A $6 \mathrm{~m} \times 6 \mathrm{~m}$ square footing constructed in clay is subjected to a vertical load of 2500 kN at its centre. The base of the footing is 2 m below the ground surface, as shown in the figure. The footing is made of 2 m thick concrete. The ground water table is at a great depth. Considering Terzaghi's bearing capacity theory, the factor of safety of footing against the bearing capacity failure is _________ (rounded off to 2 decimal places). Note:
Unit of concrete $=24 \mathrm{kN} / \mathrm{m}^3$
Properties of clay: $c=50 \mathrm{kN} / \mathrm{m}^3, \phi=0^{\circ}$, and $\gamma=19 \mathrm{kN} / \mathrm{m}^3$
For $\phi=0^{\circ}: N_c=5.7, N_q=1, N_\gamma=0$
A square footing is to be designed to carry a column load of 500 kN which is resting on a soil stratum having the following average properties: bulk unit weight = 19 kN/m3; angle of internal friction = 0° and cohesion = 25 kPa. Considering the depth of the footing as 1 m and adopting Meyerhof’s bearing capacity theory with a factor of safety of 3, the width of the footing (in m) is _________ (round off to one decimal place)
[Assume the applicable shape and depth factor values as unity; ground water level at greater depth.]
A circular pile of diameter 0.6 m and length 8 m was constructed in a cohesive soil stratum having the following properties: bulk unit weight = 19 kN/m3; angle of internal friction = 0° and cohesion = 25 kPa.
The allowable load the pile can carry with a factor of safety of 3 is __________ kN (round off to one decimal place).
[Adopt: Adhesion factor, α = 1.0 and Bearing capacity factor, Nc = 9.0]
For the flow setup shown in the figure (not to scale), the hydraulic conductivities of the two soil samples, Soil 1 and Soil 2, are 10 mm/s and 1 mm/s, respectively. Assume the unit weight of water as 10 kN/m3 and ignore the velocity head. At steady state, what is the total head (in m, rounded off to two decimal places) at any point located at the junction of the two samples? _____
