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Chapter 4
Theory of Operation
©
National Instruments Corporation
4-5
NI PXI-4220 User Manual
•
R
4
is the active strain-gauge element measuring tensile strain (+
ε
).
•
V
EX
is the excitation voltage.
•
R
L
is the lead resistance.
•
V
CH
is the measured voltage.
To convert voltage readings to strain units, use the following equation:
where
•
R
g
is the nominal gauge resistance of the sensor.
•
R
L
is the lead resistance.
•
GF
is the gauge factor.
To simulate the effect on strain of applying a shunt resistor across R3,
use the following equation:
The value of the quarter-bridge completion resistor (dummy resistor) must
equal the nominal resistance of the strain gauge. NI recommends using a
0.1% precision resistor. If a less precise resistor is used, offset null
compensation calibration is not as accurate.
To minimize temperature drift errors, the strain gauge should have a
self-temperature-compensation (STC) number that corresponds to the
thermal expansion coefficient of the material under test. STC gauges have
a temperature sensitivity that counteracts the thermal expansion coefficient
of the test specimen. The STC number approximately equals the thermally
induced change in strain with change in temperature and is expressed in
units of microstrain per degree Fahrenheit. For example, if the test
specimen is aluminum, use a gauge with an STC number of 13.0. If the test
specimen is steel, use a gauge with an STC number of 6.0.
To minimize temperature drift errors in the wiring, use the three-wire
connection shown in Figure 2-4,
Quarter-Bridge I Circuit Diagram
.
The wires connected to pins P+ (pin 2) and QTR/SCB (pin 9) carry the
same current and are on opposite sides of the same element of the bridge.
Therefore, any temperature-related changes in voltage drop across
R
L
caused by temperature variation of the leads cancel out, leaving
V
CH
strain
ε
( )
4
–
V
r
GF
1 2
V
r
+
(
)
-------------------------------
1
R
L
Rg
-------
+
×
=
ε
s
4
U
–
GF
1 4
U
+
(
)
------------------------------
=
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