Problem Statement:

Problem $1($Full credit $=3$pts$)$: Please select an economical A$36$ steel wide flange section to serve

as the columns to support an ${18}^{\text{'}}$ long beam carrying a combined uniform rectangular load of

$21,000$ plf and a $60-$kip concentrated load placed at mid$-$span. The column is ${15}^{\text{'}}$ tall, unbraced,

and is considered pinned at the top and bottom. The allowable compression stress $F_a$ is $22$ksi.

Hints:

$(1)$ The column is pinned at the top, so there is no

moment at the connection of the column and the

beam.

$(2)$ Use the AISC shape database or textbook

Appendix $1$ to find wide flange sections and their

geometric properties.

$(3)$ Use the textbook Appendix $4$ to determine the

allowable buckling stress based on the

slenderness ratio.