$(4$pts$)$ Two posts are subject to the same axial compression, P$.$ Post A is a $4"$ diameter $($cross$-$section$)$ steel post with properties shown $($note: actual $4"$ diameter, not reduced$)$ Post B is a $4"$ diameter $($cross$-$section$)$ wood post with properties shown $($note: actual $4"$ diameter, not reduced$)$ Given that the posts have the same height and area, which post will shorten more under a given compressive load P$?$ Why? Note, no calculations are required to answer this question $($Circle one$)$ Post A: Material: A$36$ Steel E $=29,000,000$ psi Height $=18$ft $0\text{'}-4"$ Post B: Material: Douglas$-$Fir E $=1,450,000$ psi Height $=18$ft $0\text{'}-4"0\text{'}-4"2.(5$pts$)$ Calculate the critical buckling load "Pcritical" for Post B from Problem $1.$ Assume the column is pinned at top and bottom $($K$=1\mathrm{.}0).1.(4$pts$)$ Two posts are subject to the same axial compression, P $.$

Post A is a $4"$ diameter $($cross$-$section$)$ steel post with properties shown $($note: actual $4"$ diameter, not reduced$)$

Post B is a $\backslash (4^\{\backslash$prime $\backslash$prime$\}\backslash )$ diameter $($cross$-$section$)$ wood post with properties shown $($note: actual $4"$ diameter, not reduced$)$

Given that the posts have the same height and area, which post will shorten more under a given compressive load P$?$ Why?

Note, no calculations are required to answer this question

$($Circle one$)$

$2.(5$pts$)$ Calculate the critical buckling load $"\backslash (\backslash$mathrm$\{$P$\}\_\{\backslash$text $\{$enteul $\}\}\backslash )$ for $\backslash (\backslash$underline$\{\backslash$text $\{$ Post $\}\backslash$mathrm$\{$B$\}\}\backslash )$ from Problem $1.$ Assume the column is pinned at top and bottom $(\backslash ($ K$=1\mathrm{.}0\backslash )).$