Abstract: Apparatus which eliminates the risk of forming wrinkles on a strip conveyed through a cooling furnace of a continuous heat-treatment plant, especially an annealing or galvanizing furnace, through which the strip is conveyed by rolls, the latter being heated by contact with the strip over its width, the risk of forming wrinkles occuring during a change of strip width when the following strip is wider, the latter consequently passing over rolls that have preserved the imprint of the thermal expansion due to the previous strip, wherein the heating elements are positioned close to and beneath the rolls, over the entire width of the furnace, and, on the opposite side of the rolls from the said heating elements, panels are positioned which are aligned so as, together with the wall of the furnace, to form a warm chamber, the continuously moving strip serving as a heat shield so that only that part of the roll which is not covered by the strip is heated by the said heating elements.