redoubt said:Folks---
I want a reference(textbook or journal article) that presents the mathematical derivation of the following formula for the spring constant k of a coiled, ideal spring.
k=G*d^4/(8*n*D^3)
A Google search was unsuccessful.
When this question was asked in the General Physics Forum several weeks ago, there were 81 views, but no replies. I believe this derivation is a classic in linear elasticity theory, but I can't locate it.
The spring constant, denoted as k, is a measure of the stiffness of a spring. It represents the amount of force required to stretch or compress a spring by a certain distance.
The spring constant k can be derived by dividing the applied force by the resulting displacement. This relationship is expressed as k = F/x, where F is the applied force and x is the displacement.
Yes, the spring constant k can be calculated for all types of springs as long as the material and dimensions of the spring are known. However, the formula for calculating k may vary depending on the type of spring (e.g. compression, tension, torsion).
The spring constant k can be found in the manufacturer's specifications for the spring. It can also be calculated experimentally by measuring the force and displacement of the spring.
Yes, the spring constant k is affected by the length and size of the spring. Generally, a longer or thicker spring will have a higher spring constant compared to a shorter or thinner spring.