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Half-Bridge Circuit
Axial Loading
When measuring the maximum principal strain in a
known uniaxial stress state, a simple means for
assuring effective temperature compensation is to
mount a second gage adjacent and perpendicular to the
primary gage, and connect the two gages in a
half-bridge circuit as shown below. Such an
arrangement is said to have
active gages, since the bridge output is increased
by that factor. The circuit behavior is nonlinear,
however, because the resistance changes in the two
active gages are not equal and opposite.
Uniform uniaxial stress
:

= 1+
It is assumed in the following that
in the circuit above represents the primary gage,
and that the object is to scale the instrument to
register the test-surface strain under that gage.
Whether shunting
, to simulate compression in the primary gage, or
shunting
to simulate tension, the nonlinearity during scaling
is different from that during actual strain
measurement. Thus, two different shunt-calibration
relationships are required for precise strain
simulation, as in the case of the quarter-bridge
circuit. These relationships are developed in the
same manner as before; that is, by enforcing the
condition that the bridge output voltage be
identical, whether scaling to a simulated strain
level or measuring the same surface strain with the
primary gage.
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