Points A and $B$ of the solid cast$-$iron bracket experience forces, as indicated in Figure $($a$).$ The cross$-$section of the bracket as seen from the z$-$axis is seen in Figure $($b$).$ Determine the state of stresses and sketch the stress elements using the bracket's $20mm$ diameter as a starting point:

i$.$ At point $H_{,}$

ii$.$ At point $K,$

iii. state of stresses at point $L$ without using any calculation.

$($b$)$