Technical Papers
Oct 19, 2015

Design Equations for Flexural Capacity of Concrete Beams Reinforced with Glass Fiber–Reinforced Polymer Bars

Publication: Journal of Composites for Construction
Volume 20, Issue 3

Abstract

The flexural failure mode of concrete beams reinforced with glass fiber-reinforced polymer (GFRP) bars changes from GFRP rupture to concrete crushing as the reinforcement ratio increases. Due to the uncertainties of material strengths, assumptions made in analysis, and variations in locations of reinforcements and dimensions of sections, there is a transition region where both flexural failure modes are possible. An iterative procedure is required when GFRP rupture governs the design. To avoid this iteration, the current American standard adopts a simplified but conservative procedure. In this study, the upper bound of the reinforcement ratio for beams in the transition region is revised. Moreover, a simplified yet rational design equation for calculating the flexural capacity of under-reinforced beams is proposed based on rigorous sectional analyses. Also, alternative design equations based on regression analyses are developed to predict the flexural capacity of beams in the transition region and over-reinforced beams, respectively. Moreover, the performance of the proposed equations is compared to that of design equations of recent standards by comparing their predictions with experimental results of 173 GFRP reinforced concrete beams collected from the available literature.

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Acknowledgments

The authors gratefully acknowledge the financial support provided by the National Basic Research Program of China (Project No. 2012CB026201) and the Project of Shanghai Science Technology Commission (No. 14DZ1208302).

References

ACI (American Concrete Institute). (2006). “Guide for the design and construction of concrete reinforced with FRP bars.” ACI 440.1 R-06, Farmington Hills, MI.
ACI (American Concrete Institute). (2011). “Building code requirements for structural concrete (ACI 318-11) and commentary.” ACI 318-11, Farmington Hills, MI.
Almusallam, T. H., Al-Salloum, Y. A., Al-Sayed, S. H., and Amjad, M. A. (1997). “Behavior of concrete beams doubly reinforced by FRP bars.” Proc., 3rd Int. RILEM Symp. on Non-Metallic (FRP) Reinforcement for Concrete Structures, RILEM, Bagneux, France, 471–478.
Al-Salloum, Y. A., Al-Sayed, S. H., Almusallam, H. T., and Amjad, M. A. (1996). “Some design considerations for concrete beams reinforced by glass fiber reinforced plastics (GFRP) bars.” Proc.,1st Int. Conf. on Composites in Infrastructure, Kluwer Academic, Dordrecht, Netherlands, 318–331.
Al-Sayed, S. H., Al-Salloum, Y. A., and Almusallam, T. H. (2000). “Performance of glass fibre reinforced plastic bars as a reinforcing material for concrete structures.” Compos. Part B, 31(6–7), 555–567.
Ashour, A. F. (2006). “Flexural and shear capacities of concrete beams reinforced with GFRP bars.” Constr. Build. Mater., 20(10), 1005–1015.
Bank, L. C. (2006). Composites for construction: Structural design with FRP materials, Wiley, New York.
Barris, C., Torres, L., Turon, A., Baena, M., and Catalan, A. (2009). “An experimental study of the flexural behavior of GFRP RC beams and comparison with prediction models.” Compos. Struct., 91(3), 286–295.
Benmokrane, B., Chaallal, O., and Masmoudi, R. (1995). “Glass fiber reinforced plastic (GFRP) rebars for concrete structures.” Constr. Build. Mater., 9(6), 353–364.
Benmokrane, B., Chaallal, O., and Masmoudi, R. (1996). “Flexural response of concrete beams reinforced with FRP reinforcing bars.” ACI Struct. J., 91(2), 46–55.
Benmokrane, B., and Masmoudi, R. (1996). “FRP C-Bar as reinforcing rod for concrete structures.” Proc., 2nd Int. Conf. on Advanced Composite Materials in Bridges and Structures, M. El-Badry, ed., Canadian Society of Civil Engineering, Montreal, 177–188.
Brown, V. L., and Bartholomew, C. L. (1993). “FRP reinforcing bars in reinforced concrete members.” ACI Mater. J., 90(1), 34–39.
Brown, V. L., and Bartholomew, C. L. (1996). “Long-term deflections of GFRP-reinforced concrete beams.” Fiber Composites in Infrastructure: Proc., 1st Int. Conf. on Composites in Infrastructure ICCI’96, H. Saadatmanesh and M. R. Ehsani, eds., ICCI, Tucson, AZ, 389–400.
Choi, K., Urgessa, G., Taha, M., and Maji, A. (2008). “Quasi-balanced failure approach for evaluating moment capacity of FRP underreinforced concrete beams.” J. Compos. Constr., 236–245.
CSA (Canadian Standards Association). (2002). “Design and construction of building components with fiber-reinforced polymers.” CSA S806-02, Mississauga, Canada.
Duranavic, N., Pilakoutas, K., and Waldron, P. (1997). “Test on concrete beams reinforced with glass fibre reinforced plastic bars.” Proc., 3rd Int. Symp., Non-Metallic (FRP) Reinforcement for Concrete Structures, Japan Concrete Institute, Tokyo, 479–486.
El-Nemr, A., Ahmed, E. A., and Benmokrane, B. (2013). “Flexural behavior and serviceability of normal-and high-strength concrete beams reinforced with glass fiber-reinforced polymer bars.” ACI Struct. J., 110(6), 1077–1088.
Faza, S. S. (1991). “Bending and bond behavior and design of concrete beams reinforced with fiber reinforced plastic rebars.” Ph.D. dissertation, West Virginia Univ., Morgantown, WV, 200.
FIB (Fédération Internationale du Béton). (2007). “FRP reinforcement in RC structures.” Lausanne, Switzerland.
Gao, D. Y., and Benmokrane, B. (2001). “Calculation method of flexural capacity of GFRP-reinforced concrete beam.” J. Hydraul. Eng., 2001(9), 73–80 (in Chinese).
Haldar, A., and Mahadevan, S. (2000). Probability, reliability and statistical method in engineering design, Wiley, New York.
ISIS Canada (Intelligent Sensing for Innovative Structures, Canadian Network of Excellence). (2007). “Reinforcing concrete structures with fibre reinforced polymers.”, Winnipeg, Canada.
Italian Research Council. (2006). “Guide for the design and construction of concrete structures reinforced with fiber-reinforced polymer bars.” CNR DT-203/2006, Rome.
Kara, I. F., and Ashour, A. F. (2012). “Flexural performance of FRP reinforced concrete beams.” Compos. Struct., 94(5), 1616–1625.
Kassem, C., Farghaly, A. S., and Benmokrane, B. (2011). “Evaluation of flexural behavior and serviceability performance of concrete beams reinforced with FRP bars.” J. Compos. Constr., 682–695.
Lau, D., and Pam, H. J. (2010). “Experimental study of hybrid FRP reinforced concrete beams.” Eng. Struct., 32(12), 3857–3865.
MacGregor, J. G. (1997). Reinforced concrete: Mechanics and design, Prentice-Hall, Upper Saddle River, NJ.
Masmoudi, R., Thériault, M., and Benmokrane, B. (1998). “Flexural behavior of concrete beams reinforced with deformed fiber reinforced plastic reinforcing rods.” ACI Struct. J., 95(6), 665–675.
Nanni, A. (1993). “Flexural behavior and design of RC members using FRP reinforcement.” J. Struct. Eng., 3344–3359.
Nanni, A., Luca, D. A., and Zadeh, H. J. (2014). Reinforced concrete with FRP bars: Mechanics and design, CRC Press, New York.
Nawy, E. G., and Neuwerth, G. E. (1971). “Behavior of fiber glass reinforced concrete beams.” J. Struct. Div., 97(9), 2203–2215.
Nawy, E. G., and Neuwerth, G. E. (1977). “Fiberglass reinforced concrete slabs and beams.” J. Struct. Div., 103(2), 421–440.
Pecce, M., Manfredi, G., and Cosenza, E. (2000). “Experimental response and code models of GFRP RC beams in bending.” J. Compos. Constr., 182–190.
Saikia, B., Kumar, P., Thomas, J., Rao, K. S. N., and Ramaswamy, A. (2007). “Strength and serviceability performance of beams reinforced with GFRP bars in flexure.” Constr. Build. Mater., 21(8), 1709–1719.
Sonobe, Y., et al. (1997). “Design guidelines of FRP reinforced concrete building structures.” J. Compos. Constr., 90–115.
Thériault, M., and Benmokrane, B. (1998). “Effects of FRP reinforcement ratio and concrete strength on flexural behavior of concrete beams.” J. Compos. Constr., 7–16.
Todeschini, C. E., Bianchini, A. C., and Kesler, C. E. (1964). “Behavior of concrete columns reinforced with high strength steels.” ACI J., 61(6), 701–716.
Toutanji, H. A., and Saafi, M. (2000). “Flexural behavior of concrete beams reinforced with glass fiber-reinforced polymer (GFRP) bars.” ACI Struct. J., 97(5), 712–719.
Vijay, P. V., and GangaRao, H. V. S. (1996). “A unified limit state approach using deformability factors in concrete beams reinforced with GFRP bars.” Proc., 4th Materials Conf. on Materials for the New Millennium, ASCE, Reston, VA, 657–665.
Vijay, P. V., and GangaRao, H. V. S. (2001). “Bending behavior and deformability of glass fibre-reinforced polymer reinforced concrete members.” ACI Struct. J., 98(6), 834–842.
Wang, H., and Belarbi, A. (2005). “Flexural behavior of fiber-reinforced concrete beams reinforced with FRP rebars.” Proc., 7th Symp. on FRP in Reinforced Concrete Structures—FRPRCS7, SP-230, American Concrete Institute, Farmington Hills, MI, 895–914.
Xue, W. C., Wang, X. H., and Zhang, S. L. (2008). “Bond properties of high-strength carbon fiber-reinforced polymer strands.” ACI Mater. J., 105(1), 11–19.
Xue, W. C., Zheng, Q. W., and Yang, Y. (2009). “Design recommendations on flexural capacity of FRP reinforced concrete beams.” Eng. Mech., 26(1), 79–85 (in Chinese).
Yost, J. R., Goodspeed, C. H., and Schmeckpeper, E. R. (2001). “Flexural performance of concrete beams reinforced with FRP grids.” J. Compos. Constr., 18–25.
Yost, J. R., and Gross, S. P. (2002). “Flexure design methodology for concrete beams reinforced with fibre-reinforced polymers.” ACI Struct. J., 99(3), 308–316.
Zhao, W., Pilakoutas, K., and Waldron, P. (1997). “FRP reinforced concrete: Cracking behavior and determination.” Proc., 3rd Int. Symp. Non-Metallic (FRP) Reinforcement for Concrete Structures, Japan Concrete Institute, Tokyo, 439–446.

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Go to Journal of Composites for Construction
Journal of Composites for Construction
Volume 20Issue 3June 2016

History

Received: Feb 7, 2015
Accepted: Aug 6, 2015
Published online: Oct 19, 2015
Discussion open until: Mar 19, 2016
Published in print: Jun 1, 2016

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Weichen Xue [email protected]
Professor, Dept. of Structural Engineering, Tongji Univ., Siping Rd., 1239, Shanghai 200092, China (corresponding author). E-mail: [email protected]
Ph.D. Candidate, Dept. of Structural Engineering, Tongji Univ., Shanghai 200092, China. E-mail: [email protected]
Qiaowen Zheng [email protected]
Design Engineer, Dept. of Structural Engineering, Tongji Univ., Shanghai 200092, China. E-mail: [email protected]

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