$5\mathrm{.}15-5$ The beam shown in Figure P$5\mathrm{.}15-5$ is simply supported and has lateral support only at its ends. Neglect the beam weight and determine whether it is satisfactory for each of the loading conditions shown. A$992$ steel is used, and the $1\mathrm{.}2ki\frac{p}{f}t$ is a service live load. Manual Table $6-2$ may be used.

a$.$ Use LRFD$.$

b$.$ Use ASD.

$($a$)$

$($b$)$

FIGURE P$5\mathrm{.}15-5$