In this study, in order to better understand the effects of normal and shear stresses on the strength of the adhesive joints, the end-to-end conical adhesive joint geometry, in which the normal and shear stresses that will occur at the interface change with the change of the taper angle, was investigated. Conical bonding surfaces of two materials, aluminum and structural steel, at different angles, numerical analysis of the butt joint obtained by using DP810 structural adhesive was performed. In the analysis, failure loads were determined for the same adhesion surfaces of the joints at different angles by using the von Mises yield and fracture criteria. In addition, stress distribution graphs were obtained for all adhesion surfaces against the same load and their comparisons were made. As the angle and diameter of the conical joint geometry increased, the joint damage loads increased.