Abstract: Two parallel cylindrical rolls in a punching, stamping, printing, smoothing or like machine for running webs of paper or the like carry pairs of hardened bearing rings which have complementary conical surfaces with the conical surfaces of rings for one of the rolls tapering in one direction and with the conical surfaces of rings for the other roll tapering in the opposite direction but at the same angle. This ensures that the rings for one of the rolls are in linear contact with the rings for the other roll. One of the rolls is movable radially of the other roll to change the pressure upon the web which is running through the nip of the rolls, and one of the rolls is movable axially of the other roll to compensate for wear upon the conical surfaces of the bearing rings. All such adjustments can be carried out while the machine employing the rolls is in use.