Shrink-fit chuck for clamping an object, in particular for clamping a tool in a machine tool, preferably for clamping a milling cutter in a milling machine, having a) a substantially cylindrical receiving bore for receiving a substantially cylindrical shank of the object to be clamped, the receiving bore extending in the shrink-fit chuck and being bounded externally by a wall, b) a threaded bore, b1) which passes completely through the wall of the receiving bore and extends transversely to the longitudinal axis of the receiving bore, b2) wherein the threaded bore is arranged eccentrically with respect to the diameter of the receiving bore and thus does not extend exactly radially with respect to the longitudinal axis of the threaded bore, and c) a clamping screw which can be screwed into the threaded bore, c1) wherein the clamping screw, in the screwed-in state, can act with its free end on a clamping surface in the circumferential surface of the shank and thereby prevents axial withdrawal of the object, c2) whereas in the unscrewed state the clamping screw cannot not act on the clamping surface of the shank and thus enables axial withdrawal of the object, characterized by d) a rib which extends transversely to the longitudinal axis of the receiving bore and projects inwards from the wall of the receiving bore into the receiving bore, so that the rib enables the shaft to be completely inserted into the receiving bore only in a specific angular position of the shaft. a) a substantially cylindrical receiving bore for receiving a substantially cylindrical shank of the object to be clamped, the receiving bore extending in the shrink-fit chuck and being bounded externally by a wall, b) a threaded bore, b1) which passes completely through the wall of the receiving bore and extends transversely to the longitudinal axis of the receiving bore, b2) wherein the threaded bore is arranged eccentrically with respect to the diameter of the receiving bore and thus does not extend exactly radially with respect to the longitudinal axis of the threaded bore, and b1) which passes completely through the wall of the receiving bore and extends transversely to the longitudinal axis of the receiving bore, b2) wherein the threaded bore is arranged eccentrically with respect to the diameter of the receiving bore and thus does not extend exactly radially with respect to the longitudinal axis of the threaded bore, and c) a clamping screw which can be screwed into the threaded bore, c1) wherein the clamping screw, in the screwed-in state, can act with its free end on a clamping surface in the circumferential surface of the shank and thereby prevents axial withdrawal of the object, c2) whereas in the unscrewed state the clamping screw cannot not act on the clamping surface of the shank and thus enables axial withdrawal of the object, characterized by c1) wherein the clamping screw, in the screwed-in state, can act with its free end on a clamping surface in the circumferential surface of the shank and thereby prevents axial withdrawal of the object, c2) whereas in the unscrewed state the clamping screw cannot not act on the clamping surface of the shank and thus enables axial withdrawal of the object, d) a rib which extends transversely to the longitudinal axis of the receiving bore and projects inwards from the wall of the receiving bore into the receiving bore, so that the rib enables the shaft to be completely inserted into the receiving bore only in a specific angular position of the shaft.