Research Article
Apr 1968
Buckling of Inelastic, Tapped, Pin-Ended Columns
Authors: Franklin J. Appl and James O. SmithAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 94, Issue 2
Abstract
A numerical method for finding buckling loads of pin-ended tapered columns which are elastic, elastic-plastic, or completely plastic is presented. An enclosure theorem is used to find upper and lower bounds on the first eigenvalue, which is a measure of the lowest buckling load of the mathematical model of the column. A numerical method is used to systematically determine the least upper bound and the greatest lower bound. By using an effective modulus of elasticity, upper and lower bounds on the first eigenvalue are found for inelastic as well as elastic material behavior. A three-parameter stress-strain relationship is used to describe the behavior of the material. In order to assess the adequacy in the elastic-plastic and plastic ranges of the effective modulus description used in the mathematical model, the computed bounds are compared to the results of tests on 44 aluminum columns having various tapers and slenderness ratios. The experimental data are in good agreement with the lower bound of the analysis of the mathematical model.
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Published In
Journal of the Engineering Mechanics Division
Volume 94 • Issue 2 • April 1968
Pages: 549 - 558
Copyright
© 1968 American Society of Civil Engineers.
History
Published in print: Apr 1968
Published online: Feb 3, 2021
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Authors
Affiliations
Franklin J. Appl
Asst. Prof., School of Aerospace and Mech. Engrg., Univ. of Oklahoma, Norman, Okla.
James O. Smith
Prof., Dept. of Theoretical and Applied Mechanics, Univ. of Illinois, Urbana, Ill.
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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.