Abstract: The machine according to the invention is used for shaping bodies of rotation--preferably tank bottoms--fixed with radius, by metal spinning between two rollers without the need of costly metal spinning mushroom.The tank bottom is shaped from sheet metal disc between the inner shaped and driven roller forming the arc corresponding to the curvature to be shaped, as well as the opposite free-running roller producing the necessary compressive force. The inner and outer rollers are arranged on a closed frame construction provided with two shanks on which the center of tilting is arranged as to correspond to the required arc. The large radius is formed by the simultaneous tilting of the inner and outer rollers. The flanging is carried out by rolling over the inner shaped roller in such a way that the tilting bridge is fixed and the outer roller moves on in radial direction with the aid of a sledge.