Static safety factor

1.       Three springs are arranged in parallel like the configuration shown in Figure 3-1(b). They have spring rates k₁ = 50 N/mm, k₂= 150 N/mm, and k₃ = 500 N/mm, respectively. Determine the total spring rate, the force carried by each spring, and the overall deflection if a load of F = 600 N is applied.

2.       A spring made from ASTM A228 wire with ends squared and ground, wire diameter d = 3 mm, outside diameter D_o = 27 mm, 14 total coils, and free length L_f = 80 mm has been chosen for an application. Determine the static safety factor if the spring is subjected to a static load of 175 N.