Abstract
This paper presents the general condition for zero warping of symmetrical cross-sections of thinwalled beams under bending and shear. The condition derived within the linear elastic analysis is represented by a nonlinear functional equation coupling the function of the wall-thickness distribution with the Cartesian coordinates of points of the cross-sectional center line which are parallel to the plane of the bending moment. The solution of the corresponding functional problem, sought with the use of the discrete contracting mapping, makes it possible to determine the optimum cross-sections of beam-like structural elements which do not warp under bending and shear, the beam thus remaining free from shear-lag irrespective of the beam end conditions and the transverse loading variation.
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© 1988 Kluwer Academic Publisher
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Hýča, M. (1988). Shape Optimization of the Cross-Sections of Thinwalled Beams Subjected to Bending and Shear. In: Rozvany, G.I.N., Karihaloo, B.L. (eds) Structural Optimization. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1413-1_17
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DOI: https://doi.org/10.1007/978-94-009-1413-1_17
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