Abstract
The classic theory of thin-walled beams was developed by Vlasov during the 1930s (1961). This theory is more general than the Euler-Bernoulli-Navier theory of solid beams, in that the cross sections are allowed to warp nonuniformly along the axis of a member. In addition to the St. Venant torque caused by uniform warping, two actions are generated by variation of warping from cross section to cross section of a bar. One is the torque generated by resistance to warping deformation and the other is the bimoment that results from self-equilibrating direct stresses. The presence of such actions influences not only the linear but also the nonlinear behavior of beams.
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© 1987 Springer-Verlag Berlin, Heidelberg
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Yang, YB. (1987). Stability of Thin-Walled Beams — A General Theory. In: De Roeck, G., Quiroga, A.S., Van Laethem, M., Backx, E. (eds) Shell and Spatial Structures: Computational Aspects. Lecture Notes in Engineering, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83015-0_25
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DOI: https://doi.org/10.1007/978-3-642-83015-0_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-17498-1
Online ISBN: 978-3-642-83015-0
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