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Report - PEER - University of California, Berkeley

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hazard curves will <strong>of</strong>ten vary throughout a country, advantage can be taken <strong>of</strong> theapproximately linear relationship (over the range <strong>of</strong> return periods <strong>of</strong> usualengineering interest) between the logarithms <strong>of</strong> exceedance frequency and <strong>of</strong> theground-motion parameter to determine two coefficients that relate them; from maps <strong>of</strong>these two coefficients the value <strong>of</strong> the ground-motion parameter can be determinedfor any return period (Grases et al., 1992). This elegant approach would allow currentcode approaches such as that in IBC 2000 to cover all return periods <strong>of</strong> interest withjust four hazard maps: two for the short-period spectral acceleration and two for the1.0-second ordinate.For PBSD, assuming that it will involved displacement-based design, thedefinition <strong>of</strong> long-period spectral ordinates will require at least a third parameter to bemapped: one option is the corner period that defines the constant displacement plateaumapped in the 2003 NEHRP guidelines; another is that proposed by Bommer et al.(2000) <strong>of</strong> mapping PGA, PGV and PGD and then defining the corner periods from theratios <strong>of</strong> these parameters. Using the method <strong>of</strong> Grases et al. (1992) this leads to sixmaps, whereas if four return periods are to be considered — as recommended inVision 2000 — and mapped individually, then the code would include 12 separatemaps, which starts to be cumbersome (although this could be overcome by embeddingthe maps within a GIS provided on CD-ROM with the code). The situation becomesmore complicated if maps for other parameters, such as independently definedvertical motions and strong-motion duration, are also needed.4.2 Disaggregated Seismic HazardDisaggregation <strong>of</strong> seismic hazard (e.g., McGuire, 1995; Bazzurro and Cornell, 1999)allows the contributions made to the hazard at a site by different magnitude-distancepairs to be identified. In the USA there is the unique situation wherein the USGeological Survey operates a web site that allows users to enter the coordinates <strong>of</strong> thesite and obtain disaggregations <strong>of</strong> the hazard at selected response and return periods;since the hazard maps and UHS in the seismic design codes are very closely related tothe national hazard maps <strong>of</strong> the USGS, this effectively allows users <strong>of</strong> the code toidentify hazard-consistent scenarios. Such a facility <strong>of</strong>fers many advantages, not least<strong>of</strong> which is it enables selection <strong>of</strong> appropriate acceleration time-histories when theseare required for design (Bommer and Acevedo, 2004). The controlling magnitudedistancepairs identified for horizontal spectral ordinates at the structural period <strong>of</strong>interest and for the selected return period can be used to estimate other parameterssuch as the vertical spectral ordinates and the strong-motion duration. This approachis preferable to producing separate maps for these other parameters since thehorizontal and vertical spectral accelerations and the strong-motion duration, for agiven return period, will <strong>of</strong>ten be controlled by different earthquake scenarios. Thiswould imply that the motions were not compatible hence the use <strong>of</strong> multiple mapscould result in the elastic spectral ordinates controlled by one source <strong>of</strong> seismicitybeing reduced by a duration-related ductility or damping factor controlled by another.477

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