The discussion revolves around the search for references that provide the mathematical derivation of the spring constant k for a coiled, ideal spring, specifically the formula k = G*d^4/(8*n*D^3). Participants express difficulty in locating such references and discuss the relevance of this derivation in the context of linear elasticity theory.
Participants generally agree on the need for a reference for the derivation, but there is no consensus on where to find it, and multiple suggestions are offered without resolution.
Limitations include the lack of specific sources provided for the derivation, and the discussion does not resolve the uncertainty regarding the availability of a clear derivation in existing literature.
Readers interested in linear elasticity theory, mechanical design, or those seeking references for the mathematical derivation of spring constants may find this discussion relevant.
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.