Description: The overhang beam is constructed using two $2-$in$.$ by $4-$in$.$ pieces of #$2$ Southern Pine wood braced as shown in the figure. Assume the beam is pin$-$connected at $A,B,$ and $D.$ Neglect the axial force developed in the beam along $DA.$ From AWC, the allowable bending stress is ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=1,100$ psi.

A$)$ What is the section moment of inertia?

B$)$ What is the value of $Q?$

C$)$ If $I=24i{n}^4,$ determine the largest load $P$ that can be applied.

D$)$ If $V=P=400lb,$ determine the associated maximum spacing of nails in inches, $s,$ along the beam section $AC$ if each nail can resist a shear force of $600$ lb$.$ Use $I=24i{n}^4,$ and $Q=8\mathrm{.}0i{n}^3.$

E$)$ If the nail diameter is ${0\mathrm{.}148}^{\text{'}\text{'}}($#$16$ Sinker$),$ what is the bearing stress in psi in the wood if each nail has an applied shear force of $600lbs.?$