Member $AB$ is the beam under consideration. As shown in the lliustration of the loading condilion,

member $AB$ is a double overnanging beam. It supports a $500-$Ilb$/$t uniformly distributed roof load

of $500l\frac{b}{f}t$ except where the roof is open to the fioor below. Beam AB also supports a

concentrated load of $3000lo$ from a marquee sign. The beam is $23ft$ long with $4-$ft of overnang at

each end. The opening to the foor below Is $4$ feet wide.