Abstract: A tensioning pulley set for a straightening machine for straightening a strip or for a re-rolling stand for re-rolling a strip, comprising a first tensioning pulley with a first pulley axis and at least one second tensioning pulley with a second pulley axis, the first tension pulley being a flatness measuring pulley having a force sensor for measuring a radial force applied to the circumferential surface of the flatness measuring pulley, and a drive for the second tensioning pulley with which a torque can be applied thereto on the second pulley axis, either the first tensioning pulley configured without a drive, or an auxiliary drive provided for the first tensioning pulley with which a torque can be applied to the first tensioning pulley on the first pulley axis, the auxiliary drive for the first tensioning pulley being significantly weaker than the drive for the second tensioning pulley.

Abstract: In a process for presetting the adjusting-member positions of a roll stand upon the rolling of a new coil or for the next pass in each case during cold rolling of bands, adjusting-member positions for the band flatness are used that are based on the corresponding actual data of the first pass of a reference coil, whose reference data results in the best correspondence with the target data of the new coil, or on the actual data of the preceding pass. At the same time, the band thickness can be preset by the specification of a rolling force or adjustment position adapted over a certain time period from the actual data of reference conditions of the roll stand or the rolling mill train.