12.1.11

Strain Gauges

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Strain Gauges

Strain gauges are used to measure the strain of different materials by measuring changes in their resistance.

Structure

Structure

  • A strain gauge consists of a thin metal wire that is sealed into a thin layer by a flexible, insulating material.
  • The strain gauge is then connected to a circuit in order to make measurements.
Measurements

Measurements

  • The voltage and current of the circuit are measured both when the strain gauge is stretched and unstretched.
  • The change in resistance of the strain gauge is then given by the equation:
    • ΔR=ρΔLA\Delta R = \frac{\large \rho\Delta L}{\large A}
  • Where LL is the change in length of the wire, ρ\rho is the resistivity of the material and AA is the cross-sectional area of the wire.
  • The change in cross-sectional area as the strain gauge (and wire) is stretched is assumed to be constant.
Strain

Strain

  • Recall that the strain is given by the equation:
    • strain=ΔLL\text{strain}= \frac{\Delta L}{L}
  • So the change in resistance of the strain gauge is proportional to the strain.
    • ΔRstrain\Delta R \propto \text{strain}
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