Generally, final design results are rounded to or fixed to three digits because the given data cannot justify a greater display. In addition, prefixes should be selected so as to limit number strings to no more than four digits to the left of the decimal point. Using these rules, as well as those for the choice of prefixes, solve the following relations:
(a) σ = M/Z, where M = 1770 lbf ∙ in and Z = 0.934 in3.
(b) σ = F/A, where F = 9440 lbf and A = 23.8 in2.
(c) y = Fl3/3EI, where F = 270 lbf, l = 31.5 in, E = 30 Mpsi, and I = 0.154 in4.
(d) θ = Tl/GJ, where T = 9 740 lbf ∙ in, l = 9.85 in, G = 11.3 Mpsi, and d = 1.00 in.