LO #$5$: Distributed Forces: Centroids, Center of Gravity, and Moments of Inertia Rubrics. Students need to be able to:

Calculate the internal forces in members using the proper sign conventions

Draw shear and moment diagrams for beams $($and other simple structures$)$

Calculate the centroid of a line, area, and volume using both integration and composite bodies

Calculate the resultant loads from distributed forces including from static fluids

The $2-$m$-$wide $($out of the page$)$ rectangular gate is pinned at its center A and is prevented from rotating by the block at B$.$ Determine the reactions at these supports due to hydrostatic pressure, ${}_w=1\mathrm{.}0$

$M\frac{g}{m^3}.$