Abstract: An axial force control nut assembly 10 includes a seat member 11, a fastening nut 12 rotatable relative to the seat member and a ring assembly 13 disposed between the seat member and the fastening nut. The ring assembly 13 can include one or more rings. At least one of the rings is an axial force control ring 20 is freely rotatable before a bolt axial force reaches the proper axial force and is restricted in rotation after the bolt axial force is equal to or greater than proper axial force. Alternatively or in addition, the ring assembly 13 can include an elastic deformation ring 21. A gap is defined between a radially outer portion of the elastic deformation ring 21 and the seat member 11 before the bolt axial force reaches the proper axial force. The gap between the radially outer portion of the elastic deformation ring 21 and the seat member 11 becomes zero after the bolt axial force is equal to or greater than the proper axial force.