Distortional buckling behavior and design method of cold-formed steel lipped channel with rectangular holes under axial compression

Yanli Guo; Xingyou Yao; Yanli Guo; Xingyou Yao

doi:10.3934/mbe.2021312

Mathematical Biosciences and Engineering

2021, Volume 18, Issue 5: 6239-6261. doi: 10.3934/mbe.2021312

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Research article

Distortional buckling behavior and design method of cold-formed steel lipped channel with rectangular holes under axial compression

Yanli Guo ^{1
,
,},
Xingyou Yao ²

1.
School of Civil Engineering and Architecture, Nanchang University, Nanchang, Jiangxi 330000, China
2.
Jiangxi Province Key Laboratory of Hydraulic and Civil Engineering Infrastructure Security, Nanchang Institute of Technology, Nanchang, Jiangxi 330000, China

Academic Editor: Xiaodong Huang

Received: 21 June 2021 Accepted: 12 July 2021 Published: 19 July 2021

The use of cold-formed steel (CFS) channel sections with rectangular holes in the web is becoming gradually popular in building structures. However, such holes can result in sections becoming more susceptible to be distortional buckling and display lower load-carrying capacities. This paper presents a total of 44 axially-compressed tests of CFS lipped channel columns with and without rectangular web holes including different hole sizes and cross-sections. The test results show that the specimens were controlled by distortional buckling or interaction of local buckling and distortional buckling. The load-carrying capacities of specimens with rectangular holes were lower than that of specimens without hole. The load-carrying capacities of specimens were gradually decreased with the increasing of dimensions of holes. Then a nonlinear elasto-plastic finite element model (FEM) was developed and the analysis results showed good agreement with the test results. The validated FE model was used to conduct a parametric study involving 16 FEM to investigate the effects of the section, the dimension of the hole, and the number of holes on the ultimate strength of such channels. Furthermore, the formulas to predict the distortional buckling coefficient were developed for the section with holes by using the verified FEM. Finally, the tests and parametric study results were compared against the distortional buckling design strengths calculated in accordance with the developed method. The comparison results show that the proposed design method closely predict the load carrying capacity of CFS channel sections with rectangular web holes.
- cold-formed steel,
- axially-compressed columns,
- rectangular hole,
- distortional buckling,
- Interaction buckling,
- effective width method
Citation: Yanli Guo, Xingyou Yao. Distortional buckling behavior and design method of cold-formed steel lipped channel with rectangular holes under axial compression[J]. Mathematical Biosciences and Engineering, 2021, 18(5): 6239-6261. doi: 10.3934/mbe.2021312

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Abstract

The use of cold-formed steel (CFS) channel sections with rectangular holes in the web is becoming gradually popular in building structures. However, such holes can result in sections becoming more susceptible to be distortional buckling and display lower load-carrying capacities. This paper presents a total of 44 axially-compressed tests of CFS lipped channel columns with and without rectangular web holes including different hole sizes and cross-sections. The test results show that the specimens were controlled by distortional buckling or interaction of local buckling and distortional buckling. The load-carrying capacities of specimens with rectangular holes were lower than that of specimens without hole. The load-carrying capacities of specimens were gradually decreased with the increasing of dimensions of holes. Then a nonlinear elasto-plastic finite element model (FEM) was developed and the analysis results showed good agreement with the test results. The validated FE model was used to conduct a parametric study involving 16 FEM to investigate the effects of the section, the dimension of the hole, and the number of holes on the ultimate strength of such channels. Furthermore, the formulas to predict the distortional buckling coefficient were developed for the section with holes by using the verified FEM. Finally, the tests and parametric study results were compared against the distortional buckling design strengths calculated in accordance with the developed method. The comparison results show that the proposed design method closely predict the load carrying capacity of CFS channel sections with rectangular web holes.

References

[1]	B. W. Schafer, T. Pekoz, Laterally braced cold-formed steel flexural members with edge stiffened flanges, J. Struct. Eng., 125 (1999), 118-127. doi: 10.1061/(ASCE)0733-9445(1999)125:2(118)
[2]	B. W. Schafer, Local, distortional, and Euler buckling of thin-walled columns, J. Struct. Eng., 128 (2002), 289-299.
[3]	X. Yao, Distortional buckling behavior and design method of cold-formed thin-walled steel sections, 2012.
[4]	X. Yao, Y. Li, Distortional buckling strength of cold-formed thin-walled steel members with lipped channel section, Eng. Mech., 31 (2014), 174-181.
[5]	American Iron and Steel Institute, AISI S100-16, North American Specification for the Design of Cold-formed Steel Structural Members, Canadian Standards Association, 2016.
[6]	Ministry of Housing and Urban-Rural Development of the People's Republic of China, GB50018-2002, Technical code for cold-formed thin-walled steel structures, Chinese Planning Press, 2002.
[7]	A. Uzzaman, J. B. P. Lim, D. Nash, J. Rhodes, B. Young, Web crippling behaviour of cold-formed steel channel sections with offset web holes subjected to interior-two-flange loading, Thin-walled Struct., 50 (2012), 76-86. doi: 10.1016/j.tws.2011.09.009
[8]	A. Uzzaman, J. B. P. Lim, D. Nash, J. Rhodes, B. Young, Cold-formed steel sections with web openings subjected to web crippling under two-flange loading conditions-Part I: tests and finite element analysis, Thin-walled Struct., 56 (2012), 38-48. doi: 10.1016/j.tws.2012.03.010
[9]	A. Uzzaman, J. B. P. Lim, D. Nash, J. Rhodes, B. Young, Cold-formed steel sections with web openings subjected to web crippling under two-flange loading conditions-Part Ⅱ: parametric study and proposed design equations, Thin-walled Struct., 56 (2012), 79-87. doi: 10.1016/j.tws.2012.03.009
[10]	A. Uzzaman, J. B. P. Lim, D. Nash, J. Rhodes, B. Young, Effect of offset web holes on web crippling strength of cold-formed steel channel sections under end-two-flange loading condition, Thin-walled Struct., 65 (2013), 34-48. doi: 10.1016/j.tws.2012.12.003
[11]	Y. Lian, A. Uzzaman, J. B. P. Lim, G. Abdelal, D. Nash, B. Young, Effect of web holes on web crippling strength of cold-formed steel channel sections under end-one-flange loading condition-Part I: Tests and finite element analysis, Thin-walled Struct., 107 (2016), 443-452. doi: 10.1016/j.tws.2016.06.025
[12]	Y. Lian, A. Uzzaman, J. B. P. Lim, G. Abdelal, D. Nash, B. Young, Effect of web holes on web crippling strength of cold-formed steel channel sections under end-one-flange loading condition-Part Ⅱ: Parametric study and proposed design equations, Thin-walled Struct., 107 (2016), 489-501. doi: 10.1016/j.tws.2016.06.026
[13]	Y. Lian, A. Uzzaman, J. B. Lim, G. Abdelal, D. Nash, B. Young, Web crippling behaviour of cold-formed steel channel sections with web holes subjected to interior-one-flange loading condition-Part I: Experimental and numerical investigation, Thin-walled Struct., 111 (2017), 103-112. doi: 10.1016/j.tws.2016.10.024
[14]	Y. Lian, A. Uzzaman, J. B. Lim, G. Abdelal, D. Nash, B. Young, Web crippling behaviour of cold-formed steel channel sections with web holes subjected to interior-one-flange loading condition-Part Ⅱ: parametric study and proposed design equations, Thin-walled Struct., 114 (2017), 92-106. doi: 10.1016/j.tws.2016.10.018
[15]	C. H. Pham, Shear buckling of plates and thin-walled channel sections with holes, J. Constru. Steel Res., 128 (2017), 800-811. doi: 10.1016/j.jcsr.2016.10.013
[16]	S. H. Pham, C. H. Pham, G. J. Hancock, Direct strength method of design for channel sections in shear with square and circular web holes, J. Struct. Eng., 143 (2017), 04017017.
[17]	P. Keerthan, M. Mahendran, Improved shear design rules for lipped channel beams with web openings, J. Constru. Steel Res., 97 (2014), 127-142. doi: 10.1016/j.jcsr.2014.01.011
[18]	P. Keerthan, M. Mahendran, Experimental studies of the shear behaviour and strength of lipped channel beams with web openings, Thin-walled Struct., 173 (2013), 131-144.
[19]	D. K. Pham, C. H. Pham, G. J. Hancock, Parametric study for shear design of cold-formed channels with elongated web openings, J. Constru. Steel Res., 172 (2020), 106222.
[20]	C. D. Moen, A. Schudlic, A. V. Heyden, Experiments on cold-formed steel C-section joists with unstiffened web holes, J. Struct. Eng., 139 (2013), 695-704. doi: 10.1061/(ASCE)ST.1943-541X.0000652
[21]	J. Zhao, K. Sun, C. Yu, J. Wang, Tests and direct strength design on cold-formed steel channel beams with web holes, Eng. Struct., 184 (2019), 434-446. doi: 10.1016/j.engstruct.2019.01.062
[22]	Z. Fang, K. Roy, B. Chen, C. Sham, I. Hajirasoulih, J. B. P. Lima, Deep learning-based procedure for structural design of cold-formed steel channel sections with edge-stiffened and un-stiffened holes under axial compression, Thin-walled Struct., 166 (2021), 108076.
[23]	Z. Fang, K. Roy, B. Chen, C. Sham, I. Hajirasoulih, J. B. P. Lima, Deep learning-based axial capacity prediction for cold-formed steel channel sections using deep belief network, Structures, 166 (2021), 108076.
[24]	B. Chen, K. Roy, A. Uzzaman, G. M. Raftery, D. Nash, G. C. Clifton, et al., Effects of edge-stiffened web openings on the behaviour of cold-formed steel channel sections under compression, Thin-walled Struct., 144 (2019), 106307.
[25]	B. Chen, K. Roy, A. Uzzaman, G. M. Raftery, J. B. P. Lim, Parametric study and simplified design equations for cold-formed steel channels with edge-stiffened holes under axial compression, J. Constru. Steel Res., 144 (2020), 106161.
[26]	B. Chen, K. Roy, A. Uzzaman, G. M. Raftery, J. B. P. Lim, Axial strength of back-to-back cold-formed steel channels with edge-stiffened holes, un-stiffened holes and plain webs, J. Constru. Steel Res., 174 (2020), 106313.
[27]	A. Uzzaman, J. B. P. Lim, D. Nash, K. Roy, Web crippling behaviour of cold-formed steel channel sections with edge-stiffened and unstiffened circular holes under interior-two-flange loading condition, Thin-walled Struct., 154 (2020), 106813.
[28]	A. Uzzaman, J. B. P. Lim, D. Nash, K. Roy, Cold-formed steel channel sections under end-two-flange loading condition: Design for edge-stiffened holes, unstiffened holes and plain webs, Thin-walled Struct., 147 (2020), 106532.
[29]	B. Chen, K. Roy, A. Uzzaman, G. M. Raftery, J. B. P. Lim, Moment capacity of cold-formed channel beams with edge-stiffened web holes, un-stiffened web holes and plain webs, Thin-walled Struct., 157 (2020), 107070.
[30]	C. D. Moen, B. W. Schafer, Experiments on cold-formed steel columns with holes, Thin-walled Struct., 46 (2008), 1164-1182. doi: 10.1016/j.tws.2008.01.021
[31]	M. P. Kulatunga, M. Macdonald, Investigation of cold-formed steel structural members with perforations of different arrangements subjected to compression loading, Thin-walled Struct., 67 (2013), 78-87. doi: 10.1016/j.tws.2013.02.014
[32]	M. P. Kulatunga, M. Macdonald, Rhodes, J., D. K. Harrison, Load capacity of cold-formed column members of lipped channel cross-section with perforations subjected to compression loading-Part I: FE simulation and test results, Thin-walled Struct., 80 (2014), 1-12. doi: 10.1016/j.tws.2014.02.017
[33]	Y. Yao, Z. Wu, B. Cheng, J. Den, Experimental investigation into axial compressive behavior of cold-formed thin-walled steel columns with lipped channel and openings, J. South China Univ. Tech., 39 (2011), 61-67.
[34]	D. Zheng, S. Yu, Analysis of distortional buckling performance of cold-formed lipped-channel with perforations, Pro. Steel Build. Struct., 12 (2010), 32-37.
[35]	J. Zhou, S. Yu, Equiavalentcal calculation of buckling stress for cold-formed thin wall perforated channel columns, Indust. Const., 130 (2010), 27-31.
[36]	X. Yao, Y. Guo, Y. Liu, J. Su, Y. Hu, Analysis on distortional buckling of cold-formed thin-walled steel lipped channel steel members with web openings under axial compression, Indust. Const., 50 (2020), 170-177.
[37]	C. D. Moen, B. W. Schafer, Elastic buckling of cold-formed steel columns and beams with holes, Eng. Struct., 31 (2009), 2812-2824. doi: 10.1016/j.engstruct.2009.07.007
[38]	C. D. Moen, B. W. Schafer, Direct strength method for design of cold-formed steel columns with holes, J. Struct. Eng., 137 (2016), 559-570.
[39]	Z. Yao, K. J. R. Rasmussen, Perforated cold-formed steel members in compression. Ⅱ: Design, J. Struct. Eng., 143 (2017), 04016227.
[40]	B. Chen, K. Roy, A. Uzzaman, G. M. Raftery, D. Nash, G. C. Clifton, et al., Effects of edge-stiffened web openings on the behaviour of cold-formed steel channel sections under compression, Thin-walled Struct., 144 (2019), 106307.
[41]	B. Chen, K. Roy, A. Uzzaman, G. M. Raftery, J. B. P. Lim, Parametric study and simplified design equations for cold-formed steel channels with edge-stiffened holes under axial compression, J. Constru. Steel Res., 172 (2020), 106161.
[42]	General Administration of Quality Supervision, Inspection and Quarantine of the People's Republic of China, GB/T 228.1-2010, Test method for tensile test room temperature of metallic materials, China Standard Press, 2011.
[43]	ABAQUS. ABAQUS/Standard User's Manual Volumes Ⅰ-Ⅲ and ABAQUS CAE Manual, Dassault Systemes Simulia Corporation, 2014.
[44]	X. Yao, Buckling behavior and effective width method of perforated cold-formed steel slender columns under axial compression (Research report), Nanchang: Nanchang Institute of Technology, 2020.

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