GATE CE branch:ce PYQs & Answers — Page 25 — Exam Papers

Questions 241–250 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 25 of 130

A 6 m × 6 m square footing constructed in clay is subjected to a vertical load of 2500 kN at its centre. The base of the footing is 2 m below the ground surface, as shown in the figure. The footing is made of 2 m thick concrete. The ground water table is at a great depth. Considering Terzaghi’s bearing capacity theory, the factor of safety of footing against the bearing capacity failure is __________ (rounded off to 2 decimal places).

Note:

Unit weight of concrete = 24 kN/m³

Properties of clay: c = 50 kN/m², ϕ = 0°, and γ = 19 kN/m³

For ϕ = 0°: N꜀ = 5.7, Nq = 1, Nγ = 0

Diagram for Civil Engineering question 56

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A designer used plate load test to obtain the value of the bearing capacity factor Nᵧ. A circular plate of 1 m diameter was placed on the surface of a dry sand layer extending very deep beneath the ground. The unit weight of the sand is 16.66 kN/m³. The plate is loaded to failure at a pressure of 150 kPa.

Considering Terzaghi’s bearing capacity theory, the bearing capacity factor Nᵧ is _____ (round off to the nearest integer).

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A clayey soil has a moisture content of 18%, a specific gravity of soil solids of 2.74, and a degree of saturation of 65%. The soil soaks up water during a rain event, and the degree of saturation increases to 85.2%. The change of the volume during the soaking is negligible. The new moisture content (in %) of the soil will be ____________________ (rounded off to 2 decimal places).

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A 4 × 4 group pile, with each pile 20 m long and 500 mm in diameter, is installed in a square pattern in a clay soil, as shown in the figure. The average unconfined compressive strength of the soil is 100 kN/m², and the adhesion factor is 0.8. Neglect the bearing at the tip of the piles. For a group efficiency factor of 1.0, the centre to centre spacing (s) of the piles (in m) would be _____ (round off to two decimal places).

Diagram for Civil Engineering question 57

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A single pile with 450 mm diameter has been driven into a homogeneous clay layer, which has an undrained cohesion (cᵤ) of 20 kPa and unit weight of 18 kN/m³. The ground water table is found to be at the surface of the clay layer. The adhesion factor (α) of the soil is 0.95 and bearing capacity factor (N꜀) is 9. The pile is supporting a column load of 144 kN with a factor of safety of 3.0 against ultimate axial pile capacity in compression.

The required embedment depth of the pile (in m) is _________________ (rounded off to the nearest integer).

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A 60 cm diameter well completely penetrates a confined aquifer of permeability 5 × 10⁻⁴ m/s. The length of the strainer (spanning the entire thickness of the aquifer) is 10 m. The drawdown at the well under steady state pumping is 1.0 m. Assume that the radius of influence for this pumping is 300 m.

The discharge from the well (in litres per minute) is _____ (round off to the nearest integer).

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Two soils of permeabilities k₁ and k₂ are placed in a horizontal flow apparatus, as shown in the figure. For Soil 1, L₁ = 50 cm, and k₁ = 0.055 cm/s; for Soil 2, L₂ = 30 cm, and k₂ = 0.035 cm/s. The cross sectional area of the horizontal pipe is 100 cm², and the head difference (Δh) is 150 cm. The discharge (in cm³/s) through the soils is __________ (rounded off to 2 decimal places).

Diagram for Civil Engineering question 59

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The peak of flood hydrograph due to a 3-hour duration storm in a catchment is 180 m

/s. The total rainfall depth is 6.6 cm. It can be assumed that the average infiltration loss is 0.2 cm/h. There are no other losses. The base flow is constant at a value of 30 m

/s.

The peak value of the 3-hour unit hydrograph for this catchment (in m

/s) is ______ (round off to the nearest integer).

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A hydraulic jump is formed in a 5 m wide rectangular channel, which has a horizontal bed and is carrying a discharge of 15 m³/s. The depth of water upstream of the jump is 0.5 m. The power dissipated by the jump (in kW) is __________ (rounded off to the nearest integer).

Note:

Acceleration due to gravity = 9.81 m/s²

Density of water = 1000 kg/m³

Kinetic energy correction factor = 1.0

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The shaft of a 6 m wide gate in the figure will fail at a moment of 3924 kN.m about the hinge P. The maximum value of water depth h (in m) that the gate can hold is ______________ (round off to the nearest integer).

Note:

Density of water = 1000 kg/m

Acceleration due to gravity = 9.81 m/s

Diagram for Civil Engineering question 60

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