A horizontal cantilever beam $($length $3L)$ is fixed at the wall at the left end and vertically constraine at the right end. There is a hinge located at $x=L$ and a point load, $P,$ at $x=2L$ acting vertically down.

The cross$-$section is constant and the material too, with $EI=4{10}^{4}kN{m}^2.$

If the length of the beam is $3L=6m$ and the load is $P=40kN,$ calculate:

the downwards vertical displacement at $x=2L$ beneath the applied load:

Round your answer to $3$ significant figures.

$[$Units: $mm]$