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1 2007

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Optimization of Thin-Walled Beams Subjected to Bending in Respect of Local Stability and Strenght

Gałkiewicz T., Królak M., Kubiak T.

Mechanics and Mechanical Engineering

2007

Vol. 11, nr 1

37-48

A method for optimization (with some limitations) of thin-walled beams with a trapezoidal cross-section is presented in the paper. Beams are subjected to bending. They undergo local buckling in the elastic range. The dimensions of beam cross-section walls are optimized. Two cases was consider. In the first one the smallest weight of the beam (the smallest area cross-section) for given critical buckling moment was calculated. In the second case the maximum critical moment for given area of the cross-section was calculated. Next, the ultimate bending moment in the postcritical state is found for the optimized beams.