$9\mathrm{.}9$ and $9\mathrm{.}10$ For the beam and loading shown, $($a$)$ express the magnitude and location of the maximum deflection in terms of $w_{0.},L,E,$ and I. $($b$)$ Calculate the value of the maximum deflection, assuming that beam $AB$ is a $W46074$ rolled shape and that $w_0=68k\frac{N}{m},L=5\mathrm{.}5m,$ and $E=200$GPa.

Fig. P$9\mathrm{.}9$

$9\mathrm{.}9$

$($a$)0\mathrm{.}00652w_0\frac{L^4}{E}$Idarr;$0\mathrm{.}519L.$ Ans.

$($b$)6\mathrm{.}09$mmdarr.