GATE CE 2023 Paper 1 — page 20

Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.

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 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 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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2023 · Paper 1

Question 58

Question 59

Question 60