Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Shear strength of steel fiber reinforced concrete beams with stirrups

  • Campione, G. (Dipartimento di Ingegneria Strutturale e Geotecnica, Universita di Palermo) ;
  • La Mendola, L. (Dipartimento di Ingegneria Strutturale e Geotecnica, Universita di Palermo) ;
  • Papia, M. (Dipartimento di Ingegneria Strutturale e Geotecnica, Universita di Palermo)
  • Received : 2005.07.26
  • Accepted : 2006.04.28
  • Published : 2006.09.10
⟨ Previous Next ⟩

Abstract

The present paper proposes a semi-empirical analytical expression that is capable of determining the shear strength of reinforced concrete beams with longitudinal bars, in the presence of reinforcing fibers and transverse stirrups. The expression is based on an evaluation of the strength contribution of beam and arch actions and it makes it possible to take their interaction with the fibers into account. For the strength contribution of stirrups, the effective stress reached at beam failure was considered by introducing an effectiveness function. This function shows the share of beam action strength contribution on the global strength of the beam calculated including the effect of fibers. The expression is calibrated on the basis of experimental data available in literature referring to fibrous reinforced concrete beams with steel fibers and recently obtained by the authors. It can also include the following variables in the strength previsions: - geometrical ratio of longitudinal bars in tension; - shear span to depth ratio; - strength of materials and fiber characteristics; - size effects. Finally, some of the more recent analytical expressions that are capable of predicting the shear strength of fibrous concrete beams, also in the presence of stirrups, are mentioned and a comparison is made with experimental data and with the results obtained by the authors.

Keywords

References

  1. ACI Committe 544 (1988), 'Design considerations for steel fiber reinforced concrete', ACI Struct. J, 85(5),563-580
  2. ACI Committe 408 (1992), 'Abstract of: State-of-the-art-report: Bond under cyclic loads', ACI Mater. J, 88(6),669-673
  3. ACI Committee 318 (2002), 'Building code requirements for reinforced concrete (ACI 318-95)', and Commentary ACI 318RM-02, American Concrete Institute, Detroit, Michigan
  4. Adebar, P., Mindess, S. St-Pierre, D. and Olund, B. (1997), 'Shear tests of fiber concrete beams without stirrups', ACI Struct. J, 94(1), 68-76
  5. Al-Ta'an, S.A. and AI-Feel, lR. (1990), 'Evaluation of shear strength of fibre-reinforced concrete beams', Cement & Concrete Composites, 12(2), 87-94 https://doi.org/10.1016/0958-9465(90)90045-Y
  6. Ashour, S.A., Hasanain, GS. and Wafa, F. (1992), 'Shear behavior of high strength fiber reinforced concrete beams', ACI Struct. J, 89(2), 176-183
  7. Balazs, G.L. and Kovacs, I. (2000), 'Flexural behaviour of R.C. and P.C. beams with steel fibres', Proc. Int. Work. Structural Application of Steel Fibre Reinforced Concrete, Milan 4th April 2000, Politecncio of Milan, 85-92
  8. Banthia, N. and Trottier, J.F. (1994), 'Concrete reinforced with deformed steel fibers, Part I: Bond-slip mechanism', ACI Mater. J, 91(5), 435-446
  9. Bazant, Z.P. and Kim, J.K. (1984), 'Size effect in shear failure of longitudinally reinforced beams', ACI Struct. J, 81(5),456-468
  10. Bresler, B. and Scordelis, A.C. (1961), 'Shear strength of reinforced concrete beams', Struct. Mater., Res. Dept. of Civil Eng., Univ. of California, Berkeley, 1961. Serie 100 Issue 13
  11. Campione, G, Mindess, S., Scibilia, N. and Zingone, G (2000), 'Strength of hollow circular steel section filled with fibre-reinforced concrete', Canadian J Stnlct. Eng., 27(5), 354-372
  12. Campione, G and Mindess, S. (1999), 'Fibers as shear reinforcement for high strength reinforced concrete beams containing stirrups', Proc. $3^{\circ}$ Int. RILEM Work. High Performance Fiber Reinforced Cement Composites HPFRCC3, Edited by Reihardt, H.W. and Naaman, A.E., 519-523
  13. Campione, G, La Mendola, L. and Zingone, G (2000), 'Fexural-shear interaction in high strength fibre reinforced concrete beams', Proc. of Fifth RILEM Symposium on Fibre-reinforced Concretes (FRC) , BEFIB 2000, Lyon, France, 451-460
  14. Campione, G, Cucchiara, e. and La Mendola, L. (2003), 'Role of fibres and stirrups on the experimental behaviour of reinforced concrete beams and flexure and shear', Int. Conf. on Composites in Construction, settembre 2003, Rende, Italy
  15. Campione, G, Cucchiara, C., La Mendola, L. and Papia, M. (2004), 'Steel-concrete bond in lightweight fiber reinforced concrete under monotonic and cyclic actions', Eng. Struct.. 27(6), 881-890 https://doi.org/10.1016/j.engstruct.2005.01.010
  16. Casanova, P. and Rossi, P. (1997), 'Analysis and desing of steel fiber reinforced concrete beams', ACI Struct. J. 94, 595-602
  17. Chen, H.J., Huang, C.H. and Kao, Z.Y (2004), 'Experimental investigation on steel-concrete bond in lightweight and normal weight concrete', Struct. Eng. Mech., 17(2), 141-152 https://doi.org/10.12989/sem.2004.17.2.141
  18. Cho, S. and Kim, Y (2003), 'Effects of steel fibers on short beams loaded in shear', ACI Struct. J, 100(6), 765-774
  19. CNR-DT 204/2006, 'Instructions for Design, Execution and Control of Fibrous Reinforced Concrete Structures', 79pp, Consiglio Nazionale Ricerche, ROMA. (only available in Italian)
  20. Cucchiara, C., La Mendola, L. and Papia, M. (2004), 'Effectiveness of stirrups and steel fibres as shear reinforcement', Cement & Concrete Composites, 26, 777-786 https://doi.org/10.1016/j.cemconcomp.2003.07.001
  21. Di Prisco, M. and Romero, J.A (1996), 'Diagonal shear in thin-webbed reinforced concrete beams: Fibre and stirrup roles at shear collapse', Magazine of Concrete Research, 48(174), 59-76 https://doi.org/10.1680/macr.1996.48.174.59
  22. Dupont, D. and Vandewalle, L. (2003), 'Shear capacity of concrete beams containing longitudinal reinforcement and steel fibers', ACI SP-216 Innovations in Fiber-reinforced Concrete for Value, Editors, N. Banthia, M. Criswell, P. Tatnall and K. Folliard, 78-94
  23. Eurocode 2, 'Design of Concrete Structures', EC2 Part 1. Commission of the European Communities 1989. concrete under compression, Cement & Concrete Composite, 1999,21,383-390 https://doi.org/10.1016/S0958-9465(99)00021-9
  24. Furlan, S. and De Hanai, J.B. (1997), 'Shear behaviour of fiber reinforced concrete beams', Cement & Concrete Composites, 19(4), 359-366 https://doi.org/10.1016/S0958-9465(97)00031-0
  25. Gettu, R. Barragan, B.E., Sousa, J.L.A.O., Martin, M.A. and Burnett, I. (2002), 'Experimental and numerical study of shear failure of fiber reinforced concrete beams', High Performance Concrete Performance and Quality of Concrete Structures, Proc. Third Int. CANMET/SACI Int. Conf (Recife, Brazile) Suplementary CD, ACI International Farmington Hills Michigan, USA, 10p
  26. Harajli, M., Hout, M. and Jalkh, W. (1995), 'Local bond stress-slip behavior of reinforcing bars embedded in plain and fiber concrete', ACI Mater. J, 4(1), 343-353
  27. Harajli, M. (2004), 'Effect of fiber reinforcement on the response of RC columns under static and seismic loading', Proc. 6th Symposium on Fibre-Reinforced Concrete (FRC) - BEFIB 2004 20-22 September 2004, Varenna, Italy, 1207-1216
  28. Hota, S. and Naaman, A. (1997), 'Bond stress-slip response of reinforcing bars embedded in FRC matrices under monotonic and cyclic loading', ACI Struct. J, 4(5), 525-537
  29. Imam, M., Vandewalle, L. and Mortelmans, E (1995), 'Shear-moment analysis of reinforced high strength concrete beams containing steel fibres', Canadian J Civil Eng., 22(3), 462-470 https://doi.org/10.1139/l95-054
  30. Kani, G.N.J. (1964), 'Riddle of shear failure and its solution', ACI Journal Proc., 61(4), April, 441-467
  31. Kearsley, E.P. and Moster, F.P. (2004), 'The effect of fibers on the shear strength of reinforced concrete beams', Proc. 6th Symposium on Fibre-Reinforced Concrete (FRC) - BEFIB 2004 20-22 September 2004, Varenna, Italy, 955-964
  32. Khuntia, M., Stojadinovic, B. and Goel, S.C. (1999), 'Shear strength of normal and high-strength fiber reinforced concrete beams without stirrups', ACI Struct. J, 92(2),282-289
  33. Kim, D., Kim, W. and White, R. (2002), 'Arch action in reinforced concrete beams - a rational prediction of shear strength', ACI Struct. J, 96(4), 586-593
  34. Mansur, M.A., Ong, K.C.Gand Paramasivam, P. (1986), 'Shear strength of fibrous concrete beams without stirrups', J. Struct. Eng., ASCE, 112(9), 2066-2079 https://doi.org/10.1061/(ASCE)0733-9445(1986)112:9(2066)
  35. Narayanan, R. and Darwish, Y.S. (1986), 'Use of steel fibers as shear reinforcement', ACI Struct. J., May-June, title, 84-S23, 216-227
  36. Nataraja, M.C., Dhang, N. and Gupta, A.P. (1999), 'Stress-strain curves for steel fiber reinforced cncrete under compression', Cement & Concrete Composite, 21, 383-390 https://doi.org/10.1016/S0958-9465(99)00021-9
  37. Naaman, A.E. (2003), 'Strain hardening and deflection hardening fiber reinforced cement composites', Proc. of IV Intern. RILEM Workshop, 'High performance fiber reinforced cement composites (HPFRCC4), Ann Arbour, MI, US, 2003, 95-113
  38. Tompos, E.J. and Frosch, R.I. (2002), 'Influence of beam size, longitudinal reinforcement, and stirrups effectiveness on concrete shear strength', ACI Struct. J, 99(5), 559-567
  39. RILEM TC 162-TDF (2003), 'Recommendations $\sigma-\varepsilon$ design method of SFRC', Mater. Struct., 36, October 2003, 560-567
  40. Russo, G. and Puleri, G. (1997), 'Stirrup effectiveness in reinforced concrete beams under flexure and shear', ACI Struct. J., 94(3), 227-238
  41. Shanna, A.K. (1986), 'Shear strength of steel fiber reinforced concrete beams', ACI Struct. J., 83(4), 624-628
  42. Swamy, R.N., Jones, R. and Chima, T.P. (1993), 'Influence of steel fibers on the shear resistance of lightweight concrete I-beams', ACI Struct. J., 90(1), 103-114
  43. Swamy, R.N. and Bahia, H.M. (1979), 'Influence of fiber reinforcement on the dowel resistance to shear', ACI Struct. J., Feb. 1979,327-355
  44. Valle, M. and Buyukozturk, O. (1993), 'Behaviour of fiber reinforced high-strength concrete under direct shear', ACI Struct. J., 90(2), 122-133
  45. Zingone, G., Papia, M. and Campione, G. (1999), 'Experimental investigation on fibre pull-out from nonnal and high strength concrete', Int. Congress Creating with Concrete, Dundee, Scotland, Extending perfonnance of concrete structures, September 1999, 229-237
  46. Zsutty, T.C. (1971), 'Beam shear strength prediction by analysis of separate categories of simple beam tests', ACI Struct. J., 68(11), 943-951

Cited by

  1. Fibrous reinforced concrete beams in flexure: Experimental investigation, analytical modelling and design considerations vol.30, pp.11, 2008, https://doi.org/10.1016/j.engstruct.2008.04.019
  2. Shear strength of full-scale steel fibre-reinforced concrete beams without stirrups vol.11, pp.5, 2013, https://doi.org/10.12989/cac.2013.11.5.365
  3. Statically-Indeterminate SFRC Columns under Cyclic Loads vol.17, pp.10, 2014, https://doi.org/10.1260/1369-4332.17.10.1403
  4. Simple Plastic Model for Shear Critical SFRC Beams vol.136, pp.4, 2010, https://doi.org/10.1061/(ASCE)ST.1943-541X.0000127
  5. Shear behaviour of steel-fibre-reinforced concrete simply supported beams vol.167, pp.9, 2014, https://doi.org/10.1680/stbu.12.00068
  6. Experimental Investigation of the Deformation Behavior of SFRC Beams with an Ordinary Reinforcement vol.50, pp.4, 2014, https://doi.org/10.1007/s11029-014-9428-9
  7. Steel-fibre-reinforced concrete coupling beams subjected to monotonic loading vol.61, pp.1, 2009, https://doi.org/10.1680/macr.2008.00019
  8. Flexural Behavior of Steel Fibrous Reinforced Concrete Deep Beams vol.138, pp.2, 2012, https://doi.org/10.1061/(ASCE)ST.1943-541X.0000442
  9. Simplified Flexural Response of Steel Fiber-Reinforced Concrete Beams vol.20, pp.4, 2008, https://doi.org/10.1061/(ASCE)0899-1561(2008)20:4(283)
  10. Flexural and Shear Resistance of Steel Fiber–Reinforced Lightweight Concrete Beams vol.140, pp.4, 2014, https://doi.org/10.1061/(ASCE)ST.1943-541X.0000887
  11. A simplified finite element model for assessing steel fibre reinforced concrete structural performance vol.173, 2016, https://doi.org/10.1016/j.compstruc.2016.05.017
  12. Empirical modeling of shear strength of steel fiber reinforced concrete beams by gene expression programming vol.23, pp.3-4, 2013, https://doi.org/10.1007/s00521-012-0999-x
  13. Compressive behavior of short fibrous reinforced concrete members with square cross-section vol.37, pp.6, 2006, https://doi.org/10.12989/sem.2011.37.6.649
  14. Generalization of shear truss model to the case of SFRC beams with stirrups vol.9, pp.3, 2006, https://doi.org/10.12989/cac.2012.9.3.227