Flores Flores - Elaboracion de Espectros

ELABORACION DE ESPECTROS A PARTIR DE

REGISTROS SSMICOS (SOFTWARE DEGTRA)

2015

Ingeniera Antissmica

ALUMNO: FLORES FLORES EBER ROLY

CODIGO: 2010100283 B

FECHA: 27/05/2015

DOCENTE: Ing. RONALD SANTANA TAPIA

UNIVERSIDAD NACIONAL

DEL CENTRO DEL PERU

FACULTAD DE

INGENIERIA CIVIL

Ao de la Diversificacin

Productiva y del Fortalecimiento

de la Educacin

ELABORACION DE ESPECTROS A PARTIR DE REGISTROS SSMICOS (SOFTWARE DEGTRA

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Contenido 1. INTRODUCCION ........................................................................................................ 3

2. RESUMEN.................................................................................................................. 4

3. OBJETIVOS ............................................................................................................... 4

4. MARCO TEORICO ....................................................................................................... 5

5. ACELOGRAMAS.......................................................................................................... 8

6. ACELERACION ESPECTRAL CON EL PROGRAMA DEGTRA ............................................ 11

7. ESCALAMIENTO Y PROMEDIO PARA 6 REGISTROS .................................................... 19

8. ESPECTRO CON LA NORMA E030 .............................................................................. 30

9. ESPECTRO CON EL PROYECTO DE NORMA E030 2014 ................................................ 32

10. ESPECTROS JUNTOS ................................................................................................ 35

11. CONCLUSIONES Y RECOMENDACIONES .................................................................... 36


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1. INTRODUCCION

Hoy en da es necesario efectuar estudios que permitan conocer los comportamientos

ssmicos para poder planificar y mitigar los grandes efectos que trae consigo. Una forma de

conocer el probable comportamiento ssmico de un lugar es mediante la evaluacin del peligro

ssmico en trminos probabilsticos, es decir predecir las posibles aceleraciones que podran

ocurrir en un lugar determinado. Durante la actividad ssmica, el dao inducido a una

estructura puede ser de tal magnitud que la lleve al colapso y consecuentemente a prdidas

econmicas o humanas. Por ello es de vital importancia identificar la magnitud del dao, como

medida preventiva y herramientas para tomar decisiones de habitabilidad y reforzamiento.

Es por ello la importancia del estudio sobre el espectro de respuesta, el cual es un concepto

prctico que caracteriza todos los movimientos ssmicos y el efecto sobre las estructuras.

ste se encuentra sumando los mximos en valor absoluto, de la respuesta dinmica para

todos los sistemas estructurales posible de un grado de libertad con el mismo

amortiguamiento, para una componente particular de un sismo como por ejemplo la Norte-

Sur o Este-Oeste.


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2. RESUMEN

Este trabajo est relacionado a la construccin de espectros de respuesta mediante el uso del programa acadmico Degtra. Para cada registro usado por la norma peruana de diseo sismorresistente NTE E0-30:

Registro: 7035 y 7036 del sismo del 17 de octubre de 1966 (Lima) Registro: 7038 y 7039 del sismo del 31 de mayo de 1970 (Huaraz) Registro: 7050 y 7051 del sismo del 03 de octubre de 1974 (Lima)

Y para un amortiguamientos: = 2%, 5%, 7%. Se construir los espectros de respuesta escalados a 0.40g (mxima aceleracin del terreno a nivel del lecho rocoso, en la zona 3, segn la ltima norma):

3. OBJETIVOS Construccin de los espectros de respuestas escaladas a la aceleracin segn la zona 1 respecto

a las aceleraciones relativas obteniendo el valor medio, el valor medio ms una desviacin estndar

y el valor medio ms dos desviaciones estndar con las dems condiciones solicitadas en el

problema.

Obtener los espectros inelsticos de seudo aceleraciones segn la norma peruana de diseo

sismorresistente NTE E0.30

Realizar una comparacin correcta sobre los valores obtenidos por el anlisis y el determinado

segn la norma peruana de diseo sismo resistente.

Realizar un anlisis a los resultados obtenidos de los valores espectrales.


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4. MARCO TEORICO

TIPOS DE ESPECTROS

Como mencionamos anteriormente, el concepto de espectro ha ganado una amplia aceptacin

como herramienta de la dinmica estructural. Es por ello que se han desarrollado varios tipos de

espectros, los cuales presentan caractersticas diferentes y se utilizan con distintos objetivos.

Espectros de respuesta elstica:

Representan parmetros de respuesta mxima para un terremoto determinado y usualmente

incluyen varias curvas que consideran distintos factores de amortiguamiento. Se utilizan

fundamentalmente para estudiar las caractersticas del terremoto y su efecto sobre las estructuras.

Las curvas de los espectros de respuesta presentan variaciones bruscas, con numerosos picos y

valles, que resultan de la complejidad del registro de aceleraciones del terremoto.

Espectros de respuesta inelstica:

Son similares a los anteriores pero en este caso se supone que el oscilador de un grado de libertad

exhibe comportamiento no-lineal, es decir que la estructura puede experimentar deformaciones en

rango plstico por accin del terremoto. Este tipo de espectros son muy importantes en el diseo

sismo resistente, dado que por razones prcticas y econmicas la mayora de las construcciones

se disean bajo la hiptesis que incursionarn en campo plstico.

Espectros de diseo:

Las construcciones no pueden disearse para resistir un terremoto en particular en una zona dada,

puesto que el prximo terremoto probablemente presentar caractersticas diferentes. Por lo tanto,

los espectros de respuesta elstica o inelstica, descriptos previamente, no pueden utilizarse para

el diseo sismo resistente. Por esta razn, el diseo o verificacin de las construcciones sismo

resistentes se realiza a partir de espectros que son suavizados (no tienen variaciones bruscas) y

que consideran el efecto de varios terremotos, es decir que representan una envolvente de los

espectros de respuesta de los terremotos tpicos de una zona. Los espectros de diseo se obtienen

generalmente mediante procedimientos estadsticos. Es muy importante que distingamos entre

espectros de respuesta, que se obtienen para un terremoto dado, y espectros de diseo, los cuales

se aplican al clculo y verificacin de estructuras y representan la sismicidad probable del lugar.

ANLISIS DE PELIGRO SISMICO DETERMINISTICO


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El anlisis de peligro ssmico determinstico involucra el desarrollo de un terremoto escenario sobre

el cual se basa la evaluacin del peligro del movimiento ssmico en un lugar.

El escenario consiste en la ocurrencia de un terremoto de tamao especificado en una ubicacin

determinada. Un anlisis tpico de peligro ssmico determinstico puede ser descrito como un

proceso de cuatro pasos, consistentes en:

a) Identificacin y caracterizacin de todas las fuentes sismo gnicas capaces de producir

movimientos ssmicos significativos en el sitio de inters. La caracterizacin de la fuente

incluye la definicin de la geometra de cada fuente y su potencial ssmico.

b) Seleccin del parmetro de distancia fuente-a-sitio para cada fuente. En la mayora de los

anlisis de peligro ssmico deterministico, se selecciona la menor distancia entre la fuente

y el sitio de inters. La distancia puede estar expresada en distancias epicentrales o

hipocentrales, dependiendo de los valores usados en las relaciones de prediccin.

c) Seleccin del terremoto dominante (es decir, el terremoto que se espera que produzca los

mayores niveles de movimiento), generalmente expresado en trmino de algn parmetro

del movimiento ssmico en el sitio. La seleccin se hace comparando el nivel de

sacudimiento producido por los terremotos identificados en el paso (a), asumiendo que

stos ocurren a las distancias determinadas en el paso (b). El terremoto dominante se

describe en trminos de su tamao (usualmente expresado por la magnitud) y la distancia

del sitio de inters.

d) El peligro en el sitio es formalmente definido, usualmente en trminos del movimiento

ssmico producido en el sitio por el terremoto dominante. Sus caractersticas son descritas

por valores picos de aceleracin, velocidades y ordenadas del espectro de respuesta,

parmetros que son obtenidos mediante relaciones de prediccin, basadas

fundamentalmente en ecuaciones de atenuacin de ondas. El anlisis de peligro ssmico

determinstico es bastante simple.

Este mtodo proporciona directamente la evaluacin del movimiento ssmico para las condiciones

ms severas y generalmente se aplica para el diseo de estructuras cuyas fallas podran tener

consecuencias catastrficas, como es el caso de plantas nucleares o grandes presas. Sin embargo,

ste no provee informacin sobre la probabilidad de ocurrencia del terremoto dominante, ni de la

probabilidad de que ste ocurra en la ubicacin asumida. Tampoco provee informacin sobre los

niveles del movimiento ssmico que pueden ser esperados en un determinado periodo de tiempo


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(tal como la vida til de la estructura), ni de los efectos de las incertidumbres de los parmetros

asumidos en el proceso de estimar las caractersticas del movimiento ssmico.

ANALISIS DE PELIGRO SISMICO PROBABILSTICO

En los ltimos 30 a 40 aos, el uso de los conceptos probabilsticos ha permitido considerar

explcitamente el uso de las incertidumbres en el tamao, ubicacin y tasa de recurrencia de los

sismos, as como en la variacin de las caractersticas del movimiento ssmico con el tamao y

ubicacin del terremoto. El anlisis de peligro ssmico probabilstico permite identificar, cuantificar

y combinar en una manera racional estas incertidumbres, proporcionando una evaluacin ms

completa de la amenaza ssmica.

El anlisis de peligro ssmico probabilstico tambin puede ser descrito como un proceso de cuatro

pasos, que tienen un grado de similitud con los pasos descritos para el mtodo determinstico.

a) El primer paso, que consiste en la identificacin y caracterizacin de las fuentes sismognicas,

es idntico al del mtodo determinstico, excepto que se debe definir la distribucin de

probabilidad de la ubicacin potencial de las rupturas dentro de la fuente. En la mayora de los

casos, a cada fuente se le asigna una distribucin uniforme de probabilidades, lo cual implica

que el terremoto tiene igual probabilidad de ocurrir en cualquier punto dentro de la fuente.

Estas distribuciones se combinan luego con la geometra de la fuente para obtener las

correspondientes distribuciones de probabilidad de la distancia fuente-a-sitio. Por el contrario,

el mtodo determinstico implcitamente asume que la probabilidad de ocurrencia es 1 en los

puntos de la fuente ms cercanos al sitio de inters y cero en los otros puntos.

b) Seguidamente, se debe caracterizar la sismicidad o distribucin temporal de la recurrencia

ssmica. Esto se realiza usando una relacin de recurrencia que especifica la razn promedio

en que un sismo de determinado tamao ser excedido. La relacin de recurrencia permite

considerar un mximo tamao de terremoto, pero no se limita a considerar slo ese terremoto,

como sucede en el mtodo determinstico.

c) Mediante el uso de relaciones de prediccin (leyes de atenuacin) se debe determinar el

movimiento ssmico que puede ser producido en el sitio por terremotos de cualquier tamao

posible que ocurran en cualquier punto de la fuente. El mtodo probabilstico permite

considerar las incertidumbres inherentes a las relaciones de prediccin o ecuaciones de

atenuacin.


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d) Finalmente, se combinan las incertidumbres en la ubicacin, tamao y en los parmetros de

prediccin del movimiento ssmico para obtener la probabilidad de que el parmetro del

movimiento ssmico sea excedido durante un periodo de tiempo particular.

5. ACELOGRAMAS


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Tiempo 7035 7036 7038 7039 7050 7051

seg cm/seg2 cm/seg2 cm/seg2 cm/seg2 cm/seg2 cm/seg2

- 180.590 269.340 104.820 97.750 178.950 192.490

0.02 183.010 277.149 107.233 99.894 183.022 194.888

0.04 211.984 288.230 109.851 107.571 188.739 202.182

0.06 346.604 455.137 186.217 174.281 214.705 257.908

0.08 628.000 770.033 255.275 228.070 317.835 397.514

0.10 571.457 957.390 311.114 255.511 372.921 461.312

0.12 582.952 921.505 296.656 248.524 415.002 573.758

0.14 438.061 738.716 227.447 339.715 395.602 432.519

0.16 483.888 597.186 296.269 214.028 357.625 408.607

0.18 423.675 449.746 237.425 222.151 329.415 462.045

0.20 401.780 493.011 200.838 256.677 388.517 446.536

0.22 573.176 537.238 184.073 344.905 369.587 447.952

0.24 520.035 703.697 242.812 322.354 377.056 495.699

0.26 375.125 467.557 281.953 215.296 295.107 471.365

0.28 391.010 465.505 228.973 229.198 387.441 473.562

0.30 549.731 505.389 249.345 220.984 467.911 425.971

0.32 442.569 648.737 288.453 193.709 427.463 460.035

0.34 308.777 695.464 242.301 185.264 388.700 400.671

0.36 302.492 658.777 250.936 256.417 401.822 370.416

0.38 263.276 610.339 214.865 262.039 436.242 343.777

0.40 261.505 565.257 170.302 251.795 437.566 359.263

0.42 300.501 502.608 177.105 198.180 342.841 389.608

0.44 328.575 426.998 198.543 162.977 275.585 470.940

0.46 341.246 370.237 178.225 167.313 287.335 435.623

0.48 301.010 367.336 139.051 167.247 283.955 367.067

0.50 259.483 399.821 118.901 138.420 255.685 327.154

0.52 243.976 410.432 122.109 113.884 230.193 317.557

0.54 271.368 420.933 122.308 105.119 228.333 307.395

0.56 303.540 391.899 145.736 110.624 227.404 341.201

0.58 302.349 332.877 154.704 113.076 207.354 356.849

0.60 275.911 291.926 141.306 114.335 195.099 311.827

0.62 244.011 238.208 115.693 109.004 190.587 308.424

0.64 211.058 197.535 115.443 124.060 183.460 302.725

0.66 181.936 174.141 125.670 128.733 180.820 277.407

0.68 161.311 174.319 134.254 133.432 174.813 253.725

0.70 146.565 192.430 135.701 137.304 155.735 253.205

0.72 138.675 195.246 135.497 140.035 144.898 263.870

0.74 132.339 205.253 128.957 139.424 133.106 271.418

0.76 126.061 192.048 119.135 136.966 124.747 262.749

0.78 125.682 166.198 110.361 132.342 110.616 239.964

0.80 114.094 163.922 102.462 126.517 109.472 213.152

0.82 104.567 159.234 92.812 121.279 102.857 188.518

0.84 96.819 151.712 80.966 113.256 85.800 190.710

0.86 93.564 142.507 68.688 103.951 80.894 188.810

0.88 93.982 153.773 63.506 94.363 80.405 173.107

0.90 93.938 162.426 59.419 85.264 81.189 159.589

0.92 95.937 162.844 54.814 76.898 82.143 147.369

0.94 95.534 149.641 51.399 69.152 81.228 139.463

0.96 92.327 132.962 50.288 62.373 78.823 135.874

0.98 88.889 115.058 48.875 59.272 70.147 137.790

1.00 80.848 103.463 51.817 61.170 71.937 136.948

1.02 79.646 100.670 54.043 58.243 72.123 134.891

1.04 77.821 95.695 54.297 52.433 68.528 132.292

1.06 76.160 89.659 54.230 48.179 63.436 131.640

1.08 73.976 82.828 54.697 45.142 61.183 130.090

1.10 69.577 76.947 54.454 42.128 63.621 125.244

1.12 63.835 72.323 52.125 39.052 65.281 117.385

1.14 57.486 67.682 47.139 38.981 64.708 116.233

1.16 52.911 63.093 46.788 38.486 63.415 110.869

1.18 47.749 58.278 45.541 37.417 61.950 104.084

1.20 43.383 57.674 43.608 35.716 59.395 98.785

1.22 40.543 55.427 41.757 33.488 56.494 97.197

1.24 38.812 53.711 40.531 30.877 53.768 99.381

1.26 37.384 56.302 39.955 29.825 50.764 101.584

1.28 37.176 59.769 39.808 30.026 50.876 102.387

1.30 37.380 62.255 42.420 30.125 51.537 101.645

1.32 36.307 63.032 44.628 29.496 51.348 99.998

1.34 40.687 62.136 44.766 30.106 50.605 97.858

1.36 46.084 60.337 42.995 30.479 49.056 96.017

1.38 50.799 58.476 39.892 29.698 47.026 94.602

1.40 54.157 56.848 36.459 28.160 45.098 93.626

1.42 56.006 55.654 35.143 26.065 45.611 92.026

1.44 56.788 55.047 32.967 23.717 45.430 88.171

1.46 56.544 55.063 30.753 21.418 44.660 82.615

1.48 55.332 55.592 28.786 19.883 42.583 78.877

5% de amortiguamiento


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1.50 53.329 56.379 27.324 18.814 38.733 74.393

1.52 50.282 57.106 26.068 18.063 36.160 70.802

1.54 46.318 57.510 27.182 17.630 35.290 68.915

1.56 41.720 57.681 28.379 17.473 35.209 68.745

1.58 36.929 57.450 28.782 17.514 35.372 70.061

1.60 33.017 56.860 28.314 17.695 36.007 71.568

1.62 32.285 56.164 27.419 18.284 36.739 72.119

1.64 31.819 55.259 26.322 18.922 36.952 71.155

1.66 31.618 54.623 25.249 19.680 35.622 68.930

1.68 31.454 53.578 24.204 20.641 35.562 67.573

1.70 31.293 52.005 23.141 21.506 35.028 69.704

1.72 30.611 49.998 21.981 22.207 35.026 73.984

1.74 29.726 50.439 20.808 22.692 35.047 77.999

1.76 29.138 50.629 19.856 22.941 34.414 80.120

1.78 28.685 50.465 19.271 23.023 33.328 80.071

1.80 28.224 49.927 19.123 22.834 32.014 78.043

1.82 27.722 49.082 19.288 22.385 30.632 74.121

1.84 27.383 47.982 19.481 21.874 29.573 69.902

1.86 26.935 46.705 19.421 21.531 28.635 64.872

1.88 26.586 45.624 18.949 20.965 27.847 59.133

1.90 26.849 44.420 19.589 20.207 27.298 55.582

1.92 27.916 43.232 19.840 19.736 27.020 54.074

1.94 28.743 42.205 19.743 20.387 26.996 52.164

1.96 29.552 41.468 19.593 20.792 27.197 50.051

1.98 30.801 41.111 19.393 20.939 27.539 47.787

2.00 31.904 41.175 19.280 20.815 27.906 45.413

2.02 32.819 41.786 20.094 20.518 28.199 43.287

2.04 33.324 42.751 20.994 20.002 28.325 41.238

2.06 33.493 43.935 21.950 19.383 28.229 39.673

2.08 33.321 45.242 22.928 18.655 27.934 41.116

2.10 32.835 46.586 23.834 17.876 27.317 42.582

2.12 32.155 47.897 24.556 17.060 26.370 43.969

2.14 31.441 49.174 25.020 16.474 25.110 45.227

2.16 30.823 50.514 25.117 16.396 24.069 46.379

2.18 30.239 51.739 24.911 16.285 23.808 47.417

2.20 29.688 52.824 24.441 15.879 23.394 48.320

2.22 29.145 53.748 23.712 15.635 22.761 49.085

2.24 28.595 54.501 22.768 15.694 21.927 49.700

2.26 28.040 55.079 21.652 15.543 20.916 50.142

2.28 27.386 55.512 20.461 15.150 19.859 50.408

2.30 26.839 56.437 19.312 14.560 20.030 50.538

2.32 26.600 57.235 18.192 13.819 20.285 50.402

2.34 26.185 57.889 17.561 12.990 20.553 49.971

2.36 25.564 58.415 17.257 12.443 20.797 49.226

2.38 24.747 58.829 16.945 12.246 21.014 48.191

2.40 23.777 59.151 16.647 12.018 21.182 46.953

2.42 22.713 59.398 16.369 11.765 21.273 45.416

2.44 21.557 59.585 16.138 11.509 21.334 43.610

2.46 20.360 59.784 15.917 11.244 21.328 41.570

2.48 19.171 60.101 15.714 10.964 21.242 40.677

2.50 18.766 60.376 15.491 10.945 21.259 40.087

2.52 18.640 60.608 15.235 10.924 21.251 39.213

2.54 18.579 60.796 14.908 10.892 21.177 38.197

2.56 18.502 60.957 14.495 10.842 21.043 36.963

2.58 18.427 61.109 13.995 10.821 20.882 35.741

2.60 18.374 61.193 13.433 10.892 20.680 34.796

2.62 18.357 61.201 12.780 10.939 20.432 34.495

2.64 18.386 61.124 12.043 10.967 20.144 33.984

2.66 18.468 60.956 11.960 10.976 19.821 33.325

2.68 18.605 60.692 11.951 10.970 19.468 32.464

2.70 18.793 60.327 12.015 10.952 19.089 31.425

2.72 19.023 59.887 12.017 10.922 18.720 30.270

2.74 19.285 59.396 12.132 10.882 18.536 29.020

2.76 19.564 58.808 12.254 10.843 18.173 27.659

2.78 19.845 58.421 12.347 10.799 17.666 26.211

2.80 20.111 57.938 12.394 10.747 17.402 24.714

2.82 20.347 58.381 12.393 10.686 17.128 24.366

2.84 20.541 58.759 12.344 10.615 16.835 24.292

2.86 20.681 58.936 12.250 10.534 16.525 24.216

2.88 20.759 58.916 12.118 10.449 16.212 24.134

2.90 20.787 58.783 11.956 10.372 15.895 24.045

2.92 20.757 58.494 11.755 10.283 15.588 23.947

2.94 20.660 58.030 11.516 10.192 15.303 23.839

2.96 20.990 57.403 11.258 10.225 15.007 23.720

2.98 21.894 56.782 11.058 10.407 14.704 23.589

3.00 22.715 56.146 10.828 10.540 14.394 23.445


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6. ACELERACION ESPECTRAL CON EL PROGRAMA DEGTRA

AMORTIGUAMIENTO 2%:


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de la Educacin

7035

7036

7038


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de la Educacin

7039

7050

7051


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de la Educacin

AMORTIGUAMIENTO 5%:

7035

7036


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de la Educacin

7038

7039


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de la Educacin

7050

7051

AMORTIGUAMIENTO 7%:


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de la Educacin

7035

7036


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de la Educacin

7038

7039

7050


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7051

7. ESCALAMIENTO Y PROMEDIO PARA 6 REGISTROS

AMORTIGUAMIENTO 2%:

PGA: 1.62966 1.09267097 2.80767029

7035 7036 7038

Tiempo(s) cm/seg2 escalado. 0.30g Tiempo(s) cm/seg2 Norm. 0.30g Tiempo(s) cm/seg2 Norm. 0.30g

0.000 180.59 294.3 0.000 269.34 294.3 0.000 104.82 294.3

0.020 180.982 294.938826 0.020 270.2578 295.302853 0.020 105.0989 295.083059

0.040 180.6955 294.471929 0.040 269.3335 294.292898 0.040 104.7426 294.082686

0.060 312.5757 509.391597 0.060 439.9146 480.681914 0.060 188.8678 530.278511

0.080 681.8108 1111.11866 0.080 798.2743 872.251156 0.080 259.4554 728.465219

0.100 594.2782 968.470426 0.100 1021.522 1116.18744 0.100 320.0169 898.501943

0.120 632.7263 1031.12769 0.120 935.1099 1021.76744 0.120 309.9337 870.191642

0.140 483.9307 788.641702 0.140 776.8238 848.812818 0.140 240.3655 674.867074

0.160 522.5327 851.549774 0.160 661.5234 722.827417 0.160 332.0045 932.159171


20


DEL CENTRO DEL PERU

FACULTAD DE

INGENIERIA CIVIL



de la Educacin

0.180 428.0403 697.559446 0.180 462.5388 505.402721 0.180 253.8037 712.597108

0.200 420.8081 685.773431 0.200 518.8783 566.963257 0.200 218.476 613.408575

0.220 624.8907 1018.35834 0.220 585.8979 640.193629 0.220 199.5696 560.325637

0.240 558.0292 909.396941 0.240 771.2844 842.760076 0.240 262.3907 736.706573

0.260 406.7462 662.857338 0.260 465.4801 508.616594 0.260 304.4039 854.665787

0.280 431.4913 703.183397 0.280 488.3783 533.636792 0.280 249.1192 699.444577

0.300 619.4042 1009.41722 0.300 541.02 591.15685 0.300 261.2326 733.45501

0.320 479.5169 781.448716 0.320 699.1426 763.932825 0.320 326.7398 917.37763

0.340 323.2664 526.813785 0.340 747.4929 816.763795 0.340 265.0329 744.125

0.360 323.3562 526.960129 0.360 719.8311 786.538549 0.360 274.7822 771.49782

0.380 273.0285 444.943173 0.380 645.1705 704.959078 0.380 235.06 659.970979

0.400 271.6134 442.637043 0.400 599.8441 655.432237 0.400 188.0852 528.081228

0.420 311.9718 508.407446 0.420 538.1373 588.007007 0.420 194.7016 546.657898

0.440 347.8905 566.942655 0.440 442.0954 483.064811 0.440 224.3047 629.773643

0.460 371.7987 605.904853 0.460 396.587 433.339103 0.460 198.0318 556.008002

0.480 330.8112 539.109232 0.480 401.1289 438.301906 0.480 150.5305 422.640013

0.500 282.6344 460.597508 0.500 421.1046 460.128773 0.500 128.4354 360.604257

0.520 250.1178 407.606559 0.520 440.5362 481.361119 0.520 130.5952 366.668263

0.540 284.0037 462.828999 0.540 451.8676 493.74261 0.540 132.0291 370.694182

0.560 324.2267 528.378746 0.560 427.5969 467.222721 0.560 159.6553 448.259443

0.580 325.1468 529.878195 0.580 364.9305 398.748965 0.580 171.9109 482.669127

0.600 291.2491 474.636525 0.600 315.5721 344.816474 0.600 156.2529 438.706625

0.620 255.3873 416.194044 0.620 246.4739 269.314876 0.620 124.4089 349.299173

0.640 218.1789 355.557064 0.640 200.1889 218.7406 0.640 126.5766 355.385359

0.660 185.1015 301.652204 0.660 175.0117 191.230205 0.660 139.0908 390.521107

0.680 162.8639 265.412513 0.680 183.9846 201.034632 0.680 149.0504 418.48438

0.700 146.4847 238.720013 0.700 213.1328 232.884024 0.700 151.7863 426.165885

0.720 140.0408 228.218658 0.720 220.6233 241.068676 0.720 148.3962 416.647602

0.740 137.6187 224.271462 0.740 227.7283 248.832103 0.740 139.3175 391.157606

0.760 142.0731 231.530613 0.760 211.9636 231.606473 0.760 127.2703 357.33304

0.780 139.5643 227.442126 0.780 178.5088 195.051384 0.780 117.6298 330.265695

0.800 124.6793 203.184661 0.800 173.6296 189.720024 0.800 109.2759 306.810698

0.820 107.9323 175.892773 0.820 169.5045 185.212647 0.820 98.80397 277.408971

0.840 96.92841 157.960192 0.840 160.9514 175.866923 0.840 85.1871 239.17729

0.860 93.5453 152.446879 0.860 153.4591 167.680304 0.860 71.79929 201.588734

0.880 96.29816 156.9331 0.880 168.171 183.75557 0.880 69.18315 194.243475

0.900 98.88029 161.141089 0.900 181.2287 198.02334 0.900 64.15392 180.123055

0.920 105.1913 171.42588 0.920 182.9451 199.898801 0.920 58.61553 164.573082

0.940 106.9653 174.316893 0.940 167.5726 183.101716 0.940 54.59395 153.281812

0.960 103.3931 168.495428 0.960 148.1668 161.897562 0.960 54.13505 151.993372

0.980 101.0692 164.708265 0.980 125.2182 136.822292 0.980 53.93681 151.436779

1.000 90.10026 146.83264 1.000 111.5228 121.857726 1.000 55.21484 155.025066

1.020 88.99373 145.029374 1.020 109.1408 119.254984 1.020 58.61658 164.57603

1.040 85.17836 138.811625 1.040 103.6572 113.263214 1.040 58.2914 163.663032

1.060 83.64939 136.319926 1.060 97.02546 106.016904 1.060 57.71032 162.031551

1.080 81.79947 133.305189 1.080 89.74347 98.0600847 1.080 59.46626 166.961652

1.100 76.0499 123.935354 1.100 81.47489 89.0252474 1.100 61.32191 172.171705


21


DEL CENTRO DEL PERU

FACULTAD DE

INGENIERIA CIVIL



de la Educacin

1.120 68.64389 111.866088 1.120 76.41952 83.5013913 1.120 59.68119 167.565104

1.140 62.35077 101.610452 1.140 71.51093 78.1379175 1.140 53.14436 149.211841

1.160 56.35888 91.8457189 1.160 66.96236 73.1678271 1.160 50.18629 140.906555

1.180 49.56389 80.7722068 1.180 62.7214 68.5338532 1.180 48.38919 135.860891

1.200 44.03376 71.7599843 1.200 62.9554 68.7895382 1.200 45.48799 127.715278

1.220 41.01207 66.835662 1.220 60.05865 65.6243436 1.220 42.83937 120.278826

1.240 39.96121 65.1231192 1.240 58.57084 63.9986568 1.240 41.36547 116.140601

1.260 39.79026 64.8445291 1.260 60.24238 65.8251 1.260 41.34775 116.090849

1.280 42.21964 68.8035885 1.280 64.09817 70.0382098 1.280 42.24055 118.597537

1.300 42.461 69.1969229 1.300 66.69299 72.8734943 1.300 46.93551 131.779437

1.320 40.90646 66.6635538 1.320 67.08709 73.3041159 1.320 50.31366 141.264168

1.340 41.58803 67.77428 1.340 65.26517 71.3133568 1.340 51.02777 143.269154

1.360 49.4199 80.5375523 1.360 62.74999 68.5650927 1.360 49.13589 137.957379

1.380 55.85126 91.0184718 1.380 60.54646 66.1573594 1.380 45.2424 127.025742

1.400 60.08884 97.9242794 1.400 59.97802 65.5362415 1.400 41.4531 116.386637

1.420 62.35602 101.619008 1.420 58.38779 63.7986433 1.420 39.06266 109.67507

1.440 63.43789 103.382087 1.440 56.08241 61.2796215 1.440 35.75528 100.389037

1.460 63.27709 103.120038 1.460 55.41661 60.5521212 1.460 32.48734 91.2137394

1.480 61.90894 100.890421 1.480 56.32389 61.5434797 1.480 30.0879 84.476903

1.500 59.43074 96.8518012 1.500 57.63177 62.9725622 1.500 28.52622 80.0922204

3.01074169 1.64459346 1.52891059

7039 7050 7051

Tiempo(s) cm/seg2 Norm. 0.30g Tiempo(s) cm/seg2 Norm. 0.30g

Tiempo(s) cm/seg2 Norm. 0.30g

0.000 97.75 294.3 0.000 178.95 294.3 0.000 192.49 294.3

0.020 98.004 295.064728 0.020 179.3204 294.909157 0.020 192.9148 294.949481

0.040 97.73496 294.254718 0.040 178.8601 294.152151 0.040 192.8609 294.867073

0.060 144.6967 435.644387 0.060 191.2507 314.529651 0.060 254.9188 389.748054

0.080 227.6025 685.252335 0.080 340.7725 560.432225 0.080 394.3403 602.911062

0.100 280.7897 845.385255 0.100 388.5483 639.003994 0.100 491.2487 751.075341

0.120 249.9281 752.46895 0.120 431.8748 710.258472 0.120 606.6422 927.501686

0.140 378.6373 1139.9791 0.140 411.3121 676.44119 0.140 426.7267 652.426972

0.160 215.9114 650.053453 0.160 367.3606 604.158841 0.160 424.6288 649.21947

0.180 235.6523 709.488203 0.180 336.9878 554.207933 0.180 505.7327 773.220082

0.200 266.9889 803.834611 0.200 429.9335 707.065823 0.200 467.4329 714.663112

0.220 384.9537 1158.99615 0.220 401.8053 660.806369 0.220 474.3111 725.179265

0.240 346.5131 1043.26144 0.240 404.9803 666.027954 0.240 553.9342 846.915866

0.260 231.8575 698.063041 0.260 304.2314 500.336971 0.260 506.574 774.506355

0.280 239.7595 721.853922 0.280 401.2312 659.862208 0.280 499.3062 763.394538

0.300 241.9079 728.322199 0.300 490.5476 806.751376 0.300 472.6866 722.69555

0.320 207.0361 623.332217 0.320 447.2034 735.467788 0.320 497.1806 760.144686

0.340 202.1149 608.515755 0.340 398.3208 655.075783 0.340 426.6852 652.363522

0.360 286.8191 863.538221 0.360 418.0908 687.589396 0.360 398.1893 608.795839

0.380 284.1796 855.591369 0.380 472.6301 777.284372 0.380 356.6658 545.31012

0.400 283.5592 853.723504 0.400 482.638 793.743299 0.400 374.8806 573.15892

0.420 208.6877 628.304758 0.420 360.5491 592.956693 0.420 430.0354 657.485678


22


DEL CENTRO DEL PERU

FACULTAD DE

INGENIERIA CIVIL



de la Educacin

0.440 180.1234 542.305029 0.440 276.1777 454.20004 0.440 527.6552 806.737625

0.460 174.5465 525.514424 0.460 306.9253 504.767342 0.460 475.5832 727.124192

0.480 181.0059 544.962009 0.480 309.5488 509.081933 0.480 408.1104 623.964314

0.500 144.819 436.012601 0.500 279.0629 458.945021 0.500 371.5678 568.093945

0.520 115.4843 347.693396 0.520 251.379 413.41626 0.520 343.0793 524.537576

0.540 104.8864 315.785857 0.540 244.8804 402.728705 0.540 343.2691 524.827763

0.560 117.3754 353.38701 0.560 245.9984 404.56736 0.560 360.5529 551.253148

0.580 121.8365 366.81823 0.580 222.5478 366.000657 0.580 396.7843 606.647719

0.600 124.2144 373.977472 0.600 206.0192 338.817829 0.600 335.6381 513.160646

0.620 119.9579 361.16225 0.620 201.6595 331.647895 0.620 332.9043 508.980911

0.640 136.2908 410.336393 0.640 191.407 314.786701 0.640 331.1535 506.304094

0.660 140.849 424.059956 0.660 191.1305 314.331971 0.660 300.7589 459.833468

0.680 149.5712 450.320247 0.680 190.0601 312.571598 0.680 260.6642 398.532257

0.700 149.3793 449.742486 0.700 173.3181 285.037814 0.700 260.129 397.713984

0.720 154.9749 466.589392 0.720 158.7675 261.107992 0.720 276.9076 423.366963

0.740 154.8137 466.10406 0.740 145.8615 239.882869 0.740 292.8508 447.74269

0.760 147.3994 443.781518 0.760 133.3584 219.320353 0.760 285.4873 436.484557

0.780 142.9725 430.453266 0.780 120.5193 198.205253 0.780 257.5198 393.72475

0.800 139.0903 418.764965 0.800 121.309 199.503988 0.800 224.3291 342.979137

0.820 132.2145 398.063707 0.820 118.3451 194.629578 0.820 212.6161 325.071007

0.840 122.1677 367.815387 0.840 98.74842 162.401006 0.840 215.9995 330.243924

0.860 111.0424 334.319983 0.860 89.19894 146.695994 0.860 212.4758 324.856501

0.880 99.84404 300.604614 0.880 84.81004 139.478037 0.880 190.6165 291.435586

0.900 89.49343 269.441601 0.900 87.63553 144.12482 0.900 169.7385 259.514991

0.920 80.4265 242.143416 0.920 90.51279 148.856743 0.920 152.6146 233.334079

0.940 72.52621 218.357684 0.940 89.51579 147.217083 0.940 144.7177 221.260424

0.960 65.27988 196.540856 0.960 88.25615 145.145487 0.960 144.919 221.568194

0.980 65.85565 198.274351 0.980 77.94607 128.189597 0.980 145.9793 223.189298

1.000 70.20353 211.364694 1.000 80.78105 132.851987 1.000 145.3093 222.164928

1.020 67.34583 202.760898 1.020 80.4921 132.376781 1.020 143.7524 219.784567

1.040 58.8588 177.208643 1.040 77.63025 127.670202 1.040 142.3529 217.644857

1.060 52.32209 157.528298 1.060 69.76171 114.729652 1.060 140.1589 214.290427

1.080 49.10987 147.857133 1.080 66.43999 109.266773 1.080 139.5996 213.435307

1.100 46.80032 140.903674 1.100 69.48839 114.280152 1.100 135.1982 206.70596

1.120 41.46609 124.843686 1.120 72.80786 119.739331 1.120 126.8069 193.876413

1.140 40.64705 122.377768 1.140 73.33776 120.610801 1.140 126.5807 193.530573

1.160 40.34421 121.465995 1.160 70.469 115.892857 1.160 119.2159 182.270452

1.180 39.25497 118.186575 1.180 68.37565 112.450147 1.180 108.9795 166.619912

1.200 37.42161 112.666801 1.200 65.89929 108.377541 1.200 102.1518 156.180969

1.220 34.97753 105.308308 1.220 61.77065 101.587607 1.220 100.7723 154.071837

1.240 32.30082 97.2494253 1.240 58.34666 95.9565356 1.240 102.1714 156.210936

1.260 32.66249 98.3383203 1.260 55.18999 90.7650967 1.260 106.1158 162.241571

1.280 33.99701 102.356215 1.280 53.2778 87.6203215 1.280 107.4276 164.247196

1.300 34.3294 103.356956 1.300 54.33703 89.3623243 1.300 106.4298 162.721649

1.320 34.20781 102.99088 1.320 54.40705 89.4774787 1.320 104.1351 159.213257

1.340 33.24244 100.0844 1.340 53.65274 88.2369454 1.340 101.524 155.221119

1.360 33.76683 101.663203 1.360 51.94879 85.4346404 1.360 99.05005 151.438671


23


DEL CENTRO DEL PERU

FACULTAD DE

INGENIERIA CIVIL



de la Educacin

1.380 32.80549 98.7688563 1.380 49.61602 81.5981821 1.380 97.60766 149.233385

1.400 30.86322 92.9211831 1.400 48.95227 80.5065832 1.400 98.12601 150.025896

1.420 28.16348 84.7929633 1.420 49.33105 81.1295223 1.420 97.93467 149.733354

1.440 25.16463 75.7642006 1.440 49.39126 81.2285433 1.440 94.02248 143.751966

1.460 22.24145 66.9632607 1.460 49.80437 81.9079413 1.460 90.61311 138.539344

1.480 20.2099 60.8467884 1.480 48.60044 79.9279659 1.480 85.00836 129.970182

1.500 18.87946 56.8411773 1.500 44.05782 72.4572027 1.500 78.64396 120.239584

AMORTIGUAMIENTO 5%:

PGA: 2.17288 1.45689463 3.74356

7035 7036 7038

Tiempo(s) cm/seg2 escalado. 0.30g



0.000 180.59 392.4 0.000 269.34 392.4 0.000 104.82 392.4

0.020 180.982 393.251768 0.020 270.2578 393.737138 0.020 105.0989 393.444079

0.040 180.6955 392.629239 0.040 269.3335 392.39053 0.040 104.7426 392.110248

0.060 312.5757 679.188796 0.060 439.9146 640.909219 0.060 188.8678 707.038015

0.080 681.8108 1481.49154 0.080 798.2743 1163.00154 0.080 259.4554 971.286958

0.100 594.2782 1291.2939 0.100 1021.522 1488.24992 0.100 320.0169 1198.00259

0.120 632.7263 1374.83692 0.120 935.1099 1362.35659 0.120 309.9337 1160.25552

0.140 483.9307 1051.52227 0.140 776.8238 1131.75042 0.140 240.3655 899.822765

0.160 522.5327 1135.3997 0.160 661.5234 963.76989 0.160 332.0045 1242.8789

0.180 428.0403 930.079261 0.180 462.5388 673.870294 0.180 253.8037 950.129478

0.200 420.8081 914.364574 0.200 518.8783 755.95101 0.200 218.476 817.8781

0.220 624.8907 1357.81112 0.220 585.8979 853.591505 0.220 199.5696 747.100849

0.240 558.0292 1212.52925 0.240 771.2844 1123.6801 0.240 262.3907 982.275431

0.260 406.7462 883.809784 0.260 465.4801 678.155459 0.260 304.4039 1139.55438

0.280 431.4913 937.577862 0.280 488.3783 711.515723 0.280 249.1192 932.592769

0.300 619.4042 1345.88963 0.300 541.02 788.209133 0.300 261.2326 977.940014

0.320 479.5169 1041.93162 0.320 699.1426 1018.5771 0.320 326.7398 1223.17017

0.340 323.2664 702.418381 0.340 747.4929 1089.01839 0.340 265.0329 992.166666

0.360 323.3562 702.613505 0.360 719.8311 1048.71807 0.360 274.7822 1028.66376

0.380 273.0285 593.257564 0.380 645.1705 939.945438 0.380 235.06 879.961305

0.400 271.6134 590.182724 0.400 599.8441 873.909649 0.400 188.0852 704.108305

0.420 311.9718 677.876595 0.420 538.1373 784.009343 0.420 194.7016 728.877197

0.440 347.8905 755.923541 0.440 442.0954 644.086415 0.440 224.3047 839.69819

0.460 371.7987 807.873137 0.460 396.587 577.785471 0.460 198.0318 741.344002

0.480 330.8112 718.812309 0.480 401.1289 584.402541 0.480 150.5305 563.520017

0.500 282.6344 614.13001 0.500 421.1046 613.505031 0.500 128.4354 480.805676

0.520 250.1178 543.475412 0.520 440.5362 641.814825 0.520 130.5952 488.891018

0.540 284.0037 617.105332 0.540 451.8676 658.323481 0.540 132.0291 494.258909

0.560 324.2267 704.504995 0.560 427.5969 622.963628 0.560 159.6553 597.679257

0.580 325.1468 706.50426 0.580 364.9305 531.665286 0.580 171.9109 643.558836

0.600 291.2491 632.848701 0.600 315.5721 459.755298 0.600 156.2529 584.942167

0.620 255.3873 554.925392 0.620 246.4739 359.086502 0.620 124.4089 465.73223

0.640 218.1789 474.076086 0.640 200.1889 291.654134 0.640 126.5766 473.847146


24


DEL CENTRO DEL PERU

FACULTAD DE

INGENIERIA CIVIL



de la Educacin

0.660 185.1015 402.202938 0.660 175.0117 254.973606 0.660 139.0908 520.694809

0.680 162.8639 353.883351 0.680 183.9846 268.046176 0.680 149.0504 557.979173

0.700 146.4847 318.293351 0.700 213.1328 310.512032 0.700 151.7863 568.22118

0.720 140.0408 304.291544 0.720 220.6233 321.424901 0.720 148.3962 555.530136

0.740 137.6187 299.028617 0.740 227.7283 331.776138 0.740 139.3175 521.543475

0.760 142.0731 308.707483 0.760 211.9636 308.808631 0.760 127.2703 476.444054

0.780 139.5643 303.256168 0.780 178.5088 260.068512 0.780 117.6298 440.35426

0.800 124.6793 270.912882 0.800 173.6296 252.960032 0.800 109.2759 409.080931

0.820 107.9323 234.523697 0.820 169.5045 246.950196 0.820 98.80397 369.878628

0.840 96.92841 210.613589 0.840 160.9514 234.489231 0.840 85.1871 318.903053

0.860 93.5453 203.262505 0.860 153.4591 223.573739 0.860 71.79929 268.784978

0.880 96.29816 209.244133 0.880 168.171 245.007427 0.880 69.18315 258.9913

0.900 98.88029 214.854786 0.900 181.2287 264.03112 0.900 64.15392 240.164074

0.920 105.1913 228.567839 0.920 182.9451 266.531734 0.920 58.61553 219.430776

0.940 106.9653 232.422525 0.940 167.5726 244.135621 0.940 54.59395 204.375749

0.960 103.3931 224.660571 0.960 148.1668 215.863415 0.960 54.13505 202.657829

0.980 101.0692 219.61102 0.980 125.2182 182.429723 0.980 53.93681 201.915705

1.000 90.10026 195.776854 1.000 111.5228 162.476969 1.000 55.21484 206.700088

1.020 88.99373 193.372499 1.020 109.1408 159.006646 1.020 58.61658 219.434707

1.040 85.17836 185.082167 1.040 103.6572 151.017618 1.040 58.2914 218.217376

1.060 83.64939 181.759902 1.060 97.02546 141.355872 1.060 57.71032 216.042068

1.080 81.79947 177.740252 1.080 89.74347 130.74678 1.080 59.46626 222.615535

1.100 76.0499 165.247139 1.100 81.47489 118.70033 1.100 61.32191 229.562273

1.120 68.64389 149.154784 1.120 76.41952 111.335188 1.120 59.68119 223.420139

1.140 62.35077 135.480603 1.140 71.51093 104.18389 1.140 53.14436 198.949121

1.160 56.35888 122.460959 1.160 66.96236 97.5571028 1.160 50.18629 187.875407

1.180 49.56389 107.696276 1.180 62.7214 91.3784709 1.180 48.38919 181.147855

1.200 44.03376 95.6799791 1.200 62.9554 91.7193843 1.200 45.48799 170.287038

1.220 41.01207 89.114216 1.220 60.05865 87.4991247 1.220 42.83937 160.371769

1.240 39.96121 86.8308256 1.240 58.57084 85.3315423 1.240 41.36547 154.854135

1.260 39.79026 86.4593722 1.260 60.24238 87.7668 1.260 41.34775 154.787799

1.280 42.21964 91.738118 1.280 64.09817 93.3842798 1.280 42.24055 158.13005

1.300 42.461 92.2625638 1.300 66.69299 97.1646591 1.300 46.93551 175.705916

1.320 40.90646 88.8847384 1.320 67.08709 97.7388213 1.320 50.31366 188.352225

1.340 41.58803 90.3657067 1.340 65.26517 95.0844758 1.340 51.02777 191.025539

1.360 49.4199 107.383403 1.360 62.74999 91.4201235 1.360 49.13589 183.943171

1.380 55.85126 121.357962 1.380 60.54646 88.2098125 1.380 45.2424 169.367657

1.400 60.08884 130.565706 1.400 59.97802 87.3816553 1.400 41.4531 155.182183

1.420 62.35602 135.492011 1.420 58.38779 85.0648578 1.420 39.06266 146.233427

1.440 63.43789 137.842782 1.440 56.08241 81.706162 1.440 35.75528 133.85205

1.460 63.27709 137.493383 1.460 55.41661 80.7361616 1.460 32.48734 121.618319

1.480 61.90894 134.520561 1.480 56.32389 82.057973 1.480 30.0879 112.635871

1.500 59.43074 129.135735 1.500 57.63177 83.9634163 1.500 28.52622 106.789627

4.01432225 2.19279128 2.03854746

7039 7050 7051


25


DEL CENTRO DEL PERU

FACULTAD DE

INGENIERIA CIVIL



de la Educacin




0.000 97.75 392.4 0.000 178.95 392.4 0.000 192.49 392.4

0.020 98.004 393.419638 0.020 179.3204 393.21221 0.020 192.9148 393.265975

0.040 97.73496 392.339625 0.040 178.8601 392.202868 0.040 192.8609 393.156097

0.060 144.6967 580.859182 0.060 191.2507 419.372868 0.060 254.9188 519.664071

0.080 227.6025 913.66978 0.080 340.7725 747.242967 0.080 394.3403 803.881416

0.100 280.7897 1127.18034 0.100 388.5483 852.005325 0.100 491.2487 1001.43379

0.120 249.9281 1003.29193 0.120 431.8748 947.011297 0.120 606.6422 1236.66891

0.140 378.6373 1519.97214 0.140 411.3121 901.921587 0.140 426.7267 869.902629

0.160 215.9114 866.737937 0.160 367.3606 805.545121 0.160 424.6288 865.62596

0.180 235.6523 945.984271 0.180 336.9878 738.94391 0.180 505.7327 1030.96011

0.200 266.9889 1071.77948 0.200 429.9335 942.754431 0.200 467.4329 952.88415

0.220 384.9537 1545.3282 0.220 401.8053 881.075159 0.220 474.3111 966.905687

0.240 346.5131 1391.01525 0.240 404.9803 888.037271 0.240 553.9342 1129.22115

0.260 231.8575 930.750721 0.260 304.2314 667.115962 0.260 506.574 1032.67514

0.280 239.7595 962.471896 0.280 401.2312 879.816278 0.280 499.3062 1017.85938

0.300 241.9079 971.096266 0.300 490.5476 1075.6685 0.300 472.6866 963.594066

0.320 207.0361 831.109623 0.320 447.2034 980.623717 0.320 497.1806 1013.52625

0.340 202.1149 811.35434 0.340 398.3208 873.434378 0.340 426.6852 869.818029

0.360 286.8191 1151.3843 0.360 418.0908 916.785862 0.360 398.1893 811.727785

0.380 284.1796 1140.78849 0.380 472.6301 1036.37916 0.380 356.6658 727.08016

0.400 283.5592 1138.29801 0.400 482.638 1058.3244 0.400 374.8806 764.211894

0.420 208.6877 837.739678 0.420 360.5491 790.608923 0.420 430.0354 876.647571

0.440 180.1234 723.073372 0.440 276.1777 605.600053 0.440 527.6552 1075.65017

0.460 174.5465 700.685899 0.460 306.9253 673.023122 0.460 475.5832 969.498923

0.480 181.0059 726.616012 0.480 309.5488 678.77591 0.480 408.1104 831.952418

0.500 144.819 581.350134 0.500 279.0629 611.926694 0.500 371.5678 757.458594

0.520 115.4843 463.591195 0.520 251.379 551.22168 0.520 343.0793 699.383435

0.540 104.8864 421.047809 0.540 244.8804 536.971606 0.540 343.2691 699.770351

0.560 117.3754 471.18268 0.560 245.9984 539.423147 0.560 360.5529 735.004197

0.580 121.8365 489.090973 0.580 222.5478 488.000876 0.580 396.7843 808.863626

0.600 124.2144 498.63663 0.600 206.0192 451.757106 0.600 335.6381 684.214195

0.620 119.9579 481.549667 0.620 201.6595 442.197194 0.620 332.9043 678.641214

0.640 136.2908 547.115191 0.640 191.407 419.715601 0.640 331.1535 675.072125

0.660 140.849 565.413275 0.660 191.1305 419.109294 0.660 300.7589 613.111291

0.680 149.5712 600.426996 0.680 190.0601 416.76213 0.680 260.6642 531.376342

0.700 149.3793 599.656648 0.700 173.3181 380.050419 0.700 260.129 530.285311

0.720 154.9749 622.119189 0.720 158.7675 348.14399 0.720 276.9076 564.489284

0.740 154.8137 621.472081 0.740 145.8615 319.843826 0.740 292.8508 596.990254

0.760 147.3994 591.708691 0.760 133.3584 292.427137 0.760 285.4873 581.979409

0.780 142.9725 573.937688 0.780 120.5193 264.27367 0.780 257.5198 524.966333

0.800 139.0903 558.353286 0.800 121.309 266.005318 0.800 224.3291 457.305516

0.820 132.2145 530.751609 0.820 118.3451 259.506104 0.820 212.6161 433.42801

0.840 122.1677 490.420516 0.840 98.74842 216.534675 0.840 215.9995 440.325231

0.860 111.0424 445.759977 0.860 89.19894 195.594658 0.860 212.4758 433.142002

0.880 99.84404 400.806151 0.880 84.81004 185.970716 0.880 190.6165 388.580781

0.900 89.49343 359.255467 0.900 87.63553 192.166426 0.900 169.7385 346.019988


26


DEL CENTRO DEL PERU

FACULTAD DE

INGENIERIA CIVIL



de la Educacin

0.920 80.4265 322.857888 0.920 90.51279 198.475657 0.920 152.6146 311.112105

0.940 72.52621 291.143579 0.940 89.51579 196.289444 0.940 144.7177 295.013899

0.960 65.27988 262.054475 0.960 88.25615 193.527316 0.960 144.919 295.424259

0.980 65.85565 264.365801 0.980 77.94607 170.919463 0.980 145.9793 297.585731

1.000 70.20353 281.819593 1.000 80.78105 177.135982 1.000 145.3093 296.219904

1.020 67.34583 270.347864 1.020 80.4921 176.502375 1.020 143.7524 293.046089

1.040 58.8588 236.27819 1.040 77.63025 170.226935 1.040 142.3529 290.193142

1.060 52.32209 210.03773 1.060 69.76171 152.97287 1.060 140.1589 285.720569

1.080 49.10987 197.142844 1.080 66.43999 145.689031 1.080 139.5996 284.58041

1.100 46.80032 187.871566 1.100 69.48839 152.373536 1.100 135.1982 275.607947

1.120 41.46609 166.458248 1.120 72.80786 159.652441 1.120 126.8069 258.501884

1.140 40.64705 163.170357 1.140 73.33776 160.814401 1.140 126.5807 258.040764

1.160 40.34421 161.95466 1.160 70.469 154.523809 1.160 119.2159 243.02727

1.180 39.25497 157.5821 1.180 68.37565 149.933529 1.180 108.9795 222.159883

1.200 37.42161 150.222402 1.200 65.89929 144.503389 1.200 102.1518 208.241292

1.220 34.97753 140.411077 1.220 61.77065 135.450143 1.220 100.7723 205.429116

1.240 32.30082 129.6659 1.240 58.34666 127.942047 1.240 102.1714 208.281248

1.260 32.66249 131.11776 1.260 55.18999 121.020129 1.260 106.1158 216.322094

1.280 33.99701 136.474954 1.280 53.2778 116.827095 1.280 107.4276 218.996261

1.300 34.3294 137.809274 1.300 54.33703 119.149766 1.300 106.4298 216.962198

1.320 34.20781 137.321173 1.320 54.40705 119.303305 1.320 104.1351 212.284343

1.340 33.24244 133.445867 1.340 53.65274 117.649261 1.340 101.524 206.961492

1.360 33.76683 135.550937 1.360 51.94879 113.912854 1.360 99.05005 201.918228

1.380 32.80549 131.691808 1.380 49.61602 108.797576 1.380 97.60766 198.977847

1.400 30.86322 123.894911 1.400 48.95227 107.342111 1.400 98.12601 200.034528

1.420 28.16348 113.057284 1.420 49.33105 108.172696 1.420 97.93467 199.644472

1.440 25.16463 101.018934 1.440 49.39126 108.304724 1.440 94.02248 191.669288

1.460 22.24145 89.2843476 1.460 49.80437 109.210588 1.460 90.61311 184.719125

1.480 20.2099 81.1290513 1.480 48.60044 106.570621 1.480 85.00836 173.293576

1.500 18.87946 75.7882364 1.500 44.05782 96.6096036 1.500 78.64396 160.319445

AMORTIGUAMIENTO 7%:

PGA: 2.17288 1.45689463 3.74356039

7035 7036 7038

Tiempo(s) cm/seg2 escalado. 0.30g Tiempo(s) cm/seg2 Norm. 0.30g Tiempo(s) cm/seg2 Norm. 0.30g

0.000 180.59 392.4 0.000 269.34 392.4 0.000 104.82 392.4

0.020 180.7151 392.671827 0.020 269.9389 393.272534 0.020 104.9927 393.046513

0.040 180.9124 393.100536 0.040 269.2359 392.248337 0.040 104.7882 392.280955

0.060 272.519 592.150482 0.060 411.8564 600.031378 0.060 167.9675 628.79648

0.080 493.2281 1071.72438 0.080 701.3146 1021.74148 0.080 210.3484 787.451938

0.100 431.0577 936.635702 0.100 736.281 1072.68384 0.100 225.134 842.802725

0.120 495.9016 1077.53357 0.120 751.48 1094.82718 0.120 255.1572 955.196387

0.140 364.78 792.62236 0.140 597.4382 870.404506 0.140 211.1811 790.569201


27


DEL CENTRO DEL PERU

FACULTAD DE

INGENIERIA CIVIL



de la Educacin

0.160 410.6826 892.3631 0.160 501.0141 729.924753 0.160 243.8308 912.795325

0.180 396.4594 861.457825 0.180 424.528 618.492564 0.180 191.4111 716.559012

0.200 362.3542 787.351393 0.200 460.0936 670.307896 0.200 169.4642 634.399467

0.220 486.5087 1057.12395 0.220 488.2604 711.343955 0.220 162.0772 606.745786

0.240 441.784 959.942641 0.240 575.9427 839.087828 0.240 207.6874 777.490324

0.260 322.758 701.31369 0.260 454.3986 662.010881 0.260 241.0658 902.44438

0.280 341.7047 742.482553 0.280 404.079 588.700526 0.280 192.0348 718.893871

0.300 435.5927 946.489703 0.300 471.6951 687.210059 0.300 216.5213 810.560562

0.320 379.2237 824.006755 0.320 560.074 815.968804 0.320 231.625 867.102175

0.340 290.7469 631.757481 0.340 587.0234 855.23124 0.340 214.5757 803.277091

0.360 267.3631 580.947342 0.360 569.9071 830.294594 0.360 215.1091 805.273906

0.380 243.263 528.58077 0.380 540.0743 786.831348 0.380 190.6499 713.709414

0.400 243.9428 530.057892 0.400 498.8034 726.703996 0.400 150.5775 563.695965

0.420 271.3123 589.528471 0.420 443.9609 646.804252 0.420 159.1412 595.754693

0.440 292.3505 635.241908 0.440 395.7194 576.521469 0.440 169.3793 634.081638

0.460 293.0515 636.765096 0.460 353.9979 515.73764 0.460 151.4518 566.968959

0.480 272.5907 592.306278 0.480 348.1732 507.251666 0.480 121.2148 453.774924

0.500 253.0399 549.824779 0.500 353.9819 515.71433 0.500 106.5803 398.989789

0.520 244.9762 532.303344 0.520 366.7256 534.280558 0.520 107.987 404.255856

0.540 257.1871 558.836137 0.540 368.1694 536.384022 0.540 108.2343 405.181638

0.560 271.8454 590.686832 0.560 337.9001 492.284842 0.560 124.0762 464.486748

0.580 268.1951 582.755176 0.580 284.9808 415.186998 0.580 128.455 480.87905

0.600 251.0282 545.4536 0.600 258.4175 376.487068 0.600 119.1924 446.203947

0.620 225.3137 489.579134 0.620 221.9188 323.312308 0.620 102.5054 383.735155

0.640 200.2459 435.109869 0.640 190.594 277.675375 0.640 98.03253 366.990696

0.660 176.539 383.597672 0.660 170.1778 247.931123 0.660 104.9165 392.761254

0.680 157.9608 343.229514 0.680 163.5168 238.226748 0.680 109.659 410.515089

0.700 145.08 315.24111 0.700 161.0891 234.689845 0.700 112.8741 422.55101

0.720 136.0585 295.638493 0.720 163.6588 238.433627 0.720 115.3724 431.903547

0.740 128.747 279.751497 0.740 170.3136 248.128969 0.740 111.9605 419.130893

0.760 121.5449 264.102214 0.760 162.8528 237.25937 0.760 105.1294 393.558258

0.780 114.9833 249.844659 0.780 151.6611 220.954242 0.780 97.77182 366.014713

0.800 108.7344 236.266563 0.800 147.37 214.702562 0.800 90.88027 340.215779

0.820 101.9048 221.426677 0.820 142.0084 206.891276 0.820 82.977 310.62941

0.840 95.78367 208.126209 0.840 135.2014 196.974194 0.840 74.55518 279.101819

0.860 91.94004 199.774471 0.860 129.8888 189.234295 0.860 65.62442 245.668979

0.880 89.73615 194.985687 0.880 131.7645 191.966993 0.880 57.81098 216.418895

0.900 87.21956 189.517445 0.900 135.118 196.852689 0.900 51.82607 194.014023

0.920 82.82497 179.968538 0.920 134.0955 195.363014 0.920 47.98828 179.647024

0.940 80.68188 175.311865 0.940 124.4473 181.306603 0.940 45.96117 172.058415

0.960 78.50241 170.576143 0.960 112.0018 163.174821 0.960 43.66132 163.448788

0.980 75.8212 164.750201 0.980 99.79185 145.386211 0.980 44.23465 165.595084

1.000 75.13201 163.252676 1.000 91.15586 132.804483 1.000 46.19837 172.946388

1.020 74.25443 161.345802 1.020 88.42207 128.821639 1.020 47.21605 176.756135

1.040 72.64318 157.844752 1.040 83.79918 122.086575 1.040 47.52356 177.907317

1.060 70.18514 152.503732 1.060 78.34742 114.143936 1.060 47.38078 177.372811

1.080 67.22314 146.067668 1.080 74.1274 107.995811 1.080 46.64214 174.607668


28


DEL CENTRO DEL PERU

FACULTAD DE

INGENIERIA CIVIL



de la Educacin

1.100 63.36478 137.683923 1.100 70.54404 102.775233 1.100 45.0192 168.532094

1.120 58.88731 127.954928 1.120 66.2716 96.5507382 1.120 42.51974 159.175214

1.140 54.14212 117.64421 1.140 61.97152 90.2859748 1.140 41.74594 156.278447

1.160 49.28151 107.082699 1.160 57.33237 83.5272221 1.160 42.00734 157.257014

1.180 44.58908 96.8866216 1.180 52.78031 76.8953503 1.180 41.36835 154.864916

1.200 41.73999 90.6958972 1.200 51.41029 74.8993755 1.200 40.50205 151.62187

1.220 39.38815 85.5856363 1.220 49.64263 72.3240811 1.220 39.43362 147.622138

1.240 37.47773 81.4345271 1.240 47.72787 69.5344776 1.240 38.42607 143.850314

1.260 35.77485 77.734377 1.260 50.54742 73.6422648 1.260 37.53937 140.530899

1.280 34.08925 74.0717742 1.280 53.69466 78.2274619 1.280 36.63158 137.132532

1.300 33.78212 73.4044182 1.300 55.96159 81.53014 1.300 35.45452 132.726137

1.320 35.52504 77.1915704 1.320 57.17946 83.3044483 1.320 36.48983 136.601882

1.340 37.94878 82.4580612 1.340 57.36258 83.5712348 1.340 36.43651 136.402276

1.360 40.73386 88.5096997 1.360 56.85436 82.8308119 1.360 35.03416 131.152494

1.380 43.33741 94.1668956 1.380 56.01189 81.6034218 1.380 32.93166 123.281658

1.400 45.32435 98.4842734 1.400 55.12487 80.3111272 1.400 30.31923 113.501868

1.420 46.41816 100.860989 1.420 54.38971 79.2400765 1.420 29.20591 109.334088

1.440 46.83885 101.775097 1.440 53.93276 78.5743485 1.440 28.50109 106.695552

1.460 46.65347 101.372289 1.460 53.82891 78.42305 1.460 27.35607 102.4091

1.480 45.73589 99.3784996 1.480 53.93898 78.5834104 1.480 26.22202 98.1637154

1.500 44.44001 96.5627107 1.500 54.15138 78.8928548 1.500 25.07059 93.8532677

4.01432225 2.19279128 2.03854746

7039 7050 7051


Tiempo(s) cm/seg2 Norm. 0.30g Tiempo(s) cm/seg2 Norm. 0.30g

0.000 97.75 392.4 0.000 178.95 392.4 0.000 192.49 392.4

0.020 97.89438 392.979588 0.020 179.1932 392.933287 0.020 192.7635 392.957543

0.040 97.76846 392.474104 0.040 178.9251 392.345399 0.040 193.1209 393.68612

0.060 129.4255 519.555664 0.060 189.336 415.17433 0.060 241.6391 492.592773

0.080 182.8813 734.144472 0.080 284.9818 624.905607 0.080 320.9799 654.332759

0.100 209.6578 841.633972 0.100 340.4378 746.50904 0.100 411.7946 839.462835

0.120 214.3587 860.504899 0.120 339.2188 743.836027 0.120 496.2525 1011.63427

0.140 286.6928 1150.87729 0.140 349.1714 765.660002 0.140 379.272 773.163971

0.160 180.6787 725.302526 0.160 323.3021 708.934026 0.160 369.9245 754.108649

0.180 186.6806 749.396086 0.180 309.9931 679.750167 0.180 410.0702 835.947563

0.200 237.5401 953.562509 0.200 326.2108 715.312198 0.200 405.4877 826.60592

0.220 272.1126 1092.34766 0.220 346.379 759.536852 0.220 375.888 766.265527

0.240 268.1016 1076.24622 0.240 327.6194 718.400964 0.240 413.3361 842.605256

0.260 196.1734 787.503245 0.260 297.8192 653.055346 0.260 416.3793 848.808963

0.280 199.6666 801.526075 0.280 361.7556 793.254526 0.280 415.2921 846.592654

0.300 195.2802 783.917652 0.300 408.932 896.702525 0.300 395.4167 806.075708

0.320 171.319 687.729674 0.320 392.3028 860.23816 0.320 402.2745 820.055659

0.340 175.2475 703.499939 0.340 367.3698 805.565295 0.340 359.8521 733.575583

0.360 215.2119 863.929919 0.360 368.1012 807.169102 0.360 336.4356 685.839937

0.380 220.6477 885.750972 0.380 376.0072 824.50531 0.380 321.5776 655.551199

0.400 212.3626 852.49191 0.400 368.1436 807.262077 0.400 328.5545 669.77394


29


DEL CENTRO DEL PERU

FACULTAD DE

INGENIERIA CIVIL



de la Educacin

0.420 181.1864 727.340597 0.420 309.3997 678.448965 0.420 335.4691 683.869681

0.440 155.9015 625.83886 0.440 263.7984 578.454832 0.440 386.5981 788.098574

0.460 152.1814 610.90518 0.460 254.4866 558.035998 0.460 368.777 751.769416

0.480 147.1506 590.709928 0.480 245.3914 538.092123 0.480 310.3097 632.58105

0.500 128.9158 517.509564 0.500 223.5237 490.140821 0.500 282.5789 576.050498

0.520 110.7016 444.391896 0.520 196.3883 430.638552 0.520 285.2994 581.596366

0.540 102.1221 409.951018 0.540 199.22 436.847879 0.540 288.7488 588.628132

0.560 100.0588 401.668267 0.560 196.5451 430.982382 0.560 304.6277 620.998023

0.580 98.78249 396.544748 0.580 182.316 399.780935 0.580 305.7185 623.221671

0.600 98.70415 396.230266 0.600 175.3198 384.439729 0.600 281.6562 574.16953

0.620 93.91261 376.99548 0.620 171.7613 376.636681 0.620 271.4506 553.36493

0.640 105.2711 422.592119 0.640 167.1116 366.44086 0.640 265.6134 541.465521

0.660 109.5616 439.815569 0.660 162.2775 355.840687 0.660 248.5689 506.719499

0.680 113.1644 454.278369 0.680 153.9373 337.552369 0.680 237.1843 483.511452

0.700 118.2348 474.632588 0.700 139.951 306.883333 0.700 235.7742 480.636896

0.720 121.4052 487.359596 0.720 128.3224 281.38424 0.720 238.0465 485.269087

0.740 121.2215 486.622165 0.740 120.0491 263.24262 0.740 238.2556 485.695347

0.760 118.89 477.262772 0.760 110.797 242.954696 0.760 229.3316 467.50335

0.780 114.9381 461.398572 0.780 98.63661 216.289499 0.780 213.1277 434.470931

0.800 109.0685 437.836106 0.800 91.24706 200.085758 0.800 194.0063 395.49105

0.820 103.3173 414.748936 0.820 84.7796 185.903968 0.820 174.7468 356.229645

0.840 98.05143 393.610037 0.840 75.08298 164.641304 0.840 156.928 319.905175

0.860 91.49213 367.278893 0.860 72.68534 159.38378 0.860 154.1904 314.324448

0.880 84.65855 339.846701 0.880 71.71847 157.263636 0.880 148.8717 303.482025

0.900 77.13048 309.626602 0.900 71.46303 156.703509 0.900 143.4096 292.347275

0.920 70.47393 282.905065 0.920 71.91576 157.696252 0.920 135.2015 275.614674

0.940 63.70876 255.747493 0.940 70.88164 155.428642 0.940 127.8517 260.631758

0.960 57.01136 228.861971 0.960 66.97912 146.87123 0.960 124.523 253.846045

0.980 53.94798 216.564576 0.980 61.57785 135.027373 0.980 124.3781 253.550659

1.000 50.77419 203.823961 1.000 59.54878 130.578046 1.000 122.8728 250.482034

1.020 47.56487 190.940716 1.020 60.37922 132.399027 1.020 120.3585 245.356514

1.040 44.82045 179.92373 1.040 58.50029 128.278926 1.040 120.1839 245.000584

1.060 41.0634 164.84172 1.060 54.61947 119.769098 1.060 119.0747 242.739427

1.080 38.48116 154.475777 1.080 54.59367 119.712524 1.080 115.996 236.463351

1.100 36.53771 146.674142 1.100 54.90245 120.389614 1.100 110.8565 225.986236

1.120 36.64275 147.095807 1.120 55.10853 120.841504 1.120 104.0064 212.021982

1.140 36.37575 146.023983 1.140 55.1361 120.901959 1.140 101.9776 207.886177

1.160 35.67663 143.21749 1.160 54.12349 118.681517 1.160 99.47636 202.787281

1.180 34.54906 138.69106 1.180 52.20323 114.470788 1.180 95.31544 194.305048

1.200 33.22708 133.384207 1.200 49.86781 109.349699 1.200 92.74684 189.068835

1.220 31.53385 126.587036 1.220 48.4873 106.322529 1.220 93.20741 190.007729

1.240 29.5599 118.662964 1.240 46.31228 101.553164 1.240 93.98962 191.602301

1.260 27.41282 110.043893 1.260 46.45396 101.863839 1.260 94.56033 192.76572

1.280 26.21375 105.23044 1.280 46.88683 102.813032 1.280 94.76769 193.188433

1.300 26.4753 106.280386 1.300 47.0909 103.260515 1.300 94.20794 192.047357

1.320 26.46154 106.225149 1.320 46.81047 102.645591 1.320 93.0761 189.740047

1.340 26.07653 104.679595 1.340 45.95134 100.761698 1.340 91.69713 186.928951


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1.360 25.84803 103.762322 1.360 44.78746 98.2095519 1.360 90.0115 183.492714

1.380 25.47343 102.258557 1.380 43.21755 94.7670669 1.380 88.47518 180.360853

1.400 24.4564 98.1758707 1.400 41.31738 90.6003907 1.400 86.69087 176.723453

1.420 23.13347 92.8652034 1.420 39.9944 87.6993717 1.420 84.25737 171.762647

1.440 21.66342 86.9639489 1.440 39.25503 86.0780876 1.440 81.24567 165.623154

1.460 20.30055 81.4929496 1.460 37.82453 82.9412996 1.460 77.55337 158.096225

1.480 19.33752 77.6270368 1.480 35.65262 78.1787543 1.480 73.53331 149.901142

1.500 18.50532 74.2863178 1.500 33.59035 73.6566267 1.500 69.77321 142.236

8. ESPECTRO CON LA NORMA E030


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de la Educacin

DATOS TIPO FACTOR DESCRIPCION

Z zona 1 0.1 Z 0.1

S S1 1Roca o suelo

r ig idoU 1

R

U C-comunes 1 S 1

RSIN

REDUCCIONES

1 R 1

Tp 0.4 Tp 0.4

T (seg) C Sa cm/seg

0.0 2.500 245.250

0.1 2.500 245.250

0.2 2.500 245.250

0.3 2.500 245.250

0.4 2.500 245.250

0.5 2.000 196.200

0.6 1.667 163.500

0.7 1.429 140.143

0.8 1.250 122.625

0.9 1.111 109.000

1.0 1.000 98.100

1.1 0.909 89.182

1.2 0.833 81.750

1.3 0.769 75.462

1.4 0.714 70.071

1.5 0.667 65.400

1.6 0.625 61.313

1.7 0.588 57.706

1.8 0.556 54.500

1.9 0.526 51.632

2.0 0.500 49.050

2.1 0.476 46.714 T (seg) C Sa cm/seg

2.2 0.455 44.591 0.0 2.500 245.250

2.3 0.435 42.652 0.1 2.500 245.250

2.4 0.417 40.875 0.2 2.500 245.250

2.5 0.400 39.240 0.3 2.500 245.250

2.6 0.385 37.731 0.4 2.500 245.250

2.7 0.370 36.333 0.5 2.000 196.200

2.8 0.357 35.036 0.6 1.667 163.500

2.9 0.345 33.828 0.7 1.429 140.143

3.0 0.333 32.700 0.8 1.250 122.625

0.9 1.111 109.000

1.0 1.000 98.100

1.2 0.833 81.750

1.4 0.714 70.071

1.6 0.625 61.313

1.8 0.556 54.500

2.0 0.500 49.050

2.3 0.444 43.600

2.5 0.400 39.240

2.8 0.364 35.673

3.0 0.333 32.700

ACELERACIN ESPECTRAL:

ACELERACION ESPECTRAL (Sa)

SEGN NORMA PERUANA NTE E-030

RESUMEN

ACELERACIN ESPECTRAL:

FORMULAS:

Sa = ZUSC * g

2.5C , 5.2

T

TC

p

0.000

50.000

100.000

150.000

200.000

250.000

300.000

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5

Sa (

cm/s

eg2

9

T

ESPECTRO

Sa cm/seg


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de la Educacin

9. ESPECTRO CON EL PROYECTO DE NORMA E030 2014

1 Zonificacin, Segn E.030-2014 (2.1)

Zona : 3 Z = 0.35 g

2 Parmetros de Sitio, Segn E.030-2014 (2.4)

Perfil Tipo : S3 S = 1.20

TP = 1.00

TL = 1.60

3 Categora del Edificio, Segn E.030-2014 (3.1)

Categora : Comn C U = 1.00

4 Coeficiente Bsico de Reduccin de Fuerzas Ssmicas, Segn E.030-2014 (3.4)

Categora :

R0 = 7

5 Restricciones de Irregularidad, Segn E.030-2014 (3.7)

Restricciones :

6 Factores de Irregularidad, Segn E.030-2014 (3.6)Tomar en consideracin el punto 5 sobre restricciones.

Irregularidad en Altura, Ia :

Ia = 1.00

Irregularidad en Planta, Ip :

Ip = 1.00 (Para el tipo 03 se debe ingresar el valor manualmente)

7 Coeficiente de Reduccin de Fuerzas Ssmicas, Segn E.030-2014 (3.8)

R = R0 x Ia x Ip = 7

8 Clculo y Grfico del Espectro de Sismo de Diseo(Sa/g)

C T (s) Sa/ g

2.50 0.00 0.150

2.50 0.02 0.150

2.50 0.04 0.150

2.50 0.06 0.150

2.50 0.08 0.150

2.50 0.10 0.150

2.50 0.12 0.150

2.50 0.14 0.150

2.50 0.16 0.150

2.50 0.18 0.150

2.50 0.20 0.150

2.50 0.25 0.150

2.50 0.30 0.150

2.50 0.35 0.150

2.50 0.40 0.150

2.50 0.45 0.150

2.50 0.50 0.150

2.50 0.55 0.150

2.50 0.60 0.150

2.50 0.65 0.150

2.50 0.70 0.150

2.50 0.75 0.150

2.50 0.80 0.150

2.50 0.85 0.150

2.50 0.90 0.150

2.50 0.95 0.150

2.50 1.00 0.150

2.27 1.10 0.136

2.08 1.20 0.125

1.92 1.30 0.115

1.79 1.40 0.107

1.67 1.50 0.100

1.56 1.60 0.094

1.38 1.70 0.083

1.23 1.80 0.074

1.11 1.90 0.066

1.00 2.00 0.060

0.83 2.20 0.050

0.69 2.40 0.042

0.59 2.60 0.036

0.51 2.80 0.031

0.44 3.00 0.027

0.25 4.00 0.015

0.16 5.00 0.010

0.11 6.00 0.007

0.08 7.00 0.005

0.06 8.00 0.004

0.05 9.00 0.003

0.04 10.00 0.002

9 Clculo y Grfico de los Espectros de Aceleraciones, Velocidades y Desplazamientos

Sa (m/ s2) Sv (m/ s) Sd (m)

1.47 0.000 0.000

1.47 0.005 0.000

1.47 0.009 0.000

1.47 0.014 0.000

1.47 0.019 0.000

1.47 0.023 0.000

1.47 0.028 0.001

1.47 0.033 0.001

1.47 0.037 0.001

1.47 0.042 0.001

1.47 0.047 0.001

1.47 0.059 0.002

1.47 0.070 0.003

1.47 0.082 0.005

1.47 0.094 0.006

1.47 0.105 0.008

1.47 0.117 0.009

1.47 0.129 0.011

1.47 0.141 0.013

1.47 0.152 0.016

1.47 0.164 0.018

1.47 0.176 0.021

1.47 0.187 0.024

1.47 0.199 0.027

1.47 0.211 0.030

1.47 0.222 0.034

1.47 0.234 0.037

1.34 0.234 0.041

1.23 0.234 0.045

1.13 0.234 0.048

1.05 0.234 0.052

0.98 0.234 0.056

0.92 0.234 0.060

0.81 0.220 0.060

0.73 0.208 0.060

0.65 0.197 0.060

0.59 0.187 0.060

0.49 0.170 0.060

0.41 0.156 0.060

0.35 0.144 0.060

0.30 0.134 0.060

0.26 0.125 0.060

0.15 0.094 0.060

0.09 0.075 0.060

0.07 0.062 0.060

0.05 0.054 0.060

0.04 0.047 0.060

0.03 0.042 0.060

0.02 0.037 0.060

Concreto Armado: dual

No se permiten irregularidades extremas

01 Regular

01 Regular

ESPECTRO DE SISMO SEGN EL PROYECTO DE LA NORMA E.030-2014

Copiar todos los valores de T(s) y Sa/g y pegar como valores sin frmulas en un libro nuevo y guardarlo como texto delimitado por tabulaciones, as podr

importar el espectro de diseo en programas de clculo como el Etabs y Sap2000. Ya que los valores de las aceleraciones no incluyen el valor de la

aceleracin de la gravedad, el factor de escala en el programa deber ser igual a 9.81

0.00

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.00 2.00 4.00 6.00 8.00 10.00

Sa

/g

PERIODO T

ESPECTRO DE SISM O DE DISEO 10/50

Sa

Tp

TL

0.00

0.20

0.40

0.60

0.80

1.00

1.20

1.40

1.60

0.00 2.00 4.00 6.00 8.00 10.00

Sa

(m

/s2

)

PERIODO T

ESPECTRO DE ACELERACIONES E.030-2014 10/50

Sa

Tp

TL

0.00

0.05

0.10

0.15

0.20

0.25

0.00 2.00 4.00 6.00 8.00 10.00

Sv

(m

/s)

PERIODO T

ESPECTRO DE VELOCIDADES E.030-2014 10/50

SV

Tp

TL

0.00

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.00 2.00 4.00 6.00 8.00 10.00

Sd

(m

)

PERIODO T

ESPECTRO DE DESPLAZAM IENTOS E.030-2014 10/50

Sd

Tp

TL


33


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de la Educacin


Zona : 3 Z = 0.35 g



TP = 1.00

TL = 1.60




Categora :

R0 = 7


Restricciones :



Ia = 1.00






C T (s) Sa/ g

2.50 0.00 0.150

2.50 0.02 0.150

2.50 0.04 0.150

2.50 0.06 0.150

2.50 0.08 0.150

2.50 0.10 0.150

2.50 0.12 0.150

2.50 0.14 0.150

2.50 0.16 0.150

2.50 0.18 0.150

2.50 0.20 0.150

2.50 0.25 0.150

2.50 0.30 0.150

2.50 0.35 0.150

2.50 0.40 0.150

2.50 0.45 0.150

2.50 0.50 0.150

2.50 0.55 0.150

2.50 0.60 0.150

2.50 0.65 0.150

2.50 0.70 0.150

2.50 0.75 0.150

2.50 0.80 0.150

2.50 0.85 0.150

2.50 0.90 0.150

2.50 0.95 0.150

2.50 1.00 0.150

2.27 1.10 0.136

2.08 1.20 0.125

1.92 1.30 0.115

1.79 1.40 0.107

1.67 1.50 0.100

1.56 1.60 0.094

1.38 1.70 0.083

1.23 1.80 0.074

1.11 1.90 0.066

1.00 2.00 0.060

0.83 2.20 0.050

0.69 2.40 0.042

0.59 2.60 0.036

0.51 2.80 0.031

0.44 3.00 0.027

0.25 4.00 0.015

0.16 5.00 0.010

0.11 6.00 0.007

0.08 7.00 0.005

0.06 8.00 0.004

0.05 9.00 0.003

0.04 10.00 0.002



1.47 0.000 0.000

1.47 0.005 0.000

1.47 0.009 0.000

1.47 0.014 0.000

1.47 0.019 0.000

1.47 0.023 0.000

1.47 0.028 0.001

1.47 0.033 0.001

1.47 0.037 0.001

1.47 0.042 0.001

1.47 0.047 0.001

1.47 0.059 0.002

1.47 0.070 0.003

1.47 0.082 0.005

1.47 0.094 0.006

1.47 0.105 0.008

1.47 0.117 0.009

1.47 0.129 0.011

1.47 0.141 0.013

1.47 0.152 0.016

1.47 0.164 0.018

1.47 0.176 0.021

1.47 0.187 0.024

1.47 0.199 0.027

1.47 0.211 0.030

1.47 0.222 0.034

1.47 0.234 0.037

1.34 0.234 0.041

1.23 0.234 0.045

1.13 0.234 0.048

1.05 0.234 0.052

0.98 0.234 0.056

0.92 0.234 0.060

0.81 0.220 0.060

0.73 0.208 0.060

0.65 0.197 0.060

0.59 0.187 0.060

0.49 0.170 0.060

0.41 0.156 0.060

0.35 0.144 0.060

0.30 0.134 0.060

0.26 0.125 0.060

0.15 0.094 0.060

0.09 0.075 0.060

0.07 0.062 0.060

0.05 0.054 0.060

0.04 0.047 0.060

0.03 0.042 0.060

0.02 0.037 0.060



01 Regular

01 Regular





0.00

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.00 2.00 4.00 6.00 8.00 10.00

Sa

/g

PERIODO T


Sa

Tp

TL

0.00

0.20

0.40

0.60

0.80

1.00

1.20

1.40

1.60

0.00 2.00 4.00 6.00 8.00 10.00

Sa

(m

/s2

)

PERIODO T


Sa

Tp

TL

0.00

0.05

0.10

0.15

0.20

0.25

0.00 2.00 4.00 6.00 8.00 10.00

Sv

(m

/s)

PERIODO T


SV

Tp

TL

0.00

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.00 2.00 4.00 6.00 8.00 10.00

Sd

(m

)

PERIODO T


Sd

Tp

TL


34


DEL CENTRO DEL PERU

FACULTAD DE

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de la Educacin


Zona : 3 Z = 0.35 g



TP = 1.00

TL = 1.60




Categora :

R0 = 7


Restricciones :



Ia = 1.00






C T (s) Sa/ g

2.50 0.00 0.150

2.50 0.02 0.150

2.50 0.04 0.150

2.50 0.06 0.150

2.50 0.08 0.150

2.50 0.10 0.150

2.50 0.12 0.150

2.50 0.14 0.150

2.50 0.16 0.150

2.50 0.18 0.150

2.50 0.20 0.150

2.50 0.25 0.150

2.50 0.30 0.150

2.50 0.35 0.150

2.50 0.40 0.150

2.50 0.45 0.150

2.50 0.50 0.150

2.50 0.55 0.150

2.50 0.60 0.150

2.50 0.65 0.150

2.50 0.70 0.150

2.50 0.75 0.150

2.50 0.80 0.150

2.50 0.85 0.150

2.50 0.90 0.150

2.50 0.95 0.150

2.50 1.00 0.150

2.27 1.10 0.136

2.08 1.20 0.125

1.92 1.30 0.115

1.79 1.40 0.107

1.67 1.50 0.100

1.56 1.60 0.094

1.38 1.70 0.083

1.23 1.80 0.074

1.11 1.90 0.066

1.00 2.00 0.060

0.83 2.20 0.050

0.69 2.40 0.042

0.59 2.60 0.036

0.51 2.80 0.031

0.44 3.00 0.027

0.25 4.00 0.015

0.16 5.00 0.010

0.11 6.00 0.007

0.08 7.00 0.005

0.06 8.00 0.004

0.05 9.00 0.003

0.04 10.00 0.002



1.47 0.000 0.000

1.47 0.005 0.000

1.47 0.009 0.000

1.47 0.014 0.000

1.47 0.019 0.000

1.47 0.023 0.000

1.47 0.028 0.001

1.47 0.033 0.001

1.47 0.037 0.001

1.47 0.042 0.001

1.47 0.047 0.001

1.47 0.059 0.002

1.47 0.070 0.003

1.47 0.082 0.005

1.47 0.094 0.006

1.47 0.105 0.008

1.47 0.117 0.009

1.47 0.129 0.011

1.47 0.141 0.013

1.47 0.152 0.016

1.47 0.164 0.018

1.47 0.176 0.021

1.47 0.187 0.024

1.47 0.199 0.027

1.47 0.211 0.030

1.47 0.222 0.034

1.47 0.234 0.037

1.34 0.234 0.041

1.23 0.234 0.045

1.13 0.234 0.048

1.05 0.234 0.052

0.98 0.234 0.056

0.92 0.234 0.060

0.81 0.220 0.060

0.73 0.208 0.060

0.65 0.197 0.060

0.59 0.187 0.060

0.49 0.170 0.060

0.41 0.156 0.060

0.35 0.144 0.060

0.30 0.134 0.060

0.26 0.125 0.060

0.15 0.094 0.060

0.09 0.075 0.060

0.07 0.062 0.060

0.05 0.054 0.060

0.04 0.047 0.060

0.03 0.042 0.060

0.02 0.037 0.060



01 Regular

01 Regular





0.00

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.00 2.00 4.00 6.00 8.00 10.00

Sa

/g

PERIODO T


Sa

Tp

TL

0.00

0.20

0.40

0.60

0.80

1.00

1.20

1.40

1.60

0.00 2.00 4.00 6.00 8.00 10.00

Sa

(m

/s2

)

PERIODO T


Sa

Tp

TL

0.00

0.05

0.10

0.15

0.20

0.25

0.00 2.00 4.00 6.00 8.00 10.00

Sv

(m

/s)

PERIODO T


SV

Tp

TL

0.00

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.00 2.00 4.00 6.00 8.00 10.00

Sd

(m

)

PERIODO T


Sd

Tp

TL


35


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Productiva y

Flores Flores - Elaboracion de Espectros

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