A rectangle shaped opening will be removed from the sheet metal with single punch. The sides of the rectangle are 15 mm and 60 mm. The thickness of the sheet metal is 3 mm. The ultimate tensile strength of the material is 190 MPa. Calculate the necessary force to cut the sheet metal

The force needed to cut the sheet metal is 171 kN.

Explanation:

Force (F) needed to cut the sheet metal is the ultimate tensile strength of the material multiplied by the area of the rectangle.

ultimate tensile strength = 190 MPa = 1.9×10^8 Pa

area of rectangle = (15/1000) × (60/1000) = 0.015×0.06 = 0.0009 m^2

F = 1.9×10^8 × 0.0009 = 171,000 N = 171,000/1000 = 171 kN

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