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SUMMARYA trilinear model is used to simulate the seismic resisting mechanism of a single-degree-of-freedom friction-damped system to re#ect the situation in which both dampers and frame members lose their elastic resistance. The seismic response of the friction-damped system is normalized with respect to the response of its corresponding linear system by an approach that incorporates a credible equivalent linearization method, a damping reduction rule and the algebraic speci"cation of the design spectrum. The resulting closed-form solutions obtained for the normalized response are then used to de"ne a force modi"cation factor for friction-damped systems. This force modi"cation factor, together with the condensation procedure for multi-degree-of-freedom structures, enables the establishment of a quasi-static design procedure for friction-damped structures, which is intended for the bene"t and use of structural practitioners. A curve-"tting technique is employed to develop an explicit expression for the force modi"cation factor used with the proposed design procedure; it is shown that this simpli"cation results in satisfactory accuracy. Finally, a design example is given to illustrate the validation of the proposed design procedure.