Abstract: A technique for comprising the compression fatigue rupture strength of the carcass reinforcement external layer (3) of an aeroplane tire in the region of bending on the rim (7). The distance (d) between a point (A) on the bead external face (6) and the carcass reinforcement external layer (3), measured along the straight line perpendicular at this point to the bead external face, is at a maximum at the point (M) on the bead external face that is the orthogonal projection of the radially external end (E) of the filling element (5) onto the bead external face, and the distance (dmax) between the orthogonal projection (M) of the radially external end (E) of the filling element (5) onto the bead external face (6) and the carcass reinforcement external layer (3) is at least equal to 1.3 times the distance (d1) between the orthogonal projection (L) of the center (O) of the bead wire core (4) onto the bead external face and the carcass reinforcement external layer.