a tire changer including a base adapted to be supported upon an underlying surface , a tire supporting table disposed in an elevated position on the base and comprising at least three radially outwardly extending arms , a plurality of hook - shaped notches in the upper surfaces of two of the arms and opening upwardly to define hooks directed towards the center of the table , a plurality of rim clamps , each comprising a pair of spaced plates with aligned hook formations adapted to engage the rim of a wheel placed on the table and interconnected by two spaced rods , the plates being spaced sufficiently so as to straddle a corresponding arm with one of the rods received in a selected one of the notches in the other of the rods in substantial abutment with the upper surface of the corresponding arm to locate the associated hook formation above the corresponding arm in a position opening toward the center of the table at a location generally radially outwardly with respect to the arm of the pin received in the notch , at least two of the clamps being removably received on respective ones of the two arms , a movable mount for another of the clamps so that the same may move in a generally radial path on the third arm and an operator for selectively positioning the additional clamp along that path of movement .