Research Article
Feb 1965
Finite Element Analysis of Axi-Symmetric Solids
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 91, Issue 1
Abstract
The finite element method has been demonstrated to provide an effective means for the analysis of two-dimensional elastic continua. In this paper, the method is applied to a special class of two-dimensional system: The axially symmetric elastic solid. The procedure is identical with that used in plane stress analysis; it is merely necessary to develop special stiffness matrices for the axi-symmetric finite element. In the present development, axi-symmetric elements of triangular cross section are considered (forming complete rings in plan view). The procedure for evaluating the element stiffness is summarized, and the modifications required to adapt a finite element plane stress digital computer program for the treatment of axi-symmetric systems are cited. Results of several example analyses are presented; the solution of the Boussinesq problem, a concentrated load applied to an elastic half-space, demonstrates the accuracy of results that may be obtained.
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Published In
Journal of the Engineering Mechanics Division
Volume 91 • Issue 1 • February 1965
Pages: 71 - 85
Copyright
© 1965 American Society of Civil Engineers.
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Published in print: Feb 1965
Published online: Feb 3, 2021
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Authors
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Ray W. Clough, F.ASCE
Visiting Prof., Univ. of Cambridge; on leave from Univ. of California, Dept. of Civ. Engrg., Berkeley, Calif.
Yusef Rashid, AM.ASCE
Graduate Student, Univ. of California, Berkeley, Calif.
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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.