Application of body force method to the analysis of stress concentration of an axisymmetric body under bending: II. Stress concentration of a cylindrical bar with a semi-elliptical circumferential notch under bending

Abstract The stress concentration of a cylindrical bar with a semi-elliptical circumferential notch under bending is analyzed on the basis of the basic theory established in the first paper. The stress concentration factors are systematically calculated for various combination of notch dimensions. It is found that the stress concentration factors by so-called Neuber's trigonometric rule has non-conservative error of about 7% for wide range of notch depth. The stress concentration factors are illustrated in the charts so as to be used easily in designs or researches. The effect of notch shape on the stress distribution at a minimum section is also discussed from the viewpoint of the notch effect in fatigue strength of notched cylindrical bars. The error of the stress concentration factors obtained in the present analysis is less than 1% for the worst cases (very deep notch) and less than 0.1% for most cases.