Technical Notes
Sep 19, 2023

The Buckling Load of Extensible Rods

Publication: Journal of Engineering Mechanics
Volume 149, Issue 12

Abstract

Although it is often asserted that, in view of their reduced length, axially compressible beams have a higher buckling load than their inextensible counterparts, a detailed analysis demonstrates that this is not necessarily the case. The argument to arrive at this conclusion is made in terms of relatively straightforward concepts of elasticity and structural mechanics. It is shown that for certain classes of materials, the reduced prebuckling length is more than compensated for by a softening of the elastic response, leading to a reduction of the Euler critical load.

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All data, models, and code generated or used during the study appear in the published article.

References

Bazant, Z. P., and L. Cedolin. 1991. Stability of structures. Oxford, UK: Oxford University Press.
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Engesser F. 1889. “Über die knickfestigkeit gerader stäbe.” In Zeitschrift des architekten und ingenieur vereins zu hannover, 455–462. Berlin: Ernst & Sohn.
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Filipich, C. P., and M. B. Rosales. 2000. “A further study on the postbuckling of extensible rods.” Int. J. Non-Linear Mech. 35 (6): 997–1022. https://doi.org/10.1016/S0020-7462(99)00076-1.
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Mazzilli, C. E. N. 2009. “Buckling and post-buckling of extensible rods revisited: A multiple-scale solution.” Int. J. Non-Linear Mech. 44 (2): 200–208. https://doi.org/10.1016/j.ijnonlinmec.2008.11.005.
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Information & Authors

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 149Issue 12December 2023

History

Received: Apr 16, 2023
Accepted: Jul 25, 2023
Published online: Sep 19, 2023
Published in print: Dec 1, 2023
Discussion open until: Feb 19, 2024

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Professor, Dept. of Mechanical and Manufacturing Engineering, Univ. of Calgary, 2500 University Dr. NW, Calgary, AB, Canada T2N1N4. ORCID: https://orcid.org/0000-0003-1216-0039. Email: [email protected]

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