$14-21.$ Determine the maximum eccentric loads $P_n$ that can be applied to the connection shown in the accompanying illustration if $\frac{1}{4}-$in SMAW fillet welds are used. Assume plate thickness is $1/2$ in and use E$70$ electrodes. $($a$)$ Use elastic method.

$($b$)$ Use AISC tables and the ultimate strength method.

$($Ans$.($a$)20\mathrm{.}67$ k$,($b$)35\mathrm{.}76$ k$)$