Advertisement

Materials and Structures

, Volume 41, Issue 1, pp 113–122 | Cite as

Shear strength of reinforced concrete beams with stirrups

Original article

Abstract

This study presents alternative shear strength prediction equations for reinforced concrete (RC) beams with stirrups. The shear strength is composed of the contribution of the nominal shear strength provided by stirrups and the nominal shear strength provided by concrete. For the concrete contribution, cracking shear strength values estimated by Arslan’s equations are almost same those obtained with ACI 318 simplified equation in terms of coefficient of variation (COV). However, mean values estimated by ACI 318 tend to be more conservative comparing to the mean values obtained with Arslan’s equations. Thus, for the consideration of concrete contribution to shear strength, Arslan’s equations are used. To obtain the shear strength of RC beams, shear strength provided by stirrups is added to the concrete shear strength estimated by Arslan’s equations. Results of existing 339 beam shear tests are used to investigate how accurate proposed equation estimates the shear strength of RC beams. Furthermore, ACI 318 and TS500 provisions are also compared to the aforementioned test results. It is found that proposed equations for beams with shear span to depth ratios (a/d) between 1.5 and 2.5 are also conservative with a lower COV than ACI 318 and TS500. However, when a/d ratios exceed 2.5 (both normal and high strength concrete beams), ACI 318, TS500 and proposed equations give similar COV value.

Keywords

Reinforced concrete Beams (supports) Cracking Shear strength Span-depth ratio Stirrups 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    ASCE-ACI 445 (1999) Recent approaches to shear design of structural concrete. State-of-the- Art-Report by ASCE-ACI Committee 445 on Shear and Torsion. ASCE J Struct EngGoogle Scholar
  2. 2.
    Arslan G (2005) Shear strength of reinforced concrete frame members under cyclic loads. PhD thesis, Yıldız Technical University, IstanbulGoogle Scholar
  3. 3.
    Arslan G (2007) Cracking shear strength of RC slender beams without stirrups. Turkish Journal of Engineering & Environmental Sciences (in review)Google Scholar
  4. 4.
    Zsutty TC (1968) Beam shear strength prediction by analysis of existing data. ACI J 65(11):943–951Google Scholar
  5. 5.
    Bazant ZP, Kim JK (1984) Size effect in shear failure of longitudinally reinforced beams. ACI Struct J 81(5):456–468Google Scholar
  6. 6.
    CEB-FIP model code for concrete structures (1990) Comite Euro-International du Beton, Paris. CEB-FIPGoogle Scholar
  7. 7.
    JSCE (1991) Standard specification for design and construction of concrete structures, Part I (Design). Japan Soc. of Civil Engrs., TokyoGoogle Scholar
  8. 8.
    ACI Committee 318 (2002) Building code for structural concrete (318R-2002) and commentary (318R-2002). American Concrete Institute, Farmington Hills, MichiganGoogle Scholar
  9. 9.
    Okamura H, Higai T (1980) Proposed design equation for shear strength of R.C. beams without web reinforcement. Proc Japan Soc Civil Eng 300:131–141Google Scholar
  10. 10.
    Ahmad SH, Khaloo AR, Poveda A (1986) Shear capacity of reinforced high-strength concrete beams. ACI J 83(2):297–305Google Scholar
  11. 11.
    Kim J-K, Park Y-D (1996) Prediction of shear strength of reinforced concrete beams without web reinforcement. ACI Mater J 93(3):213–222Google Scholar
  12. 12.
    Shin S-W, Lee K-S, Moon J, Ghosh, SK (1999) Shear strength of reinforced high-strength concrete beams with shear span-to-depth ratios between 1.5 and 2.5. ACI Struct J 96:549–556Google Scholar
  13. 13.
    Rebeiz KS (1999) Shear strength prediction for concrete members. J Struct Eng 125(3):301–308CrossRefGoogle Scholar
  14. 14.
    ASCE-ACI 426 (1973) The shear strength of reinforced concrete members. Proc Am Soc Civil Eng 99(ST6):1091–1187Google Scholar
  15. 15.
    Bazant ZP, Yu Q (2003) Designing against size effect on shear strength of reinforced concrete beams without stirrups. ITI Report, submitted to ACI Committee 445, Shear and Torsion; version also submitted for publication in J Struct EngGoogle Scholar
  16. 16.
    TS-500 requirements for design and construction of reinforced concrete structures, 2000. Turkish Standards Institute, Ankara (in Turkish)Google Scholar
  17. 17.
    Bresler B, Scordelis AC (1961) Shear strength of reinforced concrete beams. Series 100, Issue 13, Structures and Materials Research, Dept. of Civil Engineering. Univ. of California, BerkeleyGoogle Scholar
  18. 18.
    Leonhardt F, Walter R (1962) Schubversuche an Einfeldriegen Stahlbeton-Balken mit und ohne Schubbewehrung zur Ermittlung der Schub tragfähigkeit und der Oberen Schubspannungsgrenze. Heft 151, Deutscher Ausschuss für Stahlbeton, W. Ernst u. Sohn, Berlin, 68 ppGoogle Scholar
  19. 19.
    Bresler B, Scordelis AC (1966) Shear strength of reinforced concrete beams – Series III. Report No. 65-10, Structures and Materials Research, Dept. of Civil Engineering, Univ. of California, BerkeleyGoogle Scholar
  20. 20.
    Bahl NS (1968) Über den Einfluß der Balkenhöhe auf die Schubtragfähigkeit von Einfeldriegen Stahlbeton-Balken mit und ohne Schubbewehrung. PhD Dissertation, Universität Stuttgart, Germany, 125 ppGoogle Scholar
  21. 21.
    Placas A, Regan PE (1971) Shear failure of reinforced concrete beams. ACI J 68(10):763–773Google Scholar
  22. 22.
    Swamy RN, Andriopoulos AD (1974) Contribution of aggregate interlock and dowel forces to the shear resistance of reinforced beams with web Reinforcement. Shear in Reinforced Concrete, SP-42, ACI, Farmington Hills, Mich., pp 129–166Google Scholar
  23. 23.
    Mattock AH, Wang Z (1984) Shear strength of reinforced concrete members subject to high axial compressive stress. ACI Struct J 11(3):287–298Google Scholar
  24. 24.
    Mphonde AG, Frantz GC (1984) Shear tests of high- and low-strength concrete beams without stirrups. ACI J 81(4):350–357Google Scholar
  25. 25.
    Elzanaty AH, Nilson AH, Slate FO (1986) Shear capacity of reinforced concrete beams using high strength concrete. ACI J 65(1):290–296Google Scholar
  26. 26.
    Johnson MK, Ramirez JA (1989) Minimum shear reinforcement in beams with higher strength concrete. ACI Struct J 86(4):376–382Google Scholar
  27. 27.
    Anderson NS, Ramirez JA (1989) Detailing of stirrup reinforcement. ACI Struct J 86(5):507–515Google Scholar
  28. 28.
    Sarzam KF, Al-Musawi JMS (1992) Shear design of high- and normal-strength concrete beams with web reinforcement. ACI Struct J 89(6):658–664Google Scholar
  29. 29.
    Xie Y, Ahmad SH, Yu T, Hino S, Chung W (1994) Shear ductility of reinforced concrete beams of normal and high-strength concrete. ACI Struct J 91(2):140–149Google Scholar
  30. 30.
    McGormley JC, Creary DB, Ramirez JA (1996) The performance of epoxy-coated shear reinforcement. ACI Struct J 93(5):531–537Google Scholar
  31. 31.
    Yoon Y, Cook WD, Mitchell D (1996) Minimum shear reinforcement in normal-, medium-, and high-strength concrete beams. ACI Struct J 93(5): 576–584Google Scholar
  32. 32.
    Zararis PH, Papadakis G (1999) Influence of the arrangement of reinforcement on the shear strength of RC beams. Proceeding of the 13th Hellenic Conference on Concrete, Rethymnon, Greece, pp␣110–119Google Scholar
  33. 33.
    Karayiannis CG, Chalioris CE (1999) Experimental investigation of the influence of stirrups on the shear failure mechanism of reinforced concrete beams. Proceeding of the 13th Hellenic Conference on Concrete, Rethymnon, Greece, pp 133–141Google Scholar
  34. 34.
    Angelakos D, Bentz EC, Collins MP (2001) Effect of concrete strength and minimum stirrups on shear strength of large members. ACI Struct J 98(3):290–300Google Scholar
  35. 35.
    Gonzalez FB (2002) Hormigones con aridos reciclados procetendes de demoliciones: dosificaciones, propiedades mecanicas y comportamiento estructurea a cortante. Tesis doctoral dirigida por Prof. Fernando Martinez, ETSECCP de la Coruna, Universidad de la CorunaGoogle Scholar
  36. 36.
    Lyngberg BS (1976) Ultimate shear resistance of partially prestressed reinforced concrete I-beams. ACI J Proceedings 73(4)Google Scholar
  37. 37.
    Roller JJ, Russell HG (1990) Shear strength of high-strength concrete beams with web reinforcement. ACI Struct J 87(2):191–198Google Scholar
  38. 38.
    Kong PYL, Rangan BV (1998) Shear strength of high-performance concrete beams. ACI Struct J 95(6):677–688Google Scholar
  39. 39.
    Rahal KN, Al-Shaleh KS (2004) Minimum transverse reinforcement in 65 MPa concrete beams. ACI Struct J 101(6):872–878Google Scholar
  40. 40.
    Adebar P, Collins MP (1996) Shear strength of members without transverse reinforcement. Can J Civil Eng 23:30–41CrossRefGoogle Scholar
  41. 41.
    Tan K, Kong F, Teng S, Weng L (1997) Effect of web reinforcement on high strength concrete deep beams. ACI J 94(5):572–582Google Scholar
  42. 42.
    Ozcebe G, Ersoy U, Tankut T (1999) Evaluation of minimum shear reinforcement requirements for higher strength concrete. ACI Struct J 96(3):361–368Google Scholar
  43. 43.
    Cladera A, Mari AR (2005) Experimental study on high-strength concrete beams failing in shear. Eng Struct 27:1519–1527CrossRefGoogle Scholar
  44. 44.
    Etxeberria M, Mari AR, Vazquez E (2003) Estudio experimental de la resistencia a cortante en vigas de hormigon de aridos reciclados. PhD thesis, Universidad Politecnica da CatalunaGoogle Scholar
  45. 45.
    Collins MP, Kuchma D (1999) How safe are our large, lightly reinforced concrete beams, slabs and footings? ACI Structural Journal 96(4):482–490Google Scholar
  46. 46.
    Fenwick RC, Paulay T (1968) Mechanisms of shear resistance of concrete beams. J Struct Eng ASCE 94(10):2325–2350Google Scholar
  47. 47.
    Cho S-H (2003) Shear strength prediction by modified plasticity theory for short beams. ACI Struct J 100(1):105–112Google Scholar
  48. 48.
    Oh J-K, Shin S-W (2001) Shear strength of reinforced high-strength concrete deep beams. ACI Struct J␣98(2):164–173MathSciNetGoogle Scholar
  49. 49.
    Mathey RG, Watstein D (1963) Shear strength of beams without web reinforcement. ACI J 60(2):183–208Google Scholar
  50. 50.
    Taylor R (1960) Some shear tests on reinforced concrete beams without shear reinforcement. Mag Concrete Res 12(36):145–154Google Scholar
  51. 51.
    Kani GNJ (1966) Basic facts concerning shear failure. ACI J 63(6):675–692Google Scholar
  52. 52.
    Clark A (1951) Diagonal tension in reinforced concrete beams. ACI J Proceeding 48(2):145–156Google Scholar
  53. 53.
    Khuntia M, Stojadinovic B (2001) Shear strength of reinforced concrete beams without transverse reinforcement. ACI Struct J 98(5):648–656Google Scholar
  54. 54.
    Ersoy U, Özcebe G (2001) Betonarme. Evrim Yayınevi, IstanbulGoogle Scholar
  55. 55.
    Nilson AH, Winter G (1991) Design of concrete structures. Mc-Graw-Hill International EditionsGoogle Scholar
  56. 56.
    Paulay T, Priestley MJN (1992) Seismic design of reinforced concrete and masonry. Wiley, New YorkGoogle Scholar
  57. 57.
    Carreira DJ, Chu K (1986) Stress-strain relationship for reinforced concrete in tension. ACI J 83(3):21–28Google Scholar
  58. 58.
    Massicotte B, Elwi AE, MacGregor JM (1990) Tension-stiffening model for planar reinforced concrete members. J Struct Eng ASCE 116(11):3039–3058CrossRefGoogle Scholar

Copyright information

© RILEM has copyright 2007

Authors and Affiliations

  1. 1.Structural Engineering Division, Civil Engineering Department, Faculty of Civil EngineeringYıldız Technical UniversityBesiktas, IstanbulTurkey

Personalised recommendations