GATE CE topic:infrastructure PYQs & Answers — Page 90

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Questions 891–900 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 90 of 130

A vertical retaining wall of 5 m height has to support soil having unit weight of 18 kN/m

, effective cohesion of 12 kN/m

and effective friction angle of 30°. As per Rankine’s earth pressure theory and assuming that a tension crack has occurred, the lateral active thrust on the wall per meter length (in kN/m, round off to two decimal places), is _____.

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A footing of size 2 m × 2 m transferring a pressure of 200 kN/m², is placed at a depth of 1.5 m below the ground as shown in the figure (not drawn to scale). The clay stratum is normally consolidated. The clay has specific gravity of 2.65 and compression index of 0.3.

Diagram for Civil Engineering question 46

Considering 2:1 (vertical to horizontal) method of load distribution and γw = 10 kN/m³, the primary consolidation settlement (in mm, round off to two decimal places) of the clay layer is _____.

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Water flows in the upward direction in a tank through 2.5 m thick sand layer as shown in the figure. The void ratio and specific gravity of sand are 0.58 and 2.7, respectively. The sand is fully saturated. Unit weight of water is 10 kN/m

Diagram for Civil Engineering question 47

The effective stress (in kPa, round off to two decimal places) at point A, located 1 m above the base of tank, is _____.

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A constant-head permeability test was conducted on a soil specimen under a hydraulic gradient of 2.5. The soil specimen has specific gravity of 2.65 and saturated water content of 20%. If the coefficient of permeability of the soil is 0.1 cm/s, the seepage velocity (in cm/s, round off to two decimal places) through the soil specimen is _____.

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A 10 m thick clay layer is resting over a 3 m thick sand layer and is submerged. A fill of 2 m thick sand with unit weight of 20 kN/m

is placed above the clay layer to accelerate the rate of consolidation of the clay layer. Coefficient of consolidation of clay is

/year and coefficient of volume compressibility of clay is

/kN. Assume Taylor’s relation between time factor and average degree of consolidation.

Diagram for Civil Engineering question 48

The settlement (in mm, round off to two decimal places) of the clay layer, 10 years after the construction of the fill, is _____.

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A 5 m high vertical wall has a saturated clay backfill. The saturated unit weight and cohesion of clay are 18 kN/m³ and 20 kPa, respectively. The angle of internal friction of clay is zero. In order to prevent development of tension zone, the height of the wall is required to be increased. Dry sand is used as backfill above the clay for the increased portion of the wall. The unit weight and angle of internal friction of sand are 16 kN/m³ and 30°, respectively. Assume that the back of the wall is smooth and top of the backfill is horizontal. To prevent the development of tension zone, the minimum height (in m, round off to one decimal place) by which the wall has to be raised, is _____.

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Three reservoirs P, Q, and R are interconnected by pipes as shown in the figure (not drawn to the scale). Piezometric head at the junction S of the pipes is 100 m. Assume acceleration due to gravity as 9.81 m/s

and density of water as 1000 kg/m

. The length of the pipe from junction S to the inlet of reservoir R is 180 m.

Diagram for Civil Engineering question 49

Considering head loss only due to friction (with friction factor of 0.03 for all the pipes), the height of water level in the lowermost reservoir (in m, round off to one decimal place) with respect to the datum, is _____.

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A cast iron pipe of diameter 600 mm and length 400 m carries water from a tank and discharges freely into air at a point 4.5 m below the water surface in the tank. The friction factor of the pipe is 0.018. Consider acceleration due to gravity as 9.81 m/s². The velocity of the flow in pipe (in m/s, round off to two decimal places) is _____.

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In a homogeneous unconfined aquifer of area 3.00 km

, the water table was at an elevation of 102.0 m. After a natural recharge of volume 0.90 million cubic meter (Mm

), the water table rose to 103.20 m. After this recharge, ground water pumping took place and the water table dropped down to 101.20 m. The volume of ground water pumped after the natural recharge, expressed (in Mm

and round off to two decimal places), is _____.

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A hydraulic jump occurs in a triangular (V-shaped) channel with side slopes 1:1 (vertical to horizontal). The sequent depths are 0.5 m and 1.5 m. The flow rate (in m³/s, round off to two decimal places) in the channel is _____.

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GATE CE topic:infrastructure PYQs

Question 46

Question 46

Question 47

Question 47

Question 48

Question 48

Question 49

Question 49

Question 50

Question 50