A single vertical friction pile of diameter $500 \mathrm{~mm}$ and length $20 \mathrm{~m}$ is subjected to a vertical compressive load. The pile is embedded in a homogeneous sandy stratum where: angle of internal friction $(\varphi)=30^{\circ},$ dry unit weight $(\gamma d)=20 \mathrm{kN} / \mathrm{m}^{3}$ and angle of wall friction $(\delta)=2 \varphi / 3$ Considering the coefficient of lateral earth pressure $(K)=2.7$ and the bearing capacity factor $\left(N_{q}\right)=25,$ the ultimate bearing capacity of the pile (in $\mathrm{kN}$ ) is

A single vertical friction pile of diameter $500 \mathrm{~mm}$ and length $20 \mathrm{~m}$ is subjected to a vertical compressive load. The pile is embedded in a homogeneous sandy stratum where: angle of internal friction $(\varphi)=30^{\circ},$ dry unit weight $(\gamma d)=20 \mathrm{kN} / \mathrm{m}^{3}$ and angle of wall friction $(\delta)=2 \varphi / 3$ Considering the coefficient of lateral earth pressure $(K)=2.7$ and the bearing capacity factor $\left(N_{q}\right)=25,$ the ultimate bearing capacity of the pile (in $\mathrm{kN}$ ) is

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