$2$ Shear Flow in Open Section

We will revisit the Z$-$shaped beam from Homework $3,$ Problem $4($same dimensions, so same centroid and moments of inertia$).$ Consider loads $\backslash ($ S$\_\{$x$\}=-2$ S $\backslash )$ and $\backslash ($ S$\_\{$y$\}=$S $\backslash )$ acting through the shear center. Compute the shear flow distribution in terms of $\backslash ($ a$,$ t $\backslash ),$ and $\backslash ($ S $\backslash ).$ Sketch how it varies across the cross$-$section.