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Question
Calculate the force needed to punch a 1.46 cm diameter hole in a steel plate 1.27cm thick. The ultimate shear strength of steel plate is 345M N/m2 is
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Solution
Here the area where the force is acting is the CSA of the cylinder.
Hence CSA of a cylinder is 2*pi*r*h or pi*d*h
=>Shear Stress=Force acting/Area
=>Force required=Shear Stress*Area
=>Area=5.825cm^2=5.825*10^-4 m^2
=>Force required=345*10^6*5.825*10^-4
=>Force Required=200967.3679 N or 200.967kN
Hence CSA of a cylinder is 2*pi*r*h or pi*d*h
=>Shear Stress=Force acting/Area
=>Force required=Shear Stress*Area
=>Area=5.825cm^2=5.825*10^-4 m^2
=>Force required=345*10^6*5.825*10^-4
=>Force Required=200967.3679 N or 200.967kN
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