A single strain gauge with GF = 2.03 and R3500 is used in the Whetstones bridge circuits. The bridge resistors are R₁ = R2=350 Q. If a tensile stress of 290 MPa is applied on a steel specimen having Poisson ratio of 0.3, find the change in bridge 10 V. If the gage is mounted on a specimen made of steel and having young modulus of 200 GPa and having width of 2 m and hight of 50 cm. The lateral sensitivity of the strain gage is 0.2 and Poisson ratio of 0.285. Calculate the sensitivity of the bridge, force acting on the specimen and error in your reading. output voltage if V L R = PA dp S₁ = ρ + (1 + 2v) Ea SA= dR R = Ea Req R₁+ R₂+ R3 1 Req 1 1 = + R₁ R2 E+AE= + 1 R3 R₁ + AR₁ R₁ + AR₁ + R₂+ AR₂ V r SQV (1+r)² r AR1 AR2 AR3 ARA ΔΕ = V + (1+r)² R1 R2 R3 R4 r Sc = V Sc= = (1+r)²nsg PgRg r (1+r) K₁₂(εL/εa+po) eL= Sg = max Em 1+3 2 1-op min = 2 1-0 Tmax = Em + 1 1+Op 1 1+% 2(1+p) √√(13)² + [22 (ε₁ + ε3)]² - √√(ε₁ - ε3)² + [22 − (ε₁ + ε3)]²
A single strain gauge with GF = 2.03 and R3500 is used in the Whetstones bridge circuits. The bridge resistors are R₁ = R2=350 Q. If a tensile stress of 290 MPa is applied on a steel specimen having Poisson ratio of 0.3, find the change in bridge 10 V. If the gage is mounted on a specimen made of steel and having young modulus of 200 GPa and having width of 2 m and hight of 50 cm. The lateral sensitivity of the strain gage is 0.2 and Poisson ratio of 0.285. Calculate the sensitivity of the bridge, force acting on the specimen and error in your reading. output voltage if V L R = PA dp S₁ = ρ + (1 + 2v) Ea SA= dR R = Ea Req R₁+ R₂+ R3 1 Req 1 1 = + R₁ R2 E+AE= + 1 R3 R₁ + AR₁ R₁ + AR₁ + R₂+ AR₂ V r SQV (1+r)² r AR1 AR2 AR3 ARA ΔΕ = V + (1+r)² R1 R2 R3 R4 r Sc = V Sc= = (1+r)²nsg PgRg r (1+r) K₁₂(εL/εa+po) eL= Sg = max Em 1+3 2 1-op min = 2 1-0 Tmax = Em + 1 1+Op 1 1+% 2(1+p) √√(13)² + [22 (ε₁ + ε3)]² - √√(ε₁ - ε3)² + [22 − (ε₁ + ε3)]²
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:A single strain gauge with GF = 2.03 and R3500 is used in the Whetstones bridge circuits. The bridge resistors are R₁ =
R2=350 Q. If a tensile stress of 290 MPa is applied on a steel specimen having Poisson ratio of 0.3, find the change in bridge
10 V. If the gage is mounted on a specimen made of steel and having young modulus of 200 GPa and
having width of 2 m and hight of 50 cm. The lateral sensitivity of the strain gage is 0.2 and Poisson ratio of 0.285. Calculate the
sensitivity of the bridge, force acting on the specimen and error in your reading.
output voltage if V
![L
R = PA
dp
S₁ =
ρ
+ (1 + 2v)
Ea
SA=
dR
R
=
Ea
Req R₁+ R₂+ R3
1
Req
1 1
= +
R₁ R2
E+AE=
+
1
R3
R₁ + AR₁
R₁ + AR₁ + R₂+ AR₂
V
r
SQV
(1+r)²
r AR1 AR2
AR3
ARA
ΔΕ = V
+
(1+r)² R1
R2
R3
R4
r
Sc
= V
Sc=
=
(1+r)²nsg
PgRg
r
(1+r)
K₁₂(εL/εa+po)
eL=
Sg
=
max
Em 1+3
2 1-op
min
=
2
1-0
Tmax
=
Em
+
1
1+Op
1
1+%
2(1+p)
√√(13)² + [22 (ε₁ + ε3)]²
-
√√(ε₁ - ε3)² + [22 − (ε₁ + ε3)]²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F832f68bd-fffc-4a3b-95a1-894aa4f4dcd8%2F412dcb50-065c-44f9-98c0-a99684b28aa6%2F96vvwqa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:L
R = PA
dp
S₁ =
ρ
+ (1 + 2v)
Ea
SA=
dR
R
=
Ea
Req R₁+ R₂+ R3
1
Req
1 1
= +
R₁ R2
E+AE=
+
1
R3
R₁ + AR₁
R₁ + AR₁ + R₂+ AR₂
V
r
SQV
(1+r)²
r AR1 AR2
AR3
ARA
ΔΕ = V
+
(1+r)² R1
R2
R3
R4
r
Sc
= V
Sc=
=
(1+r)²nsg
PgRg
r
(1+r)
K₁₂(εL/εa+po)
eL=
Sg
=
max
Em 1+3
2 1-op
min
=
2
1-0
Tmax
=
Em
+
1
1+Op
1
1+%
2(1+p)
√√(13)² + [22 (ε₁ + ε3)]²
-
√√(ε₁ - ε3)² + [22 − (ε₁ + ε3)]²
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