Keywords: lateral torsional buckling, double angle, tee, cantilever, stability, buckling load.

Lateral torsional buckling is also an important problem for slender beams in addition to material failure. As the beam becomes more slender, the elastic critical lateral torsional buckling load decreases and approaches the first-yield load, which causes yielding of the extreme fibers of the section. After a certain level of slenderness, the elastic critical lateral torsional buckling load becomes smaller than the first-yield load and the element loses its stability before the material reaches its yield strength. Therefore, the elastic lateral torsional buckling load should be considered in the design of steel beams. In this paper, parametric equations based on an energy method are presented for determining elastic critical lateral torsional buckling loads of double angle and tee section cantilevers. In this study, proper functions for the twisting angle of double angle and tee section cantilevers are presented and elastic critical lateral torsional buckling loads of the mentioned elements are found by the energy method for different loading cases. The results are checked using the ABAQUS software and it is seen that critical loads obtained using the energy method and the ABAQUS software coincide. A parametric formula is presented for determining elastic critical lateral torsional buckling loads of double angle and tee section cantilevers.

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