A tire carcass is disclosed herein which includes a first radial ply, first and second sidewalls, a carcass crown portion, the carcass crown portion having a first edge and a second edge, and a non-continuous second radial ply, the second radial ply having a right side extending from approximately the first edge of the carcass crown portion, and extending approximately to at least the first bead core and a left side extending from approximately the second edge of the carcass crown portion, and extending approximately to at least the second bead core, wherein at least one of the sidewalls and the carcass crown portion are made of dissimilar material.