Seismic Assessment of Structures Using Approximate Methods Based on the Capacity Curve

Capacity Curve Pushover Analysis Adaptive Pushover Analysis Modal Spectral Analysis Seismic Assessment Incremental Dynamic Analysis (IDA)

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This paper investigates the reliability of approximate seismic assessment methods by critically examining their fundamental assumptions and limitations. Particular attention is given to the influence of lateral load application techniques on the construction of the capacity curve, including force-based, displacement-based, and adaptive spectral modal procedures. Within force-based approaches, the effect of the lateral load vector shape is analyzed, since the estimation of the seismic performance point is governed by the characteristics of the capacity curve. A seismic assessment of three reinforced concrete structures is performed: two mid-rise frame buildings and one continuous viaduct-type bridge. The results obtained from (1) the original Capacity Spectrum Method, (2) a recently developed approximate procedure (2025), proposed by the authors, based on the Dynamic Capacity Curve, constructed through evolutionary spectral modal analyses in which each point represents a performance point, and (3) the benchmark procedure, Incremental Dynamic Analysis (IDA), are compared. The results show that both the lateral load application technique and the load vector shape significantly affect the estimated seismic performance. Approximate methods can provide reliable results when the equal displacement rule is valid and the Multi-Degree-of-Freedom (MDOF) system can be represented by an equivalent Single-Degree-of-Freedom (SDOF) oscillator.