Civil Engineering
GATE CE format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 241–250 of 495. Imported answers require independent review unless marked reviewed.
Question 22
Open questionCENAT1 markNeeds review
A truss EFGH is shown in the figure, in which all the members have the same axial rigidity
. In the figure,
is the magnitude of external horizontal forces acting at joints F and G. 
If
kN,
kN and
m, the magnitude of the horizontal displacement of joint G (in mm, round off to one decimal place) is ______.Log in to check the answer
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Open questionCENAT1 markNeeds review
A 12-hour unit hydrograph (of 1 cm excess rainfall) of a catchment is of a triangular shape with a base width of 144 hour and a peak discharge of 23 m
/s. The area of the catchment (in km
, round off to the nearest integer) isLog in to check the answer
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Open questionCENAT1 markNeeds review
The cohesion (
), angle of internal friction (
) and unit weight (
) of a soil are 15 kPa, 20° and 17.5 kN/m³, respectively. The maximum depth of unsupported excavation in the soil (in m, round off to two decimal places) is ______.Log in to check the answer
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Open questionCENAT1 markNeeds review
A lake has a maximum depth of 60 m. If the mean atmospheric pressure in the lake region is 91 kPa and the unit weight of the lake water is 9790 N/m
, the absolute pressure (in kPa, round off to two decimal places) at the maximum depth of the lake isLog in to check the answer
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Open questionCENAT1 markNeeds review
Two reservoirs are connected through a homogeneous and isotropic aquifer having hydraulic conductivity (
) of 25 m/day and effective porosity (
) of 0.3 as shown in the figure (not to scale). Ground water is flowing in the aquifer at the steady state. 
If water in Reservoir 1 is contaminated then the time (in days, round off to one decimal place) taken by the contaminated water to reach to Reservoir 2 will be ______.
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Open questionCENAT1 markNeeds review
In a three-phase signal system design for a four-leg intersection, the critical flow ratios for each phase are 0.18, 0.32, and 0.22. The total loss time in each of the phases is 2 s. As per Webster’s formula, the optimal cycle length (in s, round off to the nearest integer) is
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Open questionCENAT1 markNeeds review
A signalized intersection operates in two phases. The lost time is 3 seconds per phase. The maximum ratios of approach flow to saturation flow for the two phases are 0.37 and 0.40. The optimum cycle length using the Webster’s method (in seconds, round off to one decimal place) is ______.
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Open questionCENAT1 markNeeds review
A horizontal angle θ is measured by four different surveyors multiple times and the values reported are given below.\n\n| Surveyor | Angle θ | Number of observations |\n|---|---|---|\n| 1 | 36°30′ | 4 |\n| 2 | 36°00′ | 3 |\n| 3 | 35°30′ | 8 |\n| 4 | 36°30′ | 4 |\n\nThe most probable value of the angle θ (in degree, round off to two decimal places) is
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Open questionCENAT2 marksNeeds review
The values of abscissa (
) and ordinate (
) of a curve are as follows: | |
|---|---|
2.0 | 5.00 |
2.5 | 7.25 |
3.0 | 10.00 |
3.5 | 13.25 |
4.0 | 17.00 |
By Simpson’s 1/3rd rule, the area under the curve (round off to two decimal places) is ________
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Open questionCENAT2 marksNeeds review
A function is defined in Cartesian coordinate system as
. The value of the directional derivative of the function (in integer) at the point (2, 0) along the direction of the straight line segment from point (2, 0) to point
isLog in to check the answer
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