A compression spring is needed to fit within a 1-in diameter hole. To allow for some clearance, the outside diameter of the spring is to be no larger than 0.9 in. To ensure a reasonable coil, use a spring index of 8. The spring is to be used in a machine by compressing it from a free length of 3 in to a solid length of 1 in. The spring should have squared ends, and is unpeened, and is to be made from music wire.
(a) Determine a suitable wire diameter.
(b) Determine a suitable total number of coils.
(c) Determine the spring constant.
(d) Determine the static factor of safety when compressed to solid length.
(e) Determine the fatigue factor of safety when repeatedly cycled from free length to solid length.