
Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN: 9781337399128
Author: Russell E. Smith
Publisher: Cengage Learning
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Transcribed Image Text:On a thin-walled tank, internally pressurized cylinders p with wall thickness
t and average radius r, two strain gauges are installed according to the figure in
such a way that longitudinal strain gauge (1) and peripheral strain gauge (2) are
installed on the tank. Are. Strain gauges are both similar to the Gage factor G
and have an electrical resistance of Ro at zero strain. The modulus of elasticity
of the tank is E and its Poisson's ratio is v. Two strain gauges are mounted on
two branches of one Watson bridge and two resistors R3 and R4 with similar
resistance and constant R on the other two branches of the bridge (as shown in
Figure 3). Longitudinal (o1) and peripheral stresses (o) in a reservoir can be
calculated from the following equations:
pr
2t
pr
t
It is desirable to calculate the relationship between the internal pressure of the
tank p and the output voltage of the Watson bridge vo.
2
Vo
R3
R.
Vs
Figure 1: Thin-walled cylindrical tank under internal pressure p and
corresponding Watson bridge circuit
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