A steel bar with modulus of elasticity 200 GPa and diameter 10 mm is loaded in tension with an axial load of 50 kN. If a strain gage of gage factor 2.115 and resistance 120 2 is mounted on the bar in the axial direction, what is the change in resistance of the gage from the unloaded state to the strained state? If the strain gage is placed in one branch of a Wheatstone bridge (R1) with the other three legs having the same base resistance (R2=R3-R4=120 2), what is the output voltage of the bridge (Vout) in the strained state, as a function of the excitation voltage? What is the stress in the bar? Hint: P A = σ = ε = - = Ve R₁ R₂ ex R₁+ R4 R₂+R3 E BE AR = ЄFGR

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A steel bar with modulus of elasticity 200 GPa and diameter 10 mm is loaded in tension
with an axial load of 50 kN. If a strain gage of gage factor 2.115 and resistance 120 2 is
mounted on the bar in the axial direction, what is the change in resistance of the gage
from the unloaded state to the strained state? If the strain gage is placed in one branch of
a Wheatstone bridge (R1) with the other three legs having the same base resistance
(R2=R3-R4=120 2), what is the output voltage of the bridge (Vout) in the strained state,
as a function of the excitation voltage? What is the stress in the bar?
Hint:
P
A =
σ =
ε =
-
=
Ve
R₁
R₂
ex R₁+ R4 R₂+R3
E
BE
AR =
ЄFGR
Transcribed Image Text:A steel bar with modulus of elasticity 200 GPa and diameter 10 mm is loaded in tension with an axial load of 50 kN. If a strain gage of gage factor 2.115 and resistance 120 2 is mounted on the bar in the axial direction, what is the change in resistance of the gage from the unloaded state to the strained state? If the strain gage is placed in one branch of a Wheatstone bridge (R1) with the other three legs having the same base resistance (R2=R3-R4=120 2), what is the output voltage of the bridge (Vout) in the strained state, as a function of the excitation voltage? What is the stress in the bar? Hint: P A = σ = ε = - = Ve R₁ R₂ ex R₁+ R4 R₂+R3 E BE AR = ЄFGR
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