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Modeling and prediction of buckling behavior of compression members with variability in material and/or section properties

  • Gadalla, M.A. (American University of Sharjah) ;
  • Abdalla, J.A. (American University of Sharjah)
  • Received : 2005.08.02
  • Accepted : 2005.10.21
  • Published : 2006.03.30

Abstract

Buckling capacity of compression members may change due to inadvertent changes in the member section dimensions or material properties. This may be the result of repair, modification of section properties or degradation of the material properties. In some occasions, enhancement of buckling capacity of compression members may be achieved through splicing of plates or utilization of composite materials. It is very important for a designer to predict the buckling resistance of the compression member and the important parameters that affect its buckling strength once changes in section and/or material properties took place. This paper presents an analytical approach for determining the buckling capacity of a compression member whose geometric and/or material properties has been altered resulting in a multi-step non-uniform section. This analytical solution accommodates the changes and modifications to the material and/or section properties of the compression member due to the factors mentioned. The analytical solution provides adequate information and a methodology that is useful during the design stage as well as the repair stage of compression members. Three case studies are presented to show that the proposed analytical solution is an efficient method for predicting the buckling strength of compression members that their section and/or material properties have been altered due to splicing, coping, notching, ducting and corrosion.

Keywords

References

  1. AISC (2001), Manual of Steel Construction Load and Resistance Factored Design, 3rd edition, American Institute of Steel Construction
  2. Arbabi, A. and Li, F. (1991), 'Buckling of variable cross-section columns: Integral-equation approach', J. Struct. Eng., ASCE, 117( 8), 2426-2441 https://doi.org/10.1061/(ASCE)0733-9445(1991)117:8(2426)
  3. Barbero, E.J., Dede, E.K. and Jones, S. (2000), 'Experimental verification of buckling-mode interaction in intermediate-length composite columns', Int. J. Solids Struct., 37, 3919-3934 https://doi.org/10.1016/S0020-7683(99)00172-9
  4. Dube, G.P., Agarwal, R.K. and Dumir, P.C. (1996), 'Natural frequencies and buckling loads of beam-columns stiffened by rings', Appl. Math. Modeling, 20, 646-653 https://doi.org/10.1016/0307-904X(96)00045-5
  5. Elishakoff, I. and Rollot, O. (1999), 'New closed-form solutions for buckling of a variable stiffness column by mathematica', J. Sound Vib., 224(1), 172-182 https://doi.org/10.1006/jsvi.1998.2143
  6. Elishakoff, I. (2001), 'Inverse buckling problem for inhomogeneous columns', Int. J. Solids Struct., 38, 457-464 https://doi.org/10.1016/S0020-7683(00)00049-4
  7. Eisenberger, M. and Reich, Y. (1989), 'Buckling of variable cross-section columns', Proc. of the Structures Congress 1989, San Francisco, CA, May 1-5, 1989, J. S. B. Iffland, (editor), 443-451
  8. Ermopoulos, J.C. (1999), 'Buckling length of non-uniform members under stepped axial loads', Comput. Struct., 73, 573-582 https://doi.org/10.1016/S0045-7949(98)00314-9
  9. Gadalla, M.A and Abdalla, J.A. (2004), 'Stability of multi-step compression members and their buckling surface', Proc. of the 3rd Int. Conf. on Advances in Structural Engineering and Mechanics (ASEM'04), 2004, Seoul, Korea, 2-4 September 2004, C.K. Choi, S.H. Kim and H.G. Kwak, (editors), 1069-1081
  10. Gaylord, E.H. and Gaylord, C.N. (1979), Structural Handbook, McGraw-Hill, 2nd Edition
  11. Goncalvesa, R. and Camotim, D. (2005), 'On the incorporation of equivalent member imperfections in the in-plane design of steel frames', J. Construct. Steel Res., 61, 1226-1240 https://doi.org/10.1016/j.jcsr.2005.01.006
  12. Ku, A.B. (1979), 'The buckling of a non-uniform column', Proc of the Third Engineering Mechanics Division Specialty Conf., Austin, TX, Sept. 17-19, 1979. C. Philip Johnson, (editor). 240-243
  13. Lake, M.S. and Mikulas, M.M. (1991), 'Buckling and vibration analysis of a simply supported column with a piecewise constant cross section', NASA Technical Paper 3090
  14. Li, Q.S. (2001), 'Analytical solution for buckling of a multi-step non-uniform columns with arbitrary distribution of flexural stiffness and also with axial load distribution', Int. J. Mech. Sci., 43, 349-366 https://doi.org/10.1016/S0020-7403(00)00017-5
  15. Li, Q.S. (2002), 'On-conservative stability of multi-step non-uniform columns', Int. J. Solids Struct., 39(9), 2387-2399 https://doi.org/10.1016/S0020-7683(02)00130-0
  16. Li, Q.S. (2003), 'Classes of exact solutions for buckling of multi-step non-uniform columns with an arbitrary number of cracks subjected to concentrated and distributed axial loads', Int. J. Eng. Sci., 41(6), 569-586 https://doi.org/10.1016/S0020-7225(02)00181-7
  17. McCormac, J.C. (2003), Structural Steel Design: LRFD Method, Harper Collins College Publisher
  18. Raftoyiannis, I.G. and Ch. Ermopoulos, J.C. (2005), 'Stability of tapered and stepped steel columns with initial imperfections', Eng. Struct., 27, 1248-1257 https://doi.org/10.1016/j.engstruct.2005.03.009
  19. Siginer, D.A. (1992), 'On the buckling of columns of variable flexural rigidity', J. Eng. Mech., ASCE, 118(3), 640-645 https://doi.org/10.1061/(ASCE)0733-9399(1992)118:3(640)
  20. Timoshenko, S.P. and Gere, J.M. (1961), Theory of Elastic Stability. McGrawHill, New York

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