Question $3$: A square box beam has outer dimensions of $5\mathrm{.}0cm$ and inner dimensions of $4\mathrm{.}5cm.$ The beam is clamped securely at one end. The beam is loaded $30\mathrm{.}0cm$ from the clamped end. Assume deflection is measured at the same point load is applied. The beam is made of aluminum with a modulus of elasticty of $7\mathrm{.}0106\frac{N}{c}m2.$

A: Find the deflection of the for $1000N,2000N,3000N,4000N,$ and $5000N.$ Put that deflection data into the chart below.

B: Graph the data with the independent variable $($load$)$ on the $x-$axis and the dependent variable $($deflection$)$ on the $y-$axis. Be sure to label axes and give an appropraite title.

C: What is the slope of the line? Be sure to include units.

$\backslash$table$[[$Load $($N$),$Deflection $($cm$)],[1000,],[2000,],[3000,],[4000,],[5000,]]$