Abstract: Apparatus for making a spindle-type body with at least one eccentric zone from a semi-product of circular cross-section by gradually radially displacing the eccentric zone of the semi-product to bring its eccentricity from zero to the desired value. The apparatus includes a multi-part die with shaping jaws providing a semi-product shaping passage therein, the semi-product being thrust axially into the die while the semi-product and the die rotate relatively to each other.