Rather reliable computational methods, based on equations of the moment-free theory of shells, have been developed for the earlier diagonal type of automobile tires. Biderman et al. [i] discuss these methods in detail~ Conversion from diagonal to radial tires required the use of more precisely defined models, since it was no longer possible to neglect the moments inherent in the stress-strain state of the tire casing. As applied to the computation of radial tires, this situation was first defined more precisely in [2-6] in which the sidewall of the tire was treated as a moment-free transversely isotropic shell, and the portion in contact with the road as consisting of two orthotropic moment-free layers (breaker and carcass) and an incompressible rubber interlayer between them, which takes up transverse shear. A similar statement has made it possible to evaluate the effect of transverse shear in the rubber interlayer.