Approximate moment-curvature relationships for slender columns

This paper presents the derivation of an approximate second-order method for the analysis and design of slender cantilever compression members. The method is based on the generation of equivalent linear representations for the nonlinear moment-curvature (M-Ф) relationships for the column cross section. The linear M-Ф equations are derive d in such a way that they closely predict the nominal strength of the slender column for a prescribed axial load. The derivation is based on the guidelines of the German Code and Heft 220-which, unlike the moment magnifier method, takes into account the influence of the axial load on the stiffness of the column. The results of the proposed method are in excellent agreement with experimental data and predictions from sophisticated computer programs.