The water content of a saturated soil and the specific gravity of soil solids were found to be 30% and 2.70 respectively. Assuming the unit weight of water to be 10 kN/m³, the saturated unit weight (kN/m³) and the void ratio of the soil are

Sieve analysis on a dry soil sample of mass 1000 g showed that 980 g and 270 g of soil pass through 4.75 mm and 0.075 mm sieve respectively. The liquid limit and plastic limits of the soil fraction passing through 425^_$\mu$ sieves are 40% and 18% respectively. The soil may be classified as

The factor of safety of an infinite soil slope shown in the figure having the properties c = 0, ^{_{$\phi$ =}} 35⁰ = ^{$\gamma_{dry}$} = 16 kN/m³ and ^{$\gamma_{sat}$} = 20 kN/m³ is approximately equal to

What is the ultimate capacity in kN of the pile group shown in the figure assuming the group to fail as a single block?

The bearing capacity of a rectangular footing of plan dimensions 1.5 m ^_x 3 m resting on the surface of a sand deposit was estimated as 600 kN/m² when the water table is far below the base of the footing. The bearing capacities in kN/m² when the water level rises to depths of 3 m, 1.5 m and 0.5 m below the base of the footing are

Match the following groups:

A pile of 0.50 m diameter and length 10 m is embedded in a deposit of clay. The undrained strength parameters of the clay are cohesion = 60 kN/m² and the angle in internal friction = 0. The skin friction capacity (kN) of the pile for an adhesion factor of 0.6, is

A footing 2 m x 1 m exerts a uniform pressure of 150 kN/mm² on the soil. Assuming a load dispersion of 2 vertical to 1 horizontal, the average vertical stress (kN/m²) at 1.0 m below the footing is

A saturated clay stratum draining both at the top and bottom undergoes 50 percent consolidation in 16 years under an applied load. If an additional drainage layer were present at the middle of the clay stratum, 50 percent consolidation would occur in

A test plate 30 cm x 30 cm resting on a sand deposit settles by 10 mm under a certain loading intensity. A footing 150 cm x 200 cm resting on the same sand deposit and loaded to the same load intensity settles by

A volume of 3.0 x 10⁶ m³ of groundwater was pumped out from an unconfined aquifer, uniformly from an area of 5 km². The pumping lowered the water table from initial level of 102 m to 99 m. The specific yield of the aquifer is

The ground conditions at a site are shown in the figure below.

The total stress, pore water pressure and effective stress (kN/m²) at the point P are, respectively

A column is supported on a footing as shown in the figure below. The water table is at a depth of 10 m below the base of the footing.

The net ultimate bearing capacity (kN/m²) of the footing based on Terzaghi’s bearing capacity equation is

A direct shear test was conducted on a cohesion-less soil (c = 0) specimen under a normal stress of 200 kN/m². The specimen failed at a shear stress of 100 kN/m². The angle of internal friction of the soil (degrees) is

The ground conditions at a site are shown in the figure below.

The saturated unit weight of the sand (kN/m³) is

To provide safety against piping failure, with a factor of safety of 5, what should be he maximum permissible exit gradient for soil with specific gravity of 2.5 and porosity of 0.35 ?

For steady flow to a fully penetrating well in a confined acquifer, the drawdowns at radial distances of r₁ and r₂ from the well have been measured as s₁ and s₂ respectively, for a pumping rate of Q. The transmissivity of the aquifer is equal to

Figure given below shows a smooth vertical gravity retaining wall with cohesionless soil backfill having an angle of internal friction $\phi$ In the graphical representation of Rankine’s active earth pressure for the retaining wall shown in figure, length OP represents

The range of void ratio between which quick sand conditions occurs in cohesion less granular soil deposits is