The subject of the problems and progress in predicting the mechanical behavior of tires subjected to dynamic loading is treated in two parts. The difficulties associated with this problem and various methods that have been proposed for its treatment are first discussed. The application of finite element techniques is emphasized, both with respect to current success and future potential. The second part presents a detailed analysis of this same problem using classical membrane theory. Although the model is developed using the same basic considerations employed by earlier investigators, its final formulation provides for greater generality and flexibility in application. It has the capability of defining meridian profiles and, consequently, cord strains under a condition of inflation and centrifugal loading as a function of geometric and cord load parameters designated at any point on the tire carcass. The result is a method of analysis which can be easily applied to study the effects of a variety of tire design and constructional constraints on carcass shape and cord tensions.