Following calculator has been developed to calculate contact stress of sphere (ball) in a circular race. This type of situation is generally seen at the contact region of ball bearings. The schematic representation of the contact is given in the figure.

This calculator is an additional calculation tool to Hertzian contact calculator. The formulas used for the calculations are given in the "List of Equations" section. See the "Supplements" section for the link to contact calculation example of a ball bearing.

Ball Bearing: A type of rolling bearing to reduce the friction and support axial and radial loads. There are different kind of designs such as angular contact ball bearing, axial ball bearing and deep-groove radial bearing.

Modulus of elasticity (Young’s modulus): The rate of change of unit tensile or compressive stress with respect to unit tensile or compressive strain for the condition of uniaxial stress within the proportional limit. Typical values: Aluminum: 69 GPa, Steel: 200GPa.

Poisson’s ratio: The ratio of lateral unit strain to longitudinal unit strain under the condition of uniform and uniaxial longitudinal stress within the proportional limit.

Shear stress: A form of a stress acts parallel to the surface (cross section) which has a cutting nature.

Stress: Average force per unit area which results strain of material.