Brief Report
Oct 1982
Postbuckling of Rings under Two Uniform Loads
Publication: Journal of the Engineering Mechanics Division
Volume 108, Issue 5
Abstract
The interaction effect of the normal and centrally directed pressures on the initial postbuckling behavior of a thin elastic circular ring buckling freely in its own plane is investigated by means of the perturbation method applied to the exact nonlinear differential equations of the engineering theory of curved beams. A dimensionless value of the postbuckling deflection is employed as the perturbation parameter. The analysis has yielded a simple formula representing the relationship between small increases in the buckling loads. This formula characterizes the initial postbuckling behavior of the ring subjected to the two interacting, uniformly distributed loads. Heretofore, the limited technical literature on the postbuckling characteristics of rings has dealt only with single distributed external pressure loads. In practice, the two types of static loads considered can be realized by compressing the ring by means of closely spaced, perfectly flexible spokes and simultaneously applying a gas pressure.
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Published In
Journal of the Engineering Mechanics Division
Volume 108 • Issue 5 • October 1982
Pages: 967 - 971
Copyright
© 1982 American Society of Civil Engineers.
History
Published in print: Oct 1982
Published online: Feb 3, 2021
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Authors
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Robert Schmidt, M.ASCE
Prof. of Engrg. Mechanics, Dept. of Mech. Engrg., Univ. of Detroit, Detroit, Mich.
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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.