Refer to Figure P2.79 but assume that the cantilevered beam loaded by a force F is made of steel. Strain gauges R1, R2, R3, and R4 are attached to the beam and connected in the circuit shown. The force causes a tension stress on the top of the beam that causes the length (and therefore the resistance) of R1 and R4 to increase and a compression stress on the bottom of the beam that causes the length (and therefore the resistance) of R2 and R3 to decrease. The result is a voltage vBA across nodes B and A.
Determine this voltage if F = 1.3 MN and
Ro = 1k? vS =24V L = 1.7 m
w = 3 mm h = 7 cm Y = 200 GN/m2
Known quantities:
Schematic of the circuit and geometry of the beam shown in Figure P2.79, characteristics of the material, reads on the bridge.
Find:
The force applied on the beam.
Assumptions:
Gage Factor for Strain gauge is 2
Analysis:
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