A water tank of mass kg is supported on a reinforced cement concrete column, as shown in Fig. 9.48(a). When a projectile hits the tank, it causes a shock, in the form of a step force, as shown in Fig. 9.48(b). Determine the stiffness of the column if the maximum deflection of the tank is to be limited to 0.5 m. The response spectrum of the shock load is shown in Fig. 9.48(c).