TECHNICAL PAPERS
Nov 1, 1986

Flexural‐Torsional Buckling of Arches

Publication: Journal of Structural Engineering
Volume 112, Issue 11

Abstract

A flexural‐torsional buckling theory for circular arches of doubly symmetric cross section is developed. Nonlinear expressions for the axial and shear strains are derived, and these are substituted into the second variation of the total potential to obtain the buckling equation. Closed form solutions are obtained for arches subjected to equal and opposite end moments (uniform bending), and to uniformly distributed radial loads (uniform compression), and for circular rings subjected to uniformly distributed radial loads. The results are compared with previous solutions.

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References

1.
Bleich, F., Buckling Strength of Metal Structures, McGraw‐Hill, New York, N.Y., 1964.
2.
Cheney, J. A., “Bending and Buckling of Thin‐Walled Open‐Section Rings,” Journal of the Engineering Mechanics Division, ASCE, Vol. 89, EM5, May, 1963, pp. 17–44.
3.
Goldberg, J. E., and Bogdanoff, J. L., “Out‐of‐Plane Buckling of I‐Section Rings,” Publications, International Association for Bridge and Structural Engineering, Vol. 22, 1962, pp. 73–92.
4.
Langhaar, H. L., Energy Methods in Applied Mechanics, John Wiley & Sons, Inc., New York, N.Y., 1962.
5.
Love, A. E. H., A Treatise on the Mathematical Theory of Elasticity, 4th ed., Dover, New York, N.Y., 1944.
6.
Ojalvo, M., Demuts, E., and Tokarz, F., “Out‐of‐Plane Buckling of Curved Members,” Journal of the Structural Division, ASCE, Vol. 95, ST10, Oct., 1969, pp. 2305–2316.
7.
Papannelis, J. P., and Trahair, N. S., “Flexural‐Torsional Buckling of Arches,” Research Report R492, School of Civil and Mining Engineering, Univ. of Sydney, Australia, 1985.
8.
Rajasekaran, S., and Ramm, E., discussion of “Flexural‐Torsional Stability of Curved Beams,” by Chai Hong Yoo, Journal of Engineering Mechanics, ASCE, Vol. 110, EM1, Jan., 1984, pp. 144–148.
9.
Rotter, J. M., and Jumikis, P. T., “Elastic Buckling of Stiffened Ringbeams for Large Elevated Bins,” Proceedings, Metal Structures Conference of the Institution of Engineers, Melbourne, Australia, 1985, pp. 104–111.
10.
Smith, C. V., and Simitses, G. J., “Effect of Shear and Load Behaviour on Ring Stability,” Journal of the Engineering Mechanics Division, ASCE, Vol. 95, EM3, Mar., 1969, pp. 559–569.
11.
Timoshenko, S. P., and Gere, J. M., Theory of Elastic Stability, 2nd ed., McGraw‐Hill, New York, N.Y., 1961.
12.
Trahair, N. S., The Behaviour and Design of Steel Structures, Chapman and Hall, London, England, 1977.
13.
Trahair, N. S., “Lateral Buckling of Overhanging Beams,” Proceedings, Michael R. Home Conference on Instability and Plastic Collapse of Steel Structures, L. J. Morris, Ed., Granada Publishing, London, England, 1983, pp. 503–518.
14.
Trahair, N. S., and Woolcock, S. T., “Effect of Major Axis Curvature on I‐Beam Stability,” Journal of the Engineering Mechanics Division, ASCE, Vol. 99, EM1, Jan., 1973, pp. 85–98.
15.
Vacharajittiphan, P., and Trahair, N. S., “Flexural‐Torsional Buckling of Curved Members,” Journal of the Structural Division, ASCE, Vol. 101, ST6, June, 1975, pp. 1223–1238.
16.
Vacharajittiphan, P., Woolcock, S. T., and Trahair, N. S., “Effect of In‐Plane Deformation on Lateral Buckling,” Journal of Structural Mechanics, Vol. 3, No. 1, 1974, pp. 29–60.
17.
Vlasov, V. Z., Thin‐Walled Elastic Beams, 2nd ed., Israel Program for Scientific Translation, Jerusalem, 1961.
18.
Wen, R. K., and Lange, J., “Curved Beam Element for Arch Buckling Analysis,” Journal of the Structural Division, ASCE, Vol. 107, ST11, Nov., 1981, pp. 2053–2069.
19.
Yoo, C. H., “Flexural‐Torsional Stability of Curved Beams,” Journal of the Engineering Mechanics Division, ASCE, Vol. 108, EM6, June, 1982, pp. 1351–1369.
20.
Yoo, C. H., and Pfeiffer, P. A., “Elastic Stability of Curved Members,” Journal of Structural Engineering, ASCE, Vol. 109, ST12, Dec., 1983, pp. 2922–2940.
21.
Yoo, C. H., and Pfeiffer, P. A., “Buckling of Curved Beams with In‐Plane Deformation,” Journal of Structural Engineering, ASCE, Vol. 110, ST2, Feb., 1984, pp. 291–300.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 112Issue 11November 1986
Pages: 2494 - 2511

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Published online: Nov 1, 1986
Published in print: Nov 1986

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Authors

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John P. Papangelis
Research Student, School of Civ. and Mining Engrg., Univ. of Sydney, N.S.W. 2006, Australia
Nicholas S. Trahair, M. ASCE
Challis Prof. of Civ. Engrg., School of Civ. and Mining Engrg., Univ. of Sydney, N.S.W. 2006, Australia

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