A pneumatic tire includes a carcass comprising a reinforcing ply structure extending between a pair of bead portions, a pair of sidewalls, a tread, a belt reinforcing structure located radially outward of the carcass and radially inward of the tread, and an insert located in each sidewall. Each sidewall is located radially outward of one of the pair of bead portions. Each insert has a first segment constructed of a first material and a second segment constructed of a second material. The first material has a different stiffness than the second material.