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CE227_Hmk3_LinearSpectra_06 - University of California at...

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University of California at Berkeley Civil and Environmental Engineering Instructor: Stephen A. Mahin Spring Semester 2005 CEE 227 -- Earthquake Resistant Design Problem 8 - Simplified Probabilistic Site Hazard Analysis In the last problem, we are able to get an idea of the worst earthquake ground shaking that can occur at a site. This is quite useful, especially for risk adverse clients as well as for critical or hazardous facilities. It is also essential for calculation of a deterministic estimate of shaking from a characteristic earthquake on a nearby fault. However, for normal circumstances, and for parts of the country where the seismicity is lower than California, the likelihood of a worst-case earthquake is very small during the life of the structure. In such cases, a probabilistic hazard analysis is appropriate. Such analyses are more complex and require much more information to be able to properly judge uncertainties in the length of rupture, location of the hypocenter, direction of rupture and so on. The US Geological Survey has done a probabilistic hazard analysis for the entire U.S. This is done based on zip codes, so it may not be sufficiently accurate for certain locations (near-fault locations, rapidly changing soil conditions, etc.). However, it is the basis for new guidelines and codes such as FEMA 273/356, FEMA 350-352, FEMA 365 and IBC 2000. In this problem, we will construct an elastic response spectrum for 5% viscous damping corresponding to this probabilistic hazard map. a. Log on to: http://earthquake.usgs.gov/research/hazmaps/. There are various options, but for the most part we will use the “Seismic Design Values for Buildings” section. A separate note will be distributed to help you use this site (finding latitudes and longitudes, which maps to look at, etc.). Assume that the address of the building is 2108 Shattuck Avenue, Berkeley, CA. Find the estimated peak ground acceleration at the site for 10%, 5% and 2% probabilities of exceedence in 50 years. a. From the USGS site, find the Pseudo-Spectral Acceleration for our address corresponding to these three probability levels for 0.2 and 1 second periods.
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