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Effect of plastic rotation on the concrete contribution to shear strength of RC beams

  • Aydemir, Cem (Department of Civil Engineering, Istanbul Aydin University) ;
  • Aydemir, Muberra Eser (Department of Civil Engineering, Istanbul Aydin University) ;
  • Arslan, Guray (Department of Civil Engineering, Yildiz Technical University)
  • Received : 2020.09.18
  • Accepted : 2021.04.28
  • Published : 2021.06.25

Abstract

This paper provides an analytical model to predict the concrete contribution to shear strength of reinforced concrete (RC) beams that fail in flexure. In the RC members subjected to cyclic loading, the stiffness and hysteretic energy dissipation decreases with diagonal web cracking in the plastic hinge region. The proposed method takes into account plastic rotation in the plastic hinge region by means of critical shear crack theory. To verify the concrete contribution to shear strength predicted by the proposed method, six normal- and high-strength RC beams having various shear span-to-effective depth ratios are tested under cyclic loading. The predictions by the proposed equation and various researchers' equations are compared to the test results. It is found that the proposed method is in good agreement with the test results.

Keywords

Acknowledgement

This study is supported by Istanbul Aydin University Scientific Research Projects Center with the project number of BAP2015-01. The authors would like to thank Prof. Dr. A.Metin GER (KHU), Istanbul Aydin University Structural and Earthquake Engineering Laboratory staff and UTEST for their valuable contributions especially during experimental process.

References

  1. Acun, B. and Sucuoglu, H. (2012), "Energy dissipation capacity of reinforced concrete columns under cyclic displacements", ACI Struct. J., 109(4), 531-540.
  2. Arslan, G. (2005), "Shear strength of reinforced concrete frame members under cyclic loads", Ph.D. Thesis, Yildiz Technical University, Istanbul, Turkey.
  3. Arslan, G. and Kiristioglu I. (2013), "Shear degradation of reinforced concrete beams", Eur. J. Environ. Civil Eng., 17(7), 54-563. https://doi.org/10.1080/19648189.2013.799442.
  4. Aschheim, M. and Moehle, J.P. (1992), "Shear strength and deformability of RC bridge columns subjected to inelastic displacements", UCB/EERC 92/04, University of California, Berkeley.
  5. Aydemir, C. and Eser Aydemir, M. (2020), "Experimental research on reversing and nonreversing plastic-hinge behavior for RC beams", J. Struct. Eng., 146(7), 04020135. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002688.
  6. Biskinis, D.E., Roupakias, G.K. and Fardis, M.N. (2004), "Degradation of shear strength of RC members with inelastic cyclic displacements", ACI Struct. J., 101(6), 773-783.
  7. Bousias, S.N., Verzeletti, G., Fardis, M.N. and Guiterrez, E, (1995), "Load path effects in column biaxial bending with axial force", J. Struct. Eng., ASCE, 121(5), 596-605. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:5(596).
  8. Collins, M.P., Bentz, E.C., Sherwood, E.G. and Xie, L. (2008), "An adequate theory for the shear strength of reinforced concrete structures", Mag. Concrete Res., 60(9), 635-650. https://doi.org/10.1680/macr.2008.60.9.635.
  9. De Domenico, D. and Ricciardi, G. (2020), "A stress field approach for the shear capacity of RC beams with stirrups", Struct. Eng. Mech., 73(5), 515-527. https://doi.org/10.12989/sem.2020.73.5.515.
  10. Elwood, K.J. and Moehle, J.P. (2005), "Axial capacity model for shear-damaged columns", ACI Struct. J., 102(4), 578-587. https://doi.org/10.14359/14562.
  11. FEMA 356 (1992), Concrete Chapter, California.
  12. Keskin, R.S.O. (2017), "Predicting shear strength of SFRC slender beams without stirrups using an ANN model", Struct. Eng. Mech., 61(5), 605-615. http://doi.org/10.12989/sem.2017.61.5.605.
  13. Kowalsky, M.J. and Priestley, M.J.N. (2000), "Improved analytical model for shear strength of circular reinforced concrete columns in seismic regions", ACI Struct. J., 97(3), 388-396.
  14. Lee, J.Y. and Watanabe, F. (2003), "Shear deterioration of reinforced concrete beams subjected to reversed cyclic loading", ACI Struct. J., 100(4), 480-489.
  15. Ma, S.Y., Bertero, V. and Popov, E. (1976), "Experimental and analytical studies on the hysteretic behaviour of reinforced concrete rectangular and t-beams", Tech. Rep., UBC/EERC 76-2, University of California, Berkeley.
  16. MacGregor, G.J. (1993) "Design of slender concrete columns revisited", ACI Struct. J., 90, 302-309.
  17. Moehle, J., Lynn, A., Elwood, K. and Sezen, H. (2001), "Gravity load collapse of building frames during earthquakes", PEER Report, 2nd U.S.-Japan Workshop on Performance-Based Design Methodology for Reinforced Concrete Building Structures, PEER, Richmond, California.
  18. Mostafaei, H., Vecchio, F.J. and Kabeyasawa, T. (2009), "Deformation capacity of reinforced concrete columns", ACI Struct. J., 106(2), 17-195. http://doi.org/10.14359/56357.
  19. Muttoni, A. and Fernandez-Ruiz, M. (2008), "Shear strength of members without transverse reinforcement as function of critical shear crack width", ACI Struct. J., 105(2), 163-172. http://doi.org/10.14359/19731.
  20. Olalusi, O.B. (2019), "Present state of Eurocode 2 variable strut inclination method for shear design and possible improvement", Struct., 19, 48-57. https://doi.org/10.1016/j.istruc.2018.11.016.
  21. Park, H.G., Yu, E.J. and Choi, K.K. (2012), "Shear-strength degradation model for RC columns subjected to cyclic loading", Eng. Struct., 34, 187-197. https://doi.org/10.1016/j.engstruct.2011.08.041.
  22. Paulay, T. and Priestley, M.N.J. (1992), Seismic Design of Reinforced Concrete and Masonry Buildings, John Wiley & Sons, Inc., New York.
  23. Perez, B.M. and Pantazopoulou, S.J. (1998), "Mechanics of concrete participation in cyclic shear resistance of RC", J. Struct. Eng., 124(6), 633-641. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:6(633).
  24. Priestley, M.J.N. (2000), "Performance-based seismic design", Proceedings of the 12th WCEE, Auckland.
  25. Priestley, M.J.N., Verma, R. and Xiao, Y. (1994), "Seismic shear strength of reinforced concrete columns", J. Struct. Eng., 120(8), 2310-2329. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:8(2310).
  26. Sezen, H. (2008), "Shear deformation model for reinforced concrete columns", Struct. Eng. Mech., 28(1), 39-52. http://doi.org/10.12989/sem.2008.28.1.039.
  27. Sezen, H. and Moehle, J.P. (2004), "Shear strength model for lightly reinforced concrete columns", J. Struct. Eng., 130(11): 1692-1703. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:11(1692).
  28. Vecchio, F.J. and Collins, M.P. (1986), "The modified compression-field theory for reinforced concrete elements subjected to shear", ACI Struct. J., 83(2), 219-231.
  29. Zimos, D.K., Mergos, P.E. and Kappos, A.J. (2018), "Modelling of R/C members accounting for shear failure localisation: Hysteretic shear model", Earthq. Eng. Struct. Dyn., 47, 1722-1741. https://doi.org/10.1002/eqe.3037.