Repeat Prob. 111 for: (a) = F/A, where A = d2/4, F = 120 kN, and d = 20 mm. (b) = 32 Fa/d3, where

Repeat Prob. 1–11 for:
(a) τ = F/A, where A = πd2/4, F = 120 kN, and d = 20 mm.
(b) σ = 32 Fa/πd3, where F = 800 N, a = 800 mm, and d = 32 mm.
(c) Z = (π/32d)(d4 − d4) for d = 36 mm and di = 26 mm.
(d) k = (d4G)/(8D3N), where d = 1.6 mm, G = 79.3 GPa, D = 19.2 mm, and N = 32 (a dimensionless number).