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Journal of Architectural Engineering / Volume 15 / Issue 4 / TECHNICAL NOTES

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Approximate Derivation of Critical Buckling Load

J. Archit. Eng. 15, 139 (2009); http://dx.doi.org/10.1061/(ASCE)1076-0431(2009)15:4(139) (3 pages)

Jonathan Ochshorn

Associate Professor, Dept. of Architecture, College of Architecture, Art and Planning, Cornell Univ., 143 East Sibley Hall, Ithaca, NY 14853.

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(Submitted 21 April 2008; accepted 20 February 2009; published online 13 November 2009)

This paper proposes an approximate derivation for the critical buckling load of a column, based on the application of a uniformly loaded beam's midspan moment and deflection to the buckled column's rotational equilibrium. The curvature of a pin-ended member, when it buckles under axial load, is similar to the curvature assumed by the same member when it deflects under a uniformly distributed load applied transversely along its entire length. Euler's famous equation for critical buckling load is based, of course, on the former assumption, in which the deflected column assumes the shape of a sine curve. However, dividing a uniformly loaded beam's midspan moment by its deflection provides a conservative result for the critical buckling load, within 3% of Euler's value, that can be derived solely on the basis of these commonly used beam equations.

© 2009 ASCE

Article Outline

  1. Conclusions

KEYWORDS

ASCE SUBJECT HEADINGS

Buckling, Load factors, Columns

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1061/(ASCE)1076-0431(2009)15:4(139)

PUBLICATION DATA

ISSN

1076-0431 (print)  
1943-5568 (online)

Publisher

ASCE

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