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Correcting Strain Measurements for Gage
Factor Variation with Temperature
The standard procedure for measuring the gage
factor of a lot of any particular type of strain
gage is performed at room temperature. It is this
value of the gage factor, along with its tolerance,
which is given on the technical data sheet in each
package of Micro-Measurements strain gages. Thus,
at any temperature other than room temperature the
gage factor is different, and a correction may be
needed, according to the circumstances. Also given
on each data sheet is the applicable graph of gage
factor variation with temperature, such as those in
Figs.7
and
8
. This information is all that is required to make
the correction.
In general, any strain measurement data can be
corrected (or adjusted) from one gage factor to
another with a very simple relationship. Assume,
for instance, that a strain,
, was registered with the gage factor setting of
the strain indicator at
, and it is desired to correct the data to a gage
factor of
. The corrected strain,
, is calculated from:
Eq.(504.9)
When correcting for gage factor variation with
temperature,
can be taken as the package-data room-temperature
gage factor at which the strain indicator may have
been set, and
the gage factor at the test temperature. Of
course, when the test temperature is known with
reasonable accuracy in advance, the gage factor
control of the strain indicator can be set at
, initially, and no correction is necessary. It
should be noted in this case, however, that if
thermal output corrections are to be made from the
graph (or polynomial equation) on the technical
data sheet in the gage package, the thermal output
data must be adjusted from a gage factor of 2.0 (at
which the thermal output was measured) to the test
temperature gage factor,
, being used for strain measurement.
The following relationship is used to determine
the gage factor at the test temperature from the
tabular and graphical data supplied in the gage
package:
Eq.(504.10)
where:
= percent variation in gage factor with
temperature as shown in Figs. 7 and 8.
(
Note
: The sign of the variation must always be
included.)
As a numerical example, using Eqs. (504.9) and
(504.10), assume that the room-temperature gage
factor of a 13 S-T-C, K-alloy gage is 2.05 and,
with the instrument set at this value, the strain
indication at +450° F (+230° C) is 1820
microstrain. Referring to
Fig. 8
,
for this case is -3, and, from Eq. (504.10),
Substituting into Eq. (504.9),
Since gage factor variation with temperature
affects both the thermal output and the
stress-induced strain, and because confusion may
arise in making the corrections individually and
then combining them, the following section gives
equations for performing both corrections
simultaneously.
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