b) A strain gauge with a gauge factor of 2 is mounted along the longitudinal axis on the top surface of a rectangular steel bar (with Young's Modulus = 200 x 106 kN/m²) as shown in Figure Q3. The bar is 3cm wide and 1cm high across the cross-section. It is subjected to a tensile load of 30kN. Gauge K i) E Tensile loading Figure Q3 Assuming the resistance of each of the three resistors is 1200 and supply voltage E₁ = 10V, determine: The change in the resistance of the strain gauge, if the resistance of the unstressed gauge is also 12002. ii) The output voltage B.. iii) The sensitivity of the measurement, in terms of bridge output versus loading.

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b) A strain gauge with a gauge factor of 2 is mounted along the
longitudinal axis on the top surface of a rectangular steel bar (with
Young's Modulus = 200 x 106 kN/m2) as shown in Figure Q3. The bar
is 3cm wide and 1cm high across the cross-section. It is subjected to
a tensile load of 30kN.
Gauge
axis
Tensile
loading
Figure Q3
Assuming the resistance of each of the three resistors is 1200 and
supply voltage E= 10V, determine:
i)
The change in the resistance of the strain gauge, if the
resistance of the unstressed gauge is also 1200.
ii)
The output voltage E..
iii)
The sensitivity of the measurement, in terms of bridge output
versus loading.
Transcribed Image Text:b) A strain gauge with a gauge factor of 2 is mounted along the longitudinal axis on the top surface of a rectangular steel bar (with Young's Modulus = 200 x 106 kN/m2) as shown in Figure Q3. The bar is 3cm wide and 1cm high across the cross-section. It is subjected to a tensile load of 30kN. Gauge axis Tensile loading Figure Q3 Assuming the resistance of each of the three resistors is 1200 and supply voltage E= 10V, determine: i) The change in the resistance of the strain gauge, if the resistance of the unstressed gauge is also 1200. ii) The output voltage E.. iii) The sensitivity of the measurement, in terms of bridge output versus loading.
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