Design of Cold-Formed Steel Built-Up Back-to-Back Columns Subject to Local-Flexural Interactive Buckling
Publication: Journal of Structural Engineering
Volume 149, Issue 12
Abstract
The North American Standard (NAS) and the European Standard (EC3) for cold-formed steel design provide limited guidelines for the strength predictions of built-up columns. The existing design equations are limited to flexural buckling and local-flexural interactive buckling. The present study evaluates the local-flexural interactive design equations for cold-formed steel built-up back-to-back I-section columns against the results of experimental and numerical studies. The results show that the existing design guidelines for local-flexural interactive buckling are unconservative by about 17%, 5%, and 15% for DSM-NAS, EWM-NAS, and EWM-EC3, respectively. Furthermore, a maximum reduction in the built-up column strength by local-flexural interaction is observed when its nominal local and flexural buckling loads are close. Based on the results and observations, new design equations are proposed by including the product of nominal local and flexural buckling loads for the North American and European standards, which capture the local-flexural interactive buckling in built-up I-section columns. The effect of fastener spacing on the ultimate load for local-flexural interactive buckling is also evaluated, and its effect is found to be small, unlike for global buckling. The minimum fastener spacing criteria of NAS are assessed, and suitable recommendations are provided for fixed-end columns. Overall, the present study provides insights into the local-flexural interactive buckling behavior of built-up I-section columns and proposes reliable design equations to predict the ultimate load.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors thank the Indian Institute of Technology Madras (India) and Queensland University of Technology (Australia) for providing financial support and the research infrastructure facilities for the research work reported in this paper.
References
ABAQUS. 2019. ABAQUS standard user’s manual, version 6.19. Johnston, RI: Dassault Systemes Simulia Corporation.
AISC (American Institute of Steel Construction) and LRFD. 1986. Manual of steel construction: Load and resistance factor design manual of steel construction. Chicago: AISC.
Anil Kumar, M. V., and V. Kalyanaraman. 2012. “Design strength of locally buckling stub-lipped channel columns.” J. Struct. Eng. 138 (11): 1291–1299. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000575.
Anil Kumar, M. V., and V. Kalyanaraman. 2018. “Interaction of local, distortional, and global buckling in CFS lipped channel compression members.” J. Struct. Eng. 144 (2): 04017192. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001935.
Australian/New Zealand Standard. 2018. Cold-formed steel structures. AS/NZS-4600. Sydney, Australia: Australian/New Zealand Standard.
Bambach, M. R. 2010. “Unified element and section approach to design of cold-formed steel structures.” J. Struct. Eng. 136 (4): 343–353. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000120.
Cava, D., D. Camotim, P. B. Dinis, and A. Madeo. 2016. “Numerical investigation and direct strength design of cold-formed steel lipped channel columns experiencing local–distortional–global interaction.” Thin Walled Struct. 105 (Feb): 231–247. https://doi.org/10.1016/j.tws.2016.03.025.
CEN (European Committee for Standardization). 2006a. Eurocode 3: Design of steel structures. General rules. Plated structural elements. EN 1993-1-5. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2006b. Eurocode 3: Design of steel structures. General rules. Supplementary rules for cold-formed members and sheeting. EN 1993-1-3. Brussels, Belgium: CEN.
Chen, B., K. Roy, A. Uzzaman, G. Raftery, and J. B. Lim. 2020. “Axial strength of back-to-back cold-formed steel channels with edge-stiffened holes, un-stiffened holes and plain webs.” J. Constr. Steel Res. 174 (Nov): 106313. https://doi.org/10.1016/j.jcsr.2020.106313.
Deng, L., J. Li, Y. Yang, and P. Deng. 2020. “Imperfection sensitivity analysis and DSM design of web-stiffened lipped channel columns experiencing local-distortional interaction.” Thin Walled Struct. 152 (Jul): 106699. https://doi.org/10.1016/j.tws.2020.106699.
Dinis, P. B., and D. Camotim. 2011. “Post-buckling behaviour and strength of cold-formed steel lipped channel columns experiencing distortional/global interaction.” Comput. Struct. 89 (3–4): 422–434. https://doi.org/10.1016/j.compstruc.2010.11.015.
Fratamico, D. C., S. Torabian, K. J. Rasmussen, and B. W. Schafer. 2016. “Experimental investigation of the effect of screw fastener spacing on the local and distortional buckling behavior of built-up cold-formed steel columns.” In Proc., Int. Specialty Conf. on Cold-Formed Steel Structures. Rolla, MO: Missouri Univ. of Science and Technology.
Fratamico, D. C., S. Torabian, X. Zhao, K. J. Rasmussen, and B. W. Schafer. 2018. “Experiments on the global buckling and collapse of built-up cold-formed steel columns.” J. Constr. Steel Res. 144 (Mar): 65–80. https://doi.org/10.1016/j.jcsr.2018.01.007.
Li, Q. Y., and B. Young. 2022. “Experimental and numerical investigation on cold-formed steel built-up section pin-ended columns.” Thin Walled Struct. 170 (Feb): 108444. https://doi.org/10.1016/j.tws.2021.108444.
Li, Y., Y. Li, S. Wang, and Z. Shen. 2014. “Ultimate load-carrying capacity of cold-formed thin-walled columns with built-up box and I section under axial compression.” Thin Walled Struct. 79 (Mar): 202–217. https://doi.org/10.1016/j.tws.2014.02.003.
Li, Y. C., T. H. Zhou, L. R. Sang, and L. Zhang. 2020. “Design method for cold-formed steel u-section short columns.” Adv. Steel Constr. 16 (2): 146–155. https://doi.org/10.18057/IJASC.2020.16.2.6.
Lu, Y., T. Zhou, W. Li, and H. Wu. 2017. “Experimental investigation and a novel direct strength method for cold-formed built-up I-section columns.” Thin Walled Struct. 112 (Feb): 125–139. https://doi.org/10.1016/j.tws.2016.12.011.
Mahar, A. M., and S. A. Jayachandran. 2021. “A computational study on buckling behavior of cold-formed steel built-up columns using compound spline finite strip method.” Int. J. Struct. Stab. Dyn. 21 (5): 2150064. https://doi.org/10.1142/S0219455421500644.
Mahar, A. M., S. A. Jayachandran, and M. Mahendran. 2021a. “Direct strength method for cold-formed steel unlipped channel columns subject to local buckling.” Int. J. Steel Struct. 21 (6): 1977–1987. https://doi.org/10.1007/s13296-021-00547-1.
Mahar, A. M., S. A. Jayachandran, and M. Mahendran. 2021b. “Global buckling strength of discretely fastened back-to-back built-up cold-formed steel columns.” J. Constr. Steel Res. 187 (Mar): 106998. https://doi.org/10.1016/j.jcsr.2021.106998.
Mahar, A. M., S. A. Jayachandran, and M. Mahendran. 2022. “Design of locally buckling cold-formed steel built-up columns formed by unlipped channel sections.” Thin Walled Struct. 174 (May): 109132. https://doi.org/10.1016/j.tws.2022.109132.
Martins, A. D., D. Camotim, P. B. Dinis, and B. Young. 2015. “Local–distortional interaction in cold-formed steel columns: Mechanics, testing, numerical simulation and design.” In Vol. 4 of Structures, 38–57. Amsterdam, Netherlands: Elsevier. https://doi.org/10.1016/j.istruc.2015.10.005.
NAS (North American Specification). 2016. North American specification for the design of cold-formed steel structural members. Washington, DC: American Iron and Steel Institute.
Phan, D. K. 2020. “Strength and stiffness of built-up section columns.” Doctoral dissertation, School of Civil Engineering, Faculty of Engineering, Univ. of Sydney.
Phan, D. K., K. J. Rasmussen, and B. W. Schafer. 2021. “Tests and design of built-up section columns.” J. Constr. Steel Res. 181 (Mar): 106619. https://doi.org/10.1016/j.jcsr.2021.106619.
Phan, D. K., K. J. Rasmussen, and B. W. Schafer. 2022. “Numerical investigation of the strength and design of cold-formed steel built-up columns.” J. Constr. Steel Res. 193 (May): 107276. https://doi.org/10.1016/j.jcsr.2022.107276.
Rajkannu, J. S., and S. A. Jayachandran. 2022. “Experimental evaluation of DSM beam–column strength of cold-formed steel members under uniaxial eccentric compression.” Thin Walled Struct. 174 (Aug): 109096. https://doi.org/10.1016/j.tws.2022.109096.
Rasmussen, K. J., M. Khezri, B. W. Schafer, and H. Zhang. 2020. “The mechanics of built-up cold-formed steel members.” Thin Walled Struct. 154 (Sep): 106756. https://doi.org/10.1016/j.tws.2020.106756.
Roy, K., T. C. H. Ting, H. H. Lau, and J. B. Lim. 2018. “Effect of thickness on the behaviour of axially loaded back-to-back cold-formed steel built-up channel sections-experimental and numerical investigation.” In Vol. 16 of Structures, 327–346. Amsterdam, Netherlands: Elsevier. https://doi.org/10.1016/j.istruc.2018.09.009.
Schafer, B. W., and S. Ádány. 2006. “Buckling analysis of cold-formed steel members using CUFSM: Conventional and constrained finite strip methods.” In Proc., Eighteenth Int. Specialty Conf. on Cold-Formed Steel Structures, 39–54. Rolla, MO: Missouri Univ. of Science and Technology.
Selvaraj, S., and M. Madhavan. 2021. “Design of cold-formed steel built-up columns subjected to local-global interactive buckling using direct strength method.” Thin Walled Struct. 159 (Feb): 107305. https://doi.org/10.1016/j.tws.2020.107305.
Selvaraj, S., and M. Madhavan. 2022. “Experimental investigation and design considerations on cold-formed steel built-up I-section columns subjected to interactive buckling modes.” Thin Walled Struct. 175 (Jun): 109262. https://doi.org/10.1016/j.tws.2022.109262.
Stone, T. A., and R. A. LaBoube. 2005. “Behavior of cold-formed steel built-up I-sections.” Thin Walled Struct. 43 (12): 1805–1817. https://doi.org/10.1016/j.tws.2005.09.001.
Ting, T. C. H., K. Roy, H. H. Lau, and J. B. Lim. 2018. “Effect of screw spacing on behavior of axially loaded back-to-back cold-formed steel built-up channel sections.” Adv. Struct. Eng. 21 (3): 474–487. https://doi.org/10.1177/1369433217719986.
Vy, S. T., and M. Mahendran. 2022. “DSM design of fixed-ended slender built-up back-to-back cold-formed steel compression members.” J. Constr. Steel Res. 189 (May): 107053. https://doi.org/10.1016/j.jcsr.2021.107053.
Vy, S. T., M. Mahendran, and T. Sivaprakasam. 2021. “Built-up back-to-back cold-formed steel compression members failing by local and distortional buckling.” Thin Walled Struct. 159 (Feb): 107224. https://doi.org/10.1016/j.tws.2020.107224.
Whittle, J., and C. Ramseyer. 2009. “Buckling capacities of axially loaded cold-formed built-up C-channels.” Thin Walled Struct. 47 (2): 190–201. https://doi.org/10.1016/j.tws.2008.05.014.
Yang, X. S., and S. Deb. 2009. “Cuckoo search via Lévy flights.” In Proc., 2009 World Congress on Nature and Biologically Inspired Computing (NaBIC), 210–214. New York: IEEE.
Yang, X. S., and S. Deb. 2010. “Engineering optimization by cuckoo search.” Int. J. Math. Modell. Numer. Optim. 1 (4): 330–343. https://doi.org/10.1504/IJMMNO.2010.035430.
Ye, J., I. Hajirasouliha, and J. Becque. 2018. “Experimental investigation of local-flexural interactive buckling of cold-formed steel channel columns.” Thin Walled Struct. 125 (Aug): 245–258. https://doi.org/10.1016/j.tws.2018.01.020.
Young, B., and K. J. Rasmussen. 1998a. “Design of lipped channel columns.” J. Struct. Eng. 124 (2): 140–148. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:2(140).
Young, B., and K. J. Rasmussen. 1998b. “Tests of fixed-ended plain channel columns.” J. Struct. Eng. 124 (2): 131–139. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:2(131).
Young, B., and K. J. Rasmussen. 1999. “Shift of the effective centroid of channel columns.” J. Struct. Eng. 125 (5): 524–531. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:5(524).
Zandonini, R. 1985. “Stability of compact built-up struts: Experimental investigation and numerical simulation.” Construzioni Metalliche 4 (Jun): 288.
Zhang, J. H., and B. Young. 2012. “Compression tests of cold-formed steel I-shaped open sections with edge and web stiffeners.” Thin Walled Struct. 52 (Mar): 1–11. https://doi.org/10.1016/j.tws.2011.11.006.
Zhang, J. H., and B. Young. 2015. “Numerical investigation and design of cold-formed steel built-up open section columns with longitudinal stiffeners.” Thin Walled Struct. 89 (Jun): 178–191. https://doi.org/10.1016/j.tws.2014.12.011.
Zhang, J. H., and B. Young. 2018. “Finite element analysis and design of cold-formed steel built-up closed section columns with web stiffeners.” Thin Walled Struct. 131 (Oct): 223–237. https://doi.org/10.1016/j.tws.2018.06.008.
Zhou, T., Y. Li, H. Wu, Y. Lu, and L. Ren. 2020. “Analysis to determine flexural buckling of cold-formed steel built-up back-to-back section columns.” J. Constr. Steel Res. 166 (Mar): 105898. https://doi.org/10.1016/j.jcsr.2019.105898.
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Received: Apr 15, 2023
Accepted: Jul 31, 2023
Published online: Oct 9, 2023
Published in print: Dec 1, 2023
Discussion open until: Mar 9, 2024
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