Circumferential stress concentration factors at the asymmetric shallow notches of the lifting hooks of trapezoidal cross-section

Abstract

The paper presents the equations for the calculation of the circumferential stress conentration factors. The equations were obtained by fitting to the finite element analysis results of the lifting hooks with the shallow notches. The Neubers expression of the stress concentration factors at the shallow notches for the cylindrical beams and plates have been used as a generic fitting equation. The constructed simplified version of this equation, having just one fitting coefficient, is also presented. These equations allow to perform the fast evaluation of the circumferential stress concentration without the usage of the finite element models. The article also presents the preliminar investigation of the stress state triaxiality and the consequent reduction of the materials ductility at the shallow notches of the lifting hooks.