GATE CE topic:infrastructure PYQs & Answers — Page 77 — Exam Papers

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Questions 761–770 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 77 of 130

A combined trapezoidal footing of length

supports two identical square columns (

and

) of size 0.5 m × 0.5 m, as shown in the figure

Diagram for Civil Engineering question 46

. The columns

and

carry loads of 200 kN and 150 kN, respectively. If the stress beneath the footing is uniform, the length of the combined footing

(in m, round off to two decimal places) is

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Numerically integrate,

from lower limit

to upper limit

. Use Trapezoidal rule with five equal subdivisions. The value (in units, round off to two decimal places) obtained is

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An unsupported slope of height 15 m is shown in the figure (not to scale), in which the slope face makes an angle 50° with the horizontal. The slope material comprises purely cohesive soil having undrained cohesion 75 kPa. A trial slip circle KLM, with a radius 25 m, passes through the crest and toe of the slope and it subtends an angle 60° at its center O.

Diagram for Civil Engineering question 47

The weight of the active soil mass (

, bounded by KLMN) is 2500 kN/m, which is acting at a horizontal distance of 10 m from the toe of the slope. Consider the water table to be present at a very large depth from the ground surface. Considering the trial slip circle KLM, the factor of safety against the failure of slope under undrained condition (round off to two decimal places) is

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The void ratio of a clay soil sample M decreased from 0.575 to 0.510 when the applied pressure is increased from 120 kPa to 180 kPa. For the same increment in pressure, the void ratio of another clay soil sample N decreases from 0.600 to 0.550. If the ratio of hydraulic conductivity of sample M to sample N is 0.125, then the ratio of coefficient of consolidation of sample M to sample N (round off to three decimal places) is

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An unlined canal under regime conditions along with a silt factor of 1 has a width of flow 71.25 m. Assuming the unlined canal as a wide channel, the corresponding average depth of flow (in m, round off to two decimal places) in the canal will be

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The hyetograph in the figure corresponds to a rainfall event of 3 cm.

Diagram for Civil Engineering question 48

If the rainfall event has produced a direct runoff of 1.6 cm, the

-index of the event (in mm/hour, round off to one decimal place) would be

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A cylinder (2.0 m diameter, 3.0 m long and 25 kN weight) is acted upon by water on one side and oil (specific gravity = 0.8) on other side as shown in the figure.

The absolute ratio of the net magnitude of vertical forces to the net magnitude of horizontal forces (round off to two decimal places) is ________.

Diagram for Civil Engineering question 49

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A venturimeter as shown in the figure (not to scale) is connected to measure the flow of water in a vertical pipe of 20 cm diameter.

Diagram for Civil Engineering question 49

Assume g = 9.8 m/s

. When the deflection in the mercury manometer is 15 cm, the flow rate (in lps, round off to two decimal places) considering no loss in the venturimeter is

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A tube-well of 20 cm diameter fully penetrates a horizontal, homogeneous and isotropic confined aquifer of infinite horizontal extent. The aquifer is of 30 m uniform thickness. A steady pumping at the rate of 40 litres/s from the well for a long time results in a steady drawdown of 4 m at the well face. The subsurface flow to the well due to pumping is steady, horizontal and Darcian and the radius of influence of the well is 245 m. The hydraulic conductivity of the aquifer (in m/day, round off to integer) is ________.

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A reservoir with a live storage of 300 million cubic metre irrigates 4000 hectares (1 hectare = 10

m

) of a crop with two fillings of the reservoir. If the base period of the crop is 120 days, the duty for this crop (in hectares per cumec, round off to integer) will then be

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