With the development of technology in the field of structural analysis, it has now become possible to computationally model more complex structures, each with its own peculiarity, such as those with structural reinforcement. With regard to the non-linear analysis of structural elements in reinforced concrete, the Finite Element Method is ideal, since it is only possible with the use of computational resources. For columns subjected to flexion compression, elements that are highly susceptible to second-order effects and which have as an important function the global stability of buildings, software for numerical analysis, such as ATENA, become especially applicable for the study of behavior structural of these elements. Marques et al. (2015) carried out a study on the performance of columns reinforced through casing with self-compacting concrete and wedge bolts applied to prevent slipping between these materials. Based on this study, then, in this work, 5 numerical models were developed in the ATENA software: PO, PR, P150-18, P150-26 and P75-50. The first two are references (original column and reference column, respectively), while the others are reinforced, whose nomenclature distinguishes them in terms of the quantity and disposition of wedge bolts on the compressed face of the element. The relationships and parameters that allowed the analysis of the models were: rupture load versus displacement, specific strains in longitudinal reinforcement, cracking and stresses in wedge bolts at failure. Good results were obtained, both with regard to the variation between the experimental results and those obtained numerically, and for the performance of the structural reinforcement technique, which represents the reliability of the computational modeling and the adopted methodology. The variation between such results respected the 15% limit established by the comments of the ACI 318 (2011) standard, with the exception of the PO, and the reinforcement technique, in turn, resulted in the growth of the initial strength of the column in its original condition (PO). The present study allows, therefore, to guarantee and disseminate the application of numerical simulation for the analysis and design of reinforced concrete elements.