A driven closed$-$ended pile, circular in cross section, is show in below figure P$10.$ Calculate the

following: $1).$ the ultimate point load $Q_p$ using Meyehof's equations $(9\mathrm{.}15)$ and $(9\mathrm{.}16)$; $2).$ The

ultimate frictional resistance $Q_s$ with equations $(9\mathrm{.}40)$ through $(9\mathrm{.}44)$; $3).$ Calculate allowable

load$-$carrying capacity for the pile with FS of $3.(K=1\mathrm{.}4$;${}^{\text{'}}$~~$0\mathrm{.}8{}^{\text{'}})$

${}_{\text{s}\text{a}\text{t}}=19\mathrm{.}2k\frac{N}{m^3}$

${}^{\text{'}}=40$

$c^{\text{'}}=0$

Fig. P$10$

$Q_p=A_p{q}_p=A_p{q}^{\text{'}}{N}_q^{**}$

$Q_p=A_p{q}^{\text{'}}{N}_q^{**}{A}_p{q}_l$

$L^{\text{'}}$~~$15D$

$f=K{}_o^{\text{'}}tan{}^{\text{'}}$

$f=f_z=L^{\text{'}}$

$Q_s=f_{av}pL=(\frac{K}{b}ar({)}_o^{\text{'}}tan{}^{\text{'}})pL$

$Q_s=\frac{K}{b}ar({)}_o^{\text{'}}tan(0\mathrm{.}8{}^{\text{'}})pL$

$(9\mathrm{.}15)$

$(9\mathrm{.}16)$

$(9\mathrm{.}40)$

$(9\mathrm{.}41)$

$(9\mathrm{.}42)$

$(9\mathrm{.}43)$

$(9\mathrm{.}44)$