A short column with a wide$-$flange shape is subjected to a compressive load that produces a resultant force P$=33\mathrm{.}4$kN acting at the midpoint of one flange $($see figure$).$

$($a$)$ Determine the maximum tensile and compressive stresses $\backslash$sigma $\_($t$)$ and $\backslash$sigma $\_($C$^(\text{'}))$ respectively, in the column. $($Enter your answers in MPa. Use the deformation sign convention.$)$

$\backslash$sigma $\_($t$)=$

MPa

$\backslash$sigma $\_($c$)=$

MPa y$,$ in mm $,$ on which this axis lies.mm

$($c$)$ Recompute maximum tensile and compressive stresses if a $120$mm$\backslash$times $10$mm cover plate is added to one flange as shown. $($Enter your answers in MPa. Use the deformation sign convention.$)$

$\backslash$sigma $\_($t$)=$MPa

$\backslash$sigma $\_($c$)=$MPa