Steel and Composite Structures

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Mechanical properties of curved composite box girders with corrugated steel webs

  • Liu, Sumei (School of Architectural Engineering, Jinling Institute of Technology) ;
  • Corte, Wouter De (Department of Structural Engineering and Building Materials, Faculty of Engineering and Architecture, Ghent University) ;
  • Ding, Hanshan (School of Civil Engineering, Southeast University) ;
  • Taerwe, Luc (Department of Structural Engineering and Building Materials, Faculty of Engineering and Architecture, Ghent University)
  • Received : 2019.09.01
  • Accepted : 2021.08.26
  • Published : 2021.10.10
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Abstract

Several methods derived for use on traditional concrete curved box girders (CBGs) are used in design practice. However, these typically consider only one elastic modulus and one shear modulus, and consequently cannot be applied directly to CBGs with corrugated steel webs (CSWs) due to the large shear deformations and small longitudinal stiffness of CSWs, while these shear deformations are small and usually ignored for common concrete webs. In this paper, firstly, the flexure-torsion governing differential equations considering the shear deformations and the accordion effect of CSWs, and the distortion governing differential equation considering the accordion effect of CSWs are derived for CBGs with CSWs. A practical method which can solve the deflections, torsional angles, distortional angles, stresses and internal forces of simple and continuous CBGs with intermediate diaphragms is proposed. Secondly, the results of a series of tests performed on three CBGs with CSWs, published test results, as well as finite element analysis results and theoretical results of straight box girders (SBGs) with CSWs are used to verify the correctness of the analytical method. The agreement between analytical, experimental and numerical results is good. Finally, a parametric analysis is conducted and the results show that: (a) the influence of shear deformations of CSWs on the deflections of CBGs with CSWs increases with increasing curvature radius R. For SBGs with CSWs, the deflections may increase by 30% when considering shear deformations. For CBGs with CSWs, the deflection increase ranges between 8% and 30% for concentrated loads depending on the curvature radius. (b) the distortional shear stress, which is small and typically neglected for CBGs with concrete webs, may be as big as, or larger than the flexural shear stress, and must be considered. The restrained torsional shear stress, which is also small and typically neglected for CBGs with concrete webs, can reach 9% of the flexural shear stress, and also must be considered.

Keywords

Acknowledgement

The study was supported by the National Natural Science Foundation of China (Grant No. 51378106), the China Scholarship Council (Grant No. 201806090108), and the Scientific Research Foundation for High-Level Talents of Jinling Institute of Technology (Grant No. jit-b-202131). The financial support is gratefully acknowledged. The authors also acknowledge the members of the research group for their hard work during the tests.

References

  1. ANSYS (2012), ANSYS User's Manual Revision 12.1, ANSYS Inc., Canonsburg, PA, USA.
  2. Chen, X.C., Au, F.T.K., Bai, Z.Z., Li, Z.H. and Jiang, R.J. (2015), "Flexural ductility of reinforced and prestressed concrete sections with corrugated steel webs", Comput. Concret, 16(4), 625-642. https://doi.org/10.12989/cac.2015.16.4.625.
  3. Chen, X.C., Bai, Z.Z., Zeng, Y., Jiang, R.J. and Au, F.T.K. (2016), "Prestressed concrete bridges with corrugated steel webs: Nonlinear analysis and experimental investigation", Steel Compos. Struct., 21(5), 1045-1067. https://doi.org/10.12989/scs.2016.21.5.1045.
  4. Cheyrezy, M. and Combault, J. (1990), "Composite bridges with corrugated steel webs-Achievements and prospects", IABSE Symposium Brussels 1990: Mixed Structures, Including New Materials, IABSE Reports, Brussels, Belgium.
  5. Ding, Y., Jiang, K., Lin, Z., Sun, Y. and Kuang, Q. (2014). "Experimental research on ultimate torsional strength of PC composite box-girder with corrugated steel webs under torsion combined with bending", Proceedings of the 23rd National Conference on Structural Engineering, Lanzhou, China. [In Chinese]
  6. Ding, Y., Jiang, K. and Liu, Y. (2012), "Nonlinear analysis for PC box-girder with corrugated steel webs under pure torsion", Thin-Wall. Struct., 51, 167-173. https://doi.org/10.1016/j.tws.2011.10.013.
  7. Ding, Y., Jiang, K., Shao, F. and Deng, A. (2013), "Experimental study on ultimate torsional strength of PC composite box-girder with corrugated steel webs under pure torsion", Struct. Eng. Mech., 46(4), 519-531. https://doi.org/10.12989/sem.2013.46.4.519.
  8. Feng, Y., Jiang, L. and Zhou, W. (2020), "Improved analytical method to investigate the dynamic characteristics of composite box beam with corrugated webs", Int. J. Steel Struct., 20(1), 194-206. https://doi.org/10.1007/s13296-019-00278-4.
  9. GB/T 50152-2012 (2012), Standard for test method of concrete structures, China Architecture and Building Press, Beijing, China. [In Chinese]
  10. Hamilton, R.W. (1993), "Behavior of welded girders with corrugated webs", Ph.D., Dissertation, University of Maine, Maine.
  11. He, J., Liu, Y., Xu, X. and Li, L. (2014), "Loading capacity evaluation of composite box girder with corrugated webs and steel tube slab", Struct. Eng. Mech., 50(4), 501-524. https://doi.org/10.12989/sem.2014.50.4.501.
  12. Heins, C.P. (1975), Bending and Torsional Design in Structural Members, Great Source Education Group Incorporated, Massachusetts, USA.
  13. Huang, J.Y. (1998), Torsion Analysis of Thin-Walled Structure Curved Girders and Obliquely Supported Box Girders, China Railway Press, Beijing, China. [In Chinese]
  14. Johnson, R. and Cafolla, J. (1997), "Corrugated webs in plate girders for bridges", Proc. Inst. Civ. Eng. Struct. and Build., 122(2), 157-164. https://doi.org/10.1680/istbu.1997.29305
  15. JTG D20-2017 (2017), Design specification for highway alignment, China Communication Press, Beijing, China. [In Chinese]
  16. Ko, H. J., Moon, J., Shin, Y.W. and Lee, H.E. (2013), "Non-linear analyses model for composite box-girders with corrugated steel webs under torsion", Steel Compos. Struct., 14(5), 409-429. https://doi.org/10.12989/scs.2013.14.5.409.
  17. Li, H.J. (2003), "Experimental study and analysis on torsion and distortion of box-girder with corrugated steel webs", Ph.D. Dissertation, Southeast University, Nanjing. [In Chinese]
  18. Li, H.J., Ye, J.S., Wan, S. and Wu, W.Q. (2002), "Influence of shear deformation on deflection of box girder with corrugated steel webs", J. Traffic Transp. Eng., 2(4), 17-20. [In Chinese] https://doi.org/10.3321/j.issn:1671-1637.2002.04.004
  19. Liu, S., Ding, H., Taerwe, L. and De Corte, W. (2019), "Shear Strength of Trapezoidal Corrugated Steel Webs for Horizontally Curved Girder Bridges", Appl. Sci., 9(9), 1942. https://doi.org/10.3390/app9091942.
  20. Lu, Y.Q. and Ji, L. (2018), "Behavior of optimized prestressed concrete composite box-girders with corrugated steel webs", Steel Compos. Struct., 26(2), 183-196. https://doi.org/10.12989/scs.2018.26.2.183.
  21. Ma, C., Liu, S.Z. and Wu, M.Q. (2018), "Matrix analysis of composite box girder with corrugated steel webs considering shear deformation and shear lag effect", China J. Highw. Transp., 31(3), 80-88. https://doi.org/10.19721/j.cnki.1001-7372.2018.03.009. [In Chinese]
  22. Mo, Y.L., Jeng, C.H. and Chang, Y. (2000), "Torsional behavior of prestressed concrete box-girder bridges with corrugated steel webs", Struct. J., 97(6), 849-859.
  23. Mo, Y. and Fan, Y.L. (2006), "Torsional design of hybrid concrete box girders", J. Bridge Eng., 11(3), 329-339. https://doi.org/10.1061/(ASCE)1084-0702(2006)11:3(329).
  24. Mo, Y., Jeng, C.H. and Krawinkler, H. (2003), "Experimental and analytical studies of innovative prestressed concrete box-girder bridges", Mater. Struct., 36(2), 99-107. https://doi.org/10.1007/BF02479523.
  25. Nakai, H. and Hong Yoo, C. (1988), Analysis and Design of Curved Steel Bridges, McGraw-Hill Book Company, New York, NY, USA.
  26. Nie, J.G., Li, F.X. and Fan, J.S. (2012), "Effective stiffness method for calculating deflection of corrugated web girder", Eng. Mech., 29(8), 71-79. https://doi.org/10.19721/j.cnki.1001-7372.2011.06.006. [In Chinese]
  27. PCTA (Prestressed Concrete Technology Association) (2005), Design and construction standards of composite bridge, Gihodo Shuppan Co. Ltd, Tokyo, Japan. [In Japanese]
  28. Qiao, P., Di, J. and Qin, F.J. (2018), "Warping torsional and distortional stress of composited box girder with corrugated steel webs", Math. Prob. Eng., 2018, 1-13. https://doi.org/10.1155/2018/7613231.
  29. Shen, K., Wan, S., Mo, Y., Song, A. and Li, X. (2018a), "Behavior of single-box multi-cell box-girders with corrugated steel webs under pure torsion. Part I: Experimental and numerical studies", Thin-Wall. Struct., 129, 542-557. https://doi.org/10.1016/j.tws.2017.10.038.
  30. Shen, K., Wan, S., Mo, Y., Jiang, Z. and Li, X. (2018b), "Behavior of single-box multi-cell box-girders with corrugated steel webs under pure torsion. Part II: Theoretical model and analysis", Thin-Wall. Struct., 129, 558-572. https://doi.org/10.1016/j.tws.2017.12.023.
  31. Vlasov, V.Z. (1961), Thin-Walled Elastic Beams, 2nd ed., Moscow, 1959, (English translation, Israel Program for Scientific Translations, Jerusalem) US Department of Commerce, Washington, USA.
  32. Wang, F. (2007), "Experimental study on mechanical behavior of composite box-girder with corrugated steel webs", Master Dissertation, Hunan University, Changsha. [In Chinese]
  33. Xu, D., Ni, Y.S. and Zhao, Y. (2015), "Analysis of corrugated steel web beam bridges using spatial grid modelling", Steel Compos. Struct., 18(4), 853-871. https://doi.org/10.12989/scs.2015.18.4.853.
  34. Zhou, W.B. and Yan, W.J. (2017), "Refined nonlinear finite element modelling towards ultimate bending moment calculation for concrete composite beams under negative moment", Thin-Wall. Struct., 116, 201-211. https://doi.org/10.1016/j.tws.2017.02.011.
  35. Zhou, M., Liu, Z., Zhang, J. and An, L. (2016a), "Deformation analysis of a non-prismatic beam with corrugated steel webs in the elastic stage", Thin-Wall. Struct., 109, 260-270. https://doi.org/10.1016/j.tws.2016.10.001.
  36. Zhou, M., Liu, Z., Zhang, J., An, L. and He, Z. (2016b), "Equivalent computational models and deflection calculation methods of box girders with corrugated steel webs", Eng. Struct., 127, 615-634. https://doi.org/10.1016/j.engstruct.2016.08.047.