(a) A 0.6 m diameter free-headed pile is to be driven vertically into dry sand with unit weight 17 kN/m" and ultimate angle of shearing resistance 30. The pile s to be installed to 9 m depth and horizontal load is to be applied at the top of the pile, which is 0.6 m above ground level. ) Using design charts, show that the piles tall by toming one hinge, and calculate the lateral capacity of the pileif the pile has a fully plastic moment of 1400 kNm. {6.5 Marks design chart. (ii) By considering equilibrium ot the plle aDove une plastic hinge at failure, calculate exactly the lateral capacity of the pile, and nence verity the prediction made by the {6.5 Marks (ii) Calculate the axial capacity of the pile if the pile-soil angle of friction is 20, th relative density of the sand D, = 75Y0 and the lateral earth pressure coefficient K car be assumed to be 1.2 at all depths. Hence calculate the maximum total load capacity {7.0 Marks} of the pile.