Methods are presented for calculating dynamic contact patch areas of an elastically supported cylindrical shell used to model the dynamic rolling of a loaded pneumatic tire. These areas are shown to be influenced considerably by rolling velocity, constructional parameters of the tire, and its loss characteristics. Dynamic pressure distributions within contact patch areas are obtained analytically, and the techniques involved are given. The shell is used as a basis for calculating load carrying and drag properties of a pneumatic tire so that various tire parameters may be approximated. The results given here are typical of information obtainable from such a model.