Custom Problem:

Determine the design compressive strength of a MC$10$x$8\mathrm{.}4,$ ASTM A$913$ Gr$.70$ being used as a truss chord member. Assume the unbraced length of the channel is $5ft$ for buckling about the $y-$axis and for torsional buckling and is $25ft$ for buckling about the $x-$axis. Assume the connections act as simple pins $(K=1\mathrm{.}0$ for all$).$ Consider all applicable limit states when determining the compressive strength.