Punch a 10 mm diameter hole through a 5 mm thick rock plate as shown. The rock plate yield strength is 25 MPa. Find the punch force in kN, to one decimal.
Punching failure occurs on the cylindrical perimeter area πdt, rather than the circular face area. Thus P = 25×π×10×5 N = 3926.99 N = 3.927 kN, or 3.9 kN. This uses the stated strength as the punching/shear yield strength intended by the source.
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