A simply$-$supported $23$ sawn lumber beam is subjected to uniform distributed load and

bent about its strong axis. The beam is Douglas Fir$-$Larch $($DF$-$L$)$ No$.2.$

What is the largest distributed load, $w(l\frac{b}{f}t),$ the beam can support assuming flexural

failure controls?

What is the largest distributed load, $w(l\frac{b}{f}t),$ the beam can support assuming shear

failure controls?

Among flexure and shear, which mode of failure controls the beam? Explain your

answer.