Alternative Approaches to Predict Shear Strength of Slender RC Beams Strengthened with Externally Bonded Fiber-Reinforced Polymer Laminates
Publication: Journal of Composites for Construction
Volume 24, Issue 2
Abstract
The method provided in ACI 440.2R for predicting the shear strength of reinforced concrete (RC) beams strengthened with externally bonded reinforcement (EBR) gives conservative estimates of shear capacity due to its inability to capture the variation of and . This paper presents three iterative approaches as well as a noniterative approach to predict the shear capacity of RC beams strengthened with EBR with greater accuracy and improved appropriate safety. The first iterative approach is based on the combination of a slightly revised version of the modified compression field theory and another model proposed in the literature. The second iterative approach is based on the combination of the simplified modified compression field theory and the aforementioned proposed model, and the third iterative approach is based on the combination of a revised version of AASHTO’s model with the aforementioned proposed approach. The noniterative approach is developed using Monte Carlo analyses using the first iterative model as the target function and includes two simple closed-form equations to capture the variation in and . All proposed approaches are compared with the ACI 440.2R method in terms of accuracy and appropriate safety. A global sensitivity analysis is performed to assess the influence of various parameters on the shear capacity of RC beams strengthened with EBR using various approaches. A database of 172 RC beams strengthened with EBR is compiled to appraise the predictive capability of the proposed models and to demonstrate the improvement that they offer regarding accuracy and appropriate safety.
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References
AASHTO. 1998. AASHTO LRFD bridge design specifications. 2nd ed. Washington, DC: AASHTO.
AASHTO. 2017. AASHTO LRFD bridge design specifications. 8th ed. Washington, DC: AASHTO.
Abdel-Jaber, M. S., P. R. Walker, and A. R. Hutchinson. 2003. “Shear strengthening of reinforced concrete beams using different configurations of externally bonded carbon fiber reinforced plates.” Mater. Struct. 36 (5): 291–301. https://doi.org/10.1007/BF02480868.
ACI (American Concrete Institute). 1995. Building code requirements for structural concrete and commentary, code. ACI 318. Farmington Hills, MI: ACI.
ACI (American Concrete Institute). 2014. Building code requirements for structural concrete and commentary, code. ACI 318. Farmington Hills, MI: ACI.
ACI (American Concrete Institute). 2017. Guide for the design and construction of externally bonded frp systems for strengthening concrete structures, guide. ACI 440.2R. Farmington Hills, MI: ACI.
Adhikary, B. B., M. Hiroshi, and M. Ashraf. 2004. “Shear strengthening of reinforced concrete beams using fiber-reinforced polymer sheets with bonded anchorage.” ACI Struct. J. 101 (5): 660–668.
Adhikary, B. B., and H. Mutsuyoshi. 2004. “Behavior of concrete beams strengthened in shear with carbon-fiber sheets.” J. Compos. Constr. 8 (3): 258–264. https://doi.org/10.1061/(ASCE)1090-0268(2004)8:3(258).
Altin, S., O. Anil, Y. Kprman, and C. Mertoglu. 2010. “Improving shear capacity and ductility of shear-deficient RC beams using CFRP strips.” Reinf. Plast. Compos. 29 (19): 2975–2991. https://doi.org/10.1177/0731684410363182.
Aprile, A., and A. Benedetti. 2004. “Coupled flexural-shear design of R/C beams strengthened with FRP.” Compos. Part B: Eng. 35 (1): 1–25. https://doi.org/10.1016/j.compositesb.2003.09.001.
ASCE-ACI Committee 445 on Shear and Torsion. 1998. “Recent approaches to shear design of structural concrete.” J. Struct. Eng. 124 (12): 1375–1417. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:12(1375).
Bae, S., B. Tann, and A. Belarbi. 2012. “Size effect of reinforced concrete beams strengthened in shear with externally bonded CFRP sheets.” In Proc., 6th Int. Conf. on FRP Composites in Civil Engineering (CICE 2012), 1–8: Rome: IIFC.
Baghi, H., and J. A. Barros. 2017a. “New approach to predict shear capacity of reinforced concrete beams strengthened with NSM technique.” ACI Struct. J. 1 (114): 137–148.
Baghi, H., and J. A. Barros. 2017b. “Design approach to determine shear capacity of reinforced concrete beams shear strengthened with NSM systems.” J. Struct. Eng. 143 (8): 04017061. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001793.
Baghi, H., J. A. O. Barros, and F. Menkulasi. 2016. “Shear strengthening of reinforced concrete beams with Hybrid Composite Plates (HCP) technique: Experimental research and analytical model.” Eng. Struct. 125 (Oct): 504–520. https://doi.org/10.1016/j.engstruct.2016.07.023.
Bazant, Z. P., and M. T. Kazemi. 1991. “Size effect on diagonal shear failure of beams without stirrups.” ACI Struct. J. 88 (3): 268–276.
Belarbi, A., S. Bae, and A. Brancaccio. 2012. “Behavior of full-scale RC T-beams strengthened in shear with externally bonded FRP sheets.” Constr. Build. Mater. 32 (Jul): 27–40. https://doi.org/10.1016/j.conbuildmat.2010.11.102.
Bentz, E. C., F. J. Vecchio, and M. P. Collins. 2006. “Simplified modified compression field theory for calculating shear strength of reinforced concrete elements.” ACI Struct. J. 103 (Jul): 614–624.
Bianco, V., G. Monti, and J. A. O. Barros. 2014. “Design formula to evaluate the NSM FRP strips shear strength contribution to a RC beam.” Compos. Part B 56 (Jan): 960–971. https://doi.org/10.1016/j.compositesb.2013.09.001.
Bousselham, A., and O. Chaallal. 2006. “Effect of transverse steel and shear span on the performance of RC beams strengthened in shear with CFRP.” Compos. Part B 37 (1): 37–46. https://doi.org/10.1016/j.compositesb.2005.05.012.
Cao, S. Y., J. F. Chen, J. G. Teng, Z. Hao, and J. Chen. 2005. “Debonding in RC beams shear strengthened with complete FRP wraps.” J. Compos. Constr. 9 (8): 417–428. https://doi.org/10.1061/(ASCE)1090-0268(2005)9:5(417).
Carolin, A., and B. Taljsten. 2005. “Experimental study of strengthening for increased shear bearing capacity.” J. Compos. Constr. 9 (6): 488–496. https://doi.org/10.1061/(ASCE)1090-0268(2005)9:6(488).
Chaallal, O., M. J. Nollet, and D. Perrraton. 1998. “Strengthening of reinforced concrete beams with externally bonded fiber-reinforced-plastic plates: Design guidelines for shear and flexure.” Can. J. Civ. Eng. 25 (4): 692–704. https://doi.org/10.1139/l98-008.
Chalioris, C., P. M. Kosmidou, and N. Papadopoulos. 2018. “Investigation of a new strengthening technique for RC deep beams using carbon FRP ropes as transverse reinforcements.” Fibers 6 (3): 52. https://doi.org/10.3390/fib6030052.
Chehab, A., and C. D. Eamon. 2018. “Regression-based adjustment factor to better estimate shear capacity for load-rating simple span PC girders.” J. Bridge Eng. 23 (5): 04018017. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001224.
Chen, J. F., and J. G. Teng. 2003a. “Shear capacity of FRP strengthened RC beams: FRP rupture.” J. Struct. Eng. 129 (5): 615–625. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:5(615).
Chen, J. F., and J. G. Teng. 2003b. “Shear capacity of FRP strengthened RC beams: FRP debonding.” Constr. Build. Mater. 17 (1): 27–41. https://doi.org/10.1016/S0950-0618(02)00091-0.
Collins, M. P. 2001. Evaluation of shear design procedures for concrete structures. Toronto: Canadian Standards Association.
Collins, M. P., and D. Mitchell. 1991. Prestressed concrete structures. Upper Saddle River, NJ: Prentice-Hall.
Collins, M. P., D. Mitchell, P. Adebar, and F. J. Vecchio. 1996. “A general shear design method.” ACI Struct. J. 93 (1): 36–45.
Colotti V., G. Spadea, and R. N. Swamy. 2001. “Shear and flexural behaviour of RC beams externally reinforced with bonded FRP laminates: A truss approach.” In Proc., Int. Conf. Composites in Constructions, 517–522. Rotterdam, Netherlands: A.A. Balkema.
Concrete Society Committee. 2004. Design guidance for strengthening concrete structures using fiber composite materials. Berkshire, UK: Century House.
De Lorenzis, L., and A. Nanni. 2001. “Shear strengthening of reinforced concrete beams with near- surface mounted fiber-reinforced polymer rods.” ACI Struct. J. 98 (1): 60–68.
Deniaud, C., and J. J. R. Cheng. 2001a. “Review of design methods for reinforced concrete beams strengthened with fibre reinforced polymer sheets.” Can. J. Civ. Eng. 28 (2): 271–281. https://doi.org/10.1139/l00-113.
Deniaud, C., and J. J. R. Cheng. 2004. “Simplified shear design method for concrete beams strengthened with fiber reinforced polymer sheets.” J. Compos. Constr. 8 (5): 425–433. https://doi.org/10.1061/(ASCE)1090-0268(2004)8:5(425).
Deniaud, C., and R. Cheng. 2001b. “Shear behavior of reinforced concrete T-Beams with externally bonded fiber-reinforced polymer sheets.” ACI Struct. J. 98 (3): 386–394.
Deniaud, C., and R. Cheng. 2003. “Reinforced concrete T-beams strengthened in shear with fiber reinforced polymer sheets.” J. Compos. Constr. 7 (4): 302–310. https://doi.org/10.1061/(ASCE)1090-0268(2003)7:4(302).
Dias, S. J. E., and J. A. O. Barros. 2010. “Performance of reinforced concrete T beams strengthened in shear with NSM CFRP laminates.” Eng. Struct. 32 (2): 373–384. https://doi.org/10.1016/j.engstruct.2009.10.001.
fib (International Federation for Structural Concrete). 2001. Externally bonded FRP reinforcement for RC structures. Lausanne, Switzerland: fib.
Foster, R. M., M. Brindley, J. Lees, T. Ibell, C. Morley, A. Darby, and M. Evernden. 2016. “Experimental investigation of reinforced concrete T-beams strengthened in shear with externally bonded CFRP sheets.” J. Compos. Constr. 21 (2): 04016086. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000743.
Gamino, A. L., J. L. A. O. Sousa, O. L. Manzoli, and T. N. Bittencourt. 2010. “R/C structures strengthened with CFRP Part II: Analysis of shear models.” Struct. Mater. J. 3 (1): 24–49.
Gilman, J. R., R. T. Brickey, and M. M. Red. 1998. “Monte Carlo techniques for evaluating producing properties.” SPE Rocky Mountain Regional/Low-Permeability Reservoirs Symp. Richardson, TX: Society of Petroleum Engineers.
Grande, E., M. Lambimbo, and A. Rasulo. 2009. “Effect of transverse steel on the response of RC beams strengthened in shear by FRP: Experimental study.” J. Compos. Constr. 13 (5): 405–414. https://doi.org/10.1061/(ASCE)1090-0268(2009)13:5(405).
Hafez, A. M. A. 2007. “Shear behaviour of RC beams strengthened externally with bonded CFRP–U strips.” Eng. Sci. 35 (2): 361–379.
ISIS Canada. 2001. Strengthening reinforced concrete structures with externally bonded fiber reinforced polymers. Winnipeg, MB: Univ. of Manitoba.
Jensen A. P., and E. Poulsen. 2001. “On the strengthening of RC beams by epoxy bonded links of L- shaped CFRP strips against shear failure.” In Proc., Int. Conf. Composites in Constructions, 541–546. Rotterdam, Netherlands: A.A. Balkema.
JSCE (Japan Society of Civil Engineers). 2000. “Recommendations for upgrading of concrete structures with use of continuous fiber sheets.” In Research committee on upgrading of concrete structures with use of continuous fiber sheets. Tokyo: JSCE.
Kesse G., C. Chan, and J. Lees. 2001. “Non-linear finite element analysis of RC beams prestressed with CFRP straps.” In Proc., 5th Int. Conf. on Fibre-Reinforced Plastics for Reinforced Concrete Structures, edited by C. J. Burgoyne, 281–290. London: Thomas Telford.
Khalifa, A., W. J. Gold, A. Nanni, and A. Aziz. 1998. “Contribution of externally bonded FRP to shear capacity of RC flexural members.” J. Compos. Constr. 2 (4): 195–202. https://doi.org/10.1061/(ASCE)1090-0268(1998)2:4(195).
Khalifa, A., and A. Nanni. 2000. “Improving the shear capacity of existing RC T-section beams using CFRP composites.” Cem. Concr. Compos. 22 (3): 165–174. https://doi.org/10.1016/S0958-9465(99)00051-7.
Kim, Y., W. Ghannoum, and J. Jirsa. 2015. “Shear behavior of full-scale reinforced concrete T- beams strengthened with CFRP strips and anchors.” Constr. Build. Mater. 94 (Sep): 1–9.
Koutas, L., and T. C. Triantafillou. 2013. “Use of anchors in shear strengthening of reinforced concrete T-beams with FRP.” J. Compos. Constr. 17 (1): 101–107. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000316.
Leung, K. L. C., Z. Chen, S. Lee, M. Ng, M. Xu, and J. Tang. 2006. “Effect of size on the failure of geometrically similar concrete beams strengthened in shear with FRP strips.” J. Compos. Constr. 11 (5): 487–496. https://doi.org/10.1061/(ASCE)1090-0268(2007)11:5(487).
Lu, X. Z. 2004. “Studies on FRP-concrete interface.” Ph.D. thesis, Dept. of Civil Engineering, Tsinghua Univ.
Lu, X. Z., L. P. Chen, J. G. Teng, and J. M. Rotter. 2009. “RC beams shear-strengthened with FRP: Stress distributions in the FRP reinforcement.” Constr. Build. Mater. 23 (4): 1544–1554. https://doi.org/10.1016/j.conbuildmat.2008.09.019.
Maeda, T., Y. Asano, Y. Sato, T. Ueda, and Y. Kakuta. 1997. “A study on bond mechanism of carbon fiber sheet.” In Proc., 3rd Int. Symp. on Nonmetallic (FRP) Reinforcement for Concrete Structures, 279–286. Hokkaido, Japan: Japan Concrete Institute.
Malek, A. M., and H. Saadatmanesh. 1998. “Analytical study of reinforced concrete beams strengthened with web-bonded fibre reinforced plates or fabrics.” ACI Struct. J. 95 (3): 343–351.
MathWorks. 2015. What is sensitivity analysis? Silver Spring, MD: National Training Laboratories.
Mofidi, A., and O. Chaallal. 2011a. “Shear strengthening of RC beams with EB FRP: Influencing factors and conceptual debonding model.” J. Compos. Constr. 15 (1): 62–74. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000153.
Mofidi, A., and O. Chaallal. 2011b. “Shear strengthening of RC beams with externally bonded FRP composites: Effect of strip-width-to-strip-spacing ratio.” J. Compos. Constr. 15 (5): 732–742. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000219.
Monti, G., and M. Liotta. 2007. “Tests and design equations for FRP-strengthening in shear.” Constr. Build. Mater. 21 (4): 799–809. https://doi.org/10.1016/j.conbuildmat.2006.06.023.
Neto, M. B., J. Barros, and G. Melo. 2014. “Model to simulate the contribution of fiber reinforcement for the punching resistance of RC slabs.” Mater. Civ. Eng. 26 (7): 04014020. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000913.
Ozden, S., H. Atalay, E. Akpinar, H. Erdogan, and Y. Vulas. 2014. “Shear strengthening of reinforced concrete T-beams with fully or partially bonded fiber-reinforced polymer composites.” Struct. Concr. 15 (2): 229–239. https://doi.org/10.1002/suco.201300031.
Pellegrino, C., and C. Modena. 2002. “Fiber reinforced polymer shear strengthening of reinforced concrete beams with transverse steel reinforcement.” J. Compos. Constr. 6 (2): 104–111. https://doi.org/10.1061/(ASCE)1090-0268(2002)6:2(104).
Pellegrino, C., and C. Modena. 2006. “Fiber-reinforced polymer shear strengthening of reinforced concrete beams: Experimental study and analytical modeling.” ACI Struct. J. 103 (5): 720–728.
Reineck, K., E. Bentz, B. Fitik, D. Kuchma, and O. Bayrak. 2013. “ACI-DAfStb databases of shear tests on slender reinforced concrete beams without stirrups.” ACI Struct. J. 111 (5): 867–875.
Roller, J. J., and H. G. Russell. 1990. “Shear strength of high-strength concrete beams with web reinforcement.” ACI Struct. J. 87 (2): 191–198.
Saltelli, A., D. Gatelli, F. Campolongo, J. Cariboni, M. Ratto, M. Saisana, S. Tarantola, and T. Andres. 2008. “Global Sensitivity Analysis: The Primer. Hoboken, NJ: John Wiley and Sons.
Taljsten, B. 2003. “Strengthening concrete beams for shear with CFRP sheets.” Constr. Build. Mater. 17 (1): 15–26. https://doi.org/10.1016/S0950-0618(02)00088-0.
Teng, J. G., L. Lam, and J. F. Chen. 2004. “Shear strengthening of RC beams with FRP composites.” Prog. Struct. Mater. Eng. 6 (3): 173–184. https://doi.org/10.1002/pse.179.
Triantafillou, T. 1998. “Shear strengthening of reinforced concrete beams using epoxy-bonded FRP composites.” ACI Struct. J. 95 (2): 107–115.
Valerio, P., T. J. Ibell, and A. P. Darby. 2009. “Deep embedment of FRP for concrete shear strengthening.” Proc. Inst. Civ. Eng. Struct. Build. 162 (5): 311–321. https://doi.org/10.1680/stbu.2009.162.5.311.
Vecchio, F. J., and M. P. Collins. 1986. “The modified compression-field theory for reinforced concrete elements subjected to shear.” ACI Struct. J. 83 (2): 219–231.
Yang, K. H., H. Y. Byun, and A. F. Ashour. 2009. “Shear strengthening of continuous reinforced concrete T-beams using wire rope units.” Eng. Struct. 31 (5): 1154–1165. https://doi.org/10.1016/j.engstruct.2009.01.003.
Zhang, Z., and C. T. Hsu. 2005. “Shear strengthening of reinforced concrete beams using carbon-fiber-reinforced polymer laminates.” J. Compos. Constr. 9 (2): 158–169. https://doi.org/10.1061/(ASCE)1090-0268(2005)9:2(158).
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Journal of Composites for Construction
Volume 24 • Issue 2 • April 2020
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©2020 American Society of Civil Engineers.
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Received: Feb 5, 2019
Accepted: Aug 16, 2019
Published online: Jan 14, 2020
Published in print: Apr 1, 2020
Discussion open until: Jun 14, 2020
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