Figure $3($a$)$ shows a pin$-$jointed connection between two bars that is required to transmit an axial force $F.$ The components of the joint and their dimensions are shown in Figure $3($b$),$ where $D=20,h=30,t=10,d=15$ all in $mm.$

Determine the maximum allowable force $F$ if the allowable tensile stress in the components is $80$MPa and the allowable shear stress in the pin is $40$MPa.