DOI QR코드

DOI QR Code

Lateral buckling of thin-walled members with openings considering shear lag

  • Wang, Quanfeng (Department of Civil Engineering, National Huaqiao University)
  • 발행 : 1997.07.25

초록

The classical theory of thin-walled members is unable to reflect the shear lag phenomenon since it is based on the assumption of no shearing strains in the middle surface of the walls. In this paper, an energy equation for the lateral buckling of thin-walled members has been derived which includes the effects of torsion, warping and, especially, the shearing strains which reflect the shear lag phenomenon. A numerical analysis for the lateral buckling of thin-walled members with openings by using Galerkin's method of weighted residuals has been presented. The proposed numerical values and the predictions by experiment for the lateral buckling loads are to agree closely in the paper. The results from these comparisons show that the proposed method here is capable of predicting the lateral buckling of thin-walled members with openings. The fast convergence of the results indicates the numerical stability of the method. By the study, a very complex practical eigenvalue problem is transformed into a very simple one of solving only a linear equation with one variable.

키워드

참고문헌

  1. Barsoum, R.S. and Gallagher, R.H. (1970), "Finite element analysis of torsional and torsional-flexural stability problems", Int. J. for Numerical Methods in Engrg, 2(3).
  2. Coull, A. and Alvarez, M.C. (1980), "Effect of openings on lateral buckling of beams", J. of the Struct. Div., ASCE, 106(12), 2553-2560.
  3. Crandall, S. (1956), Engineering Analysis, McGraw Hill Book Co., New York, N.Y.
  4. Gellin, S. and Lee, G.C. (1988), "Finite element analysis of thin-walled structures: Finite elements available for the analysis of non-curved thin-walled structures", Elsevier Applied Science, 1-30. London and New York., 1988.
  5. Jonson, C.P. and Will, K.M. (1974), "Beam buckling by finite element procedure", J. of the Struct. Div., ASCE, 100(3), 669-685.
  6. Kollbrunner, C.F. and Hajdin, H., "Woibkraft-torsion dunnwardiger stabe mit geschlossenem profil", Schweized Stahlbauverband Mitteilungen der Technischen Kommision, Heft 32.
  7. Krajcinovic, D. (1969)," A consisted discrete element technique for thin-walled assemblages", Int. J. of Solid and Structures, 5(7).
  8. Masur, E.F. and Milbradt, K.P., "Collapse stength of redundant beams after lateral buckling", J. Appl. Mech., Trans., ASME, 24(2), 283-288.
  9. Mentrasti, L. (1987), "Torsion of closed cross-section thin-walled beams:The influence of shearing strain", J. Thin-Walled Structures, 5, 277-305. https://doi.org/10.1016/0263-8231(87)90008-5
  10. Pandey, M.D. and Sherbourne, N.S. (1990), "Elastic, lateral torsional stability of beams: general considerations", J. of Struct. Engrg., ASCE, 116(2), 317-335. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:2(317)
  11. Thevendran, V. and Shanmugam, N.E. (1991), "Lateral buckling of doubly symmetric beams containing openings", J. of Engrg. Mech., ASCE, 117(7), 1427-1441. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:7(1427)
  12. Timoshenko, S.P. and Gooder, J.N. (1951), Theory of Elasticity, McGraw-Hill Book Co., New York, N.Y.
  13. Timoshenko, S.P. and Gree, J.M. (1961), Theory of Elasticity Stability, 2nd Ed., McGraw-Hill Book Co., New York, N.Y.
  14. Vlasov, V.Z. (1961), Thin-Walled Elastic Beams, 2nd Ed., Israel Program for Scientific Traslation, Jerusalem, Israel.
  15. Wang, Quanfeng (1991), "Stability of shear-wall building using method of weighted residuals", J. of Engrg. Mech., ASCE, 117(3), 700-706. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:3(700)
  16. Youg, L.P. and Trahair, N.S. (1992), "Energy equation for beam lateral buckling", J. of Struct. Engrg., ASCE, 118(6), 1462-1479. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:6(1462)

피인용 문헌

  1. Evaluation of shear lag parameters for beam-to-column connections in steel piers vol.17, pp.5, 2004, https://doi.org/10.12989/sem.2004.17.5.691
  2. Investigation of shear lag effect on tension members fillet-welded connections consisting of single and double channel sections vol.74, pp.3, 1997, https://doi.org/10.12989/sem.2020.74.3.445