A column under direct axial compression has a square cross-section. The moment of Inertia of its square profile is given by I = and the radius of gyration is given by r = where w, is the width of one of the sides of the square cross-section. The width w of the column is 10 mm and the length l is 500 mm. The column has a fixed-fixed end condition and the maximum expected load is 2500 N. It is desirable that the column does not buckle elastically. It may, however, buckle with elasto-plastic buckling. Given these conditions, find out the constraints on the values of yield strength and young's modulus of the material to be chosen for this column and, based on these constraints justify if aluminium will be a possible candidate material in this case.

A column under direct axial compression has a square cross-section. The moment of Inertia of its square profile is given by I = and the radius of gyration is given by r = where w, is the width of one of the sides of the square cross-section. The width w of the column is 10 mm and the length l is 500 mm. The column has a fixed-fixed end condition and the maximum expected load is 2500 N. It is desirable that the column does not buckle elastically. It may, however, buckle with elasto-plastic buckling. Given these conditions, find out the constraints on the values of yield strength and young's modulus of the material to be chosen for this column and, based on these constraints justify if aluminium will be a possible candidate material in this case.