Technical Papers
Aug 9, 2022

FRP Shear-Strengthened RC Beams: Re-examining the Shear-Crack Effect

Publication: Journal of Composites for Construction
Volume 26, Issue 5

Abstract

Inconsistency and large scatter are widely observed in comparisons between experimentally obtained and analytically predicted shear capacity contributed by fiber-reinforced polymer (FRP) composites in FRP-strengthened reinforced concrete beams using existing codes and models. Shear crack configuration, overlooked by many design codes, guidelines, and analytical models, can possibly attribute to such a scatter and inconsistency. To that end, an innovative analysis approach was proposed, in combination with a conducted experimental study, to investigate the effect due to such a shear crack configuration. It was found that large axial rigidity of the FRP reinforcement and the shear span-to-effective depth ratio tended to create distributed shear cracks, which changed the shear behavior of strengthened beams by decreasing the bond length and the resultant FRP shear contribution. The strain of the shear reinforcement increased with the increase of the crack width, which reached the peak value after the peak load level. Since not all steel stirrups yielded, the shear contribution of the concrete itself was greatly underestimated. It is suggested to propose separate sets of design equations corresponding to different categories of shear crack to improve the precision and minimize such a scatter.

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Acknowledgments

The work by the first author was supported by the Natural Science Foundation of China (Grant No. 52078297), Shenzhen Science and Technology Innovation Commission (Grant No. 20200805103111001), and Guangdong Provincial Key Laboratory of Durability for Marine Civil Engineering (SZU) (Grant No. 2020B1212060074). Any opinions, findings,conclusions, or recommendations expressed in this material do not necessarily reflect the views of the funding agencies.

Notation

The following symbols are used in this paper:
Af
area of the FRP reinforcement (mm2);
Afi
area of each FRP intersected by the shear crack (mm2);
Asi
area of each steel stirrup intersected by the shear crack (mm2);
df
effective depth of the FRP reinforcement (mm);
Ef
Young's modulus of the FRP reinforcement (GPa);
fc
compressive strength of concrete (MPa);
K
strengthening efficiency factor of FRP;
R
reduction factor for FRP rupture failure and debonding failure;
sf
spacing of the FRP reinforcement (mm);
V
overall shear capacity (kN);
Vc
concrete contribution to the overall shear capacity (kN);
Vf0
FRP contribution to the overall shear capacity (kN);
Vs
steel stirrup contribution to the overall shear capacity (kN);
αf
orientation of the FRP reinforcement with respect to the horizontal axis;
γd
member factor considering uncertainty and deterioration of the specimen;
ɛfi
strain of each FRP at intersection with the shear crack;
ɛfu
ultimate strain of the FRP shear reinforcement;
ɛsi
strain of each steel stirrup at intersection with the shear crack;
θ
acute angle between the FRP and the beam member axis;
θc
angle between the shear crack and the member axis;
κv
bond reduction coefficient considering the debonding failure between the FRP and concrete;
ϕf
resistance factor for FRP reinforcement; and
ρf
reinforcement ratio of FRP.

References

ACI (American Concrete Institute). 2012. Guide test methods for fiber reinforced polymers (FRPs) for reinforcing or strengthening concrete structures. ACI 440.3R-12. 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-17. Farmington Hills, MI: ACI.
Barros, J. A. O., and S. J. E. Dias. 2006. “Near surface mounted CFRP laminates for shear strengthening of concrete beams.” Cem. Concr. Compos. 28 (3): 276–292. https://doi.org/10.1016/j.cemconcomp.2005.11.003.
Bousselham, A., and O. Chaallal. 2006a. “Behavior of reinforced concrete T-beams strengthened in shear with carbon fiber-reinforced polymer-an experimental study.” ACI Struct. J. 103 (3): 339–347.
Bousselham, A., and O. Chaallal. 2006b. “Effect of transverse steel and shear span on the performance of RC beams strengthened in shear with CFRP.” Composites, Part B 37 (1): 37–46. https://doi.org/10.1016/j.compositesb.2005.05.012.
Caggegi, C., V. Pensee, M. Fagone, M. Cuomo, and L. Chevalier. 2014. “Experimental global analysis of the efficiency of carbon fiber anchors applied over CFRP strengthened bricks.” Constr. Build. Mater. 53: 203–212. https://doi.org/10.1016/j.conbuildmat.2013.11.086.
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 (5): 417–428. https://doi.org/10.1061/(ASCE)1090-0268(2005)9:5(417).
Chen, C., H. Cai, and L. Cheng. 2021. “Shear strengthening of corroded RC beams using UHPC-FRP composites.” J. Bridge Eng. 26 (1): 04020111. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001653.
Chen, C., and L. Cheng. 2019. “Single crack–based model for FRP shear-strengthened RC beams.” J. Compos. Constr. 23 (4): 04019030. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000953.
Chen, G. M., J. G. Teng, J. F. Chen, and O. A. Rossenboom. 2010. “Interaction between steel stirrups and shear-strengthening FRP strips in RC beams.” J. Compos. Constr. 14 (5): 498–509. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000120.
Chen, G. M., J. G. Teng, J. F. Chen, and Q. G. Xiao. 2015. “Finite element modeling of debonding failures in FRP-strengthened RC beams: A dynamic approach.” Comput. Struct. 158: 167–183. https://doi.org/10.1016/j.compstruc.2015.05.023.
Chen, H., W.-J. Yi, and H.-H. Huang. 2018. “Cracking strut-and-tie model for shear strength evaluation of reinforced concrete deep beams.” Eng. Struct. 163: 396–408. https://doi.org/10.1016/j.engstruct.2018.02.077.
Chen, J. F., and J. G. Teng. 2001. “Shear capacity of fibre-reinforced polymer-strengthened reinforced concrete beams: FRP debonding.” Constr. Build. Mater. 17 (1): 27–41. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:5(615).
Chen, J. F., and J. G. Teng. 2003. “Shear capacity of Fiber-Reinforced Polymer-strengthened reinforced concrete beams: Fiber reinforced polymer rupture.” J. Struct. Eng. 129 (5): 615–625. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:5(615).
Colotti, V. 2013. “Shear interaction effect between transverse reinforcements in FRP-strengthened RC beams.” Composites, Part B 45: 1222–1233. https://doi.org/10.1016/j.compositesb.2012.06.009.
CSA (Canadian Standards Association). 2012. Design and construction of building components with fiber-reinforced polymer. CAN/CSAS806-12. Rexdale, ON, Canada: CSA.
Deniaud, C., and J. J. 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).
Diagana, C., A. Li, B. Gedalia, and Y. Delmas. 2003. “Shear strengthening effectiveness with CFF strips.” Eng. Struct. 25: 507–516. https://doi.org/10.1016/S0141-0296(02)00208-0.
Faulkner, A., and C. Chavez. 2017. Adobe Photoshop CC: 2017 release. San Jose, CA: Adobe Press.
fib. 2001. Design and Use of Externally Bonded Fiber Polymer Reinforcement (FRP EBR) for Reinforced Concrete Structures. Technical Rep. Prepared by EBR Task Group 9.3 (TG9.3), Bulletin 14. Lausanne, Switzerland: International Federation for Structural Concrete.
fib. 2019. Externally applied FRP reinforcement for concrete structures. Lausanne, Switzerland: International Federation for Structural Concrete.
Grande, E., M. Imbimbo, 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: 405–414. https://doi.org/10.1061/(ASCE)1090-0268(2009)13:5(405).
Ianniruberto, U., and M. Imbimbo. 2004. “Role of fiber reinforced plastic sheets in shear response of reinforced concrete beams: Experimental and analytical results.” J. Compos. Constr. 8 (5): 415–424. https://doi.org/10.1061/(ASCE)1090-0268(2004)8:5(415).
Jayaprakash, J., A. A. A. Samad, A. A. Abbasovich, and A. A. A. Ali. 2008. “Shear capacity of precracked and non-precracked reinforced concrete shear beams with externally bonded bi-directional CFRP strips.” Constr. Build. Mater. 22: 1148–1165. https://doi.org/10.1016/j.conbuildmat.2007.02.008.
Jirawattanasomkul, T., J.-G. Dai, D. Zhang, M. Senda, and T. Ueda. 2014. “Experimental study on shear behavior of reinforced-concrete members fully wrapped with large rupture-strain FRP composites.” J. Compos. Constr. 18 (3): A4013009. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000442.
JSCE (Japan Society of Civil Engineers). 2001. Recommendations for upgrading of concrete structures with use of continuous fiber sheets. Concrete engineering series no. 41. Tokyo: JSCE.
Khalifa, A., W. J. Gold, A. Nanni, and M. I. Abdel 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. 2002. “Rehabilitation of rectangular simply supported RC beams with shear deficiencies using CFRP composites.” Constr. Build. Mater. 16: 135–146. https://doi.org/10.1016/S0950-0618(02)00002-8.
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.
Li, A., C. Diagana, Y. Delmas. 2001. “CRFP contribution to shear capacity of strengthened RC beams.” Eng. Struct. 23: 1212–1220. https://doi.org/10.1016/S0141-0296(01)00035-9.
Li, W., and C. K. Y. Leung. 2016. “Shear span–depth ratio effect on behavior of RC beam shear strengthened with full-wrapping FRP strip.” J. Compos. Constr. 20 (3): 1–14.
MHURD (Ministry of Housing and Urban-Rural Development). 2010. Code for design of concrete structures. GB 50010-2010. Beijing: MHURD.
Mofidi, A., and O. Chaallal. 2011. “Shear strengthening of RC beams with externally bonded FRP composites: Effect of strip-width-to-strip-spacing ratio.” J. Compos. Constr. 15: 732–742. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000219.
Mofidi, A., and O. Chaallal. 2014. “Tests and design provisions for reinforced-concrete beams strengthened in shear using FRP sheets and strips.” Int. J. Concr. Struct. Mater. 8 (2): 117–128. https://doi.org/10.1007/s40069-013-0060-1.
Mohamed Ali, M. S., D. J. Oehlers, and R. Seracino. 2006. “Vertical shear interaction model between external FRP transverse plates and internal steel stirrups.” Eng. Struct. 28: 381–389. https://doi.org/10.1016/j.engstruct.2005.08.010.
Monti, G., and M. Liotta. 2007. “Tests and design equations for FRP-strengthening in shear.” Constr. Build. Mater. 21: 799–809. https://doi.org/10.1016/j.conbuildmat.2006.06.023.
Moren, J. E. 2002. “Shear behaviour of reinforced concrete deep beams strengthened with CFRP laminates.” M.Sc thesis, Dept. of Civil Engineering, New Jersey’s Science and Technology Univ.
Morsch, E. 1909. “Der Eisenbetonbau.” In Concrete-steel construction, edited by E. Morsch, and E. P. Goodrich, 368. New York: McGraw-Hill.
Oller, E., R. Kotynia, and A. Marí. 2021. “Assessment of the existing models to evaluate the shear strength contribution of externally bonded frp shear reinforcements.” Compos. Struct. 266 (15): 113641. https://doi.org/10.1016/j.compstruct.2021.113641.
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 M. Vasic. 2013. “Assessment of design procedures for the use of externally bonded FRP composites in shear strengthening of reinforced concrete beams.” Composites, Part B 45: 727–741. https://doi.org/10.1016/j.compositesb.2012.07.039.
Petrone, F., and G. Monti. 2014. “FRP-RC beam in shear: Mechanical model and assessment procedure for pseudo-ductile behavior.” Polymers 6: 2051–2064. https://doi.org/10.3390/polym6072051.
Rizzo, A., and L. De Lorenzis. 2009. “Behavior and capacity of RC beams strengthened in shear with NSM FRP reinforcement.” Constr. Build. Mater. 23: 1555–1567. https://doi.org/10.1016/j.conbuildmat.2007.08.014.
Rousakis, T. C., M. E. Saridaki, S. A. Mavrothalassitou, and D. Hui. 2016. “Utilization of hybrid approach towards advanced database of concrete beams strengthened in shear with FRPs.” Composites, Part B 85: 315–335. https://doi.org/10.1016/j.compositesb.2015.09.031.
Sas, G., B. Täljsten, J. Barros, J. Lima, and A. Carolin. 2009. “Are available models reliable for predicting the FRP contribution to the shear resistance of RC beams?” J. Compos. Constr. 13 (6): 514–534. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000045.
Spinella, N. 2019. “Modeling of shear behavior of reinforced concrete beams strengthened with FRP.” Compos. Struct. 215: 351–364. https://doi.org/10.1016/j.compstruct.2019.02.073.
Walraven, J., and N. Lehwalter. 1994. “Size effects in short beams loaded in shear.” ACI Struct. J. 91 (5): 585–593.
Wu, Y.-F., and B. Hu. 2017. “Shear strength components in reinforced concrete members.” J. Struct. Eng. 143 (9): 04017092. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001832.
Zararis, P. D. 2003. “Shear compression failure in reinforced concrete deep beams.” J. Struct. Eng. 129 (4): 544–553. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:4(544).
Zhang, Z., and C.-T. 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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Go to Journal of Composites for Construction
Journal of Composites for Construction
Volume 26Issue 5October 2022

History

Received: Aug 12, 2021
Accepted: May 25, 2022
Published online: Aug 9, 2022
Published in print: Oct 1, 2022
Discussion open until: Jan 9, 2023

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Authors

Affiliations

Assistant Professor, Guangdong Provincial Key Laboratory of Durability for Marine Civil Engineering, Shenzhen Univ., Shenzhen 518060, China. Email: [email protected]
Xiangxiong Xiao [email protected]
Graduate Student, College of Civil and Transportation Engineering, Shenzhen Univ., Shenzhen 518060, China. Email: [email protected]
Yingwu Zhou [email protected]
Professor, College of Civil and Transportation Engineering, Shenzhen Univ., Shenzhen 518060, China. Email: [email protected]
Yancai Yang [email protected]
Graduate Student, College of Civil and Transportation Engineering, Shenzhen Univ., Shenzhen 518060, China. Email: [email protected]
Lijuan Cheng, M.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, Univ. of California, One Shields Avenue, Davis, CA 95616 (corresponding author). Email: [email protected]

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