The design of slender beams, that is, beams with large laterally unsupported lengths, is commonly\r\ncontrolled by stability limit states. Beam buckling, also called ââ?¬Å?lateral torsional buckling,ââ?¬Â is\r\ndifferent from column buckling in that a beam not only displaces laterally but also twists about its\r\naxis during buckling. The coupling between twist and lateral displacement makes stability analysis\r\nof beams more complex than that of columns. For this reason, most of the analytical studies in the\r\nliterature on beam stability are concentrated on simple cases: uniform beams with ideal boundary\r\nconditions and simple loadings. This paper shows that complex beam stability problems, such as\r\nlateral torsional buckling of rectangular beams with variable cross-sections, can successfully be\r\nsolved using homotopy perturbation method HPM.
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