A Simplified Procedure for Prediction of Ultimate Strength of Beam-Column Channel Sections

Osama Bedair

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DOI: 10.4236/eng.2011.310120                

Abstract

A design procedure is presented to estimate the load carrying capacity of beam-column channel sections. A reduced cross-section is used to compensate for the reduction in the post-buckling stiffness. The non-linear stress distribution acting on the entire channel width is replaced by simplified linear distributions. Using this simplified concept, the maximum stress in the post-buckling state, is assumed to be carried entirely by both edges while the central region of the channel remains unstressed. Thus a fraction of the channel section is considered in resisting the applied loading. This approximation enables the structural engineer to deal with a simplified stress distribution to compute the ultimate strength instead of the non-linear one.

Keywords

Channels, Steel Design

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	P. B. Dinis and D. Camotim, “Post-Buckling Behaviour and Strength of Cold-Formed Steel Lipped Channel Columns Ex-periencing Distortional/Global Interaction,” Computers and Structures, Vol. 89, No. 3-4, 2011, pp. 422-434. doi:10.1016/j.compstruc.2010.11.015
[2]	H. Luo, Y. Guo and Y. Xu, “Distortional Buckling of Cold-Formed Thin-Walled Channel Beams in Combined Compression and Minor Axis Bending,” Advanced Materials Research, Vol. 163-167, 2011, pp. 507-510. doi:10.4028/www.scientific.net/AMR.163-167.507
[3]	Z. Kolakowski and K. Kowal-Michalska, “Interactive Buckling Regarding the Axial Extension Mode of a Thin-Walled Chan-nel under Uniform Compression in the First Nonlinear Ap-proximation,” International Journal of Solids and Structures, Vol. 48, No. 1, 2011, pp. 119-125. doi:10.1016/j.ijsolstr.2010.09.010
[4]	X. Yao, Y. Li and Z. Shen, “Load-Carrying Capacity Estimation Methods for Cold-Formed Steel Lipped Channel Member Using Effective Width Method,” Advanced Materials Research, Vol. 163-167, 2011, pp. 90-101. doi:10.4028/www.scientific.net/AMR.163-167.90
[5]	T. Vrany, “Effect of Loading on the Rotational Restraint of Cold-Formed Purlins,” Thin-Walled Structures, Vol. 44, 2006, pp. 1287-1292. doi:10.1016/j.tws.2007.01.004
[6]	X. Chu, J. Rickard and L. Li, “Influence of Lateral Restraint on Lat-eral-Torsional Buckling of Cold-Formed Steel Purlins,” Thin-Walled Structures, Vol. 43, No. 5, 2005, pp. 800-810. doi:10.1016/j.tws.2004.10.012
[7]	W. Ren, S. Fang and B. Young, “Analysis and Design of Cold-Formed Steel Channels Subjected to Combined Bending and Web Crippling,” Thin-Walled Structures, Vol. 44, No. 3, 2006, pp. 314-320. doi:10.1016/j.tws.2006.03.009
[8]	B. Salhab and Y. Wang, “Equivalent Thickness of Cold- Formed Thin-Walled Channel Sections with Perforated Webs under Compression,” Thin-Walled Structures, Vol. 46, No. 7-9, 2008, pp. 823-838. doi:10.1016/j.tws.2008.01.029
[9]	J. Yan and B. Young, “Numerical Investigation of Channel Columns with Complex Stiffeners—Part I: Test Verification” Thin-Walled Structures, Vol. 42, No. 6, 2004, pp. 883-893. doi:10.1016/j.tws.2003.12.002
[10]	P. Jana and K. Bhaskar, “Stability Analysis of Simply-Supported Rectangular Plates under Non-Uniform Uniaxial Compression Using Rigorous and Approximate Plane Stress Solutions,” Thin Walled Structures, Vol. 44, No. 5, 2006, pp. 507-516. doi:10.1016/j.tws.2006.04.009
[11]	X. Wang, X. Wang, and X. Shi, “Differential Quadrature Buckling Analyses of Rectangu-lar Plates Subjected to Non-Uniform Distributed in-Plane Load-ings,” Thin Walled Structures, Vol. 44, No. 8, 2006, pp. 837-843. doi:10.1016/j.tws.2006.08.008
[12]	O. Bedair, “A Cost-Effective Design Procedure for Cold-Formed Lipped Channels under Uniform Compression,” Thin-Walled Struc-tures, Vol. 47, No. 11, 2009, pp. 1281-1294. doi:10.1016/j.tws.2009.04.001
[13]	CSA-2001, “Limit State Design of Steel Structures,” Canadian Standard Association CAN/CSA-S16-01, Mississauga, Ontario, 2001.
[14]	CISC-2006, “Handbook of Steel Construction,” Canadian Institute of Steel Construction, Toronto, Ontario, 2006.
[15]	AISC “Steel Construction Manual,” 13th Edition, American Institute of Steel Construction, Chicago, 2005.