$[$Problem#$3]$ A $16$ ft long Douglas Fir Larch, No$.1$ grade, simply supported beam has $[$Problem#$4]$ Use the information provided in Problem#$3$ above and calculated the

maximum deflection of the beam in inch units. Given young's modulus of elasticity

$E=1\mathrm{.}7{10}^6$

a uniformly distributed load of intensity $(w)=0\mathrm{.}3ki\frac{p}{f}t$ through its entire length

and three concentrated loads $(P=2\mathrm{.}5$kip $)$ at its quarter points. Check using the ASD

method, if $816$ timber beam would be safe based on bending and shear. Given

maximum allowable bending stress $F_b=1,350$ and the maximum allowable

shear stress $F_v=170$ psi