A tire with a radial carcass reinforcement intended to equip a heavy vehicle such as a transport vehicle or construction machinery, the tire having an axial width grater than 37 inches. The tire includes a working crown reinforcement having at least two continuous plies formed from reinforcement elements crossed from one ply to the next, forming with the circumferential direction angles of between 10° and 35°. The working crown reinforcement is supplemented on each side of the circumferential mid-plane by at least three half-plies whose reinforcement elements form with the circumferential direction angles of between 10° and 40°. The half-ply extending axially the most towards the outside is in contact with at least two other working crown half-plies, and the three half-plies radially overlap the axially external ends of at least two continuous working crown plies.