$\backslash$table$[[9\mathrm{.}5,8],[11,15],[12\mathrm{.}5,17],[14,20],[15\mathrm{.}5,19]]$

Problem $4(15$pt$.)$ A pile with square cross$-$sectional area is installed in two normally consolidated clayey soils as shown in Figure $2.$ If the design failed under long term conditions when an axial load$==950kN$ was applied, use the beta$-$method to calculate the value of ${}_R^{\text{'}}.$ Assume both soils have the same ${}_R^{\text{'}}.$ Assume $Q_p=102kN.$