A ½" x 8" AISI 1018 Cold Drawn steel bar, 20" long, (Yield Strength=45 kpsi) is bolted to a vertical column to support a vertical load, F = 8 kips, nd a horizontal load, G = 5 kips. as shown in the figure below. Four ½"-13 UNC, SAE grade 5 bolts are selected for this purpose. They are marked by A, B, C, and D in the figure. Note that $d = b = 8\"$ and $c = 12\"$. And the horizontal and vertical distance between a pair of bolts is 4". The distance between the edge and the bolt is 2".
1) Which bolt among the four bolts is subjected to the maximal shear force? What is the value of the maximal shear force?
2) Find the bearing stress of the bolt due to the contact with the steel bar. Assume that the bolt is threaded in the contact area with the steel bar.
3) Find the factor of safety against bolt shear. Assume that the bolt is threaded when consider the bolt shear stress.