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 $1/4$ in thick made of hot$-$rolled $1018$ steel, welded with an E$6010$ electrode. We then assume wave action on the boat will create force F no greater than $1200$ lbf$.$

a$)$ Find the force component Fy that produces a shear stress at the throat resisting a $$tension$$ throughout the weld.

b$)$ Find the force component Fx that produces an in$-$line shear throughout the weld.

c$)$ Determine the moment M of the force F about the centroid of the weld G$.$ This moment produces a shear stress on the throat resisting bending action with a $$tension$$ at A and $$compression$$ at C$.$

d$)$ Using Table $92,$ determine A$,$ Iu$,$ and I for the bracket.

e$)$ Find the shear stress $1$ at A due to Fy and M$,$ the shear stress $2$ due to Fx$,$ and combine to find $.$

f$)$ Find the factor of safety guarding against shear yielding in the weldment. Since the weld material is comprised of a mix of the electrode material and the base material, take the conservative approach of utilizing the strength of the weaker material.