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Strength of materials W / Sterkteleer W - 244

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2.3. Calculate the value of the weight W of the block.

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A rigid block has a weight W and is supported by two steel posts (A and B in Figure 1) and a brass post (C in Figure 1), as shown. The posts all have the same original length 2 m and cross-sectional area A = 4000 mm2

Two strain gauges are bonded to the outer surface of each steel post and coupled in half-bridge configuration into arm 2 and arm 4 of a Wheatstone bridge.

The strain gauge factor for the strain gauge on post A is 1.9, while that on post B is 2.0.

When the temperature of the brass post C is raised by 10 °C, the Wheatstone bridge output (Vo/Vi) is 146 x10-6 V/V.

1.1 Calculate the stress in the steel posts at this point.

 

 

 

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1.3. Calculate the stress in the tube when the bridge output voltage is 5 mV.

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1.2 Determine the elongation of the tubing when the bridge output voltage is 5 mV.

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A 350 Ω strain gauge (K = 1.8) is bonded to the outside surface of a 0.8 m length of steel square tubing (outer dimensions 19 x 19 mm, wall thickness 1.6 mm). The strain gauge is coupled in quarter-bridge configuration into a Wheatstone bridge amplifier. A 10 kΩ shunt resistor is coupled in parallel over the strain gauge in order to calibrate the set up. The input voltage to the bridge is 6 V. 

1.1 Calculate the calibration output voltage.

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What colour wire is connected to the P+ terminal of the instrument used to observe the strains?

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What lab instrument is used to observe the strains measured by the strain gauge?

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What approximate reading should you observe while checking if the strain gauge works?

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Which of the following apparatus is used to check whether the strain gauge is correctly set up?

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What would cause a short circuit?

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