(Solved): Two metal bars are fastened together at the bolted flange connection shown. There are 2 total bolt ...

Two metal bars are fastened together at the bolted flange connection shown. There are $2$ total bolts connecting the two metal bars together and each bolt has diameter $d_{\text{bolt }}=15.9\mathrm{mm}$. The flange is oriented at angle $?=55^{?}$ with respect to longitudinal axis of the metal bars. If an axial force $F=50\mathrm{kN}$ is applied as shown, determine the overall safety factor of the bolted connection. You may assume the bolts are made out of $1020\mathrm{HR}$ steel and the strength of the bolt in shear is $50\%$ of the tensile strength of the bolt material.