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There are many advantages when high-strength concrete instead of normal-strength one is used, especially in the increase of both compressive strength and the higher durability. However, due to the brittleness of high-strength concrete, for the purpose of applying to real structure. Many researches were focused on an experimental study. Concrete columns subjected to triaxial compressive stresses have to consider that the properties of columns are nonlinear materials, an interaction between longitudinal bars and reinforcing steels, a variety of confined stresses about stress increment, a crack modeling, a buckling of longitudinal bars and etc. Analyses of concrete columns is presented. And then, for an active support of an experimental study, the analytical studies carried out. A computer software, ABAQUS/Standard 6.2, was used to analyze a nonlinear finite element analysis of high-strength concrete columns under axial loads. This study is to propose logical finite element models, and the construction of an efficient finite element. The purposes of analytical study are simplicity and efficiency of finite element models. The analytical models are applied to the stress-strain curves of proposed equations. This curves were considered to the effects of the volumetric ratio, intervals of lateral ties, and the distribution of the longitudinal steel around the core perimeter, etc.. The analytical models were composed to confine and unconfine and areas. Diagrams and charts illustrate the analytical and empirical results. Analytical results applied to the proposed method are equal to experimental results.