Question

Problem 1) V₁ B R₁. RA D R₁ (strain gage) A Wheatstone bridge with a strain gauge is shown above. The nominal gauge resistance is 120 2. The gauge factor is 2.065. Assume that the temperature dependence of the resistance of the strain gauge is R=R, (1+0.004AT). (AT in units °C) V=10V. a.) You apply a strain of 500 μstrain to the gauge. What resistance of R2 do you require to compensate the bridge? Note: You may assume R₁ = R4. b.) Express the effect of temperature in units μstrain/°C. Assume that the temperature in the lab has a maximum change of 3°C. What would be the systematic uncertainty on a strain measurement? Note that this estimate is not including self-heating. c.) An identical strain gauge is placed on position 2 in the Wheatstone bridge to allow for temperature compensation. The bridge is initially balanced. What voltage will you measure for Vo when 500 μstrain is applied to the gauge? Assume there is zero strain on the temperature compensation that is in position 2. d.) Describe how you could increase the sensitivity by adding another strain gauge on position 1. On what side of the beam (upper or lower part) would you attach this additional strain gauge if the original strain gauge is mounted on the upper part? Please draw the beam and clearly indicate the position of all the gauges on the beam. e.) Describe how you could increase the sensitivity by adding another strain gauge on position 4. On what side of the beam (upper or lower part) would you attach this additional strain gauge if the original strain gauge is mounted on the upper part? Please draw the beam and clearly indicate the position of all the gauges on the beam.

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