Civil Engineering
GATE CE branch:ce PYQs
Build your understanding with focused practice from past exam papers.
Questions 1121–1130 of 1300. Imported answers require independent review unless marked reviewed.
Question 31
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A 0.5 m × 0.5 m square concrete pile is to be driven in a homogeneous clay soil having undrained shear strength,
kPa and unit weight,
kN/m
. The design capacity of the pile is 500 kN. The adhesion factor
is given as 0.75. The length of the pile required for the above design load with a factor of safety of 2.0 isYour answerChoose one option.
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A single-reinforced rectangular concrete beam of width 300 mm and effective depth 400 mm is to be designed using M25 grade concrete and Fe500 grade reinforcing steel. For the beam to be under-reinforced, the maximum number of 16 mm diameter reinforcing bar that can be provided is
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A closed tank contains 0.5 m thick layer of mercury (specific gravity = 13.6) at the bottom. A 2.0 m thick layer of water lies above the mercury layer. A 3.0 m thick layer of oil (specific gravity = 0.6) lies above the water layer. The space above the oil layer contains air under pressure. The gauge pressure at the bottom of the tank is 196.2 kN/m
. The density of water is 1000 kg/m
and the acceleration due to gravity is 9.81 m/s
. The value of pressure in the air space isYour answerChoose one option.
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A 3 m high vertical earth retaining wall retains a dry granular backfill with angle of internal friction of 30° and unit weight of 20 kN/m
. If the wall is prevented from yielding (no movement), the total horizontal thrust (in kN per unit length) on the wall isYour answerChoose one option.
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A rapid sand filter comprising a number of filter beds is required to produce 99 MLD of potable water. Consider water loss during backwashing as 5%, rate of filtration as 6.0 m/h and length to width ratio of filter bed as 1.35. The width of each filter bed is to be kept equal to 5.2 m. One additional filter bed is to be provided to take care of break-down, repair and maintenance. The total number of filter beds required will be
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Three soil specimens (Soil 1, Soil 2 and Soil 3), each 150 mm long and 100 mm diameter, are placed in series in a constant head flow set-up as shown in the figure. Suitable screens are provided at the boundaries of the specimens to keep them intact. The values of coefficient of permeability of Soil 1, Soil 2 and Soil 3 are 0.01, 0.003 and 0.03 cm/s, respectively.

The value of h in the set-up is
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A priority intersection has a single-lane one-way traffic road crossing an undivided two-lane two-way traffic road. The traffic speed on the single-lane road is 20 kmph and the speed on the two-lane road is 50 kmph. The perception-reaction time is 2.5 s, coefficient of longitudinal friction is 0.38 and acceleration due to gravity is 9.81 m/s
. A clear sight triangle has to be ensured at this intersection. The minimum lengths of the sides of the sight triangle along the two-lane road and the single-lane road, respectively will beYour answerChoose one option.
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In a 5 m wide rectangular channel, the velocity
distribution in the vertical direction
is given by
. The distance
is measured from the channel bed. If the flow depth is 2 m, the discharge per unit width of the channel isYour answerChoose one option.
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The following details refer to a closed traverse:
Line | Northing (m) | Southing (m) | Easting (m) | Westing (m) |
|---|---|---|---|---|
PQ | --- | 437 | 173 | --- |
QR | 101 | --- | 558 | --- |
RS | 419 | --- | --- | 96 |
SP | --- | 83 | --- | 634 |
The length and direction (whole circle bearing) of closure, respectively are
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A car follows a slow moving truck (traveling at a speed of 10 m/s) on a two-lane two-way highway. The car reduces its speed to 10 m/s and follows the truck maintaining a distance of 16 m from the truck. On finding a clear gap in the opposing traffic stream, the car accelerates at an average rate of 4 m/s
, overtakes the truck and returns to its original lane. When it returns to its original lane, the distance between the car and the truck is 16 m. The total distance covered by the car during this period (from the time it leaves its lane and subsequently returns to its lane after overtaking) isYour answerChoose one option.
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