$5\mathrm{.}10-9$ A simple beam with an overhang supports a uniform load of intensity $q=1200$

$l\frac{b}{f}t$ and a concentrated $P=3000lb$ load at $8ft$ to the right of A and also at $C($see

figure$).$ The uniform load includes an allowance for the weight of the beam. The

allowable stresses in bending and shear are $18$ksi and $11$ksi, respectively.

Select from Table F$-2($a$),$ Appendix F$,$ the lightest I$-$beam $($S shape$)$ that will support the

given loads.

Hint: Select a beam based upon the bending stress and then calculate the maximum shear

stress. If the beam is overstressed in shear, select a heavier beam and repeat.

Answer:

$S823$