Steel and Composite Structures

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Distortional buckling formulae for cold-formed steel rack-section members

  • Silvestre, N. (Department of Civil Engineering, IST, Technical University of Lisbon) ;
  • Camotim, D. (Department of Civil Engineering, IST, Technical University of Lisbon)
  • Received : 2003.09.16
  • Accepted : 2004.02.03
  • Published : 2004.02.25
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Abstract

The paper derives, validates and illustrates the application of GBT-based formulae to estimate distortional critical lengths and bifurcation stress resultants in cold-formed steel rack-section columns, beams and beam-columns with arbitrarily inclined mid-stiffeners and four support conditions. After a brief review of the Generalised Beam Theory (GBT) basics, the main concepts and procedures employed to obtain the formulae are addressed. Then, the GBT-based estimates are compared with exact results and, when possible, also with values yielded by formulae due to Lau and Hancock, Hancock and Teng et al. A few remarks on novel aspects of the rack-section beam-column distortional buckling behaviour, unveiled by the GBT-based approach, are also included.

Keywords

References

  1. Bambach, M., Merrick, J. and Hancock G.J. (1998), "Distortional buckling formulae for thin-walled channel and Z-sections with return lips", Proc. of 14th Int. Specialty Conf. on Cold-Formed Steel Structures, St. Louis, October 15-16, 21-37.
  2. Bradford, M. and Azhari, M. (1995), "Buckling of plates with different end conditions using the finite strip method", Comput. Struct., 56(1), 75-83. https://doi.org/10.1016/0045-7949(94)00528-B
  3. Davies, J.M., Leach, P. and Heinz, D. (1994), "Second-order generalised beam theory", J. Constructional Steel Research, 31(2-3), 221-241. https://doi.org/10.1016/0143-974X(94)90011-6
  4. Davies, J.M. and Jiang, C. (1998), "Design for distortional buckling", J. Constructional Steel Research, 46(1-3), 174. (CD-ROM paper #104) https://doi.org/10.1016/S0143-974X(98)00107-2
  5. Hancock, G.J. (1985), "Distortional buckling of steel storage rack columns", J. Struct. Eng. (ASCE), 111(12), 2770-2783. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:12(2770)
  6. Hancock, G.J. (1997), "Design for distortional buckling of flexural members", Thin-Walled Structures, 27(1), 3-12. https://doi.org/10.1016/0263-8231(96)00020-1
  7. Lau, S. and Hancock, G.J. (1987), "Distortional buckling formulae for channel columns", J. Struct. Eng. (ASCE), 113(5), 1063-1078. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:5(1063)
  8. Lau, S. (1988), "Distortional buckling of thin-walled columns", Ph.D. Thesis, School of Civil and Mining Engineering, University of Sydney.
  9. Schafer, B. (1997), "Cold-formed steel behavior and design: analytical and numerical modelling of elements and members with longitudinal stiffeners", Ph.D. Thesis, Cornell University.
  10. Schardt, R. (1989), Verallgemeinerte Technische Biegetheorie, Springer Verlag, Berlin. (German)
  11. Schardt, R. (1994a), "Generalized beam theory - an adequate method for coupled stability problems", Thin- Walled Structures, 19(2-4), 161-180. https://doi.org/10.1016/0263-8231(94)90027-2
  12. Schardt, R. (1994b), "Lateral torsional and distortional buckling of channel and hat-sections", J. Constructional Steel Research, 31(2-3), 243-265. https://doi.org/10.1016/0143-974X(94)90012-4
  13. Silvestre, N., Nagahama, K., Camotim, D. and Batista, E. (2002), "GBT-based distortional buckling formulae for thin-walled rack-section columns and beams", Advances in Steel Structures (ICASS'02), Chan, S.L., Teng, J.G. and Chung, K.F. (eds.), Elsevier, Hong Kong, December 9-11, 341-350 (vol. 1).
  14. Silvestre, N. and Camotim, D. (2002a), "First order generalised beam theory for arbitrary orthotropic materials", Thin-Walled Structures, 40(9), 755-789. https://doi.org/10.1016/S0263-8231(02)00025-3
  15. Silvestre, N. and Camotim, D. (2002b), "Second order generalised beam theory for arbitrary orthotropic materials", Thin-Walled Structures, 40(9), 791-820. https://doi.org/10.1016/S0263-8231(02)00026-5
  16. Silvestre, N. and Camotim, D. (2003). "Distortional buckling formulae for cold-formed steel C and Z-section members", submitted for publication.
  17. Standards Association of Australia (1996), The Australian/New Zealand Cold-Formed Steel Structures Standard, AS/NZS 4600.
  18. Teng, J.G., Yao, J. and Zhao, Y. (2003), "Distortional buckling of channel beam-columns", Thin-Walled Structures, 41(7), 595-617. https://doi.org/10.1016/S0263-8231(03)00007-7
  19. Van der Maas, C.J. (1954), "Charts for the calculation of the critical compressive stress for local instability of columns with hat sections", J. the Aeronautical Sciences, 21(6), 399-403. https://doi.org/10.2514/8.3049
  20. Waterloo Maple Software (2001). MAPLE V (release 7), University of Waterloo, Canada.

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