PROF, DR$.$ YILMAZ CAN

$1-)$ A bracket in the form of a plate is fitted to a column by means of four rivets $A,B,C$ and D in the same vertical line, as shown in Fig. $9\mathrm{.}33.AB=BC=CD=60mm.$ E is the mid$-$point of BC $.$ A load of $100$ kN is applied to the bracket at a point $F$ which is at a horizontal distance of $150$ m from E $.$ The load acts at an angle of $30$ to the horizontal. Determine the diameter of the rivets which are made of steel having a yield stress in shear of $240$ MPa $.$ Take a factor of safety of $1\mathrm{.}5.$