Question $7$

$15pts$

Consider a simply supported aluminum beam that's seven and a half feet long. A one hundred pound load is hung off the beam at a location that is two and a half feet from the left support. Calculate the beam displacement at midspan. The beam's cross section has a moment of inertia that is $2\mathrm{.}5in.{?}^4.$ Clearly show all calculations. No credit if you cheat and use some kind of beam displacement software or website. Scan or photograph your work and upload it here as a PDF document. You may not receive credit if your name isn't clearly written at the top of the paper before scanning it$.$