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Force measurement system - relating output voltage to Force - strain gauges

  1. Jan 3, 2013 #1
    1. The problem statement, all variables and given/known data

    I'm struggling with this, I have series of data for the deflection of a cantilever beam and the corresponding output voltages from a strain gauge, wheatstone bridge and amplifier circuit.

    I'm trying to find the relation between voltage output and force, i.e. Force = K x voltage (K = constant) but I don't have the force.

    2. Relevant equations

    Also I've been given the equation for

    Bending moment M = F * Length at gauge

    Stress on top surface of beam σ= d/2 * M/1

    Output voltage = R2/R* Vs* Kg *ε

    Where Kg = guage factor

    3. The attempt at a solution

    I think Force can be found from 3EId /L^3 , where d = deflection, E= youngs modulus, I = 2nd moment of area. But still think I'm missing something.

    I've already found another constant for output voltage = K x deflection, if that is relevant.

    Using 3EI/L^3, I get 5171.3 which can then be multiplied by deflection to give the Force - not sure if this is correct?

    Hoping someone has done a similar experiment before and can help in some way please?
  2. jcsd
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