Derive an expression for the reduction r in drawing as a function of drawing ratio DR.
1. Derive an expression for the reduction r in drawing as a function of drawing ratio DR.
2. A cup is to be drawn in a deep drawing operation. The height of the cup is 75 mm and its inside
diameter = 100 mm. The sheet-metal thickness = 2 mm. If the blank diameter = 225 mm, determine
(a) drawing ratio, (b) reduction, and (c) thickness-to-diameter ratio. (d) Does the operation seem feasible?
3. A drawing operation is used to form a cylindrical cup with inside diameter = 65 mm and height =
50mm. The starting blank size = 140 mm and the stock thickness = 2.8mm. determine (a) drawing force
and (b) holding force, given that the tensile strength of the sheet metal (low-carbon steel) = 350 MPa and
yield strength = 190 MPa. The die corner radius = 6 mm. Based on these data, is the operation feasible?
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