A simply supported beam $($length$,$ L $=6\mathrm{.}0$m$)$ supports a UDL of $24$ kN$/$m along its entire

length, as well as a point load $($P$)$ at midspan.

i$.$ Knowing that the beam supports a Vmax $=112$ kN$,$ calculate the maximum intensity

for the point load $($P$).[4]$

ii$.$ Knowing that the beam supports a Mmax $=216$ kN$-$m$,$ calculate the maximum

intensity for the point load $($P$).[4]$

iii. What is the maximum allowed value of the point load? $[2]$