Stressing State Analysis of Reinforcement Concrete Beams Strengthened with Carbon Fiber Reinforced Plastic

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International Journal of Concrete Structures and Materials Open Access

RESEARCH

Stressing State Analysis of Reinforcement Concrete Beams Strengthened with Carbon Fiber Reinforced Plastic Jie Huang1,3, Jun Shi1,2*  , Hengheng Xiao3, Jiyang Shen3 and Baisong Yang3

Abstract  This paper investigated the working behavior characteristics of six reinforcement concrete (RC) beams subjected to bending based on the numerical shape function (NSF) method and structural stressing state theory. Firstly, the structural stressing state mode is expressed based on the generalized strain energy density (GSED) derived from the measured strain data. Then, one of the Carbon Fiber Reinforced Plastic (CFRP)-strengthened RC beams is taken as an example and the leap characteristics of RC beam’s stressing state are detected by applying the Mann–Kendall (M–K) criterion, updating the existing definition of the structural failure load. Accordingly, the stressing state modes and strain fields of the CFRP-strengthened RC beam are proposed to reveal their leap characteristics. Furthermore, through comparing the working performance of six RC beams, the effects of different strengths and different reinforcement ratios on CFRP strengthening performance are investigated. Finally, the NSF method is applied to reasonably interpolate the limited strain data for further revealing the stressing state characteristics of the RC beams. The research results explore a new analysis method to conduct an accurate estimation of the structural failure load and provide a reference for the future design of CFRP-strengthened RC beams. Keywords:  stressing state, leap, failure load, stressing state mode, numerical shape function, CFRP, reinforcement concrete beam

1 Introduction Reinforced concrete (RC) structures are extensively used in civil engineering construction and most of the existing RC structures are in need of reinforcement and maintenance due to corrosion, freezing and thawing cycle, sulfate attack, and physical damage from impacts. (Toutanji et al. 2006; Benjeddou et al. 2007; Rafi et al. 2008; Hawileh et  al. 2015). To tackle this problem, Fiber Reinforced Plastic (FRP) has been widely adopted in strengthening *Correspondence: [email protected] 2 National Engineering Laboratory for High Speed Railway Construction, Changsha, China Full list of author information is available at the end of the article Journal information: ISSN 1976-0485 / eISSN 2234-1315

and retrofit of structural members, such as slabs, beams, and columns (Bousahla et  al. 2020; Medani et  al. 2019; Draoui et al. 2019; Karami et al. 2019). The FRP materials are known to have the high strength-to-weight ratio, high durability, electromagnetic neutrality, ease of installation, resistance to corrosion, rapid execution with low labor, and practically unlimited availability in size, geometry and dimension of these materials (Ali et al. 2014; Salama et al. 2019; Hawileh et al. 2014). Carbon Fiber Reinforced Polymer (CFRP) possibly enhances the mechanical properties of concrete compared to ot