Suppose we have a uniform beam that is $2\mathrm{.}45$ metres long has a flexural rigidity of $25255N{m}^2.$

Find the deflection of the beam in millimetres if the beam is under a load of $f(x)=7\mathrm{.}11(x+0\mathrm{.}14)(4\mathrm{.}207-x)\frac{N}{m}$ and is supported with fixed supports at both ends. Fill out the table below with your answers.

$\backslash$table$[[x-$coordinate,Deflection $(mm)$

$10$ Decimals