A tire to be mounted on a rim of axial width L, with flanges with rounded rim hooks, having a tread joined to two beads (3) by two sidewalls (2) and at least one carcass reinforcement (1) formed of at least one ply of reinforcement elements, characterized in that each bead (3) is without a bead wire, the carcass reinforcement (1) having in each bead (3) a meridian profile which is curved axially and radially from the outside to the inside to form an axially inner edge located in an angle a open axially and radially towards the inside, one of the edges of which is parallel to the axis of rotation, the carcass reinforcement (1) being reinforced in each bead (3) at least radially to the outside and axially to the inside by at least one first continuous additional layer (6), of meridian profile substantially parallel to the meridian profile of the carcass reinforcement (1) in the bead (3) and including at least one first section composed of at least one ply (61, 62, 63) of inextensible reinforcement elements forming an angle of between -2.5° and +2.5° with the circumferential direction.
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