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hw3_solutions

# hw3_solutions - Jeffrey Hunt CE 227 Problem 8 Part(a The...

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Jeffrey Hunt 3/11/2006 CE 227 Problem 8 Part (a) The zip code for the site was chosen as 94704-1209 LOCATION 37.870925 Lat. -122.268424 Long. The interpolated Probabilistic ground motion values, in %g, at the requested point are: 10%PE in 50 yr 5%PE in 50 yr 2%PE in 50 yr PGA 71.95 95.78 116.84 0.2 sec SA 167.43 204.98 290.50 1.0 sec SA 63.78 95.50 111.82 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Part (b) Return period: ) 50 1 ln( 02 . 0 1 1 PE r e T = For PE 50 = 10%: ) 10 . 0 1 ln( 02 . 0 1 1 = e T r = 475 years For PE 50 = 2%: ) 02 . 0 1 ln( 02 . 0 1 1 = e T r = 2475 years Probability of occurrence in n yrs: where n n P P ) 1 ( 1 1 = r n T P 1 = To convert 10% PE in 50 years to x% PE in 75 years : 75 ) 475 1 1 ( 1 = n P = 14.62% probability of exceedance in 75 years To convert 2% PE in 50 years to x% PE in 75 years : 75 ) 2475 1 1 ( 1 = n P = 2.98% probability of exceedance in 75 years

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