Question $3$: A cantilevered beam is $5$ m long and consists of W$200$ X $100$ a steel member. If a $90$ kN concentrated load is applied at a point $1\mathrm{.}5$ m from the beam's free end, use superposition techniques to find $($ a $)$ deflection of the free end caused by the beam's own weight, and $($b$)$ deflection of the free end caused by the concentrated load.