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Abstract
The elastic flexural-torsional or lateral instability of monosymmetric I-beams and cantilevers is investigated using a general energy approach based on the vanishing of the second variation of the total potential energy in which the buckling displacements are represented by trigonometric series. For simply supported beams, closed-form solutions can be obtained which include the influence of pre-buckling displacements and which are valid for a wide range of section properties. Where the closed-form solutions become inaccurate, and for cantilevers, numerical results are presented and compared with existing numerical results based on the governing differential equations. The convergence of the series solution and variability of the eigenvectors defining the buckled shape are also discussed.
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