Determine the critical force $P_{cr}"$ that the column can support. Assume the column is pinned at the top and bottom and braced against the weak axis at mid height. The bracing at mid height acts as a pinned connection. The column height is

$E=200,000$MPa

Assume a column size of

a$.$ Draw the sketch in your hard copy

b$.$ Determine the Moment of Inertia about the horizontal centroidal axis

$I_{\text{h}\text{a}\text{t}(x)}=$

$($Answer to $3$ sig digs$)$

c$.$ Determine the Moment of Inertia about the vertical centroidal axis

$I_{\text{h}\text{a}\text{t}(y)}=$

$($Answer to $3$ sig digs$)$

d$.$ Detrmine the critical force the column can support about the $"$x$-$axis"

$P_{cr-x}=$

$($Answer to $4$ sig digs$)$

e$.$ Detrmine the critical force the column can support about the $"$y$-$axis"

$P_{cr-y}=$

$($Answer to$4$ sig digs$)$

f$.$ What is the critical force?

$P_{cr}=$

$($Answer to$4$ sig digs$)$