Example $8\mathrm{.}7$

A hollow$-$cylinder load cell of the type shown in Figure $8\mathrm{.}34($b$)$ has an outside diameter of $1$ in$.$

and a wall thickness of $0\mathrm{.}040$ in$.$ It is made of aluminum with a modulus of elasticity of

$10{10}^{6}lb\frac{f}{i}{n}^2$ and Poisson's ratio of $0\mathrm{.}3.$ What axial force is necessary to produce an axial stress

of $20,000?$ What will be the electrical output with this force if we have four active gages, each

with a nominal $120-$ resistance and a gage factor of $2\mathrm{.}06,$ and a $10-V$ power supply?