Geometric and Material Nonlinear Analysis of Thin‐Walled Beam‐Columns
Publication: Journal of Structural Engineering
Volume 116, Issue 6
Abstract
In this paper, the effect of plastic area deformation after local yielding of thin‐walled beam‐columns is studied. Beyond the yield point of the material in the beam‐columns, the effective stress‐strain curve is determined by experiment. The solution method uses the finite element concept in conjunction with a finite segment method of cross section. Simpson's rule is used to calculate the elastic stiffness matrix for the integration over the member length. Nonlinear equations are solved by using incremental iterative techniques. Some numerical examples are given and compared with the experimental work. The results are satisfactory.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bridgeman, P. W. (1952). Studies in large plastic flow and fracture. McGraw‐Hill Book Company, New York, N.Y.
2.
Chan, S. L., and Kitipornchai, S. (1986). “Inelastic post‐buckling behaviour of tubular struts.” Research Report CE75, Department of Civil Engineering, Univ. of Queensland, Brisbane, Australia.
3.
Chan, S. L., and Kitipornchai, S. (1988). “Inelastic post‐buckling behavior of tubular struts.” J. Struct. Engr., ASCE, 114(5), 1091–1105.
4.
Crisfield, M. A. (1983). “A fast incremental/iterative solution procedure that handles snap‐through.” Comput. Struct., 13(2), 871–879.
5.
Gere, J. M., and Weaver, W. (1965). Analysis of framed structures. Litton Educational Publishing, Inc., Van Nostrand Reinhold Ltd., New York, N.Y.
6.
Han, D. J., and Chen, W. F. (1983). “Behaviour of portal and strut types of beam‐columns.” Engrg. Struct., 5(1), 15–25.
7.
Hill, R. (1950). The mathematical theory of plasticity. Clarendon Press, United Kingdom.
8.
Kitipornchai, S., Al‐Bermani, F. G. A., and Chan, S. L. (1988). “Geometric and material nonlinear analysis of structures comprising rectangular hollow sections.” Engrg. Struct., 10(1), 13–23.
9.
Meek, J. L. (1971). Matrix structural analysis. McGraw‐Hill Book Company, New York, N.Y.
10.
Meek, J. L., and Loganathan, S. (1989). “Geometrically nonlinear behavior of space structures.” Comput. Struct., 31(1), 35–45.
11.
Meek, J. L., and Tan, H. S. (1983). “Large deflection and post buckling analysis of two and three dimensional elastic spatial frames.” Research Report CE49, Department of Civil Engineering, Univ. of Queensland, Brisbane, Australia.
12.
Meek, J. L., and Tan, H. S. (1984). “Geometrically nonlinear analysis of space frames by an incremental iterative technique.” Comput. Methods Appl. Mech. Engrg., 47(3), 261–282.
13.
Owen, D. R. J., and Hinton, E. (1980). Finite elements in plasticity theory and practice. Pineridge Press Limited, Swansea, U.K.
14.
Ramm, E. (1981). “Strategies for tracing the nonlinear response near limit points.” W. Wunderlich, E. Stein, and K. J. Bathe, eds., Nonlinear finite element analysis in structural mechanics, Springer‐Verlag, Berlin, Germany, 63–69.
15.
Saleep, A. F., and Chen, W. F. (1981). “Elastic‐plastic large displacement analysis of pipes.” J. Struct. Div., ASCE, 107(4), 605–626.
16.
Sherman, D. R. (1980). “Post‐local buckling behavior of tubular strut type beam‐columns: An experimental study.” Report to Shell Oil Company, Univ. of Wisconsin, Milwaukee, Wis.
17.
Sugimoto, H., and Chen, W. F. (1985). “Inelastic post‐buckling behavior of tubular members.” J. Struct. Engrg., ASCE, 11(9), 1965–1978.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 116 • Issue 6 • June 1990
Pages: 1473 - 1490
Copyright
Copyright © 1990 ASCE.
History
Published online: Jun 1, 1990
Published in print: Jun 1990
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.