solve $2.$ Now consider the steel I$-$beam supported by a taut rope, as shown in Figure B$.$ The I$-$beam has length $\backslash ($ L$=5\backslash$mathrm$\{$~m$\}\backslash ),$ and the cross$-$section is shown to the right. The Young's modulus is $\backslash ($ E$=200\backslash$mathrm$\{$GPa$\}\backslash ).$

a$.$ Compute the critical buckling force for buckling in the $\backslash ($ x z $\backslash )$ plane,

b$.$ compute the critical buckling force for buckling in the $\backslash ($ y z $\backslash )$ plane,

c$.$ state whether buckling will occur in the $\backslash ($ x z $\backslash )$ or $\backslash ($ y z $\backslash )$ plane and draw the buckled shape.

$3.$ If the rope shown in Figure B is removed, would the buckling load of the structure increase, decrease, or remain the same? In a sentence or two, justify your answer.