Problem Statement

Using AISC Table $4-22,$ Available Critical Stress for Compression Members $($Allowable Buckling Stress$),$ select the most economical A$36$ steel wide flange section to serve as a column to support a ${28}^{\text{'}}$ long beam carrying a combined uniform rectangular load of $18,000$ plf and a $60-$kip concentrated load placed at mid$-$span. The column is ${20}^{\text{'}}$ tall and is considered pinned at the top and bottom.

Find the allowable load, $P_{\text{a}\text{l}\text{l}\text{,}}$ for an A$36$ steel HP$12\backslash$times $84$ column that is ${24}^{\text{'}}$ tall and braced at mid$-$height in the weak direction. Refer to Table $4-22$ to determine the Allowable Buckling Stress, $F_{bs}.$

What is the allowable load, $P_{\text{a}\text{l}\text{l}\text{,}}$ for the same column described above if it was fixed top and bottom?

How many $24$ jack studs are required at each end of a wood beam that carries a uniform load of $800$ plf over a ${15}^{\text{'}}$ span with a ${10}^{\text{'}}$ vertical clearance. The lumber is No$.2$ SYP where $F_b=1,200$ psi, $F_v=80$ psi, and $E=1\mathrm{.}75{10}^6$ psi. The jack studs are nailed together sufficiently to perform as a composite section. Neglect any bearing capacity provided by the adjacent king studs.

All work shall be shown and neatly and professionally prepared on official course comp sheets