Abstract
The stability equations for simply supported beams were solved approximately using the Bubnov-Galerkin method. We omit the influence of displacements in the plane of bending. The analytical solutions were used for checking the stability of laterally unrestrained mono-symmetric beams. The lateral-torsional buckling (LTB) moment depends on bending distribution and on the load height effect. Each of applied concentrated and distributed loads, may have arbitrary direction and optional coordinate for the applied force along the cross section’s height. Derived equations allow for simple, yet fast control of lateral buckling moment. Numerical examples show good consistency of analytic results with those obtained from Finite Element Method (FEM) software.
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