Analytical solutions for the GNI analysis for lateral-torsional buckling of thinwalled beams with doubly-symmetric and mono-symmetric cross-sections

Abstract

In this paper a novel analytical solution is presented for the geometrically nonlinear analysis of beams subjected to lateral-torsional buckling, by assuming an initial geometric imperfection in the form of the buckled shape from a linear buckling analysis. The novelty of the solution is that it takes into consideration of the changing geometry as the load is increasing. Numerical results by the new analytical formula are compared to those from other methods. The results suggest that new formulae are able to correctly capture the most important elements of the behavior.