Basic force sensor. The ceiling of a large building is supported by 16 vertical steel tubes, each with an inner diameter of 100 mm and an outer diameter of 140 mm. Each tube is equipped with a 240 2 strain gauge (nominal, unstressed resistance at 20°C), prestressed to 2.5% strain. The Young's modulus for steel is 200 GPa. The strain gauge has a gauge factor of 2.2. a. If the maximum strain measured is 2% in each tube, what is the maximum weight of the roof? b. What is the change in the resistance of the strain gauge and what is the actual resistance reading for maximum allowable weight? c. If the expected temperature range is 0°C-50°C, what is the error in reading of the maximum weight, assuming the sensor is not temperature compensated and it is made of constantan?

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Basic force sensor. The ceiling of a large building is supported by 16 vertical
steel tubes, each with an inner diameter of 100 mm and an outer diameter of
140 mm. Each tube is equipped with a 240 2 strain gauge (nominal, unstressed
resistance at 20°C), prestressed to 2.5% strain. The Young's modulus for steel is
200 GPa. The strain gauge has a gauge factor of 2.2.
6.6
a. If the maximum strain mneasured is 2% in each tube, what is the maximum
weight of the roof?
b. What is the change in the resistance of the strain gauge and what is the actual
resistance reading for maximum allowable weight?
C. If the expected temperature range is 0°C-50°C, what is the error in reading of
the maximum weight, assuming the sensor is not temperature compensated
and it is made of constantan?
Transcribed Image Text:Basic force sensor. The ceiling of a large building is supported by 16 vertical steel tubes, each with an inner diameter of 100 mm and an outer diameter of 140 mm. Each tube is equipped with a 240 2 strain gauge (nominal, unstressed resistance at 20°C), prestressed to 2.5% strain. The Young's modulus for steel is 200 GPa. The strain gauge has a gauge factor of 2.2. 6.6 a. If the maximum strain mneasured is 2% in each tube, what is the maximum weight of the roof? b. What is the change in the resistance of the strain gauge and what is the actual resistance reading for maximum allowable weight? C. If the expected temperature range is 0°C-50°C, what is the error in reading of the maximum weight, assuming the sensor is not temperature compensated and it is made of constantan?
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