Ultimate Load Behavior of Beams With Initial Imperfections
Publication: Journal of Structural Engineering
Volume 111, Issue 6
Abstract
More exact expressions of the fundamental equations of a member with initial imperfections subjected to the action of bending and torsional moments are derived. Since beam problems involve moderately large in‐plane deformation prior to collapse, only nonlinear terms of in‐plane displacement and in‐plane resulting force are considered in the numerical analysis using the transfer matrix method. In the formulation of stress resultants in a partially yielded section, the equivalent section properties are used. The proposed idea is obtained by a transformed‐section method of analysis of reinforced concrete beams. Finally, the effects of initial deformation, initial lateral deflection, residual stress patterns, strain hardening, and load and support conditions on the ultimate strength and deformation behavior of beams are investigated.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Fukumoto, Y., and Kubo, M., “A Survey of Tests on Lateral Buckling Strength of Beams,” Preliminary Report of 2nd International Colloquium of Stability of Steel Structures, ECCS‐IABSE, Liege, 1977, pp. 233–240.
2.
Fukumoto, Y., Itoh, Y., and Kubo, M., “Strength Variation of Laterally Unsupported Beams,” Journal of the Structural Division, ASCE, Vol. 106, No. ST1, Jan., 1980, pp. 165–181.
3.
Fukumoto, Y., and Nishida, S., “Ultimate Load Behavior of Curved I‐Beams,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, Apr., 1981, pp. 367–385.
4.
Murry, D. W., and Rajasekaran, S., “Technique for Formulating Beam Equations,” Journal of the Engineering Mechanics Division, ASCE, Vol. 101, No. EM5, Oct., 1975, pp. 561–573.
5.
Nethercot, D. A., “Elastic Lateral Buckling of Beams,” Beams and Beam Columns, Chapt. 1, R. Narayanan, ed., Applied Science Publications, 1983.
6.
Nishino, F., et al., “Thin‐Walled Members Under Axial Force, Bending and Torsion,” Proceedings of the Japan Society of Civil Engineers, No. 225, May, 1974, pp. 1–15 (in Japanese).
7.
Rajassekaran, S., and Murray, D. W., “Finite Element Solution of Inelastic Beam Equations,” Journal of the Structural Division, ASCE, Vol. 99, No. ST6, June, 1973, pp. 1025–1041.
8.
Trahair, N., “Deformations of Geometrically Imperfect Beams,” Journal of the Structural Division, ASCE, Vol. 95, No. ST7, July, 1969, pp. 1475–1496.
9.
Trahair, N., and Woolcock, S., “Effect of Major Axis Curvature on I‐Beam Stability,” Journal of the Engineering Mechanics Division, ASCE, Vol. 99, No. EM1, Jan., 1971, pp. 85–98.
10.
Yoshida, H., and Maegawa, K., “Lateral Instability of I‐Beams with Imperfections,” Journal of Structural Engineering, ASCE, Vol. 110, No. 8, Aug., 1984, pp. 1875–1892.
11.
Zahn, J. J., “Lateral Stability of Beams with Initial Imperfections,” Journal of the Engineering Mechanics Division, ASCE, Vol. 109, No. EM2, June, 1983, pp. 821–835.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 111 • Issue 6 • June 1985
Pages: 1288 - 1305
Copyright
Copyright © 1985 ASCE.
History
Published online: Jun 1, 1985
Published in print: Jun 1985
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.