This is a beginner question, but please answer it.
Why does the amount of deflection increase (as a result, the spring constant decreases) as the number of coils of the spring and the average diameter (effective diameter) increase? I can understand the reason by looking at the deflection formula and the spring constant formula, but it is still not completely clear to me. As the number of turns increases, the force applied to the number of active coils is dispersed, and as a result, I think that that the deflection should be reduced (although it is not the case).
I hope you can help me to answer this question.
Thank you for writing to us!
The number of active coils (Na) is the basic information when calculating the spring constant. As the value of this number increases, the value decreases in the spring constant’s calculation formula. It is difficult to explain, but …
For example, there are 2 springs, one with many active coils and one with few active coils, and imagine we extend the springs into 2 straight lines, and fix one end of these rods. If you apply force to the one end side of the rods, the long one (originally was the spring with more active coils) will bend more with less force, and the short rod will not bend unless you apply a relatively large force.
I hope this helps you understand!
