Steel and Composite Structures

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Long-term behavior of prestressed concrete beam with corrugated steel web under sustained load

  • Motlagh, Hamid Reza Ebrahimi (Department of Civil and Environmental Engineering, Amirkabir University of Technology (Tehran Polytechnic)) ;
  • Rahai, Alireza (Department of Civil and Environmental Engineering, Amirkabir University of Technology (Tehran Polytechnic))
  • Received : 2021.09.04
  • Accepted : 2022.04.18
  • Published : 2022.06.25
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Abstract

This paper proposes a method to predict the deflection of prestressed concrete (PC) beams with corrugated steel web (CSW) under constant load concerning time-dependent variation in concrete material. Over time, the top and bottom concrete slabs subjected to asymmetric compression experience shrinkage and creep deformations. Here, the classical Euler-Bernoulli beam theory assumption that the plane sections remain plane is not valid due to shear deformation of CSW. Therefore, this study presents a method based on the first-order shear deformation to find the long-term deflection of the composite beams under bending by considering time effects. Two experimental prestressed beams of this type were monitored under their self-weight over time, and the theoretical results were compared with those data. Additionally, 3D analytical models of the experimental beams were used according to material properties, and the results were compared with two previous cases. There was good consistency between the analytical and numerical results with low error, which increased by wave radius. It is concluded that the proposed method could reliably be used for design purposes.

Keywords

Acknowledgement

The authors received no financial support for the research, authorship, and publication of this article.

References

  1. ACI 209 (2008), ACI 209.2R-08 Guide for Modeling and Calculating Shrinkage and Creep in Hardened Concrete, Farmington Hills, MI.
  2. Allen, H.G. (1969), Analysis and Design of Structural Sandwich Panel, Pergamon press, London.
  3. Anami, K. and Sause, R. (2005), "Fatigue of web-flange weld of corrugated web girders: 2. Analytical evaluation of fatigue strength of corrugated web-flange weld", Int. J. Fatigue, 27(4), 383-393. https://doi.org/10.1016/j.ijfatigue.2004.08.007.
  4. Bariant, J.F., Utsunomiya, T. and Watanabe, E. (2006), "Elastoplastic analysis of PC girder with corrugated steel web by an efficient beam theory", Struct. Eng. Earthq. Eng., 23(2), 257s-268s. https://doi.org/10.2208/jsceseee.23.257s.
  5. Bazant, Z.P. (1972), "Prediction of concrete creep effects using age-adjusted modulus method", J. Amer. Concrete Institute, 69, 212-217. https://doi.org/10.14359/11265.
  6. Briassoulis, D. (1986), "Equivalent orthotropic properties of corrugated sheets", Comput. Struct., 23(2). 129-138. https://doi.org/10.1016/0045-7949(86)90207-5.
  7. Carlsson, L.A. and Kardomateas, G.A. (2011), Structural and Failure Mechanics of Sandwich Composites, Springer, Georgia,USA.
  8. CEB-FIP (2013), Fib Model Code for Concrete Structures 2010, federation internationale du beton, Lausanne, Switzerland.
  9. Chan, C.L., Khalid, Y.A., Sahari, B.B. and Hamouda, A.M.S. (2002), "Finite element analysis of corrugated web beams under bending", J. Construct. Steel Research, 58(11), 1391-1406. https://doi.org/10.1016/S0143-974X(01)00075-X.
  10. Chen, X.C., Bai, Z.Z., Au, F.T.K. and Zeng, Y. (2015), "An extended sandwich theory for prestressed concrete bridges with corrugated steel web(s)", International Association for Bridge and Structural Engineering Conf. Elegance in Structures, 104, 270-271.
  11. Chen, X.C., Pandey, M., Bai, Z.Z. and Au, F.T.K. (2017), "Longtrm behavior of prestressed concrete bridges with corrugated steel webs", J. Bridge Eng., 22(8), 04017040. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001074.
  12. Dassault Systemes (2017), ABAQUS/CAE, , Simulia Corp.
  13. Driver, R.G., Abbas, H.H. and Sause, R. (2006), "Shear Behavior of Corrugated Web Bridge Girders", J. Struct. Eng., 132(2), 195-203. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:2(195).
  14. Ebrahimi Motlagh, H.R. and Rahai, A. (2022), "Long-term behavior of a prestressed concrete bridge with corrugated steel webs", J. Bridge Eng., 27(1), 05021016. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001801.
  15. Elamary, A., Ahmed, M.M. and Mohmoud, A.M. (2017), "Flexural behaviour and capacity of reinforced concrete-steel composite beams with corrugated web and top steel flange", Eng. Struct., 135, 136-148. https://doi.org/10.1016/j.engstruct.2017.01.002.
  16. Elgaaly, M., Hamilton, R.W. and Seshadri, A. (1996), "Shear strength of beams with corrugated webs", J. Struct. Eng., 122(4), 390-398. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:4(390).
  17. Elgaaly, M., Seshadri, A. and Hamilton, R.W. (1997), "Bending strength of steel beams with corrugated webs", J. Struct. Eng., 123(6), 772-782. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:6(772).
  18. Fernandez Ruiz, M., Muttoni, A. and G. Gambarova, P. (2007), "Relationship between nonlinear creep and cracking of concrete under uniaxial compression", J. Adv. Concrete Technol., 5(3), 383-393. https://doi.org/10.3151/jact.5.383.
  19. Frostig, Y. (2009), "Elastica of sandwich panels with a transversely flexible core-A high-order theory approach", Int. J. Solids Struct., 46(10), 2043-2059. https://doi.org/10.1016/j.ijsolstr.2008.05.007.
  20. He, J., Liu, Y., Chen, A., Wang, D. and Yoda, T. (2014), "Bending behavior of concrete-encased composite I-girder with corrugated steel web", Thin-Wall. Struct., 74, 70-84. https://doi.org/10.1016/j.tws.2013.08.003.
  21. He, J., Liu, Y., Chen, A. and Yoda, T. (2012), "Mechanical behavior and analysis of composite bridges with corrugated steel webs: State-of-the-art", Int. J. Steel Struct., 12(3), 321-338. https://doi.org/10.1007/s13296-012-3003-9.
  22. He, J., Liu, Y., Chen, A. and Yoda, T. (2012), "Shear behavior of partially encased composite I-girder with corrugated steel web: Experimental study", J. Construct. Steel Res., 77, 193-209. https://doi.org/10.1016/j.jcsr.2012.05.005
  23. He, J., Liu, Y., Wang, S., Xin, H., Chen, H. and Ma, C. (2019), "Experimental study on structural performance of prefabricated composite box girder with corrugated webs and steel tube slab", J. Bridge Eng., 24(6): 04019047. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001405
  24. He, J., Wang, S., Liu, Y., Lyu, Z. and Li, C. (2017), "Mechanical behavior of a partially encased composite girder with corrugated steel web: Interaction of shear and bending", Eng., 3(6), 806-816. https://doi.org/10.1016/j.eng.2017.11.005.
  25. Huang, L., Hikosaka, H. and Komine, K. (2004), "Simulation of accordion effect in corrugated steel web with concrete flanges", Comput. Struct., 82(23), 2061-2069. https://doi.org/10.1016/j.compstruc.2003.07.010.
  26. Ibrahim, S.A., El-Dakhakhni, W.W. and Elgaaly, M. (2006), "Fatigue of corrugated-web plate girders: Experimental study", J. Struct. Eng., 132(9), 1371-1380. doi:10.1061/(ASCE)0733-9445(2006)132:9(1371).
  27. Ikeda, H., Ashiduka, K., Ichinomiya, T., Okimi, Y., Yamamoto, T. and Kano, M. (2002), "A study on design method of shear buckling and bending moment", Proc., 1st fib Congress.
  28. Jiang, R.J., Au, F.T.K. and Xiao, Y.F. (2015), "Prestressed concrete girder bridges with corrugated steel webs: Review", J. Struct. Eng., 141(2), 04014108. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001040.
  29. Johnson, R.P., Cafolla, J. and Bernard, C. (1997), "Corrugated webs in plate girders for bridges", Struct. Build., 122(2), 157- 164. https://doi.org/10.1680/istbu.1997.29305
  30. Kato, H. and Nishimura, N. (2004), "Practical analysis methods for continuous girder and cable stayed bridges composed of beams with corrugated steel webs", Struct. Eng. Earthq. Eng., 21(2), 207s-222s. https://doi.org/10.2208/jsceseee.21.207s.
  31. Khalid, Y.A., Chan, C.L., Sahari, B.B. and Hamouda, A.M.S. (2004), "Bending behaviour of corrugated web beams", J. Mater. Proc. Technol., 150(3), 242-254. https://doi.org/10.1016/j.jmatprotec.2004.02.042.
  32. Kheirikhah, M.M., Khalili, S.M.R. and Fard, K.M. (2012), "Analytical solution for bending analysis of soft-core composite sandwich plates using improved high-order theory", Struct. Eng. Mech., 44(1), 15-34. https://doi.org/10.12989/sem.2012.44.1.015.
  33. Kim, K.S., and Lee, D.H. (2011), "Flexural behavior of prestressed composite beams with corrugated web: Part II. Experiment and verification", Compos. Part B: Eng., 42(6), 1617-1629. https://doi.org/10.1016/j.compositesb.2011.04.019.
  34. Kim, K.S., Lee, D.H., Choi, S.M., Choi, Y.H. and Jung, S.H. (2011), "Flexural behavior of prestressed composite beams with corrugated web: Part I. Development and analysis", Compos. Part B: Eng., 42(6), 1603-1616. https://doi.org/10.1016/j.compositesb.2011.04.020.
  35. Kovesdi, B. and Dunai, L. (2014), "Fatigue life of girders with trapezoidally corrugated webs: An experimental study", Int. J. Fatigue, 64, 22-32. https://doi.org/10.1016/j.ijfatigue.2014.02.017.
  36. Li, G. and Zhang, J. (2011), "Design innovation of large-span prestressed concrete box girder bridge with corrugated steel web", Adv. Mater. Res., 243-249, 1682-1688. https://doi.org/10.4028/www.scientific.net/AMR.243-249.1682.
  37. Machimdamrong, C., Watanabe, E. and Utsunomiya, T. (2003), "An extended elastic shear deformable beam theory and its application to corrugated steel web girder", J. Struct. Eng., 49A, 29-38.
  38. Machimdamrong, C., Watanabe, E. and Utsunomiya, T. (2004), "Analysis of corrugated steel web girders by an efficient beam bending theory", Struct. Eng./Earthq. Eng., 21(2), 131s-142s. https://doi.org/10.2208/jsceseee.21.131s.
  39. Mo, Y.L., Jeng, C.H. and Krawinkler, H. (2003), "Experimental and analytical studies of innovative prestressed concrete boxgirder bridges", Mater. Struct., 36(2), 99-107. https://doi.org/10.1007/BF02479523.
  40. Moon, J., Ko, H.J., Sung, I. and Lee, H.E. (2015), "Natural frequency of a composite girder with corrugated steel web", Steel Compos. Struct., 18(1), 255-271. http://doi.org/10.12989/scs.2015.18.1.255.
  41. Rezaiee-Pajand, M., Shahabian, F. and Tavakoli, F.H. (2012), "A new higher-order triangular plate bending element for the analysis of laminated composite and sandwich plates", Struct. Eng. Mech., 43(2), 253-271. https://doi.org/10.12989/sem.2012.43.2.253.
  42. Romeijn, A., Sarkhosh, R. and de Hoop, H. (2009), "Basic parametric study on corrugated web girders with cut outs", J. Construct. Steel Res., 65(2), 395-407. https://doi.org/10.1016/j.jcsr.2008.02.006.
  43. Rosignoli, M. (1999), "Prestressed concrete box girder bridges with folded steel plate webs", Struct. Build., 134(1), 77-85. https://doi.org/10.1680/istbu.1999.31255.
  44. Rusch, H. (1960), "Researches toward a general flexural theory for structural concrete", J. Amer. Constitute, 57(1), 1-28.
  45. Samanta, A. and Mukhopadhyay, M. (1999), "Finite element static and dynamic analysis of folded plates", Eng. Struct., 21(3), 277-287. https://doi.org/10.1016/S0141-0296(97)90172-3.
  46. Sause, R., Abbas, H.H., Driver, R.G., Anami, K. and Fisher, J.W. (2006), "Fatigue life of girders with trapezoidal corrugated webs", J. Struct. Eng., 132(7), 1070-1078. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:7(1070).
  47. Sause, R. and Braxtan, T.N. (2011), "Shear strength of trapezoidal corrugated steel webs", J. Construct. Steel Res., 67(2), 223-236. https://doi.org/10.1016/j.jcsr.2010.08.004.
  48. Sayed-Ahmed, E.Y. (2007), "Design aspects of steel I-girder with corrugated steel webs", Electron. J. Struct. Eng., 7, 27-40. https://doi.org/10.56748/ejse.772
  49. Shiratani, H., Sakashita, K., Obi, H. and Fujikura, S. (2002), "Behavior of corrugated steel web girder around middle support", Proc., 1st fib Congress, Section 5: Composite Structures.
  50. Tasevski, D., Fernandez Ruiz, M. and Muttoni, A. (2018), "Compressive strength and deformation capacity of concrete under sustained loading and low stress rates", J. Adv. Concrete Technol., 16(8), 396-415. https://doi.org/10.3151/jact.16.396.
  51. Yi, J., Gil, H., Youm, K. and Lee, H. (2008), "Interactive shear buckling behavior of trapezoidally corrugated steel webs", Eng. Struct., 30(6), 1659-1666. https://doi.org/10.1016/j.engstruct.2007.11.009.
  52. Zhan, Y., Liu, F., Ma Zhongguo, J., Zhang, Z., Duan, Z. and Song, R. (2019), "Comparison of long-term behavior between prestressed concrete and corrugated steel web bridges", Steel Compos. Struct., 30(6), 535-550. https://doi.org/10.12989/SCS.2019.30.6.535.
  53. Zhou, M., Liu, Z., Zhang, J., An, L. and He, Z. (2016), "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