Structural Engineering and Mechanics

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Effective buckling length of steel column members based on elastic/inelastic system buckling analyses

  • Kyung, Yong-Soo (Department of Civil and Environmental Engineering, Sungkyunkwan University) ;
  • Kim, Nam-Il (Department of Civil and Environmental Engineering, Myongji University) ;
  • Kim, Ho-Kyung (Department of Civil Engineering, Mokpo National University) ;
  • Kim, Moon-Young (Department of Civil and Environmental Engineering, Sungkyunkwan University)
  • Received : 2006.10.30
  • Accepted : 2007.02.20
  • Published : 2007.08.20
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Abstract

This study presents an improved method that uses the elastic and inelastic system buckling analyses for determining the K-factors of steel column members. The inelastic system buckling analysis is based on the tangent modulus theory for a single column and the application is extended to the frame structural system. The tangent modulus of an inelastic column is first derived as a function of nominal compressive stress from the column strength curve given in the design codes. The tangential stiffness matrix of a beam-column element is then formulated by using the so-called stability function or Hermitian interpolation functions. Two inelastic system buckling analysis procedures are newly proposed by utilizing nonlinear eigenvalue analysis algorithms. Finally, a practical method for determining the K-factors of individual members in a steel frame structure is proposed based on the inelastic and/or elastic system buckling analyses. The K-factors according to the proposed procedure are calculated for numerical examples and compared with other results in available references.

Keywords

References

  1. AASHTO (1998), Load and Resistance Factor Design Specifications for Highway Bridges, 2nd Ed., American Association of State Highway and Transportation Officials, Washington, DC
  2. ACI (2005), Building Requirements for Structural Concrete, American Concrete Institute, Farmington Hill, MI
  3. AISC (1999), Load and Resistance Factor Design Specification for Structural Steel Buildings, American Institute of Steel Construction, Chicago, Illinois
  4. AISC (2005), Specification for Structural Steel Buildings, American Institute of Steel Construction, Chicago, Illinois
  5. Bathe, K.J. (1996), Finite Element Procedures, Prentice-Hall. Inc., New York
  6. Bridge, R.Q. and Fraser, D. (1987), 'Improved G-factor method for evaluating effective lengths of columns', J. Struct. Eng., ASCE, 113(6), 1341-1356 https://doi.org/10.1061/(ASCE)0733-9445(1987)113:6(1341)
  7. Chen, W.F. and Lui, E.M. (1987), Structural Members and Frames, Elsevier Inc., New York
  8. DIN 18800 (1990), Part 2: 'Analysis of safety against buckling of linear members and frames', Beuth Verlag GmbH, Berlin
  9. Duan, L. and Chen, W.F. (1989), 'Effective length factors for columns in unbraced frames', J. Struct. Eng., ASCE, 115(1), 149-165 https://doi.org/10.1061/(ASCE)0733-9445(1989)115:1(149)
  10. Duan, L. and Chen, W.F. (1988), 'Effective length factors for columns in braced frames', J. Struct. Eng., ASCE, 114(10), 2357-2370 https://doi.org/10.1061/(ASCE)0733-9445(1988)114:10(2357)
  11. Essa, H.S. (1998), 'New stability equation for columns in unbraced frames', Struct. Eng. Mech., 6(4), 411-425 https://doi.org/10.12989/sem.1998.6.4.411
  12. Eurocode 3 (2002), Design of Steel Structures, Final Draft, CEN, Brussels, Belgium
  13. Galambos, T.V. (1968), Structural Members and Frames, Prentice-Hall. Inc., New York
  14. Galambos, T.V, (1998), Guide to Stability Design Criteria for Metal Structures, 5th Ed., John Wiley and Sons, New York
  15. Geschwindner, L.F. (2002), 'A practical look at frame analysis, stability and leaning columns', Eng. J., AISC, 31(4), 167-181
  16. Girgin, K., Ozmen, G. and Orakdogen, E. (2006), 'Buckling lengths of irregular frame columns', J. Constr. Steel Res., 62, 605-613 https://doi.org/10.1016/j.jcsr.2005.09.006
  17. Julian, O.G. and Lawrence, L.S. (1959), Notes on J and L Nomographs for Determination of Effective Lengths, Unpublished Report, Jackson and Moreland Engineers, Boston
  18. LeMessurier, W.J. (1977), 'A practical method of second-order analysis, 2: Rigid frames', Eng. J., AISC, 14(2), 49-67
  19. Liu, Y. and Xu, L. (2005), 'Storey-based stability analysis of multi-storey unbraced frames', Struct. Eng. Mech., 19(6), 679-705 https://doi.org/10.12989/sem.2005.19.6.679
  20. Mahini, M.R. and Seyyedian, H. (2006), 'Effective length factor for columns in braced frames considering axial forces on restraining members', Struct. Eng. Mech., 22(6), 685-700 https://doi.org/10.12989/sem.2006.22.6.685
  21. Ozmen, G. and Girgin, K. (2005), 'Buckling lengths of unbraced multi-storey frame columns', Struct. Eng. Mech., 19(1),55-71 https://doi.org/10.12989/sem.2005.19.1.055
  22. Roddis, W.M.K., Hamid, H.A. and Guo, C.Q. (1998), 'K factors for unbraced frames: Alignment chart accuracy for practical frame variations', Eng. J., AISC, 8(2), 81-93
  23. Shanmugam, N.E. and Chen, W.F. (1995), 'An assessment of K factor formula', Eng. J., AISC, 1st Qtr., 3-1
  24. Xu, L., Liu, Y. and Chen, I. (2001), 'Stability of unbraced frames under non-proportional loading', Struct. Eng. Mech., 11(1), 1-16 https://doi.org/10.12989/sem.2001.11.1.001
  25. White, D.W. and Hajjar, J.F. (1997), 'Buckling models and stability design of steel frames: A unified approach', J. Constr. Steel Res., 42(3), 171-207 https://doi.org/10.1016/S0143-974X(97)00014-X
  26. Yura, J.A. (1971), 'The effective length of columns in unbraced frames', Eng. J., AISC, 8(2), 37-42