Learning Goal:

As shown, beam $BC$ is supported by columns $AB$ and $CD$ and has length $L_w=20\mathrm{.}5ft.$ Both columns have the cross section shown and have lengths of $L_h=18\mathrm{.}0ft$ Let $a=7\mathrm{.}50in,b=1\mathrm{.}25$ in $,c=12\mathrm{.}00$ in $,$ and $d=2\mathrm{.}75$ in $.$ Assume $E=28000$ksi. Column $AB$ is pinned at both ends $($Eigure $1)$

Part A $-$ Critical load for column $AB$

Determine the critical load, $P_G,$ that column $AB$ can support. Note that the columns are pinned in such a way to only allow bending in the y$-$direction Express your answer to three significant figures and include the appropriate units.

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Part B $-$ Critical stress for column $AB$

Determine the critical stress, ${}_{cr},$ that column $AB$ can support. Note that the columns are pinned in such a way to only allow bending in the $y-$direction. Express your answer in psi to three significant figures.

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Part C $-$ Maximum applicable distributed load $w_{\text{m}\text{a}\text{x}}$

Given the critical load for the column $AB.$ determine the maximum applicable distributed load that can be applied to the beam $BC$ assuming that column $AB$ will fail before column $CD.$ Express your answer in kip$/$ft to three significant figures.

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$\sqrt[8]{}$

A$$

$w_{\text{m}\text{a}\text{x}}=$

kip$/$ft

Figure