$(20$ Points$)$

$7-$ For the steel beam and loading shown. A

strain gauge is installed on the top surface of

the beam as shown. Calculate the expected

strain gauge reading.

Given: $$

$W=5lbs,b=1$ inch, $h=0\mathrm{.}125$ inch

$a=4$ inches, and $L=10$ inches

${}_{\text{m}\text{a}\text{x}}=\frac{Mc}{\text{I}},I=\frac{b{h}^3}{12},$ and $E=\frac{}{}$