Simple solutions for the flexural-torsional buckling of laterally restrained I-beams

This paper describes a method for analysing the lateral buckling of beams continuously restrained at one flange. The deformed configuration is governed by a system of differential equations solved by the Galerkin method. The matrices of rigidities, restraints and geometry are specified as well as the problem with the eigenvalues, with a view to predicting the buckling loads and the corresponding buckling shapes. The effects of moment distribution and continuous restraints on the elastic flexural-torsional buckling of beams are also studied. The results show that the restraint of the tensioned flange can have a weak influence on the critical buckling moment.