A displacement-based strength reduction factor for high-rise steel moment-resisting frames

A preliminary study of the ‘displacement‐based strength reduction factor’ for high‐rise steel moment‐resisting frames is presented in this paper. The base shear capacity required for a high‐rise steel building in a displacement‐based design can be estimated from the reduction of the displacement‐based elastic response. The conventional force‐based design procedure is still adopted as the initial stage of the displacement‐based design. To establish an empirical formula of the proposed displacement‐based strength reduction factor, non‐linear time‐history analyses of six moment‐resisting frames are investigated. The conventional ‘equal displacement rule’ and ‘equal energy rule’ are no longer held when the displacement limitations are considered. As a result, a modification for conventional strength reduction factors is proposed for further applications in displacement‐based design. An adjustment factor defined as ‘deformation energy ratio’, β, which is related to natural periods, is introduced. The final displacement‐based strength reduction factor is defined as a function of ductility demand, fundamental period and the deformation energy ratio. Copyright © 2006 John Wiley & Sons, Ltd.