Repeat Prob. 111 for: (a) = F/A, where A = d2/4, F = 120 kN, and

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 d_i = 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).