Buckling of Monosymmetric I‐Beams under Moment Gradient
Publication: Journal of Structural Engineering
Volume 112, Issue 4
Abstract
The paper investigates the elastic lateral buckling of simply supported monosymmetric I‐beams under moment gradient. Independent solutions are obtained using the finite integral method and the Rayleigh‐Ritz energy approach. The elastic buckling moments depend on the degree of beam monosymmetry, ρ, the beam parameter, and the end moment ratio, β. Buckled mode shapes reveal that the buckling deformations of the beams have complicated forms. It is found that the present design moment modification factor formula cannot satisfactorily predict the buckling capacities of monosymmetric I‐beams. An alternative approximate buckling formula is proposed.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Anderson, J. M., and Trahair, N. S., “Stability of Monosymmetric Beams and Cantilevers,” Journal of the Structural Division, ASCE, Vol. 98, No. ST1, Jan., 1972, p. 269.
2.
Barsoum, R. S., and Gallagher, R. H., “Finite Element Analysis of Torsional and Torsional‐Flexurai Stability Problems,” International Journal of the Numerical Methods in Engineering, Vol. 2, 1970, p. 335.
3.
Brown, P. T., and Trahair, N. S., “Finite Integral Solution of Differential Equations,” Civil Engineering Transactions, Institution of Engineers, Australia, Vol. CE10, No. 2, 1968, p. 193.
4.
BS 449‐1969 Specification for the Use of Structural Steel in Buildings, British Standards Institution, London, England, 1969.
5.
Hill, H. N., “The Lateral Instability of Unsymmetrical I‐Sections,” Journal of Aeronautical Sciences, Vol. 9, No. 9, Mar., 1942, p. 175.
6.
Kerensky, O. A., Flint, A. R., and Brown, W. C., “The Basis for Design of Beams and Plate Girders in the Revised British Standard 153,” Proceedings of Institution of Civil Engineers, London, England, Part 3, Vol. 5, Aug., 1956, p. 396.
7.
Kitipornchai, S., and Richter, N. J., “Elastic Lateral Buckling of I‐Beams with Discrete Intermediate Restraints,” Civil Engineering Transactions, Institution of Engineers, Australia, Vol. CE20, No. 2, 1978, p. 105.
8.
Kitipornchai, S., and Trahair, N. S., “Elastic Stability of Tapered I‐Beam,” Journal of the Structural Division, ASCE, Vol. 98, No. ST3, Mar., 1972, p. 713.
9.
Kitipornchai, S., and Trahair, N. S., “Buckling of Inelastic I‐Beams under Moment Gradient,” Journal of the Structural Division, ASCE, Vol. 101, No. ST5, May, 1975, p. 991.
10.
Kitipornchai, S., and Trahair, N. S., “Buckling Properties of Monosymmetric I‐Beams,” Journal of the Structural Division, ASCE, Vol. 106, No. ST5, May, 1980, p. 941.
11.
Kitipornchai, S., Dux, P. F., and Richter, N. J., “Buckling and Bracing of Cantilevers,” Journal of the Structural Engineering Division, ASCE, Vol. 110, No. 9, Sept., 1984, p. 2250.
12.
Nethercot, D. A., “Elastic Lateral Buckling of Beams,” Chapter 1 of Beam and Beam‐Columns, Stability and Strength, R. Narayanan, Ed., Applied Science Publishers, London, England, 1983.
13.
O'Connor, C., “The Buckling of a Monosymmetric Beam Loaded in the Plane of Symmetry,” Australian Journal of Applied Science, East Melbourne, Australia, Vol. 15, No. 4, Dec., 1964, p. 191.
14.
Pettersson, O., “Combined Bending and Torsion of I‐Beams of Monosymmetric Cross‐Section,” Bulletin No. 10, Division of Building Statistics and Structural Engineering, Royal Institute of Technology, Stockholm, Sweden, Dec., 1951.
15.
Specification for the Design, Fabrication and Erection of Standard Steel for Buildings, American Institute of Steel Construction, New York, NY, 1972.
16.
Taylor, J. C., Dwight, J. B., and Nethercot, D. A., “Buckling of Beams and Struts: Proposals for a New British Code,” Proceedings. Conference on Metal Structures and the Practising Engineers, Institution of Engineers, Australia, Nov., 1974, p. 27.
17.
Timoshenko, S. P., and Gere, J. M., Theory of Elastic Stability, McGraw‐Hill, New York, NY, 1961.
18.
Trahair, N. S., The Behaviour and Design of Steel Structures, Chapman and Hall, London, England, 1977.
19.
Winter, G., “Lateral Stability of Unsymmetrical I‐Beams and Trusses in Bending,” Proceedings, ASCE, Vol. 67, No. 10, Dec., 1941, p. 1851.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 112 • Issue 4 • April 1986
Pages: 781 - 799
Copyright
Copyright © 1986 ASCE.
History
Published online: Apr 1, 1986
Published in print: Apr 1986
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.