Problem $1(30\%)$

Using the steels for which the column tables are provided in Part $4$ of the Manual, select the lightest

available rolled sections $($W$,$ HP$,$ HSS Square, and HSS Round$)$ that are adequate for the following

conditions:

$($a$)P_D=75k$ and $P_L=220k,L=16ft,$ column is fixed at both ends

$($b$)P_D=100k$ and $P_L=200k,L=25ft,$ column is pinned at both one end and fixed at the other end