2. An unsymmetrical Z-shaped section is made from welding three 4mm-thick steel plates together, as shown below. (a) Calculate the minimum moment of inertia (Imin) of the section and sketch its orientation. (b) If the section is used as a column under pure axial load, with an unsupported length of 4 m and "fixed" end conditions, determine whether the column will fail by buckling or yielding and at what load this will occur. Z-Shaped Section 100 mm 100 mm 242 mm 250 mm Material Properties E = 200 GPa = 300 MPa 1