The mathematical models of contact pressure distribution between rolling ring and shell under intermittent contact are set up, the formulae of bending moment and bending stress of tyre are obtained. By applying nominal stress method and local stress-strain method, the fatigue life prediction model of rolling ring is built. The results show that the fatigue life can be improved greatly if the rolling ring load can be controlled within 2 500 kN after kiln alignment. The support angle 30° of rolling ring is unreasonable. There exits an optimal angle which will enhance rolling ring life to the utmost.