Experimental Evidence of Erosion of Critical Load in Interactive Buckling
Publication: Journal of Structural Engineering
Volume 139, Issue 5
Abstract
The paper starts with a selective review of some basic contributions related to local-overall buckling mode interactions in thin-walled steel members. Then, the results of an intensive experimental study carried out at the Politehnica University of Timisoara with the purpose of evaluating the erosion of a theoretical bifurcation load in the distortional-flexural buckling interaction range in pallet rack uprights are presented. Two different sizes of cross sections, with and without perforations, have been studied. To evaluate and quantify the erosion, the erosion of the critical bifurcation load approach is applied. This approach enables one to use the European buckling curves in the Ayrton-Perry format, expressing the imperfection factor () in terms of the erosion coefficient (). It allows estimation of the member’s ultimate capacity, taking into account the interaction of sectional (local or distortional) and member (flexural, torsional, or flexural-torsional) instability modes. Test results and the evaluation procedure for the erosion coefficient () and imperfection factor (), applied on tested specimens, are presented.
Get full access to this article
View all available purchase options and get full access to this article.
References
ABAQUS 6.7.1 [Computer software]. Vélizy-Villacoublay, France, Dassault Systèmes.
American Iron and Steel Institute. (2004). “Supplement 2004 to the North American specification for the design of cold-formed steel structural members, 2001 edition: Appendix 1, Design of cold-formed steel structural members using direct strength method.” SG05-1, Washington, DC.
Bjorhovde, R. (1972). “Deterministic and probabilistic approaches to the strength of steel columns.” Ph.D. dissertation, Lehigh Univ., Bethlehem, PA.
Camotim, D., and Dinis, P. B. (2011). “Coupled instabilities with distortional buckling in cold-formed steel lipped channel columns.” Thin-Walled Struct., 49(5), 562–575.
Crisan, A. (2011). “Buckling strength of cold-formed steel sections applied in pallet rack structures.” Ph.D. thesis, Politehnica Univ. of Timisoara, Timisoara, Romania.
Dubina, D. (1996). “General report on coupled instabilities in bar members.” Proc., 2nd Int. Conf. on Coupled Instabilities in Metal Structures—CIMS’96, Imperial College Press, London, 119–132.
Dubina, D. (2001). “The ECBL approach for interactive buckling of thin-walled steel members.” Steel Compos. Struct., 1(1), 75–96.
Dubina, D., and Ungureanu, V. (2002). “Effect of imperfections on numerical simulation on instability behaviour of cold-formed steel members.” Thin-walled Struct., 40(3), 239–262.
EN1993-1-1. (2005). Eurocode 3: Design of steel structures, Part 1-1: general rules and rules for buildings. European Committee for Standardization-CEN, Brussels, Belgium.
European Committee for Standardization. (2008). “Execution of steel structures and aluminium structures—Part 2: Technical requirements for steel structures.” EN1090-2, Brussels, Belgium.
European Committee for Standardization. (2009). “Steel static storage systems—Adjustable pallet racking systems—Principles for structural design.” EN15512, Brussels, Belgium.
European Convention for Constructional Steelwork. (1977). “European recommendations for steel construction.” ECCS_23, Brussels, Belgium.
Gioncu, V. (1994). “General theory of coupled instability.” Thin-walled Struct., 19(2–4), 81–128.
Gioncu, V., Balut, N., Dubina, D., Moldovan, A., and Pacoste, C. (1992). “Coupled instabilities in mono-symmetrical steel compression members.” J. Constr. Steel Res., 21(1–3), 71–95.
Hemp, W. S. (1945). “The theory of flat panels buckled in compression.” Aeronautical Research Council Rep. and Memoranda No. 2178, Her Majesty’s Stationery Office, London.
Kiymaz, G. (2005). “FE based mode interaction analysis of thin-walled steel box columns under axial compression.” Thin-walled Struct., 43(7), 1051–1070.
Koiter, W. T. (1970). “A translation of the stability of elastic equilibrium.” Technical Rep. AFFDL_TR-70-25, U.S. Air Force, Wright-Patterson Air Force Base, OH.
Koiter, W. T. (1976). “General theory of mode interaction in stiffened plates and shell structures.” Technical Rep. WTHD-91, Delft Univ. of Technology, Delft, Netherlands.
Koiter, W. T., and Kuiken, G. (1971). “The interaction between local buckling and overall buckling on the behavior of built-up columns.” Technical Rep. WTHD-23, Delft Univ. of Technology, Delft, Netherlands.
Rondal, J., and Maquoi, R. (1979). “Formulations d’Ayrton-Perry pour le flambement des barres métalliques.” Construct. Métallique, 4, 41–53 (in French).
Schafer, B. W. (2008). “Review: The direct strength method of cold-formed steel member design.” J. Constr. Steel Res., 64(7–8), 766–778.
Schafer, B. W., and Peköz, T. (1998). “Computational modeling of cold-formed steel characterizing geometric imperfections and residual stresses.” J. Constr. Steel Res., 47(3), 193–210.
Silvestre, N., Camotim, D., and Dinis, P. B. (2009). “Direct strength prediction of lipped channel columns experiencing local-plate/distortional interaction.” Adv. Steel Constr., 5(1), 49–67.
Thompson, J. M. T., and Hunt, G. W. (1973). A general theory of elastic stability, Wiley, New York.
Thompson, J. M. T., and Lewis, G. M. (1972). “On the optimum design of thin walled compression members.” J. Mech. Phys. Solids, 20(2), 101–109.
Tvergaard, V. (1973a). “Imperfection-sensitivity of a wide integrally stiffened panel under compression.” Int. J. Solids Struct., 9(1), 177–192.
Tvergaard, V. (1973b). “Influence of post buckling behavior on optimum design of stiffened panels.” Int. J. Solids Struct., 9(12), 1519–1534.
van der Neut, A. (1968). “The interaction of local buckling and column failure of thin-walled compression members.” Rep. VTH 149, Dept. of Aeronautical Engineering, Delft Univ. of Technology, Delft, Netherlands.
van der Neut, A. (1973). “The sensitivity of thin-walled compression members to column axis imperfection.” Int. J. Solids Struct., 9(8), 999–1011.
Yang, D., and Hancock, G. J. (2004). “Compression tests of high strength steel channel columns with interaction between local and distortional buckling.” J. Struct. Eng., 130(12), 1954–1963.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 139 • Issue 5 • May 2013
Pages: 705 - 716
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Nov 28, 2011
Accepted: May 18, 2012
Published online: Apr 15, 2013
Published in print: May 1, 2013
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.