Establishing the relationship between damage measure, seismic hazard, structural ductility and period for PBSD

Abstract The goal of this research is to establish a relationship between design level and performance level. Designers can take advantage of this relationship to determine the annual probability of exceeding the seismic hazard safety level and the performance of a building subjected to a certain intensity of earthquake loading. In this research, the design level is defined by annual probability of occurrence and the performance level is presented by Park & Ang's damage index which includes both hysteretic energy and deformation of structural response. The γ spectrum, which considers the inelastic hysteretic energy of a nonlinear SDOF system, was developed from Taiwan ground motion data and added to the damage index. The damage spectrum, representing the design level versus annual probability of the index tolerance being exceeded, is provided in this research. Engineers can refer to these diagrams and spectra to assess if the proposed design and performance level are acceptable. An example is also made showing how to use this approach at the end of this study.