Stress Concentration in a Capped Circular Cylindrical Shell with Circular Cutout

摘要

The purpose of this report is twofold: (1) To determine stress concentration factors associated with a capped infinite circular cylinder with a circular cutout under internal pressure loading and a constant shear distributed on the edge of the cutout. (See Section IV) This corresponds to a cylindrical pressure vessel with an inlet. (2) To investigate the effect of Poisson's ratio on the stress concentration factor in the three cases: (Case I) A uniformly distributed bending moment around the edge of the cutout (Bending Moment Case) (Case II) A uniform longitudinal tensile load with the edge of the cutout stress-free (Extension Case) (Case III) A uniform internal pressure with a uniform transverse shear at the edge of the cutout (Internal Pressure Case). The interest in studying the Poisson ratio effect is motivated by the fact that the two experimental techniques of stress determination, namely resistance strain gauge measurements on steels and photoelastic measurements on plastics, make use of test materials of very different Poisson's ratio, namely nu = 0.30 and nu = 0.49 respectively. In both experimental and practical application, the greatest interest lies in cylindrical pressure vessels.