$11\mathrm{.}4$ Two $\frac{1}{2}-$in$.$ steel plates with $S_y=52\mathrm{.}5$ksi are butt$-$welded $($as in Figure $11\mathrm{.}6).$ E$60$ series welding rods are used, and good welding practice is followed. With a safety factor of $3,$ what tensile load can be applied to the plates per inch of welded plate width?

Figure $11\mathrm{.}6$

Representative butt and groove welds: $($a$)$ open square butt joint, $($b$)$ single vee groove, $($c$)$ double vee groove, $($d$)$ single bevel butt joint.