Research Article
Jun 1966
On the Bending of Spherical Shells
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VIEW THE REPLYAuthors: P. Stern and E.Y.W. Tsui, F.ASCEAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 92, Issue 3
Abstract
The bending behavior of spherical shells is reduced to the solution of a second-order differential equation with complex coefficients. Influence coefficients and functions of truncated spherical shells are evaluated and presented in curve form for the analysis of structures composed of spherical segments. These coefficients are determined by an exact and an asymptotic solution of the governing equation. The asymptotic solution is valid over the entire range of the independent variable when the ratio of shell radius to thickness is greater than 100. An uncoupling criterion is given by which it is possible to establish whether the effect of loads applied at one edge of the shell is transmitted to the other edge. This criterion is determined by the cross-product terms in the influence coefficient matrix.
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Published In
Journal of the Engineering Mechanics Division
Volume 92 • Issue 3 • June 1966
Pages: 53 - 66
Copyright
© 1966 American Society of Civil Engineers.
History
Published in print: Jun 1966
Published online: Feb 3, 2021
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P. Stern
Research Specialist, Lockheed Missiles and Space Co., Palo Alto, Calif.
E.Y.W. Tsui, F.ASCE
Staff Scientist, Lockheed Missiles and Space Co., Palo Alto, Calif.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
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