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Report - PEER - University of California, Berkeley

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assumptions inherent in these estimates, it is possible to determine probabilitydistributions <strong>of</strong> the possible losses, as a function <strong>of</strong> the damage state.Loss functions tend to incorporate significant uncertainty as compared withhazard curves, response functions and fragility curves because they are highlydependent on human factors including the owner’s ability to act rapidly in retainingthe necessary design pr<strong>of</strong>essionals and construction contractors to effect repairs, theefficiency with which the design pr<strong>of</strong>essionals and contractors operate and the speedwith which building departments approve proposed repair programs.The loss functions would initially be normalized and would indicate whatpercentage <strong>of</strong> the replacement cost would be needed to repair all the components incategory. Loss functions would also be developed for downtime and deaths andinjuries for each <strong>of</strong> the broad categories and EDPs-Ns.3.4 Development <strong>of</strong> Standardized Procedures for Establishing FragilitiesA key element in predicting the performance <strong>of</strong> nonstructural components is havingreliable measurements <strong>of</strong> the extent <strong>of</strong> damage that occurs to components when theyare subject to given levels <strong>of</strong> EDP-Ns. This extent <strong>of</strong> damage provides a measure <strong>of</strong>fragility <strong>of</strong> the components. One primary method for establishing fragility fornonstructural components is by component or system testing. Currently there are threeprimary methods <strong>of</strong> fragility testing; (1) shake table testing that measures the fragility<strong>of</strong> components which are primarily acceleration sensitive, (2) racking testing whichmeasures the fragility <strong>of</strong> components which are primarily sensitive to horizontalrelative displacements (drift sensitive) and (3) component cyclic testing whichmeasures axial and/or rotational fragility (capacity) <strong>of</strong> subcomponents <strong>of</strong>nonstructural components such as pipe joints or braces. Some fragility tests arecurrently being conducted which two or all three <strong>of</strong> the above methods in theprocedures and approaches.One <strong>of</strong> the common needs in all fragility methods is accepted protocols fortesting. Testing protocols provide the details <strong>of</strong> how the test is to be conducted andthe test motions that are to be imparted onto the component by the test machines.With such accepted protocols in place, results can be duplicated and validated andstandardized fragilities for individual components developed. Without such protocols,extrapolations with large variability are introduced into the fragility data. ATC isworking in cooperation with the three NSF earthquake engineering centers (<strong>PEER</strong>,MCEER and MAE) to develop the protocols.Standardized procedures for establishing fragility functions and loss functionsbased on fragility testing, experience data and detailed structural analysis will also bedeveloped as part <strong>of</strong> this task. Also included in this task will be the development <strong>of</strong>procedures to how to convert existing and available fragility data in fragility functionsand associated loss functions that are consistent with newly established data. It is along term goal <strong>of</strong> the project to eventually develop a sanctioned database <strong>of</strong> fragility134

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