Local and Distortional Biaxial Bending Capacities of Cold-Formed Steel Storage Rack Uprights
Publication: Journal of Structural Engineering
Volume 144, Issue 6
Abstract
Cold-formed steel storage rack-supported buildings, also referred to as clad racks, support both the building enclosure and the stored goods. Because of combined actions of wind loading and stored pallets, uprights undergo a combination of biaxial bending and compression. The focus of attention of this paper is only on pure biaxial bending capacity of the uprights. In cold-formed steel structures international specifications, a linear interaction equation is typically used to account for members subject to biaxial bending and may be inaccurate. In order to produce safe and economical design guidelines, this paper experimentally investigates the actual interactive relationship between bending of the uprights about the major and minor axes, for local and distortional buckling. Two types of regularly perforated and nonperforated storage rack uprights are investigated. Results show that a nonlinear interactive relationship governs the biaxial bending of the studied uprights, and the linear interaction equation in design specifications underestimates the biaxial bending capacity by up to 44 and 68% for local and distortional buckling, respectively. Also, the accuracy of the direct strength method (DSM) to directly predict the local and distortional buckling strengths of the uprights under biaxial bending is investigated. Results show that DSM equations provide better predictions but still underestimate the biaxial bending capacity by up to 27 and 36% for local and distortional buckling, respectively.
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Acknowledgments
The authors express their gratitude to Mr. Tito Cudini from Modulblok S.p.A., Italy, and Modulblok S.p.A. for their continuous support and for providing the upright sections free of charge and rolled-forming Type A uprights for the sole purpose of this research.
References
ABAQUS. (2015). ABAQUS ver. 6.14 user’s manual, Providence, RI.
AISI (American Iron and Steel Institute). (2006). Direct strength method (DSM) design guide, Washington, DC.
AISI (American Iron and Steel Institute). (2016). “North American specification for the design of cold-formed steel structural members.” AISI-S100, Washington, DC.
AS (Standards Australia). (2007). “Metallic materials—Tensile testing at ambient temperature.” AS 1391, Sydney, Australia.
AS/NZS (Standards Australia and Standards New Zealand). (2005). Cold-formed steel structures, AS/NZS 4600, Sydney, Australia.
Baldassino, N., and Bernuzzi, C. (2000). “Analysis and behaviour of steel storage pallet racks.” Thin Walled Struct., 37(4), 277–304.
Bedair, O. (2011). “Serviceability and ultimate limit states of channels under compression and bi-axial bending.” J. Constr. Steel Res., 67(10), 1415–1425.
Bonada, J., Pastor, M., Roure, F., and Casafont, M. (2016). “Distortional influence of pallet rack uprights subject to combined compression and bending.” Structures, 8(2), 275–285.
Casafont, M., Pastor, M., Bonada, J., Roure, F., and Peköz, T. (2012). “Linear buckling analysis of perforated steel storage rack columns with the finite strip method.” Thin Walled Struct., 61, 71–85.
CEN (European Committee for Standardization). (2006). “Design of steel structures. General rules. Supplementary rules for cold-formed members and sheeting.” Eurocode 3, EN 1993-1-3, Brussels, Belgium.
Crisan, A., Ungureanu, V., and Dubina, D. (2012). “Behaviour of cold-formed steel perforated sections in compression. 1: Experimental investigations.” Thin Walled Struct., 61, 86–96.
Dinis, P. B., and Camotim, D. (2010). “Local/distortional mode interaction in cold-formed steel lipped channel beams.” Thin Walled Struct., 48(10), 771–785.
Dinis, P. B., Young, B., and Camotim, D. (2014). “Local-distortional interaction in cold-formed steel rack-section columns.” Thin Walled Struct., 81, 185–194.
Duan, L., and Chen, W.-F. (1990). “A yield surface equation for doubly symmetrical sections.” Eng. Struct., 12(2), 114–119.
Freitas, A. M. S., Freitas, M. S. D. R., and Souza, F. T. D. (2005). “Analysis of steel storage rack columns.” J. Constr. Steel Res., 61(8), 1135–1146.
Gilbert, B. P., Rasmussen, K. J., Baldassino, N., Cudini, T., and Rovere, L. (2012). “Determining the transverse shear stiffness of steel storage rack upright frames.” J. Constr. Steel Res., 78, 107–116.
Kumar, J. V., and Jayachandran, S. A. (2016). “Experimental investigation and evaluation of direct strength method on beam-column behavior of uprights.” Thin Walled Struct., 102, 165–179.
Moen, C. D., and Schafer, B. (2008). “Experiments on cold-formed steel columns with holes.” Thin Walled Struct., 46(10), 1164–1182.
Moen, C. D., and Schafer, B. W. (2011). “Direct strength method for design of cold-formed steel columns with holes.” J. Struct. Eng., 559–570.
Nguyen, N. T., Fung, T. C., and Young, B. (2006). “Strength and behavior of cold-formed steel Z-sections subjected to major axis bending.” J. Struct. Eng., 1632–1640.
Pham, C. H., and Hancock, G. J. (2013). “Experimental investigation and direct strength design of high-strength, complex C-sections in pure bending.” J. Struct. Eng., 1842–1852.
Put, B. M., Pi, Y.-L., and Trahair, N. (1999). “Biaxial bending of cold-formed Z-beams.” J. Struct. Eng., 1284–1290.
Roure, F., Pastor, M., Casafont, M., and Somalo, M. (2011). “Stub column tests for racking design: Experimental testing, FE analysis and EC3.” Thin Walled Struct., 49(1), 167–184.
Schafer, B. W. (2002). “Local, distortional, and Euler buckling of thin-walled columns.” J. Struct. Eng., 289–299.
Schafer, B. W. (2008). “Review: The direct strength method of cold-formed steel member design.” J. Constr. Steel Res., 64(7), 766–778.
Schafer, B. W., Li, Z., and Moen, C. D. (2010). “Computational modeling of cold-formed steel.” Thin Walled Struct., 48(10), 752–762.
Shanmugam, N. E., Liew, J. R., and Lee, S. (1989). “Thin-walled steel box columns under biaxial loading.” J. Struct. Eng., 2706–2726.
Shifferaw, Y., and Schafer, B. W. (2012). “Inelastic bending capacity of cold-formed steel members.” J. Struct. Eng., 468–480.
Silvestre, N., Camotim, D., and Dinis, P. B. (2012). “Post-buckling behaviour and direct strength design of lipped channel columns experiencing local/distortional interaction.” J. Constr. Steel Res., 73, 12–30.
Soroushian, P., and Choi, K.-B. (1987). “Steel mechanical properties at different strain rates.” J. Struct. Eng., 663–672.
Torabian, S., Fratamico, D. C., and Schafer, B. W. (2016). “Experimental response of cold-formed steel Zee-section beam-columns.” Thin Walled Struct., 98, 496–517.
Torabian, S., Zheng, B., and Schafer, B. W. (2014a). “Development of a new beam-column design method for cold-formed steel lipped channel members.” 22nd Int. Specialty Conf. on Cold-Formed Steel Design and Construction, Missouri Univ. of Science and Technology, Toronto, 359–376.
Torabian, S., Zheng, B., and Schafer, B. W. (2014b). “Experimental study and modeling of cold-formed steel lipped channel stub beam-columns.” Proc., Annual Stability Conf., Structural Stability Research Council, Missouri Univ. of Science and Technology, Toronto.
Torabian, S., Zheng, B., and Schafer, B. W. (2015). “Experimental response of cold-formed steel lipped channel beam-columns.” Thin Walled Struct., 89, 152–168.
Trouncer, A., and Rasmussen, K. (2014). “Flexural-torsional buckling of ultra light-gauge steel storage rack uprights.” Thin Walled Struct., 81, 159–174.
Wang, H., and Zhang, Y. (2009). “Experimental and numerical investigation on cold-formed steel C-section flexural members.” J. Constr. Steel Res., 65(5), 1225–1235.
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Published In
Journal of Structural Engineering
Volume 144 • Issue 6 • June 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: May 14, 2017
Accepted: Nov 1, 2017
Published online: Apr 10, 2018
Published in print: Jun 1, 2018
Discussion open until: Sep 10, 2018
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