A procedure is developed for obtaining the design of an elastic, perfectly plastic shell or structure which will support prescribed loads and which is the optimum design for a given criterion. The action of body forces is included in the analysis. Some problems in the minimum volume design of a circular cylindrical sandwich shell are solved to illustrate the method, and it is found that only for relatively short shells does the minimum volume design effect an appreciable saving over the membrane design.
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On the Optimum Design of Shells
R. T. Shield
Brown University, Providence, R. I.
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Shield, R. T. (June 1, 1960). "On the Optimum Design of Shells." ASME. J. Appl. Mech. June 1960; 27(2): 316–322. https://doi.org/10.1115/1.3643959
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