METRADO DE CARGAS ELMER

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11.1 DATOS GENEALES DEL PROYECTO UBICACIÓN lima Nº DE PISOS 4 USO vivienda SISTEMA ESTRUCTURAL Alb confinad DEPARTAMENTO X PISO 2 AREA TECHADA POR PISO 257.67 PESO DE ALBAÑILERIA 1800 ALBAÑILERIA 60 MORTERO 1:01:04 CONCRETO 210 ACERO 4200 RESISTENCIA DE TERRENO 2.5 11.2 PARAMETROS PARA EVALUAR LA FUERZA CORTANTE EN Z= 0.4 U= 1.0 C= 2.5 S= 1.2 R= 6.0 K= 0.2

Transcript of METRADO DE CARGAS ELMER

Page 1: METRADO DE CARGAS ELMER

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

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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/

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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

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http://ingenieria-civil31.blogspot.com/

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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)

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11X 0.23 3974.40012X 0.23 3974.40013X 0.13 2246.40014X 0.13 2246.400

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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)

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3974.4003974.4002246.4002246.400

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ESFUERZO ACT.

POR CARGA VIVA

(m2)

ESFUERZO ACT.

TOTAL (m2)

ESFUERZO ACT.

POR CARGA VIVA

(m2)

ESFUERZO ACT.

TOTAL (m2)

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

Page 21: METRADO DE CARGAS ELMER

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

Page 22: METRADO DE CARGAS ELMER

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

Page 23: METRADO DE CARGAS ELMER

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

Page 24: METRADO DE CARGAS ELMER

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)

Page 25: METRADO DE CARGAS ELMER

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)

Page 26: METRADO DE CARGAS ELMER

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)

Page 27: METRADO DE CARGAS ELMER

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%

Page 28: METRADO DE CARGAS ELMER

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)

Page 29: METRADO DE CARGAS ELMER

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)

Page 30: METRADO DE CARGAS ELMER

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)

Page 31: METRADO DE CARGAS ELMER

0.00%0.00%0.00%0.00%0.00%0.00%0.00%0.00%

∑= 100.00%

Page 32: METRADO DE CARGAS ELMER

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=

Page 33: METRADO DE CARGAS ELMER

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

Page 34: METRADO DE CARGAS ELMER

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

Page 35: METRADO DE CARGAS ELMER

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=

Page 36: METRADO DE CARGAS ELMER

INSERTAR DATOSRESULTADOSRESULTADO FINAL

∑(Kix.Xi)∑kiy

Page 37: METRADO DE CARGAS ELMER

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=

Page 38: METRADO DE CARGAS ELMER

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=

Page 39: METRADO DE CARGAS ELMER

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=

Page 40: METRADO DE CARGAS ELMER

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=

Page 41: METRADO DE CARGAS ELMER

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

Page 42: METRADO DE CARGAS ELMER

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

Page 43: METRADO DE CARGAS ELMER

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

Page 44: METRADO DE CARGAS ELMER

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

Page 45: METRADO DE CARGAS ELMER

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

Page 46: METRADO DE CARGAS ELMER

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

Page 47: METRADO DE CARGAS ELMER

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

Page 48: METRADO DE CARGAS ELMER

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

∑=

Page 49: METRADO DE CARGAS ELMER

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

Page 50: METRADO DE CARGAS ELMER

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

Page 51: METRADO DE CARGAS ELMER

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

Page 52: METRADO DE CARGAS ELMER

0.00630.11280.40610.16980.60903.47284.3057

27.77250.04960.0496

91.1847

Page 53: METRADO DE CARGAS ELMER

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

Page 54: METRADO DE CARGAS ELMER

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

Page 55: METRADO DE CARGAS ELMER

INSERTAR DATOSRESULTADOSRESULTADO FINAL