Structural Engineering and Mechanics

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Determination of inclination of strut and shear strength using variable angle truss model for shear-critical RC beams

  • Li, Bing (School of Civil and Environment Engineering, Nanyang Technological University) ;
  • Tran, Cao Thanh Ngoc (Department of Civil Engineering, International University, Vietnam National University)
  • Received : 2010.09.07
  • Accepted : 2012.01.28
  • Published : 2012.02.25
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Abstract

This paper attempts to determine the inclination of the compression strut within variable angle truss models for RC beams loaded in shear-flexure through a proposed semi-analytical approach. A truss unit is used to analyze a reinforced concrete beam, by the principle of virtual work under the truss analogy. The inclination of the compression strut is then theoretically derived. The concrete contribution is addressed by utilizing the compatibility condition within each truss unit. Comparisons are made between the predicted and published experimental results of the seventy one RC beams with respect to the shear strength and the inclined angle of the compression strut at this state to investigate the adequacy of the proposed semi-analytical approach.

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References

  1. ACI-ASCE Committee 445 (1998), "Recent approaches to shear design of structural concrete", J. Struct. Eng.-ASCE, 24(12), 1375-1417.
  2. ACI Committee 318 (2008), "Building code requirements for structural concrete and commentary", American Concrete Institute, Farmington Hills.
  3. AASHTO (2004), "Standard Specification for Highway Bridges".
  4. Al-Nahlawi, K.A. and Wight, J.K. (1992), "Beam analysis using concrete tensile strength in truss model", ACI Struct. J., 89(3), 284-289.
  5. Al-Nahlawi, M.K.A. (1989), "An experimental and analytical study of shear strength of lightly reinforced concrete beams", Ph.D. Thesis, University of Michigan.
  6. Bentz, E.C. (2000), "Sectional analysis of reinforced concrete members", PhD. Thesis, Department of Civil Engineering, University of Toronto.
  7. Bhide, S.B. and Collins, M.P. (1989), "Influence of axial tension on the shear capacity of reinforced concrete members", ACI Struct. J., 86(5), 570-581.
  8. Bresler, B. and Scordelis, A.C. (1963), "Shear strength of reinforced concrete beams", ACI J., 60(1), 51-72.
  9. CEP-FIP (1978), Model Code for Concrete Structures, 3rd Edition, Comite-Euro-International du Beton/Federation Internationale de la Precontrainte, Paris.
  10. CSA-A23.3-04 (2004), "Design of concrete structures", Canadian Standards Association.
  11. Cladera, A. and Mari, A.R. (2005), "Experimental study on high-strength concrete beams failing in shear", Eng. Struct., 27(10), 1519-1527. https://doi.org/10.1016/j.engstruct.2005.04.010
  12. Collins, M.P. and Mitchell, D. (1991), Prestressed Concrete Structures, Prentice Hall, Englewood Cliffs, N. J., USA.
  13. Dilger, W. (1966), "Veranderlichkeit der Biege- und Schubsteifigkeit bei Stahlbetontragwerken und ihr Einflub auf Schnittkraftverteilung und Traglast bei statisch undestimmter Lagerung", Deutscher Ausschuss fur Stahlbeton, Heft 179, Berline, Germany.
  14. European Committee for Standardization, prRN 1992-1-1:2003, Eurocode 2 (2003), "Design of concrete structures, Part 1: General rules and rules for buildings", Revised final draft, Brussels, Belgium.
  15. Karayiannis, C.G. and Chalioris, C.E. (1999), "Experimental investigation of the influence of stirrups on the shear failure mechanism of reinforced concrete beams", Proceedings of the 13th Hellenic Conference on Concrete, Rethymnon, Greece, 1, 133-141.
  16. Johnson, M.K. and Ramirez, J.A. (1989), "Minimum shear reinforcement in beams with high strength concrete", ACI Struct. J., 86(4), 376-382.
  17. Kim, J.H. and Mander, J.B. (1999), "Truss modeling of reinforced concrete shear-flexure behavior", MCEER-99-0005, The State University of New York at Buffalo.
  18. Kong, P.Y.L. and Rangan, B.V. (1998), "Shear strength of high-performance concrete beams", ACI Struct. J., 95(6), 677-687.
  19. Morsch, E. (1902), "Der Eisenbetonbau seine Theorie und Anwendung (Theory and Applications of Reinforced Concrete)", Verlag Konrad Wittwer, Stuttgart.
  20. Li, B. and Tran, C.T.N. (2008), "Reinforced concrete beam analysis supplementing concrete contribution in truss models", Eng. Struct., 30(11), 3285-3294. https://doi.org/10.1016/j.engstruct.2008.05.002
  21. Naravanan, R. and Darwish, I.Y.S. (1988), "Use of steel fibers as shear reinforcement", ACI Struct. J., 84(3), 216-227.
  22. Ozcebe, G., Ersoy, U. and Tankut, T. (1999), "Evaluation of minimum shear reinforcement requirements for higher strength concrete", ACI Struct. J., 96(3), 361-369.
  23. Placas, A. and Regan, P.E. (2003), "Shear failure of reinforced concrete beams", ACI Struct. J., 100(2), 763-773.
  24. Priestley, M.J.N., Verma, R. and Xiao, Y. (1994), "Seismic shear strength of reinforced concrete columns", J. Struct. Eng.-ASCE, 120(8), 2310-2329. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:8(2310)
  25. Rahal, K.N. and Al-Shaleh, K.S. (2004), "Minimum transverse reinforcement in 65 MPa concrete beams", ACI Struct. J., 101(6), 872-878.
  26. Rahal, K.N. (2006), "Shear behavior of reinforced concrete beams with variable thickness of concrete side cover", ACI Struct. J., 103(2), 171-177.
  27. Ramirez, J.A. and Breen, J.E. (1991), "Evaluation of a modified truss-model approach for beams in shear", ACI Struct. J., 88(5), 562-571.
  28. Regan, P.E. (1969), "Shear in reinforced concrete beams", Mag. Concrete Res., 21(66), 31-42. https://doi.org/10.1680/macr.1969.21.66.31
  29. Ritter, W. (1899), "Die Bauwerise hennebique", Schweritzerische Bauzeritung, Zurich, Switzerland.
  30. Rudra, P. (2006), Getting Started with MATLAB 7: A Quick Introduction for Scientists and Engineers, Oxford University Press.
  31. Tompos, E.J. and Frosch, R.J. (2002), "Influence of beam size, longitudinal reinforcement, and stirrup effectiveness on concrete shear strength", ACI Struct. J., 99(5), 559-567.
  32. Vecchio, F.J. and Collins, M.P. (1986), "The modified compression-field theory for reinforced concrete elements subjected to shear", ACI J., 83(2), 219-231.
  33. Vecchio, F.J. and Shim, W. (2004), "Experimental and analytical reexamination of classic concrete beam tests", J. Struct. Eng.-ASCE, 130(3), 460-469. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:3(460)
  34. Walraven, J.C. (1981), "Fundamental analysis of aggregate interlock", J. Struct. Div., 107(11), 2245-2270.
  35. Wong, S.H.F. and Kuang, J.S. (2011), "Predicting shear strength of RC exterior beam-column joints by modified rotating-Angle softened-Truss Model", Comput. Concrete, 8(1), 59-70. https://doi.org/10.12989/cac.2011.8.1.059
  36. Yoon, S.Y., Cook, W.D. and Mitchell, D. (1996), "Minimum shear reinforcement in normal, medium, and high strength concrete beams", ACI Struct. J., 93(5), 1-9.

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