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Inelastic-Strength Spectra in Probabilistic Seismic-Hazard Analysis

Departamento de Materiales, Universidad Autónoma Metropolitana-Azcapotzalco, Av. San Pablo # 180, Colonia Reynosa Tamaulipas, Azcapotzalco 02200, México D.F., México aresda{at}correo.azc.uam.mx

Mario Ordaz

Instituto de Ingeniería, UNAM, Ciudad Universitaria, Coyoacán 04510, México D.F. México mors{at}pumas.iingen.unam.mx

A comparison between two methods to compute uniform-hazard inelastic-strength spectra for single-degree-of-freedom systems subjected to earthquake ground motions is presented. In the first method the inelastic spectra are obtained by reducing uniform-hazard elastic pseudoacceleration (SA) spectra with deterministic strength-reduction factors, while in the second method inelastic-strength spectra are computed with a probabilistic seismic-hazard analysis that accounts for the variability in the strength-reduction factor. It is demonstrated that the first method yields similar results to the probabilistic analysis if the product of the slope of the hazard curve of SA and the standard deviation of the logarithm of the strength-reduction factor is small.