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exemplo psha pelo calculo de perigo sismico, Exercícios de Engenharia Civil

uma folha de excel para o calculo de perigo sismico

Tipologia: Exercícios

2012

Compartilhado em 25/06/2025

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1. EJEMPLO PSHA
Para la falla 01
m0= 5.00
α(m0)= 0.10
b= 1.00
Δm= 0.50
a) Usamos una frecuencia de discretización Δm=0.50
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1. EJEMPLO PSHA

b) Discretización de distancia de distribución N (m>m1-Δm/2)

d= 20 km Lo= 10 km L= 30 km Δr= 5 km

c) Probabilidad condicional de exceder 0.20g z= 0.2 ground motion level ln(z)= -1. m0= 5 d= 10 km

λ(m1) λ(m1)

N (m>m1+Δm/2) N (m>m1-Δm/2) N (m>m1+Δm/2)

U

V(0.2) P(v)

λ(m1)

  • Para la falla
  • m0= 5.
  • α(m0)= 0.
  • b= 1.
  • Δm= 0.
  • a) Usamos una frecuencia de discretización Δm=0.
  • mi m1-Δm/2 m1+Δm/ mu=
  • 5.00 5.00 5.25 0.
  • 5.50 5.25 5.75 0.
  • 6.00 5.75 6.25 0.
  • 6.50 6.25 6.75 0.
  • 7.00 6.75 7.
  • 7.50 7.25 7.
  • Para la falla
  • m0= 5.
  • α(m0)= 0.
  • b= 1.
  • Δm= 0.
  • mi m1-Δm/2 m1+Δm/ mu=
  • 5.00 5.00 5.25 0.
  • 5.50 5.25 5.75 0.
  • 6.00 5.75 6.25 0.
  • 6.50 6.25 6.75 0.
  • 7.00 6.75 7.
  • 7.50 7.25 7.
  • Para Falla
  • 5 3.64 5 0. mi X(mi) rj
  • 10 0.
  • 15 0.
  • 20 0.
  • 25 0.
  • 30 1.
  • 5.5 6.59 5 0.
  • 10 0.
  • 15 0.
  • 20 0.
  • 25 1.
  • 30 1.
  • 6 11.94 5 0.
  • 10 0.
  • 15 0.
  • 20 1.
  • 25 1.
  • 30 1.
  • 6.5 21.64 5 0.
  • 10 0.
  • 15 1.
  • 20 1.
  • 25 1.
  • 30 1.
  • 7 30.00 5 0.
  • 10 1.
  • 15 1.
  • 20 1.
  • 25 1.
  • 30 1.
  • 7.5 30.00 5 0.
  • 10 1.
  • 15 1.
  • 20 1.
  • 25 1.
  • 30 1.
  • Para Falla
  • 5 3.64 15 0. mi X(mi) rj
  • 20 0.
  • 25 0.
  • 30 0.
  • 35 0.
  • 40 1.
  • 5.5 6.59 15 0.
  • 20 0.
  • 25 0.
  • 30 0.
  • 35 0.
  • 40 1.
  • 6 11.94 15 0.
  • 20 0.
  • 25 0.
  • 30 0.
  • 35 1.
  • 40 1.
  • 6.5 21.64 15 0.
  • 20 0.
  • 25 1.
  • 30 1.
  • 35 1.
  • 40 1.
  • 7 30.00 15 0.
  • 20 1.
  • 25 1.
  • 30 1.
  • 35 1.
  • 40 1.
  • 7.5 30.00 15 0.
  • 20 1.
  • 25 1.
  • 30 1.
  • 35 1.
  • 40 1.
  • 5 10 -2.275 0.
  • 15 -2.681 0.
  • 20 -3.011 0.
  • 25 -3.288 0.
  • 30 -3.528 0.
  • 5.5 10 -1.939 0.
  • 15 -2.303 0.
  • 20 -2.604 0.
  • 25 -2.861 0.
  • 30 -3.085 0.
  • 6 10 -1.627 0.
  • 15 -1.949 0.
  • 20 -2.221 0.
  • 25 -2.456 0.
  • 30 -2.663 0.
  • 6.5 10 -1.340 0.
  • 15 -1.621 0.
  • 20 -1.862 0.
  • 25 -2.075 0.
  • 30 -2.264 0.
  • 7 10 -1.168 0.
  • 15 -1.398 0.
  • 20 -1.600 0.
  • 25 -1.782 0.
  • 30 -1.947 0.
  • 7.5 10 -1.031 0.
  • 15 -1.215 0.
  • 20 -1.381 0.
  • 25 -1.532 0.
  • 30 -1.672 0.
  • Para la falla d) Computación de Excedencia de Frecuencia
  • mu=6.
  • 5 0.04520 10 0. mi λ(m1) ri P(ri)
  • 15 0.
  • 20 0.
  • 25 0.
  • 30 0.
  • 5.5 0.03971 10 0.
  • 15 0.
  • 20 0.
  • 25 0.
  • 30 0.
  • 6 0.01256 10 0.
  • 15 0.
  • 20 0.
  • 25 0.
  • 6.5 0.00254 10 0.
  • 15 0.
  • 20 0.
  • Para la falla
  • mu=6.
  • 5 0.09039 20 0. mi λ(m1) ri P(ri)
  • 25 0.
  • 30 0.
  • 35 0.
  • 40 0.
  • 5.5 0.07941 20 0.
  • 25 0.
  • 30 0.
  • 35 0.
  • 40 0.
  • 6 0.02511 20 0.
  • 25 0.
  • 30 0.
  • 35 0.
  • 6.5 0.00508 20 0.
  • 25 0.
  • 30 0.
  • e) Frecuencia Excedente de 0.20g, v(0.2) Para las fallas 1 y
  • 0.03 6. α(m0) P(α) mu P(mu)
  • 0.03
  • 0.03 7.
  • 0.1 6.
  • 0.1
  • 0.1 7.
  • 0.3 6.
  • 0.3
  • 0.3 7.
  • 6.5 mu=
  • 0.05480 0.04520 0.10000 0.05579 0.
  • 0.01510 0.03971 0.05579 0.01695 0.
  • 0.00254 0.01256 0.01695 0.00467 0.
  • 0.00000 0.00254 0.00467 0.00079 0.
  • 0.00079 0.00000 0.
  • 6.5 mu= 7.
  • 0.10961 0.09039 0.20000 0.11219 0. λ(m1) λ(m1)
  • 0.03020 0.07941 0.11219 0.03504 0.
  • 0.00508 0.02511 0.03504 0.01065 0.
  • 0.00000 0.00508 0.01065 0.00293 0.
  • 0.00293 0.00049 0.
  • 0.00049 0.00000 0.
  • 0.0000 0.
  • 0.0000 0.
  • 0.2845 0.
  • 0.5447 0.
  • 0.7645 0.
  • 0.9717 0.
  • 0.0000 0.
  • 0.0000 0.
  • 0.3204 0.
  • 0.6135 0.
  • 0.8610 0.
  • 1.0000 0.
  • 0.0000 0.
  • 0.0000 0.
  • 0.4153 0.
  • 0.7953 0.
  • 1.0000 0.
  • 1.0000 0.
  • 0.0000 0.
  • 0.0000 0.
  • 0.8970 0.
  • 1.0000 0.
  • 1.0000 0.
  • 1.0000 0.
  • 0.0000 0.
  • 0.0000 1.
  • 1.0000 0.
  • 1.0000 0.
  • 1.0000 0.
  • 1.0000 0.
  • 0.0000 0.
  • 0.0000 1.
  • 1.0000 0.
  • 1.0000 0.
  • 1.0000 0.
  • 1.0000 0.
  • 0.0000 0.
  • 0.0000 0.
  • 0.0117 0.
  • 0.3366 0.
  • 0.5924 0.
  • 0.8239 0.
  • 0.0000 0.
  • 0.0000 0.
  • 0.0131 0.
  • 0.3791 0.
  • 0.6671 0.
  • 0.9279 0.
  • 0.0000 0.
  • 0.0000 0.
  • 0.0170 0.
  • 0.4914 0.
  • 0.8648 0.
  • 1.0000 0.
  • 0.0000 0.
  • 0.0000 0.
  • 0.0368 0.
  • 1.0000 0.
  • 1.0000 0.
  • 1.0000 0.
  • 0.0000 0.
  • 0.0000 1.
  • 1.0000 0.
  • 1.0000 0.
  • 1.0000 0.
  • 1.0000 0.
  • 0.0000 0.
  • 0.0000 1.
  • 1.0000 0.
  • 1.0000 0.
  • 1.0000 0.
  • 1.0000 0.
  • 1.190 0.
  • 1.910 0.
  • 2.500 0.
  • 3.000 0.
  • 3.430 0.
  • 0.670 0.
  • 1.420 0.
  • 2.030 0.
  • 2.550 0.
  • 3.010 0.
  • 0.040 0.
  • 0.810 0.
  • 1.460 0.
  • 2.020 0.
  • 2.510 0.
  • -0.770 0.
  • 0.030 0.
  • 0.720 0.
  • 1.330 0.
  • 1.870 0.
  • -1.260 0.
  • -0.600 0.
  • -0.030 0.
  • 0.490 0.
  • 0.960 0.
  • -1.650 0.
  • -1.130 0.
  • -0.650 0.
  • -0.220 0.
  • 0.180 0.
  • mu=6.5 mu=
  • 0.1160 0.00149 0.04421 10 0. P(Z>0.2) v(0.2) λ(m1) ri P(ri)
  • 0.0268 0.00032 15 0.
  • 0.0049 0.00005 20 0.
  • 0.0000 0 25 0.
  • 0.0000 0 30 0.
  • 0.2508 0.00319 0.03884 10 0.
  • 0.0767 0.00089 15 0.
  • 0.0199 0.00020 20 0.
  • 0.0040 0.00002 25 0.
  • 0.0000 0 30 0.
  • 0.4840 0.00252 0.01228 10 0.
  • 0.2082 0.00099 15 0.
  • 0.0710 0.00018 20 0.
  • 0.0204 0.00000 25 0.
  • 0.7801 0.00178 0.00388 10 0.
  • 0.4880 0.00013 15 0.
  • 0.2350 0.00000 20 0.
  • 0.00079 10 1.
  • 15 0.
  • mu=6.
  • 0.0049 0. P(Z>0.2) v(0.2)
  • 0.0000
  • 0.0000
  • 0.0000
  • 0.0000
  • 0.0199 0.
  • 0.0040
  • 0.0000
  • 0.0000
  • 0.0000
  • 0.0710 0.
  • 0.0204
  • 0.0047
  • 0.0000
  • 0.2350 0.
  • 0.0907
  • 0.0295
  • mu= 7.
  • 0.10000 0.05610 0.
  • 0.05610 0.01752 0.
  • 0.01752 0.00532 0.
  • 0.00532 0.00147 0.
  • 0.00147 0.00025 0.
  • 0.00025 0.00000 0.
  • mu=7 mu=7.
  • 0.1160 0.00146 0.04390 10 0. P(Z>0.2) v(0.2) λ(m1) ri P(ri)
  • 0.0268 0 15 0.
  • 0.0049 0 20 0.
  • 0.0000 0 25 0.
  • 0.0000 0 30 0.
  • 0.2508 0.00312 0.03857 10 0.
  • 0.0767 0 15 0.
  • 0.0199 0 20 0.
  • 0.0040 0 25 0.
  • 0.0000 0 30 0.
  • 0.4840 0.00247 0.01220 10 0.
  • 0.2082 0 15 0.
  • 0.0710 0 20 0.
  • 0.0204 0 25 0.
  • 0.7801 0.00272 0.00386 10 0.
  • 0.4880 0 15 0.
  • 0.2350 0 20 0.
  • 0.8972 0.00071 0.00122 10 1.
  • 0.7264 0 15 0.
  • 0.00025 10 1.
  • 15 0.
  • mu=7.
  • 0.08781 20 0. λ(m1) ri P(ri)
  • 25 0.
  • 30 0.
  • 35 0.
  • 40 0.
  • 0.07715 20 0.
  • 25 0.
  • 30 0.
  • 35 0.
  • 40 0.
  • 0.02440 20 0.
  • 25 0.
  • 30 0.
  • 35 0.
  • 0.00771 20 0.
  • 25 0.
  • 30 0.
  • 0.00244 20 1.
  • 25 0.
  • 0.00049 20 1.
  • 25 0.
  • mu=7.
  • 0.1160 0. P(Z>0.2) v(0.2)
  • 0.0268
  • 0.0049
  • 0.0000
  • 0.0000
  • 0.2508 0.