TECHNICAL PAPERS
Sep 1, 1984

Buckling and Bracing of Cantilevers

Publication: Journal of Structural Engineering
Volume 110, Issue 9

Abstract

The elastic flexural‐torsional buckling of cantilever I‐beams is investigated. The cantilevers have rigid translational or rotational restraints or both at discrete points. The effect of the beam parameter, K, the load height, the location of restraint positions along the beam, and the level at which the restraint acts have been studied using the finite integral method. Results are presented graphically as ratios of the increased critical load of the partially braced beam and the corresponding critical load of the unbraced beam. The beam load cases considered are concentrated loads and uniformly distributed loads. The effectiveness of the restraint locations and the types of restraint are investigated. Experiments conducted using extruded high strength aluminium I‐section are reported. Test results obtained are in reasonable agreement with the theoretical predictions.

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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, Paper 8648, 1972, pp. 269–286.
2.
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, pp. 193–196.
3.
Dux, P. F., and Kitipornchai, S., “Elastic Buckling of Laterally Continuous Beams,” Journal of the Structural Division, ASCE, Vol. 108, No. ST9, Paper 17320, 1982, pp. 2099–2116.
4.
Hancock, G. J., and Trahair, N. S., “Finite Element Analysis of the Lateral Buckling of Continuously Restrained Beam Columns,” Civil Engineering Transactions, Institution of Engineers, Australia, Vol. CE20, No. 2, 1978, pp. 120–127.
5.
Kitipornchai, S., discussion of “Lateral Stability of I‐Beams with Partial Supports,” by C. W. Roeder and M. Assadi, Journal of Structural Engineering, ASCE, Vol. 110, No. ST1, 1984, Paper 18477, pp. 178–181.
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Kitipornchai, S., and Richter, N. J., “Lateral Buckling of Beams with Discrete Braces,” Proceedings, Conference on Metal Structures, Institution of Engineers, Australia, Perth, Australia, 1978, pp. 54–59.
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, pp. 105–111.
8.
Mutton, B. R., and Trahair, N. S., “Stiffness Requirements for Lateral Bracing,” Journal of the Structural Division, ASCE, Vol. 99, No. ST10, Paper 10086, 1973, pp. 2167–2182.
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Nethercot, D. A., “The Effective Lengths of Cantilevers as Governed by Lateral Buckling,” The Structural Engineer, Vol. 51, No. 5, 1973, pp. 161–168.
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Richter, N. J., “Application of the Finite Integral Method to Lateral Buckling of I‐Beams,” Thesis presented to the University of Queensland, at Queensland, Australia, in 1978, in partial fulfillment of the requirements for the degree of Master of Engineering Science.
11.
Roeder, C. W., and Assadi, M., “Lateral Stability of I‐Beams with Partial Supports,” Journal of the Structural Division, ASCE, Vol. 108, No. ST8, Paper 17279, 1982, pp. 1768–1780.
12.
Vacharajittiphan, P., Woolcock, S. T., and Trahair, N. S., “Effect of In‐Plane Deformation on Lateral Buckling,” Journal of Structural Mechanics, Vol. 3, 1974.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 110Issue 9September 1984
Pages: 2250 - 2262

History

Published online: Sep 1, 1984
Published in print: Sep 1984

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Authors

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Sritawat Kitipomchai
Sr. Lect. in Civ. Engrg., Univ. of Queensland, Queensland, Australia
Peter F. Dux
Lect. in Civ. Engrg., Capricornia Inst. of Advanced Education, Queensland, Australia
Neville J. Richter
System Programmer, Dept. of Mech. Engrg., Univ. of Queensland, Queensland, Australia

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