An extruder for making a curved workpiece has an extruder frame including a counterbeam extending transversely of an extrusion direction and formed with a recess that is throughgoing in the direction and a tool recessed in the recess and including a die having a downstream face spaced upstream in the direction from a downstream side of the counterbeam. A hot metal block is pressed against an upstream face of the die to extrude a strand in the direction from the downstream face of the die. Immediately downstream of the die a transverse external force is applied to the strand to bend it. The tool includes a pressure plate that extends completely through the counterbeam in the extrusion direction.