Abstract
Stress intensity factors have been calculated by finite element methods for a straight edged crack in a plane normal to the axis of rotation of a circular cylinder under tension and bending, and for a similar crack at the base of a symmetric groove in a shaft under tension and bending and under compressive stresses on the cylindrical surface. Satisfactory agreement with results of simplified approximations was found in most cases. A simple formula for determining the effect of the crack on the stiffness of the shaft in bending has also been derived. For the crack in an ungrooved cylinder, the stress intensity factor due to tensile or bending loads was highest at the centre, and lower than that due to a semi-elliptical notch in a slab of the same thickness under the same load. For bending loads on cracks of depths up to a tenth of the cylinder diameter, the stress intensity factor is approx. 1 1 2 σ√l (where l is the maximum crack depth and σ the maximum stress in the absence of the crack). For cracks in shallow grooves, the maximum stress intensity under tensile and bending loads is also at the centre but that for cracks in deep grooves is at the surface. The maximum stress intensity factor due to shrink fit is near the surface for both types of groove.
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