TECHNICAL NOTES
Dec 13, 2002

Effect of Base Fixity on Buckling of Heavy Column with End Load

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Publication: Journal of Engineering Mechanics
Volume 129, Issue 1

Abstract

This paper studies the effect of a rotationally restrained base on the buckling of a standing column subjected to both its own weight and a tip load. The characteristic equation is derived analytically in terms of Bessel functions. The results show stability is greatly compromised when the base is not securely fixed. Rotational spring constants for some simple base constraints are estimated.

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References

Column Research Committee (1971). Handbook of Structural Stability, Corona, Tokyo, Chap. 1.
Greenhill, A. G.(1881). “Determination of the greatest height consistent with stability that a vertical pole or mast must be made, and of the greatest height to which a tree of given proportions can grow.” Proc. Cambridge Philos. Soc., 4(2), 65–73.
Gurfinkel, G., and Robinson, A. R.(1965). “Buckling of elastically restrained columns.” J. Struct. Div., ASCE, 91(6), 159–183.
Hoff, N. J. (1956). The analysis of structures, Wiley, New York, Chap. 3.
Timoshenko, S. P., and Gere, J. M. (1961). The theory of elastic stability, McGraw-Hill, New York, Chap. 2.
Wang, C. Y., and Drachman, B.(1981). “Stability of a heavy column with an end load.” J. Appl. Mech., 48(3), 668–669.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 129Issue 1January 2003
Pages: 117 - 119

History

Received: Oct 23, 2000
Accepted: May 28, 2002
Published online: Dec 13, 2002
Published in print: Jan 2003

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Authors

Affiliations

C. Y. Wang
Visiting Professor, Dept. of Mechanical Engineering, National Univ. of Singapore, Singapore 119260; also, Professor, Dept. of Mathematics, Michigan State Univ., East Lansing, MI, 48824.

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