GATE CE format:nat PYQs & Answers — Page 43 — Exam Papers

Questions 421–430 of 495. Imported answers require independent review unless marked reviewed.

Topic practice 495 questionsPage 43 of 50

At a construction site, a contractor plans to make an excavation as shown in the figure.

Diagram for Civil Engineering question 44

The water level in the adjacent river is at an elevation of +20.0 m. Unit weight of water is 10 kN/m³. The factor of safety (up to two decimal places) against sand boiling for the proposed excavation is _____

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The total horizontal and vertical stresses at a point X in a saturated sandy medium are 170 kPa and 300 kPa, respectively. The static pore-water pressure is 30 kPa. At failure, the excess pore-water pressure is measured to be 94.50 kPa, and the shear stresses on the vertical and horizontal planes passing through the point X are zero. Effective cohesion is 0 kPa and effective angle of internal friction is 36°. The shear strength (in kPa, up to two decimal places) at point X is ______

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A conventional drained triaxial compression test was conducted on a normally consolidated clay sample under an effective confining pressure of 200 kPa. The deviator stress at failure was found to be 400 kPa. An identical specimen of the same clay sample is isotropically consolidated to a confining pressure of 200 kPa and subjected to standard undrained triaxial compression test. If the deviator stress at failure is 150 kPa, the pore pressure developed (in kPa, up to one decimal place) is _____

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A group of nine piles in a 3 × 3 square pattern is embedded in a soil strata comprising dense sand underlying recently filled clay layer, as shown in the figure. The perimeter of an individual pile is 126 cm. The size of pile group is 240 cm × 240 cm. The recently filled clay has undrained shear strength of 15 kPa and unit weight of 16 kN/m³.

Diagram for Civil Engineering question 45

The negative frictional load (in kN, up to two decimal places) acting on the pile group is ______

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The void ratio of a soil is 0.55 at an effective normal stress of 140 kPa. The compression index of the soil is 0.25. In order to reduce the void ratio to 0.4, an increase in the magnitude of effective normal stress (in kPa, up to one decimal place) should be _____

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A three-fluid system (immiscible) is connected to a vacuum pump. The specific gravity values of the fluids (S₁, S₂) are given in the figure.

Diagram for Civil Engineering question 46

The gauge pressure value (in kN/m², up to two decimal places) of p₁ is ______

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A rigid smooth retaining wall of height 7 m with vertical backface retains saturated clay as backfill. The saturated unit weight and undrained cohesion of the backfill are 17.2 kN/m³ and 20 kPa, respectively. The difference in the active lateral forces on the wall (in kN per meter length of wall, up to two decimal places), before and after the occurrence of tension cracks is _____

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The total rainfall in a catchment of area 1000 km², during a 6 h storm, is 19 cm. The surface run off due to this storm computed from triangular direct runoff hydrograph is 1×10^8 m³. The ϕ_index for this storm (in cm/h, up to one decimal place) is ______

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Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below

Rain Gauge Number	1	2	3	4	5	6
Rainfall Depth (mm)	470	465	435	525	480	510
Area of Thiessen Polygon (×10⁴ m²)	95	100	98	80	85	92

The Thiessen mean value (in mm, up to one decimal place) of the rainfall is _____

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A rough pipe of 0.5 m diameter, 300 m length and roughness height of 0.25 mm carries water (kinematic viscosity = 0.9×10⁻⁶ m²/s) with velocity of 3 m/s. Friction factor (f) for laminar flow is given by f = 64/Re, and for turbulent flow it is given by

, where, Re = Reynolds number, r = radius of pipe, k = roughness height and g = 9.81 m/s². The head loss (in m, up to three decimal places) in the pipe due to friction is ______

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