Inelastic Lateral Buckling of Beam‐Columns
Publication: Journal of Structural Engineering
Volume 113, Issue 11
Abstract
An accurate line model based on the finite‐element method is developed for analyzing the inelastic lateral buckling of I‐section beams and beam‐columns. The prebuckling in‐plane bending is analyzed using a geometrically nonlinear finite‐element method that accounts for the effects of prebuckling displacements and residual stresses on yielding. The results of the prebuckling analysis allow the distributions of yielding and strain‐hardening throughout the beam to be determined. The out‐of‐plane flexural‐torsional buckling of the inelastic beam is analyzed by adapting an elastic tapered monosymmetric finite element. For this element, the deflections and twists are referred to an arbitrary straightline axis along the midheight of the web, instead of the shear center or centroidal axes. The elastic element is adapted for inelastic buckling by using reduced out‐of‐plane stiffnesses that allow for yielding and strainhardening. The method is used to give some indications of the accuracy of earlier studies based on less accurate assumptions.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abdel‐Sayed, G., and Aglan, A. A. (1973). “Inelastic lateral1 torsional buckling of beam columns.” Publications, IABSE, 33‐II, 1–16.
2.
Barsoum, R. S., and Gallagher, R. H. (1970). “Finite element analysis of torsional and torsional‐flexural stability problems.” Int. J. Numer. Methods Eng., 2(3), 335–352.
3.
Booker, J. R., and Kitipornchai, S. (1971). “Torsion of multi‐layered rectangular sections.” J. Engrg. Mech. Div., ASCE, 97(EM5), 1451–1468.
4.
Bradford, M. A. (1986). “Inelastic distortional buckling of I‐beams.” Comput. Struct., 24(6), 923–933.
5.
Cuk, P. E. (1984). “Flexural‐torsional buckling In framed structures,” thesis presented to the University of Sydney, at Sydney, Australia, in partial fulfilment of the requirements for the degree of Doctor of Philosophy.
6.
El Darwish, I. A., and Johnston, B. G. (1965). “Torsion of structural shapes.” J. Struct. Div., ASCE, 91(ST1), 203–277.
7.
El‐Zanaty, M. H., and Murray, D. W. (1983). “Nonlinear finite element analysis of steel frames.” J. Struct. Engrg., ASCE, 109(2), 353–368.
8.
Fukumoto, Y., and Galambos, T. V. (1966). “Inelastic lateral‐torsional buckling of beam‐columns.” J. Struct. Div., ASCE, 92(ST2), 41–61.
9.
Hancock, G. J., and Trahair, N. S. (1978). “Finite element analysis of the lateral buckling of continuously restrained beam‐columns,” Civ. Engrg. Trans., Institution of Engineers, Australia, CE20, 120–127.
10.
Kitipornchai, S., and Trahair, N. S. (1972). “Elastic stability of tapered I‐beams.” J. Struct. Div., ASCE, 98(ST3), 713–728.
11.
Kitipornchai, S., and Trahair, N. S. (1975a). “Buckling of inelastic I‐beams under moment gradient.” J. Struct. Div., ASCE, 101(ST5), 991–1004.
12.
Kitipornchai, S., and Trahair, N. S. (1975b). “Inelastic buckling of simply supported steel I‐beams.” J. Struct. Div., ASCE, 101(ST7), 1333–1347.
13.
Massey, P. C. (1967). “Inelastic lateral stability of open section steel beams under non‐uniform bending moments.” New Zealand Engrg., Wellington, New Zealand, 22(4), 135–140.
14.
Miranda, C., and Ojalvo, M. (1965). “Inelastic lateral‐torsional buckling of beam‐columns.” J. Engrg. Mech. Div., ASCE, 91(EM6), 21–37.
15.
Nakashima, M., Nakamura, T., and Wakabayashi, M. (1983). “Post‐buckling instability of steel beam‐columns.” J. Struct. Engrg., ASCE, 109(6), 1414–1430.
16.
Nethercot, D. A. (1973). “The solution of inelastic lateral stability problems by the finite element method.” Proceedings, 4th Australasian Conference on the Mechanics of Structures and Materials, Brisbane, Australia, University of Queensland, 183–190.
17.
Nethercot, D. A. (1974). “Residual stresses and their influences upon the lateral buckling of rolled steel beams.” Struct. Eng., 52(3), 89–96.
18.
Pennington, R. H. (1970). Introductory computer methods and numerical analysis. 2nd Ed., The MacMillan Company, Toronto, Canada.
19.
Powell, G., and Klinger, R. (1970). “Elastic lateral buckling of steel beams.” J. Struct. Div., ASCE, 96(ST9), 1919–1932.
20.
Rajasekaran, S. (1977). “Finite element method for plastic beam‐columns.” Theory of beam‐columns, W.‐F. Chen and T. Atsuta, eds., Vol. 2, McGraw Hill, New York, N.Y., 539–608.
21.
Rajasekaran, S., and Murray, D. W. (1973). “Solution techniques for geometrically nonlinear structures.” Struct. Engrg. Report 42, Department of Civil Engineering, University of Alberta, Edmonton, Canada.
22.
Trahair, N. S. (1983). “Inelastic lateral buckling of beams.” Developments in the stability and strength of structures: Vol. 2. Beams and beam‐columns, R. Narayanan, ed., Applied Science Publishers, Essex, England, 35–69.
23.
Trahair, N. S., and Kitipornchai, S. (1972). “Buckling of inelastic I‐beams under uniform moment.” J. Struct. Div., ASCE, 98(ST11), 2551–2566.
24.
Vinnakota, S. (1977). “Finite difference method for plastic beam‐columns.” Theory of beam‐columns, W.‐F. Chen and T. Atsuta, eds., Vol. 2, McGraw Hill, New York, N.Y., 451–503.
25.
White, M. W. (1960). “Inelastic lateral instability of beams and their bracing requirements,” thesis presented to Lehigh University, at Bethlehem, Pa., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
26.
Yoshida, H., and Imoto, Y. (1973). “Inelastic lateral buckling of restrained beams.” J. Engrg. Mech. Div., ASCE, 99(EM2), 343–366.
27.
Yoshida, H., Nethercot, D. A., and Trahair, N. S. (1977). “Analysis of inelastic buckling of continous beams.” Proc., IABSE, Periodica 3, P‐3/77, 1–14.
Information & Authors
Information
Published In
Copyright
Copyright © 1987 ASCE.
History
Published online: Nov 1, 1987
Published in print: Nov 1987
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.