Presliding Shear Failure in Prestressed RC Beams. I: Partial-Interaction Mechanism
Publication: Journal of Structural Engineering
Volume 140, Issue 10
Abstract
Despite significant experimental, numerical and analytical research, the shear behavior of reinforced concrete members remains one of the least well understood mechanisms in reinforced concrete. Because of the complexity of shear behavior, empirical or semiempirical analysis approaches have typically been developed and these are widely employed in codes of practice. As with all empirical models, they should only be applied within the bounds of the tests from which they were derived which restricts the wide application of innovative materials as expensive testing must be performed to adjust existing empirical formulae or develop empirical formulae specific to the new materials. There is, therefore, a strong need to develop a generic, mechanics-based model to describe shear failure, which is the subject of this paper. The model is based on the mechanics of partial interaction, that is, slip between reinforcement and adjacent concrete which allows for crack formation and widening and is commonly referred to as tension-stiffening and slip across sliding planes in concrete associated with shear failure, which is referred to as shear friction.
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Acknowledgments
The authors would like to acknowledge the support of the Australian Research Council ARC Discovery Project DP0985828, ”A unified reinforced concrete model for flexure and shear.” The first author also thanks the China Scholarship Council for financial support.
References
American Concrete Institute (ACI) Committee 318. (2008). “Building code requirements for structural concrete and Commentary.”, Farmington Hills, MI.
Avendano, A. R., and Bayrak, O. (2011). “Efficient shear reinforcement design limits for prestressed concrete beams.” ACI Struct. J., 108(6), 689–697.
Bazant, Z. P., and Kazemi, M. T. (1991). “Size effect on diagonal shear failure of beams without stirrups.” ACI Struct. J., 88(3), 268–276.
Bažant, Z. P., and Sun, H. H. (1987). “Size effect in diagonal shear failure—influence of aggregate size and stirrups.” ACI Mater. J., 84(4), 259–272.
Bažant, Z. P., and Zhiping, C. (1986). “Size effect of shear failure in prestressed concrete beams.” J. Am. Concr. Inst., 83(2), 260–268.
Bennett, E. W., and Debaiky, S. Y. (1974). “High-strength steel as shear reinforcement in prestressed concrete beams.” Shear Reinf. Concr., SP-42, 231–248.
Bennett, E. W., and Mlingwa, G. (1980). “Cracking and shear-strength of beams with prestressed web reinforcement.” Struct. Eng. B, 58(14), 25–32.
Bentz, E. C., Vecchio, F. J., 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.
Birkeland, P. W., and Birkeland, H. W. (1966). “Connections in precast concrete construction.” ACI J. Proc., 63(3), 345–368.
Bruce, R. N. (1962). “An experimental study of the action of web reinforcement in prestressed concrete beams.” Ph.D. thesis, Univ. of Illinois, Urbana, IL.
Choi, K. K., Park, H. G., and Wight, J. K. (2007). “Unified shear strength model for reinforced concrete beams—Part I: Development.” ACI Struct. J., 104(2), 142–152.
Cladera, A., and Mari, A. R. (2006). “Shear design of prestressed and reinforced concrete beams.” Mag. Concr. Res., 58(10), 713–722.
Collins, M. P., Bentz, E. C., Sherwood, E. G., and Xie, L. (2008b). “An adequate theory for the shear strength of reinforced concrete structures.” Mag. Concr. Res., 60(9), 635–650.
Collins, M. P., Mitchell, D., Adebar, P., and Vecchio, F. J. (1996). “A general shear design method.” ACI Struct. J., 93(1), 36–45.
Collins, M. R., Bentz, E. C., and Sherwood, E. G. (2008a). “Where is shear reinforcement required? Review of research results and design procedures.” ACI Struct. J., 105(5), 590–600.
Elzanaty, A. H., Nilson, A. H., and Slate, F. O. (1986). “Shear capacity of prestressed concrete beams using high-strength concrete.” J. Am. Concr. Inst., 83(3), 359–368.
European Committee for Standardization (CEN). (1991). “Eurocode 2: Design of concrete structures, part 1: general rules and rules for buildings.”, Brussels, Belgium.
Hanson, J. M. (1964). “Ultimate shear strength of prestressed concrete beams with web reinforcement.” Ph.D. thesis, Lehigh Univ., Bethlehem, PA.
Haskett, M., Oehlers, D. J., and Ali, M. S. M. (2008). “Local and global bond characteristics of steel reinforcing bars.” Eng. Struct., 30(2), 376–383.
Haskett, M., Oehlers, D. J., Ali, M. S. M., and Sharma, S. K. (2010). “The shear friction aggregate interlock resistance across sliding planes in concrete.” Mag. Concr. Res., 62(12), 907–924.
Haskett, M., Oehlers, D. J., Ali, M. S. M., and Sharma, S. K. (2011). “Evaluating the shear-friction resistance across sliding planes in concrete.” Eng. Struct., 33(4), 1357–1364.
Hernandez, G. (1958). “Strength of prestressed concrete beams with web reinforcement.” Ph.D. thesis, Univ. of Illinois, Urbana, IL.
Hoang, L. C., and Jensen, U. G. (2010). “Rigid plastic solutions for the maximum shear capacity of confined RC members.” Mag. Concr. Res., 62(9), 625–636.
Hoang, L. C., and Nielsen, M. P. (1998). “Plasticity approach to shear design.” Cem. Concr. Comp., 20(6), 437–453.
Hsu, T. T. C., Laskar, A., and Mo, Y. L. (2010). “Shear strengths of prestressed concrete beams part 2: Comparisons with ACI and AASHTO provisions.” ACI Struct. J., 107(3), 340–345.
Hsu, T. T. C., Mau, S. T., and Chen, B. (1987). “Theory of shear transfer strength of reinforced-concrete.” ACI Struct. J., 84(2), 149–160.
Hwang, S. J., and Lee, H. J. (2002). “Strength prediction for discontinuity regions by softened strut-and-tie model.” J. Struct. Eng., 1519–1526.
Jensen, U. G., and Hoang, L. C. (2009). “Shear strength prediction of circular RC members by the crack sliding model.” Mag. Concr. Res., 61(9), 691–703.
Jensen, U. G., Hoang, L. C., Joergensen, H. B., and Fabrin, L. S. (2010). “Shear strength of heavily reinforced concrete members with circular cross section.” Eng. Struct., 32(3), 617–626.
Joint ACI-ASCE Committee 445. (1998). “Recent approaches to shear design of structural concrete.” J. Struct. Eng., 1375–1417.
Kang, G. Y., Wu, Z. M., Wang, L. Y., and Xue, B. H. (1989). “Ultimate shear tests of prestressed concrete I-beams.” P I Civil Eng Pt 2, 87(3), 401–414.
Kani, G. N. J. (1964). “The riddle of shear failure and its solution.” ACI Struct. J., 61(4), 441–468.
Kar, J. N. (1969). “Shear strength of prestressed concrete beams without web reinforcement.” Mag. Concr. Res., 21(68), 159–170.
Kaufman, M. K., and Ramirez, J. A. (1988). “Re-Evaluation of the ultimate shear behavior of high-strength concrete prestressed I-beams.” ACI Struct. J., 85(3), 295–303.
Knight, D., Visintin, P., Oehlers, D. J., and Jumaat, M. Z. (2013a). “Incorporating residual strains in the flexural regidity of RC members.” Adv. Struct. Eng., 16(10), 1701–1718.
Knight, D., Visintin, P., Oehlers, D. J., and Jumaat, M. Z. (2013b). “Short term partial interaction behaviour of RC beams with prestressed FRP and steel.” J. Compos. Construct., 04013029.
Kordina, K., Hegger, J., and Teutsch, M. (1989). “Shear-strength of prestressed concrete beams with unbonded tendons.” ACI Struct. J., 86(2), 143–149.
Laskar, A., Hsu, T. T. C., and Mo, Y. L. (2010). “Shear strengths of prestressed concrete beams part 1: Experiments and shear design equations.” ACI Struct. J., 107(3), 330–339.
Lucas, W., Oehlers, D. J., and Ali, M. (2011). “Formulation of a shear resistance mechanism for inclined cracks in RC beams.” J. Struct. Eng., 1480–1488.
Lucas, W. D. (2011). “The discrete rotation behaviour of reinforced concrete beams under shear loading.” Ph.D. thesis, Univ. of Adelaide, Australia.
Macgregor, J. G. (1960). “Strength and behavior of prestressed concrete beams with web reinforcement.” Ph.D. thesis, Univ. of Illinois, Urbana, IL.
MacGregor, J. G., Sozen, M. A., and Siess, C. P. (1965). “Strength of prestressed concrete beams with web reinforcement.” ACI J. Proc., 62(12), 1503–1520.
Maruyama, K., and Rizkalla, S. H. (1988). “Shear design consideration for pretensioned prestressed beams.” ACI Struct. J., 85(5), 492–498.
Mattock, A. H., and Hawkins, N. M. (1972). “Shear transfer in reinforced-concrete—recent research.” J. Prestr. Concr. Inst., 17(2), 55–75.
Mcmullen, A. E., and Woodhead, H. R. (1973). “Experimental study of prestressed concrete under combined torsion, bending, and shear.” J. Prestr. Concr. Inst., 18(5), 85–100.
Mohamed Ali, M. S., Oehlers, D. J., and Griffith, M. C. (2008). “Shear transfer across cracks in FRP strengthened RC members.” J. Compos. Construct., 416–424.
Mohamed Ali, M. S., Oehlers, D. J., Haskett, M., and Griffith, M. C. (2012). “Discrete rotation in RC beams.” J. Eng. Mech., 1317–1325.
Mohamed Ali, M. S., Oehlers, D. J., and Seracino, R. (2006). “Vertical shear interaction model between external FRP transverse plates and internal steel stirrups.” Eng. Struct., 28(3), 381–389.
Mörsch, E. (1909). Concrete-steel construction, McGraw-Hill, New York.
Muhamad, R., Ali, M. S. M., Oehlers, D., and Sheikh, A. H. (2011). “Load-slip relationship of tension reinforcement in reinforced concrete members.” Eng. Struct., 33(4), 1098–1106.
Muhamad, R., Ali, M. S. M., Oehlers, D. J., and Griffith, M. (2012). “The tension stiffening mechanism in reinforced concrete prisms.” Adv. Struct. Eng., 15(12), 2053–2069.
Nielsen, M. P., Braestrup, M. W., Jensen, B. C., and Bach, F. (1978). “Concrete plasticity, beam shear–shear in joints–punching shear.” Special Publication, Danish Society for Structural Science and Engineering, Structural Research Laboratory, Technical Univ. of Denmark, Lyngby, Denmark.
Oehlers, D. J., Ali, M. S. M., Haskett, M., Lucas, W., Muhamad, R., and Visintin, P. (2011a). “FRP-Reinforced concrete beams: unified approach based on IC theory.” J. Compos. Construct., 293–303.
Oehlers, D. J., Haskett, M., Ali, M. S. M., Lucas, W., and Muhamad, R. (2011b). “Our obsession with curvature in RC beam modelling.” Adv. Struct. Eng., 14(3), 391–404.
Ojha, S. K. (1967). “Shear strength of rectangular reinforced and prestressed concrete beams.” Mag. Concr. Res., 19(60), 173–184.
Olesen, S., Sozen, M. A., and Siess, C. P. (1967). “Investigation of prestressed reinforced concrete for highway bridges, part IV: Strength in shear of beams with web reinforcement.” Engineering Experiment Station Bulletin 493, Univ. of Illinois Urbana-Champaign, Urbana.
Park, H. G., Choi, K. K., and Wight, J. K. (2006). “Strain-based shear strength model for slender beams without Web reinforcement.” ACI Struct. J., 103(6), 783–793.
Park, H. G., Kang, S., and Choi, K. K. (2013). “Analytical model for shear strength of ordinary and prestressed concrete beams.” Eng. Struct., 46, 94–103.
Park, J. W., and Kuchma, D. (2007). “Strut-and-tie model analysis for strength prediction of deep beams.” ACI Struct. J., 104(6), 657–666.
Reineck, K. H. (1991). “Ultimate shear force of structural concrete members without transverse reinforcement derived from a mechanical model.” ACI Struct. J., 88(5), 592–602.
Reineck, K.-H., Kuchma, D. A., Kim, K. S., and Marx, S. (2003). “Shear database for reinforced concrete members without shear reinforcement.” ACI Struct. J., 100(2), 240–249.
Ritter, W. (1899). “Die bauweise hennebique.” Schweizerische Bauzeitung, 33(7), 59–61.
Robertson, I. N., and Durrani, A. J. (1987). “Shear-strength of prestressed concrete t-beams with welded wire fabric as shear reinforcement.” J. Prestr. Concr. Inst., 32(2), 46–61.
Russo, G., and Puleri, G. (1997). “Stirrup effectiveness in reinforced concrete beams under flexure and shear.” ACI Struct. J., 94(3), 227–238.
Saqan, E. I., and Frosch, R. J. (2009). “Influence of flexural reinforcement on shear strength of prestressed concrete beams.” ACI Struct. J., 106(1), 60–68.
Shahawy, M. A., and Cai, C. S. (1999). “A new approach to shear design of prestressed concrete members.” PCI J., 44(4), 92–117.
Sheikh, M. A., Depaiva, H. A. R., and Neville, A. M. (1968). “Calculation of flexure-shear strength of prestressed concrete beams.” PCI J., 13(1), 68–85.
Sozen, M. A., Zwoyer, E. M., and Siess, C. P. (1959). “Strength in shear of beams without web reinforcement.” Engineering Experiment Station Bulletin No. 452, Univ. of Illinois, Urbana, IL, 69.
Standards Australia. (2009). “Concrete structures.” AS 3600-2009, Sydney, Australia.
Teng, S., Kong, F. K., and Poh, S. P. (1998). “Shear strength of reinforced and prestressed concrete deep beams. Part II: The supporting evidence.” Proc., ICE—Struct. Build., 128(2), 124–143.
Tompos, E. J., and Frosch, R. J. (2002). “Influence of beam size, longitudinal reinforcement, and stirrup effectiveness on concrete shear strength.” ACI Struct. J., 99(5), 559–567.
Vecchio, F. J., and Collins, M. P. (1986). “The modified compression-field theory for reinforced-concrete elements subjected to shear.” ACI J. Proc., 83(2), 219–231.
Vecchio, F. J., and Collins, M. P. (1988). “Predicting the response of reinforced-concrete beams subjected to shear using modified compression field-theory.” ACI Struct. J., 85(3), 258–268.
Visintin, P., Oehlers, D. J., Wu, C., and Haskett, M. (2012a). “A mechanics solution for hinges in RC beams with multiple cracks.” Eng. Struct., 36, 61–69.
Visintin, P., Oehlers, D. J., Wu, C., and Haskett, M. (2012b). “Mechanics based hinge for reinforced concrete columns.” J. Struct. Eng., 139(11), 1973–1980.
Walraven, J., Frenay, J., and Pruijssers, A. (1987). “Influence of concrete strength and load history on the shear friction capacity of concrete members.” PCI J., 32(1), 66–84.
Wolf, T. S., and Frosch, R. J. (2007). “Shear design of prestressed concrete: A unified approach.” J. Struct. Eng., 1512–1519.
Yu, Q., and Bazant, Z. P. (2011). “Can stirrups suppress size effect on shear strength of RC beams?.” J. Struct. Eng., 607–617.
Zararis, P. D., and Papadakis, G. C. (2001). “Diagonal smear failure and size effect in RC beams without web reinforcement.” J. Struct. Eng., 733–742.
Zhang, J. P. (1997). “Diagonal cracking and shear strength of reinforced concrete beams.” Mag. Concr. Res., 49(178), 55–65.
Zhang, T., Oehlers, D. J., Griffith, M. C., and Haskett, M. (2012). “A mechanics-based numerical model for quantifying the shear capacity of prestressed concrete beams.”, Univ. of Adelaide, Australia.
Zhang, T., Visintin, P., Oehlers, D. J., and Griffith, M. C. (2014). “Presliding shear failure in prestressed RC beams. II: Behavior.” J. Struct. Eng., 04014070.
Zwoyer, E. M. (1953). “Shear strength of simply-supported prestressed concrete beams.” Bulletin No. 53, Structural Research Series, Univ. of Illinois, Urbana, IL, 1–151.
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Published In
Journal of Structural Engineering
Volume 140 • Issue 10 • October 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: May 9, 2013
Accepted: Oct 28, 2013
Published online: May 13, 2014
Published in print: Oct 1, 2014
Discussion open until: Oct 13, 2014
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