"[[w:Membrane theory of shells|[M]embrane theory]]... is the theory of shells whose bending rigidity may be neglected. The spectacular simplification... makes it possible to examine a wide variety of shapes and support conditions. In particular, the stress problems of tanks and shell roofs... There is, of course a heavy penalty... [T]he inadequacies... can be discovered by a critical inspection of the... solutions, without any need for... solving the bending problem—a task which is often out of the reach of the practical engineer and even of the research worker. On the other hand, membrane theory is more than a first approximation... If a shell is so shaped and so supported that it can carry its load with a membrane stress system, it will be thin, light, and stiff and, therefore, the most desirable solution to a design problem. Membrane theory will guide the shell designer toward such structure."
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Original Language: English
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Sources
, Stresses in Shells (1973) 2nd edition, Preface. Originally published in German as Statik und Dynamik der Schalen (1937).
https://en.wikiquote.org/wiki/Thin-shell_structure
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