The relationship between the moment and curvature

[Chuck88]

I want to know why the moment could be represented as the product of the bending stiffness and the curvature. I do not quite understand the function of the curvature in the formula.

http://en.wikipedia.org/wiki/Curvature

 

[Curl]

Because high curvature means you deformed the material more, which means you are applying a large moment. See Euler's beam formulas

 

[Chuck88]

Because high curvature means you deformed the material more, which means you are applying a large moment. See Euler's beam formulas

Sorry that I did not make it clear. I want to know the steps of the derivation for the correlation between the curvature and bending stiffness.

 

[Curl]

http://en.wikipedia.org/wiki/Euler–Bernoulli_beam_theory