A plate, t meters thick, is fabricated of a material having ultimate strengths in tensio...

A plate, t meters thick, is fabricated of a material having ultimate strengths in tension and compression of Pa, respectively. Calculate the force P required to punch a hole of d meters in diameter through the plate (Fig. P4.27). Employ (a) the maximum principal stress theory and (b) the Mohr–Coulomb theory. Assume that the shear force is uniformly distributed through the thickness of the plate.