A self-adjusting shim includes an inner element and an outer element. The outer element defines an internal threaded bore and a projecting tab that limits rotation of the outer element. The inner element includes a threaded outer surface and an inner opening. The threaded outer surface is received in the threaded internal bore such that relative rotation between the inner and outer element results in relative axial movement therebetween. The inner opening includes a torque transmitting feature such as an out-of-round surface or an internally projecting element that is directed radially inwardly so as to couple the inner element to a bolt for rotation.