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- W2481776015 abstract "This chapter discusses the membrane theory and general approximate methods. The membrane theory gives an approximately correct picture of the state of stress and deformation of a shell only at sufficient distances from certain lines of the middle surface. There are five conditions presented in the chapter under which the membrane theory applies. When these conditions are fulfilled simultaneously, an analysis in agreement with the membrane theory will give, to this or that degree of accuracy, a true distribution of the state of stress of a non-shallow shell in those areas that are sufficiently far away from lines of distortion. However, these conditions are not necessary. When they are violated, a membrane analysis may under certain circumstances remain applicable. The chapter presents a generalization of the known approximate theory of the edge effect in axisymmetric shells of revolution. For every differentiation with respect to α, the unknown quantities change by an additional factor k ." @default.
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- W2481776015 date "1961-01-01" @default.
- W2481776015 modified "2023-09-26" @default.
- W2481776015 title "GENERAL APPROXIMATE METHODS" @default.
- W2481776015 doi "https://doi.org/10.1016/b978-0-08-009561-5.50025-8" @default.
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