A cantilever beam is loaded vertically by a vertical end$-$load, $P=250N,$ and a uniform horizontal

load, $w=1\mathrm{.}0k\frac{N}{m}.$ All loads are applied at the shear center. The beam is made of aluminum

with $E=70000$MPa.

Figure $1$: System, loading, and cross section definition.

Compute or collect section properties from Assignment #$1$

Find the deflection of the end point $($all components$).$ Provide values for the $($i$)$ vertical and

$($ii$)$ the horizontal components of deflection, as well as components in principal directions and

the absolute value of deflection $($in the direction of maximum deflection$).$

The energy principles $($virtual work or Castigliano's $2^{nd}$ theorem$)$ covered in AA $331$ apply if

expressed in principal directions.

Hints: Make sure to work in the principal directions to avoid coupling of the two directions.