GATE 2022 Rapid Revision Quiz 10

A vertical wall 7m high retaining a horizontal sand backfill. Unit weight and poison ration are

and . The total thrust at rest on vertical wall is _______ kN/m?

A cylindrical specimen of saturated clay, 4 cm in diameter and 9 cm in overall length is tested in an unconfined compression test and the change in length of specimen at failure is 1 cm. The shear strength of clay, if the specimen fails under an axial load of 465 N, is _____ kPa.

A clay layer 6 m thick is lying on an impervious stratum and overlain by a sand layer 4 m thick. The properties of sand and clay layer are listed below:

For sand layer:

Dry unit weight = 14.65 kN/m³

Saturated unit weight = 19.5 kN/m³

For clay layer:

Saturated unit weight = 18.45 kN/m³

Natural void ratio = 0.54

Compression index = 0.045

Coefficient of consolidation = 0.64 m²/yr

The water table is 1m below the ground level and the soil above it is completely dry.

Determine the ultimate settlement of clay layer due to a surcharge of intensity 165 kN/m². Also, determine the time taken to reach 50% of ultimate settlement?

Two identical soil specimens were tested in a triaxial apparatus. 1st specimen failed at a deviator stress of 770 kN/m², when confining pressure was 200 kN/m², 2nd specimen failed at a deviator stress of under a confining pressure of 400 kN/m².
If the same soil is tested in a direct shear test apparatus and the normal stress is Then the shear stress at failure is?

The resultant cuts the base of a circular column of diameter ‘d’ with an eccentricity equal to the ratio of maximum stress to minimum stress.

The data obtained from a rectangular strain gauge rosette attached to a stressed steel member are.

ε₀ = – 220 × 10^–6, ε₄₅ = 160 × 10^–6 and ε_90° = +220 ×10^–6

If modulus of elasticity of material is 2 × 10⁵ MPa and poison’s ratio is 0.3, then the magnitude of principal strain is …………. ×10^–6 (Round off to 2 decimal places)

Two soil profile are used as backfill behind a retaining wall as shown in the figure, where is total unit weight and c’ & are effective shear parameters. Find the resultant active thrust acting on the wall in kN/m