Beams, Plates, Membranes and Shells

  • J. R. BarberEmail author
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 250)


Optimal structural designs often involve thin-walled structures. For example, if we wish to design a torsion bar to a given level of maximum shear stress, the cross section that minimizes the weight of the bar is a thin-walled cylinder, limited only by the requirement to avoid buckling of the walls and keep the envelope of the structure within externally prescribed dimensions. Thin-walled structures are also often found in the natural world, presumably the result of evolution-driven structural optimization.

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© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of MichiganAnn ArborUSA

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