$1$ Shear Flow with Different Wall Thicknesses: Modified C$-$Channel Beam

We computed the shear flow distribution for a C$-$channel beam in class. We will do the same here, except now the web is four times thicker than the flanges. $($Note this shifts the centroid and alters the moments of inertia from the in$-$class example.$)$ Compute the shear flow distribution for a vertical shear load $\backslash ($ S$\_\{$y$\}\backslash )$ through the shear center. Where is the maximum shear stress, and where does it act?