A pneumatic radial ply tire incorporating a crown reinforcing structure comprises at least one reinforcing hoop located approximately on the equatorial plane and disposed radially inward of the tread and radially outward of the carcass structure. The hoop is surrounded or encased by a layer of elastomeric transition material providing a flexible structural connection between the hoop and the adjacent carcass structure and belt structure. The hoop may have a substantially lenticular shape, or a complex shape with two thickened sections or lobes connected by a thin waist-like section, or a shape and a location that is asymmetric with respect to the equatorial plane of the tire, and may be made by winding a thin strip of material such as UHMWPE in an elastomeric matrix. The hoop may replace the belt structure of the tire.