TECHNICAL PAPERS
Dec 1, 1992

Flexural‐Torsional Stability of Thin‐Walled Columns

Publication: Journal of Engineering Mechanics
Volume 118, Issue 12

Abstract

This paper discusses the problem of flexural‐torsional stability of columns with open thin‐walled cross sections. It introduces an analytical solution technique applicable to the differential equation system describing the current problem. The approach derived is more comprehensive than those presented traditionally in the literature and is applicable in determining the value of critical load due to combined buckling modes. The system considered consists of three separate differential equations that are coupled in a general case. Various symmetries of the cross section release these couplings. This presentation is limited, for simplicity, only to columns having singly symmetric cross sections, or at least cross sections of point symmetry. Thus, there are couplings between two of the governing equations, The elastic restraints having varying stiffnesses with respect to translation, rotation, torsion and warping, separately, have been studied as boundary conditions through numerical examples. The stiffnesses of the restraints applied are chosen to cover the range from zero to infinity.

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References

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Barsoum, R. S., and Gallagher, R. H. (1970). “Finite element analysis of torsional and torsional‐flexural stability problems.” Int. J. Numer. Methods Engrg., 2(3), 335–352.
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Brush, D. O., and Almroth, B. O. (1975). Buckling of bars, plates and shells. McGraw‐Hill Book Co., New York, N.Y.
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Chen, W. F., and Atsuta, T. (1977). Theory of beam columns. Vol. 2: Space behavior and design. McGraw‐Hill Book Co., New York, N.Y.
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Gurfinkel, G., and Robinson, A. R. (1965). “Buckling of elastically restrained columns.” J. Struct. Div., ASCE, 91(6), 159–183.
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Pekoz, T. B., and Winter, G. (1979). “Torsional‐flexural buckling of thin‐walled sections under eccentric load.” J. Struct. Div., ASCE, 95(5), 941–963.
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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 118Issue 12December 1992
Pages: 2384 - 2400

History

Published online: Dec 1, 1992
Published in print: Dec 1992

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Authors

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Juha Paavola
Assoc. Prof., Helsinki Univ. of Tech., Dept. of Struct. Engrg., Rakentajanaukio 4A, SF‐02150 Espoo, Finland; formerly, Academic Visitor, City Univ. of London, Dept. of Civ. Engrg., Northampton Square, London EC1V OHB, U.K.
Seppo Salonen
Sr. Asst., Helsinki Univ. of Tech., Dept. of Struct. Engrg., Rakentajanaukio 4A, SF‐02150 Espoo, Finland

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