Abstract

The performance of the structure is defined in terms of five ranges of damage states. These are the elastic no damage state, minor, repairable, unrepairable damage and ultimately the structure is in the state of extensive damage and progressive collapse. An approach is presented for relating the various stages of damage and their probability of exceedance to drift and peak ground acceleration. The defined performance levels and their relationships to drift are correlated with the force-roof displacement relationship from a pushover analysis for use as a performance evaluation procedure. A three story reinforced concrete office building located in Victoria B.C., Canada is used as an example to demonstrate the methodology. The building is subjected to a set of ground motion records scaled to various peak ground acceleration levels. A nonlinear dynamic analysis is performed to evaluate the response of the structure. The results of the dynamic analysis established the statistical state of damage in terms of damage levels and the relationship between the damage levels and the peak ground acceleration and drift. To assist in the damage evaluation, a damage index is used in the analysis. For performance evaluation, the damage levels are introduced to the force-displacement relationship from the pushover analysis. The performance level criteria in terms of damage potential are related to the story drift and to the probability of exceedance. For a given design, the pushover analysis when related to the dynamic performance of the structure, will provide a reliable performance evaluation procedure.

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