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GATE2021 Geotech. Rapid Quiz 3 (App update required to attempt this test)

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Question 1

A laboratory vane shear test apparatus is used to determine the shear strength of a clay sample and only one end of the vane takes part in shearing the soil. If T = applied torque, H = height of vane and D = diameter of the vane, then the shear strength of the clay is given by

Question 2

A cut is to be made in clay for which the cohesion is 35 kN/m2 and = 0 °. The density of the soil is 20 kN/m3. The maximum depth for a cut of side slope 1.5 to 1.0, if the factor of safety is to be 1.5, is __________m.
[Take Taylor’s stability number, Sn = 0.17]

Question 3

A building has to be supported on raft of 15m * 20m. The subsoil is clay which has unconfined compressive strength of 18 kN/m2. The gross pressure on soil due to weight of building and live loads is 150 kN/m2. The depth of foundation for a factor of safety of 3 against shear is . γ= 18 kN/m2

Question 4

A soil is 10m thick with pervious strata at top and bottom. the time required for 50% consolidation is

Given: , void ratio = 2, time factor 0.197
Symbols have their usual meaning.

Question 5

In a experiment for the determination of the shrinkage limit the following observation were taken.
Volume of saturated soil = 9.75ml
Mass of saturated soil=16.5gm
Volume of dry soil after shrinkage =5.4ml
Mass of dry soil after shrinkage = 10.9gm
Then shrinkage limit of the sample was.

Question 6

A retaining wall 6 m high has a smooth vertical back. The backfill has a horizontal surface in level with the top of the wall. There is uniformly distributed surcharge load of 36 kN/m2 over the backfill. The unit weight of backfill soil is 18 kN/m3; its angle of shearing resistance is 30 ° and cohesion is zero, then the magnitude of active pressure per m length of wall (in kN/m2) and point of application (in m) above the base of wall are respectively
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