$6\mathrm{.}18$ Use the moment$-$area method to determine the slopes and deflections

at points $B$ and $C$ of the beam shown.

$6\mathrm{.}18$ through $6\mathrm{.}22$ Determine the smallest moment of inertia I required for the beam

shown, so that its maximum deflection does not exceed the limit of $\frac{1}{360}$ of the span

length $($i$.$e$.,{}_{\text{m}\text{a}\text{x}}\frac{L}{360}).$ Use the moment$-$area method.

Fig. P$6\mathrm{.}18,$