This paper presents a general approach to deal with the failure analysis of reinforced concrete columns strengthened with carbon-fiber-reinforced plastic (CFRP) sheets including bond-Slip and discusses the effects of the bond-slip & anchorage of the longitudinal reinforcing bars. It is based on the yield design theory with a mixed modeling of the structure, according to which, firstly, the concrete material and the longitudinal reinforcing bars are treated as classical three-dimensional continuum and in shear reinforced zones both the shear CFRP sheets and transverse reinforcing bars are incorporated in the analysis through a homogenization procedure and they are only in tension; Secondly, the finite element in the footing is flexibility-based, but in the column it is stiffness-based. The method is then implemented numerically by means of the finite-element formulation, thus produces accurate estimates for the response of the concrete members strengthened with CFRP sheets taken ad an illustrative application. Numerical predictions are in good agreement with the experimental results.