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A prestressed concrete pile is $20 \mathrm{~m}$ long. The cross section of the pile is $460 \mathrm{~mm} \times 460 \mathrm{~mm}$. the pile is fully embedded in sand. Given for the sand: $\gamma=18.6 \mathrm{kN} / \mathrm{m}^3$ and $\phi^{\prime}=30^{\circ}$. Estimate the ultimate point load, $Q_p$, usinga. Meyerhof's methodb. Vesic's method (use $1_r=1_{r r}=75$ )c. Janbu's method (use $\eta^{\prime}=90^{\circ}$ )
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The weight of the kentledge exerts an axial force of $P=1500 \mathrm{kN}$ on the 300 -mm diameter high-strength concrete bore pile. If the distribution of the resisting skin friction developed from the interaction between the soil and the surface of the pile is approximated as shown, and the resisting bearing force $\mathbf{F}$ is required to be zero, determine the maximum intensity $p_{0} \mathrm{kN} / \mathrm{m}$ for equilibrium.Also, find the corresponding elastic shortening of the pile. Neglect the weight of the pile.
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