Out-of-Plane Inelastic Buckling and Strength of Steel Arches
Publication: Journal of Structural Engineering
Volume 124, Issue 2
Abstract
An arch loaded in-plane may suddenly deflect laterally and twist out of the plane of loading and fail in a flexural-torsional buckling mode. This paper investigates the out-of-plane inelastic flexural-torsional buckling and strength of steel arches using a finite-element model in a three-dimensional nonlinear inelastic analysis. The 3D elastic-plastic behavior of an arch is determined by taking into account the effects of the in-plane curvature of the arch, subtended angle, large deformations, material inelasticity, initial crookedness, and residual stresses. The strengths of steel arches in uniform compression and in uniform bending are studied. It is found that the design rules for steel columns and beams cannot be used directly for the design of steel arches. Design rules for steel arches in uniform compression and in uniform bending are developed based on the results of the finite-element analyses. The effects of initial crookedness and twist, residual stresses, and yield stress on the strengths of arches are also investigated.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
AS4100-1990, steel structures. (1990). Standards Australia, Sydney, Australia.
2.
BHP hot rolled carbon steel sections and plates. (1972). The Broken Hill Proprietary Co. Ltd., Melbourne, Australia.
3.
Chini, S. A., and Wolde-Tinsae, A. M. (1988). “Critical load and postJ. Engrg. Mech., ASCE, 114(9), 1435–1453.
4.
Guide to stability design criteria for metal structures. (1988). 4th Ed., T. V. Galambos, ed., John Wiley & Sons, Inc., New York, N.Y.
5.
Kee, C. F.(1961). “Lateral inelastic buckling of tied arches.”J. Struct. Div., ASCE, 87(1), 23–39.
6.
Komatsu, S., and Sakimoto, T.(1977). “Ultimate load carrying capacity of steel arches.”J. Struct. Div., ASCE, 103(12), 2323–2336.
7.
Ojalvo, M., Demuts, E., and Tokarz, F.(1969). “Out-of-plane buckling of curved member.”J. Struct. Div., ASCE, 95(10), 2305–2316.
8.
Papangelis, J. P., and Trahair, N. S.(1987a). “Flexural-torsional buckling of arches.”J. Struct. Engrg., ASCE, 113(4), 889–906.
9.
Papangelis, J. P., and Trahair, N. S. (1987b). “Finite element analysis of arch lateral buckling.”Civ. Engrg. Trans., Canberra, Australia, CE29(1), 34–39.
10.
Papangelis, J. P., and Trahair, N. S.(1987c). “Flexural-torsional buckling tests on arches.”J. Struct. Engrg., ASCE, 113(7), 1433–1443.
11.
Pi, Y.-L., Papangelis, J. P., and Trahair, N. S. (1994). “Prebuckling deformations and flexural-torsional buckling of arches.”Res. Rep. No. R695, School of Civ. and Min. Engrg., The University of Sydney, Sydney, Australia.
12.
Pi, Y.-L., Papangelis, J. P., and Trahair, N. S.(1995). “Prebuckling deformations and flexural-torsional buckling of arches.”J. Struct. Engrg., ASCE, 121(9), 1313–1322.
13.
Pi, Y.-L., and Trahair, N. S.(1994). “Nonlinear inelastic analysis of steel beam-columns. I: Theory.”J. Struct. Engrg., ASCE, 120(7), 2041–2061.
14.
Pi, Y.-L., and Trahair, N. S. (1995). “Nonlinear inelastic analysis of arches.”Structure-stability and design, S. Kitipornchai et al., eds., A. A. Balkema, Rotterdam, The Netherlands, 113–118.
15.
Pi, Y.-L., and Trahair, N. S.(1996). “Three-dimensional nonlinear analysis of elastic arches.”Engrg. Struct., 18(1), 49–63.
16.
Rajasekaran, S., and Padmanabhan, S.(1989). “Equations of curved beams.”J. Struct. Engrg., ASCE, 115(5), 1094–1111.
17.
Sakimoto, T., and Komatsu, S.(1983). “Ultimate strength formula for steel arches.”J. Struct. Engrg., ASCE, 109(3), 613–627.
18.
Saleeb, A. F., and Gendy, A. S.(1991). “Shear-flexible models for spatial buckling of thin-walled curved beams.”Int. J. Numer. Methods in Engrg., 31(4), 729–757.
19.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, 2nd Ed., McGraw-Hill Book Co. Inc., New York, N.Y.
20.
Tokarz, F. J.(1971). “Experimental study of lateral buckling of arches.”J. Struct. Div., ASCE, 97(2), 545–559.
21.
Tokarz, F. J., and Sandhu, R. S.(1972). “Lateral-torsional buckling of parabolic arches.”J. Struct. Div., ASCE, 98(5), 1161–1179.
22.
Vacharajittiphan, P., and Trahair, N. S.(1975). “Flexural-torsional buckling of curved members.”J. Struct. Div., ASCE, 101(6), 1223–1238.
23.
Vlasov, V. Z. (1961). Thin-walled elastic beams, 2nd Ed., Israel Program for Scientific Translation, Jerusalem, Israel.
24.
Wen, R. K., and Lange, J.(1981). “Curved beam element for arch buckling analysis.”J. Struct. Div., ASCE, 107(11), 2053–2069.
25.
Yang, Y.-B., and Kuo, S.-R.(1987). “Effect of curvature on stability of curved beams.”J. Struct. Engrg., ASCE, 113(6), 821–841.
26.
Yang, Y.-B., Kuo, S.-R., and Cherng, Y.-D.(1989). “Curved beam elements for non-linear analysis.”J. Engrg. Mech., ASCE, 115(4), 840–855.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 124 • Issue 2 • February 1998
Pages: 174 - 183
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Feb 1, 1998
Published in print: Feb 1998
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.