Comprehensive Model for Study of Shear in Thin-Webbed RC and PC Beams
Publication: Journal of Structural Engineering
Volume 121, Issue 12
Abstract
A model developed for the study of the individual contributions to shear capacity in reinforced concrete (RC) and prestressed concrete (PC) thin-webbed beams is improved here by introducing dowel action, nonuniform distribution of crack opening and slip, and plastic-strain accumulation in the stirrups. The proposed approach is based on the truss analogy and on the diagonal-compression concept, within the context of limit analysis: the failure in shear is related to the simultaneous yielding of the stirrups and the collapse of the compressive struts in shear compression. The model, which is not devised to be an alternative to other code-oriented and simpler models, has a threefold purpose: (1) To provide a viable and open-structure tool to assess the roles of various shear-resistant mechanisms; (2) to guarantee a ductile collapse in shear through a suitable design for the stirrups; and (3) to provide a key to the truss role in shear-sensitive reinforced beams. The proposed model is checked against many test data (RC and PC beams) and its predictions turn out to be markedly closer to test results than either EC2 or ACI codes.
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References
1.
Collins, M. P.(1978). “Towards a rational theory for R/C members in shear,”J. Struct. Div., ASCE, 104(4), 649–666.
2.
Collins, M. P. (1992). “The response of reinforced concrete elements subjected to shear.”Concrete shear in earthquake, T. C. C. Hsu and S. T. Mau, eds., Elsevier Applied Science, London, England, 13–23.
3.
de Borst, R., Feenstra, P. H., Pamin, J., and Sluys, L. J. (1994). “Some current issues in computational mechanics of concrete structures.”Proc., Int. Conf. EURO-C 1994 on Comp. Modelling of Concrete Struct., Vol. 1, N. Bicanic, R. De Borst, and H. Mang, eds., Pineridge Press, Swansea, Wales, 283–302.
4.
Dei Poli, S., di Prisco, M., and Gambarova, P. G. (1990). “Stress field in web of R/C thin-webbed beams failing in shear.”J. Struct. Engrg., ASCE 116(9), 2496–2515.
5.
Dei Poli, S., di Prisco, M., and Gambarova, P. G.(1993). “Cover and stirrup effects on the shear response of dowel bar embedded in concrete.”ACI Struct. J., 90(4), 441–450.
6.
Dei Poli, S., Gambarova, P. G., and Karakoç, C.(1987). “Aggregate interlock role in R/C thin-webbed beams in shear.”J. Struct. Engrg., ASCE, 113(1), 1–19.
7.
“Design code.” (1993). Bull. N. 213/214, London, England.
8.
“Design of concrete structures. I: General rules and rules for buildings.” (1990). EuroCode 2(EC2), EuroCode Editorial Group, Commission of Eur. Communities (CEC), Brussels, Belgium.
9.
di Prisco, M., and Gambarova, P. G. (1994). “Validation of an improved truss model for shear in R/C and P/C beams.”Studi e Ricerche, Vol. 15, Milan Univ. of Technol., Milan, Italy, 73–102.
10.
Drucker, D. C. (1961). “On structural concrete and the theorems of limit analysis.”IABSE Struct. Engrg. Publ., Vol. 21, 49–59.
11.
Giuriani, E. (1982). “On the effective axial stiffness of a bar in cracked concrete.”Bond in concrete, P. Bartos, ed., Applied Science Publishers, London, England, 107–125.
12.
Hsu, T. T. C. (1993). Unified theory of reinforced concrete . CRC Press, Boca Raton, Fla.
13.
Kordina, K., Hegger, J., and Teutsch, M.(1989). “Shear strength of prestressed concrete beams with unbonded tendons.”ACI Struct. J., 86(2), 143–149.
14.
Kupfer, H., Mang, R., and Karavesyroglou, M. (1983). “Failure of the shear zone in R/C and P/C beams—theoretical analysis including aggregate interlock.”Bull. No. 58, Bauingenieur, Berlin, Germany, 143–149 (in German).
15.
Marro, P. (1987). “Bending and shear tests up to failure of beams made with high-strength concrete.”Proc., Symp. on Utilization of High-Strength Concrete.” J. Holand and S. Helland, eds., Tapir Publishing Co., Trondheim, Norway.
16.
Nielsen, M. P., Braestrup, M. W., and Bach, F. (1978). “Rational analysis of shear in reinforced concrete beams.”IABSE Proc., P15/78.
17.
Ramirez, J. A., and Breen, J. E. (1991). “Evaluation of a modified truss-model approach for beams in shear.”ACI Struct. J., 88(5), 562– 571.
18.
Regan, P. E., and Rezai-Jorabi, H. (1988). “The shear resistance of reinforced concrete I-beams.”Studi e Ricerche, Vol. 9, Milan Univ. of Technol., Milan, Italy, 305–321.
19.
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.
20.
Rezai-Jorabi, H., and Regan, P. E. (1986). “Shear resistance of prestressed concrete beams with inclined tendons.”The Struct. Engr., London, England, 64B(3), 63–75.
21.
“Shear and torsion.” (1990). ACI manual of concrete practice, American Concrete Institute (ACI), Detroit, Mich.
22.
Vecchio, F. J., and Collins, M. P.(1986). “The modified compression field theory for reinforced concrete elements subjected to shear.”ACI Struct. J., 83(2), 219–231.
23.
Walraven, J., and Reinhardt, H. W. (1981). “Theory and experiments on the mechanical behavior of cracks in plain and reinforced concrete subjected to shear loading.”Heron, 26(1A).
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Copyright © 1995 American Society of Civil Engineers.
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Published online: Dec 1, 1995
Published in print: Dec 1995
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