A solution technique for the dynamic analysis of asymmetric base-isolated buildings, subject to earthquake ground motion, is presented. To develop the formulation, a yield surface as a function of both shear force and torsion moment of the sliding surface with rigid perfectly plastic behavior is constituted. To achieve the objective, the yield stress is defined by the friction coefficient through a simple relation. Having introduced the mathematical model of the yield surface, the simple conditions of being at the onset of sliding and nonsliding phases of motion are given. Based on the elaborated model, the earthquake dynamic analysis of a 3-D structure is performed. The results are in good agreement with those obtained by the finite-element modeling of the surface.

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