The invention relates to an aircraft brake for braking a wheel received on an axle presenting in succession a large-diameter cylindrical upstream portion, a conical portion, and a smaller-diameter cylindrical downstream portion suitable for receiving the wheel, the brake comprising: a stack of disks; a structural engaged on the axle and having the disks mounted thereon, the structural part comprising a support member for receiving braking actuators and including a centering portion for centering the structural part on the upstream cylindrical portion of the axle; and a torsion tube receiving the disks, the torsion tube being made integrally with the support member and the centering bearing surface and extending substantially to extend the centering bearing surface in register with the conical portion of the axle; and a braking force takeup member separably fitted on a free end of the torsion tube remote from the centering bearing surface.