A tire has an axis of rotation. The tire includes two inextensible annular bead structures for attachment to a vehicle rim, a carcass-like structure having at least one reinforced ply, the carcass-like structure being wound about the two bead structures, a tread disposed radially outward of the carcass-like structure, and a shear band structure disposed radially between the carcass-like structure and the tread. The two bead structures include at least one layer of a three dimensional fabric including a tear drop frame structure and open cells defined by the tear drop frame structure.