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Inclined yield lines in flange outstands

  • Bambach, M.R. (Department of Civil Engineering, Monash University)
  • Received : 2006.11.27
  • Accepted : 2008.05.23
  • Published : 2008.08.20

Abstract

While spatial plastic mechanism analysis has been widely and successfully applied to thinwalled steel structures to analyse the post-failure behaviour of sections and connections, there remains some contention in the literature as to the basic capacity of an inclined yield line. The simple inclined hinge commonly forms as part of the more complex spatial mechanism, which may involve a number of hinges perpendicular or inclined to the direction of thrust. In this paper some of the existing theories are compared with single inclined yield lines that form in flange outstands, by comparing the theories with plate tests of plates simply supported on three sides with the remaining (longitudinal) edge free. The existing mechanism theories do not account for different in-plane displacement gradients of the loaded edge, nor the slenderness of the plates, and produce conservative results. A modified theory is presented whereby uniform and non-uniform in-plane displacements of the loaded edge of the flange, and the slenderness of the flange, are accounted for. The modified theory is shown to compare well with the plate test data, and its application to flanges that are components of sections in compression and/or bending is presented.

Keywords

References

  1. Bakker, M.C. (1990), "Yield line analysis of post-collapse behaviour of thin-walled steel members", Heron, 35(3), 1-50
  2. Bambach, M.R. and Rasmussen, K.J.R. (2004a), "Tests of unstiffened plate elements under combined bending and compression", J. Struct. Eng., Am. Soc. Eng., 130(10), 1602-1610 https://doi.org/10.1061/(ASCE)0733-9445(2004)130:10(1602)
  3. Bambach, M.R. and Rasmussen, K.J.R. (2004b), "Effects of anchoring tensile stresses in axially loaded plates and sections", Thin Wall. Struct., 42(10), 1465-1479 https://doi.org/10.1016/j.tws.2004.04.001
  4. Bambach, M.R. and Rasmussen, K.J.R. (2004c), "Effective widths of unstiffened elements with stress gradients", J. Struct. Eng., Am. Soc. Eng., 130(10), 1611-1619 https://doi.org/10.1061/(ASCE)0733-9445(2004)130:10(1611)
  5. Bambach, M.R. (2006a), "Inclined yield lines in flange outstands", Research Report No. RR2, Dept. of Civil Engineering, Monash University, Australia, November 2006. Available at http://civil.eng.monash.edu.au/about/staff/mbambachpersonal
  6. Bambach, M.R. (2006b), "Local buckling and post-local buckling redistribution of stress in slender plates and sections", Thin Wall. Struct., 44(10), 1118-1128 https://doi.org/10.1016/j.tws.2006.10.005
  7. Cao, J.J., Packer, J.A. and Yang, G.J. (1998), "Yield line analysis of RHS connections with axial loads", J. Constr. Steel Res., 48(1), 1-25 https://doi.org/10.1016/S0143-974X(98)90143-2
  8. Davies, P., Kemp, K.O. and Walker, A.C. (1975), "An analysis of the failure mechanism of an axially loaded simply supported steel plates", Proc. Ins. Civil Eng., 59(2), 645-658
  9. Hiriyur, B.K.J. and Schafer, B.W. (2005), "Yield-line analysis of cold-formed steel members", Steel Struct., 5, 43-54
  10. Key, P.W. and Hancock, G.J. (1986), "Plastic collapse mechanisms for cold-formed square hollow section Columns", Proc. 10th Australasian Conf. on the Mechanics of Structures and Materials, Adelaide, 217-222
  11. Khoo, P.S. (1979), "Plastic local buckling of thin-walled structures", PhD Thesis. Monash University
  12. Mahendran, M. and Murray, N.W. (1991), "Effect of initial imperfections on local plastic mechanisms in thin steel plates under in-plane compression", Int. Conf. on Steel and Aluminium Structures, Singapore
  13. Mahendran, M. (1997), "Local plastic mechanisms in thin steel plates under in-plane compression", Thin Wall. Struct., 27(3), 245-261 https://doi.org/10.1016/S0263-8231(96)00040-7
  14. Mouty, J. (1976), "Calus des charges ultimes des assemblages soudes de profiles creux carres et rectangularies", Constr. Mettlique., 2, 37-58
  15. Murray, N.W. and Khoo, P.S. (1981), "Some basic plastic mechanisms in the local buckling of thin-walled steel structures", Int. J. Mech. Sci., 23(12), 703-713 https://doi.org/10.1016/0020-7403(81)90008-4
  16. Murray, N.W. (1984), "Introduction to the theory of thin-walled structures", Oxford: Clarendon Press
  17. Murray, N.W. (1973), "Das aufnehmbare Moment in einem zur Richtung der Normalkraft schrag liegenden plasttischen Gelenk", Die Bautechnik, 50(2), 57-58
  18. Rasmussen, K.J.R. and Hancock, G.J. (1992), "Nonlinear analyses of thin-walled channel section columns", Thin Wall. Struct., 13(1-2), 145-176 https://doi.org/10.1016/0263-8231(92)90006-I
  19. Rhodes, J. (2002), "Buckling of thin plates and members-and early work on rectangular tubes", Thin Wall. Struct., 40(2), 87-108 https://doi.org/10.1016/S0263-8231(01)00054-4
  20. Zhao, X.L. (2003), "Yield line mechanism analysis of steel members and connections", Prog. Struct. Eng. Mater., 5, 252-262 https://doi.org/10.1002/pse.161
  21. Zhao, X.L. and Hancock, G.J. (1993a), "A theoretical analysis of the plastic-moment capacity of an inclined yield line under axial force", Thin Wall. Struct., 15(3), 185-207 https://doi.org/10.1016/0263-8231(93)90026-7
  22. Zhao, X.L. and Hancock, G.J. (1993b), "Experimental verification of the theory of plastic moment capacity of an inclined yield line under axial load", Thin Wall. Struct., 15(3), 209-233 https://doi.org/10.1016/0263-8231(93)90027-8

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