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A numerical model was developed to investigate the flexural performance of Carbon Fibre Reinforced Polymer (CFRP) strengthened concrete curved beams subjected to outof-plane bending. In this study, near surface mounted (NSM) technique has been used to strengthen the curved beams due to easy of application in curved beams subjected to out-of-plane bending. A commercially available finite element analysis software was used to simulate a numerical model and a nonlinear analysis was carried out. Alternative bonding arrangements were considered. The results indicate the highest strength performance in the curved beams with CFRP strip bonded in the radial direction of the beams. Further, it was revealed that the CFRP thickness, Elastic Modulus of CFRP, Concrete Grade, and the beam curvature affect the strength enhancement.