According to the deformation coordination and force balance condition of shell, the mathematical model to solve the contact pressure between shell and tyre was established. The character of the oblique contact model between kiln roller and tyre was studied, the build-up procedure of oblique contact model between kiln roller and tyre was developed, which is apt to the finite element analysis of roller and tyre under the condition of any load, load rate, oblique angle. By applying uniform design method, the contact finite element calculation scheme between kiln roller and tyre was devised, the stress and deformation of tyre were obtained. The multi-element linear regression was performed, and the fitting formulae of the deformation ovality, the maximum equivalent stress of inner and outer surface of tyre were obtained.