DOI QR코드

DOI QR Code

Nonlinear shear strength of pre-stressed concrete beams

  • Rahai, Alireza (Department of Civil Engineering, Amir Kabir University of Technology) ;
  • Shokoohfar, A. (Department of Civil Engineering, Amir Kabir University of Technology)
  • Received : 2010.02.09
  • Accepted : 2012.01.20
  • Published : 2012.02.25

Abstract

The shear strength is an important factor in the design of prestressed concrete beams. Therefore, researchers have utilized various methods to determine the shear strength of these elements for the design purposes. To evaluate some of the proposed theoretical methods, numerous models of post-tensioned beams with or without vertical prestressing are selected and analyzed using the finite element method and assuming nonlinear behavior for the materials. In this regard the validity of modeling is evaluated based on some tests results. In the second part of the study two beam specimens are built and tested and their load-deformation curve and cracking pattern are studied. The analytical results consist of compressive strut slope and mid span load deflection are compared with some experimental results, and the results of some codes' formulas. Finally comparing the results of nonlinear analysis with the experimental values, a new formula is proposed for determining strut slopes in prestressed concrete beams.

Keywords

References

  1. American Concrete Institute (ACI) (2005), Building Code Requirements for Structural Concrete (ACI_318_05), Farmington Hills.
  2. Au, F.T., Chan, K.H., Kwan, A.K. and Du, J.S. (2009), "Flexural ductility of prestressed concrete beams with unbonded tendons", Comput. Concrete, 6(6), 451-472. https://doi.org/10.12989/cac.2009.6.6.451
  3. Bentz, C.E., Vechio, J.F. and Collins, M.P. (2006), "Simplified modified compression field theory for calculating shear strength of reinforced concrete elements", ACI Struct. J., 103(4), 614-624.
  4. British Standards Institution (2004), The European Standard EN 1992-1-1, Eurocode2: Design of Concrete Structures (EC2), Brussels, Belgium.
  5. Brown, M.D. and Oguzhan, B. (2006), "Minimum transverse reinforcement for bottle-shaped struts", ACI Struct. J., 103(6), 813-821.
  6. Collins, M.P. and Mitchell, D. (1980), "Shear and torsion design of prestressed and nonprestressed concrete beams", J. PC. Inst., 25(5), 32-100.
  7. Comite Euro-International du beton (CEB) (1990), CEB-FIP Model Code 1990, Bulletin D' Information N0.195, Paris.
  8. Czaderski, C. and Motavalli, M. (2006), "Determining the remaining tendon force of a large-scale, 38-Year-Old prestressed concrete bridge girder", PCI J., 51(4), 56-68.
  9. Elzanety, A.H., Nilson, A.H. and Slate, F.O. (1988), "Shear capacity of prestressed concrete beams using high strength concrete", ACI J., 359-368.
  10. Kaufman, M.K. and Ramirez, J.A. (1988), "Re-evaluation of the ultimate shear behavior of high-strength concrete prestressed I-beams", ACI J., 295-303.
  11. Kim, S.Y. and Yang, K.H. (2007), "Tests of reinforced concrete beams strengthened with wire rope units", Eng. Struct., 29, 2711-2722. https://doi.org/10.1016/j.engstruct.2006.12.013
  12. Lee, J. and Fenves, G.L. (1998), "Plastic-damage model for cyclic loading of concrete structures", J. Eng. Mech., 124(5), 892-900. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:8(892)
  13. Lou, T. and Xiang, Y. (2010), "Numerical analysis of second-order effects of externally prestressed concrete beams", Struct. Eng. Mech., 35(5), 631-643. https://doi.org/10.12989/sem.2010.35.5.631
  14. Mahtomedi, M. (1998), "Nonlinear analysis of prestressed concretes in order to evaluate shear strength of sections and result comparison with valid codes", M.SC Thesis, Amir Kabir University of Technology, Tehran, Iran.
  15. Morsch, E. (1920), Reinforced Concrete Construction-Theory and Application, Wittwer, Stuttgart, V. 1, Part 1.
  16. Morsch, E. (1922), Reinforced Concrete Construction-Theory and Application, Wittwer, Stuttgart, V. 1, Part 2.
  17. Muttoni, A., Schwartz, J. and Thurlimann, B. (1997), Design of Concrete Structures with Stress Fields, Birkhauser, Boston.
  18. Rabczuk, T., Akkermann, J. and Eibl, J. (2005), "A numerical model for reinforced concrete structures", Int. J. Solids Struct., 42, 1327-1354. https://doi.org/10.1016/j.ijsolstr.2004.07.019
  19. Ramirez, J.A. and Breen, G.E. (1991), "Evaluation of a modified truss model approach for beams in shear", ACI Struct. J., 88(5), 562-571.
  20. Ritter, W. (1899), "Die bauweise hennebique", Schweizerische Bauzei-tung, 33(7), 59-61.
  21. Ruiz, M.F. and Muttoni, A. (2007), "On development of suitable stress fields", ACI Struct. J., 104(9), 495-502.
  22. Ruiz, M.F. and Muttoni, A. (2008), "Shear strength of thin-webbed post-tensioned beams", ACI Struct. J., 105(3), 308-317.
  23. Standards Association of Australia (1988), Australia Standard for Concrete Structures (AS-3600-1988), Sydney.
  24. Talbot, A.N. (1909), Tests of Reinforced Concrete Beams: Resistance to Web Stresses Series of 1907 and 1908, Bulletin 29, University of Illinois Engineering Experiment Station, Urbana, Ill, Illinois.
  25. Vechio, F.J. and Collins, M.P. (1986), "The modified compression-field theory for reinforced concrete elements subjected o shear", ACI J., 219-231.
  26. Wagner, H. (1929), Metal Beams with Very Thin Webs, Berlin.
  27. Wang, G.L. and Meng, S.P. (2008), "Modified strut-and-tie model for prestressed concrete deep beams", Eng. Struct., 30(12), 3489-3496. https://doi.org/10.1016/j.engstruct.2008.05.020
  28. Withey, M.O. (1907), Tests of Plain and Reinforced Concrete Series of 1906, Bull. of the University of Wisconsin Eng. Series, Wisconsin.

Cited by

  1. Shear performance assessment of steel fiber reinforced-prestressed concrete members vol.16, pp.6, 2015, https://doi.org/10.12989/cac.2015.16.6.825