For the beam subjected to the loading shown, determine the stress at point C $,$ represent the stress element on Mohr's circle, and find the principal stresses $($max and min shear and normal stresses$)$ as well as the principal planes $(\backslash (\backslash$theta$\_\{\backslash$mathrm$\{$p$\}\}\backslash )$ and $\backslash (\backslash$theta$\_\{\backslash$mathrm$\{$S$\}\}\backslash )).$ Note: For Case $2,$ the load is applied at the centroid of the section, whereas for Cases $3$ and $4,$ the load is applied at the top of the section.

Case $1$: