$12\mathrm{.}3$ A $500mm$ diameter and $20m$ long concrete pile is driven into a sand where $=18\mathrm{.}5k\frac{N}{m^3}$ and ${}^{\text{'}}=32.$ Assuming ${}^{\text{'}}=0\mathrm{.}7{}^{\text{'}}$ and $K=1\mathrm{.}5K_o,$ determine the loadcarrying capacity of the pile, with a factor of safety of $3.$ Use Meyerhof's method $[$Eq$.(12\mathrm{.}18)]$ for computing the point load$-$carrying capacity $Q_p,$ and use Eqs. $(12\mathrm{.}42)$ and $(12\mathrm{.}43)$ for computing the load$-$carrying capacity of the pile shaft $Q_s.$

$12\mathrm{.}4$ Redo Problem $12\mathrm{.}3$ using Coyle and Castello's methods for estimating both $Q_p$ and $Q_s.$