Skip to main content
SpringerLink
Log in

Evaluation of size dependent design shear strength of reinforced concrete beams without web reinforcement

  • Published:
Sadhana Aims and scope Submit manuscript

Abstract

Analytical studies on the effect of depth of beam and several parameters on the shear strength of reinforced concrete beams are reported. A large data base available has been segregated and a nonlinear regression analysis (NLRA) has been performed for developing the refined design models for both, the cracking and the ultimate shear strengths of reinforced concrete (RC) beams without web reinforcement. The shear strength of RC beams is size dependent, which needs to be evaluated and incorporated in the appropriate size effect models. The proposed models are functions of compressive strength of concrete, percentage of flexural reinforcement and depth of beam. The structural brittleness of large size beams seems to be severe compared with highly ductile small size beams at a given quantity of flexural reinforcement. The proposed models have been validated with the existing popular models as well as with the design code provisions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • ACI ASCE Committee 326 1962 Shear and diagonal tension, J. Am. Concrete Institute, 277–333

  • ACI 318 M-02 2002 Building code requirements for structural concrete, ACI, Michigan

    Google Scholar 

  • ACI 318 2005 Building code requirements for structural concrete, ACI, Michigan

    Google Scholar 

  • Ahmad S H, Khaloo A R, Poveda A 1984 Shear capacity of reinforced HSC beams, ACI J., 83(2): 297–305

    Google Scholar 

  • Appa Rao G 2001 Nonlinear fracture and size effect in high strength and high performance concrete-an experimental approach, A Ph.D. Thesis submitted to the Department of Civil Engineering, Indian Institute of Science, Bangalore

  • Appa Rao G, Raghu Prasad B K 2002 Fracture energy and softening behavior of high-strength concrete, Cement and Concrete Res., 32: 247–252

    Article  Google Scholar 

  • Appa Rao G, Faiz Sulthana, Pandurangan K 2010 Studies on bond strength of reinforced concrete, J. Struct. Eng., 36(5): 347–353

    Google Scholar 

  • ASCE-ACI Com 445 1998 Recent approaches to shear design of structural concrete, J. Struct. Eng., 24(2): 1374–1417

    Google Scholar 

  • Bazant Z P, Kazemi M T 1991 Size effect on diagonal shear failure of beams without stirrups, ACI Structural Journal, 88(3): 268–276

    Google Scholar 

  • Bazant Z P, Kim J K 1984 Size effect in shear failure of longitudinally reinforced beams, Proceedings, ACI Structural Journal, 81(5): 456–468

    Google Scholar 

  • Bazant Z P, Sun H H 1987 Size effect in diagonal shear failure: influence of aggregate size and stirrups, ACI Materials Journal, 84(4): 259–272

    Google Scholar 

  • Bresler B, MacGregor J G 1967 Review of concrete beams failing in shear. J. Struct. Division, Proc. American Society Civil Eng., 343–371

  • Bresler B, Scrodelis AC 1963 Shear strength of RC beams, Proc. ACI J., 60(1): 51–74

    Google Scholar 

  • BS 8110-1 1997 Structural use of concrete, Part 1: Code of Practice for Design and Construction, British Standards Institution, London

    Google Scholar 

  • Chana P S 1987 Investigation of the mechanism of shear failure of reinforced concrete beams, Magazine of Concrete Research, 39(141): 196–204

    Article  Google Scholar 

  • Clark A P 1951 Diagonal tension in RC beams. ACI J., 23(2): 145–156

    Google Scholar 

  • Collins M P, Kuchma D 1999 How safe are our large, lightly reinforced concrete beams, slabs and footings, ACI Structural Journal, 96(4): 482–490

    Google Scholar 

  • Cossio R D D, Siess C P 1960 Behaviour and shear of beams and frames without web reinforcement, Proc ACI J., 56(9): 695–735

    Google Scholar 

  • CSA 1994 Design of concrete structures, CSA A23.3. Rexdale, Ontario, pp 199

    Google Scholar 

  • Elzanty A H, Nilson A H, Slate F O 1986 Shear capacity of reinforced concrete beams using high strength concrete, ACI J., 83(2): 290–296

    Google Scholar 

  • JSCE 1986 Standard specification for design and construction of concrete structures, Part I (Design), 1st Ed, Referred in shear strength of reinforced concrete beams without transverse reinforcement M Khuntia and B Stojadinovic (eds) ACI Structural Journal, Sept-Oct. 2001, pp 648–656

  • Kani G N J 1966 The basic facts concerning shear failure, Proc. ACI J., 63(7): 675–692

    Google Scholar 

  • Kani G N J 1967 How safe are our large reinforced concrete beams? ACI J., 64(3): 128–141

    Google Scholar 

  • Karihaloo B L 1995 Fracture mechanics and structural concrete, pp. 152, Longman group Ltd.

  • Kim J K, Park Y D 1994 Shear strength of reinforced high strength concrete beams without web reinforcement, Magazine of Concrete Research, 46(166): 7–16

    Article  Google Scholar 

  • Kim D, Kim W, White R M 1999 Arch action in reinforced concrete beams- a rational prediction of shear strength. ACI Struct. J., 96(4): 586–593

    Google Scholar 

  • Kong F K, Garcia R C, Paine J M, Wong H H A, Tang C W J, Chemrouk M 1986 Strength and stability of slender conc deep beams, St Eng., 64B(3): 173–180

    Google Scholar 

  • Kotosovos M D 2001 On the size effect phenomenon in concrete structures, fracture mechanics of concrete structures, de Borst et al (eds), 705–711

  • Krefeld W J, Thurston C W 1966 Studies of the shear and diagonal tension strength of simply supported reinforced concrete beams, ACI J., 63(4): 451–476

    Google Scholar 

  • Maekawa K, Pimanmas A, Okamura H 2003 Non linear mechanics of reinforced concrete. London and New York: Spon Press, pp. 74

    Google Scholar 

  • Mathey R G, Watstein D 1963 Shear strength of beams without web reinforcement containing deformed bars of different yield strengths, ACI J., 60(2): 183–208

    Google Scholar 

  • Mattock A H 1969 Diagonal tension cracking in concrete beams with axial forces, Proc ASCE, 95(ST9): 1887–1900

    Google Scholar 

  • Moody K G, Viest I M, Elstner R C, Hognestad E 1954 Shear strength of reinforced concrete beams, Part-1: tests of simple beams. ACI J., 51(3): 317–332

    Google Scholar 

  • Mphonde A G, Frantz G C 1984 Shear tests of high and low strength concrete beams without stirrups, Proc. ACI J., 81(4): 350–357

    Google Scholar 

  • Niwa J, Yamada K, Yokozawa K, Okamura H 1987 Revaluation of the equation for shear strength of reinforced concrete beams without web reinforcement, Concrete Library of JSCE, 9: 65–84

    Google Scholar 

  • Pendyala R S, Mendis P 2000 Experimental study on shear strength of high strength concrete beams, ACI Structural Journal, 97(4): 564–571

    Google Scholar 

  • Rajagopalan K S, Ferguson Phil M 1968 Exploratory shear tests emphasizing percentage of longitudinal steel, Proc ACI J., 65(9): 634–638

    Google Scholar 

  • Rama Mohan Rao P, Krishnamoorthy T S, Gopalakrisnan S 2004 Shear strength of high performance concrete beams, Proc of Intl Conf on Ads in Con and Constn, Hyd, India, 277–290

  • Shin S W, Lee K S, Moon J I, Ghosh S K 1999 Shear strength of Re. HSC beams with shear span to depth ratios between 1.5 and 2.5., ACI Struct. J., 96(4): 549–556

    Google Scholar 

  • So K O, Karihaloo B L 1993 Shear capacity of longitudinally reinforced beams – a fracture mechanics approach, ACI Struct. Journal, 90(7): 591–600

    Google Scholar 

  • Tan K H, Lu H Y 1999 Shear behaviour of large reinforced concrete deep beams and code comparisons, ACI Structural Journal, 96(5): 836–845

    Google Scholar 

  • Taylor R 1960 Some shear tests on reinforced concrete beams without shear reinforcement, Magazine of Concrete Research, 12(36): 145–154

    Google Scholar 

  • Taylor H P J 1972 Shear strength of large beams, ASCE, 98(ST11): 2473–2490

    Google Scholar 

  • Taylor R, Brewer R S 1963 The effect of the type of aggregate on the diagonal cracking strength of reinforced concrete beams, Magazine of Concrete Res., 15(44): 87–92

    Google Scholar 

  • Van Den Berg F J 1962 Shear strength of RC beams without web reinforcement, Part-2 – factors affecting load at diagonal cracking, ACI J., 59(11): 1587–1600

    Google Scholar 

  • Walraven J, Lehwalter N 1994 Size effects in short beams loaded in shear, ACI Struct. Journal, 91(5): 585–593

    Google Scholar 

  • Xie Y, Ahmad S H, Yu T, Hino S, Chung W 1994 Shear ductility of RC beams of normal and high strength concrete, ACI Struct. J., 91(2): 140–149

    Google Scholar 

  • Yang K H, Chung H S, Lee E T, Eun H C 2003 Shear characteristics of HSC deep beams without shear reinforcements, Eng. Struct., 25: 1343–1352

    Article  Google Scholar 

  • Zararis P D, Papadakis G Ch 2001 Diagonal shear failure and size effect in RC beams without web reinforcement, Journal of Structural Eng., 127(8): 733–742

    Article  Google Scholar 

  • Zsutty T C 1968 Beam shear strength prediction by analysis of existing data, Proc. ACI J., 65(11): 943–951.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Civil Engineering, Indian Institute of Technology Madras, Chennai, 600 036, India

    G APPA RAO & S S INJAGANERI

  2. IWB, University of Stuttgart, Pfaffenwaldring 4, 70569, Stuttgart, Germany

    G APPA RAO

Authors
  1. G APPA RAO
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S S INJAGANERI
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G APPA RAO.

Rights and permissions

Reprints and permissions

About this article

Cite this article

APPA RAO, G., INJAGANERI, S.S. Evaluation of size dependent design shear strength of reinforced concrete beams without web reinforcement. Sadhana 36, 393–410 (2011). https://doi.org/10.1007/s12046-011-0029-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12046-011-0029-1

Keywords

Search

Navigation