GATE CE format:nat PYQs & Answers — Page 39

Questions 381–390 of 495. Imported answers require independent review unless marked reviewed.

Topic practice 495 questionsPage 39 of 50

The ordinates,

, of a 2-hour unit hydrograph (i.e., for 1 cm of effective rain), for a catchment are shown in the table.

(hour)	0	1	2	3	4	5	6	7	8	9	10	11	12
( )	0	2	8	18	32	45	30	19	12	7	3	1	0

A 6-hour storm occurs over the catchment such that the effective rainfall intensity is 1 cm/hour for the first two hours, zero for the next two hours, and 0.5 cm/hour for the last two hours. If the base flow is constant at 5

, the peak flow due to this storm (in

, round off to 1 decimal place) will be ________

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Consider a laminar flow in the

-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocity of 1

in the

-direction. The distance between the plates is 5

and the dynamic viscosity of the fluid is 0.01

. If the shear stress on the lower plate is zero, the pressure gradient,

, (in

per

, round off to 1 decimal place) is ________.

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The dimensions of a soil sampler are given in the table.

Parameter	Cutting edge	Sampling tube
Inside diameter (mm)	80	86
Outside diameter (mm)	100	90

For this sample, the outside clearance ratio (in percent, round off to 2 decimal places) is ________

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A reinforced concrete circular pile of 12

length and 0.6

diameter is embedded in stiff clay which has an undrained unit cohesion of 110

. The adhesion factor is 0.5. The Net Ultimate Pullout (uplift) Load for the pile (in

, round off to 1 decimal place) is ________.

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A 2 m × 4 m rectangular footing has to carry a uniformly distributed load of 120 kPa. As per the 2:1 dispersion method of stress distribution, the increment in vertical stress (in kPa) at a depth of 2 m below the footing is ________

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A granular soil has a saturated unit weight of 20

and an effective angle of shearing resistance of 30°. The unit weight of water is 9.81

. A slope is to be made on this soil deposit in which the seepage occurs parallel to the slope up to the free surface. Under this seepage condition for a factor of safety of 1.5, the safe slope angle (in degree, round off to 1 decimal place) would be ________.

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Constant head permeability tests were performed on two soil specimens, S1 and S2. The ratio of height of the two specimens (Lₛ₁:Lₛ₂) is 1.5, the ratio of the diameter of specimens (Dₛ₁:Dₛ₂) is 0.5, and the ratio of the constant head (hₛ₁:hₛ₂) applied on the specimens is 2.0. If the discharge from both the specimens is equal, the ratio of the permeability of the soil specimens (kₛ₁:kₛ₂) is ________

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A 3

× 3

square precast reinforced concrete segments to be installed by pushing them through an existing railway embankment for making an underpass as shown in the figure. A reaction arrangement using precast PCC blocks placed on the ground is to be made for the jacks.

Diagram for Civil Engineering question 54

At each stage, the jacks are required to apply a force of 1875

to push the segment. The jacks will react against the rigid steel plate placed against the reaction arrangement. The footprint area of reaction arrangement on natural ground is 37.5

. The unit weight of PCC block is 24

. The properties of the natural ground are:

;

and

. Assuming that the reaction arrangement has rough interface and has the same properties that of soil, the factor of safety (round off to 1 decimal place) against shear failure is ________.

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A timber pile of length 8 m and diameter 0.2 m is driven with a 20 kN drop hammer, falling freely from a height of 1.5 m. The total penetration of the pile in the last 5 blows is 40 mm. Use the Engineering News Record expression. Assume a factor of safety of 6 and empirical factor (allowing reduction in the theoretical set, due to energy losses) of 2.5 cm. The safe load carrying capacity of the pile (in kN, round off to 2 decimal places) is ________

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A square footing of 4

side is placed at 1

depth in a sand deposit. The dry unit weight (

) of sand is 15

. This footing has an ultimate bearing capacity of 600

. Consider the depth factors:

and the bearing capacity factor:

. This footing is placed at a depth of 2

in the same soil deposit. For a factor of safety of 3.0 as per Terzaghi’s theory, the safe bearing capacity (in

) of this footing would be ________.

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GATE CE format:nat PYQs

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