Structural Engineering and Mechanics

  • 제64권1호
  • /
  • Pages.11-21
  • /
  • 2017
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Hysteresis modelling of reinforced concrete columns under pure cyclic torsional loading

  • Mondal, Tarutal Ghosh (School of Civil Engineering, Purdue University) ;
  • Kothamuthyala, Sriharsha R. (Department of Civil Engineering, Indian Institute of Technology Hyderabad) ;
  • Prakash, S. Suriya (Department of Civil Engineering, Indian Institute of Technology Hyderabad)
  • 투고 : 2017.05.17
  • 심사 : 2017.06.10
  • 발행 : 2017.10.10
⟨ 이전 논문 다음 논문 ⟩

초록

It has been observed in the past that, the reinforced concrete (RC) bridge columns are very often subjected to torsional moment in addition to flexure and shear during seismic vibration. Ignoring torsion in the design can trigger unexpected shear failure of the columns (Farhey et al. 1993). Performance based seismic design is a popular design philosophy which calls for accurate prediction of the hysteresis behavior of structural elements to ensure safe and economical design under earthquake loading. However, very few investigations in the past focused on the development of analytical models to accurately predict the response of RC members under cyclic torsion. Previously developed hysteresis models are not readily applicable for torsional loading owing to significant pinching and stiffness degradation associated with torsion (Wang et al. 2014). The present study proposes an improved polygonal hysteresis model which can accurately predict the hysteretic behavior of RC circular and square columns under torsion. The primary curve is obtained from mechanics based softened truss model for torsion. The proposed model is validated with test data of two circular and two square columns. A good correlation is observed between the predicted and measured torque-twist behavior and dissipated energy.

키워드

과제정보

연구 과제 주관 기관 : SERB

참고문헌

  1. Aoyama, H. (1971), "Analysis on a school building damaged during the Tockachi-Oki earthquake", Proceedings of Kanto District Symposium, Arch. Inst. of Japan, Tokyo, Jan.
  2. Atalay, M.B. and Penzien, J. (1975), "The seismic behaviour of critical regions of reinforced concrete components influenced by moment, shear and axial force", Report No. UCB/EERC/75/19, University of California, Berkeley.
  3. Baber, T.T. and Noori, M.N. (1985), "Random vibration of degrading, pinching systems", J. Eng. Mech., 111(8), 1010-1026. https://doi.org/10.1061/(ASCE)0733-9399(1985)111:8(1010)
  4. Baber, T.T. and Noori, M.N. (1986), "Modeling general hysteresis behavior and random vibration applications", J. Vib. Acoust. Stress Reliab. Des., 108(4), 411-420. https://doi.org/10.1115/1.3269364
  5. Baber, T.T. and Wen, Y.K. (1981), "Random vibration of hysteretic degrading systems", J. Eng. Mech., 107(6), 1069-1087.
  6. Belarbi, A., Prakash, S.S. and Silva, P.F. (2010), "Incorporation of decoupled damage index models in the performance-based evaluation of RC circular and square bridge columns under combined loadings", ACI Special Publication-SP271, Vol. 271, 79-102.
  7. Bouc, R. (1967), "Forced vibration of mechanical systems with hysteresis", Proceedings of 4th conference on Nonlinear Oscillations (extended abstract).
  8. Clough, R.W. and Johnston, S.B. (1966), "Effects of stiffness degradation on earthquake ductility requirements", Proceedings of the 2nd Japan Earthquake Engineering Symposium, 227-232.
  9. Dowell, R.K., Seible, F. and Wilson, E.L. (1998), "Pivot hysteresis model for reinforced concrete members", ACI Struct. J., 95(5), 607-617.
  10. Farhey, D.N., Adin, M.A. and Yankelevsky, D.Z. (1993), "RC flat slab-column subassemblages under lateral loading", J. Struct. Eng., 119(6), 1903-1916. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:6(1903)
  11. Fukada, Y. (1969), "A study on the restoring force characteristics of reinforced concrete buildings", Proceedings of Kanto District Symposium, Arch. Inst. of Japan, Tokyo, Japan, No. 40. (in Japanese)
  12. Ganganagoudar, A.G., Mondal, T.G. and Prakash, S.S. (2016a), "Analytical and finite element studies on behaviour of FRP strengthened beams under torsion", Compos. Struct. J., 153, 876-885. https://doi.org/10.1016/j.compstruct.2016.07.014
  13. Ganganagoudar, A.G., Mondal, T.G. and Prakash, S.S. (2016b), "Improved softened membrane model for reinforced concrete circular bridge columns under torsion", J. Bridge Eng., ASCE, 21(7), 04016037. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000907
  14. Goodnight, J., Kowalsky, M. and Nau, J. (2013), "Effect of load history on performance limit states of circular bridge columns", J. Bridge Eng., ASCE, 18(12), 1383-1396. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000495
  15. Kunnath, S.K., Mander, J.B. and Fang, L. (1997), "Parameter identification for degrading and pinched hysteretic structural concrete systems", Eng. Struct., 19(3), 224-232. https://doi.org/10.1016/S0141-0296(96)00058-2
  16. Mansour, M. and Hsu, T. (2005), "Behaviour of reinforced concrete elements under cyclic shear. I: Experiments", J. Struct. Eng., ASCE, 131(1), 44-53. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:1(44)
  17. Mo, Y.L. and Yang, R.Y. (1996), "Response of reinforced/ prestressed concrete box structures to dynamically applied torsion", Nucl. Eng. Des., 165(1), 25-41. https://doi.org/10.1016/0029-5493(96)01187-9
  18. Mondal, T.G. and Prakash, S.S. (2015a), "Nonlinear finite element analysis of RC bridge columns under torsion with and without axial compression", J. Bridge Eng., 21(2), 04015037.
  19. Mondal, T.G. and Prakash, S.S. (2015b), "Effect of tension stiffening on the behaviour of reinforced concrete circular columns under torsion", Eng. Struct., 92(1), 186-195. https://doi.org/10.1016/j.engstruct.2015.03.018
  20. Mondal, T.G. and Prakash, S.S. (2015c), "Effect of tension stiffening on the behaviour of square RC columns under torsion", Struct. Eng. Mech., 54(3), 501-520. https://doi.org/10.12989/sem.2015.54.3.501
  21. Nakata, S., Sproul, T. and Penzien, J. (1978), "Mathematical modeling of hysteresis loops for reinforced concrete columns", Report No. UCB/EERC/78/11, University of California, Berkeley, California.
  22. Prakash, S., Belarbi, A. and You, Y.M. (2010), "Seismic performance of circular RC columns subjected to axial force, bending, and torsion with low and moderate shear", Eng. Struct., 32(1), 46-59. https://doi.org/10.1016/j.engstruct.2009.08.014
  23. Prakash, S.S. (2009), "Seismic behavior of RC circular columns under combined loading including torsion.", PhD Thesis, Thesis number: T 9562, Department of Civil Engineering, Missouri University of Science and Technology, Missouri, USA.
  24. Prakash, S.S. and Belarbi, A. (2009), "Bending-shear-torsion interaction features of RC circular bridge columns-An experimental study", Special Publication-SP265, Vol. 265, 427-454.
  25. Prakash, S.S. and Belarbi, A. (2010), "Towards damage-based design approach for RC bridge columns under combined loadings using damage index models", J. Earthq. Eng., 14(3), 363-389. https://doi.org/10.1080/13632460903214695
  26. Prakash, S.S., Li, Q. and Belarbi, A. (2012), "Behaviour of circular and square RC bridge columns under combined loading including torsion", ACI Struct. J., 109(3), 317.
  27. Rahal, K.L. and Collins, M.P. (1995), "Analysis of sections subjected to combined shear and torsion-a theoretical model", ACI Struct. J., 92, 459-459.
  28. Sengupta, P. and Li, B. (2013), "Modified Bouc-Wen model for hysteresis behavior of RC beam-column joints with limited transverse reinforcement", Eng. Struct., 46, 392-406. https://doi.org/10.1016/j.engstruct.2012.08.003
  29. Takeda, T., Sozen, M.A. and Nielsen, N.N. (1970), "Reinforced concrete response to simulated earthquakes", J. Struct. Div., ASCE, 96, 2557-2573.
  30. Tirasit, P. and Kawashima, K. (2007), "Seismic performance of square reinforced concrete columns under combined cyclic flexural and torsional loadings", J. Earthq. Eng., 11, 425-452. https://doi.org/10.1080/13632460601031813
  31. Wang, P., Han, Q. and Du, X. (2014), "Seismic performance of circular RC bridge columns with flexure-torsion interaction", Soil Dyn. Earthq. Eng., 66, 13-30. https://doi.org/10.1016/j.soildyn.2014.06.028