TECHNICAL PAPERS
Jun 1, 1983

Buckling of Beams with Concentrated Moments

Publication: Journal of Structural Engineering
Volume 109, Issue 6

Abstract

Present methods for approximating the elastic lateral buckling load of a continuous beam are unnecessarily conservative when the beam is loaded by concentrated moments. This is because the significant warping restraints which may develop at points of concentrated moment are neglected. In this paper, an improved approximate method is developed which allows for these warping restraints. The method uses an effective length concept to allow for the warping and minor axis flexural interactions between adjacent segments at brace points and supports. The warping restraint effective length factors are estimated from the concentrated moments and the anti‐symmetry of the bending moment distribution about the brace point, and initial estimates are made of the buckling loads of the individual segments. These estimates are then improved by allowing approximately for the flexural interaction between adjacent segments. The accuracy of the new method is demonstrated for a wide variety of cases.

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References

1.
Barsoum, R. S., and Gallagher, R. H., “Finite Element Analysis of Torsional and Torsional‐Flexural Stability Problems,” International Journal for Numerical Methods in Engineering, Vol. 2, 1970, pp. 335–352.
2.
Cuk, P. E., and Trahair, N. S., “Elastic Buckling of Beam‐Columns with Unequal End Moments,” The Civil Engineering Transactions, The Institution of Engineers, Australia, Vol. CE23, No. 3, 1981, pp. 166–171.
3.
Dux, P. F., and Kitipornchai, S., “Buckling Approximations for Laterally Continuous Elastic I‐Beams,” Research Report No. CE11, Department of Civil Engineering, University of Queensland, Brisbane, Australia, Apr., 1980.
4.
Hancock, G. J., and Trahair, N. S., “Finite Element Analysis of the Lateral Buckling of Continuously Restrained Beam‐Columns,” The Civil Engineering Transactions, The Institution of Engineers, Australia, Vol. CE20, No. 2, 1978, pp. 120–127.
5.
Nethercot, D. A., “Recent Progress in the Application of the Finite Element Method to Problems on Lateral Buckling of Beams,” Proceedings, EIC Conference on Finite Element Methods in Civil Engineering, Montreal, Canada, June, 1972 p. 367.
6.
Nethercot, D. A., and Trahair, N. S., “Inelastic Lateral Buckling of Determinate Beams,” Journal of the Structural Division, ASCE, Vol. 102, No. ST4, Proc. Paper 12020, Apr., 1976, pp. 701–717.
7.
Nethercot, D. A., and Trahair, N. S., “Lateral Buckling Approximations for Elastic Beams,” The Structural Engineer, The Institution of Structural Engineers, United Kingdom, Vol. 54, No. 6, June, 1976, pp. 197–204.
8.
Nethercot, D. A., and Trahair, N. S., “Lateral Buckling Calculations for Braced Beams,” The Civil Engineering Transactions, The Institution of Engineers, Australia, Vol. CE19, No. 2, 1977, pp. 211–214.
9.
Salvadori, M. G., “Lateral Buckling of Beams of Rectangular Cross‐Section Under Bending and Shear,” Proceedings, First United States National Congress of Applied Mechanics, 1951, pp. 403–405.
10.
SAA, Steel Structures Code, AS1250—1981, Standards Association of Australia, Sydney, Australia, 1981.
11.
Trahair, N. S., “Interaction Buckling of Plane Frames,” Steel Construction, Australian Institute of Steel Construction, Australia, Vol. 3, No. 1, 1969.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 109Issue 6June 1983
Pages: 1387 - 1401

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Published online: Jun 1, 1983
Published in print: Jun 1983

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Authors

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Peter E. Cuk
Research Student in Civ. Engrg., Univ. of Sydney, N.S.W., Australia
Nicholas S. Trahair, M. ASCE
Prof. of Civ. Engrg., Univ. of Sydney, N.S.W., Australia

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