TECHNICAL PAPERS
Jul 1, 1993

Distortional Buckling Curves for Composite Beams

Publication: Journal of Structural Engineering
Volume 119, Issue 7

Abstract

This paper presents simple elastic analysis of uniformly loaded composite steel‐concrete beams simply supported, but with an additional spring having arbitrary stiffness to restrain in‐plane rotation at each end that can become infinite, to give clamped ends. Thus it is possible to represent members continuous over internal supports. The analysis allows for the difference between sagging and hogging bending rigidities along the member, using a simple approach of comparing areas under the curvature diagram of the beam. Hence design curves are presented that model the buckling of the lower flange in its own plane. These can be used for any combination of clamped, simply supported and free in‐plane end conditions of the flange. This enables distortional buckling stresses and end bending moments, plus the uniformly distributed loads causing them, to be predicted for a very wide range of composite beams with reinforced slabs of any probable proportions. Therefore the curves can be considered to form a concise parametric study, covering a wide range of beam sections. Their use is illustrated by an example.

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References

1.
Anderson, M. S., and Williams, F. W. (1986). “BUNVIS‐RG: An exact buckling and vibration program for lattice structures, with repetitive geometry and sub‐structuring options.” 27th AIAA/ASME/ASCE/AHS Structs., Struct. Dynamics and Mat. Conf., Part 2, American Institute of Aeronautics and Astronautics, New York, N.Y., 211–220.
2.
Bradford, M. A., and Gao, Z. (1992). “Distortional buckling solutions for continuous composite beams.” J. Struct. Engrg., ASCE, 118(1), 73–89.
3.
Chin, C. K., Al‐Bermani, F. G. A., and Kitipornchai, S. (1992). “Stability of thin‐walled members having arbitrary flange shape and flexible web.” Engrg. Struct., 14(2), 121–132.
4.
Goltermann, P., and Svensson, S. E. (1988). “Lateral distortional buckling: Predicting elastic critical stress.” J. Struct. Engrg., ASCE, 114(7), 1606–1625.
5.
Svensson, S. E. (1985). “Lateral buckling of beams analysed as elastically supported columns subject to a varying axial force.” J. Constr. Steel Res., 5, 179–193.
6.
Williams, F. W. (1990). Discussion of “Lateral distortional buckling: Predicting elastic critical stress.” by P. Goltermann and S. E. Svensson, J. Struct. Engrg., ASCE, 116(5), 1465–1467.
7.
Williams, F. W., and Jemah, A. K. (1987). “Buckling curves for elastically supported columns with varying axial force, to predict lateral buckling of beams.” J. Constr. Steel Res., 7(2), 133–147.
8.
Williams, F. W., and Jemah, A. K. (1993). Discussion of “Distortional buckling solutions for continuous composite beams.” by M. A. Bradford and Z. Gao, J. Struct. Engrg., ASCE, 119(2), 672–674.
9.
Wittrick, W. H., and Williams, F. W. (1974). “Buckling and vibration of anisotropic or isotropic plate assemblies under combined loadings.” Int. J. Mech. Sci., 16, 209–239.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 119Issue 7July 1993
Pages: 2134 - 2149

History

Received: Aug 7, 1992
Published online: Jul 1, 1993
Published in print: Jul 1993

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Authors

Affiliations

Fred W. Williams
Prof. of Civ. Engrg., Univ. of Wales College of Cardiff, Cardiff CF2 1XH, Wales
Adel K. Jemah
Res. Assoc., Univ. of Wales College of Cardiff, Cardiff CF2 1XH, Wales
Diem H. Lam
Res. Student, Univ. of Wales College of Cardiff, Cardiff CF2 1XH, Wales

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