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

Learning Goal: $$

As shown, beam $BC$ is supported by columns $AB$ and $CD$ and has length $L_w=19\mathrm{.}0ft.$ Both columns

have the cross section shown and have lengths of $L_h=18\mathrm{.}0ft.$ Let $a=7\mathrm{.}00$ in $,b=1\mathrm{.}50in,c=$

$10\mathrm{.}75$ in $,$ and $d=2\mathrm{.}50$ in $.$ Assume $E=28000$ksi. Column $AB$ is pinned at both ends. $($Figure $1)$

Determine the critical load, $P_{cr},$ 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 to three significant figures and include the appropriate units

$$ View Available Hint$($s$)$

$P_{cr}=$

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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