The state of considerable number of structurally deficient or functionally obsolete infrastructure in the US, along with the prohibitive cost of replacement has opened a way for the search of innovative methods of rehabilitation. One such method is the use of composite plates adhesively bonded to concrete to prevent the propagation of crack within the concrete structure. Due to their high specific strength and corrosion resistance, composite materials serve better than conventional construction materials. The load transfer and the resulting stress distribution in the composite plate and adhesive layer can be investigated analytically and numerically. In this paper, analytical model is selected and used to analyze and predict the failure conditions of the adhesive. Parametric study is also included to understand the effects of the length and thickness of the adhesion bond, the modulus of the adherents and the adhesive. Finally, a general equation of the adhesion bond strength of the single-lap joint is presented for general shear stress-strain behavior of the adhesive.