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Architecture Engineering QUESTION #2374
Question 1
In the Pushover Analysis (nonlinear static analysis) for seismic performance evaluation, the Performance Point is determined as the intersection of:
  • The capacity spectrum (pushover curve in ADRS format) with the linear elastic response spectrum
  • The capacity spectrum with the demand spectrum (reduced for ductility using a constant ductility reduction factor), representing the actual inelastic seismic demand on the structure✔️
  • The base shear–roof displacement curve with the design base shear calculated by the Equivalent Lateral Force method
  • The demand spectrum at 5% damping with the elastic first-mode capacity
Correct Answer Explanation
In ATC-40 Capacity Spectrum Method (CSM), the Performance Point is the intersection of the Capacity Spectrum (pushover curve converted to ADRS — Acceleration-Displacement Response Spectrum format: Sa vs. Sd) with the Demand Spectrum (elastic 5%-damped spectrum reduced by effective damping \(\beta_{eff}\) accounting for hysteretic energy dissipation). This point represents the actual expected displacement demand on the inelastic structure for the given earthquake.