Question

A 120 ? strain gauge with a gauge factor of 2 is mounted on a beam and connected in a Wheatstone bridge as shown in Figure Q1a. The bridge is powered by a 12 V DC supply in series with a 510 resistance. The beam is subject to a tensile force, which produces an axial strain of 940 microstrain measured by the strain gauge 510 ? Strain gauge 1 120 ? 120 ? Stratn galge 1 12 V 120 120 ? Figure Q1a Under no strain, calculate the current in the strain gauge and the power dissipated by the strain gauge in Figure Q1a a) Calculate the bridge output voltage for the circuit in Figure Q1a when the beam is under strain b) An additional identical strain gauge is mounted on the beam at 90° to the orientation of the first strain gauge so that this second gauge senses the lateral strain (Figure Q1b). Poissons ratio for the beam material is 0.3 Both strain gauges are connected in the bridge as shown in Figure Q1b Calculate the bridge output voltage when the beam is under strain c) 510 Q Strain gauge 1 120 Q 120 ? Strain gauge 2 Strain 12 V Strain gauge 2 120 ? 120

A 120 Ω strain gauge with a gauge factor of 2 is mounted on a beam and connected in a Wheatstone bridge as shown in Figure Q1a. The bridge is powered by a 12 V DC supply in series with a 510 Ω resistance. The beam is subject to a tensile force, which produces an axial strain of 940 microstrain measured by the strain gauge .

a) Under no strain, calculate the current in the strain gauge and the power dissipated by the strain gauge in Figure Q1a.

b)  Calculate the bridge output voltage for the circuit in Figure Q1a when the beam is under strain.

c) An additional identical strain gauge is mounted on the beam at 90° to the orientation of the first strain gauge so that this second gauge senses the lateral strain (Figure Q1b). Poisson's ratio for the beam material is 0.3 Both strain gauges are connected in the bridge as shown in Figure Q1b Calculate the bridge output voltage when the beam is under strain.

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Answer #1

120n 12 V 12020 2- 63 D train gange 12V DC /212 20.0%2 120.22 2 510 120 1, -1 (240.22) 249.22ナ14t) : Gf Egy = 2XA4-D X1DbX12.DX0. 3: 3b、D6 Δ R ภ. 、 -1(2044) 204.16 24D 51

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