A four-pile group consists of prestressed concrete piles having a cross section $0.4 \mathrm{~m}$ by $0.4 \mathrm{~m}$. The piles are embedded (driven) $12 \mathrm{~m}$ into an overconsolidated clay where the shear strength cohesion $c_u$ is $100 \mathrm{kPa}$ and the soil usit weight is $18 \mathrm{kN} / \mathrm{m}^3$. The pile spacing is $2 \frac{1}{2}$ diameters. Find the capacity of the pile group hy the a-method, and applying a factor of safety of 3. (Hint: When analyzing the shaft capocity of the group, use soil-to-pile shaft adhesion where the pile and soil are in contact, bet soil cohesion as shesir strength for the soil embedded between the piles; ref. Mustration 16 .)