In a Wheatstone bridge, leg 1 is an active strain gage of Advance alloy and 120 ohms resistance, leg 4 is a similar dummy gage for temperature compensation, and legs 2 and 3 are fixed 120-ohm resistors. The maximum gage current is to be 0.030 amp. a. What is the maximum permissible d-c bridge excitation voltage? (Use this value in the remaining parts of this problem.) b. If the active gage is on a steel member, what is the bridge output voltage per 1,000 psi of stress? c. If temperature compensation were not used, what bridge output would be caused by the active gage increasing temperature by 100F° if the gage is bonded to steel? What stress value would be represented by this voltage? Thermal-expansion coefficients of steel and Advance alloy are 6.5 X 10-6 and 14.9 X 10-6 in./(in.-F°), respectively. The temperature coefficient of resistance of Advance is 6 X 10-6 ohm/ (ohm-Fº). d. Compute the value of a shunt calibrating resistor that would give the same bridge output as 10,000-psi stress in a steel member.

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In a Wheatstone bridge, leg 1 is an active strain gage of Advance alloy and 120 ohms
resistance, leg 4 is a similar dummy gage for temperature compensation, and legs 2
and 3 are fixed 120-ohm resistors. The maximum gage current is to be 0.030 amp.
a. What is the maximum permissible d-c bridge excitation voltage? (Use this value in
the remaining parts of this problem.)
b. If the active gage is on a steel member, what is the bridge output voltage per 1,000
psi of stress?
c. If temperature compensation were not used, what bridge output would be caused
by the active gage increasing temperature by 100F° if the gage is bonded to steel?
What stress value would be represented by this voltage? Thermal-expansion
coefficients of steel and Advance alloy are 6.5 X 10-6 and 14.9 X 10-6 in./(in.-F°),
respectively. The temperature coefficient of resistance of Advance is 6 X 10-6 ohm/
(ohm-Fº).
d. Compute the value of a shunt calibrating resistor that would give the same bridge
output as 10,000-psi stress in a steel member.
Transcribed Image Text:In a Wheatstone bridge, leg 1 is an active strain gage of Advance alloy and 120 ohms resistance, leg 4 is a similar dummy gage for temperature compensation, and legs 2 and 3 are fixed 120-ohm resistors. The maximum gage current is to be 0.030 amp. a. What is the maximum permissible d-c bridge excitation voltage? (Use this value in the remaining parts of this problem.) b. If the active gage is on a steel member, what is the bridge output voltage per 1,000 psi of stress? c. If temperature compensation were not used, what bridge output would be caused by the active gage increasing temperature by 100F° if the gage is bonded to steel? What stress value would be represented by this voltage? Thermal-expansion coefficients of steel and Advance alloy are 6.5 X 10-6 and 14.9 X 10-6 in./(in.-F°), respectively. The temperature coefficient of resistance of Advance is 6 X 10-6 ohm/ (ohm-Fº). d. Compute the value of a shunt calibrating resistor that would give the same bridge output as 10,000-psi stress in a steel member.
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