For the thin$-$walled open section shown below, determine $(1)$ the shear flow distribution

for shear force $V_y$ acting though the shear center of the cross$-$section and $(2)$ location of the

shear center along the $z-$axis, $e_z,$ from the Center of Gravity, C$.$G$.$ Draw a diagram of the

shear flow. $($Note: the shear force is graphically displayed acting through the C$.$G$.$ since

the location of the shear center $(z-$axis ordinate$)$ is not known$).$ Note the coordinate system

used in the figure.

Work flow: for this problem, start with the top left flange $(AB),$ then top right flange

$(CB),$ then bottom left flange $(ED),$ and then web $(DB).$