For the beam and loading shown, use discontinuity functions to compute the deflection $v_D$ of the beam at $D.$ Your answer should be consistent with the sign convention discussed in Section $10\mathrm{.}3.$ Assume a constant value of EI $=1750$kip$-$f $f^2$ for the beam and assume that $L_{AB}=4\mathrm{.}0ft,L_{BC}=6\mathrm{.}5ft,L_{CD}=3\mathrm{.}5ft,P=4\mathrm{.}0$kips and $Q=4\mathrm{.}5$kips.