Finite Element Stress Analysis of Automotive Wheels

A method is shown for the analysis of stresses in automobile wheels. The structure is represented by a set of interconnected elements of finite size. The stresses calculated within each element describe the stress distribution in the cross-section and indicate how an optimum distribution of material may be determined. Formulation of the stiffness matrix of a constant strain triangular element for axisymmetric problems is given, together with the needed modifications for nonaxisymmetric loadings and anisotropic material properties. Illustrative examples show the stress distribution in a 13-inch rim caused by inflating a radial tire that is mounted on it. The examples also show the effects of varying the rim width on the contact pressures at the tire-rim interface and on the maximum principal stress in the wheel.