Abstract
This paper deals with the elastic lateral-torsional buckling (LTB) strength of tapered I-girders with corrugated webs under two types of loading conditions: uniform moment and moment gradient with various end restraint conditions. A finite element (FE) program using beam elements is developed to study LTB behaviors. The results from this program are compared with those from the commercial software ABAQUS using shell elements. From the comparisons, it is found that the developed FE program’s results agree well with the results from ABAQUS. For design purpose, the closed-form equations for the critical buckling moment of the tapered I-girder with corrugated webs under uniform moment and moment gradient with four types of end restraint conditions: simply supported, warping fixed, lateral bending fixed, and completely fixed are proposed based on the results from the developed FE program. From the numerical investigations, the new design equations give reasonably accurate results. These equations increase efficiency in bridges and buildings design.
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References
ABAQUS (2007). Standard User’s Manual. Version 6.7. Hibbit, Karsson & Sorensen Inc., USA.
AISC (1994). Load and resistance factor design. 2nd Ed., American Institute of Steel Construction, USA.
Andrade, A. and Camotim, D. (2004). “Lateral-torsional buckling of prismatic and tapered thin-walled open beams: assessing the influence of pre-buckling deflections.” Steel & Composite Structures, 4(4), pp. 281–301.
Andrade, A., Camotim, D., Borges Dinis, P. (2007). “Lateraltorsional buckling of singly symmetric web-tapered thinwalled I-beams: 1D model vs. shell FEA.” Computers & Structures, 85, pp. 1343–1359.
Andrade, A., Providência, P., and Camotim, D. (2010). “Elastic lateral-torsional buckling of restrained webtapered I-beams.” Computers & Structures, 88(21–22), pp. 1179–1196.
Barsoum, R. S. and Gallagher, R. H. (1970). “Finite element analysis of torsional and torsional-flexural stability problems.” International Journal for Numerical Methods in Engineering, 2(3), pp. 335–352.
Bazant, Z. P. and El Nimeiri, M. (1973). “Large-deflection spatial buckling of thin-walled beams and frames.” Journal of the Engineering Mechanics Division, ASCE, 99(6), pp. 1259–1281.
Brown, T. G. (1981). “Lateral torsional buckling of tapered I-beams.” Journal of the Structural Division, ASCE, 107(4), pp. 689–697.
Bradford, M. A. and Cuk, P. E. (1988). “Elastic buckling of tapered monosymmetric I-beams.” Journal of Structural Engineering, ASCE, 114(5), pp. 977–996.
Bradford, M. A. (1988a). “Stability of tapered I-beams.” Journal of Constructional Steel Research, 9(3), pp. 195–216.
Bradford, M.A. (1988b), “Lateral stability of tapered beamcolumns with elastic restraints”, Structural Engineer, 66(22), pp. 376–382.
Bradford, M. A. (1989). “Inelastic buckling of tapered monosymmetric I-beams.” Engineering Structures, 11(2), pp. 119–126.
Braham, M. and Hanikenne, D. (1993). “Lateral buckling of web-tapered: an original design method confronted with a computer simulation.” Journal of Constructional Steel Research, 27(1–3), pp. 23–36.
Braham, M. (1997). “Elastic lateral-torsional buckling of web tapered I-beams subjected to end moments.” Proc. 18th Czech-Slovak International Conf. on Steel Structures and Bridges, pp. 37–42.
Boissonnade, N. and Muzeau, J. P. (2001). “New beam finite element for tapered members.” Proc. 8th International Conf. on Civil and Structural Engineering Computing, Civil-Com Press, Vienna, pp. 73–74.
Boissonnade, N. and Braham, M. (2002). “Elastic lateraltorsional buckling of tapered members with monosymmetric cross-section: new approaches and correct solution.” Proc. 3rd European Conf. on Steel Structures, Coimbra, pp. 311–320.
Chan, S. L. (1990). “Buckling analysis of structures composed of tapered members.” Journal of Structural Engineering, ASCE, 116(7), pp. 1893–1906.
Gupta, P., Wang, S. T., and Blandford, G. E. (1996). “Lateral-torsional buckling of non-prismatic I-beams.” Journal of Structural Engineering, ASCE, 122(7), pp. 748–755.
Horne, M. R., Shakir, K. H., and Akhtar, S. (1979). “Stability of tapered and haunched members.” Proc. Inst. of Civ. Engrg, London, UK, 67(2), pp. 677–699.
Kitipornchai, S. and Trahair, N. S. (1972). “Elastic stability of tapered I-beams.” Journal of the Structural Division, ASCE, 98(3), pp. 713–728.
Kitipornchai, S. and Trahair, N. S. (1975). “Elastic behavior of tapered monosymmetric I-beams.” Journal of the Structural Division, ASCE, 101(8), pp. 1661–1678.
Kim, S. B. and Kim, M. Y. (2000). “Improved formulation for spatial stability and free vibration of thin-walled tapered beams and space frames.” Engineering Structures, 22(5), pp. 446–458.
Linder, J. (1990). Lateral torsional buckling of beams with trapezoidally corrugated webs. Stab. Steel Struct., Budapest, Hungary, pp. 305–310.
Lei, Z. and Shu, T. G. (2008). “Lateral buckling of webtapered I-beams: A new theory.” Journal of Constructional Steel Research, 64(12), pp. 1379–1393.
Moon, J., Yi, J. W., Choi B. H., and Lee, H. E. (2009). “Lateral-torsional buckling of I-girder with corrugated webs under uniform bending.” Thin-Walled Structures, 47(1), pp. 21–30.
Nethercot, D. A. (1973). “Lateral buckling of tapered beams.” IABSE Publications, 33(2), pp. 173–192.
Nguyen, N. D., Kim, S. N., Han, S. R., and Kang, Y. J. (2010). “Elastic lateral-torsional buckling strength of Igirder with trapezoidal web corrugations using new warping constant under uniform moment.” Engineering Structures, 32(8), pp. 2157–2165.
Nguyen, N. D., Han, S. R., Lee, G. S., and Kang, Y. J. (2011). “Moment modification factor of I-girder with trapezoidal-web-corrugations considering concentrated load height effects.” Journal of Constructional Steel Research, 67(11), pp. 1773–1787.
Nguyen, N. D., Han, S. R., Kim, J. H., Kim, S. N., and Kang, Y. J. (2012). “Moment modification factor of Igirder with trapezoidal web corrugations under moment gradient.” Thin-Walled Structures, 57, pp. 1–12.
Park, J. S. and Kang, Y. J. (2004). “Lateral-torsional buckling of stepped beams under linear moment gradient.” International Journal of Steel Structures, 4(2), pp. 71–81.
Shiomi, H. and Kurata, M. (1984). “Strength formula for tapered beam-columns.” Journal of Structural Engineering, ASCE, 110(7), pp. 1630–1643.
Samanta, A. and Mukhopadhyay, M. (1999). “Finite element static and dynamic analyses of folded plates.” Engineering Structures, 31(3), pp. 277–287.
Trahair, N. S. (1993). Flexural-torsional buckling of structures. 1st Ed., CRC Press Inc., USA.
Valicourt, B. (2000). “Lateral-torsional buckling of web tapered I-beams acted by a non uniform bending moment diagram.” Graduation Rep. No. 16, Civil & Urban Engineering Dept., INSA, Rennes, France (in French).
Wekezer, J. W. (1985). “Instability of thin walled bars.” Journal of Engineering Mechanics, ASCE, 111(7), pp. 923–935.
Yang, Y. B. and Yau, J. D. (1987). “Stability of beams with tapered I-sections.” Journal of Engineering Mechanics, ASCE, 113(9), pp. 1337–1357.
Yau, J. D. (2006). “Stability of tapered I-beams under torsional moments.” Finite Elements in Analysis and Design, 42(10), pp. 914–927.
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Note.-Discussion open until August 1, 2013. This manuscript for this paper was submitted for review and possible publication on June 29, 2012; approved on February 19, 2013.
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Nguyen, N.D., Nguyen-Van, H., Han, SY. et al. Elastic lateral-torsional buckling of tapered I-girder with corrugated webs. Int J Steel Struct 13, 71–79 (2013). https://doi.org/10.1007/s13296-013-1007-8
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DOI: https://doi.org/10.1007/s13296-013-1007-8