Consider the materials selection for the legs of a lightweight table. The table has a designed a maximum load capacity of 4F", and it is required that the table legs cannot buckle. Table legs are solid metal rods (length L = 1 m) and the buckle load can be calculated as: ΠΕΙ Fbuckle where I = where E is the Young's modulus, I is the second moment of area of a long and solid cylinder, r is the cross-sectional radius of the cylinder. The design also requires the table legs to be as light as possible and as slender as possible. (1) Following the seven steps, show that the associated material indices are and E1/2 Should they be minimized or maximized? 2