Advances in concrete construction

  • 제8권4호
  • /
  • Pages.285-294
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  • 2019
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  • 2287-5301(pISSN)
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  • 2287-531X(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

A parametric shear constitutive law for reinforced concrete deep beams based on multiple linear regression model

  • 투고 : 2018.09.19
  • 심사 : 2019.09.15
  • 발행 : 2019.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

In the present paper, the fiber theory has been employed to model the reinforced concrete (RC) deep beams (DBs) considering the reinforcing steel bar-concrete interaction. To simulate numerically the behavior of materials, the uniaxial materials' constitutive laws have been employed for reinforcements and concrete and the bond stress-slip between the reinforcing steel bars and surrounding concrete are taken into account. Because of the high sensitivity of DBs to shear deformations, the Timoshenko beam theory has been applied. The shear stress-strain (S-SS) relationship has been defined by the modified compression field theory (MCFT) model. By modeling about 300 RC panels and employing a produced numerical database, a study has been carried out to show the sensitivity of the MCFT model. This is performed based on the multiple linear regression (MLR) models. The results of this research also illustrate how different parameters such as characteristic compressive strength of concrete, yield strength of reinforcements and the percentages of reinforcements in different directions get involved in the shear behavior of RC panels without applying complex theories. Based on the results obtained from the analysis of the MCFT S-SS model, a relatively simplified numerical S-SS model has been proposed. Application of the proposed S-SS model in modeling and analyzing the considered samples indicates that there is a good agreement between the simulated and the experimental test results. The comparison between the proposed S-SS model and the MCFT model indicates that in addition to the advantage of better accuracy, the main advantage of the proposed method is simplicity in application.

키워드

참고문헌

  1. ACI (American Concrete Institute) (2014), Building Code Requirements for Structural Concrete and Commentary, ACI 318M-14, International Organization for Standardization, USA.
  2. Anderson, M., Lehman, D. and Stanton, J. (2008), "A cyclic shear stress-strain model for joints without transverse reinforcement", Eng. Struct., 30(4), 941-954. https://doi.org/10.1016/j.engstruct.2007.02.005
  3. Belarbi, A. and Hsu, T.T. (1995), "Constitutive laws of softened concrete in biaxial tension compression", Struct. J., 92(5), 562-573.
  4. Bentz, E. and Collins M.P. (2001), "Response-2000, Shell-2000, Triax-2000, Membrane-2000 user manual", University of Toronto, Toronto, Canada.
  5. Choubey, R.K., Kumar, S. and Rao, M.C. (2014), "Effect of shear-span/depth ratio on cohesive crack and double-K fracture parameters of concrete", Adv. Concrete Constr., 2(3), 229-247. https://doi.org/10.12989/acc.2014.2.3.229
  6. Eligehausen, R., Popov, E.P. and Bertero, V.V. (1982), "Local bond stress-slip relationships of deformed bars under generalized excitations", Proceedings of the seventh European Conference on Earthquake Engineering, 4, Techn. Chamber of Greece, Athens.
  7. Filippou, F.C., Bertero, V.V. and Popov, E.P. (1983), "Effects of bond deterioration on hysteretic behavior of reinforced concrete joints", Earthquake Engineering Research Center, Report No. EERC 83-19, University of California, Berkeley.
  8. Gan, Y. (2000), "Bond stress and slip modeling in nonlinear finite element analysis of reinforced concrete structures", MSc. Dissertation, Graduate Department of Civil Engineering University of Toronto, Canada.
  9. Gil-Martin, L.M., Hernandez-Montes, E., Aschheim, M.A. and Pantazopoulou, S.J. (2011), "A simpler compression field theory for structural concrete", Studi e Ricerche-Politecnico di Milano, Scuola di Specializzazione in Costruzioni in Cemento Armato, 31, 11-41.
  10. Giuffre, A. and Pinto, P.E. (1970), "Il comportamento del cemento armatoper sollecitazioni cicliche di forte intensita", Giornale del Genio Civile, 5(1), 391-408.
  11. Hars, E., Niketic, E. and Ruiz, M.F. (2018), "Response of RC panels accounting for crack development and its interaction with rebars", Mag. Concrete Res., 70(8), 410-432. https://doi.org/10.1680/jmacr.17.00077
  12. Hashemi, S.S., and Vaghefi, M. (2015), "Investigation of bond slip effect on the PM interaction surface of RC columns under biaxial bending", Scientia Iranica. Transaction A, Civil Engineering, 22(2), 388.
  13. Hashemi, S.SH., Chargoad, H.Z. and Vaghefi, M. (2016), "A new approach for numerical analysis of the RC shear walls based on Timoshenko beam theory combined with bar-concrete interaction", J. Rehab. Civil Eng., 4(2), 79-92.
  14. Hu, O.E. and Tan, K.H. (2007), "Large reinforced-concrete deep beams with web openings: test and strut-and-tie results", Mag. Concrete Res., 59(6), 423-434. https://doi.org/10.1680/macr.2007.59.6.423
  15. Limkatanyu, S. and Spacone, E. (2002), "Reinforced concrete frame element with bond interfaces. I: Displacement-based, force-based, and mixed formulations", J. Struct. Eng., 128(3), 346-355. https://doi.org/10.1061/(asce)0733-9445(2002)128:3(346)
  16. Lu, W.Y., Hwang, S.J. and Lin, I.J. (2010), "Deflection prediction for reinforced concrete deep beams", Comput. Concrete, 7(1), 1-16. https://doi.org/10.12989/cac.2010.7.1.001
  17. Malm, R. and Holmgren, J. (2008a), "Cracking in deep beams owing to shear loading, Part 1: Experimental study and assessment", Mag. Concrete Res., 60(5), 371-379. https://doi.org/10.1680/macr.2008.60.5.371
  18. Malm, R. and Holmgren, J. (2008b), "Cracking in deep beams owing to shear loading, Part 2: Non-linear analysis", Mag. Concrete Res., 60(5), 381-388. https://doi.org/10.1680/macr.2008.60.5.381
  19. MathWorks, MATLAB (2016), The Language of Technical Computing, Version 8.3.0.532 (R2014a).
  20. Menegotto, M. and Pinto, P.E. (1973), "Method of analysis for cyclically loaded RC plane frames including changes in geometry and non-elastic behavior of elements under combined normal force and bending", Proc. IABSE Symposium on Resistance and Ultimate Deformability of Structures Acted on by Well-defined Repeated Loads, International Association for Bridge and Structural Engineering. Zurich, Switzerland.
  21. Minitab 17 Statistical Software (2010), Computer Software, State College, Minitab, Inc., PA, U.S.A.
  22. Niranjan, B.R. and Patil, S.S. (2012), "Analysis of RC deep beam by finite element method", Int. J. Modern Eng. Res., 2(6), 4664-4667.
  23. Ors, D.M.F., Okail, H.O. and Zaher, A.H. (2016) "Modeling of shear deficient beams by the mixed smeared/discrete cracking approach", Hous. Build. Nat. Res. Center J., 12, 123-136.
  24. Pozrikidis, C. (2005), Introduction to Finite and Spectral Element Methods using MATLAB, Chapman & Hall/CRC Publisher, USA.
  25. Ramadan, A.I. and Abd-Elshafy A.G.A. (2017), "Statistical prediction equations for RC deep beam without stirrups", International Congress and Exhibition Sustainable Civil Infrastructures: Innovative Infrastructure Geotechnology, Springer, Cham.
  26. Ritter, W. (1899), "Hennebiques construction method", Schweizerische Bauzeitung, 17, 41-43.
  27. Salamy, M.R., Kobayashi, H. and Unjoh, S. (2005), "Experimental and analytical study on RC deep beams", Asian J. Civil Eng., 6(5), 409-421.
  28. Sanad, A. and Saka, M.P. (2001) "Prediction of ultimate shear strength of reinforced concrete deep beams using neural networks", J. Struct. Eng., 127(7), 818-828. https://doi.org/10.1061/(asce)0733-9445(2001)127:7(818)
  29. Scott, B.D., Park, R. and Priestley, M.J.N (1982), "Stress-strain behavior of concrete confined by overlapping hoops at low and high strain rates", J. Proc., 79(1), 13-27.
  30. Senthil, K., Gupta, A. and Singh, S.P., (2018), "Computation of stress-deformation of deep beam with openings using finite element method", Adv. Concrete Constr., 6(3), 245-268. https://doi.org/10.12989/ACC.2018.6.3.245
  31. Vecchio, F.J. (2000), "Analysis of shear-critical reinforced concrete beams", ACI, Struct. J., 97(1), 102-110.
  32. Vecchio, F.J. and Collins, M.P. (1986), "The modified compression-field theory for reinforced concrete elements subjected to shear", J. Proc., 83(2), 219-231.
  33. Yang, K.H. and Ashour, A.F. (2008), "Code modeling of reinforced-concrete deep beams", Mag. Concrete Res., 60(6), 441-454. https://doi.org/10.1680/macr.2008.60.6.441
  34. Zhang, N. and Tan, K.H. (2007), "Size effect in RC deep beams: Experimental investigation and STM verification", Eng. Struct., 29(12), 3241-3254. https://doi.org/10.1016/j.engstruct.2007.10.005