Abstract
This paper proposes a computational procedure to correctly construct the nonlinear limit state and estimate the reliability of members in ductile framed structures. Due to the uncertainties in loads and structural properties, the structure could be in one of many different damage states before failure occurs in the member of interest. Since the enumeration of all these damage states and the computation of their effect on member reliability is tedious, the proposed method uses three criteria based on the statistical relationships among the members to efficiently identify those damage states that significantly affect the reliability of the desired member. This is used to determine the polyhedral envelope of the entire failure domain, corresponding to various levels of cumulative damage. The failure probability is then estimated through the union of failure domains defined by each of the linear segments of this polyhedral surface, using second-order bounds.
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