Select the optimal thickness $($tf$=$tw$)$ rounded to $1/16$ for the plates that make up a column with the following configuration: Articulated at both ends, length between supports of $10$ feet, H$=$B$=5$ in$.,$ Ultimate load of $60$ kip compression. Use steel Fy$=50$ ksi. Solve according to the LRFD procedure. Identify if the skates and core are compact$/$non$-$compact or slender.