Nonlinear Inelastic Analysis of Steel Beam‐Columns. II: Applications
This article is a reply.
VIEW THE ORIGINAL ARTICLEPublication: Journal of Structural Engineering
Volume 120, Issue 7
Abstract
In a companion paper, a nonlinear inelastic analysis of the biaxial bending and torsion of beam‐columns was presented. Approximations were not made in the early stage of the development, and thus some significant terms were retained. The present paper uses a finite‐element procedure of the companion paper to investigate numerically the elastic‐plastic behavior of I‐beams. The problems include the large‐deflection in‐plane elastic and inelastic behavior of columns and beam‐columns; torsion of beams and beam‐columns; eccentric and inclined loading of beams; the effects of initial crookedness and twist on the lateral buckling strength of beams; and the postbuckling flexural‐torsional behavior of beams. The flexural‐torsional design strength of steel I‐beams is also studied. The results indicate that the procedure is capable of carrying out an accurate nonlinear analysis including postbuckling analysis. It is demonstrated that ignoring some significant terms may lead to an overestimation of buckling loads, poor prediction of post‐buckling behavior, and failure to find the correct maximum load capacity.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
AS4100‐1990. Steel structures. Standards Australia, Sydney, N.S.W., Australia.
2.
Banerjee, A. K., and Lemak, M. E. (1991). “Multi‐flexible body dynamics capturing motion‐induced stiffness.” J. Appl. Mech., 58(3), 766–775.
3.
Bild, S., Chen, G., and Trahair, N. S. (1992). “Out‐of‐plane strength of steel beams.” J. Struct. Engrg., ASCE, 118(8), 1987–2003.
4.
Chen, G., and Trahair, N. S. (1992). “Inelastic nonuniform torsion of steel I‐beams.” J. Constr. Steel Res., 23(1–3), 189–207.
5.
Farwell, C. R., and Galambos, T. V. (1969). “Nonuniform torsion of steel beams in inelastic range.” J. of Struct. Div., ASCE, 95(12), 2813–2829.
6.
Hancock, G. J., and Trahair, N. S. (1978). “Finite element analysis of the lateral buckling of continuously restrained beam‐columns.” Civ. Engrg. Trans., Barton A.C.T. Australia, CE20(2), 120–127.
7.
Kane, T. R., Ryan, R. R., and Banerjee, A. K. (1987). “Dynamics of a cantilever beam attached to a moving space.” J. Guidance, Control, and Dynamics, 10(2), 139–151.
8.
Pi, Y. L., and Trahair, N. S. (1992a). “Prebuckling deflections and lateral buckling. I: theory.” J. Struct. Engrg., ASCE, 118(11), 2949–2966.
9.
Pi, Y. L., and Trahair, N. S. (1992b). “Prebuckling deflections and lateral buckling. II: applications.” J. Struct. Engrg., ASCE, 118(11), 2967–2985.
10.
Pi, Y. L., and Trahair, N. S. (1994). “Nonlinear inelastic analysis of steel beam‐columns. I: theory.” J. Struct. Engrg., ASCE, 120(7), 2041–2061.
11.
Simo, J. C., and Vu‐Quoc, L. (1987). “The role of non‐linear theories in transient dynamic analysis of flexible structures.” J. Sound and Vibration, 119(3), 487–508.
12.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, 2nd. Ed., McGraw‐Hill, New York, N.Y.
13.
Trahair, N. S., and Bradford, M. A. (1991). The behaviour and design of steel structures, revised 2nd Ed., Chapman and Hall, London, England.
14.
Woolcock, S. T., and Trahair, N. S. (1974). “Post‐buckling behaviour of determinate beams.” J. Engrg. Mech. Div., ASCE, 100(2), 151–171.
15.
Woolcock, S. T., and Trahair, N. S. (1976). “Post‐buckling of redundant I‐beams.” J. Engrg. Mech. Div., ASCE, 102(2), 293–312.
Information & Authors
Information
Published In
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Mar 5, 1993
Published online: Jul 1, 1994
Published in print: Jul 1994
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.