Question $5-7($ANSWER ANY TWO$*)*-$ If you answer $3,$ then best of $2$ will be considered

Q$5.$ A square footing of size $3m3m$ is founded at a depth of $2$ m below the ground surface in a c$-$ soil. The water table is at $3$ m below ground level. Assume the soil above water table to be dry. Determine the allowable load $(Q_{\text{a}\text{l}\text{l}\text{o}\text{w}})$ with a factor of safety $=2\mathrm{.}5?$ Use general bearing capacity equation. Assume general shear failure. $(8$M$)$

Q$6.$ A pile foundation comprised of $20$ piles arranged in $5$ columns and $4$ rows at distances of $90$ cm center to center has to be constructed. The diameter and lengths of the piles are $30$ cm and $9$ m respectively. The pile group passes through a recently constructed fill. The depth of fill is $3$ m $.$ If the soil is cohesive with cohesion as $30k\frac{N}{m^2}$ and unit weight of $15k\frac{N}{m^3}.$ Compute the negative frictional load on the pile group. Consider $=0\mathrm{.}75.(8$M$)$

Q$7.$ A precast concrete pile of $300$ mm diameter and length of $10$ m was driven by a double acting steam hammer of weight $26\mathrm{.}5$ kN dropping from a height of $2\mathrm{.}25$ m $.$ The average penetration recorded in the last $5$ blows was $3\mathrm{.}175m\frac{m}{?}$ blow. Consider coefficient of restitution $=0\mathrm{.}4,$ hammer fall efficiency $=0\mathrm{.}85,$ Total elastic compression of pile cap, pile and soil $=5\mathrm{.}08mm.$ Unit weight of concrete $=24k\frac{N}{m^3},$ Factor of Safety $=6.$ Calculate the allowable load bearing capacity of the pile by Modified Hiley Formula. $(8$M$)$

Question $8-10($ANSWER ANY TWO$*)*-$ If you answer $3,$ then best of $2$ will be considered

Q$8.$ A $4$ m retaining wall is as shown in the figure. Determine the Rankine passive earth pressure distribution on the wall. Also, determine the total passive earth pressure and point of application of total passive earth pressure from the base of the wall. $(12$M$)$