derivation of this equation:

ajd-brown

Equation attached.

For those who cant see the image here it is in text form, k=(Gd^4)/(8D^3 n )

It is the equation for the stiffness of a spring in terms of its dimensions:

G - shear constant
d - wire diameter
D - coil average diameter
n - number of active coils (total coils -2 as the top and bottom coils are not considered active)

I would like to know how to derive this equation as it is a big chunk of my project,

I am doing this as part of a university project, and your derivation will be duly noted/referenced.

Thanks in advance!

Anthony

*Studiot*

Since you are at university, why can you not look this up for yourself in a mechanics of materials text in the library?

For instance page 82 - 83 of

Singer

Strength of Materials

or

Hearn

Mechanics of Materials p299 to 301

ajd-brown

I'll do that now, thank you for the book!

tadchem

This may be helpful:
Deriving the Shear Modulus S From the Spring Constant k
http://faraday.physics.utoronto.ca/P...ngConstant.pdf
As a math student I learned that sometimes the answer is most easily found by working backwards.

ajd-brown

yeah! i found that post very helpful for understanding the concept, jheez, i love this stuff, i wish i could have the time in the day to learn it all, along with everything else i want to do :( anyway! thank you very much! best first post ever i think!

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Studiot	Since you are at university, why can you not look this up for yourself in a mechanics of materials text in the library? For instance page 82 - 83 of Singer Strength of Materials or Hearn Mechanics of Materials p299 to 301

tadchem	derivation of this equation: This may be helpful: Deriving the Shear Modulus S From the Spring Constant k http://faraday.physics.utoronto.ca/P...ngConstant.pdf As a math student I learned that sometimes the answer is most easily found by working backwards.

ajd-brown	yeah! i found that post very helpful for understanding the concept, jheez, i love this stuff, i wish i could have the time in the day to learn it all, along with everything else i want to do :( anyway! thank you very much! best first post ever i think!