Steel and Composite Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

On the evaluation of critical lateral buckling loads of prismatic steel beams

  • Aydin, R. (Department of Civil Engineering, Eskisehir Osmangazi University) ;
  • Gunaydin, A. (Department of Civil Engineering, Eskisehir Osmangazi University) ;
  • Kirac, N. (Department of Civil Engineering, Eskisehir Osmangazi University)
  • Received : 2010.10.18
  • Accepted : 2014.08.29
  • Published : 2015.03.25
⟨ Previous Next ⟩

Abstract

In this study, theoretical models and design procedures of the behavior of thin-walled simply supported steel beams with an open cross section under a large torsional effect are presented. I-sections were chosen as the cross section types. Firstly, the widely used differential equations for the lateral buckling for the pure bending moment effect in a beam element were adopted for the various moment distributions along the span of the beam. This solution was obtained for both mono-symmetric and bisymmetric sections. The buckling loads were then obtained by using the energy method. When using the energy method to solve the problem, it is possible to locate the load not only on the shear center but also at several points of the section depth. Buckling loads were obtained for six different load types. Results obtained for different load and cross section types were checked with ABAQUS software and compared with several standard rules.

Keywords

References

  1. ABAQUS (2008), Theory Manual, Version 6.8-2, Hibbit, Karlsson & Sorensen.
  2. AISC (2005a), Specification for Structural Steel Buildings, American Institute of Steel Construction, Chicago, IL, USA.
  3. AISC (2005b), Commentary on the Specification for Structural Steel Buildings, American Institute of Steel Construction, Chicago.
  4. Aktas, M. (2005), "Verification of nonlinear finite element modelling of I-shaped steel beams under combined loading", J. Inst. Sci. Tech. Sakarya U., 9(1), 22-29.
  5. Andrade, A., Camotim, D. and Providencia e Costa, P. (2007), "On the evaluation of elastic critical moments in doubly and singly symmetric I-section cantilevers", J. Constr. Steel Res., 63(7), 894-908. https://doi.org/10.1016/j.jcsr.2006.08.015
  6. Atkinson, K.E. (1989), An Introduction to Numerical Analysis, John Wiley  Sons, New York, NY, USA.
  7. Aydin, R. and Dogan, M. (2007), "Elastic, full plastic and lateral torsional buckling analysis of steel single-angle section beams subjected to biaxial bending", J. Constr. Steel Res., 63(1), 13-23. https://doi.org/10.1016/j.jcsr.2006.03.012
  8. Bleich, F. (1952), Buckling Strength of Metal Structures, McGraw Hill, New York, NY, USA.
  9. Brown, P.T. and Trahair, N.S. (1968), "Finite integral solution of differential equations", Civil Eng. Trans., 10(2), 193-196.
  10. BS5950-1 (2000), Structural Use of Steelwork in Buildings, Code of Practice for Design; Rolled and Welded Sections, British Standards Institution, London.
  11. Bui, H.C. (2009), "Buckling analysis of thin-walled sections under general loading conditions", Thin-Wall. Struct., 47(6-7), 730-739.
  12. CRC (1976), Guide to Design Criteria for Metal Compression Members, (3rd Edition), Column Research Council, New York, NY, USA.
  13. EC3 (2005a), EN 1993-1-1; Eurocode 3: Design of Steel Structures-Part 1-1: General Rules and Rules for Buildings, European Committee for Standardization, Brussels, Belgium.
  14. EC3 (2005b), Designers' Guide to en 1993-1-1; Eurocode 3: Design of Steel Structure. General Rules and Rules for Buildings, The Steel Construction Institute.
  15. Galambos, T.V. (1998), Guide to Stability Design Criteria for Metal Structures, John Wiley Sons, New York, NY, USA.
  16. Kitipornchai, S. and Richter, N.J. (1978), "Elastic lateral buckling of I-beams with discrete intermediate restraints", Civil Eng. Trans., 20(2), 105-111.
  17. Kitipornchai, S. and Trahair, N.S. (1975), "Buckling of inelastic I-beams under moment gradient", J. Struct. Div. ASCE, 101(ST5), 991-1004.
  18. Kitipornchai, S., Dux, P.F. and Richter, N.J. (1984), "Buckling and bracing of cantilevers", J. Struct. Div. ASCE, 110(9), 2250-2262. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:9(2250)
  19. Kitipornchai, S., Wang, C.M. and Trahair, N.S. (1986), "Buckling of monosymmetric I-beams under moment gradient", J. Struct. Eng. ASCE, 112(4), 781-799. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:4(781)
  20. Larue, B., Khelil, A. and Gueury, M. (2007), "Elastic flexural-torsional buckling of steel beams with rigid and continuous lateral restraints", J. Constr. Steel Res., 63(5), 692-708. https://doi.org/10.1016/j.jcsr.2006.07.004
  21. Lim, N.H., Kim, Y.J. and Kang, Y.J. (2002), "Lateral-torsional buckling of single-axis symmetric I-beams", J. Civil Eng. KSCE, 22(4-A), 871-883.
  22. Lim, N.H., Park, N.H., Kang, Y.J. and Sung, I.H. (2003), "Elastic buckling of I-beams under linear moment gradient", Int. J. Solids Struct., 40(21), 5635-5647. https://doi.org/10.1016/S0020-7683(03)00330-5
  23. Mohri, F., Brouki, A. and Roth, J.C. (2003), "Theoretical and numerical stability analyses of unrestrained, mono-symmetric thin-walled beams", J. Constr. Steel Res., 59(1), 63-90. https://doi.org/10.1016/S0143-974X(02)00007-X
  24. Mohri, F., Bouzerira, C. and Potier-Ferry, M. (2008a), "Lateral buckling of thin-walled beam-column elements under combined axial and bending loads", Thin-Wall. Struct., 46(3), 290-302. https://doi.org/10.1016/j.tws.2007.07.017
  25. Mohri, F., Eddinari, A., Damil, N. and Potier-Ferry, M. (2008b), "A beam finite element for non-linear analyses of thin-walled elements", Thin-Wall. Struct., 46(7-9), 981-990. https://doi.org/10.1016/j.tws.2008.01.028
  26. Mohri, F., Damil, N. and Potier-Ferry, M. (2010), "Linear and non-linear stability analyses of thin-walled beams with monosymmetric I sections", Thin-Wall. Struct., 48(4-5), 299-315. https://doi.org/10.1016/j.tws.2009.12.002
  27. Nethercot, D.A. (1983), "Elastic lateral buckling of beams", In: Beams and Beam Columns: Stability and Strength, (R. Narayanan Editor), Applied Science Publishers, Barking, England.
  28. Park, J.S., Stallings, J.M. and Kang, Y.J. (2004), "Lateral-torsional buckling of prismatic beams with continuous top-flange bracing", J. Constr. Steel Res., 60(2), 147-160. https://doi.org/10.1016/j.jcsr.2003.08.013
  29. Serna, M.A., Lopez, A., Puente, I. and Yong, D.J. (2006), "Equivalent üniform moment factors for lateral-torsional buckling of steel members", J. Constr. Steel Res., 62(6), 566-580. https://doi.org/10.1016/j.jcsr.2005.09.001
  30. Suryoatmono, B. and Ho, D. (2002), "The moment-gradient factor in lateral-torsional buckling on wide flange steel sections", J. Constr. Steel Res., 58(9), 1247-1264. https://doi.org/10.1016/S0143-974X(01)00061-X
  31. Taras, A. and Greiner, R. (2008), "Torsional and flexural torsional buckling-A study on laterally restrained I-sections", J. Constr. Steel Res., 64(7-8), 725-731. https://doi.org/10.1016/j.jcsr.2008.01.019
  32. Timoshenko, S.P. and Gere, J.M. (1961), Theory of Elastic Stability, McGraw Hill, New York, NY, USA.
  33. Torkamani, M.A.M. and Roberts, E.R. (2009), "Energy equations for elastic flexural-torsional buckling analysis of plane structures", Thin-Wall. Struct., 47(4), 463-473. https://doi.org/10.1016/j.tws.2008.06.006
  34. Trahair, N.S. (1977), The Behaviour and Design of Steel Structures, Chapman & Hall, London, UK.
  35. Trahair, N.S. (1993), Flexural-Torsional Buckling of Structures, E&FN Spon, London, UK.
  36. Trahair, N.S. and Bradford, M.A. (1998), The Behaviour and Design of Steel Structures to AS 4100, E&FN Spon, London, UK.
  37. Vlassov, V.Z. (1961), Thin-Walled Elastic Beams, National Science Foundation, Washington, D.C., USA.
  38. White, D.W. (2004), "Unified flexural resistance equations for stability design of steel I-section members overview", Structural Engineering, Mechanics and Materials, Report No. 24a; School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA, USA.
  39. Zirakian, T. (2008), "Elastic distortional buckling of doubly symmetric I-shaped flexural members with slender webs", Thin-Wall. Struct., 46(5), 466-475. https://doi.org/10.1016/j.tws.2007.11.001
  40. Zirakian, T. (2010), "On the application of the extrapolation techniques in elastic buckling", J. Const. Steel Res., 66(3), 335-341. https://doi.org/10.1016/j.jcsr.2009.11.001

Cited by

  1. Analytical and parametric investigations on lateral torsional buckling of European IPE and IPN beams vol.17, pp.2, 2017, https://doi.org/10.1007/s13296-017-6024-6
  2. Lateral-torsional buckling of functionally graded tapered I-beams considering lateral bracing vol.28, pp.4, 2018, https://doi.org/10.12989/scs.2018.28.4.403
  3. An alternative evaluation of the LTB behavior of mono-symmetric beam-columns vol.30, pp.5, 2019, https://doi.org/10.12989/scs.2019.30.5.471