Strain gauges · Measurement

Shunt calibration: shunt resistor for a defined bridge signal

Calculate the shunt resistor R_N for a desired calibration signal (exact and per the approximation eq. 8.7) and the strain it simulates.

DMSKeil 2017
01

Inputs

Applies to the balanced bridge with constant excitation; lead resistance between shunt and arm alters the signal slightly at DC and considerably at high carrier frequency.

02

Results

Enter values and run the calculation.

Method

What is calculated?

A high-value resistor across one arm lowers its resistance and unbalances the balanced bridge reproducibly – the whole measuring chain can be checked without mechanical load. Keil's example: 0.5 mV/V on a 120 Ω bridge needs a 60 kΩ shunt per eq. 8.7; exactly 59.94 kΩ.

Equations

R_K = R_N·R/(R_N+R) (Keil Gl. 8.1)

U_M = ½U_B·R/(2R_N+R) (Keil Gl. 8.5)

U_M/U_B ≈ R/(4R_N) ⇒ R_N = U_B·R/(4U_M) (Keil Gl. 8.6, 8.7)

ε_sim = −4·(U_M/U_B)/k

Procedure

Step by step

  1. Enter the arm resistance and the desired calibration signal (e.g. transducer rated output).
  2. Pick the closest E-series resistor to the exact value and back-calculate the actual signal.
  3. Switch the shunt in at the transducer where possible; mind capacitive cable asymmetry at 5 kHz carrier frequency.

Typical mistake

Placing the shunt across the whole half bridge instead of one arm, or interpreting the negative sign of the simulated signal as a fault.

Practice

Application and limits

Checking and reproducing the calibration of force transducers and load cells in situ, function checks of remote measuring points, scaling of data-acquisition systems.

Applies to the balanced bridge with constant excitation; lead resistance between shunt and arm alters the signal slightly at DC and considerably at high carrier frequency.

Source

Technical basis

Keil, Dehnungsmessstreifen, 2nd ed. 2017, sec. 8.7.3 shunt calibration, eqs. (8.1)–(8.7), fig. 8.7.

The source supports the equation structure and worked examples; this calculator does not replace calibration of the measuring chain.

FAQ

Frequently asked questions

Does the shunt replace a force calibration?

No, it only reproduces an electrical signal; the signal ↔ quantity relation must be established once with a reference standard.

Why a negative signal?

The parallel resistor reduces the arm resistance like a compression of the gauge.

What accuracy does the shunt need?

At least the target calibration accuracy, typically 0.01 to 0.1 %, with a low temperature coefficient.