Consider a structure including the horizontal beam AB hinged to the wall at point A and supported by steel bar at point B$.$ The length of the beam is l$=4\mathrm{.}0$ m and its weight is W$=450$ N$.$ The length of the steel bar is h$=2\mathrm{.}0$ m and its radius is r$=1\mathrm{.}5$ cm$.$ The steel bar has elastic E$=200$ GPa and yield strength y$=500$ MPa.

a$.$ Determine:

$($i$)$ The magnitude of reaction force, RA$,$ at point A

$($ii$)$ The tensile stress, $,$ exerted by the beam on the steel bar $($ii$)$ The tensile strain, $,$ developed in the bar

b$.$ What is the maximum weight $($Wmax$)$ beam that the steel bar can support without deforming permanently?