A round hole will be created at a sheet metal with a single punch. The diameter of the hole is 10 mm and the thickness of the sheet metal is 1 mm. The ultimate tensile strength of the material is 190 MPa.
Calculate the necessary force to cut the hole at the sheet metal.

force = 5.969 kN

Explanation:

given data

diameter of the hole D =  10 mm

thickness of sheet metal T = 1 mm

ultimate tensile strength =  190 MPa

solution

force is express as

force = ultimate tensile strength × Area  1

and here area will be

area = π × D × T   2

area = π × 10  × 1

area = 31.4159 mm²

so put value in equation 1 we get

force  = 190 × 31.4159

force = 5969.02 N

force = 5.969 kN

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