$($Static Load Due: Oct $30,2024$ before Midnight$)$ A steel bar of thickness $h,$ to be used as a beam, is welded to a vertical support by two fillet welds as shown in the figure. The bar is subjected to three types of loading, $F_1,F_2$ and $F_3.$ Set $d=3^{\text{'}\text{'}},b=2^{\text{'}\text{'}}$ and $c=8^{\text{'}\text{'}},h=\frac{5}{{16}^{\text{'}\text{'}}}$

Case $1.$ If $F_1=F,F_2=F_3=0$

Case $2.$ If $F_1=F_2=F,F_3=0$

Questions:

Set the applied load, F$,$ equal to $20$ kips $.$ Find the maximal stress and its location in each of the three different loading cases.

If the electrode is E$7010,$ the bar is hot$-$rolled $1020,$ and the support is hot$-$rolled $1015,$ find the factor of safety for each of two loading cases.