b) A test specimen is installed with one of its end screwed to a vertical plate as shown in Figure Q3 (b). A pair of strain gauges connected to a bridge circuit is used to measure the change in length when a downforce F is applied to the free end of the test specimen. The original resistance of the gauges, Rg is 350 2 and both have a gauge factor of 2.2. Gauge in Ro* AR tension R (Ro AR) ,(compression) VEX Vo Gauge in compression (R-AR) Ra-AR (tension) Figure Q3 (b) (i) Determine the change in resistance of the strain gauge if the strain value, o is given as 250 x 106 . (ii) If the ratio between the change in resistance and change in length is given as 0.025 2/mm, determine the length of the test specimen deflection. (iii) Derive the equation for the Wheatstone bridge shown in Figure Q3 (b). If the source voltage, VEx = 12 V, calculate the expected value of Vo. Assume R1 = R2 %3D = RG- 12

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question
(b)
A test specimen is installed with one of its end screwed to a vertical plate as shown in
Figure Q3 (b). A pair of strain gauges connected to a bridge circuit is used to measure
the change in length when a downforce F is applied to the free end of the test specimen.
The original resistance of the gauges, Rg is 350 N and both have a gauge factor of 2.2.
Gauge in
tension
(Ro* AR)
Ro+ AR
„(compression)
VEX
Gauge in
compression
(R-AR)
Ra-AR
(tension)
Figure Q3 (b)
(i)
Determine the change in resistance of the strain gauge if the strain value, o is
given as 250 x 106 .
(ii)
If the ratio between the change in resistance and change in length is given as
0.025 Q/mm, determine the length of the test specimen deflection.
(iii) Derive the equation for the Wheatstone bridge shown in Figure Q3 (b). If the
source voltage, VEX = 12 V, calculate the expected value of Vo. Assume R1 = R2
= RG.
12
Transcribed Image Text:(b) A test specimen is installed with one of its end screwed to a vertical plate as shown in Figure Q3 (b). A pair of strain gauges connected to a bridge circuit is used to measure the change in length when a downforce F is applied to the free end of the test specimen. The original resistance of the gauges, Rg is 350 N and both have a gauge factor of 2.2. Gauge in tension (Ro* AR) Ro+ AR „(compression) VEX Gauge in compression (R-AR) Ra-AR (tension) Figure Q3 (b) (i) Determine the change in resistance of the strain gauge if the strain value, o is given as 250 x 106 . (ii) If the ratio between the change in resistance and change in length is given as 0.025 Q/mm, determine the length of the test specimen deflection. (iii) Derive the equation for the Wheatstone bridge shown in Figure Q3 (b). If the source voltage, VEX = 12 V, calculate the expected value of Vo. Assume R1 = R2 = RG. 12
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