$1.$ Design the beam$-$to$-$column connection shown in the figure below. In your design, use the following criteria:

$-$ Girder shape: W$21$x$55($A$992$ steel$)$

$-$ Column shape: W$10$x$45($A$992$ steel$)$

$-$ Ultimate design load $($LRFD$)$: $\backslash ($ V$\_\{$u$\}=135\backslash$mathrm$\{$kips$\}\backslash )$

$-$ Connection type: Double angle $($You may use A$572$ or A$36$ steel for the angles$*)$

SOLVE THE FOLLOWING WITHOUT USING AI$!$

A schematic of the connection layout is given in the figure below. In your design, you should specify the number of bolts to be used, the diameter, type and spacing of bolts, edge distances, and the angle size. If your design includes fillet welds, specify the size and length.

Provide a sketch of your final design. Include all relevant labels and dimension. You may develop a preliminary design using the design tables in Chapter $10$ of the Steel Construction Manual, but you must calculate all applicable limit states manually for this problem.