Instability of Monosymmetric I‐Beams
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Volume 110, Issue 6
Abstract
The elastic flexural-torsional instability of monosymmetric I-beams and cantilevers is investigated using a general energy approach based on the vanishing of the second variation of the total potential energy. For simply supported beams, closed form solutions are presented which are valid for a wide range of section properties and which include the influence of pre-buckling displacements. Where the closed form solutions become inaccurate, and for cantilevers, numerical results are presented.
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References
1.
Anderson, J. M., and Trahair, N. S., “Stability of Monosymmetric Beams and Cantilevers,” Journal of the Structural Division, ASCE, Vol. 98, No. ST1, Jan., 1972, pp. 269–286.
2.
Chen, W. F., and Atsuta, T., “Theory of Beam‐Columns,” Vol. 2, Space Behavior and Design, McGraw‐Hill Book Co., Inc., New York, N.Y., 1977.
3.
Kitipornchai, S., and Trahair, N. S., “Buckling Properties of Monosymmetric I‐Beams,” Journal of the Structural Division, ASCE, Vol. 106, No. ST5, May, 1980, pp. 941–957.
4.
Roberts, T. M., “Second Order Strains and Instability of Thin‐Walled Bars of Open Cross‐Section,” International Journal of Mechanical Science, Vol. 23, 1981, pp. 297–306.
5.
Roberts, T. M., and Azizian, Z. G., “Instability of Thin‐Walled Bars,” Journal of Engineering Mechanics, ASCE, Vol. 109, No. EM3, June, 1983, pp. 781–794
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Published In
Journal of Structural Engineering
Volume 110 • Issue 6 • June 1984
Pages: 1415 - 1419
Copyright
Copyright © 1984 ASCE.
History
Published online: Jun 1, 1984
Published in print: Jun 1984
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