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Finite Strip Buckling and Nonlinear Analyses and Distortional Buckling Analysis of Thin-Walled Structural Members

  • G. J. Hancock
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 379)

Abstract

In Chapter 1, the semi-analytical finite strip method of structural analysis is described for the buckling of thin-walled structural members in the local, distortional and overall (flexural and flexural-torsional) modes of structural instability. The secondary modes of deformation associated with postbuckling behaviour are developed for non-linear analysis in the elastic and plastic ranges of structural behaviour. A non-linear elastic analysis which accounts for the non-linear interaction between local and overall instability of thin-walled beam-columns is explained in Chapter 2. The method is compared with the results of tests of thin-walled aluminium I-sections and the perturbation theory.

Tests of welded I- and channel sections, and cold-formed square hollow section tubular columns which were performed at the University of Sydney are compared in Chapters 3 and 4 with the analyses described in Chapters 1 and 2. Spatial plastic mechanism models for I- and channel sections are presented in Chapter 3, and used in conjunction with the finite strip analyses to predict the ultimate loads of the sections. A simplified interaction analysis for tubular sections undergoing inelastic local instability during overall deformation is presented and compared in Chapter 4 with the results of tubular column tests.

Distortional buckling of thin-walled sections in compression and bending is described in Chapter 5. Design curves for distortional buckling of sections in both compression and bending are compared with test results of thin-walled sections performed at the University of Sydney. The interaction of local and distortional buckling is discussed. In Chapter 6, equations are given for the computation of the elastic distortional buckling stress of thin-walled channel and Z-sections in compression and bending. The interaction of distortional buckling of the flange with local instability of the web is discussed.

Keywords

Ultimate Load Local Buckling Geometric Imperfection Hollow Section Finite Strip 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Cheung, Y.K: Finite Strip Method in Structural Analysis, Pergamon Press, New York 1976.MATHGoogle Scholar
  2. 2.
    Przemieniecki, J.S.: Finite element structural analysis of local instability, J. Amer. Inst. Aeronautics and Astronautics, 11 (2) (1974), 33–39.Google Scholar
  3. 3.
    Plank, R.J. and W.H. Wittrick: Buckling under combined loading of thin flat-walled structures by a complex finite strip method, Int. J. Numer. Methods Engng, 8 (2) (1974), 323–39.CrossRefMATHGoogle Scholar
  4. 4.
    Hancock, G.J.: Local distortional and lateral buckling of I-beams, J. Struct. Div. (ASCE), 104 (ST11) (1978), 1787–98.Google Scholar
  5. 5.
    Hancock, G.J.: Distortional buckling of steel storage rack columns, J. Struct. Engng. (ASCE), 111 (12) (1985), 2270–83.Google Scholar
  6. 6.
    Mahendran, M. and N.W. Murray: Elastic buckling analysis of ideal thin-walled structures under combined loading using a finite strip method, Thin-Walled Structures, 4 (5) (1986), 329–62.CrossRefGoogle Scholar
  7. 7.
    Graves Smith, T.R and S. Sridharan: A finite strip method for the post-locally buckled analysis of plate structures, Int. J. of Mech. Sc., 20 (12) (1978), 833–842.CrossRefGoogle Scholar
  8. 8.
    Hancock, G.J: Nonlinear analysis of thin sections in compression, J. Struct. Div. (ASCE), 107 (ST3) (1981), 455–471.Google Scholar
  9. 9.
    Hancock, G.J.: Interaction buckling in I-section columns, J. Struct. Div. (ASCE), 107 (ST1) (1981), 165–79.MathSciNetGoogle Scholar
  10. 10.
    Bradford, M.A. and G.J. Hancock: Elastic interaction of local and lateral buckling in beams, Thin-Walled Structures, 2 (1) (1984), 1–25.CrossRefGoogle Scholar
  11. 11.
    Hancock, G.J.: Nonlinear analysis of thin-walled I-sections in bending, in Aspects of the Analysis of Plate Structures, Oxford University Press, (1985) 251–268.Google Scholar
  12. 12.
    Chen, W.F. and T. Atsuta: Theory of beam-columns, 2. in Space Behaviour and Design, McGraw-Hill, New York 1977.Google Scholar
  13. 13.
    Han, D.J. and W.F. Chen: Buckling and cyclic inelastic analysis of steel tubular beam-columns, Engineering Structures, 5 (1983), 119–32.CrossRefGoogle Scholar
  14. 14.
    Davids, A.J. and G.J. Hancock: Nonlinear elastic response of locally buckled thin-walled beam-columns, Thin-Walled Structures, 5 (3) (1987), 211–226.CrossRefGoogle Scholar
  15. 15.
    Mendelson, A.: Plasticity: Theory and Application, Macmillan, New York 1968.Google Scholar
  16. 16.
    Mofflin, D.S.: Plate Buckling in Steel and Aluminium, PhD Thesis, University of Cambridge 1983.Google Scholar
  17. 17.
    Key, P.W. and G.J. Hancock: A finite strip method for the elastic-plastic large displacement analysis of thin-walled and cold-formed steel sections, Thin-Walled Structures, 16 (1993), 3–29.CrossRefGoogle Scholar
  18. 18.
    Sridharan, S. and T. R. Graves Smith: Postbuckling analyses with finite strips, J Engng Mech Div (ASCE), 107 (EM5) (1981), 869–88.Google Scholar
  19. 19.
    Pagangelis, J.P. and G.J. Hancock: Computer analysis of thin-walled structural members, Computers and Structures, 26 (1) (1995), 157–176.CrossRefGoogle Scholar
  20. 20.
    Novozhilov, V. Foundations of the Nonlinear Theory of Elasticity, Graylock Press, Rochester, New York 1953.Google Scholar
  21. 21.
    Timoshenko, S.P. and S. Woinowsky-Krieger: Theory of Plates and Shells, McGraw-Hill, New York 1959.Google Scholar
  22. 22.
    Key, P.W. and G.J Hancock: A Finite Strip Method for the Elastic-Plastic Large Displacement Analysis of Thin-Walled and Cold-Formed Steel Sections, School of Civil and Mining Engineering, University of Sydney, Research Report, 583 1988.Google Scholar
  23. 23.
    Davids, A.J. and G.J. Hancock: Compression tests of short welded I-sections, J. Struct. Engng. (ASCE), 112 (ST5) (1986), 960–76.CrossRefGoogle Scholar
  24. 24.
    Davids, A.J. and G. J. Hancock: Nonlinear Response of Locally Buckled Thin-Walled Beam-Columns, School of Civil and Mining Engineering, University of Sydney, Research Report R531 1986.Google Scholar
  25. 25.
    Bijlaard, P.P. and G.P. Fisher: Column Strength of H-Sections and Square Tubes in Postbuckling Range of Component Plates, TN 2994, NACA, Washington 1953.Google Scholar
  26. 26.
    Sridharan, S. and M.A. Ali: Response of frames having thin-walled columns, Proceedings, Seventh International Specialty Conference on Cold-Formed Steel Structures, St Louis, (1984), 145–166.Google Scholar
  27. 27.
    Murray, N.W.: Buckling of stiffened panels loaded axially and in bending, Struct. Engng., 51 (8) (1973), 285–301.Google Scholar
  28. 28.
    Murray, N.W. and P.S. Khoo: Some basic plastic mechanisms in the local buckling of thin-walled steel structures, Int. J. Mech. Sci., 23 (12) (1981).Google Scholar
  29. 29.
    Murray, N.W.: Introduction to the Theory of Thin-Walled Structures, Oxford University Press, Oxford, 1984.Google Scholar
  30. 30.
    Rasmussen, K.J.R.: The Behaviour of Thin-Walled Channel Section Columns, PhD Thesis, University of Sydney 1988.Google Scholar
  31. 31.
    Rasmussen, K.J.R. and G.J. Hancock: Nonlinear analyses of thin-walled channel section columns, Thin-Walled Structures, 13 (1991), 145–176.CrossRefGoogle Scholar
  32. 32.
    Davids, A.J.: The Behaviour of Thin-Walled I-Section Columns, PhD Thesis, University of Sydney 1987.Google Scholar
  33. 33.
    Davids, A.J. and G.J. Hancock: The behaviour of thin-walled I-section columns, Proceedings, International Conference on Steel and Aluminium Structures, ICSAS 91, Singapore, (1991), 382–395.Google Scholar
  34. 34.
    Rasmussen, K.J.R. and G.J. Hancock: Nonlinear Analyses of Thin-Walled Channel Section Columns, School of Civil and Mining Engineering, University of Sydney, Research Report R601 1990.Google Scholar
  35. 35.
    Rasmussen, K.J.R. and G.J. Hancock: Compression tests of welded channel section columns, J. Struct Engng. (ASCE), 115 (4) (1989), 789–808.CrossRefGoogle Scholar
  36. 36.
    Rasmussen, K.J.R. and G.J. Hancock: Geometric imperfections in plated structures subject to interaction between buckling modes, Thin-Walled Structures, 6 (6), (1988), 433–52.CrossRefGoogle Scholar
  37. 37.
    Rasmussen, K.J.R. and G.J. Hancock: Deformations and residual stresses induced in channel section columns by presetting and welding, J. Constr. Steel Research, 11 (3), (1988), 175–204.CrossRefGoogle Scholar
  38. 38.
    Davids, A.J. and G.J. Hancock: Compression tests of long welded I-section columns, J. Struct. Engng. (ASCE), 112 (10) (1986), 2281–2297.CrossRefGoogle Scholar
  39. 39.
    Key, P.W. and G.J. Hancock: An Experimental Investigation of the Column Behaviour of Cold Formed Square Hollow Sections, School of Civil and Mining Engineering, University of Sydney, Research Report R493 1985.Google Scholar
  40. 40.
    Key, P.W., S.W. Hasan and G.J. Hancock: Column behaviour of cold-formed hollow sections, J. Struct. Engng (ASCE), 114 (2) (1988), 390–407.CrossRefGoogle Scholar
  41. 41.
    Sully, R.M.: The Behaviour of Cold-Formed Square Hollow Section Beam-Columns, PhD Thesis, University of Sydney 1996.Google Scholar
  42. 42.
    Sully, R.M. and G.J. Hancock: Behaviour of Cold-Formed SHS Beam-Columns, School of Civil and Mining Engineering, University of Sydney, Research Report R696 1994.Google Scholar
  43. 43.
    Sully, R.M. and G.J. Hancock: Behaviour of cold-formed SHS beam-columns, J. Struct. Engng (ASCE), 122 (3) (1996), 326–336.CrossRefGoogle Scholar
  44. 44.
    Sully, R.M. and G.J. Hancock: Behaviour of Cold-Formed Slender SHS Beam-Columns, School of Civil and Mining Engineering, University of Sydney, Research Report R707 1995.Google Scholar
  45. 45.
    Key, P.W. and G.J. Hancock: A theoretical investigation of the column behaviour of cold-formed square hollow sections, Thin-Walled Structures, 16 (1993), 31–64.CrossRefGoogle Scholar
  46. 46.
    Scaramangas, A.: Residual Stresses in Girt Butt Welded Pipes Experimental Techniques, Report CUED/D-STRUCT/TR108, Cambridge University 1984.Google Scholar
  47. 47.
    Key, P.W.: The Column Behaviour of Cold-Formed Square Hollow Sections, PhD Thesis, University of Sydney 1988.Google Scholar
  48. 48.
    Ramberg, W. and W.R. Osgood: Description of Stress-Strain Curves by Three Parameters, Technical Note 902, National Advisory Committee for Aeronautics, USA 1943.Google Scholar
  49. 49.
    Miki, T., T. Kitada and H. Nakai: A study on interactive strength between local and overall buckling of box column members in steel frames composed of thin plates, Proceedings of International Colloquium, Stability of Plate and Shell Structures, Belgium, (1987), (pp not known).Google Scholar
  50. 50.
    Lau, S.C.W. and G.J. Hancock: Distortional buckling tests of cold-formed channel sections, Ninth International Specialty Conference on Cold-Formed Steel Structures, St Louis, Missouri, (1988), 45–73.Google Scholar
  51. 51.
    Lau, S.C.W. and G.J. Hancock: Strength Tests and Design Methods for Cold-Formed Channel Columns Undergoing Distortional Buckling, Research Report No R579, School of Civil and Mining Engineering, University of Sydney, (1988).Google Scholar
  52. 52.
    Lau, S.C.W. and G.J. Hancock: Inelastic buckling of channel columns in the distortional mode, Thin-Walled Structures, 10 (1990), 59–84.CrossRefGoogle Scholar
  53. 53.
    Johnston, B.G.: Guide to Stability Design Criteria for Metal Structures, 3rd Edn, John Wiley and Sons, New York 1976.Google Scholar
  54. 54.
    Lau, S.C.W. and G.J. Hancock: Distortional buckling formulas for channel columns, Journal of Structural Engineering, ASCE, 113 (5) (1987), 1063–1078.CrossRefGoogle Scholar
  55. 55.
    Hancock, G.J.: Design for distortional buckling of flexural members, Thin-Walled Structures, (accepted for publication 1996 ).Google Scholar
  56. 56.
    Desmond, T.P., T. Peköz and G. Winter: Edge stiffeners for thin-walled members, Journal of Structural Engineering, ASCE, 107 (2) (1981), 329–353.Google Scholar
  57. 57.
    Desmond, T.P., T. Peköz, and G. Winter: Intermediate stiffeners for thin-walled members, Journal of Structural Engineering, ASCE, 107 (4) (1981), 627–648.Google Scholar
  58. 58.
    Specification for the Design of Cold-formed Steel Structural Members, American Iron and Steel Institute, Washington 1986.Google Scholar
  59. 59.
    Eurocode 3–Design of Steel Structures, CEN ENV 1993 1–3 1996.Google Scholar
  60. 60.
    Bernard, E.S., R.Q. Bridge, and G.J. Hancock: Design methods for profiled steel decks with intermediate stiffeners, Journal of Constructional Steel Research 38 (1) (1996), 61–88.CrossRefGoogle Scholar
  61. 61.
    Bernard, E.S., R.Q. Bridge, and G.J. Hancock: Tests on profiled steel decks with V-stiffeners, Journal of Structural Engineering, ASCE, 119 (8) (1993), 2277–2293.CrossRefGoogle Scholar
  62. 62.
    Bernard, E.S., R.Q. Bridge, and G.J. Hancock: Tests of profiled steel decks with flat hat stiffeners, Journal of Structural Engineering, ASCE, 121 (8) (1992), 17–43.Google Scholar
  63. 63.
    Lau, S.C.W. and G.J. Hancock: Buckling of thin flat-walled structures by a spline finite strip method, Thin-Walled Structures, 4 (4) (1986), 269–294.CrossRefGoogle Scholar
  64. 64.
    Kwon, Y.B. and G.J. Hancock: Strength tests of cold-formed channel sections undergoing local and distortional buckling, Journal of Structural Engineering, ASCE, 117 (2) (1992), 1786–1803.CrossRefGoogle Scholar
  65. 65.
    Hancock, G.J. Y.B. Kwon and E.S. Bernard: Strength design curves for thin-walled sections undergoing distortional buckling, J. Construct. Steel Research, 31 (1994), 169–186.CrossRefGoogle Scholar
  66. 66.
    Chajes, A., P.J. Fang and G. Winter: Torsional Flexural Buckling, Elastic and Inelastic, of Cold Formed Thin Walled Columns, Research Bulletin No 66–1, School of Civil and Mining Engineering, Cornell University, Ithaca, New York 1966.Google Scholar
  67. 67.
    Standards Australia/Standards New Zealand: Cold-Formed Steel Structures (Revision of AS 1538–1988), Postal Ballot Draft Australian Standard DR 95246, June 1996.Google Scholar
  68. 68.
    Winter, G. Thin-walled structures–theoretical solutions and test results, Eighth Congress, IABSE, (1968), 101–112.Google Scholar
  69. 69.
    Timoshenko, S.P. and J.M. Gere: Theory of Elastic Stability, second edition, McGraw-Hill, New York 1961.Google Scholar

Copyright information

© Springer-Verlag Wien 1998

Authors and Affiliations

  • G. J. Hancock
    • 1
  1. 1.University of SydneySydneyAustralia

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