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The seismic design forces of building structures are generally influenced by three main factors: the design peak ground acceleration (PGA), response modification factor (R-factor), and permissible lateral drift. The magnitude of the seismic design force significantly affects the stiffness properties of the structures and thus, their fundamental periods.

The period formulas available in seismic codes were developed by curve fitting to period data of buildings designed in California under high levels of seismic hazard. These period formulas are presented as functions of the building height without considering the level of the seismic design force applied to the structure.

The current study analytically evaluates the fundamental periods of 768 buckling-restrained braced (BRB) steel buildings designed with variable levels of the design PGA, R-factor, and permissible lateral drift. The results obtained express the dependence of …