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GATE CE Soil Mechanics & Foundation Engineering: National Champion Test

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Question 1

Root time method is used to determine

Question 2

The e–lop p curve shown in the figure is representative of

Question 3

The ratio of saturated unit weight to dry unit weight of a soil is 1.25. If the specific gravity of solids (G ­g ­) is 2.56, the void ratio of the soil is

Question 4

At a reclamation site for which the soil strata is shown in figure, a 3m thick layer of a fill material is to be laid instantaneously on the top surface. If the coefficient of volume compressibility, mv for clay is 2.2 × 10-4 m2/kN, the consolidation settlement of the clay layer due to placing of fill material will be

Question 5

Using Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\Civil Engg\Civil Engineeing-04-Apr\Civil-Engineering-2004_files\image192.png analysis and assuming planar failure as shown, the minimum factor of safety against shear failure of a vertical cut of height 4 m in a pure clay having cn = 120– kN/m2 and gsat = 20 kN/m3 is
failure plane

Question 6

A clay soil sample is tested in triaxial apparatus in consolidated-drained conditions at a cell pressure of 100 kN/m2 .What will be the pore water pressure at a deviator stress of 40kN/m?

Question 7

The liquid limit (LL), plastic limit (PL) and shrinkage limit (SL) of a cohesive soil satisfy the relation

Question 8

Quick sand condition occurs when

Question 9

An open-ended steel barrel of 1 m height and 1 m diameter is filled with saturated fine sand having a coefficient of permeability of 10–2 m/s. The barrel stands on a saturated bed of gravel. The time required for the water level in the barrel to drop by 0.75 m is

Question 10

In its natural condition, a soil sample has a mass of 1.980 kg and a volume of 0.001 m3. After being completely dried in an oven, the mass of the sample is 1.800 kg. Specific gravity G is 2.7. Unit weight of water is 10 kN/m3. The degree of saturation of the soil is:

Question 11

In the context of collecting undisturbed soil samples of high quality using a spoon sampler, following statements are made.
(I) Area ratio should be less than 10%
(II) Clearance ratio should be less than 1%
Where reference to above statement, which of the following applies?

Question 12

The soil profile below a lake with water level at elevation = 0 m and lake bottom at elevation = –10 m is shown in the figure, where k is the permeability coefficient. A piezometer (stand pipe) installed in the sand layer shows a reading of +10 m elevation. Assume that the piezometric head is uniform in the sand layer. The quantity of water (in m3/s) flowing into the lake from the sand layer through the silt layer per unit area of the lake bed is:
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\Civil-Engineering-2013_files\image124.jpg

Question 13

Two soil specimens with identical geometric dimensions were subjected to falling head permeability tests in the laboratory under identical conditions. The fall of water head was measured after an identical time interval. The ratio of initial to final water heads for the test involving the first specimen was 1.25. If the coefficient of permeability of the second specimen is 5–times that of the first, the ratio of initial to final water heads in the test involving the second specimen is

Question 14

The flow net constructed for the dam is shown in the figure below. Taking the coefficient of permeability as 3.8 × 10–6 m/s, the quantity of flow (in cm3/s) under the dam per meter of dam is __________

Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\Civil-Engineering-2014_files\image227.jpg

Question 15

A double draining clay layer, 6 m thick, settles by 30 mm in three years under the influence of a certain loads. Its final consolidation settlement has been estimated to be 120 mm. If a think layer of sand having negligible thickness is introduced at a depth of 1.5m, below the top surface, the final consolidation settlement of clay layer will be

Question 16

A given cohesionless soil has emax = 0.85 and emin = 0.50. In the field, the soil is compacted to a mass density of 1800 kg/m3 at a water content of 8%. Take the mass density of water as 1000 kg/m3 and Gs as 2.7. The relative density (in %) of the soil is

Question 17

The moisture content of soil in the root zone of an agricultural crop at certain stage is found to be 0.05. The field capacity of the soil is 0.15. The root zone depth is 1.1 m. The consumptive use of crop at this stage is 2.5 mm/day and there is no precipitation during this period. Irrigation efficiency is 65%. It is intended to raise the moisture content to the field capacity in 8 days through irrigation. The necessary depth of irrigation is (γd = 1.5)

Question 18

The soil profile above the rock surface for a 25 ° infinite slope is shown in the figure, where su is the undrained shear strength and gt is total unit weight. The slip will occur at a depth of
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\Civil-Engineering-2013_files\image130.jpg

Question 19

For two infinite slopes (one in dry condition and other in submerged condition) in a sand deposit having the angle of shearing resistance 30 °, factor of safety was determined as 1.5 (for both slopes). The slope angles would have been

Question 20

The vertical stress at point P1 due to the point load Q on the ground surface as shown in figure is . According to Boussinesq’s equation, the vertical stress at point P2 shown in figure will be

Question 21

The vertical stress at some depth below the corner of a 2m x 3m rectangular footing due to a certain load intensity is 100 kN / m2 below the centre of a 4m x 6m rectangular footing at the same depth and same load intensity?

Question 22

The figure given below represents the contact pressure distribution underneath a
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\Civil Engg\Civil Engineeing-04-Apr\Civil-Engineering-2004_files\image181.jpg

Question 23

A 3m high retaining wall is supporting a saturated sand (saturated due to capillary action) of bulk density 18 kN/m2 and angle of shearing resistance 30 °. The change in magnitude of active earth pressure at the base due to rise in ground water table from the base of the footing to the ground surface shall (gw = l0kN/m3 )

Question 24

The bearing capacity of a rectangular footing of plan dimensions 1.5m x 3m 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 3m, 1.5m and 0.5m below the base of the footing are

Question 25

Match the information given in Group–I with those in Group–II

Group – I
P. Factor to decrease ultimate strength to design strength
Q. Factor to increase working load to ultimate load from design
R. Statical method of ultimate load analysis
S. Kinemtical mechanism method of ultimate load analysis
Group – II
1. Upper bound on ultimate load
2. Lower bound on ultimate load
3. Material partial safety factor
4. Load factor
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Oct 23ESE & GATE CE