a$)$ A W$14$x$132$ column has an effective length for y$-$axis buckling equal to $24$ ft$.$ Determine the effective

length for the x$-$axis that will provide the same theoretical buckling strength.

b$)$ A W$14$x$53$ column has an effective length for x$-$axis buckling equal to $20$ ft$.$ Determine the effective

length for the y$-$axis that will provide the same theoretical buckling strength.

c$)$ An HSS$12$x$6$x$1/2$ column has an effective length for x$-$axis buckling equal to $16$ ft$.$ Determine the

effective length for the y$-$axis that will provide the same theoretical buckling strength.