GATE (CE) 2022: SOIL MECHANICS#57

In analysis of an earth embankment using friction circle method, the radius of slip circle is assumed to be 18 m. If the height of the slope is 22m and if ϕ_m = 16˚, c = 24.5 kN/m² and γ = 18.5 kN/m³, then the diameter of friction circle would be

There is a gravity dam lying on a permeable soil with a coefficient of permeability of 40 × 10^–3 mm/s. The head of water is maintained at 32 m upstream and zero at the tail-end. A flow net is constructed which yielded 8 flow channel and 18 equipotential drops. What will be the seepage loss per day through the dam body?

In normally consolidated clay stratum of 3.5 m thickness has two permeable layers at its top and bottom. The liquid limit and initial void ratio of the clay are 42% and 0.92 respectively while the initial overburden pressure at the middle of the clay layer id 2 kg/cm². Due to the construction of new building this pressure increases by 1.2 kg/cm². What is the probable consolidation settlement of the building?

What will be the ultimate bearing capacity (assuming general shear failure) of a strip footing 1.65 m wide resting on a cohesionless soil (ϕ = 32˚, γ = 17.65 kN/m³). Take N_c = 45.4, N_q = 48.7 and N_γ = 28.8.

A 3m thick layer of clay resting on impervious stratum is underlain by a 3m thick layer of sand. The water table was initially at the top of Ground level.

A footing of size 2m × 2m lies at a depth of 1m in the sand layer.

In case of a sudden drawdown, calculate the change in the load on the column required to keep effective stress same at the middle of the clay layer. Assume 2:1 load dispersion.