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Measurement of Thermal
Expansion Coefficient
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(...continued)
The principle of measuring expansion coefficients
with strain gages then becomes evident from the
previous illustration
, since the rotation from one thermal output curve to
the other is due only to the difference in thermal
expansion properties between the materials
represented by the two curves. An algebraic
demonstration of the principle can be obtained by
rewriting Eq. (
513.4
) twice; once for the gage installed on a specimen of
the test material of unknown expansion coefficient
, and again for the same type of gage installed on a
standard reference material with a known expansion
coefficient
:
-
(513.5a)
-
(513.5b)
- Subtracting Eq. (513.5b) from (513.5a), and
rearranging,
-
(513.6)
Thus, the difference in expansion coefficients,
referred to a particular temperature range, is equal
to the unit difference in thermal output for the same
change in temperature. Although this technique for
measuring expansion coefficients is widely
applicable, and often the most practical approach,
there is relatively little information about it in
the technical literature. Representative applications
are described in the bibliography to this publication
(Ref.
4
and
5
).
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