PROBLEM $2(40$ points$)$

$($a$)$ Determine the shear flow distribution in the thin$-$walled

channel section shown due to a shear load $S_y$ applied

through the shear centre of the section.

$($b$)$ Assuming that the walls of the section are only effective

in resisting shear stresses while the booms carry all the

direct stresses, idealize this channel section and determine

the shear flow distribution in this idealized section.