Elastic Buckling of Cold-Formed Thin-Walled Channel Beams with Drop Flanges
Publication: Journal of Structural Engineering
Volume 136, Issue 7
Abstract
The subject of the paper is cold-formed thin-walled channel beams with open or closed profile of drop flanges. The geometric properties of two C-sections are described including warping functions and warping inertia moments. The analytical solutions of problems of global and local stability of thin-walled beams are presented. The theoretical solutions of elastic buckling problems of these beams are numerically found using FEM and are experimentally verified. The results of analytical and numerical investigations are compared and presented in the tables and figures.
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Acknowledgments
The work has been supported by the Ministry of Science and Higher Education under Grant No. UNSPECIFIED3387/T02/2007/32.
References
Bambach, M. R., and Rasmussen, K. J. R. (2004). “Effects of anchoring tensile stresses in axially loaded plates and sections.” Thin-Walled Struct., 42(10), 1465–1479.
Bebiano, R., Pina, P., Silvestre, N., and Camotim, D. (2008). “GBTUL-A GBT-based code for thin-walled member analysis.” Proc., 5th Int. Conf. on Thin-Walled Structures, M. Mahendran, ed., Vol. 2, Queensland Univ. of Technology, Brisbane, Australia, 1173–1181.
Camotim, D., and Silvestre, N. (2008). “Distortional buckling before and after Greg Hancock.” Proc., 5th Int. Conf. on Coupled Instabilities in Metal Structures. Vol. 2, K. Rasmussen and T. Wilkinson, eds., The Univ. of Sydney, Sydney, Australia, 155–167.
Chu, X., Kettle, R., and Li, L. (2004). “Lateral-torsional buckling analysis of partial-laterally restrained thin-walled channel-sections beam.” J. Constr. Steel Res., 60, 1159–1175.
Chu, X., Ye, Z., Kettle, R., and Li, L. (2005). “Bucklin behaviour of cold-formed steel channel section under uniformly distributed loads.” Thin-Walled Struct., 43, 531–542.
Davies, J. M. (2000). “Recent research advances in cold-formed steel structures.” J. Constr. Steel Res., 55(1–3), 267–288.
Dinis, P. B., and Camotim, D. (2008). “Local-plate/distortional mode interaction in cold-formed steel lipped channel beams.” Proc., 5th Int. Conf. on Coupled Instabilities in Metal Structures, Vol. 1, K. Rasmussen and T. Wilkinson, eds., The Univ. of Sydney, Sydney, Australia, 391–400.
Hancock, G. J. (2003). “Cold-formed steel structures.” J. Constr. Steel Res., 59(4), 473–487.
Ma, M., and Hughes, O. (1996). “Lateral distortional buckling of monosymmetric I-beams under distributed vertical load.” Thin-Walled Struct., 26(2), 123–145.
Magnucki, K. (2006). “Elastic buckling of selected flange of cold-formed thin-walled beams.” Nacjonalna Akademia Nauk Ukraini [Physical-Mathematical Modelling and Informational Technologies], 3, 116–128.
Magnucki, K., Maćkiewicz, M., and Lewiński, J. (2006). “Optimal design of a mono-symmetrical open cross section of a cold-formed beam with cosinusoidally corrugated flanges.” Thin-Walled Struct., 44(5), 554–562.
Magnucki, K., and Ostwald, M. (2005). Optimal design of selected open cross sections of cold-formed thin-walled beams, Publishing House of Poznan, Univ. of Technology, Poznan, Poland.
Magnucki, K., and Paczos, P. (2009). “Theoretical shape optimization of cold-formed thin-walled channel beams with drop flanges in pure bending.” J. Constr. Steel Res., 65, 1731–1737.
Magnucki, K., Szyc, W., and Stasiewicz, P. (2004). “Stress state and elastic buckling of a thin-walled beam with monosymmetrical open cross-section.” Thin-Walled Struct., 42(1), 25–38.
Magnucki, K., Zawodny, P., and Malinowski, M. (2007). “Optimal design of thin-walled beams with sandwich flange.” The 3rd Int. Conf. on Structural Engineering, Mechanics and Computations, Cape Town, South Africa, SEMC 2007, Recent Developments in Structural Engineering, Mechanics and Computation (CD-ROM), A. Zingoni, ed., Millpress Science Publishers, Rotterdam, The Netherlands, 367–368.
Moen, C. D., and Schafer, B. W. (2008). “Elastic buckling and tested response of cold-formed steel columns with holes.” Proc., 5th Int. Conf. on Thin-Walled Structures, Vol. 1, M. Mahendran, ed., Queensland Univ. of Technology, Brisbane, Australia, 75–83.
Ostwald, M., and Magnucki, K. (2008). Optimal designing of cold-formed thin-walled beams with open cross-sections, Poznan Univ. Technology, Poznan, Poland (in Polish).
Ostwald, M., Magnucki, K., and Rodak, M. (2007). “Bicriteria optimal design of open cross sections of cold-formed beams.” Steel Compos. Struct., 7(1), 53–70.
Paczos P, and Zawodny, P. (2007). “Experimental investigations and the application of ABAQUS software to the estimation of the critical load of cold-formed beams.” J. Mechanical Engineering and Production Management, 7, 85–94 (in Polish).
Paczos, P., Zawodny, P., and Magnucki, K. (2008). ”Stress state and displacements of cold formed thin-walled channel beams.” The 9th Int. Conf. on Computational Structures Technology, CST 2008, Athens, Greece.
Pastor, M. M., and Roure, F. (2008). “Open cross-section beams under pure bending. I. Experimental investigations.” Thin-Walled Struct., 46(25), 476–483.
Put, B. M., Pi, Y. -L., and Trahair, N. S. (1999). “Lateral buckling test on cold-formed channel beams.” J. Struct. Eng., 125(5), 532–539.
Samanta, A., and Kumar, A. (2006). “Distortional buckling in monosymmetrical I beams.” Thin-Walled Struct., 44, 51–56.
Schafer, B. W. (2002). “Local, Distortional, and Euler buckling of thin-walled columns.” J. Struct. Eng., 128(3), 289–299.
Schafer, B. W., and Adany, S. (2005). “Understanding and classifying local, distortional and global buckling in open thin-walled members.” Proc., Structural Stability Research Council Annual Stability Conf.
Silva, M. F., Silvestre, N., and Camotim, D. (2008). “Non-linear behavior and failure analysis of laminated FRP composite thin-walled members.” Proc., 5th Int. Conf. on Thin-Walled Structures, Vol. 2, M. Mahendran, ed., Queensland Univ. of Technology, Brisbane, Australia, 1189–1197.
Stasiewicz, P., Magnucki, K., Lewiński, J., and Kasprzak, J. (2004). “Local buckling of a bent flange of a thin walled beam.” PAMM, 4, 554–555.
Trahair, N. S. (2002). “Lateral buckling strengths of steel angle section beams.” Research Rep. No. R812, Dept. of Civil Engineering, The Univ. of Sydney, Sydney, NSW, Australia, 1–36.
Trahair, N. S., and Hancoock, G. J. (2004). “Steel member strength by inelastic lateral buckling.” J. Struct. Eng., 130(1), 64–69.
Ungureanu, V., Kotełko, M., Mania, R. J., and Dubina, D. (2008). “Plastic mechanism database for thin-walled steel members in comparison and bending.” Proc. 5th Int. Conf. on Coupled Instabilities in Metal Structures, Vol. 1, K. Rasmussen and T. Wilkinson, eds., The Univ. of Sydney, Sydney, Australia, 189–197.
Ventsel, E., and Krauthammer, T. (2001). Thin plates and shells: Theory, analysis and applications, Marcel Dekker, New York.
Wang, T., and Ikarashi, K. (2008). “Coupled buckling strength of H-Shaped steel beams under bending-sher.” Proc. 5th Int. Conf. on Coupled Instabilities in Metal Structures, Vol. 1, K. Rasmussen and T. Wilkinson, eds., The Univ. of Sydney, Sydney, Australia, 341–348.
Yu, C., and Schafer, B. W. (2007). “Simulation of cold-formed steel beams in local and distortional buckling with applications to the direct strength method.” J. Constr. Steel Res., 63, 581–590.
Zhang, L., and Tong, G. S. (2008). “Elastic flexural-torsional buckling of thin-walled cantilevers.” Thin-Walled Struct., 46, 27–37.
Zirakian, T. (2008). “Elastic distortional buckling of doubly symmetric I-shaped flexural members with slender webs.” Thin-Walled Struct., 46(5), 466–475.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 136 • Issue 7 • July 2010
Pages: 886 - 896
Copyright
© 2010 ASCE.
History
Received: Nov 13, 2008
Accepted: Dec 8, 2009
Published online: Jan 9, 2010
Published in print: Jul 2010
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