Steel and Composite Structures

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Web strain based prediction of web distortion influence on the elastic LTB limiting length

  • Bas, Selcuk (Department of Civil Engineering, Faculty of Engineering, Architecture and Design, Bartin University)
  • Received : 2021.07.17
  • Accepted : 2022.04.13
  • Published : 2022.04.25
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Abstract

Buckling is one of the most critical phoneme in the design of steel structures. Lateral torsional buckling (LTB) is particularly significant for slender beams generally subjected to loading in plane. The web distortion effects on LTB are not addressed explicitly in standards for flexural design of steel I-section members. Hence, the present study is focused to predict the influence of the web distortion on the elastic (Lr) limiting lengths given in American Institute of Steel Construction (AISC) code for the lateral torsional buckling (LTB) behavior of steel beams due to no provision in the code for consideration of web distortion. For this aim, the W44x335 beam is adopted in the buckling analysis carried out by the ABAQUS finite element (FE) program since it is one of the most critical sections in terms of lateral torsional buckling (LTB). The strain results at mid-height of the web at mid-span of the beam are taken into account as the monitoring parameters. The web strain results are found to be relatively greater than the yield strain value when L/Lr is equal to 1.0. In other words, the ratio of L/Lr is estimated from the numerical analysis to be about 1.5 when the beam reaches its first yielding at mid-span of the beam at mid-height of the section. Due to the effect of web distortion, the elastic limiting length (Lr) from the numerical analysis is obtained to be considered as greater than the calculated length from the code formulation. It is suggested that the formulations of the limiting length proposed in the code can be corrected considering the influence of the web distortion. This correction can be a modification factor or a shape factor that reduces sectional slenderness for the LTB formulation in the code.

Keywords

References

  1. ABAQUS (2017), Standard User's Manual, Dassault Systemes, Waltham, MA.
  2. AISC (2017), Specification for Structural Steel Buildings, American Institute of Steel Construction, Chicago, IL, USA.
  3. AS4100-1998 (2016), Steel Structures, Standards Association of Australia; Sydney, Australia.
  4. Aydin, R., Gunaydin, A. and Kirac, N. (2015), "On the evaluation of critical lateral buckling loads of prismatic steel beams", Steel Comp. Struct., 18(3), 603-621. http://dx.doi.org/10.12989/scs.2015.18.3.603.
  5. Bazant, Z.P. and Cedolin, L. (1991), Stability of Structures-Elastic, Inelastic, Fracture and Damage Theories, Oxford University Press, New York, USA.
  6. Bas, S. (2019), "Lateral torsional buckling of steel I-beams: Effect of initial geometric imperfection", Steel Comp. Struct., 30, 483-492. http://dx.doi.org/10.12989/scs.2019.30.5.483.
  7. Benmohammed, N., Ziane, N., Meftah, S.A. and Ruta, G. (2020), "Distortional effect on global buckling and post-buckling behaviour of steel box beams", Steel Compos. Struct., 35(6), 717-727. http://dx.doi.org/10.12989/scs.2020.35.6.717.
  8. Chen, W. and Ye, J. (2010), "Elastic lateral and restrained distortional buckling of doubly symmetric I-beams", Int. J. Struct. Stabil. Dyn., 10(5), 983-1016. https://doi.org/10.1142/S0219455410003865.
  9. Dahmani, L. and Boudjemia, A. (2014), "Lateral torsional buckling response of steel beam with different boundary conditions and loading", Strength Mater., 46, 429-432. https://doi.org/10.1007/s11223-014-9565-3.
  10. Dekker, N.W. and Kemp ,A.R. (1998), "A simplified distortional buckling model for doubly symmetrical l-sections", Canadian J. Civil Eng., 25(4), 718-727. https://doi.org/10.1139/l98-001.
  11. Djafour, N., Kherbouche, S. and Megnounif, A. (2022), "Parametric study on cold-formed steel built-up columns using direct strength method", Structures, 39, 337-350. https://doi.org/10.1016/j.istruc.2022.03.028.
  12. Eurocode-3 (EC3) (2005), EN 1993-1-1: Design of Steel Structures - Part 1-1: General Rules and Rules for Buildings, European Committee for Standardization, Brussels, Belgium.
  13. Galambos, T.V. (1998), Guide to Stability Design Criteria for Metal Structures, John Wiley & Sons.
  14. Galambos, T.V. and Surovek, A.E. (2008), Structural Stability of Steel, Concepts and Applications for Structural Engineers, Wiley, New York. USA.
  15. Hajdo, E., Ibrahimbegovic, A. and Dolarevic, S. (2020), "Buckling analysis of complex structures with refined model built of frame and shell finite elements", Coupled Syst. Mech., 9(1), 29-46. http://dx.doi.org/10.12989/csm.2020.9.1.029.
  16. Hosseinpour, M. and Sharifi, Y. (2021), "Finite element modelling of castellated steel beams under lateral-distortional buckling mode", Structures, 29, 1507-1521. https://doi.org/10.1016/j.istruc.2020.12.038.
  17. Jo1a, E.J., Vu, Q.V. and Kim, S.E. (2020), "Effect of residual stress and geometric imperfection on the strength of steel box girders", Steel Compos. Struct., 34(3), 423-440. http://dx.doi.org/10.12989/scs.2020.34.3.423
  18. Kala, Z. and Vales, J. (2017), "Global sensitivity analysis of lateral-torsional buckling resistance based on finite element simulations", Eng. Struct., 134, 37-47. https://doi.org/10.1016/j.engstruct.2016.12.032.
  19. Kalkan, I. and Buyukkaragoz, A. (2012), "A numerical and analytical study on distortional buckling of doubly-symmetric steel I-beams", J. Construct. Steel Res., 70, 289-297. https://doi.org/10.1016/j.jcsr.2011.06.006.
  20. Kasiviswanathan, M. and Anbarasu, M. (2021), "Simplified approach to estimate the lateral torsional buckling of GFRP channel beams", Struct. Eng. Mech., 77(4), 523-533. https://doi.org/10.12989/SEM.2021.77.4.523.
  21. Li, Y., Zhou, T., Ding, J., Li, C. and Zhang, X. (2021), "Investigation on Distortion Buckling Behavior of Cold-formed Thin-walled Steel Built-up Box-section Columns", Hunan Daxue Xuebao/J. Hunan Univ. Nat. Sci., 48(11), 91-100. http://dx.doi.org/10.16339/j.cnki.hdxbzkb.2021.07.005.
  22. Li, Y., Zhou, T., Zhang, L., Ding, J. and Zhang, X. (2021), "Distortional buckling behavior of cold-formed steel built-up closed section columns", Thin-Wall. Struct., 166, 108069. https://doi.org/10.1016/j.tws.2021.108069.
  23. Ma, M., McNatt, T., Hays, B. and Hunter, S. (2013), "Elastic lateral distortional buckling analysis of cantilever I-beams", Ships Offshore Struct., 8(3-4), 261-269. https://doi.org/10.1080/17445302.2012.747282.
  24. Mimoune, M. and Siouane, S. (2019), Numerical Analysis on Lateral Distortional Buckling of Octagonal Castellated Steel Beams. In: Pradhan, B. GCEC 2017. GCEC 2017. Lecture Notes in Civil Engineerin, Springer, Singapore. https://doi.org/10.1007/978-981-10-8016-6_34.
  25. Nethercot, D.A. and Rockey, K.C. (1972), "A unified approach to the elastic lateral buckling of beams", Eng. J. Amer. Institute Steel Construct., 9, 96-107.
  26. Rezaiee-Pajand, M., Masoodi, A. R. and Alepaighambar, A. (2018), "Lateral-torsional buckling of functionally graded tapered I-beams considering lateral bracing", Steel Compos. Struct., 28(4), 403-414. http://dx.doi.org/10.12989/SCS.2018.28.4.403.
  27. Rossi, A., Ferreira, F.P.V., Martins, C.H. and Mesacasa, Junior E.C. (2020), "Assessment of lateral distortional buckling resistance in welded I-beams", J. Construct. Steel Res., 166, 105924. https://doi.org/10.1016/j.jcsr.2019.105924.
  28. Sang, L., Zhou, T., Zhang, L., Chen, B. and Wang, S. (2022), "Experimental investigation on the axial compression behavior of cold-formed steel triple-limbs built-up columns with half open section", Thin-Walled Struct., 172, 108913. https://doi.org/10.1016/j.tws.2022.108913.
  29. Simitses, G.J. and Hodges, D.H. (2006), Fundamentals of Structural Stability, Elsevier, Amsterdam.
  30. Slein, R., Buth, J.S., Latif, W., Kamath, A.M., Alshannaq, A.A., Sherman, R.J., Scott, D.W. and White, D.W. (2020), "Largescale experimental lateral-torsional buckling tests of welded Isection members", Proceedings of the Annual Stability Conference Structural Stability Research Council, SSRC 2020.
  31. Slein, R., Buth, J.S., Latif, W., Kamath, A.M., Alshannaq, A.A., Sherman, R.J., Scott, D.W. and White, D.W. (2021), "Lateraltorsional buckling research needs and validation of an experimental setup in the elastic range", Eng. J., 58(4), 279-292.
  32. Subramanian, L. and White, D.W. (2017), "Resolving the disconnects between lateral torsional buckling experimental tests, test simulations and design strength equations", J. Construct. Steel Res., 128, 321-334. http://dx.doi.org/10.1016/j.jcsr.2016.08.009.
  33. Subramanian, L., Jeong, W.Y., Yellepeddi, R. and White, D.W. (2018), "Assessment of I-section member LTB resistances considering experimental test data and practical inelastic buckling design calculations", Eng. J., 55(1), 15-44.
  34. Timoshenko, S.P. and Gere, J.M. (1961), Theory of Elastic Stability, McGraw-Hill.
  35. Tohidi, S. and Sharifi, Y. (2018), "Flexural distortional strength of steel beams determined by finite-element modelling", Proceedings of the Institution of Civil Engineers: Structures and Buildings, 171(3), 195-202. https://doi.org/10.1680/jstbu.14.00052.
  36. Trahair, N.S. (1993), Flexural-Torsional Buckling of Structures, CRC Press, Boca Raton, FL.
  37. Zirakian, T. (2007), "Elastic distortional buckling analysis of steel I-beams using CUFSM", Proceedings, Annual Conference - Canadian Society for Civil Engineering, 1-10.
  38. Zirakian, T. (2008a), "Elastic distortional buckling of doubly symmetric I-shaped flexural members with slender webs", ThinWall. Struct., 46(5), 466-475. https://doi.org/10.1016/j.tws.2007.11.001.
  39. Zirakian, T. (2008b), "Lateral-distortional buckling of I-beams and the extrapolation techniques", J. Construct. Steel Res., 64(1), 1-11. https://doi.org/10.1016/j.jcsr.2007.04.002.
  40. Zirakian, T. and Nojoumi, S.A. (2011), "Elastic lateral-distortional buckling of I-beams and the Meek Plot", Struct. Eng. Mech., 37(3), 297-307. https://doi.org/10.12989/sem.2011.37.3.297.
  41. Zirakian, T. and Showkati, H. (2006), "Distortional buckling of castellated beams", J. Construct. Steel Res., 62(9), 863-871. https://doi.org/10.1016/j.jcsr.2006.01.004.
  42. Zirakian, T. and Showkati, H. (2007), "Experiments on distortional buckling of I-beams", J. Struct. Eng., 133(7), 1009-1017. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:7(1009).
  43. Zirakian, T. and Zhang, J. (2010), "Elastic lateral-distortional buckling of singly symmetric I-beams: The 2005 AISC specification", Proceedings of SDSS' Rio 2010: International Colloquium Stability and Ductility of Steel Structures.
  44. Zirakian, T. and Zhang, J. (2012), "Elastic distortional buckling of singly symmetric I-shaped flexural members with slender webs", Int. J. Struct. Stab. Dyn., 12(2), 359-376. https://doi.org/10.1142/S0219455412500071.