Gauge Factor Calculator

Formula

The formula to calculate the gauge factor (GF) is:

\[ GF = \left( \frac{\Delta R}{R} \right) / \epsilon \]

Where:

\( GF \) is the gauge factor.
\( \Delta R \) is the change in resistance.
\( R \) is the original gauge resistance.
\( \epsilon \) is the strain.

Definitions

Gauge Factor (GF): The sensitivity of a strain gauge, defined as the ratio of fractional change in electrical resistance to the fractional change in length (strain).
Change in Resistance (ΔR): The difference in resistance measured before and after strain is applied.
Original Gauge Resistance (R): The initial resistance of the strain gauge before any strain is applied.
Strain (ε): The fractional change in length of the material being measured.

Example

Let's say the change in resistance is 0.5 ohms, the original gauge resistance is 120 ohms, and the strain is 0.002. Using the formula:

\[ GF = \left( \frac{0.5}{120} \right) / 0.002 \]

We get:

\[ GF = 2.08 \]

So, the gauge factor (\( GF \)) is 2.08.

Extended information about "Gauge-Factor-Calculator"

Gauge Factor

Definition: The gauge factor is a measure of the sensitivity of a strain gauge, defined as the ratio of relative change in electrical resistance to the mechanical strain.

Formula: \( GF = \frac{\Delta R / R}{\epsilon} \)

GF: Gauge factor
\( \Delta R \): Change in resistance
R: Original resistance
\( \epsilon \): Strain

Example: \( GF = \frac{0.002 / 120}{0.001} \)

GF: Gauge factor
\( \Delta R \): 0.002 ohms
R: 120 ohms
\( \epsilon \): 0.001

Derivation of Gauge Factor

Definition: The derivation of the gauge factor involves understanding the relationship between the change in resistance and the strain applied to the material.

Formula: \( GF = 1 + 2\mu + \frac{\Delta \rho / \rho}{\epsilon} \)

GF: Gauge factor
\( \mu \): Poisson's ratio
\( \Delta \rho \): Change in resistivity
\( \rho \): Original resistivity
\( \epsilon \): Strain

Example: \( GF = 1 + 2 \times 0.3 + \frac{0.001 / 1.5}{0.001} \)

GF: Gauge factor
\( \mu \): 0.3
\( \Delta \rho \): 0.001 ohm·m
\( \rho \): 1.5 ohm·m
\( \epsilon \): 0.001

How to Calculate Gauge Size

Definition: Calculating the gauge size involves determining the thickness of a material, often used in reference to wires or sheets.

Formula: \( \text{Gauge Size} = \frac{1}{\text{Thickness}} \)

Gauge Size: The size of the gauge
Thickness: The thickness of the material (inches)

Example: \( \text{Gauge Size} = \frac{1}{0.05} \)

Gauge Size: The size of the gauge
Thickness: 0.05 inches