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Gage Factor Variation With Temperature
The alloys used in resistance strain gages
typically exhibit a change in gage factor with
temperature. In some cases, the error due to this
effect is small and can be ignored. In others,
depending upon the alloy involved, the test
temperature, and the required accuracy in strain
measurement, correction for the gage factor variation
may be necessary.
Fig. 7 - Gage factor variation with temperature
for constantan (A-alloy) and isoelastic (D-alloy)
strain gages.
Figure 7 shows the variation of gage factor with
temperature for constantan and isoelastic
(Micro-Measurements
A
and
D
alloys, respectively). It can be seen from the graph
that the effect in the A alloy is essentially linear,
and quite small at any temperature, typically being
in the order of 1% or less per 100° F (2% or
less per 100° C). Thus, for a temperature range
of, say,
+
100° F (
+
50° C), about room temperature, correction may
not be necessary. At more extreme temperatures, when
justified by accuracy requirements, the correction
can be made separately, or combined with the thermal
output correction.
The variation of gage factor in the D alloy, while
very modest and flat between room temperature and
+200° F (+90° C), steepens noticeably
outside of this range. However, even for temperatures
where the gage factor deviation is several percent,
correction may not be practical. This is because D
alloy is used primarily for purely dynamic strain
measurement, under which conditions other errors in
the measurement system may greatly overshadow the
gage factor effect.
Fig. 8 - Variation of K-alloy gage factor with
temperature and S-T-C number.
As shown above, the gage factor variation with
temperature for modified Karma (
K alloy
) is distinctly different from that of the A and D
alloys. The gage factor variation is nearly linear
with temperature, as it is for A alloy, but the slope
is negative and is a function of the S-T-C number,
becoming steeper with higher numbers.
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