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.
Get full access to this article
View all access options for this article.
References
1.
KenediR. M.1960 Symp. Nuclear Reactor Containment Buildings and Pressure Vessels, Glasgow, ‘The Influence Line Method of Shell Analysis’.
2.
HaversA.1935Ingenieur-Archiv, vol. 6, ‘Asymptotische Biegetheorie der unbelasteten Kugelschale’.
3.
ReissnerE.1946J. Math. Phys., vol. 25, ‘Stresses and Small Displacements of Shallow Spherical Shells II’.
4.
LangerR. E.1935Trans. Amer. Math. Soc., vol. 37, ‘On the Asymptotic Solutions of Ordinary Differential Equations with Reference to the Stokes’ Phenomenon about a Singular Point’.
