Abstract
This paper reports on development of size dependent shear strength expression for reinforced concrete deep beams using refined strut-and-tie model. The generic form of the size effect law has been retained considering the merits of Siao’s model and modified Bazant’s size effect law using the large experimental data base reported in the literature. The proposed equation for predicting the shear strength of deep beams incorporates the compressive strength of concrete, ratios of the longitudinal and the web reinforcement, shear span-to-depth ratio and the effective depth.
Similar content being viewed by others
References
ACI 318 2008 Building code requirements for structural concrete (ACI 318-08) (318R-08) and commentary, American Concrete Institute, Farmington Hills, MI, 465 pp
AASHTO 2007 LRFD Bridge Design Specifications, American Association of State Highway and Transportation Officials, Washington, DC
Bazant Z P 1984 Size effect in blunt fracture: concrete, rock, metal. J. Eng. Mech., ASCE 110(EM4): 518–535
CSA Committee A23.3 1994 Design of Concrete Structures: Structures (Design)—A National Standard of Canada, Canadian Standards Association
de Paiva H A R, Siess C P 1965 Strength and behavior of deep beams in shear. J. Struct. Division, ASCE 91(ST5): 19–41
Kani G N J 1967 How safe are our large reinforced concrete beams? ACI J. Proc. 64(3): 128–141
Kong F K, Robbins P J, Cole D F 1970 Web reinforcement effects on deep beams. ACI J. Proc. 67(12): 1010–1017
Kim J K, Eo S H 1990 Size effect in concrete specimens with dissimilar initial cracks. Mag. Concr. Res. (London) 42(153): 233–238
Kim J K, Park Y D 1996 Prediction of shear strength of reinforced concrete beams without web reinforcement. ACI Mater. J. 93(3): 213–222
Kim D, Kim W, White R N 1999 Arch action in reinforced concrete beams–A rational prediction of shear strength. ACI Struct. J. 96(4): 586–593
Matamoros A B, Wong K H 2003 Design of simply supported deep beams using strut-and-tie models. ACI Struct. J. 100(6): 704–712
Oh J K, Shin S W 2001 Shear strength of reinforced high-strength concrete deep beams. ACI Struct. J. 98(2): 164–173
Russo G, Venir R, Pauletta M 2005 Reinforced concrete deep beams—shear strength model and design formula. ACI Struct. J. 102(3): 429–437
Schlaich J, Schafer K, Jennewein M 1987 Towards a consistent design of structural concrete. PCI J. 32(3): 74–150
Shioya T, Iguro M, Nojiri Y, Akiayma H, Okada T 1989 Shear strength of large reinforced concrete beams, fracture mechanics: Application to concrete, SP-118. (Detroit: American Concrete Institute) pp. 259–279
Siao W B 1993 Strut-and-tie model for shear behavior in deep beams and pile caps failing in diagonal splitting. ACI Struct. J. 90(4): 356–363
Smith K H, Vantsiotis A S 1982 Shear strength of deep beams. ACI J. Proc. 79(3): 201–213
Tan K H, Cheng G H 2006 Size effect on shear strength of deep beams: investigating with strut-and-tie model. J. Struct. Eng., ASCE 132(5): 673–685
Tan K H, Kong F K, Teng S, Guan L 1995, High-strength concrete deep beams with effective and shear span variations. ACI Struct. J. 92(4): 395–405
Tan K H, Tong K, Teng S 2001 Direct strut-and-tie model for prestressed deep beams. J. Struct. Eng. 127(9): 1076–1084
Tan K H, Tang C Y, Tong K 2003a, A direct method for deep beams with web reinforcement. Mag. Concr. Res. 55(1): 53–63
Tan K H, Tong K, Tang C Y 2003b, Consistent strut-and-tie modeling of deep beams with web openings. Mag. Concr. Res. 55(1): 65–75
Tang C Y, Tan K H 2004 Interactive mechanical model for shear strength of deep beams. ASCE J. Struct. Eng. 130(10): 1534–1544
Walsh P F 1972 Fracture of plain concrete. The Indian Concrete J. 46(11): 469–476
Zhang N, Tan K H 2007 Size effect in RC deeps: Experimental investigation and STM verification. Eng. Struct. 29: 3241–3254
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
APPA RAO, G., SUNDARESAN, R. Evaluation of size effect on shear strength of reinforced concrete deep beams using refined strut-and-tie model. Sadhana 37, 89–105 (2012). https://doi.org/10.1007/s12046-012-0068-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12046-012-0068-2