$14-7.$ A construction site typically has lots of $24$ lumber pieces. Suppose a remodeling project requires temporarily providing column support to a horizontal beam. You intend to use a $24$ that is $8ft$ long to provide this temporary support. Using U$.$S$.$ Customary Units, determine the load that would cause the $248ft$ to buckle and how much load it can support with a design factor of $2$ to prevent buckling. That is$,$ assuming it is initially straight and undergoes elastic buckling.