Suppose we have a uniform beam that is $3\mathrm{.}30$ metres long has a flexural rigidity of $33030N{m}^2.$

Find the deflection of the beam in millimetres if the beam is under a uniform load of $61\frac{N}{m}$ and is supported with a simple support on the left end, and a fixed support on the right end. Fill out the table below with your answers.

$x-$coordinate Deflection $(mm)$

$x=0\mathrm{.}03,y(x)=$ Skipped

$x=0\mathrm{.}79,y(x)=$

$x=1\mathrm{.}35,y(x)=$ Skipped

$x=2\mathrm{.}24,y(x)=$ Skipped

$x=2\mathrm{.}94,y(x)=$

Enter as many decimal places as your calculator allows $(8$ to $10).$ Your answer must be within $+-0\mathrm{.}0005$ of the correct answer to be considered correct.