Extended equations of load distribution in the axial direction in a spline coupling

This paper presents an analytical study of axial torque transfer in a spline coupling. The model developed by Tatur has been extended in order to consider different loading cases and geometries. A demonstration of the extended model in a design process is described. A spline coupling is first calculated in accordance with standards. Then the extended model is used to optimize two design options: the best positions for a flange on the sleeve and for a step in the external diameter of the sleeve are determined. A finite element study has also been performed and shows that the extended model can be used to obtain excellent designs. It is also shown that the axial torque distribution mainly influences the damage related to fretting, without changing the maximum stress coefficient factor at the root of the shaft.