GATE CE topic:civil-engineering PYQs & Answers — Page 51

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Questions 501–510 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 51 of 130

A soil having the average properties, bulk unit weight = 19 kN/m

; angle of internal friction = 25° and cohesion = 15 kPa, is being formed on a rock slope existing at an inclination of 35° with the horizontal. The critical height (in m) of the soil formation up to which it would be stable without any failure is ______ (round off to one decimal place).

[Assume the soil is being formed parallel to the rock beding plane and there is no ground water effect.]

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A 2D thin plate with modulus of elasticity,

N/m

, and Poisson’s ratio,

, is in plane stress condition. The displacement field in the plate is given by

and

, where

and

are displacements (in m) along the

and

directions, respectively, and

is a constant (in m

). The distances x and y along

and

, respectively, are in m. The stress in the

direction is

N/m

, and the shear stress is

N/m

. What is the value of

(in N/m

, in integer)? ____________

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A smooth vertical retaining wall supporting layered soils is shown in figure. According to Rankine’s earth pressure theory, the lateral active earth pressure acting at the base of the wall is ______ kPa (round off to one decimal place).

Diagram for Civil Engineering question 57

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An idealised frame supports a load as shown in the figure. The horizontal component of the force transferred from the horizontal member PQ to the vertical member RS at P is ______ N (round off to one decimal place).

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A vertical trench is excavated in a clayey soil deposit having a surcharge load of 30 kPa. A fluid of unit weight 12 kN/m

is poured in the trench to prevent collapse as the excavation proceeds. Assume that the fluid is not seeping through the soil deposit. If the undrained cohesion of the clay deposit is 20 kPa and saturated unit weight is 18 kN/m

, what is the maximum depth of unsupported excavation (in m, rounded off to two decimal places)?

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A square footing is to be designed to carry a column load of 500 kN which is resting on a soil stratum having the following average properties: bulk unit weight = 19 kN/m

; angle of internal friction = 0° and cohesion = 25 kPa. Considering the depth of the footing as 1 m and adopting Meyerhof’s bearing capacity theory with a factor of safety of 3, the width of the footing (in m) is __________________ (round off to one decimal place)

[Assume the applicable shape and depth factor values as unity; ground water level at greater depth.]

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A 12-hour storm occurs over a catchment and results in a direct runoff depth of 100 mm. The time-distribution of the rainfall intensity is shown in the figure (not to scale). The

-index of the storm is (in mm, rounded off to two decimal places) ____________________.

Diagram for Civil Engineering question 59

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A circular pile of diameter 0.6 m and length 8 m was constructed in a cohesive soil stratum having the following properties: bulk unit weight = 19 kN/m

; angle of internal friction = 0° and cohesion = 25 kPa.

The allowable load the pile can carry with a factor of safety of 3 is ________________ kN (round off to one decimal place).

[Adopt: Adhesion factor,

= 1.0 and Bearing capacity factor,

= 9.0]

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A hydraulic jump occurs in a 1.0 m wide horizontal, frictionless, rectangular channel, with a pre-jump depth of 0.2 m and a post-jump depth of 1.0 m. The value of g may be taken as 10 m/s

. The values of the specific force at the pre-jump and post-jump sections are same and are equal to (in m

, rounded off to two decimal places) ____________ .

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For the flow setup shown in the figure (not to scale), the hydraulic conductivities of the two soil samples, Soil 1 and Soil 2, are 10 m/s and 1 mm/s, respectively. Assume the unit weight of water as 10 kN/m

and ignore the velocity head. At steady state, what is the total head (in m, rounded off to two decimal places) at any point located at the junction of the two samples? __________________________

Diagram for Civil Engineering question 60

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GATE CE topic:civil-engineering PYQs

Question 56

Question 56

Question 57

Question 57

Question 58

Question 58

Question 59

Question 59

Question 60

Question 60