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A simple electrical strain gauge of resistance 120Ω and having a gauge factor 2 is bond to steel having an elastic limit stress of 400MN/m 2 and modulus of elasticity is 200G N/m. Calculate the change in resistance. (a) Due to a change in stress equal to 1/10 of the elastic range; (b) Due to change of the temperature of 20 0 C if the material is advance alloy. The resistance temperature coefficient of advance alloy is 20X 10 -6 / 0 C.?
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A simple electrical strain gauge of resistance 120Ω and having a gauge...
Calculation of Change in Resistance of a Simple Electrical Strain Gauge
Given data:
Resistance of strain gauge, R = 120Ω
Gauge factor, GF = 2
Elastic limit stress of steel, σe = 400MN/m^2
Modulus of elasticity of steel, E = 200GN/m^2
Change in stress, Δσ = σe/10 = 40MN/m^2
Change in temperature, ΔT = 20°C
Resistance temperature coefficient of advance alloy, α = 20×10^-6/°C
(a) Change in Resistance due to Change in Stress
Formula:
ΔR/R = GF×Δσ/E
Substituting the values, we get:
ΔR/R = 2×40×10^6/(200×10^9)
ΔR/R = 4×10^-4
Therefore, the change in resistance due to a change in stress equal to 1/10 of the elastic range is 4×10^-4×120 = 0.048Ω
(b) Change in Resistance due to Change in Temperature
Formula:
ΔR/R = α×ΔT
Substituting the values, we get:
ΔR/R = 20×10^-6×20
ΔR/R = 4×10^-4
Therefore, the change in resistance due to a change in temperature of 20°C is 4×10^-4×120 = 0.048Ω
Explanation of Resistance Temperature Coefficient
The resistance temperature coefficient (α) is a measure of how much the resistance of a material changes with temperature. It is defined as the fractional change in resistance per degree Celsius of temperature change. In other words, it tells us how sensitive a material is to changes in temperature.
Advance alloy has a resistance temperature coefficient of 20×10^-6/°C, which means that its resistance changes by 20 parts per million for every degree Celsius of temperature change. This value is important to consider when using advance alloy in applications where temperature changes are expected, as it can affect the accuracy and reliability of the measurements taken with the material.
Given data:
Resistance of strain gauge, R = 120Ω
Gauge factor, GF = 2
Elastic limit stress of steel, σe = 400MN/m^2
Modulus of elasticity of steel, E = 200GN/m^2
Change in stress, Δσ = σe/10 = 40MN/m^2
Change in temperature, ΔT = 20°C
Resistance temperature coefficient of advance alloy, α = 20×10^-6/°C
(a) Change in Resistance due to Change in Stress
Formula:
ΔR/R = GF×Δσ/E
Substituting the values, we get:
ΔR/R = 2×40×10^6/(200×10^9)
ΔR/R = 4×10^-4
Therefore, the change in resistance due to a change in stress equal to 1/10 of the elastic range is 4×10^-4×120 = 0.048Ω
(b) Change in Resistance due to Change in Temperature
Formula:
ΔR/R = α×ΔT
Substituting the values, we get:
ΔR/R = 20×10^-6×20
ΔR/R = 4×10^-4
Therefore, the change in resistance due to a change in temperature of 20°C is 4×10^-4×120 = 0.048Ω
Explanation of Resistance Temperature Coefficient
The resistance temperature coefficient (α) is a measure of how much the resistance of a material changes with temperature. It is defined as the fractional change in resistance per degree Celsius of temperature change. In other words, it tells us how sensitive a material is to changes in temperature.
Advance alloy has a resistance temperature coefficient of 20×10^-6/°C, which means that its resistance changes by 20 parts per million for every degree Celsius of temperature change. This value is important to consider when using advance alloy in applications where temperature changes are expected, as it can affect the accuracy and reliability of the measurements taken with the material.
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A simple electrical strain gauge of resistance 120Ω and having a gauge factor 2 is bond to steel having an elastic limit stress of 400MN/m 2 and modulus of elasticity is 200G N/m. Calculate the change in resistance. (a) Due to a change in stress equal to 1/10 of the elastic range; (b) Due to change of the temperature of 20 0 C if the material is advance alloy. The resistance temperature coefficient of advance alloy is 20X 10 -6 / 0 C.?
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A simple electrical strain gauge of resistance 120Ω and having a gauge factor 2 is bond to steel having an elastic limit stress of 400MN/m 2 and modulus of elasticity is 200G N/m. Calculate the change in resistance. (a) Due to a change in stress equal to 1/10 of the elastic range; (b) Due to change of the temperature of 20 0 C if the material is advance alloy. The resistance temperature coefficient of advance alloy is 20X 10 -6 / 0 C.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A simple electrical strain gauge of resistance 120Ω and having a gauge factor 2 is bond to steel having an elastic limit stress of 400MN/m 2 and modulus of elasticity is 200G N/m. Calculate the change in resistance. (a) Due to a change in stress equal to 1/10 of the elastic range; (b) Due to change of the temperature of 20 0 C if the material is advance alloy. The resistance temperature coefficient of advance alloy is 20X 10 -6 / 0 C.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A simple electrical strain gauge of resistance 120Ω and having a gauge factor 2 is bond to steel having an elastic limit stress of 400MN/m 2 and modulus of elasticity is 200G N/m. Calculate the change in resistance. (a) Due to a change in stress equal to 1/10 of the elastic range; (b) Due to change of the temperature of 20 0 C if the material is advance alloy. The resistance temperature coefficient of advance alloy is 20X 10 -6 / 0 C.?.
A simple electrical strain gauge of resistance 120Ω and having a gauge factor 2 is bond to steel having an elastic limit stress of 400MN/m 2 and modulus of elasticity is 200G N/m. Calculate the change in resistance. (a) Due to a change in stress equal to 1/10 of the elastic range; (b) Due to change of the temperature of 20 0 C if the material is advance alloy. The resistance temperature coefficient of advance alloy is 20X 10 -6 / 0 C.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A simple electrical strain gauge of resistance 120Ω and having a gauge factor 2 is bond to steel having an elastic limit stress of 400MN/m 2 and modulus of elasticity is 200G N/m. Calculate the change in resistance. (a) Due to a change in stress equal to 1/10 of the elastic range; (b) Due to change of the temperature of 20 0 C if the material is advance alloy. The resistance temperature coefficient of advance alloy is 20X 10 -6 / 0 C.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A simple electrical strain gauge of resistance 120Ω and having a gauge factor 2 is bond to steel having an elastic limit stress of 400MN/m 2 and modulus of elasticity is 200G N/m. Calculate the change in resistance. (a) Due to a change in stress equal to 1/10 of the elastic range; (b) Due to change of the temperature of 20 0 C if the material is advance alloy. The resistance temperature coefficient of advance alloy is 20X 10 -6 / 0 C.?.
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A simple electrical strain gauge of resistance 120Ω and having a gauge factor 2 is bond to steel having an elastic limit stress of 400MN/m 2 and modulus of elasticity is 200G N/m. Calculate the change in resistance. (a) Due to a change in stress equal to 1/10 of the elastic range; (b) Due to change of the temperature of 20 0 C if the material is advance alloy. The resistance temperature coefficient of advance alloy is 20X 10 -6 / 0 C.?, a detailed solution for A simple electrical strain gauge of resistance 120Ω and having a gauge factor 2 is bond to steel having an elastic limit stress of 400MN/m 2 and modulus of elasticity is 200G N/m. Calculate the change in resistance. (a) Due to a change in stress equal to 1/10 of the elastic range; (b) Due to change of the temperature of 20 0 C if the material is advance alloy. The resistance temperature coefficient of advance alloy is 20X 10 -6 / 0 C.? has been provided alongside types of A simple electrical strain gauge of resistance 120Ω and having a gauge factor 2 is bond to steel having an elastic limit stress of 400MN/m 2 and modulus of elasticity is 200G N/m. Calculate the change in resistance. (a) Due to a change in stress equal to 1/10 of the elastic range; (b) Due to change of the temperature of 20 0 C if the material is advance alloy. The resistance temperature coefficient of advance alloy is 20X 10 -6 / 0 C.? theory, EduRev gives you an
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