A square prestressed concrete pile with a cross section $0.3 \mathrm{~m}$ by $0.3 \mathrm{~m}$ is driven $15 \mathrm{~m}$ into overconsolidated clays with properties as defined: From the ground surface to a depth of $7 \mathrm{~m}$, the unit weight is $17 \mathrm{kN} / \mathrm{m}^3$ and the shear strength cohesion $\mathrm{c}_{\mathrm{y}}$ is $70 \mathrm{kPa}$; below $7 \mathrm{~m}$, the soil unit weight is $18.5 \mathrm{kN} / \mathrm{m}^3$ and cohesion is $105 \mathrm{kPa}$. Use the total stress $\alpha$-method to calculate both the design downward axial capacity and upward axial capacity, using a factor of safety of 3 (downward and upward).