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Report - PEER - University of California, Berkeley

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E [ L T | IM ]$ 10 M$ 8 M$ 6 M$ 4 M$ 2 M$ 0 M(a)CollapseNon-collapse0 20 40 60 80 100IM [ Sd (in) ]E [ L T| IM ]$ 10 M$ 8 M$ 6 M$ 4 M$ 2 M$ 0 M(b)Non-structuralStructural0 25 50 75 100IM [ S d (cm) ]dE [ L T| IM ]$ 20 K$ 15 K$ 10 K$ 5 K$ 0 K(c)Non-struct uralSt ruct ural0 25 50 75IM [ S d(cm) ]0 K 1 K 2 K 3 K 4 K 5 KT R = 1 / ν (IM )Figure 8. Loss deaggregation results: (a) contribution <strong>of</strong> collapse and noncollapselosses to the total loss at different levels <strong>of</strong> intensity, (b) contribution <strong>of</strong>structural and non-structural losses to the total loss at different levels <strong>of</strong>intensity, (c) deaggregation <strong>of</strong> the expected annual loss.total loss. It can be send that losses are primarily produced by damage to nonstructuralcomponents.Figure 8c presents loss deaggregation results for the expected annual loss. It canbe seen that for the case study building the earthquakes with S d smaller than 50 cm,(return periods, T R <strong>of</strong> less than 3500 years), contribute 96% to the expected annualloss, 81% <strong>of</strong> which comes from non-structural components and only 15% correspondsto structural components.5. CONCLUSIONSA methodology is proposed to estimate the seismic performance <strong>of</strong> buildings in terms<strong>of</strong> economic losses. The methodology explicitly incorporates the uncertaintiescorresponding to the seismic hazard, to the response <strong>of</strong> the structure, to the damageincurred in different components and to the repair or replacement cost <strong>of</strong> damagedcomponents. Generic procedures are proposed to improve the estimation <strong>of</strong> varioussources <strong>of</strong> uncertainty that contribute to the loss estimation methodology.Specifically, the concept <strong>of</strong> fragility surfaces is introduced which leads to smallerdispersions while estimating damage and provides a powerful tool to estimate theconditional probability <strong>of</strong> system collapse. Furthermore, the effects <strong>of</strong> correlationbetween losses in individual components are explicitly considered. It is concludedthat the correlation between losses at the component-level can significantly increasethe dispersion in the losses in the building.As part <strong>of</strong> the study, the use different <strong>of</strong> different parameters as ground motionintensity measures was investigated. It is concluded that for drift-sensitivecomponents, using inelastic spectral displacement ordinates leads to lower dispersion<strong>of</strong> building response than those computed using elastic spectral ordinates. Foracceleration-sensitive components, it was observed that peak ground acceleration,PGA, provides smaller levels <strong>of</strong> dispersion <strong>of</strong> peak floor accelerations compared tothose computed using elastic spectral ordinates as intensity measure.159

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