On the loads limit according to classical failure theories of materials

Abstract

In this paper, a general method for determining a domain D for the principal stresses which assure the strength of the elastic structure for any position of the principal stresses directions is presented. Such this domain permits to calculate the limit loads acting on the elastic structure or to determine the geometric characteristics of the critical structure section for any classical failure theory. In the case of the plane stress state this domain is a circle, and in the space stress state this is a sphere. In both situations, the radius of this domain is calculated for each failure theory.