Localized Loads Applied to Spherical Shells

Abstract

Solutions, valid for all values of the colatitude angle, have been found for a spherical shell subjected to axisymmetric and lateral loads. These solutions can be used to solve the junction problem of a sphere intersected by a cylindrical pipe which carries direct and shear forces as well as bending and twisting moment. Singular solutions are also obtained when direct and tangential forces as well as bending and twisting moments are applied directly to the shell. When is sufficiently large the axisymmetric solutions reduce to the well-known Hetenyi form, and it is found that similar solutions, convenient for design purposes, also exist for lateral loadings.

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