$3\mathrm{.}10.$ Four quarter$-$circular gages are located in all four quadrants, as shown in Fig. P$3\mathrm{.}10.$ A full Wheatstone bridge is used.

$($a$)$ Position the four gages in the full bridge properly in order to have the bridge output proportional to shear strain ${}_{xy}$

$($b$)$ Determine the bridge output $\frac{E}{V}.($Transverse sensitivity effects are neglected.$)$

FIGURE P$3\mathrm{.}1$

$3\mathrm{.}10.$ Four quarter$-$circular gages are located in all four quadrants, as shown in Fig. P$3\mathrm{.}10.$ A full Wheatstone bridge is used.

$($a$)$ Position the four gages in the full bridge properly in order to have the bridge output proportional to shear strain ${}_{xy}$

$($b$)$ Determine the bridge output $\frac{E}{V}.($Transverse sensitivity effects are neglected.$)$

FIGURE P$3\mathrm{.}1$