Solved: A static service music wire helical compression

Chapter 10, Problem 10-21

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A static service music wire helical compression spring is needed to support a 20-lbf load after being compressed 2 in. The solid height of the spring cannot exceed \(1 \frac{1}{2}\) in. The free length must not exceed 4 in. The static factor of safety must equal or exceed 1.2. For robust linearity use a fractional overrun to closure \(\xi\) of 0.15. There are two springs to be designed. Start with a wire diameter of 0.075 in.

(a) The spring must operate over a \(\frac{3}{4}\)-in rod. A 0.050-in diametral clearance allowance should be adequate to avoid interference between the rod and the spring due to out-of-round coils. Design the spring.

(b) The spring must operate in a 1-in-diameter hole. A 0.050-in diametral clearance allowance should be adequate to avoid interference between the spring and the hole due to swelling of the spring diameter as the spring is compressed and out-of-round coils. Design the spring.