A short rectangular post supports compressive loads of $\backslash ($ P$=175\backslash$mathrm$\{$kN$\}\backslash )$ and $\backslash ($ Q$=90\backslash$mathrm$\{$kN$\}\backslash ),$ as shown in the figure below. A top view of the post showing the locations where loads $\backslash ($ P $\backslash )$ and $\backslash ($ Q $\backslash )$ are applied to the top of the post is also given. Determine the vertical normal stresses at corners $\backslash ($ a$,$ b$,$ c $\backslash ),$ and $\backslash ($ d $\backslash )$ of the post.