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The term 'shape' denotes the degree of flatness of strip when resting freely on a flat surface. Its on-line measurement during cold rolling is done indirectly, taking advantage of its effect on the lateral distribution of rolling tension. Differential tension sensing instruments currently under development are briefly described and fuller details are given of the BISRA Magnetic Shapemeter. Next, the question of what shape is in practice tolerable is discussed with reference to published measurements, and mathematical descriptions of the strip profile and differential tension distribution are introduced. The problem of shape control is introduced with the help of these descriptions which enable an elementary control algorithm to be specified for a single-stand mill equipped with tension, screw-down and roll bending regulators. The experimental use of the control algorithm in manual control of a single-stand reversing mill is reported. The report concludes with a discussion of combined gauge and shape control. (Author)