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Appendix D: General Description of Performance-Based Design
Pages 256-260

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From page 256...
... THE DISCRETE APPROACH The discrete approach to performance prediction divides prediction analysis into a series of "events." An event can be a condition or a state of nature (e.g., water table levels, the liquefaction potential of a soil layer) , or it can be a prior condition (e.g., a blocked drain)
From page 257...
... When noneconomic losses are included in the assessment, more sophisticated decision strategies must be used to examine trade-offs among alternative designs. BOX D.1 Event Tree for Prediction of Loss Due to Settlement A simple, hypothetical event tree showing the prediction of loss due to post-liquefaction settlement induced by different levels of shaking is shown in Figure 1.
From page 258...
... In this case, PGA is used as the IM, lateral spreading displacement as the EDP, number of pipeline breaks per km as the DM, and repair cost as the DV. By combining the results of probabilistic response, damage, and loss models with the results of a probabilistic seismic hazard analysis, this approach can provide a consistent and objective evaluation of response, damage, and loss.
From page 259...
... FIGURE D.2 Risk curve for repair cost resulting from lateral spreading-induced pipeline breaks over extent of water supply system.
From page 260...
... To construct a damage probability matrix, the continuous range of EDP response levels is discretized into a finite number of bins; each EDP bin is associated with a damage state (e.g., negligible, slight, moderate, severe, and catastrophic) ; and values in each cell represent the probability of occurrence of the damage state given the EDP value.


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