Do calculations to check whether the $G{10}_{300}mm50mm($i$.$e$.28045mm)$ floor joists at the

mezzanine level, between Gridlines $2$ and $3$ and spaced $400$ mm apart, have adequate stiffness to

limit the sag to $\frac{L}{300},$ due to a uniformly distributed line load $($for the mezzanine storage level$),w,$

for $G+{}_{l}Q,$ of $w=1\mathrm{.}625k\frac{N}{m}.$ Treat the floor joists as though they are simply supported with a

length of $3850$ mm $($and moisture content is $15\%).$ In addition, assume that the plywood sheeting

means that the floor joists displace together $($and so you can use average modulus of elasticity, E$\text{'}).$

Report the ratio of the displacement demand to the displacement limit$.$