(Solved): Two strain gauges R2 and R3, are axially placed on a cantilevered beam and are used to measur ...

Two strain gauges $R_2$ and $R_3$, are axially placed on a cantilevered beam and are used to measure a load force as shown in Figure. A Wheatstone bridge which has two fixed-bridge resistors $(R_1$ and $R_4)$, each with a resistance of $120\Omega$, was initially balanced by the two identical unstressed strain gauges. The gauges have a measured resistance of $120.018\Omega$ when an axial tensile strain of $60\mu$ strain exists in the beam. Estimate the linearised tensile strain (in $\mu$ strain) in the beam if ${\mathrm{V}}_0$ is $-4.74\mathrm{mV}$ with a $13.82\mathrm{V}$ power supply and negligible temperature change. (Answer must match to 2 decimal places).