Research Article
Jun 1963
Limit Analysis of Cylindrical Shells
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VIEW THE REPLYAuthors: R.E. Ball, AM.ASCE, and Sang-Lip Lee, M.ASCEAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 89, Issue 3
Abstract
The load carrying capacity of circular cylindrical shells simply supported at both ends and subjected to axisymmetric hydrostatic load is examined. The shell material is assumed to obey an inscribing hexagonal approximation to the Tresca yield curve for axisymmetrical bending of cylindrical shells with zero end load. The results of this analysis, together with those obtained on the assumption that the shell material obeys a circumscribing square approximation to the Tresca yield curve, bound the limit loads associated with the Tresca yield conditions. The values of the limit loads are plotted against a wide range of the shell parameter. For long shells, it is demonstrated that the curve is asymptotic to the limit load given by the membrane analysis. The stress profiles, as well as the corresponding statically admissible stress fields and kinematically admissible velocity fields, are also demonstrated for particular values of the shell parameter.
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Published In
Journal of the Engineering Mechanics Division
Volume 89 • Issue 3 • June 1963
Pages: 73 - 96
Copyright
© 1963 American Society of Civil Engineers.
History
Published in print: Jun 1963
Published online: Feb 3, 2021
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Affiliations
R.E. Ball, AM.ASCE
Member of Tech. Staff, National Engineering Science Co., Pasadena, Calif.
Sang-Lip Lee, M.ASCE
Prof. of Civ. Engrg., Northwestern Univ., Evanston, Ill.
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