A tire having a radial carcass reinforcement comprising a crown reinforcement formed of at least two working crown layers of inextensible reinforcement elements, which are crossed from one ply to the other, forming angles of between 10° and 45° with the circumferential direction, which itself is topped radially by a tread, said tread being joined to two beads by means of two sidewalls and at least two working layers having different axial widths. At least one first profiled element P of rubber mix separates one working layer from at least one end of a second, axially narrower, layer, said profiled element P being radially separated at least in part from the liner C of said axially narrower working layer by a second profiled element of rubber mix G, said first and second profiled elements of rubber mix P and G and said liner C having secant moduli of elasticity under tension at 10% elongation MP, MG, MC respectively such that MC≧MG>MP, said tire additionally comprising in each shoulder at least one layer of reinforcement elements, which are parallel to each other in the additional layer and are oriented substantially perpendicular relative to the reinforcement elements of the working layer radially adjacent to said additional layer, and the axially inner end of said additional layer being radially adjacent to the edge of at least one working crown layer.