Flexural-Torsional Buckling Resistance Design of Circular Arches with Elastic End Restraints
Publication: Journal of Structural Engineering
Volume 142, Issue 2
Abstract
This paper presents the flexural-torsional buckling resistance and design of steel circular arches subjected to uniform compression with elastic end bending restraints by using finite element (FE) numerical analyses. Firstly, effects of geometric and mechanical parameters such as initial imperfections, section types, material properties, slenderness, rise-to-span ratios, and end restraints on flexural-torsional buckling resistances of arches are investigated and are found to be eliminated to a large extent by introducing the normalized slenderness. Then, on the basis of extensive numerical results, a design method is proposed to predict the flexural-torsional buckling resistances of circular arches in uniform compression with elastic end restraints by the column curves according to the normalized slenderness and a specific section type, namely curve ‘’ for hollow sections, curve ‘’ for welded box sections, and curve ‘’ for welded I-sections. Next, the flexural stiffness of an arch is studied, taking the destabilizing effect of the axial force into account to calculate the end restraining provided by adjacent arch segments to the adverse segment in a laterally-braced arch in uniform compression to obtain the flexural-torsional buckling resistance using the normalized slenderness and the column curve analytically. The result shows a good agreement with that gained from finite element numerical analyses, and proves it very conservative when the adverse segment is assumed to be hinged without any end restraining.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work has been supported by the National Natural Science Foundation of China (Grant No. 51278273) and the China Postdoctoral Science Foundation (Grant No. 2012M510457) awarded to the first author.
References
ANSYS R13.0 [Computer software]. Canonsberg, PA, ANSYS.
Bradford, M. A., and Pi, Y. L. (2012). “Elastic flexural-torsional buckling of discretely restrained arches.” J. Struct. Eng., 719–727.
CEN (European Committee for Standardization). (2006). “Design of steel structures. Part 2: Steel bridges.”, Brussels.
Code of China. (2003). “Code for design of steel structures.” GB50017-2003, Planning Press, Beijing.
Dou, C. (2012). “Out-of-plane stability and design of steel arches.” Ph.D. thesis, Tsinghua Univ., Beijing.
Dou, C., and Guo, Y. L. (2012). “Out-of-plane inelastic stability and strength design of circular arches in uniform compression.” J. Build. Struct., 33(1), 104–110.
Dou, C., and Guo, Y. L. (2013). Design fundamentals and application of contemporary steel arch structures, Science Press, Beijing.
Dou, C., Guo, Y. L., Pi, Y. L., and Zhao, S. Y. (2014). “Flexural-torsional buckling and ultimate resistance of parabolic steel arches subjected to uniformly distributed vertical load.” J. Struct. Eng., 04014075.
Dou, C., Guo, Y. L., Zhao, S. Y., and Pi, Y. L. (2015). “Experimental investigation into flexural-torsional ultimate resistance of steel circular arches.” J. Struct. Eng., 04015006.
Guo, Y. L., Lin, B., and Guo, Y. F. (2011). “Theoretical and experimental studies of in-plane stability design of circular arches subjected to axial force and moment.” Chin. Civ. Eng. J., 44(3), 8–15.
Guo, Y. L., Zhao, S. Y., and Dou, C. (2014a). “Out-of-plane elastic buckling behavior of hinged planar truss arch with lateral bracings.” J. Constr. Steel. Res., 95, 290–299.
Guo, Y. L., Zhao, S. Y., Dou, C., and Pi, Y. L. (2014b). “Out-of-plane elastic buckling of circular arches with elastic end restraints.” J. Struct. Eng., 04014071.
La Poutré, D. B., Spoorenberg, R. C., Snijder, H. H., and Hoenderkamp, J. C. D. (2013). “Out-of-plane stability of roller bent steel arches—An experimental investigation.” J. Constr. Steel. Res., 81, 20–34.
Pi, Y. L., and Bradford, M. A. (2003). “Inelastic buckling and strength of steel I-section arches with central torsional restraints.” Thin. Wall. Struct., 41(7), 663–689.
Pi, Y. L., and Bradford, M. A. (2005). “Out-of-plane strength design of fixed steel I-section arches.” J. Struct. Eng., 560–568.
Pi, Y. L., Papangelis, J. P., and Trahair, N. S. (1995). “Prebuckling deformations and flexural-torsional buckling of arches.” J. Struct. Eng., 1313–1322.
Pi, Y. L., and Trahair, N. S. (1998). “Out-of-plane inelastic buckling and strength of steel arches.” J. Struct. Eng., 174–183.
Sakimoto, T., and Kamatsu, S. (1983). “Ultimate Strength formula for steel arches.” J. Struct. Eng., 613–627.
Spoorenberg, R. C., Snijder, H. H., Hoenderkamp, J. C. D., and Beg, D. (2012). “Design rules for out-of-plane stability of roller bent steel arches with FEM.” J. Constr. Steel. Res., 79, 9–21.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, 2nd Ed., McGraw-Hill, New York.
Ziemian, R. D. (2010). Guide to stability design criteria for metal structures, 6th Ed., Wiley, New York.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 142 • Issue 2 • February 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Nov 12, 2014
Accepted: Jun 10, 2015
Published online: Jul 17, 2015
Discussion open until: Dec 17, 2015
Published in print: Feb 1, 2016
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.