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A Simplified Model for Crack Width Prediction of Flexural-Strengthened High Pre-Damaged Beams with CFRP Sheet

  • Structural Engineering
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Abstract

Fibre reinforced polymer (FRP) is extensively applied in the field of maintenance and reinforcement. In the actual reinforcement of concrete structures, most reinforced concrete (RC) members are in a cracked state and the existing calculation methods seldom consider the initial damage of concrete, especially the effect of severe damage on the crack of RC members. Therefore, it is necessary to propose a model for accurately evaluating the crack width of the repaired different damage state concrete members with carbon fiber reinforced plastic (CFRP) sheet. This study presents an experimental investigation on the crack behaviors of the CFRP sheet flexural-strengthened pre-damaged RC beams based on the results of an experimental program involving ten specimens. The influence of the pre-damaged level, reinforcement ratio and CFRP sheet strengthening layer on the crack development, failure characteristics, crack spacing and crack width is analyzed and discussed. Taking into account the influence of the CFRP sheet strengthening layer and pre-damaged level, a formula for predicting the average crack spacing is proposed, and then an analytical model for the crack width prediction of the flexural-strengthened high pre-damaged beams is established based on the calculation model of the crack width of the ordinary RC beams. The predicted results agree well with test values including data of this study and experimental data of 64 sets of references.

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References

  • ACI Committee 440.2R-08 (2008) Guide for the design and construction of externally bonded FRP systems for strengthening concrete structures. ACI Committee 440.2R-08, American Concrete Institute, Farmington Hills, MI, USA

  • Attari N, Amziane S, Chemrouk M (2012) Flexural strengthening of concrete beams using CFRP, GFRP and hybrid FRP sheets. Construction and Building Materials 37:746–757, DOI: https://doi.org/10.1016/j.conbuildmat.2012.07.052

    Google Scholar 

  • Bodzak P (2019) Flexural behaviour of concrete beams reinforced with different grade steel and strengthened by CFRP strips. Composites Part B 167:411–421, DOI: https://doi.org/10.1016/j.compositesb.2019.02.056

    Google Scholar 

  • Borosnyoi A, Balazs GL (2005) Models for flexural cracking in concrete: The state of the art. Structural Concrete 6(2):53–62, DOI: https://doi.org/10.1680/stco.2005.6.2.53

    Google Scholar 

  • CAN/CSA-S806–12 (2012) Design and construction of building structures with fibre-reinforced polymers. CAN/CSA-S806–12, Canadian Standards Association, Toronto, Canada

    Google Scholar 

  • Cao Q, Li XJ, Gao RX (2019) Axial compressive performance of CFRP confined self-stressing high-strength concrete cylinders. KSCE Journal of Civil Engineering 23(9):4000–4009, DOI: https://doi.org/10.1007/s12205-019-0039-9

    Google Scholar 

  • Ceroni F, Pecce M (2009) Design provisions for crack spacing and width in RC elements externally bonded with FRP. Composites Part B 40(1):17–28, DOI: https://doi.org/10.1016/j.compositesb.2008.07.004

    Google Scholar 

  • Elsanadedy HM, Abbas H, Al-Salloum YA, Almusallam TH (2014) Prediction of intermediate crack debonding strain of externally bonded FRP laminates in RC beams and one-way slabs. Journal of Composites for Construction 18(5):04014008, DOI: https://doi.org/10.1061/(ASCE)CC.1943-5614.0000462

    Google Scholar 

  • Feng J (2013) Calculation of crack width and stiffness of reinforced concrete beams strengthened with CFRP. MSc Thesis, Zhengzhou University, Zhengzhou, China

    Google Scholar 

  • FIB TG9.3 (2001) Externally bonded FRP reinforcement for RC structures. Technical report on the design and use of externally bonded fibre reinforced polymer reinforcement (FRP EBR) for reinforced concrete structures. International Federation for Structural Concrete, Lausanne, Switzerland

    Google Scholar 

  • Frosch RJ (1999) Another look at cracking and crack control in reinforced concrete. ACI Structural Journal 96(3):437–442

    Google Scholar 

  • Gao L, Zhang F, Liu JQ, Lu XR (2018) Whole-process bond characteristic of FRP-to-concrete joint under pressure. KSCE Journal of Civil Engineering 22(12):5114–5122, DOI: https://doi.org/10.1007/s12205-018-0177-5

    Google Scholar 

  • GB50010–2010 (2010) Code for design of concrete structures. GB50010-2010, China Architecture & Building Press, Beijing, China, Beijing, China

    Google Scholar 

  • GB50608–2010 (2010) Technical code for infrastructure application of FRP composites. GB50608-2010, China Architecture & Building Press, Beijing, China

    Google Scholar 

  • GB/T2281–2010 (2010) Metallic materials — Tensile testing — Part 1: Method of test at room temperature. GB/T2281-2010, China Standards Press, Beijing, China

    Google Scholar 

  • GB/T50081–2002 (2002) Standard for test method ofmechanical properties on ordinary the concrete strength of the concrete. GB/T50081-2002, China Architecture & Building Press, Beijing, China

    Google Scholar 

  • Gergely P, Lutz LA (1968) Maximum crack width in reinforced concrete flexural members. Symposium Paper 20:87–117

    Google Scholar 

  • Gilbert RI (2008) Control of flexural cracking in reinforced concrete. ACI Structural Journal 105(3):301–307

    Google Scholar 

  • Giuseppe S, Francesco B, Fabio S, Ramnath NS (2015) Structural effectiveness of FRP materials in strengthening RC beams. Engineering Structures 99:631–641, DOI: https://doi.org/10.1016/j.engstruct.2015.05.021

    Google Scholar 

  • Hua M (2006) Flexural stiffness and crack widths of rectangular reinforced concrete beams strengthened with externally bonded CFRP sheets. MSc Thesis, Dongnan University, Nanjing, China

    Google Scholar 

  • Japan Society of Civil Engineering (JSCE) (1997) Recommendation for design and construction of concrete structures using continuous fiber reinforcing materials. Japan Society of Civil Engineering, Tokyo, Japan

    Google Scholar 

  • JGJ55–2011 (2011) Specification for mix proportion design of ordinary concrete. JGJ55-2011, China Architecture & Building Press, Beijing, China

    Google Scholar 

  • Ju M, Park Y, Park C (2017) Cracking control comparison in the specifications of serviceability in cracking for FRP reinforced concrete beams. Composite Structures 182:674–684, DOI: https://doi.org/10.1016/j.compstruct2017.09.016

    Google Scholar 

  • Kalfat R, Al-Mahaidi R, Smith ST (2013) Anchorage devices used to improve the performance of reinforced concrete beams retrofitted with FRP composites: State-of-the-art review. Journal of Composites for Construction 17(1):14–33, DOI: https://doi.org/10.1061/(ASCE)CC.1943-5614.0000276

    Google Scholar 

  • Li LJ, Guo YC, Liu F, Bungey JH (2006) An experimental and numerical study of the effect of thickness and length of CFRP on performance of repaired reinforced concrete beams. Construction and Building Materials 20(10):901–909, DOI: https://doi.org/10.1016/j.conbuildmat.2005.06.020

    Google Scholar 

  • Liu QW, Hua M, Zhai RX, Wang J (2007) Crack widths of rectangular reinforced concrete beams strengthened with externally bonded CFRP sheets. Journal of Highway and Transportation Research and Development 24:79–84 (in Chinese)

    Google Scholar 

  • Miás C, Torres L, Guadagnini M, Turon A (2015) Short and long-term cracking behaviour of GFRP reinforced concrete beams. Composites Part B 77:223–231

    Google Scholar 

  • Mugahed AYH, Rayed A, Raizal SMR, Hisham A, Hung CC (2018) Properties and applications of FRP in strengthening RC structures: A review. Structures 16:208–238, DOI: https://doi.org/10.1016/j.istruc.2018.09.008

    Google Scholar 

  • Newhook J, Ghali A, Tadros G (2002) Cracking and deformability of concrete flexural sections with fiber reinforced polymer. Journal of Structural Engineering 128(9):1195–2201, DOI: https://doi.org/10.1061/(ASCE)0733-9445(2002)128:9(1195)

    Google Scholar 

  • Noel M, Soudki K (2014) Estimation of the crack width and deformation of FRP-reinforced concrete flexural members with and without transverse shear reinforcement. Engineering Structures 59:393–398, DOI: https://doi.org/10.1016/j.engstruct.2013.11.005

    Google Scholar 

  • Pan JL, Leung CKY, Luo M (2010) Effect of multiple secondary cracks on FRP debonding from the substrate of reinforced concrete beams. Construction and Building Materials 24(12):2507–2516, DOI: https://doi.org/10.1016/j.conbuildmat.2010.06.006

    Google Scholar 

  • Pankaj A, Ankit G, Rachanna GA (2014) Effect of FRP wrapping on axial behavior of concrete and cyclic behavior of external RC beam column joints. KSCE Journal of Civil Engineering 18(3):566–573, DOI: https://doi.org/10.1007/s12205-014-0259-y

    Google Scholar 

  • Sayed AM, Wang X, Wu ZS (2014) Finite element modeling of the shear capacity of RC beams strengthened with FRP sheets by considering different failure modes. Construction and Building Materials 59:169–179, DOI: https://doi.org/10.1016/j.conbuildmat.2014.02.044

    Google Scholar 

  • Siddika A, Al-Mamun MA, Alyousef R, Amran YHM (2019) Strengthening of reinforced concrete beams by using fiber-reinforced polymer composites: A review. Journal of Building Engineering 25(9):100798, DOI: https://doi.org/10.1016/j.jobe.2019.100798

    Google Scholar 

  • Sun CZ, Miao CQ, Li AQ, Qiao Y (2020) Experimental study on crack width of concrete beam with 600MPa ultra-high strength steel bars under short-term loading. China Civil Engineering Journal 53(1):12–23, (in Chinese)

    Google Scholar 

  • Teng JG, Chen GM, Chen JF, Rosenboom OA, Lam L (2009) Behavior of RC beams shear strengthened with bonded or unbonded FRP wraps. Journal of Composites for Construction 13(5):394–404, DOI: https://doi.org/10.1061/(ASCE)CC.1943-5614.0000040

    Google Scholar 

  • Teng JG, de Lorenzis L, Wang B, Li R, Wong TN, Lam L (2006) Debonding failures of RC beams strengthened with near surface mounted CFRP strips. Journal of Composites for Construction 10(2):92–105, DOI: https://doi.org/10.1061/(ASCE)1090-0268(2006)10:2(92)

    Google Scholar 

  • Teng ZM, Zhu JQ (2003) Concrete structure and masonry structure. China Construction Industry Press, Beijing, China

    Google Scholar 

  • Yu F, Xu GS, Niu DT, Cheng AC, Wu P, Kong ZY (2018) Experimental study on PVC-CFRP confined concrete columns under low cyclic loading. Construction and Building Materials 177:287–302, DOI: https://doi.org/10.1016/j.conbuildmat.2018.05.111

    Google Scholar 

  • Yu F, Zhou H, Jiang N, Fang Y, Song J, Feng CC, Guan YC (2020) Flexural experiment and capacity investigation of CFRP repaired RC beams under heavy pre-damage level. Construction and Building Materials 230:117030, DOI: https://doi.org/10.1016/j.conbuildmat.2019.117030

    Google Scholar 

  • Zhang DD, Li F, Shao F, Fan CF (2019) Evaluation of equivalent bending stiffness by simplified theoretical solution for an FRP-aluminum deck-truss structure. KSCE Journal of Civil Engineering 23(1):367–375, DOI: https://doi.org/10.1007/s12205-018-1093-4

    Google Scholar 

  • Zhao T, Xie J, Dai ZQ (2000) Experimental study on fexural strength of RC beams strengthened with continuous carbon fiber sheet. Building Structure 8:40–43+64, DOI: https://doi.org/10.19701/j.jzjg.2000.07.009 (in Chinese)

    Google Scholar 

  • Zhu HT, Cheng SZ, Gao DY, Sheikh MN, Li CC (2018) Flexural behavior of partially fiber-reinforced high-strength concrete beams reinforced with FRP bars. Construction and Building Materials 161:587–597, DOI: https://doi.org/10.1016/j.conbuildmat.2017.12.003

    Google Scholar 

Download references

Acknowledgments

This work was supported by the National Natural Science Foundation of China (No. 51578001, 51878002), Key Research and Development Plan of Anhui Province (No. 1704a0802131) and Collaborative Innovation Project of Colleges and Universities of Anhui Province (No. GXXT-2019-005).

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Correspondence to Yuan Fang.

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Yu, F., Fang, Y., Zhou, H. et al. A Simplified Model for Crack Width Prediction of Flexural-Strengthened High Pre-Damaged Beams with CFRP Sheet. KSCE J Civ Eng 24, 3746–3764 (2020). https://doi.org/10.1007/s12205-020-2316-z

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