Determine the maximum force $P$ that can be supported by the assembly without risk of causing member AC to buckle. The member is made of A$992$ steel and has a diameter of $2$ in $.$ Take F$.$S$.=2$ against buckling.

A simply supported steel column is $8$ ft long and has a square cross section of side length $b.$ If the column is to support a $22$ kip axial load, determine the smallest value of b that would prevent buckling. Use $E=29{10}^6$ for steel.

Ans:$1\mathrm{.}708$ in