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Report - PEER - University of California, Berkeley

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2.50.1000Spectral Accel. (g)2.01.51.00.550%/50 years10%/50 years2%/50 yearsAnnual Frequency0.01000.0010y = 0.0011x -2.8750.00 1 2 3 4Period (sec)0.00010.100 1.000 10.000Sa(T), gFigure 3. Uniform hazard spectra in fault-normal direction for the I-880 siteand resulting hazard curve.3.2 Seismic Demand (EDP Estimation)All simulations were carried out using OpenSees (2004). Numerous demand measurescan be monitored during the seismic response analysis, however, the eventual choiceis influenced by the damage models that are available to correlate the EDPs todifferent damage states. In this study, the peak tangential drift <strong>of</strong> the individualcolumns was selected as the primary EDP measure. This was dictated by theavailability <strong>of</strong> damage measures and corresponding decision variables as indicated inthe next two sections. Once the seismic demand parameters are computed, a best-fitcurve through the median <strong>of</strong> the natural logarithm <strong>of</strong> the simulations is determinedassuming a lognormal distribution, as follows:( ) bEDP = a S a(3)A typical set <strong>of</strong> simulations and the resulting curve-fit is displayed in Figure 4.6.0EDP, drift (%)5.04.03.02.00.84EDP = 1.54( S a )1.00.00.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6IM, Sa (g)Figure 4. Typical set <strong>of</strong> simulations resulting in EDP-IM relationship.69

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