Effect of reliability and lateral-torsional buckling of steel beams in the linear and non-linear domain

Reliability and lateral buckling of thin-walled steel beams have become major concerns among researchers in civil engineering. A comparative study on the reliability of these beams has been conducted, focusing on the effects of lateral-torsional buckling (LTB) in both linear and non-linear domains. Initially, a non-linear model is applied within the context of large torsion using non-linear kinematics. Galerkin's method is utilized to derive equilibrium equations for simply supported beams, and numerical solutions are obtained using the Arc-length method. Theoretical and numerical results are examined for bi-symmetric I-section beams subjected to uniformly distributed loads. Additionally, a coupled model termed 'Coupling Reliability Lateral Buckling' (CRLB) is developed to assess the reliability index of steel beams, taking into account the non-linear post-buckling behavior of these beams.