App-59
IM 701210-06E
Appendix
App
Calculation Example
• When Determining the Corresponding Shunt Resistance (Rs) from the Strain (ε)
Given a gauge factor (K) of 2,
Detailed equation Rs = R×(1–ε)/(2×ε) (6)
(equation B)
General equation Rs = R×(1–2×ε)/(2×ε) (7): Error of 1 to 2% present
(equation A)
Desired Strain Derived by the Detailed Equation (6) Rs value (Ω) Derived by the
ε (µSTR) Rs Value (Ω) General Equation (7)
R=120 Ω R=350 Ω R=120 Ω R=350 Ω
1,000 59,940 174,825 59,880 174,650
2,000 29,940 87,325 29,880 87,150
5,000 11,940 34,825 11,880 34,650
10,000 5,940 17,325 5,880 17,150
• When Determining the Corresponding Strain (ε) from the Shunt Resistance (Rs)
If we derive e from equation (6) and (7),
Detailed equation ε = 1/(1+2×Rs/R) (8)
(equation B)
General equation ε = 1/{2×(1+Rs/R)} (9): Error of 1 to 2% present
(equation A)
When the Bridge Resistance R is 120 Ω
RS Value (Ω) Strain ε (µSTR) Derived by Strain ε (µSTR) Derived by
the Detailed Equation (8) the General Equation (9)
60,000 999 998
30,000 1,996 1,992
12,000 4,975 4,950
6,000 9,901 9,804
When the Bridge Resistance R is 350 W
RS Value (Ω) Strain ε (µSTR) Derived by Strain ε (µSTR) Derived by
the Detailed Equation (8) the General Equation (9)
180,000 971 970
90,000 1,941 1,937
36,000 4,838 4,814
18,000 9,629 9,537
Appendix 11 Shunt Calibration of the Strain Module
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