AME Unit 9 Q13 – Answer

Unmasking the Mystery of Strain Gauges: Sensing Forces on Your Vessel

(a) Principle and Operation of a Simple Strain Gauge:

Imagine a thin, metallic wire or foil bonded to the surface of an object that experiences stress (force per unit area). This is the essence of a simple strain gauge, a sensor that translates mechanical deformation into a change in electrical properties. Let’s explore its principle and operation with the help of a sketch:

Sketch:

  1. Object Under Stress: The object experiencing force or pressure (shown in blue) can be anything from a vessel’s hull to a bearing in its engine.
  2. Gauge Element: The thin metallic wire or foil (green) is tightly bonded to the object’s surface.
  3. Stress Application: When the object undergoes stress, it stretches or compresses, affecting the gauge element.
  4. Resistance Change: This deformation changes the length and cross-sectional area of the gauge element, ultimately altering its electrical resistance.
  5. Output Signal: This change in resistance is measured by an external circuit, providing an electrical signal proportional to the applied stress.

Formula for Change in Resistance:

The relative change in resistance (ΔR/R) of a strain gauge can be estimated using the equation:

ΔR/R = GF * ε

where:

  • ΔR/R is the relative change in resistance.
  • G is the gauge factor, a material-specific constant relating resistance change to strain.
  • ε is the strain experienced by the gauge element (change in length divided by original length).

(b) Connecting the Strain Gauge for Pressure Measurement:

While strain gauges directly measure strain, converting it to pressure requires proper circuit configuration. Here’s a simple method:

  1. Wheatstone Bridge: Connect the strain gauge as one arm of a Wheatstone bridge circuit, alongside three fixed resistors.
  2. Voltage Source: Apply a constant voltage across the bridge.
  3. Balanced Bridge: Initially, with no stress on the gauge, the bridge is balanced, and no current flows through the output.
  4. Stress Application: As the object experiences pressure, the gauge’s resistance changes, unbalancing the bridge and causing a current to flow through the output.
  5. Pressure Measurement: The magnitude of the output current is proportional to the applied pressure and can be calibrated to provide accurate pressure readings.

(c) Applications in a Vessel:

Strain gauges find various practical uses on vessels:

  1. Hull Stress Monitoring: Gauges placed on critical hull sections measure pressure variations and deformations, identifying potential structural issues before they become critical.
  2. Engine Monitoring: Gauges on engine components like bearings and cylinders track mechanical forces, allowing for predictive maintenance and preventing failures.

Remember, strain gauges offer sensitive and versatile sensors for detecting pressure and stress changes in various onboard applications. Understanding their operation and proper circuit integration is crucial for reliable and accurate measurements that contribute to the safety and performance of your vessel.