Research Article
Oct 1968
Stress Analysis of Translational Shells
Publication: Journal of the Engineering Mechanics Division
Volume 94, Issue 5
Abstract
A set of governing simultaneous partial differential equations describing the bending and membrane stress conditions in any translational shell are derived in this study. By employing a curvilinear coordinate system in the middle surface of the shell in the direction of the principal generators of the surface, the necessity of making the shallow shell assumptions is eliminated, thus the derived set of equations is equally valid for deep as well as shallow translational shells. However, the curvilinear coordinate system used is not, in general, orthogonal and the governing set of partial differential equations have variable coefficients. A finite difference solution is performed for the set of partial differential equations for a particular case - a fixed-edge hyperbolic paraboloid. The numerical solution was checked for discretization and round off error and found to be satisfactory. A small scale structural test program was instituted to verify the assumptions made in the derivation of the governing partial differential equations, and to further check the numerical solutions. Agreement between the test results and numerical solution was, in general, good and in many cases was within 10%.
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Published In
Journal of the Engineering Mechanics Division
Volume 94 • Issue 5 • October 1968
Pages: 1109 - 1126
Copyright
© 1968 American Society of Civil Engineers.
History
Published in print: Oct 1968
Published online: Feb 3, 2021
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Authors
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James A. Mandel, M.ASCE
Asst. Prof., Dept. of Civil Engrg., Syracuse Univ., Syracuse, N.Y.
Paul J. Brennan, M.ASCE
Prof. and Chairman, Dept. of Civil Engrg., Syracuse Univ., Syracuse, N.Y.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
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.
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.