DOI QR코드

DOI QR Code

Nonlinear stability of the upper chords in half-through truss bridges

  • Wen, Qingjie (State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics and Civil Engineering, China University of Mining & Technology) ;
  • Yue, Zixiang (State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics and Civil Engineering, China University of Mining & Technology) ;
  • Liu, Zhijun (State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics and Civil Engineering, China University of Mining & Technology)
  • Received : 2019.05.05
  • Accepted : 2020.07.15
  • Published : 2020.08.10

Abstract

The upper chords in half-through truss bridges are prone to buckling due to a lack of the upper transverse connections. Taking into account geometric and material nonlinearity, nonlinear finite-element analysis of a simple supported truss bridge was carried out to exhibit effects of different types of initial imperfections. A half-wave of initial imperfection was proved to be effective in the nonlinear buckling analysis. And a parameter analysis of initial imperfections was also conducted to reveal that the upper chords have the greatest impact on the buckling, followed by the bottom chords, vertical and diagonal web members. Yet initial imperfections of transverse beams have almost no effect on the buckling. Moreover, using influence surface method, the combinatorial effects of initial imperfections were compared to demonstrate that initial imperfections of the upper chords play a leading role. Furthermore, the equivalent effective length coefficients of the upper chord were derived to be 0.2~0.28 by different methods, which implies vertical and diagonal web members still provide effective constraints for the upper chord despite a lack of the upper transverse connections between the two upper chords. Therefore, the geometrical and material nonlinear finite-element method is effective in the buckling analysis due to its higher precision. Based on nonlinear analysis and installation deviations of members, initial imperfection of l/500 is recommended in the nonlinear analysis of half-through truss bridges without initial imperfection investigation.

Keywords

Acknowledgement

The authors wish to express their gratitude and sincere appreciation to Fundamental Research Funds for the Central Universities (2017XKQY050) for financing this research work.

References

  1. AASHTO (2014), AASHTO LRFD Bridge Design Specifications (7th Ed.), American Association of State Highway and Transportation Officials; Washington DC, USA.
  2. ANSI/AISC 306-10 (2010), Specification for Structural Steel Buildings, American Institute of Steel Construction; Chicago, USA.
  3. Birajdar, H.S., Maiti P.R. and Singh, P.K. (2016), "Strengthening of Garudchatti bridge after failure of Chauras bridge", Eng. Fail. Anal., 62, 49-57. https://doi.org/10.1016/j.engfailanal.2015.12.002.
  4. Bleich, F. (1952), Buckling Strength of Metal Structures, McGraw-Hill Book Company, New York, USA.
  5. BS EN 1993-2 (2006), Design of Steel Structures. Part 2: Steel bridges, European Committee for Standardization; Brussels, Belgium.
  6. Engesser, F. (1884, 1885), Die Sicherung offener Brucken gegen Ausknicken. Zentralbatt der Bauverwaltung, Deutschland. [In German]
  7. Habibi, A. and Bidmeshki, S. (2018), "A dual approach to perform geometrically nonlinear analysis of plane truss structures", Steel Compos. Struct., 27(1), 13-25. https://doi.org/10.12989/ scs.2018.27.1.013.
  8. Holt, E.C. (1952), "Buckling of a Pony Truss Bridge", in Stability of Bridge Chords without Lateral Bracing, Rep. No. 2; Column Research Council, Bethlehem, PA, USA.
  9. Hu, L.S. (1952), "The Instability of Top Chords of Pony Trusses", Dissertation, University of Michigan, Ann Arbor, Michigan.
  10. Iwicki, P. (2007), "Stability of trusses with linear elastic side-supports", Thin-Wall. Struct., 45(10), 849-854. https://doi.org/10.1016/j.tws.2007.08.005.
  11. Jankowska-Sandberg, J. and Kolodziej, J. (2013), "Experimental study of steel truss lateral-torsional buckling", Eng. Struct., 46(46), 165-172. https://doi.org/10.1016/j.engstruct.2012.07.033.
  12. Jiang Z.R., Shi K.R. and Xu, M. (2011), "Analysis of nonlinear buckling and construction simulation for an elliptic paraboloid radial beam stringstructure", China Civil Eng. J., 44(12), 1- 8. https://doi.org/10.15951/j.tmgcxb.2011.12.009.
  13. JTG D64-2015 (2015), Specification for Design of High way Steel Bridge, Ministry of Transport of People's Republic of China; Beijing, China.
  14. JTJ 283-1999 (1999), Code for Design of Steel Structure in Port Engineering, Ministry of Transport of People's Republic of China; Beijing, China.
  15. JTS152-2012 (2012), Code for Design of Steel Structures in Port and Waterway Engineering, Ministry of Transport of People's Republic of China; Beijing, China.
  16. Kozy, B., Boyle, R. and Earls, C.J. (2006), "Chord bearing capacity in long-span tubular trusses", Steel Compos. Struct., 6(2),103-122. https://doi.org/10.12989/scs.2006.6.2.103.
  17. Lee, S.L. and Clough, R.W (1958), "Stability of pony truss bridges", Bridge Struct. Eng., 18, 91
  18. Li, R. Yuan, X., Yuan, W., Dang, X. and Shen, G. (2016), "Seismic analysis of half-through steel truss arch bridge considering superstructure", Struct. Eng. Mech., 59(3), 387-401. https://doi.org/10.12989/sem.2016.59.3.387.
  19. Liu liangmou and Xu Guanyao (2007), "Testing study on the global stability of "321" prefabricated highway steel bridge", Steel Construction, 4, 59-61.
  20. Mazzolani, F.M. (1995), Aluminum Alloy Structure (2nd Ed.), Taylor & Francis Group, Chapman & Hall, London, England.
  21. Rastgar, M. and Showkati, H. (2017), "Buckling of cylindrical steel tanks with oblique body imperfection under uniform external pressure", J. Pressure Vessel Technol., 139(6), 1-11. https://doi.org/10.1115/1.4037808.
  22. Shang Xiaojiang, Xiao Congzhen, and Zhang Liruo (2008), "Discuss on out-plane effective length of compressive chord members in truss without lateral supports", Build. Struct., 38(6), 93-98. https://doi.org/10.3901/JME.2008.05.160.
  23. Smyrnaios, S.V., Iliopoulos, A. and Vayas, I. (2015), "Truss models for inelastic stability analysis and design of steel plate girders", Eng. Struct., 105, 65-173. https://doi.org/10.1016/j.engstruct. 2015.09.040.
  24. Szymczak, C. and Kujawa, M. (2017), "Buckling of thin-walled columns accounting for initial geometrical imperfections", Int. J. Nonlinear Mech., 95, 1-9. https://doi.org/ 10.1016/j.ijnonlinmec.2017.06.003.
  25. TB100091 (2017), Code for Design of Steel Structure of Railway Bridge, Ministry of Transport of People's Republic of China; Beijing, China.
  26. Timoshenko Gere (1961), Theory of elastic stability (2nd Ed.), McGraw- Hill Book Company, New York, USA.
  27. Tomas, A. and Tovar, J.P. (2012), "The influence of initial geometric imperfections on the buckling load of single and double curvature concrete shells", Comput. Struct., 96-97, 34-45. https://doi.org/10.1016/j.compstruc.2012.01.007.
  28. Wang, T.L. (1993), "Impact in railway truss bridge", Comput. Struct., 49(6), 1045-1054. https://doi.org/10.1016/0045-7949(93)90016-7.
  29. Wen, Q.J. and Qi, Y.J. (2011), "Rearch on design of aluminum truss bridge", Adv. Mater. Res., 168-170, 1776-1779. https://doi.org/10.4028/www.scientific.net/AMR.168-170.1776.
  30. Wen Q.J., Yue, Z., Zhou, M. and Liang, D. (2018), "Research on out-of-plane critical buckling load of upper chord in half-through truss bridge", J. Huazhong Univ. Sci. Technol. (Natural Science Edition), 46(1), 105-108. https://doi.org/10.13245/j.hust.180120.
  31. Ye, J. and Lu, M. (2018), "Optimization of domes against instability", Steel Compos. Struct., 28(4), 427-438. https://doi.org/ 10.12989/scs.2018.28.4.427.
  32. Zhang, F. and Huang, J. (1998), "Study of calculation method on lateral stability of top chord of half-through truss bridge", J. Ningbo Univ. (Natural Science & Engineering Edition), 11(2), 62-68.