Earthquakes and Structures

Volume 28, Number 1, 2025, pages 75-87

DOI: 10.12989/eas.2025.28.1.075

Dynamic capacity curve and its application to the seismic evaluation of structures

Francisco Bañuelos-Garcia, Marco Escamilla, Gustavo Ayala and Jesus Valdes-Gonzalez

Abstract

This paper presents a simplified procedure for the seismic evaluation of structures based on the dynamic capacity curve; and its validity as a structural property associated with seismic demands. The proposed procedure calculates the performance of a structure subjected to seismic demands from a uniform hazard spectrum through an approximation of the dynamic capacity curve constructed from modal spectral analysis associated with increasing intensity demands. To account for stiffness reduction and energy dissipation due to hysteresis, a single-degree-of-freedom oscillator with the characteristics of the fundamental mode is analysed. The approximation of the dynamic capacity curve obtained from the proposed procedure is validated by comparing it with that obtained from nonlinear time-history analysis under increasing intensity demands for two reinforced concrete structures: a 12-storey plane frame irregular in elevation and a continuous viaduct-type bridge.

Key Words

approximate analysis; dynamic capacity curve; incremental dynamic analysis; seismic performance; seismic performance; spectral modal analysis

Address

Francisco Bañuelos-Garcia and Jesus Valdes-Gonzalez: Facultad de Ingeniería, Universidad Autónoma del Estado de México, Cerro de Coatepec S/N, Ciudad Universitaria, Toluca 50110, México Marco Escamilla: Instituto de Ciencias Básicas e Ingeniería, Universidad Autónoma del Estado de Hidalgo, km 4.5 carretera Pachuca-Tulancingo S/N, Mineral de la Reforma 42184, Hidalgo, México Gustavo Ayala: Instituto de Ingeniería, Universidad Nacional Autónoma de México, Ciudad Universitaria, 04510 CDMX, México