Heavy goods vehicle tyre (10), in at least one of the beads of which the following three conditions (A) to (C) are met: (A) the angle formed between the straight line Lland the axial direction, is greater than or equal to 30°, and less than or equal to 60°; (B) the minimum distance D between the outbound portion of the carcass ply, and the free end of the wrapped-around portion of the carcass ply is less than or equal to 50% of the max distance Dmax between the outbound portion and the wrapped-around portion of the carcass ply; and (C) the tyre further comprises, axialIy adjacent to the carcass ply, an additional reinforcing ply (80), in which the angle formed between the straight line L2 and the axial direction is greater than or equal to 60° and the angle formed between the straight line L3 and the axial direction is less than or equal to 30°.