A rolling mill or apparatus comprises position detectors or sensors which are disposed upon movable roll shells or movable solid rolls possessing, for instance, hydraulic support or pressure elements. The position detectors act upon regulators for regulating a force differential between a larger pressing force exerted by bottom or lower support elements in relation to a lesser pressing force exerted by top or upper support elements. The excess or resultant of the pressing force produced by the bottom support or pressure elements decreases with increasing height of the position of the rolls until there is established an equilibrium position. During operation there exists an equilibrium condition between the upwardly directed force of the bottom support elements and the sum of the downwardly directed pressing force of the upper or top support elements and the weight of all of the parts therebetween.