A method of imparting structural rigidity to the ply structure of a pneumatic tire which includes determining the existing geometrical designs formed by the various superimposed cords of the adjacent and subadjacent individual plies, in order to enable the addition of one or more plies to the in existing designs in an area where the tire exhibits the greatest susceptibility to failure, or to an existing area where the resulting forces exerted by the individual cords are desired to be changed whereupon various desirable stability characteristics are imparted to the tire. This method of changing the geometrical patterns formed by the individual cord paths of the tire plies enables the design of nondirectional, unidirectional, symmetrical, and asymmetrical tires to be carried out, as well as imparting various degress of directional stability to a tire. The method of the present invention enables the fabrication of light weight, cooler running tires having optimum arranged cord paths and an absence of redundant structure within the tire.