A longitudinal rolling process for plates is given. The diameter of the work rolls is dw = 150 mm. The plate should leave the rolling stand at a speed of v₁ = 18 m/min. It is fed to the rolling stand with an initial thickness of ho = 2 mm. The friction between sheet and roll is μ = 0.1. a) To what minimum thickness himin can the sheet be rolled? For this purpose, first derive the formula for the minimum roller diameter dmin using a sketch from the gripping condition μ > tan αE. Then calculate the pressure angle &E, the maximum change in sheet thickness Ah and finally the smallest sheet thickness h1min! b) At what speed vo must the sheet be fed to the rolling stand?

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Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.