Q.
Calculate the force 'F' needed to punch a 1.46 cm diameter hole in a steel plate 1.27cm thick. The ultimate shear strength of steel is 345MN/m2 (Appox) .
2985
235
Mechanical Properties of Solids
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Solution:
As in punching, shear elasticity' is involved, the hole will be punched it (AF11)> ultimate shear stress F11>(shearstress)×Area F11 min > (3.45×108)(2πrL)[A=2πrL]
= (3.45×108)(2×3.14)×0.73×10−2×1.27×10−2 = 200 KN