(Solved): A 30 -m-long concrete pile is \( 305 \times 305 \mathrm{~mm} \) in cross section and is fully embe ...

A 30 -m-long concrete pile is \( 305 \times 305 \mathrm{~mm} \) in cross section and is fully embedded in a sand deposit. If \( n_{h}=9200 \mathrm{kN} / \mathrm{m}^{2} \), the moment at ground level, \( M_{g}=0 \), the allowable displacement of pile head \( =12 \mathrm{~mm} ; E_{p}=21 \mathrm{x} \) \( 10^{6} \mathrm{kN} / \mathrm{m}^{2} \); and the yield stress of pile material \( F_{Y} \) (pile) \( =21,000 \mathrm{kN} / \mathrm{m}^{2} \), calculate the allowable lateral load, \( Q_{g} \), at the ground level. Use the elastic solution method.