Problem $4$: Brackets, such as the one shown, are used in mooring small watercraft. Failure of such brackets is usually caused by bearing pressure of the mooring clip against the side of the hole. Our purpose here is to get an idea of the static and dynamic margins of safety involved. We use a bracket $\frac{1}{4}$ in thick made of hot$-$rolled $1018$ steel. We then assume wave action on the boat will create force $F$ no greater than $1200$ lbf $.$

Identify the moment $M$ that produces a shear stress on the throat resisting bending action with a "tension" at A and "compression" at $C$

Find the force component $F_y$ that produces a shear stress at the throat resisting a "tension" throughout the weld

Find the force component $F_x$ that produces an in line shear throughout the weld

Find $A,I_u,$ and $I$

Find the shear stress ${}_1$ at A due to $F_y$ and $M,$ the shear stress ${}_2$ due to $F_x,$ and combine to find $.$

Find the factor of safety guarding against shear yielding in the weldment.

Find the factor of safety guarding against a static failure in the parent metal at the weld.

$($a$)$