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The theoretical study, presented here, deals with the problem of interaction pile soil, thus making a contribution in determining the resistance and friction edge side for a single stake sought by a charge axial static. The theoretical tool used is the theorem cinematic theory analysis limit, in the case of a material Coulomb, developing a model in three dimensions. The aim of this research is to determine the limit load massive breakdown by the model proposed using the computer code mathcad. The calculation program takes into account physical phenomena, ie the expansion and contraction of soil under a load static. The results, calculated by the proposed model are compared with experimental results made in the laboratory 3SR Grenoble (France) and the results of conventional methods used in the calculations of this type of constructions.