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The present paper describes numerical and experimental methodology for the analysis of stress and deformation state in structural elements with geometrical discontinuities. The research is based on structural elements of the connecting lug type. The stress and deformation state was determined as the contact area size between the axle and the connecting lug was changing. Numerical analysis was conducted by applying the finite element method in a ''KOMIPS'' software package. Experiments were performed at the Laboratory for stress and deformation measurements, Faculty of Mechanical Engineering, University of Belgrade, using ''GOM'' equipment and ''ARAMIS'' software application (DIC). This paper demonstrates how it is possible to anticipate the results by applying FEM. A short review of current research in the field of structural elements with geometrical discontinuities is given within the framework of the paper.