Steel and Composite Structures

  • 제32권5호
  • /
  • Pages.657-670
  • /
  • 2019
  • /
  • 1229-9367(pISSN)
  • /
  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

A fiber beam element model for elastic-plastic analysis of girders with shear lag effects

  • Yan, Wu-Tong (School of Civil Engineering, Beijing Jiaotong University) ;
  • Han, Bing (School of Civil Engineering, Beijing Jiaotong University) ;
  • Zhu, Li (School of Civil Engineering, Beijing Jiaotong University) ;
  • Jiao, Yu-Ying (School of Civil Engineering, Beijing Jiaotong University) ;
  • Xie, Hui-Bing (School of Civil Engineering, Beijing Jiaotong University)
  • 투고 : 2019.04.17
  • 심사 : 2019.08.13
  • 발행 : 2019.09.10
⟨ 이전 논문 다음 논문 ⟩

초록

This paper proposes a one-dimensional fiber beam element model taking account of materially non-linear behavior, benefiting the highly efficient elastic-plastic analysis of girders with shear-lag effects. Based on the displacement-based fiber beam-column element, two additional degrees of freedom (DOFs) are added into the proposed model to consider the shear-lag warping deformations of the slabs. The new finite element (FE) formulations of the tangent stiffness matrix and resisting force vector are deduced with the variational principle of the minimum potential energy. Then the proposed element is implemented in the OpenSees computational framework as a newly developed element, and the full Newton iteration method is adopted for an iterative solution. The typical materially non-linear behaviors, including the cracking and crushing of concrete, as well as the plasticity of the reinforcement and steel girder, are all considered in the model. The proposed model is applied to several test cases under elastic or plastic loading states and compared with the solutions of theoretical models, tests, and shell/solid refined FE models. The results of these comparisons indicate the accuracy and applicability of the proposed model for the analysis of both concrete box girders and steel-concrete composite girders, under either elastic or plastic states.

키워드

과제정보

연구 과제 주관 기관 : Central Universities, National Natural Science Foundation of China, Science and Technology Foundation of Tsinghai Province, China Railway Corporation, Hebei Province

참고문헌

  1. ABAQUS (2014), ABAQUS Standard User's Manual, Version 6.14, Dassault Systemes Simulia Corp., RI, USA.
  2. Amadio, C., Fedrigo, C., Fragiacomo, M. and Macorini, L. (2004), "Experimental evaluation of effective width in steel-concrete composite beams", J. Constr. Steel. Res., 60(2), 199-220. https://doi.org/10.1016/j.jcsr.2003.08.007
  3. Bathe, K.J. (2014), Finite Element Procedures, (Second Edition), Prentice Hall, Upper Saddle River, NJ, USA.
  4. Boules, P.F., Mehanny, S.S.F. and Bakhoum, M.M. (2018), "Shear lag effects on wide U-section pre-stressed concrete light rail bridges", Struct. Eng. Mech., Int. J., 68(1), 67-80. https://doi.org/ 10.12989/sem.2018.68.1.067
  5. Cao, G.H. and Fang, Z. (2006), "Mechanical Behaviors Test of RC Continuous Box Girder with Wide Flange", China Journal of Highway and Transport, 19(5), 46-52. (in Chinese) https://doi.org/10.3321/j.issn:1001-7372.2006.05.009
  6. CEB-FIP (2010), Model Code 2010, First complete draft, vol. 1, International Federation for Structural Concrete (fib), Lausanne, Switzerland.
  7. Chen, J., Shen, S.L., Yin, Z.Y. and Horpibulsuk, S. (2014), "Closed-form solution for shear lag with derived flange deformation function", J. Constr. Steel. Res., 102, 104-110. https://doi.org/10.1016/j.jcsr.2014.07.003.
  8. Dezi, L., Gara, F. and Leoni, G. (2003), "Shear-lag effect in twingirder composite decks", Steel Compos. Struct., 3(2), 111-122. https://doi.org/10.12989/scs.2003.3.2.111
  9. Eurocode (2004), Design of Composite Steel and Concrete Structures. Part 1.1: General Rules and Rules for Buildings, European Committee for Standardization; Brussels, Belgium.
  10. Gandelli, E., Penati, M., Quaglini, V., Lomiento, G., Miglio, E. and Benzoni, G.M. (2019), "A novel OpenSees element for single curved surface sliding isolators", Soil Dyn. Earthq. Eng., 119, 433-453. https://doi.org/10.1016/j.soildyn.2018.01.044
  11. Gara, F., Leoni, G. and Dezi, L. (2009), "A beam finite element including shear lag effect for the time-dependent analysis of steel-concrete composite decks", Eng. Struct., 31(8), 1888-1902. https://doi.org/10.1016/j.engstruct.2009.03.017
  12. Hognestad, E., Hanson, N.W. and McHenry, D. (1955), "Concrete stress distribution in ultimate strength design", ACI J. Proceedings, 52(12), 455-480.
  13. JTG D60-2015 (2015), General specifications for design of highway bridges and culverts, Ministry of Transport of PRC, Beijing, China. [In Chinese]
  14. Lacki, P., Nawrot, J., Derlatka, A. and Winowiecka, J. (2019), "Numerical and experimental tests of steel-concrete composite beam with the connector made of top-hat profile", Compos. Struct., 211, 244-253. https://doi.org/10.1016/j.compstruct. 2018.12.035
  15. Lin, P., Fang, W.B., Yang, Z.J., Sun, L.X. and Ji, W. (2015), "Shear lag effect analysis of box girder bridge under prestressing effect", China J. Highway Transport, 28(5), 101-107. [In Chinese]
  16. Luo, Q.Z., Wu, Y.M., Tang, J. and Li, Q.S. (2002a), "Experimental studies on shear lag of box girders", Eng. Struct., 24(4), 469-477. https://doi.org/10.1016/S0141-0296(01)00113-4
  17. Luo, Q.Z., Tang, J., Li, Q.S. (2002b), "Finite segment method for shear lag analysis of cable-stayed bridges", J. Struct. Eng., 128(12), 1617-1622. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:12(1617)
  18. Luo, D., Zhang, Z. and Li, B. (2019), "Shear lag effect in steelconcrete composite beam in hogging moment", Steel Compos. Struct., Int. J., 31(1), 27-41. https://doi.org/10.12989/scs.2019.31.1.027
  19. Ma, Y., Ni, Y.S., Xu, D. and Li, J.K. (2017), "Space grid analysis method in modelling shear lag of cable-stayed bridge with corrugated steel webs", Steel Compos. Struct., Int. J., 24(5), 549-559. https://doi.org/10.12989/scs.2017.24.5.549
  20. Nie, J.G. and Tao, M.X. (2012), "Slab spatial composite effect in composite frame systems. I: Effective width for ultimate loading capacity", Eng. Struct., 38, 171-184. https://doi.org/10.1016/j. engstruct.2011.11.034
  21. Nie, J.G., Tao, M.X., Cai, C.S. and Chen, G. (2011), "Modeling and investigation of elasto-plastic behavior of steel-concrete composite frame systems", J. Constr. Steel. Res., 67(12), 1973-1984. https://doi.org/10.1016/j.jcsr.2011.06.016
  22. Reissner, E. (1946), "Analysis of shear lag in box beams by the principle of minimum potential energy", Q. Appl. Math., 4(3), 268-278. https://doi.org/10.1090/qam/17176
  23. Tao, M.X. and Nie, J.G. (2014), "Fiber beam-column model considering slab spatial composite effect for nonlinear analysis of composite frame systems", J. Struct. Eng., 140(1), 04013039. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000815
  24. Vojnic-Purcar, M., Prokic, A. and Besevic, M. (2019), "A numerical model for laminated composite thin-walled members with openings considering shear lag effect", Eng. Struct., 185, 392-399. https://doi.org/10.1016/j.engstruct.2019.01.142
  25. Wendner, R., Vorel, J., Smith, J., Hoover, C.G., Bazant, Z.P. and Cusatis, G. (2015), "Characterization of concrete failure behavior: a comprehensive experimental database for the calibration and validation of concrete models", Mater. Struct., 48(11), 3603-3626. https://doi.org/10.1617/s11527-014-0426-0
  26. Zhang, Y.H. and Lin, L.X. (2014), "Shear lag analysis of thinwalled box girders adopting additional deflection as generalized displacement", J. Eng. Mech., 104(4), 04014005. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000705
  27. Zhou, S.J. (2010), "Finite beam element considering shear-lag effect in box girder", J. Eng. Mech., 136(9), 1115-1122. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000156
  28. Zhou, G., Li, A., Li, J., Duan, M., Spencer, B.F. and Zhu, L. (2018), "Beam finite element including shear lag effect of extrawide concrete box girders", J. Bridge Eng., 23(11), 04018083. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001297
  29. Zhu, L. and Su, R.K.L. (2017), "Analytical solutions for composite beams with slip, shear-lag and time-dependent effects", Eng. Struct., 152, 559-578. https://doi.org/10.1016/j. engstruct.2017.08.071
  30. Zhu, L., Nie, J.G., Li, F.X. and Ji, W.Y. (2015), "Simplified analysis method accounting for shear-lag effect of steel-concrete composite decks", J. Constr. Steel. Res., 115, 62-80. https://doi.org/10.1016/j.jcsr.2015.08.020

피인용 문헌

  1. Research on numerical model for flexural behaviors analysis of precast concrete segmental box girders vol.219, 2019, https://doi.org/10.1016/j.engstruct.2020.110733