Abstract: A stressing arrangement for workpieces of cylindrical or at least partially cylindrical shape including a housing which coaxially surrounds the workpiece. For the purpose of temporarily fixedly holding the workpiece for further working, in particular for machining, stressing means are mounted in the housing. The stressing means include a pair of stress pincers, each one of which consists of a plurality of segments, and a pair of pressuring rings. The stress pincers and pressure rings have confronting conical surfaces adapted to coact with each other so that when the pair of pressure rings move apart a radial inward stress is imparted on the workpiece by the stress pincers. A plurality of stressing bolts are threadably mounted in at least one of the pair of pressure rings to selectively cause them to move toward each other or apart from each other.