Given

$6\mathrm{.}44$ through $6\mathrm{.}48$ Using the conjugate$-$beam method, de$-$

termine the smallest moments of inertia I required for the

beams shown in Figs. P$6\mathrm{.}18$ through P$6\mathrm{.}22,$ so that the max$-$

imum beam deflection does not exceed the limit of $\frac{1}{360}$ of

the span length $($i$.$e$..{}_{\text{m}\text{a}\text{x}}\frac{L}{360}).$

FIG. P$6\mathrm{.}21,$ P$6\mathrm{.}47$