Skip to main content
Log in

Distortional buckling of a CFS channel section with and without stiffened flanges

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

Cold-formed steel (CFS) sections are commonly applied to modern engineering structures, such as roof truss, purlin and industrial goods rack. This study proposes an analytical model to investigate the distortional buckling behavior of CFS-lipped channel sections considering two load scenarios (i.e., axial compression and pure bending). The formulae and analytical solution for calculating the distortional buckling critical stress of CFS channel sections are derived on the basis of the total potential energy principle. The proposed model is extended to the channel section columns and beams with a stiffened flange. CUFSM and generalized beam theory (GBT) are used to conduct numerous channel section columns and beams to validate the proposed method. Results obtained from the proposed model are compared with those calculated using GBT and/or finite-strip code CUFSM. These numerical results are consistent with the model calculations for channel section with and without stiffeners.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. J. Hancock, Distortional buckling of steel storage rack columns, Journal of Structural Engineering, 111 (12) (1985) 2770–2783.

    Article  Google Scholar 

  2. S. C. W. Lau and G. J. Hancock, Distortional buckling formulas for channel columns, Journal of Structural Engineering, 113 (5) (1987) 1063–1078.

    Article  Google Scholar 

  3. G. J. Hancock, Design for distortional buckling of flexural members, Thin-Walled Structures, 27 (1) (1997) 3–12.

    Article  Google Scholar 

  4. B. W. Schafer and T. Pekoz, Laterally braced cold-formed steel flexural members with edge stiffened flanges, Journal of Structural Engineering, 125 (2) (1998) 118–127.

    Article  Google Scholar 

  5. L. Y. Li and J. K. Chen, An analytical model for analysing distortional buckling of cold-formed steel sections, Thin-Walled Structures, 46 (12) (2008) 1430–1436.

    Article  Google Scholar 

  6. G. Tong, Y. Feng and L. Zhang, A unified analysis for distortional and lateral buckling of C-purlins in flexure, Thin-Walled Structures, 95 (2015) 244–254.

    Article  Google Scholar 

  7. X. H. Zhou, Z. K. Liu and Z. Q. He, General distortional buckling formulae for both fixed-ended and pinned-ended C-section columns, Thin-Walled Structures, 94 (2015) 603–611.

    Article  Google Scholar 

  8. S. S. Ajeesh and S. A. Jayachandran, Simplified semi-analytical model for elastic distortional buckling prediction of cold-formed steel flexural members, Thin-Walled Structures, 106 (2016) 420–427.

    Article  Google Scholar 

  9. J. Zhu and L. Y. Li, A stiffened plate buckling model for calculating critical stress of distortional buckling of CFS beams, International Journal of Mechanical Sciences, 115–116 (2016) 457–464.

    Article  Google Scholar 

  10. X. H. Huang and J. Zhu, A stiffened-plate buckling model for calculating critical stress of distortional buckling of CFS columns, International Journal of Mechanical Sciences, 119 (2016) 237–242.

    Article  Google Scholar 

  11. W. B. Yuan, S. Cheng, L. Y. Li and B. Kim, Web-flange distortional buckling of partially restrained cold-formed steel purlins under uplift loading, International Journal of Mechanical Sciences, 89 (2014) 476–481.

    Article  Google Scholar 

  12. W. B. Yuan, N. T. Yu and L. Y. Li, Distortional buckling of perforated cold-formed steel channel-section beams with circular holes in web, International Journal of Mechanical Sciences, 126 (2017) 255–260.

    Article  Google Scholar 

  13. N. T. Yu, B. Kim, W. B. Yuan, L. Y. Li and F. Yu, An analytical solution of distortional buckling resistance of cold-formed steel channel-section beams with web openings, Thin-Walled Structures, 135 (2019) 446–452.

    Article  Google Scholar 

  14. C. Ren, X. Zhao and Y. Chen, Buckling behaviour of partially restrained cold-formed steel zed purlins subjected to transverse distributed uplift loading, Engineering Structures, 144 (2016) 14–24.

    Article  Google Scholar 

  15. J. Zhu, S. G. Qian and L. Y. Li, Dynamic instability of laterally-restrained zed-purlin beams under uplift loading, International Journal of Mechanical Sciences, 131–132 (2017) 408–413.

    Article  Google Scholar 

  16. J. Zhu, S. G. Qian and L. Y. Li, Dynamic instability of channel-section beams under periodic loading, Mechanics of Advanced Materials and Structures (2018) 1–10.

    Google Scholar 

  17. L. Y. Li, Analyses of distortional buckling of cold-formed sigma purlins using EN1993-1-3, Journal of Constructional Steel Research, 65 (2009) 2099–2102.

    Article  Google Scholar 

  18. J. Zhu and L. Y. Li, Effect of shear stress on distortional buckling of CFS beams subjected to uniformly distributed transverse loading, Mechanics of Advanced Materials and Structures (2018) 1–7.

    Google Scholar 

  19. V. Z. Vlasov, Thin-walled elastic beams Jerusalem, Israel, Israel Program for Scientific Translations, Jerusalem, Israel (1961).

    Google Scholar 

  20. J. T. Oden, E. A. Ripperger and H. Saunders, Mechanics of elastic Structures, McGraw-Hill Book Company, New York (1967).

    Google Scholar 

  21. W. A. M. Alwis and C. M. Wang, Wagner term in flexural-torsional buckling of thin-walled open-profile columns, Engineering Structures, 18 (2) (1996) 125–132.

    Article  Google Scholar 

  22. G. J. Hancock, Design for distortional buckling of flexural members, Thin-Walled Structures, 27 (1) (1997) 3–12.

    Article  Google Scholar 

  23. O. F. Hughes and M. Ma, Elastic tripping analysis of asymmetrical stiffeners, Computers & Structures, 60 (3) (1996) 369–389.

    Article  MATH  Google Scholar 

  24. S. P. Timoshenko, Theory of Elastic Stability, McGraw-Hill Book Co (1936).

    Google Scholar 

  25. B. W. Schafer, CUFSM4.05- Finite Strip Buckling Analysis of Thin-walled Members, Department of Civil Engineering, Johns Hopkins University (http://www.ce.jhu.edu/bschafer/cufsm/) (2012).

    Google Scholar 

  26. X. Huang, J. Yang, Q. Liu, J. Zhu, L. Bai, F. Wang and J. Wang, A simplified flange-lip model for distortional buckling of cold-formed steel channel-sections with stiffened web, International Journal of Mechanical Sciences, 136 (2018) 451–459.

    Article  Google Scholar 

  27. L. Bai, F.L. Wang, M. Wadee and J. Yang, Nonlinear mode interaction in equal-leg angle struts susceptible to cellular buckling, Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences, 473 (2207) (2017) 20170583.

    Article  MathSciNet  MATH  Google Scholar 

  28. L. Bai, J. Yang and M. A. Wadee, Cellular buckling from nonlinear mode interaction in unequal-leg angle struts, Thin-Walled Structures, 132 (2018) 316–331.

    Article  Google Scholar 

  29. R. Bebiano, P. Pina, N. Silvestre and D. Camotim, GBTUL-Buckling and Vibration Analysis of Thin-walled Members.DECivil/IST, Technical University of Lisbon, Lisbon (http://www.civil.ist.utl.pt/gbt) (2008).

    Google Scholar 

  30. C. Wijaya and B. Kim, FE analysis of unstiffened and stiffened corrugated panels subjected to blast loading, Journal of Mechanical Science and Technology, 25 (12) (2011) 3159–3164.

    Article  Google Scholar 

  31. Z. Chen, R. Wang, L. Chen and C. Dong, Strongly nonlinear free vibration of four edges simply supported stiffened plates with geometric imperfections, Journal of Mechanical Science and Technology, 30 (8) (2016) 3469–3476.

    Article  Google Scholar 

  32. M. Kilardj, G. Ikhenazen, T. Messager and T. Kanit, Linear and nonlinear buckling analysis of a locally stretched plate, Journal of Mechanical Science and Technology, 30 (8) (2016) 3607–3613.

    Article  Google Scholar 

  33. R. Kolahchi, M. R. Bidgoli, G. Beygipoor and M. H. Fakhar, A nonlocal nonlinear analysis for buckling in embedded FG-SWCNT-reinforced microplates subjected to magnetic field, Journal of Mechanical Science and Technology, 29 (9) (2015) 3669–3677.

    Article  Google Scholar 

  34. M. E. Golmakani, M. N. Sadraee Far and M. Moravej, Dynamic relaxation method for nonlinear buckling analysis of moderately thick FG cylindrical panels with various boundary conditions, Journal of Mechanical Science and Technology, 30 (12) (2016) 5565–5575.

    Article  Google Scholar 

  35. Y. B. Kwon and H. S. Park, Compression tests of longitudinally stiffened plates undergoing distortional buckling, Journal of Constructional Steel Research, 67 (2011) 1212–1224.

    Article  Google Scholar 

  36. R. R. Ahmad, Flexural-torsional buckling analysis of angle-bar stiffened plates, Journal of Mechanical Science and Technology, 29 (2015) 3771–3778.

    Article  Google Scholar 

  37. A. Landesmann, D. Camotim and R. Garcia, On the strength and DSM design of cold-formed steel web/flange-stiffened lipped channel columns buckling and failing in distortional modes, Thin-Walled Structures, 105 (2016) 248–265.

    Article  Google Scholar 

  38. A. D. Martins, P. B. Dinis and D. Camotim, On the influence of local-distortional interaction in the behaviour and design of cold-formed steel web-stiffened lipped channel columns, Thin-Walled Structures, 101 (2016) 181–204.

    Article  Google Scholar 

  39. A. D. Martins, D. Camotim and P. B. Dinis, Behaviour and DSM design of stiffened lipped channel columns undergoing local-distortional interaction, Journal of Constructional Steel Research, 128 (2017) 99–118.

    Article  Google Scholar 

Download references

Acknowledgments

The authors acknowledge the financial support received from the National Natural Science Foundation of China (No. 11572162), the 47th Scientific Research Foundation for Returned Scholars from the Ministry of Education of China, Natural Science Foundation of Zhejiang Province (No. LY13A020007), Ningbo Rail Transit (JS-00-SG-17003) and K.C. Wong Magna Fund at Ningbo University.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jue Zhu.

Additional information

Recommended by Editor Chongdu Cho

Meng-jing Wu is currently a master’s student at Ningbo University. She received her Bachelor’s degree from Ningbo University, China, in 2016. Her main research interests include the static and dynamic instability of thin-walled structures.

Xu-hao Huang is currently a Ph.D. candidate in Shanghai Jiao Tong University. He received his bachelor’s and master’s degrees from Shenzhen University and Ningbo University, China, in 2013 and 2016, respectively. His main research interests include the stability of cold-formed steel structures.

Jue Zhu is currently a Professor at Ningbo University. She received her bachelor’s and master’s degrees from Ningbo University, China, in 2000 and 2003, correspondingly. She received her Ph.D. degree from the University of Science and Technology of China in 2006. Her main research interests include static and dynamic stability, design optimization and analytical modeling of steel structures, and durability of concrete materials.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wu, MJ., Huang, Xh. & Zhu, J. Distortional buckling of a CFS channel section with and without stiffened flanges. J Mech Sci Technol 33, 2623–2632 (2019). https://doi.org/10.1007/s12206-019-0510-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-019-0510-z

Keywords

Navigation