Unified Shear Design Equation for Concrete Members Reinforced with Fiber-Reinforced Polymer without Stirrups
Publication: Journal of Composites for Construction
Volume 17, Issue 5
Abstract
Recent shear tests at Memorial University of Newfoundland that were conducted on beams reinforced with fiber-reinforced polymer (FRP) bars without stirrups showed that there is a relationship between the flexural cracking load and the shear capacity of the beams. Based on this relationship, a simple and unified equation for calculating the concrete contribution to the shear capacity of FRP-reinforced beams is proposed. The proposed equation accounts for the effect of shear span-to-depth ratio, axial stiffness of the longitudinal reinforcement, size of the member, and concrete strength. The prediction of the proposed equation has been evaluated by comparing the calculated shear capacity with the corresponding test results of 132 FRP-reinforced rectangular specimens without stirrups. The predictions of the shear capacity using the proposed equation are compared with those obtained using the shear equations in existing design codes and guidelines for FRP-reinforced beams in Japan and North America. It is found than the predictions of the proposed equation are more consistent than those obtained from the existing codes and guidelines.
Get full access to this article
View all available purchase options and get full access to this article.
References
Alam, M. S. (2010). “Influence of different parameters on shear strength of FRP reinforced concrete beams without web reinforcement.” Ph.D. dissertation, Faculty of Engineering and Applied Science, Memorial Univ. of Newfoundland, St. John’s, NL, Canada.
Alam, M. S., and Hussein, A. (2009). “Experimental investigation of size effect on shear strength of FRP reinforced concrete beams.” Proc., 4th Int. Conf. on Construction Materials: Performance, Innovations and Structural Implications, Japan Concrete Institute, Tokyo, Japan.
Alam, M. S., and Hussein, A. (2011). “Experimental investigation on the effect of longitudinal reinforcement on shear strength of fiber reinforced polymer reinforced concrete beams.” Can. J. Civ. Eng., 38(3), 243–251.
Alam, M. S., and Hussein, A. (2012). “Effect of member depth on shear strength of high strength FRP reinforced concrete beams.” J. Compos. Constr., 16(2), 119–126.
Alkhrdaji, T., Wideman, M., Belarbi, A., and Nanni, A. (2001). “Shear strength of GFRP RC beams and slabs.” Proc., Composites in Construction, J. Figuerias, et al., eds., Swets and Zeitlinger, Lisse, Netherlands, 409–414.
AASHTO. (2009). AASHTO-LRFD bridge design guide specifications for GFRP-reinforced concrete bridge decks and traffic railings, Washington, DC.
American Concrete Institute (ACI). (2001). “Control of cracking in concrete structures.” Technical Committee Document 224R-01, Farmington Hills, MI.
American Concrete Institute (ACI). (2006). “Guide for the design and construction of structural concrete reinforced with FRP bars.” Technical Committee Document 440.1R-06, Farmington Hills, MI.
ASCE-ACI Committee 445 on Shear, and Torsion. (1998). “Recent approaches to shear design of structural concrete.” J. Struct. Eng., 124(12), 1375–1417.
Ashour, A. F. (2005). “Flexural and shear capacities of concrete beams reinforced with GFRP bars.” Constr. Build. Mater., 20(10), 1005–1015.
Bentz, E. C., Massam, L., and Collins, M. P. (2010). “Shear strength of large concrete members with FRP reinforcement.” J. Compos. Constr., 14(6), 637–646.
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.
Canadian Highway Bridge Design Code (CHBDC). (2010). “Supplement #1 to CAN/CSA-S6-06, Canadian Highway Bridge Design Code (CHBDC).” CSA S6S1-10, Rexdale, ON, Canada.
Canadian Standard Association (CSA). (2002). “Design and construction of building components with fiber reinforced polymers.” CSA S806-02, Rexdale, ON, Canada.
Canadian Standard Association (CSA). (2004). “Design of concrete structures.” CSA A23.3-04, Rexdale, ON, Canada.
Deitz, D. H., Harik, I. E., and Gesund, H. (1999). “One-way slabs reinforced with glass fiber reinforced polymer reinforcing bars.” Proc., 4th Int. Symp. Fiber Reinforced Polymer Reinforcement for Reinforced Concrete Structures, American Concrete Institute, Farmington Hills, MI, 279–286.
El-Sayed, A. K., El-Salakawy, E. F., and Benmokrane, B. (2005). “Shear strength of one-way concrete slabs reinforced with fiber-reinforced polymer composite bars.” J. Compos. Constr., 9(2), 147–157.
El-Sayed, A. K., El-Salakawy, E. F., and Benmokrane, B. (2006a). “Shear strength of FRP-reinforced concrete beams without transverse reinforcement.” ACI Struct. J., 103(2), 235–243.
El-Sayed, A. K., El-Salakawy, E. F., and Benmokrane, B. (2006b). “Shear capacity of high-strength concrete beams reinforced with FRP bars.” ACI Struct. J., 103(3), 383–389.
Faza, S. S., and Gangarao, H. V. S. (1993). “Theoretical and experimental correlation of behavior of concrete beams reinforced with fiber reinforced plastic rebars.” Fiber-Reinforced-Plastic Reinforcement for Concrete Structures—Int. Symp., A. Nanni and C. W. Dolan, eds., American Concrete Institute, Farmington Hills, MI, 559–614.
Gross, S. P., Dinehart, D. W., and Yost, J. R. (2004). “Experimental test of high-strength concrete beams reinforced CFRP bars.” Proc., 4th Int. Conf. on Advanced Composite Materials in Bridges and Structures (CD-ROM), Univ. Calgary, Calgary, AB, Canada.
Gross, S. P., Yost, J. R., Dinehart, D. W., Svensen, E., and Liu, N. (2003). “Shear strength of normal and high strength concrete beams reinforced with GFRP bars.” Proc., Int. Conf. on High Performance Materials in Bridges, ASCE, New York, 426–437.
Guadagnini, M., Pilakoutas, K., and Waldron, P. (2006). “Shear resistance of FRP RC beams: Experimental study.” J. Compos. Constr., 10(6), 464–473.
ISIS Canada. (2001). “Reinforcing concrete structures with fibre reinforced polymers.”, Canadian Network of Centers of Excellence on Intelligent Sensing for Innovative Structures, Winnipeg, MB, Canada.
Japan Society of Civil Engineers (JSCE). (1997). “Recommendations for design and construction of concrete structures using continuous fiber reinforced materials (design).” Concrete Library Int. of JSCE No. 30, A. Machida, ed., JSCE Research Subcommittee on Continuous Fiber Reinforced Materials, Tokyo, Japan.
MacGregor, J. G., and Bartlett, F. M. (2000). Reinforced Concrete: Mechanics and Design, Prentice Hall Canada, Scarborough, ON, Canada.
Nanni, A. (1993). “Flexural behavior and design of reinforced concrete using FRP rods.” J. Struct. Eng., 119(11), 3344–3359.
National Cooperative Highway Research Program (NCHRP). (2005). “Simplified shear design of structural concrete members.”, Transportation Research Board, Washington, DC.
Razaqpur, A. G., and Isgor, B. O. (2006). “Proposed shear design method for FRP-reinforced concrete members without stirrups.” ACI Struct. J., 103(1), 93–102.
Razaqpur, A. G., Isgor, B. O., Greenway, S., and Shelley, A. (2004). “Concrete contribution to the shear resistance of fiber reinforced polymer reinforced concrete members.” J. Compos. Constr., 8(5), 452–460.
Steiner, S., El-Sayed, A. K., Benmokrane, B., Matta, F., and Nanni, A. (2008). “Shear strength of large-size concrete beams reinforced with glass FRP bars.” Proc., 5th Int. Conf. on Advanced Composites Materials in Bridges and Structures, Curran, Red Hook, NY, 172–181.
Tariq, M., and Newhook, J. P. (2003). “Shear testing of FRP reinforced concrete without transverse reinforcement.” Annual Conf. of the Canadian Society for Civil Engineering, 1330–1339.
Tureyen, A. K., and Frosch, R. J. (2002). “Shear test of FRP-reinforced concrete beams without stirrups.” ACI Struct. J., 99(4), 427–434.
Tureyen, A. K., and Frosch, R. J. (2003). “Concrete shear strength: Another perspective.” ACI Struct. J., 100(5), 609–615.
Yost, J. R., Gross, S. P., and Dinehart, D. W. (2001). “Shear strength of normal strength concrete beams reinforced with deformed GFRP bars.” J. Compos. Const., 5(4), 268–275.
Information & Authors
Information
Published In
Journal of Composites for Construction
Volume 17 • Issue 5 • October 2013
Pages: 575 - 583
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Feb 2, 2012
Accepted: Oct 19, 2012
Published online: Oct 20, 2012
Discussion open until: Mar 20, 2013
Published in print: Oct 1, 2013
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.