Abstract
In this study, a theoretical analysis is presented for estimating the in-plane large displacement elastic stability behavior of steel frames having prismatic and non-prismatic members (Tapered and non-linearly tapered) with end gusseted plates subjected to increasing static loads. The analysis adopts the beam-column approach and models the structural members as beam-column elements. The formulation of the beam-column element is based on Eulerian approach allowing for the influence of the axial force on bending stiffness. Also, changes in member chord length due to axial deformation and flexural bowing are taken into account. The effect of gusseted plate is taken and the modified stability and bowing functions are derived for gusset plate with prismatic and non-prismatic members (Tapered and Non-linearly tapered).The post-buckling analysis is studied, and the incremental load control with different load increment strategies and the modified Newton-Raphson method with different iterative strategies are used to obtain the complete load-displacement curve.