A helical compression spring is needed to fit over a 0.5 in. diameter rod. To allow for some clearance, the inside diameter of the spring is to be 0.6 in. To ensure a reasonable spring size, assume a spring index of 10. The spring is to be used in a machine where it will be repeatedly compressed from a free length of 5 in. to its solid length of 2 in. and then released. The spring should have squared and ground ends and is to be made from a cold-drawn A227 wire. (a) Determine a suitable wire diameter. (b) Determine a suitable total number of coils. (c) Determine the spring rate. (d) Where is the maximum stress in the wire of the spring? (e) Determine the static factor of safety when compressed to its solid length. (f) If the spring is to be designed for infinite life, what will be the mean stress and alternating stress on the spring. (g) Calculate the weight of the spring.

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.