$8\mathrm{.}1.$ For the channel shown in the accompanying figure, separately apply $V_x$ and $V_y$ through the centroid of the section. For each shear compute and draw to scale the shear flow $t$ distribution along each of the elements of the cross$-$section. On the two separate diagrams $($one for $V_x$ and one for $V_y)$ of shear flow distribution compute the total shear force in each element of the cross$-$section in terms of the applied shear $V_x$ or $V_y.$ Using these computed shear forces calculate the two coordinates of the shear center.

$I_x-=192\mathrm{.}7i$

$I_y-=19\mathrm{.}14i$

$\stackrel{}{x}-=1\mathrm{.}087ii$

Problem $8\mathrm{.}1$