P$1$ Ans: $($a$)-94\mathrm{.}653$MPa,$19\mathrm{.}125$MPa, $-27\mathrm{.}81$ MPa $,($c$)-64\mathrm{.}562$MPa,$19\mathrm{.}125$MPa, $-24\mathrm{.}66$ MPa

A hollow structural steel member with an outside diameter $D=220\mathrm{.}0mm$ and an inside diameter

$d=204\mathrm{.}0mm$ is subjected to internal pressure of $1500\mathrm{.}0$ kPa and to the mechanical loads shown.

$($a$)$ calculate the individual stress components at $H$ and superimpose them into the combined

stress state in location $H,$

$($b$)$ show your results from $($a$)$ on a properly oriented plane stress element,

$($c$)$ calculate the individual stress components at $K$ and superimpose them into the combined

stress state in location $K,$

$($d$)$ show your results from $($c$)$ on a properly oriented plane stress element.