2246.40013Y 0.23 3.600 3974.40014Y 0.23 3.600 3974.40015Y 0.23 1.900 3974.40016Y 0.13 0.000 2246.40017Y 0.13 0.000 2246.400
DIRECCION ´´X´´ PRIMER PISO
MURO ESPESOR t (m)
1X 0.23 3974.4002X 0.23 3974.4003X 0.23 3974.4004X 0.23 3974.4005X 0.13 2246.4006X 0.13 2246.4007X 0.13 2246.4008X 0.13 2246.4009X 0.23 3974.400
10X 0.23 3974.400
AREA TRIBUTARIA (m2)
PESO PROPIO
MUROS (KG)
PESO ALIGERADO
e=0.17 (m2)
AREA TRIBUTARIA (m2)
PESO PROPIO
MUROS (KG)
PESO ALIGERADO
e=0.17 (m2)
11X 0.23 3974.40012X 0.23 3974.40013X 0.13 2246.40014X 0.13 2246.400
4162.0633974.4003974.4002246.4002246.4002246.4003974.4003974.4003974.4002246.4002246.4002246.4003974.4003974.4003974.4002246.4002246.400
3974.4003974.4003974.4003974.4002246.4002246.4002246.4002246.4003974.4003974.400
PESO ACABDO DE
ALIGERADO (m2)
PESO PARAPETO
(m2)
TOTAL CARGA
MUERTA P (m2)
TOTAL CARGA VIVA
(m2)
ESFUERZO ACT. POR
CARGA MUERTA (m2)
PESO ACABDO DE
ALIGERADO (m2)
PESO PARAPETO
(m2)
TOTAL CARGA
MUERTA P (m2)
TOTAL CARGA
VIVA(m2)
ESFUERZO ACT. POR
CARGA MUERTA(m2)
3974.4003974.4002246.4002246.400
ESFUERZO ACT.
POR CARGA VIVA
(m2)
ESFUERZO ACT.
TOTAL (m2)
ESFUERZO ACT.
POR CARGA VIVA
(m2)
ESFUERZO ACT.
TOTAL (m2)
11.6.7 DISTRIBUCION DE LA FUERZA CORTANTE DE NIVEL EN CADA MURO
11.6.7.1 DATOS GEOMETRICOSh1= 2.4
PISO 1 h2=muro h t e x y
1X 2.4 0.23 4.15 3.675 12.3252X 2.4 0.23 2.60 1.300 8.6753X 2.4 0.23 3.60 6.550 8.6754X 2.4 0.23 3.60 6.550 7.1755X 2.4 0.13 2.20 2.700 4.1756X 2.4 0.13 7.35 10.875 4.1757X 2.4 0.13 5.75 4.475 0.0758X 2.4 0.13 4.00 10.850 0.0759X 2.4 0.23 4.15 18.075 12.325
10X 2.4 0.23 2.60 20.450 8.67511X 2.4 0.23 3.60 15.200 8.67512X 2.4 0.23 3.60 15.200 7.17513X 2.4 0.13 2.20 19.050 4.17514X 2.4 0.13 5.75 17.275 0.0751Y 2.4 8.35 0.23 0.125 8.2752Y 2.4 3.90 0.23 3.675 10.5003Y 2.4 3.45 0.23 3.675 5.8254Y 2.4 3.90 0.13 7.275 10.5005Y 2.4 2.05 0.13 7.275 5.1256Y 2.4 3.10 0.13 7.275 1.5507Y 2.4 1.75 0.23 8.225 7.9258Y 2.4 8.35 0.23 10.875 8.2759Y 2.4 1.75 0.23 13.525 7.925
10Y 2.4 3.10 0.13 14.475 1.55011Y 2.4 2.05 0.13 14.475 5.12512Y 2.4 3.90 0.13 14.475 10.50013Y 2.4 3.45 0.23 18.075 5.82514Y 2.4 3.90 0.23 18.075 10.50015Y 2.4 8.35 0.23 21.625 8.27516Y 2.4 2.90 0.13 9.550 2.80017Y 2.4 2.90 0.13 12.200 2.800
69.77 58.26 337.1 199.725
h1= 2.4PISO 2 h2=
muro h t e x y1X 2.4 0.23 4.15 3.675 12.325
2X 2.4 0.23 2.60 1.300 8.6753X 2.4 0.23 3.60 6.550 8.6754X 2.4 0.23 3.60 6.550 7.1755X 2.4 0.13 2.20 2.700 4.1756X 2.4 0.13 7.35 10.875 4.1757X 2.4 0.13 5.75 4.475 0.0758X 2.4 0.13 4.00 10.850 0.0759X 2.4 0.23 4.15 18.075 12.325
10X 2.4 0.23 2.60 20.450 8.67511X 2.4 0.23 3.60 15.200 8.67512X 2.4 0.23 3.60 15.200 7.17513X 2.4 0.13 2.20 19.050 4.17514X 2.4 0.13 5.75 17.275 0.0751Y 2.4 8.35 0.23 0.125 8.2752Y 2.4 3.90 0.23 3.675 10.5003Y 2.4 3.45 0.23 3.675 5.8254Y 2.4 3.90 0.13 7.275 10.5005Y 2.4 2.05 0.13 7.275 5.1256Y 2.4 3.10 0.13 7.275 1.5507Y 2.4 1.75 0.23 8.225 7.9258Y 2.4 8.35 0.23 10.875 8.2759Y 2.4 1.75 0.23 13.525 7.925
10Y 2.4 3.10 0.13 14.475 1.55011Y 2.4 2.05 0.13 14.475 5.12512Y 2.4 3.90 0.13 14.475 10.50013Y 2.4 3.45 0.23 18.075 5.82514Y 2.4 3.90 0.23 18.075 10.50015Y 2.4 8.35 0.23 21.625 8.27516Y 2.4 2.90 0.13 9.550 2.80017Y 2.4 2.90 0.13 12.200 2.800
69.77 58.26 337.1 199.725
h1= 2.4PISO 3 h2=
muro h t e x y1X 2.4 0.23 4.15 3.675 12.3252X 2.4 0.23 2.60 1.300 8.6753X 2.4 0.23 3.60 6.550 8.6754X 2.4 0.23 3.60 6.550 7.1755X 2.4 0.13 2.20 2.700 4.1756X 2.4 0.13 7.35 10.875 4.1757X 2.4 0.13 5.75 4.475 0.0758X 2.4 0.13 4.00 10.850 0.0759X 2.4 0.23 4.15 18.075 12.325
10X 2.4 0.23 2.60 20.450 8.675
11X 2.4 0.23 3.60 15.200 8.67512X 2.4 0.23 3.60 15.200 7.17513X 2.4 0.13 2.20 19.050 4.17514X 2.4 0.13 5.75 17.275 0.0751Y 2.4 8.35 0.23 0.125 8.2752Y 2.4 3.90 0.23 3.675 10.5003Y 2.4 3.45 0.23 3.675 5.8254Y 2.4 3.90 0.13 7.275 10.5005Y 2.4 2.05 0.13 7.275 5.1256Y 2.4 3.10 0.13 7.275 1.5507Y 2.4 1.75 0.23 8.225 7.9258Y 2.4 8.35 0.23 10.875 8.2759Y 2.4 1.75 0.23 13.525 7.925
10Y 2.4 3.10 0.13 14.475 1.55011Y 2.4 2.05 0.13 14.475 5.12512Y 2.4 3.90 0.13 14.475 10.50013Y 2.4 3.45 0.23 18.075 5.82514Y 2.4 3.90 0.23 18.075 10.50015Y 2.4 8.35 0.23 21.625 8.27516Y 2.4 2.90 0.13 9.550 2.80017Y 2.4 2.90 0.13 12.200 2.800
69.77 58.26 337.1 199.725
h1= 2.4PISO 4 h2=
muro h t e x y1X 2.4 0.23 4.15 3.675 12.3252X 2.4 0.23 2.60 1.300 8.6753X 2.4 0.23 3.60 6.550 8.6754X 2.4 0.23 3.60 6.550 7.1755X 2.4 0.13 2.20 2.700 4.1756X 2.4 0.13 7.35 10.875 4.1757X 2.4 0.13 5.75 4.475 0.0758X 2.4 0.13 4.00 10.850 0.0759X 2.4 0.23 4.15 18.075 12.325
10X 2.4 0.23 2.60 20.450 8.67511X 2.4 0.23 3.60 15.200 8.67512X 2.4 0.23 3.60 15.200 7.17513X 2.4 0.13 2.20 19.050 4.17514X 2.4 0.13 5.75 17.275 0.0751Y 2.4 8.35 0.23 0.125 8.2752Y 2.4 3.90 0.23 3.675 10.5003Y 2.4 3.45 0.23 3.675 5.8254Y 2.4 3.90 0.13 7.275 10.5005Y 2.4 2.05 0.13 7.275 5.125
6Y 2.4 3.10 0.13 7.275 1.5507Y 2.4 1.75 0.23 8.225 7.9258Y 2.4 8.35 0.23 10.875 8.2759Y 2.4 1.75 0.23 13.525 7.925
10Y 2.4 3.10 0.13 14.475 1.55011Y 2.4 2.05 0.13 14.475 5.12512Y 2.4 3.90 0.13 14.475 10.50013Y 2.4 3.45 0.23 18.075 5.82514Y 2.4 3.90 0.23 18.075 10.50015Y 2.4 8.35 0.23 21.625 8.27516Y 2.4 2.90 0.13 9.550 2.80017Y 2.4 2.90 0.13 12.200 2.800
69.77 58.26 337.1 199.725
INSERTAR DATOSRESULTADOSRESULTADO FINAL
0.2036747 15.25125 0.845250.115 3.38 0.299
0.41847222 23.58 1.50650.41847222 23.58 1.50650.15954545 5.94 0.3510.19234694 79.93125 1.413750.10117391 25.73125 0.58175
0.352625 43.4 1.41051.00174699 75.01125 4.157251.80903846 53.17 4.70350.97111111 54.72 3.4960.97111111 54.72 3.4961.12568182 41.91 2.47650.39056522 99.33125 2.245754.53804348 0.02875 1.0437562.3152174 0.84525 14.3325
55.125 0.84525 12.67875218.25 0.94575 28.3725
114.721154 0.94575 14.91375173.480769 0.94575 22.552562.5815217 1.89175 14.39375394.809783 2.50125 90.80625102.907609 3.11075 23.66875345.173077 1.88175 44.8725228.259615 1.88175 29.67375
434.25 1.88175 56.4525271.125 4.15725 62.35875
306.48913 4.15725 70.4925785.081522 4.97375 180.56875213.038462 1.2415 27.695272.153846 1.586 35.384052.53031 633.4775 758.7455
10.873 10.8750
INSERTAR DATOSKx RESULTADOSEm RESULTADO FINAL
PISO 1 RIGIDES DE MUROS EN LA DIRECCION ´´x´´ PISO 1
Muro 3(h/l) 3(h/l) + 4(h/l)3 Muro
1X 1.7349 0.7737 2.5086 0.091685 1X2X 2.7692 3.1461 5.9153 0.038882 2X3X 2.0000 1.1852 3.1852 0.072209 3X4X 2.0000 1.1852 3.1852 0.072209 4X5X 3.2727 5.1931 8.4658 0.015356 5X6X 0.9796 0.1393 1.1189 0.116190 6X7X 1.2522 0.2909 1.5430 0.084249 7X8X 1.8000 0.8640 2.6640 0.048799 8X9X 1.7349 0.7737 2.5086 0.091685 9X
10X 2.7692 3.1461 5.9153 0.038882 10X11X 2.0000 1.1852 3.1852 0.072209 11X12X 2.0000 1.1852 3.1852 0.072209 12X13X 3.2727 5.1931 8.4658 0.015356 13X14X 1.2522 0.2909 1.5430 0.084249 14X1Y 31.3043 4544.7522 4576.0565 0.001825 1Y2Y 31.3043 4544.7522 4576.0565 0.000852 2Y3Y 31.3043 4544.7522 4576.0565 0.000754 3Y4Y 55.3846 25168.8666 25224.2513 0.000155 4Y5Y 55.3846 25168.8666 25224.2513 0.000081 5Y6Y 55.3846 25168.8666 25224.2513 0.000123 6Y7Y 31.3043 4544.7522 4576.0565 0.000382 7Y8Y 31.3043 4544.7522 4576.0565 0.001825 8Y9Y 31.3043 4544.7522 4576.0565 0.000382 9Y
10Y 55.3846 25168.8666 25224.2513 0.000123 10Y11Y 55.3846 25168.8666 25224.2513 0.000081 11Y12Y 55.3846 25168.8666 25224.2513 0.000155 12Y13Y 31.3043 4544.7522 4576.0565 0.000754 13Y14Y 31.3043 4544.7522 4576.0565 0.000852 14Y15Y 31.3043 4544.7522 4576.0565 0.001825 15Y16Y 55.3846 25168.8666 25224.2513 0.000115 16Y17Y 55.3846 25168.8666 25224.2513 0.000115 17Y
243031.908107 0.924569
PISO 2 RIGIDES DE MUROS EN LA DIRECCION ´´x´´ PISO 2
4(h/l)3 Kx/Em
Muro 3(h/l) 3(h/l) + 4(h/l)3 Muro
1X 1.7349 0.7737 2.5086 0.091685 1X2X 2.7692 3.1461 5.9153 0.038882 2X3X 2.0000 1.1852 3.1852 0.072209 3X4X 2.0000 1.1852 3.1852 0.072209 4X5X 3.2727 5.1931 8.4658 0.015356 5X6X 0.9796 0.1393 1.1189 0.116190 6X7X 1.2522 0.2909 1.5430 0.084249 7X8X 1.8000 0.8640 2.6640 0.048799 8X9X 1.7349 0.7737 2.5086 0.091685 9X
10X 2.7692 3.1461 5.9153 0.038882 10X11X 2.0000 1.1852 3.1852 0.072209 11X12X 2.0000 1.1852 3.1852 0.072209 12X13X 3.2727 5.1931 8.4658 0.015356 13X14X 1.2522 0.2909 1.5430 0.084249 14X1Y 31.3043 4544.7522 4576.0565 0.001825 1Y2Y 31.3043 4544.7522 4576.0565 0.000852 2Y3Y 31.3043 4544.7522 4576.0565 0.000754 3Y4Y 55.3846 25168.8666 25224.2513 0.000155 4Y5Y 55.3846 25168.8666 25224.2513 0.000081 5Y6Y 55.3846 25168.8666 25224.2513 0.000123 6Y7Y 31.3043 4544.7522 4576.0565 0.000382 7Y8Y 31.3043 4544.7522 4576.0565 0.001825 8Y9Y 31.3043 4544.7522 4576.0565 0.000382 9Y
10Y 55.3846 25168.8666 25224.2513 0.000123 10Y11Y 55.3846 25168.8666 25224.2513 0.000081 11Y12Y 55.3846 25168.8666 25224.2513 0.000155 12Y13Y 31.3043 4544.7522 4576.0565 0.000754 13Y14Y 31.3043 4544.7522 4576.0565 0.000852 14Y15Y 31.3043 4544.7522 4576.0565 0.001825 15Y16Y 55.3846 25168.8666 25224.2513 0.000115 16Y17Y 55.3846 25168.8666 25224.2513 0.000115 17Y
0.924569
PISO 3 RIGIDES DE MUROS EN LA DIRECCION ´´x´´ PISO 3
Muro 3(h/l) 3(h/l) + 4(h/l)3 Muro
1X 1.7349 0.7737 2.5086 0.091685 1X2X 2.7692 3.1461 5.9153 0.038882 2X3X 2.0000 1.1852 3.1852 0.072209 3X4X 2.0000 1.1852 3.1852 0.072209 4X5X 3.2727 5.1931 8.4658 0.015356 5X
4(h/l)3 Kx/Em
4(h/l)3 Kx/Em
6X 0.9796 0.1393 1.1189 0.116190 6X7X 1.2522 0.2909 1.5430 0.084249 7X8X 1.8000 0.8640 2.6640 0.048799 8X9X 1.7349 0.7737 2.5086 0.091685 9X
10X 2.7692 3.1461 5.9153 0.038882 10X11X 2.0000 1.1852 3.1852 0.072209 11X12X 2.0000 1.1852 3.1852 0.072209 12X13X 3.2727 5.1931 8.4658 0.015356 13X14X 1.2522 0.2909 1.5430 0.084249 14X1Y 31.3043 4544.7522 4576.0565 0.001825 1Y2Y 31.3043 4544.7522 4576.0565 0.000852 2Y3Y 31.3043 4544.7522 4576.0565 0.000754 3Y4Y 55.3846 25168.8666 25224.2513 0.000155 4Y5Y 55.3846 25168.8666 25224.2513 0.000081 5Y6Y 55.3846 25168.8666 25224.2513 0.000123 6Y7Y 31.3043 4544.7522 4576.0565 0.000382 7Y8Y 31.3043 4544.7522 4576.0565 0.001825 8Y9Y 31.3043 4544.7522 4576.0565 0.000382 9Y
10Y 55.3846 25168.8666 25224.2513 0.000123 10Y11Y 55.3846 25168.8666 25224.2513 0.000081 11Y12Y 55.3846 25168.8666 25224.2513 0.000155 12Y13Y 31.3043 4544.7522 4576.0565 0.000754 13Y14Y 31.3043 4544.7522 4576.0565 0.000852 14Y15Y 31.3043 4544.7522 4576.0565 0.001825 15Y16Y 55.3846 25168.8666 25224.2513 0.000115 16Y17Y 55.3846 25168.8666 25224.2513 0.000115 17Y
0.924569
PISO 4 RIGIDES DE MUROS EN LA DIRECCION ´´x´´ PISO 4
Muro 3(h/l) 3(h/l) + 4(h/l)3 Muro
1X 1.7349 0.7737 2.5086 0.091685 1X2X 2.7692 3.1461 5.9153 0.038882 2X3X 2.0000 1.1852 3.1852 0.072209 3X4X 2.0000 1.1852 3.1852 0.072209 4X5X 3.2727 5.1931 8.4658 0.015356 5X6X 0.9796 0.1393 1.1189 0.116190 6X7X 1.2522 0.2909 1.5430 0.084249 7X8X 1.8000 0.8640 2.6640 0.048799 8X9X 1.7349 0.7737 2.5086 0.091685 9X
10X 2.7692 3.1461 5.9153 0.038882 10X11X 2.0000 1.1852 3.1852 0.072209 11X12X 2.0000 1.1852 3.1852 0.072209 12X13X 3.2727 5.1931 8.4658 0.015356 13X
4(h/l)3 Kx/Em
14X 1.2522 0.2909 1.5430 0.084249 14X1Y 31.3043 4544.7522 4576.0565 0.001825 1Y2Y 31.3043 4544.7522 4576.0565 0.000852 2Y3Y 31.3043 4544.7522 4576.0565 0.000754 3Y4Y 55.3846 25168.8666 25224.2513 0.000155 4Y5Y 55.3846 25168.8666 25224.2513 0.000081 5Y6Y 55.3846 25168.8666 25224.2513 0.000123 6Y7Y 31.3043 4544.7522 4576.0565 0.000382 7Y8Y 31.3043 4544.7522 4576.0565 0.001825 8Y9Y 31.3043 4544.7522 4576.0565 0.000382 9Y
10Y 55.3846 25168.8666 25224.2513 0.000123 10Y11Y 55.3846 25168.8666 25224.2513 0.000081 11Y12Y 55.3846 25168.8666 25224.2513 0.000155 12Y13Y 31.3043 4544.7522 4576.0565 0.000754 13Y14Y 31.3043 4544.7522 4576.0565 0.000852 14Y15Y 31.3043 4544.7522 4576.0565 0.001825 15Y16Y 55.3846 25168.8666 25224.2513 0.000115 16Y17Y 55.3846 25168.8666 25224.2513 0.000115 17Y
0.924569
INSERTAR DATOSRESULTADOSRESULTADO FINAL
RIGIDES DE MUROS EN LA DIRECCION ´´y´´
3(h/l) 3(h/l) + 4(h/l)3
31.304 4544.752 4576.0565 0.000907 9.21909942 56399.896931.304 4544.752 4576.0565 0.000568 7.68994083 39697.290531.304 4544.752 4576.0565 0.000787 20.862963 39697.290531.304 4544.752 4576.0565 0.000787 20.862963 32833.205755.385 25168.867 25224.2513 0.000087 22.857701 105311.24955.385 25168.867 25224.2513 0.000291 12.1675322 105311.24955.385 25168.867 25224.2513 0.000228 6.90509529 1891.8188455.385 25168.867 25224.2513 0.000159 28.9044 1891.8188431.304 4544.752 4576.0565 0.000907 45.3429176 56399.896931.304 4544.752 4576.0565 0.000568 120.968685 39697.290531.304 4544.752 4576.0565 0.000787 48.4148148 39697.290531.304 4544.752 4576.0565 0.000787 48.4148148 32833.205755.385 25168.867 25224.2513 0.000087 161.273779 105311.24955.385 25168.867 25224.2513 0.000228 26.6559824 1891.818840.862 0.0950 0.9573 0.240270 572.007068 7.921292691.846 0.9322 2.7783 0.082783 16817.0078 29.1725082.087 1.3466 3.4335 0.066986 16817.0078 20.00042741.846 0.9322 2.7783 0.046791 183506.428 29.1725083.512 6.4185 9.9307 0.013091 183506.428 50.89470552.323 1.8561 4.1787 0.031110 183506.428 6.477003124.114 10.3176 14.4319 0.015937 37638.0651 114.3728610.862 0.0950 0.9573 0.240270 49764.6149 7.921292694.114 10.3176 14.4319 0.015937 61891.1648 114.3728612.323 1.8561 4.1787 0.031110 365121.037 6.477003123.512 6.4185 9.9307 0.013091 365121.037 50.89470551.846 0.9322 2.7783 0.046791 365121.037 29.1725082.087 1.3466 3.4335 0.066986 82712.2221 20.00042741.846 0.9322 2.7783 0.082783 82712.2221 29.1725080.862 0.0950 0.9573 0.240270 98957.2228 7.921292692.483 2.2673 4.7500 0.027368 240891.599 13.30002872.483 2.2673 4.7500 0.027368 307735.865 13.3000287
188041.394691 1.296120 2642971.93 659415.115
RIGIDES DE MUROS EN LA DIRECCION ´´y´´
4(h/l)3 Kx/Em
3.5068
3(h/l) 3(h/l) + 4(h/l)3
31.304 4544.7522 4576.0565 0.000907 10.875031.304 4544.7522 4576.0565 0.00056831.304 4544.7522 4576.0565 0.00078731.304 4544.7522 4576.0565 0.00078755.385 25168.8666 25224.2513 0.00008755.385 25168.8666 25224.2513 0.00029155.385 25168.8666 25224.2513 0.00022855.385 25168.8666 25224.2513 0.00015931.304 4544.7522 4576.0565 0.00090731.304 4544.7522 4576.0565 0.00056831.304 4544.7522 4576.0565 0.00078731.304 4544.7522 4576.0565 0.00078755.385 25168.8666 25224.2513 0.00008755.385 25168.8666 25224.2513 0.0002280.862 0.0950 0.9573 0.2402701.846 0.9322 2.7783 0.0827832.087 1.3466 3.4335 0.0669861.846 0.9322 2.7783 0.0467913.512 6.4185 9.9307 0.0130912.323 1.8561 4.1787 0.0311104.114 10.3176 14.4319 0.0159370.862 0.0950 0.9573 0.2402704.114 10.3176 14.4319 0.0159372.323 1.8561 4.1787 0.0311103.512 6.4185 9.9307 0.0130911.846 0.9322 2.7783 0.0467912.087 1.3466 3.4335 0.0669861.846 0.9322 2.7783 0.0827830.862 0.0950 0.9573 0.2402702.483 2.2673 4.7500 0.0273682.483 2.2673 4.7500 0.027368
1.296120
RIGIDES DE MUROS EN LA DIRECCION ´´y´´
3(h/l) 3(h/l) + 4(h/l)3
31.304 4544.7522 4576.0565 0.00090731.304 4544.7522 4576.0565 0.00056831.304 4544.7522 4576.0565 0.00078731.304 4544.7522 4576.0565 0.00078755.385 25168.8666 25224.2513 0.000087
4(h/l)3 Kx/Em
4(h/l)3 Kx/Em
55.385 25168.8666 25224.2513 0.00029155.385 25168.8666 25224.2513 0.00022855.385 25168.8666 25224.2513 0.00015931.304 4544.7522 4576.0565 0.00090731.304 4544.7522 4576.0565 0.00056831.304 4544.7522 4576.0565 0.00078731.304 4544.7522 4576.0565 0.00078755.385 25168.8666 25224.2513 0.00008755.385 25168.8666 25224.2513 0.0002280.862 0.0950 0.9573 0.2402701.846 0.9322 2.7783 0.0827832.087 1.3466 3.4335 0.0669861.846 0.9322 2.7783 0.0467913.512 6.4185 9.9307 0.0130912.323 1.8561 4.1787 0.0311104.114 10.3176 14.4319 0.0159370.862 0.0950 0.9573 0.2402704.114 10.3176 14.4319 0.0159372.323 1.8561 4.1787 0.0311103.512 6.4185 9.9307 0.0130911.846 0.9322 2.7783 0.0467912.087 1.3466 3.4335 0.0669861.846 0.9322 2.7783 0.0827830.862 0.0950 0.9573 0.2402702.483 2.2673 4.7500 0.0273682.483 2.2673 4.7500 0.027368
1.296120
RIGIDES DE MUROS EN LA DIRECCION ´´y´´
3(h/l) 3(h/l) + 4(h/l)3
31.304 4544.7522 4576.0565 0.00090731.304 4544.7522 4576.0565 0.00056831.304 4544.7522 4576.0565 0.00078731.304 4544.7522 4576.0565 0.00078755.385 25168.8666 25224.2513 0.00008755.385 25168.8666 25224.2513 0.00029155.385 25168.8666 25224.2513 0.00022855.385 25168.8666 25224.2513 0.00015931.304 4544.7522 4576.0565 0.00090731.304 4544.7522 4576.0565 0.00056831.304 4544.7522 4576.0565 0.00078731.304 4544.7522 4576.0565 0.00078755.385 25168.8666 25224.2513 0.000087
4(h/l)3 Kx/Em
55.385 25168.8666 25224.2513 0.0002280.862 0.0950 0.9573 0.2402701.846 0.9322 2.7783 0.0827832.087 1.3466 3.4335 0.0669861.846 0.9322 2.7783 0.0467913.512 6.4185 9.9307 0.0130912.323 1.8561 4.1787 0.0311104.114 10.3176 14.4319 0.0159370.862 0.0950 0.9573 0.2402704.114 10.3176 14.4319 0.0159372.323 1.8561 4.1787 0.0311103.512 6.4185 9.9307 0.0130911.846 0.9322 2.7783 0.0467912.087 1.3466 3.4335 0.0669861.846 0.9322 2.7783 0.0827830.862 0.0950 0.9573 0.2402702.483 2.2673 4.7500 0.0273682.483 2.2673 4.7500 0.027368
1.296120
PISO 1: CORTANTES DE TRASLACION EN LA DIRECCION ¨X¨ PISO 1:
Muro % de Absorcion Muro1X 20 100.00% 1X2X 0.00% 2X3X 0.00% 3X4X 0.00% 4X5X 0.00% 5X6X 0.00% 6X7X 0.00% 7X8X 0.00% 8X9X 0.00% 9X
10X 0.00% 10X11X 0.00% 11X12X 0.00% 12X13X 0.00% 13X14X 0.00% 14X1Y 0.00% 1Y2Y 0.00% 2Y3Y 0.00% 3Y4Y 0.00% 4Y5Y 0.00% 5Y6Y 0.00% 6Y7Y 0.00% 7Y8Y 0.00% 8Y9Y 0.00% 9Y
10Y 0.00% 10Y11Y 0.00% 11Y12Y 0.00% 12Y13Y 0.00% 13Y14Y 0.00% 14Y15Y 0.00% 15Y16Y 0.00% 16Y17Y 0.00% 17Y
∑= 100.00%
PISO 2: CORTANTES DE TRASLACION EN LA DIRECCION ¨X¨ PISO 2:
Muro % de Absorcion Muro1X 4 100.00% 1X2X 0.00% 2X3X 0.00% 3X
CALCULO DE CORTANTES DE TRASLACION EN LA DIRECCION ´´x´´ (Vtras)
CALCULO DE CORTANTES DE TRASLACION EN LA DIRECCION ´´y´´ (Vtras)
Vx1= Vy1=Vtras=Vx1(Kix/∑Kix)
Vx2= Vy2=Vtras=Vx2(Kix/∑Kix)
4X 0.00% 4X5X 0.00% 5X6X 0.00% 6X7X 0.00% 7X8X 0.00% 8X9X 0.00% 9X
10X 0.00% 10X11X 0.00% 11X12X 0.00% 12X13X 0.00% 13X14X 0.00% 14X1Y 0.00% 1Y2Y 0.00% 2Y3Y 0.00% 3Y4Y 0.00% 4Y5Y 0.00% 5Y6Y 0.00% 6Y7Y 0.00% 7Y8Y 0.00% 8Y9Y 0.00% 9Y
10Y 0.00% 10Y11Y 0.00% 11Y12Y 0.00% 12Y13Y 0.00% 13Y14Y 0.00% 14Y15Y 0.00% 15Y16Y 0.00% 16Y17Y 0.00% 17Y
∑= 100.00%
PISO 3 CORTANTES DE TRASLACION EN LA DIRECCION ¨X¨ PISO 3:
Muro % de Absorcion Muro1X 4 100.00% 1X2X 0.00% 2X3X 0.00% 3X4X 0.00% 4X5X 0.00% 5X6X 0.00% 6X7X 0.00% 7X8X 0.00% 8X9X 0.00% 9X
10X 0.00% 10X11X 0.00% 11X12X 0.00% 12X13X 0.00% 13X
Vx3= Vy3=Vtras=Vx3(Kix/∑Kix)
14X 0.00% 14X1Y 0.00% 1Y2Y 0.00% 2Y3Y 0.00% 3Y4Y 0.00% 4Y5Y 0.00% 5Y6Y 0.00% 6Y7Y 0.00% 7Y8Y 0.00% 8Y9Y 0.00% 9Y
10Y 0.00% 10Y11Y 0.00% 11Y12Y 0.00% 12Y13Y 0.00% 13Y14Y 0.00% 14Y15Y 0.00% 15Y16Y 0.00% 16Y17Y 0.00% 17Y
∑= 100.00%
PISO 4 CORTANTES DE TRASLACION EN LA DIRECCION ¨X¨ PISO 4:
Muro % de Absorcion Muro1X 4 100.00% 1X2X 0.00% 2X3X 0.00% 3X4X 0.00% 4X5X 0.00% 5X6X 0.00% 6X7X 0.00% 7X8X 0.00% 8X9X 0.00% 9X
10X 0.00% 10X11X 0.00% 11X12X 0.00% 12X13X 0.00% 13X14X 0.00% 14X1Y 0.00% 1Y2Y 0.00% 2Y3Y 0.00% 3Y4Y 0.00% 4Y5Y 0.00% 5Y6Y 0.00% 6Y7Y 0.00% 7Y8Y 0.00% 8Y9Y 0.00% 9Y
Vx4= Vy4=Vtras=Vx4(Kix/∑Kix)
10Y 0.00% 10Y11Y 0.00% 11Y12Y 0.00% 12Y13Y 0.00% 13Y14Y 0.00% 14Y15Y 0.00% 15Y16Y 0.00% 16Y17Y 0.00% 17Y
∑= 100.00%
INSERTAR DATOSRESULTADOSRESULTADO FINAL
CORTANTES DE TRASLACION EN LA DIRECCION ¨y¨
% de Absorcion9 100.00%
0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%
∑= 100.00%
CORTANTES DE TRASLACION EN LA DIRECCION ¨y¨
% de Absorcion4 100.00%
0.00%0.00%
CALCULO DE CORTANTES DE TRASLACION EN LA DIRECCION ´´y´´ (Vtras)
Vtras=Vy1(Kiy/∑Kiy)
Vtras=Vy2(Kiy/∑Kiy)
0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%
∑= 100.00%
CORTANTES DE TRASLACION EN LA DIRECCION ¨y¨
% de Absorcion4 100.00%
0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%
Vtras=Vy3(Kiy/∑Kiy)
0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%
∑= 100.00%
CORTANTES DE TRASLACION EN LA DIRECCION ¨y¨
% de Absorcion4 100.00%
0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%
Vtras=Vy4(Kiy/∑Kiy)
0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%
∑= 100.00%
11.6.8 CORRECCION POR TORSIONRECORDANDO
11.6.8.1 CALCULO DEL CENTRO DE RIGIDEZ
PISO 1: CENTRO DE RIGIDEZ
Muro
1X 0.091685 0.000907 1.130013 0.0033332X 0.038882 0.000568 0.337301 0.0007393X 0.072209 0.000787 0.626416 0.0051534X 0.072209 0.000787 0.518102 0.0051535X 0.015356 0.000087 0.064111 0.0002356X 0.116190 0.000291 0.485095 0.0031697X 0.084249 0.000228 0.006319 0.0010208X 0.048799 0.000159 0.003660 0.0017219X 0.091685 0.000907 1.130013 0.016392
10X 0.038882 0.000568 0.337301 0.01161911X 0.072209 0.000787 0.626416 0.01195812X 0.072209 0.000787 0.518102 0.01195813X 0.015356 0.000087 0.064111 0.00166114X 0.084249 0.000228 0.006319 0.0039381Y 0.001825 0.240270 0.015100 0.0300342Y 0.000852 0.082783 0.008949 0.3042293Y 0.000754 0.066986 0.004392 0.2461744Y 0.000155 0.046791 0.001623 0.3404025Y 0.000081 0.013091 0.000417 0.0952356Y 0.000123 0.031110 0.000190 0.2263267Y 0.000382 0.015937 0.003031 0.1310818Y 0.001825 0.240270 0.015100 2.6129389Y 0.000382 0.015937 0.003031 0.215547
10Y 0.000123 0.031110 0.000190 0.45031811Y 0.000081 0.013091 0.000417 0.18948912Y 0.000155 0.046791 0.001623 0.67729413Y 0.000754 0.066986 0.004392 1.21077314Y 0.000852 0.082783 0.008949 1.49631015Y 0.001825 0.240270 0.015100 5.19584116Y 0.000115 0.027368 0.000322 0.26136817Y 0.000115 0.027368 0.000322 0.333894
0.924569 1.296120 5.93642291 14.095302
10.8756.4207
PISO 2: CENTRO DE RIGIDEZ
XC=
Kx/Em KY/Em Y.Kx/Em X.Kx/Em
Xcr=ycr=
Muro1X 0.09168 0.00091 1.130013 0.0033332X 0.03888 0.00057 0.337301 0.0007393X 0.07221 0.00079 0.626416 0.0051534X 0.07221 0.00079 0.518102 0.0051535X 0.01536 0.00009 0.064111 0.0002356X 0.11619 0.00029 0.485095 0.0031697X 0.08425 0.00023 0.006319 0.0010208X 0.04880 0.00016 0.003660 0.0017219X 0.09168 0.00091 1.130013 0.016392
10X 0.03888 0.00057 0.337301 0.01161911X 0.07221 0.00079 0.626416 0.01195812X 0.07221 0.00079 0.518102 0.01195813X 0.01536 0.00009 0.064111 0.00166114X 0.08425 0.00023 0.006319 0.0039381Y 0.00182 0.24027 0.015100 0.0300342Y 0.00085 0.08278 0.008949 0.3042293Y 0.00075 0.06699 0.004392 0.2461744Y 0.00015 0.04679 0.001623 0.3404025Y 0.00008 0.01309 0.000417 0.0952356Y 0.00012 0.03111 0.000190 0.2263267Y 0.00038 0.01594 0.003031 0.1310818Y 0.00182 0.24027 0.015100 2.6129389Y 0.00038 0.01594 0.003031 0.215547
10Y 0.00012 0.03111 0.000190 0.45031811Y 0.00008 0.01309 0.000417 0.18948912Y 0.00015 0.04679 0.001623 0.67729413Y 0.00075 0.06699 0.004392 1.21077314Y 0.00085 0.08278 0.008949 1.49631015Y 0.00182 0.24027 0.015100 5.19584116Y 0.00011 0.02737 0.000322 0.26136817Y 0.00011 0.02737 0.000322 0.333894
0.92457 1.29612 5.93642291 14.095301722
10.8756.4207
PISO 3: CENTRO DE RIGIDEZ
Muro1X 0.091685 0.000907 1.130013 0.0033332X 0.038882 0.000568 0.337301 0.0007393X 0.072209 0.000787 0.626416 0.0051534X 0.072209 0.000787 0.518102 0.0051535X 0.015356 0.000087 0.064111 0.0002356X 0.116190 0.000291 0.485095 0.0031697X 0.084249 0.000228 0.006319 0.001020
Kx/Em KY/Em Y.Kx/Em X.Kx/Em
Xcr=ycr=
Kx/Em KY/Em Y.Kx/Em X.Kx/Em
8X 0.048799 0.000159 0.003660 0.0017219X 0.091685 0.000907 1.130013 0.016392
10X 0.038882 0.000568 0.337301 0.01161911X 0.072209 0.000787 0.626416 0.01195812X 0.072209 0.000787 0.518102 0.01195813X 0.015356 0.000087 0.064111 0.00166114X 0.084249 0.000228 0.006319 0.0039381Y 0.001825 0.240270 0.015100 0.0300342Y 0.000852 0.082783 0.008949 0.3042293Y 0.000754 0.066986 0.004392 0.2461744Y 0.000155 0.046791 0.001623 0.3404025Y 0.000081 0.013091 0.000417 0.0952356Y 0.000123 0.031110 0.000190 0.2263267Y 0.000382 0.015937 0.003031 0.1310818Y 0.001825 0.240270 0.015100 2.6129389Y 0.000382 0.015937 0.003031 0.215547
10Y 0.000123 0.031110 0.000190 0.45031811Y 0.000081 0.013091 0.000417 0.18948912Y 0.000155 0.046791 0.001623 0.67729413Y 0.000754 0.066986 0.004392 1.21077314Y 0.000852 0.082783 0.008949 1.49631015Y 0.001825 0.240270 0.015100 5.19584116Y 0.000115 0.027368 0.000322 0.26136817Y 0.000115 0.027368 0.000322 0.333894
0.924569 1.29612006 5.93642291 14.095301722
10.8756.4207
PISO 4: CENTRO DE RIGIDEZ
Muro1X 0.091685 0.000907 1.130013 0.0033332X 0.038882 0.000568 0.337301 0.0007393X 0.072209 0.000787 0.626416 0.0051534X 0.072209 0.000787 0.518102 0.0051535X 0.015356 0.000087 0.064111 0.0002356X 0.116190 0.000291 0.485095 0.0031697X 0.084249 0.000228 0.006319 0.0010208X 0.048799 0.000159 0.003660 0.0017219X 0.091685 0.000907 1.130013 0.016392
10X 0.038882 0.000568 0.337301 0.01161911X 0.072209 0.000787 0.626416 0.01195812X 0.072209 0.000787 0.518102 0.01195813X 0.015356 0.000087 0.064111 0.00166114X 0.084249 0.000228 0.006319 0.0039381Y 0.001825 0.240270 0.015100 0.030034
Xcr=ycr=
Kx/Em KY/Em Y.Kx/Em X.Kx/Em
2Y 0.000852 0.082783 0.008949 0.3042293Y 0.000754 0.066986 0.004392 0.2461744Y 0.000155 0.046791 0.001623 0.3404025Y 0.000081 0.013091 0.000417 0.0952356Y 0.000123 0.031110 0.000190 0.2263267Y 0.000382 0.015937 0.003031 0.1310818Y 0.001825 0.240270 0.015100 2.6129389Y 0.000382 0.015937 0.003031 0.215547
10Y 0.000123 0.031110 0.000190 0.45031811Y 0.000081 0.013091 0.000417 0.18948912Y 0.000155 0.046791 0.001623 0.67729413Y 0.000754 0.066986 0.004392 1.21077314Y 0.000852 0.082783 0.008949 1.49631015Y 0.001825 0.240270 0.015100 5.19584116Y 0.000115 0.027368 0.000322 0.26136817Y 0.000115 0.027368 0.000322 0.333894
0.924569 1.29612006 5.93642291 14.095301722
10.8756.4207
Xcr=ycr=
INSERTAR DATOSRESULTADOSRESULTADO FINAL
∑(Kix.Xi)∑kiy
RECORDANDO
11.6.8.2 CALCULO DEL CENTRO DE MASA (C.M)
PISO 1: CENTRO DE MASA
Muro L h t ym peso ´´P´´ x
1X 4.15 2.4 0.23 1800 4123.440 3.6752X 2.60 2.4 0.23 1800 2583.360 1.3003X 3.60 2.4 0.23 1800 3576.960 6.5504X 3.60 2.4 0.23 1800 3576.960 6.5505X 2.20 2.4 0.13 1800 1235.520 2.7006X 7.35 2.4 0.13 1800 4127.760 10.8757X 5.75 2.4 0.13 1800 3229.200 4.4758X 4.00 2.4 0.13 1800 2246.400 10.8509X 4.15 2.4 0.23 1800 4123.440 18.075
10X 2.60 2.4 0.23 1800 2583.360 20.45011X 3.60 2.4 0.23 1800 3576.960 15.20012X 3.60 2.4 0.23 1800 3576.960 15.20013X 2.20 2.4 0.13 1800 1235.520 19.05014X 5.75 2.4 0.13 1800 3229.200 17.2751Y 0.23 2.4 8.35 1800 8296.560 0.1252Y 0.23 2.4 3.90 1800 3875.040 3.6753Y 0.23 2.4 3.45 1800 3427.920 3.6754Y 0.13 2.4 3.90 1800 2190.240 7.2755Y 0.13 2.4 2.05 1800 1151.280 7.2756Y 0.13 2.4 3.10 1800 1740.960 7.2757Y 0.23 2.4 1.75 1800 1738.800 8.2258Y 0.23 2.4 8.35 1800 8296.560 10.8759Y 0.23 2.4 1.75 1800 1738.800 13.525
10Y 0.13 2.4 3.10 1800 1740.960 14.47511Y 0.13 2.4 2.05 1800 1151.280 14.47512Y 0.13 2.4 3.90 1800 2190.240 14.47513Y 0.23 2.4 3.45 1800 3427.920 18.07514Y 0.23 2.4 3.90 1800 3875.040 18.07515Y 0.23 2.4 8.35 1800 8296.560 21.62516Y 0.13 2.4 2.90 1800 1628.640 9.55017Y 0.13 2.4 2.90 1800 1628.640 12.200
∑= 99420.48
10.87443517.19371687
Xcm=
Xcm=ycm=
PISO 2: CENTRO DE MASA
Muro l h t ym peso ´´P´´ x
1X 4.15 2.4 0.23 1800 4123.440 3.6752X 2.60 2.4 0.23 1800 2583.360 1.3003X 3.60 2.4 0.23 1800 3576.960 6.5504X 3.60 2.4 0.23 1800 3576.960 6.5505X 2.20 2.4 0.13 1800 1235.520 2.7006X 7.35 2.4 0.13 1800 4127.760 10.8757X 5.75 2.4 0.13 1800 3229.200 4.4758X 4.00 2.4 0.13 1800 2246.400 10.8509X 4.15 2.4 0.23 1800 4123.440 18.075
10X 2.60 2.4 0.23 1800 2583.360 20.45011X 3.60 2.4 0.23 1800 3576.960 15.20012X 3.60 2.4 0.23 1800 3576.960 15.20013X 2.20 2.4 0.13 1800 1235.520 19.05014X 5.75 2.4 0.13 1800 3229.200 17.2751Y 0.23 2.4 8.35 1800 8296.560 0.1252Y 0.23 2.4 3.90 1800 3875.040 3.6753Y 0.23 2.4 3.45 1800 3427.920 3.6754Y 0.13 2.4 3.90 1800 2190.240 7.2755Y 0.13 2.4 2.05 1800 1151.280 7.2756Y 0.13 2.4 3.10 1800 1740.960 7.2757Y 0.23 2.4 1.75 1800 1738.800 8.2258Y 0.23 2.4 8.35 1800 8296.560 10.8759Y 0.23 2.4 1.75 1800 1738.800 13.525
10Y 0.13 2.4 3.10 1800 1740.960 14.47511Y 0.13 2.4 2.05 1800 1151.280 14.47512Y 0.13 2.4 3.90 1800 2190.240 14.47513Y 0.23 2.4 3.45 1800 3427.920 18.07514Y 0.23 2.4 3.90 1800 3875.040 18.07515Y 0.23 2.4 8.35 1800 8296.560 21.62516Y 0.13 2.4 2.90 1800 1628.640 9.55017Y 0.13 2.4 2.90 1800 1628.640 12.200
∑= 99420.48
10.87443517.19371687
PISO 3: CENTRO DE MASA
Muro l h t ym peso ´´P´´ x
1X 4.15 2.4 0.23 1800 4123.440 3.6752X 2.60 2.4 0.23 1800 2583.360 1.300
Xcm=ycm=
3X 3.60 2.4 0.23 1800 3576.960 6.5504X 3.60 2.4 0.23 1800 3576.960 6.5505X 2.20 2.4 0.13 1800 1235.520 2.7006X 7.35 2.4 0.13 1800 4127.760 10.8757X 5.75 2.4 0.13 1800 3229.200 4.4758X 4.00 2.4 0.13 1800 2246.400 10.8509X 4.15 2.4 0.23 1800 4123.440 18.075
10X 2.60 2.4 0.23 1800 2583.360 20.45011X 3.60 2.4 0.23 1800 3576.960 15.20012X 3.60 2.4 0.23 1800 3576.960 15.20013X 2.20 2.4 0.13 1800 1235.520 19.05014X 5.75 2.4 0.13 1800 3229.200 17.2751Y 0.23 2.4 8.35 1800 8296.560 0.1252Y 0.23 2.4 3.90 1800 3875.040 3.6753Y 0.23 2.4 3.45 1800 3427.920 3.6754Y 0.13 2.4 3.90 1800 2190.240 7.2755Y 0.13 2.4 2.05 1800 1151.280 7.2756Y 0.13 2.4 3.10 1800 1740.960 7.2757Y 0.23 2.4 1.75 1800 1738.800 8.2258Y 0.23 2.4 8.35 1800 8296.560 10.8759Y 0.23 2.4 1.75 1800 1738.800 13.525
10Y 0.13 2.4 3.10 1800 1740.960 14.47511Y 0.13 2.4 2.05 1800 1151.280 14.47512Y 0.13 2.4 3.90 1800 2190.240 14.47513Y 0.23 2.4 3.45 1800 3427.920 18.07514Y 0.23 2.4 3.90 1800 3875.040 18.07515Y 0.23 2.4 8.35 1800 8296.560 21.62516Y 0.13 2.4 2.90 1800 1628.640 9.55017Y 0.13 2.4 2.90 1800 1628.640 12.200
∑= 99420.48
10.87443517.19371687
PISO 4: CENTRO DE MASA
Muro l h t ym peso ´´P´´ x
1X 4.15 2.4 0.23 1800 4123.440 3.6752X 2.60 2.4 0.23 1800 2583.360 1.3003X 3.60 2.4 0.23 1800 3576.960 6.5504X 3.60 2.4 0.23 1800 3576.960 6.5505X 2.20 2.4 0.13 1800 1235.520 2.7006X 7.35 2.4 0.13 1800 4127.760 10.8757X 5.75 2.4 0.13 1800 3229.200 4.475
Xcm=ycm=
8X 4.00 2.4 0.13 1800 2246.400 10.8509X 4.15 2.4 0.23 1800 4123.440 18.075
10X 2.60 2.4 0.23 1800 2583.360 20.45011X 3.60 2.4 0.23 1800 3576.960 15.20012X 3.60 2.4 0.23 1800 3576.960 15.20013X 2.20 2.4 0.13 1800 1235.520 19.05014X 5.75 2.4 0.13 1800 3229.200 17.2751Y 0.23 2.4 8.35 1800 8296.560 0.1252Y 0.23 2.4 3.90 1800 3875.040 3.6753Y 0.23 2.4 3.45 1800 3427.920 3.6754Y 0.13 2.4 3.90 1800 2190.240 7.2755Y 0.13 2.4 2.05 1800 1151.280 7.2756Y 0.13 2.4 3.10 1800 1740.960 7.2757Y 0.23 2.4 1.75 1800 1738.800 8.2258Y 0.23 2.4 8.35 1800 8296.560 10.8759Y 0.23 2.4 1.75 1800 1738.800 13.525
10Y 0.13 2.4 3.10 1800 1740.960 14.47511Y 0.13 2.4 2.05 1800 1151.280 14.47512Y 0.13 2.4 3.90 1800 2190.240 14.47513Y 0.23 2.4 3.45 1800 3427.920 18.07514Y 0.23 2.4 3.90 1800 3875.040 18.07515Y 0.23 2.4 8.35 1800 8296.560 21.62516Y 0.13 2.4 2.90 1800 1628.640 9.55017Y 0.13 2.4 2.90 1800 1628.640 12.200
∑= 99420.48
10.87443517.19371687
Xcm=ycm=
INSERTAR DATOSRESULTADOSRESULTADO FINAL
y p.x p.y
12.325 15153.642 50821.3988.675 3358.368 22410.6488.675 23429.088 31030.1287.175 23429.088 25664.6884.175 3335.904 5158.2964.175 44889.390 17233.3980.075 14450.670 242.1900.075 24373.440 168.480
12.325 74531.178 50821.3988.675 52829.712 22410.6488.675 54369.792 31030.1287.175 54369.792 25664.6884.175 23536.656 5158.2960.075 55784.430 242.1908.275 1037.070 68654.034
10.500 14240.772 40687.9205.825 12597.606 19967.634
10.500 15933.996 22997.5205.125 8375.562 5900.3101.550 12665.484 2698.4887.925 14301.630 13779.9908.275 90225.090 68654.0347.925 23517.270 13779.9901.550 25200.396 2698.4885.125 16664.778 5900.310
10.500 31703.724 22997.5205.825 61959.654 19967.634
10.500 70041.348 40687.9208.275 179413.110 68654.0342.800 15553.512 4560.1922.800 19869.408 4560.192
∑= 1081141.6 715202.784
∑Pi.Xi ycm = ∑Pi.Yi
∑Pi ∑Pi
y p.x p.y
12.325 15153.642 50821.3988.675 3358.368 22410.6488.675 23429.088 31030.1287.175 23429.088 25664.6884.175 3335.904 5158.2964.175 44889.390 17233.3980.075 14450.670 242.1900.075 24373.440 168.480
12.325 74531.178 50821.3988.675 52829.712 22410.6488.675 54369.792 31030.1287.175 54369.792 25664.6884.175 23536.656 5158.2960.075 55784.430 242.1908.275 1037.070 68654.034
10.500 14240.772 40687.9205.825 12597.606 19967.634
10.500 15933.996 22997.5205.125 8375.562 5900.3101.550 12665.484 2698.4887.925 14301.630 13779.9908.275 90225.090 68654.0347.925 23517.270 13779.9901.550 25200.396 2698.4885.125 16664.778 5900.310
10.500 31703.724 22997.5205.825 61959.654 19967.634
10.500 70041.348 40687.9208.275 179413.110 68654.0342.800 15553.512 4560.1922.800 19869.408 4560.192
∑= 1081141.56 715202.784
y p.x p.y
12.325 15153.642 50821.3988.675 3358.368 22410.648
8.675 23429.088 31030.1287.175 23429.088 25664.6884.175 3335.904 5158.2964.175 44889.390 17233.3980.075 14450.670 242.1900.075 24373.440 168.480
12.325 74531.178 50821.3988.675 52829.712 22410.6488.675 54369.792 31030.1287.175 54369.792 25664.6884.175 23536.656 5158.2960.075 55784.430 242.1908.275 1037.070 68654.034
10.500 14240.772 40687.9205.825 12597.606 19967.634
10.500 15933.996 22997.5205.125 8375.562 5900.3101.550 12665.484 2698.4887.925 14301.630 13779.9908.275 90225.090 68654.0347.925 23517.270 13779.9901.550 25200.396 2698.4885.125 16664.778 5900.310
10.500 31703.724 22997.5205.825 61959.654 19967.634
10.500 70041.348 40687.9208.275 179413.110 68654.0342.800 15553.512 4560.1922.800 19869.408 4560.192
∑= 1081141.56 715202.784
y p.x p.y
12.325 15153.642 50821.3988.675 3358.368 22410.6488.675 23429.088 31030.1287.175 23429.088 25664.6884.175 3335.904 5158.2964.175 44889.390 17233.3980.075 14450.670 242.190
0.075 24373.440 168.48012.325 74531.178 50821.3988.675 52829.712 22410.6488.675 54369.792 31030.1287.175 54369.792 25664.6884.175 23536.656 5158.2960.075 55784.430 242.1908.275 1037.070 68654.034
10.500 14240.772 40687.9205.825 12597.606 19967.634
10.500 15933.996 22997.5205.125 8375.562 5900.3101.550 12665.484 2698.4887.925 14301.630 13779.9908.275 90225.090 68654.0347.925 23517.270 13779.9901.550 25200.396 2698.4885.125 16664.778 5900.310
10.500 31703.724 22997.5205.825 61959.654 19967.634
10.500 70041.348 40687.9208.275 179413.110 68654.0342.800 15553.512 4560.1922.800 19869.408 4560.192
∑= 1081141.56 715202.784
11.6.8.2 CALCULO DEL MOMENTO POLAR DE INERCIA (J) RECORDANDO
J =PISO 1: MOMENTO POLAR DE INERCIA
Muro Y² X²
1X 5.904 34.8608 3.1962 -7.2000 51.8400 0.04702X 2.254 5.0819 0.1976 -9.5750 91.6806 0.05213X 2.254 5.0819 0.3670 -4.3250 18.7056 0.01474X 0.754 0.5690 0.0411 -4.3250 18.7056 0.01475X -2.246 5.0432 0.0774 -8.1750 66.8306 0.00586X -2.246 5.0432 0.5860 0.0000 0.0000 0.00007X -6.346 40.2679 3.3925 -6.4000 40.9600 0.00938X -6.346 40.2679 1.9650 -0.0250 0.0006 0.00009X 5.904 34.8608 3.1962 7.2000 51.8400 0.0470
10X 2.254 5.0819 0.1976 9.5750 91.6806 0.052111X 2.254 5.0819 0.3670 4.3250 18.7056 0.014712X 0.754 0.5690 0.0411 4.3250 18.7056 0.014713X -2.246 5.0432 0.0774 8.1750 66.8306 0.005814X -6.346 40.2679 3.3925 6.4000 40.9600 0.00931Y 1.854 3.4384 0.0063 -10.7500 115.5625 27.76622Y 4.079 16.6407 0.0142 -7.2000 51.8400 4.29153Y -0.596 0.3549 0.0003 -7.2000 51.8400 3.47264Y 4.079 16.6407 0.0026 -3.6000 12.9600 0.60645Y -1.296 1.6788 0.0001 -3.6000 12.9600 0.16976Y -4.871 23.7237 0.0029 -3.6000 12.9600 0.40327Y 1.504 2.2629 0.0009 -2.6500 7.0225 0.11198Y 1.854 3.4384 0.0063 0.0000 0.0000 0.00009Y 1.504 2.2629 0.0009 2.6500 7.0225 0.1119
10Y -4.871 23.7237 0.0029 3.6000 12.9600 0.403211Y -1.296 1.6788 0.0001 3.6000 12.9600 0.169712Y 4.079 16.6407 0.0026 3.6000 12.9600 0.606413Y -0.596 0.3549 0.0003 7.2000 51.8400 3.472614Y 4.079 16.6407 0.0142 7.2000 51.8400 4.291515Y 1.854 3.4384 0.0063 10.7500 115.5625 27.766216Y -3.621 13.1095 0.0015 -1.3250 1.7556 0.048017Y -3.621 13.1095 0.0015 1.3250 1.7556 0.0480
∑=
PISO 2: MOMENTO POLAR DE INERCIA
Muro Y² X²
1X 5.904 34.8608 3.1962 -7.2000 51.8400 0.0470
∑ Kix . Y²
Em
Yi - Ycr = Y (Ky/Em)Y² Xi - Xcr = X (Kx/Em)X²
Yi - Ycr = Y (Ky/Em)Y² Xi - Xcr = X (Kx/Em)X²
2X 2.254 5.0819 0.1976 -9.5750 91.6806 0.05213X 2.254 5.0819 0.3670 -4.3250 18.7056 0.01474X 0.754 0.5690 0.0411 -4.3250 18.7056 0.01475X -2.246 5.0432 0.0774 -8.1750 66.8306 0.00586X -2.246 5.0432 0.5860 0.0000 0.0000 0.00007X -6.346 40.2679 3.3925 -6.4000 40.9600 0.00938X -6.346 40.2679 1.9650 -0.0250 0.0006 0.00009X 5.904 34.8608 3.1962 7.2000 51.8400 0.0470
10X 2.254 5.0819 0.1976 9.5750 91.6806 0.052111X 2.254 5.0819 0.3670 4.3250 18.7056 0.014712X 0.754 0.5690 0.0411 4.3250 18.7056 0.014713X -2.246 5.0432 0.0774 8.1750 66.8306 0.005814X -6.346 40.2679 3.3925 6.4000 40.9600 0.00931Y 1.854 3.4384 0.0063 -10.7500 115.5625 27.76622Y 4.079 16.6407 0.0142 -7.2000 51.8400 4.29153Y -0.596 0.3549 0.0003 -7.2000 51.8400 3.47264Y 4.079 16.6407 0.0026 -3.6000 12.9600 0.60645Y -1.296 1.6788 0.0001 -3.6000 12.9600 0.16976Y -4.871 23.7237 0.0029 -3.6000 12.9600 0.40327Y 1.504 2.2629 0.0009 -2.6500 7.0225 0.11198Y 1.854 3.4384 0.0063 0.0000 0.0000 0.00009Y 1.504 2.2629 0.0009 2.6500 7.0225 0.1119
10Y -4.871 23.7237 0.0029 3.6000 12.9600 0.403211Y -1.296 1.6788 0.0001 3.6000 12.9600 0.169712Y 4.079 16.6407 0.0026 3.6000 12.9600 0.606413Y -0.596 0.3549 0.0003 7.2000 51.8400 3.472614Y 4.079 16.6407 0.0142 7.2000 51.8400 4.291515Y 1.854 3.4384 0.0063 10.7500 115.5625 27.766216Y -3.621 13.1095 0.0015 -1.3250 1.7556 0.048017Y -3.621 13.1095 0.0015 1.3250 1.7556 0.0480
∑=
PISO 3: MOMENTO POLAR DE INERCIA
Muro Y² X²
1X 5.904 34.8608 3.1962 -7.2000 51.8400 0.04702X 2.254 5.0819 0.1976 -9.5750 91.6806 0.05213X 2.254 5.0819 0.3670 -4.3250 18.7056 0.01474X 0.754 0.5690 0.0411 -4.3250 18.7056 0.01475X -2.246 5.0432 0.0774 -8.1750 66.8306 0.00586X -2.246 5.0432 0.5860 0.0000 0.0000 0.00007X -6.346 40.2679 3.3925 -6.4000 40.9600 0.00938X -6.346 40.2679 1.9650 -0.0250 0.0006 0.00009X 5.904 34.8608 3.1962 7.2000 51.8400 0.0470
10X 2.254 5.0819 0.1976 9.5750 91.6806 0.052111X 2.254 5.0819 0.3670 4.3250 18.7056 0.0147
Yi - Ycr = Y (Ky/Em)Y² Xi - Xcr = X (Kx/Em)X²
12X 0.754 0.5690 0.0411 4.3250 18.7056 0.014713X -2.246 5.0432 0.0774 8.1750 66.8306 0.005814X -6.346 40.2679 3.3925 6.4000 40.9600 0.00931Y 1.854 3.4384 0.0063 -10.7500 115.5625 27.76622Y 4.079 16.6407 0.0142 -7.2000 51.8400 4.29153Y -0.596 0.3549 0.0003 -7.2000 51.8400 3.47264Y 4.079 16.6407 0.0026 -3.6000 12.9600 0.60645Y -1.296 1.6788 0.0001 -3.6000 12.9600 0.16976Y -4.871 23.7237 0.0029 -3.6000 12.9600 0.40327Y 1.504 2.2629 0.0009 -2.6500 7.0225 0.11198Y 1.854 3.4384 0.0063 0.0000 0.0000 0.00009Y 1.504 2.2629 0.0009 2.6500 7.0225 0.1119
10Y -4.871 23.7237 0.0029 3.6000 12.9600 0.403211Y -1.296 1.6788 0.0001 3.6000 12.9600 0.169712Y 4.079 16.6407 0.0026 3.6000 12.9600 0.606413Y -0.596 0.3549 0.0003 7.2000 51.8400 3.472614Y 4.079 16.6407 0.0142 7.2000 51.8400 4.291515Y 1.854 3.4384 0.0063 10.7500 115.5625 27.766216Y -3.621 13.1095 0.0015 -1.3250 1.7556 0.048017Y -3.621 13.1095 0.0015 1.3250 1.7556 0.0480
∑=
PISO 4: MOMENTO POLAR DE INERCIA
Muro Y² X²
1X 5.904 34.8608 3.1962 -7.2000 51.8400 0.04702X 2.254 5.0819 0.1976 -9.5750 91.6806 0.05213X 2.254 5.0819 0.3670 -4.3250 18.7056 0.01474X 0.754 0.5690 0.0411 -4.3250 18.7056 0.01475X -2.246 5.0432 0.0774 -8.1750 66.8306 0.00586X -2.246 5.0432 0.5860 0.0000 0.0000 0.00007X -6.346 40.2679 3.3925 -6.4000 40.9600 0.00938X -6.346 40.2679 1.9650 -0.0250 0.0006 0.00009X 5.904 34.8608 3.1962 7.2000 51.8400 0.0470
10X 2.254 5.0819 0.1976 9.5750 91.6806 0.052111X 2.254 5.0819 0.3670 4.3250 18.7056 0.014712X 0.754 0.5690 0.0411 4.3250 18.7056 0.014713X -2.246 5.0432 0.0774 8.1750 66.8306 0.005814X -6.346 40.2679 3.3925 6.4000 40.9600 0.00931Y 1.854 3.4384 0.0063 -10.7500 115.5625 27.76622Y 4.079 16.6407 0.0142 -7.2000 51.8400 4.29153Y -0.596 0.3549 0.0003 -7.2000 51.8400 3.47264Y 4.079 16.6407 0.0026 -3.6000 12.9600 0.60645Y -1.296 1.6788 0.0001 -3.6000 12.9600 0.16976Y -4.871 23.7237 0.0029 -3.6000 12.9600 0.40327Y 1.504 2.2629 0.0009 -2.6500 7.0225 0.1119
Yi - Ycr = Y (Ky/Em)Y² Xi - Xcr = X (Kx/Em)X²
8Y 1.854 3.4384 0.0063 0.0000 0.0000 0.00009Y 1.504 2.2629 0.0009 2.6500 7.0225 0.1119
10Y -4.871 23.7237 0.0029 3.6000 12.9600 0.403211Y -1.296 1.6788 0.0001 3.6000 12.9600 0.169712Y 4.079 16.6407 0.0026 3.6000 12.9600 0.606413Y -0.596 0.3549 0.0003 7.2000 51.8400 3.472614Y 4.079 16.6407 0.0142 7.2000 51.8400 4.291515Y 1.854 3.4384 0.0063 10.7500 115.5625 27.766216Y -3.621 13.1095 0.0015 -1.3250 1.7556 0.048017Y -3.621 13.1095 0.0015 1.3250 1.7556 0.0480
∑=
INSERTAR DATOS+ RESULTADOS
RESULTADO FINAL
J
3.24320.24970.38170.05580.08330.58603.40191.96503.24320.24970.38170.05580.08333.4019
27.77254.30573.47280.60900.16980.40610.11280.00630.11280.40610.16980.60903.47284.3057
27.77250.04960.0496
91.1847
J
3.2432
∑ Kix . Y²
Em
0.24970.38170.05580.08330.58603.40191.96503.24320.24970.38170.05580.08333.4019
27.77254.30573.47280.60900.16980.40610.11280.00630.11280.40610.16980.60903.47284.3057
27.77250.04960.0496
91.1847
J
3.24320.24970.38170.05580.08330.58603.40191.96503.24320.24970.3817
0.05580.08333.4019
27.77254.30573.47280.60900.16980.40610.11280.00630.11280.40610.16980.60903.47284.3057
27.77250.04960.0496
91.1847
J
3.24320.24970.38170.05580.08330.58603.40191.96503.24320.24970.38170.05580.08333.4019
27.77254.30573.47280.60900.16980.40610.1128
0.00630.11280.40610.16980.60903.47284.3057
27.77250.04960.0496
91.1847
11.6.8.4 CALCULO DE MOMENTO TORSOR Y EXCENTRIDADES
PISO 1: PISO 2:MOMENTOS TORSORES Y MOMENTOS TORSORES Y EXCENTRIDADES EXCENTRIDADES
DESCRIPCION VALORES DESCRIPCION VALORES
10.8744 10.87447.1937 7.1937
10.87506.4207
91.1847 91.1847PESO NIVEL PESO NIVEL
-0.0006 10.87440.7730 7.19370.0000 0.00000.0000 0.0000
PISO 3: PISO 4:MOMENTOS TORSORES Y MOMENTOS TORSORES Y EXCENTRIDADES EXCENTRIDADES
DESCRIPCION VALORES DESCRIPCION VALORES
Vx1 Vx2
Vy1 Vy2
Fx1 Fx1
Fx2 Fx2
Fx3 Fx3
Fx4 Fx4
Fy1 Fy1
Fy2 Fy2
Fy3 Fy3
Fy4 Fy4
Xcm Xcm
Ycm Ycm
Xcr Xcr
Ycr Ycr
dx dx
dy dy
J1 J2
Cx Cx
Cy Cy
Tx Tx
Ty Ty
Mtx1 Mtx1
Mtx2 Mtx2
Mty1 Mty1
Mty2 Mty2
ex ex
ey ey
eaccx eaccx
eaccy eaccy
10.8744 10.87447.1937 7.1937
91.1847 91.1847PESO NIVEL PESO NIVEL
10.8744 10.87447.1937 7.19370.0000 0.00000.0000 0.0000
Vx3 Vx4
Vy3 Vy4
Fx1 Fx1
Fx2 Fx2
Fx3 Fx3
Fx4 Fx4
Fy1 Fy1
Fy2 Fy2
Fy3 Fy3
Fy4 Fy4
Xcm Xcm
Ycm Ycm
Xcr Xcr
Ycr Ycr
dx dx
dy dy
J3 J4
Cx Cx
Cy Cy
Tx Tx
Ty Ty
Mtx1 Mtx1
Mtx2 Mtx2
Mty1 Mty1
Mty2 Mty2
ex ex
ey ey
eaccx eaccx
eaccy eaccy
INSERTAR DATOSRESULTADOSRESULTADO FINAL