Abstract
A contact stress problem which arises from the machine elements model "Three dimensional contact stress problem", that is Hertzian theory, is considered. Most objects are used practically in the state of three dimensional contact stress. The contact stress, between the objects surfaces is considerable high. The behaviour of coefficients of support ξ and η, the contact ellipse section of objects, is effected by the complete elliptic integral. Therefore, we have to make use of numerical approach, because of we get to know a value of contact stress. In this note, ξ,η can be write using by the complete elliptic integral, and how to compute the contact stress using the approximation of arithmetic geometric means.