A coupling is provided in which a coupling member and coupling sleeve of a rotary coupling for coupling a drive transmission to a rolling mill stand input shaft have mating taper threads which provide torsional rigidity and facilitate quick engagement and release. Engagement and release are effected by slowly turning the coupling half by means of the drive transmission while a brake device engages dogs on the coupling half to prevent the latter rotating. The coupling sleeve is flexibly attached to the flange by sheet metal laminate compensating elements but mobility of the sleeve is restricted by a support element on a shaft extension.
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