A Channel section is connected to a $10mm$ gusset plate with $20mm-$ diameter bolts as shown in the figure. The connecting member is subjected to dead load and live load only. The pitch distance, $s=60mm($c$.$t$.$c$.$ horizontal bolt spacing$),$ gage distance, $g=75mm($c$.$t$.$c$.$ vertical bolt spacing$)$ and edge distance, e for the channel and gusset plate are $65mm$ and $70mm$ respectively. Considering the following limit states, calculate the total service load capacity if the live$-$to$-$dead load ratio is $2\mathrm{.}5.$ The steel is A$572$ Grade $50$ for both members.

a$.$ GSY

b$.$ NSF

c$.$ BSR

$\backslash$table$[["$A$",$Channel Section$],[0,$C $920$

USE $4$ in $"$A$"$