Analytical Approach for Flexural Capacity of FRP Prestressed Concrete T-Beams with Non-Prestressed Steel Bars
Publication: Journal of Composites for Construction
Volume 22, Issue 6
Abstract
Available flexural strength formulas mainly focus on rectangular concrete beams exclusively prestressed with fiber-reinforced polymer (FRP) tendons. Moreover, an iterative procedure is required when FRP rupture governs the design. This paper presents a simplified and yet rational analytical approach for flexural capacity of prestressed concrete T-beams with bonded FRP tendons and non-prestressed steel bars. First, a sectional analysis assuming balanced failure is conducted to distinguish tension and compression failure. In conjunction with a statistical analysis of an experimental database of 87 beams, a new transition region between tension- and compression-controlled sections is proposed in terms of ratio of provided-to-balanced reinforcement () instead of the traditional net tensile strain limits in current American design guidelines. Then, a numerical sectional analysis of tension-controlled sections is was used to perform a detailed parametric study of more than 120,000 sections. Based on a multiple regression analysis of the numerical results, simplified equations are developed for the flexural capacity of the sections. Then equations are presented for flexural capacity of compression-controlled sections. Finally, the accuracy of the proposed approach is verified based on the experimental database from 87 beam tests.
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Acknowledgments
The authors gratefully acknowledge the financial support provided by the National Key R&D Plan of China (Project 2017YFC0703000), the National Natural Science Foundation (No. 51678433), Shanghai Science Technology Commission (Project No. 16XD1402800), and Fundamental Research Funds for the Central Universities (No. 0200219151). The proposed approach has been incorporated in Chinese National Industrial Standard “Technical Standard for Concrete Bridge with FRP Reinforcements (CJJ/T280-2018).”
References
AASHTO. 2017. LRFD bridge design specifications. Washington, DC: AASHTO.
Abdelrahman, A. A., and S. H. Rizkalla. 1997. “Serviceability of concrete beams prestressed by carbon-fiber-reinforced-plastic bars.” ACI Struct. J. 94 (4): 447–454.
ACI (American Concrete Institute). 2004. Prestressing concrete structures with FRP tendons. ACI 440.4R. Farmington Hills, MI: ACI.
ACI (American Concrete Institute). 2014. Building code requirements for structural concrete. ACI 318. Farmington Hills, MI: ACI.
ACI (American Concrete Institute). 2015. Guide for the design and construction of structural concrete reinforced with FRP bars. ACI 440.1R. Farmington Hills, MI: ACI.
ACI (American Concrete Institute). 2017. Guide for the design and construction of externally bonded FRP systems for strengthening concrete structures. ACI 440.2R. Farmington Hills, MI: ACI.
Bank, L. C. 2006. Composites for construction: Structural design with FRP materials. New York: Wiley.
Bencardino, F., A. Condello, and L. Ombres. 2016. “Numerical and analytical modeling of concrete beams with steel, FRP and hybrid FRP-steel reinforcements.” Compos. Struct. 140: 53–65. https://doi.org/10.1016/j.compstruct.2015.12.045.
Burke, C. R., and C. W. Dolan. 2001. “Flexural design of prestressed concrete beams using FRP tendons.” PCI J. 46 (2): 76–87. https://doi.org/10.15554/pcij.03012001.76.87.
Code of China. 2010. Technical code for infrastructure application of FRP composites. GB 50608. Beijing: China Planning Press.
Code of China. 2016. Code for design of prestressed concrete structures. JGJ 369. Beijing: China Architecture and Building Press.
CSA (Canadian Standards Association). 2012. Design and construction of building components with fibre-reinforced polymers. Rexdale, ON, Canada: CSA.
Dolan, C. W., and D. Swanson. 2002. “Development of flexural capacity of a FRP prestressed beam with vertically distributed tendons.” Compos. Part B 33 (1): 1–6. https://doi.org/10.1016/S1359-8368(01)00053-1.
Du, X., Z. Wang, and J. Liu. 2011. “Flexural capacity of concrete beams prestressed with carbon fiber reinforced polymer (CFRP) tendons.” Adv. Mater. Res. 168–170: 1353–1362. https://doi.org/10.4028/www.scientific.net/AMR.168-170.1353.
Fam, A., S. Rizkalla, and G. Tadros. 1997. “Behavior of CFRP for prestressing and shear reinforcements of concrete highway bridges.” ACI Struct. J. 94 (1): 77–86.
Forouzannia, F., B. Gencturk, M. Dawood, and A. Belarbi. 2016. “Calibration of flexural resistance factors for load and resistance factor design of concrete bridge girders prestressed with carbon fiber–reinforced polymers.” J. Compos. Constr. 20 (2): 04015050. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000613.
Gar, S. P., J. B. Mander, and S. Hurlebaus. 2018. “Deflection of FRP prestressed concrete beams.” J. Compos. Constr. 22 (2): 04017049. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000832.
Grace, N., and S. B. Singh. 2003. “Design approach for carbon fiber-reinforced polymer prestressed concrete bridge beams.” ACI Struct. J. 100 (3): 365–376.
Grace, N., K. Ushijima, V. Matsagar, and C. Wu. 2013. “Performance of AASHTO-type bridge model prestressed with carbon fiber-reinforced polymer reinforcement.” ACI Struct. J. 110 (3): 491–501.
Haldar, A., and S. Mahadevan. 2000. Probability, reliability and statistical method in engineering design. New York: Wiley.
Kakizawa, T., S. Ohno, and T. Yonezawa. 1993. Flexural behavior and energy absorption of carbon FRP-reinforced concrete beams. ACI Special Publication SP-138. Farmington Hills, MI: American Concrete Institute.
Karbhari, V. M. 1998. Use of composite materials in civil infrastructure in Japan. Baltimore: International Technology Research Institute, Word Technology Division.
Kim, Y. J., and R. W. Nickle. 2016. “Strength reduction factors for fiber-reinforced polymer-prestressed concrete bridges in flexure.” ACI Struct. J. 113 (5): 1043–1052.
Krem, S. 2013. “Bond and flexural behaviour of self consolidating concrete beams reinforced and prestressed with FRP bars.” Ph.D. dissertation, Dept. of Civil Engineering, Univ. of Waterloo.
Lees, J. M., and C. J. Burgoyne. 1999. “Experimental study of influence of bond on flexural behavior of concrete beams pretensioned with aramid fiber reinforced plastics.” ACI Struct. J. 96 (3): 377–385.
Liang, Y., C. Sun, and F. Ansari. 2011. “Damage assessment and ductility evaluation of post tensioned beams with hybrid FRP tendons.” J. Compos. Constr. 15 (3): 274–283. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000166.
MacGregor, J. G. 1997. Reinforced concrete: Mechanics and design. Upper Saddle River, NJ: Prentice Hall.
Mast, R. F. 1992. “Unified design provisions for reinforced and prestressed concrete flexural and compression members.” ACI Struct. J. 89 (2): 185–199.
Mast, R. F., M. Dawood, S. M. Rizkalla, and P. Zia. 2008. “Flexural strength design of concrete beams reinforced with high-strength steel bars.” ACI Struct. J. 105 (5): 570–577.
McKay, K. S., and M. A. Erki. 1993. “Flexural behaviour of concrete beams pretensioned with aramid fibre reinforced plastic tendons.” Can. J. Civ. Eng. 20 (4): 688–695. https://doi.org/10.1139/l93-085.
Meng, L. X., X. K. Tao, J. G. Guan, and F. Q. Xu. 2006. “Experimental study on flexural behavior of partially prestressed concrete beams with bonded AFRP tendons.” [In Chinese.] Chi. Civ. Eng. J. 39 (3): 10–18. https://doi.org/10.3321/j.issn:1000-131X.2006.03.002.
Mertol, H. C., S. Rizkalla, P. Scott, J. M. Lees, and R. El-Hacha. 2006. Durability and fatigue behavior of high-strength concrete beams prestressed with CFRP bars. ACI Special Publication SP245-1. Farmington Hills, MI: American Concrete Institute.
Morais, M. M., and C. J. Burgoyne. 2003. “Experimental investigation of the ductility of beams prestressed with FRP.” In Proc., 6th Int. Conf. on Fiber Reinforced Polymers for Reinforced Concrete Structures, 1013–1022. Singapore: World Scientific.
Nanni, A., and M. Tanigaki. 1992. “Pretensioned prestressed concrete members with bonded fiber reinforced plastic tendons: Development and flexural bond lengths (static).” ACI Struct. J. 89 (4): 433–441.
Park, H., and J. Cho. 2017. “Ductility analysis of prestressed concrete members with high-strength strands and code implications.” ACI Struct. J. 114 (2): 407–416.
Rizkalla, N. S. 2000. “Partial bonding and partial prestressing using stainless steel reinforcement for members prestressed with FRP.” Master’s dissertation, Dept. of Civil Engineering, Queen’s Univ.
Saafi, M., and H. Toutanji. 1998. “Flexural capacity of prestressed concrete beams reinforced with aramid rectangular tendons.” Constr. Build. Mater. 12 (5): 245–249. https://doi.org/10.1016/S0950-0618(98)00016-6.
Saeed, Y. M. 2016. “Behavior of prestressed concrete beams with CFRP strands.” Master’s dissertation, Dept. of Civil and Environmental Engineering, Portland State Univ.
Shahrooz, B. M., J. M. Reis, E. L. Wells, R. A. Miller, K. A. Harries, and H. G. Russell. 2014. “Flexural members with high-strength reinforcement: Behavior and code implications.” J. Bridge Eng. 19 (5): 04014003. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000571.
Stoll, F., J. E. Saliba, and L. E. Casper. 2000. “Experimental study of CFRP-prestressed high-strength concrete bridge beams.” Compos. Struct. 49 (2): 191–200. https://doi.org/10.1016/S0263-8223(99)00134-8.
Todeschini, C. E., A. C. Bianchini, and C. E. Kesler. 1964. “Behavior of concrete columns reinforced with high strength steels.” ACI J. 61 (6): 701–716.
Vijay, P. V., and GangaRao, H. V. S. 2001. “Bending behavior and deformability of glass fiber-reinforced polymer reinforced concrete members.” ACI Struct. J. 98 (6): 834–842. https://doi.org/10.14359/10750.
Xue, W. C., F. Peng, Y. Tan, S. Zhang, K. Fu, and Y. Yang. 2016a. “A review of studies on concrete structures with FRP reinforcements in China.” In Proc., 7th Int. Conf. on Advanced Composite Materials in Bridges and Structures. Vancouver, Canada: Canadian Society for Civil Engineering.
Xue, W. C., F. Peng, and Q. W. Zheng. 2016b. “Design equations for flexural capacity of concrete beams reinforced with glass fiber–reinforced polymer bars.” J. Compos. Constr. 20 (3): 04015069. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000630.
Xue, W. C., and X. H. Wang. 2007. “Experiment and nonlinear analysis of concrete beams with bonded prestressing CFRP tendons.” [In Chinese.] China J. Highway Transp. 20 (4): 41–47. https://doi.org/10.19721/j.cnki.1001-7372.2007.04.010.
Yonekura, A., E. Tazawa, and H. Nakayama. 1993. Flexural and shear behavior of prestressed concrete beams using FRP rods as prestressing tendons. ACI Special Publication SP138-32. Farmington Hills, MI: American Concrete Institute.
Zadeh, H. J., and A. Nanni. 2013. “Reliability analysis of concrete beams internally reinforced with fiber-reinforced polymer bars.” ACI Struct. J. 110 (6): 1023–1032. https://doi.org/10.14359/51686157.
Zou, P. 2004. “Load-deflection response of high strength concrete beams pretensioned by carbon fibre reinforced polymers.” In Proc., FRP Composites in Civil Engineering—CICE2004, edited by R. Seracino, 781–791. London: Taylor & Francis.
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Published In
Journal of Composites for Construction
Volume 22 • Issue 6 • December 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Feb 13, 2018
Accepted: Jun 25, 2018
Published online: Oct 13, 2018
Published in print: Dec 1, 2018
Discussion open until: Mar 13, 2019
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