Method of rolling using bendable sleeved roll

A method of rolling an elongated metal workpiece in the form of a sheet or strip, which method comprises passing the workpiece through at least one pair of opposed work rolls comprising an arbor and a hollow sleeve shrink-fitted over the arbor, maintaining maximum radial stresses in a central portion of a shrink-fitted zone, decreasing radial stresses between the arbor and the sleeve towards the ends of the shrink-fitted zone whereby axially spaced shrink-fitted end zones of the sleeve are adapted to slide over corresponding axially spaced shrink-fitted end zones of the arbor, providing a self-compensating roll end by radially spacing apart axial end portions of the arbor and axial end portions of the sleeve thereby preventing inducement of shear stresses between the axial end portions of the arbor and the sleeve and reducing edge drop of the workpiece, wherein a dimension of the radial spacing of the arbor and sleeve end portions transverse to an axial direction of the work roll increases toward axial ends of the work roll, and backing up each pair of work rolls by a pair of backup rolls each of which comprises an arbor and a similarly shrink-fitted hollow sleeve and having self-compensating end portions formed by radially spacing end portions of the backup roll arbor and sleeve, whereby crown variation of the workpiece is reduced during rolling.