Calculating Sensitivity in Strain Gauges: a Step-by-step Approach

Calculating the sensitivity of a strain gauge is essential for accurate measurement of strain in materials. Sensitivity indicates how much the output signal changes in response to a given strain. This article provides a clear, step-by-step approach to determine the sensitivity of a strain gauge.

Understanding Strain Gauge Sensitivity

Strain gauge sensitivity is often expressed as the gauge factor (GF). The GF relates the change in electrical resistance to the strain experienced by the material. It is a dimensionless number that helps in calibrating measurements accurately.

Step 1: Prepare the Setup

Ensure the strain gauge is properly attached to the test specimen. Connect the gauge to a Wheatstone bridge circuit for precise resistance measurement. Calibrate the measurement device to ensure accuracy before testing.

Step 2: Apply Known Strain

Apply a known and controlled strain to the specimen. This can be done using a mechanical testing machine or a controlled load. Record the exact strain value, typically expressed in microstrain (με).

Step 3: Measure Resistance Change

Measure the change in electrical resistance of the strain gauge during the applied strain. Record the initial resistance (R0) and the resistance under strain (R). Calculate the change in resistance (ΔR = R – R0).

Step 4: Calculate the Gauge Factor

The gauge factor is calculated using the formula:

GF = (ΔR / R0) / ε

Where:

  • ΔR = change in resistance
  • R0 = initial resistance
  • ε = applied strain

Step 5: Interpret Results

The calculated GF indicates the sensitivity of the strain gauge. Typical values range from 2 to 5 for metallic gauges. Use this value for calibration and accurate strain measurement in future tests.