Using Reissner’s  theory of the bending of shallow spherical shells, two unsymmetrical problems are investigated by the method of point-matching. The first is a uniformly loaded spherical shell clamped on a square base, numerical values of the moments and membrane forces being obtained and compared with the corresponding values for the case of a clamped circular base. The second problem is a spherical shell with a rigid elliptical insert, the latter carrying a central radial load. This gives information concerning the problem of a spherical shell which is pierced at an angle by a relatively rigid circular pipe.
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Application of the Point-Matching Method to Shallow-Spherical-Shell Theory
H. D. Conway,
H. D. Conway
Department of Mechanics and Materials, Cornell University, Ithaca, N. Y.
A. W. Leissa
Department of Engineering Mechanics, Ohio State University, Columbus, Ohio
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Conway, H. D., and Leissa, A. W. (December 1, 1962). "Application of the Point-Matching Method to Shallow-Spherical-Shell Theory." ASME. J. Appl. Mech. December 1962; 29(4): 745–747. https://doi.org/10.1115/1.3640664
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