Calculate the axial force required to deflect the nested spring assembly a distance of 25 mm.

1. Two steel, helical-coil compression springs are to be nested around a common axial centerline. The outer spring is to have an inside diameter of 38 mm, a standard wire diameter of 2.8 mm, and 10 active coils. The inner spring is to have an outside diameter of 32 mm, a standard wire diameter of 2.2 mm, and 13 active coils. Both springs are to have the same free length. Do the following:

a. Calculate the spring rate of each spring.

b. Calculate the axial force required to deflect the nested spring assembly a distance of 25 mm. c. Identify the most highly stressed spring when the assembly is a deflected 25-mm spring.