Question $5[10$ marks$]$

A cantilevered bar of radius $\backslash ($ r$=25\backslash$mathrm$\{$~mm$\}\backslash )$ supports an axial load $\backslash ($ P$=450\backslash$mathrm$\{$~N$\}\backslash )$ and a vertical load $\backslash ($ F$=\backslash )900$ N acting at the end of an $800$ mm long arm.

a$)$ Find the most loaded cross$-$section.

b$)$ At the most loaded cross$-$section, determine the state of stress at point $\backslash ($ H $\backslash )$ located on the $\backslash ($ y $\backslash )$ axis and outer surface $($see figure$).$

c$)$ Draw the original stress state as well the principal stresses on respective properly oriented elements.