work integrals.

$7\mathrm{.}31$ through $7\mathrm{.}33$ Determine the smallest moment of inertia

I required for the beam shown, so that its maximum deflec$-$

tion does not exceed the limit of $1/360$ of the span length

$($i$.$e$.,{}_{\text{m}\text{a}\text{x}}\frac{L}{360}).$ Use the method of virtual work.

FIG. P$7\mathrm{.}31$

$45k\frac{N}{m}$

IG$.$ P$7\mathrm{.}32$