How much force does it take to bend a wire?
Given a piece of music wire of gauge Z, and length X, with both ends clamped (e.g. one end to a fixed plane, and the other to a translating, but not rotating, body), how much force will it take to translate the body by a distance Y? How does this change if the wire is replaced with a strip of brass of guage Z, and width W?
The basic equation for the calculation the deflection is Euler-Bernoulli beam equation [1].
More complete equations for this application are shown on [2] the engineersedge.com.
In this case use the moment of Inertial for the circular wire or the moment of inertia for the rectangular wire as required.
Niel
