using: y$=43/27573($x$^5/120+$ Ax$^3/6+$Bx$^2/2+$c $)$

boundary conditions: y$(0),$ y$\text{'}\text{'}(0)$ and y$(4\mathrm{.}70),$ y$\text{'}\text{'}(4\mathrm{.}70)$

Suppose we have a uniform beam that is

$4\mathrm{.}70$

metres long has a flexural rigidity of

$27573$

N

m

$2$

$.$

Find the deflection of the beam in millimetres if the beam is under a uniform load of

$43$

N

m

and is supported with simple supports at both ends. Fill out the table below with your answers.

x

$-$coordinate Deflection $($

m

m

$)$

x

$=$

$0\mathrm{.}24$

y

$($

x

$)$

$=$

Skipped

x

$=$

$1\mathrm{.}55$

y

$($

x

$)$

$=$

Skipped

x

$=$

$2\mathrm{.}35$

y

$($

x

$)$

$=$

Skipped

x

$=$

$2\mathrm{.}87$

y

$($

x

$)$

$=$

Skipped

x

$=$

$4\mathrm{.}09$

y

$($

x

$)$

$=$

Skipped

Enter as many decimal places as your calculator allows $(8$ to $10).$ Your answer must be within

$\backslash$pm

$0\mathrm{.}0005$

of the correct answer to be considered correct.