A tire having an outside-in ply construction is provided which torques the tire bead into the rim of the wheel to which it is mounted. The tire has first and second axially-spaced bead cores, a carcass having at least one belt extending under a tread, and a first ply layer having first and second ends. A first end is located axially outside and adjacent a first bead core, and a second end folds from a position axially outside a second bead core to a position axially inside and around the second bead core. The carcass further comprises a second ply layer having first and second ends, a first end is located axially outside and adjacent the second bead core, and a second end that folds from a position axially outside a first bead core to a position axially inside and around the first bead core. The tire may also comprise a first and second axially-spaced bead core, a carcass having at least one belt extending under a tread, and a first ply layer having first and second ends, a first end is located axially outside and adjacent a first bead core, and a second end that is located axially outside and adjacent a second bead core. The carcass further comprises first and second shoulder ply layers each shoulder ply layer having first and second ends, a first end is located under the tread belt, the shoulder ply extending down the side wall region with the second end folding from a position axially outside a respective bead core to a position axially inside and around the bead core.