Q$6($a$).[22+8=30$ points$]$ Consider the beam cross section as shown. It is subjected to a shear of $V=10kN.$ It can be shown that the maximum shear stress occurs for this case on the line $AB.$

$($i$)$ Determine the maximum shear stress developed anywhere on this line $AB($within the thickness of $50$ mm $).$

$($ii$)$ What is the ratio of the maximum shear stress calculated above to the average shear stress value for the entire cross section?

Figure Q$6($a$)$