This paper investigates the inelastic behaviors of pitched-roof gable rigid-frames comprising tapered members. The accurate Timoshenko-Euler equilibrium differential equation for tapered members is developed and solved by employing Chebyshev polynomial approach. The elastic and inelastic stiffness equations accounting for simultaneous effects of axial force and shear deformation for tapered members are further obtained. The model of modified elastic-plastic hinges is used to analyze second-order inelastic behaviors of these frames. With this model, the effects of residual stresses, strain-hardening of material and shear deformation as well as those of geometry and material nonlinearities can be considered. Numerical investigations are carried out on inelastic behaviors of steel gable frames comprising both prismatic and tapered girders and columns. A number of useful conclusions are obtained at last.
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