Civil Engineering GATE 2023 Set-1 Questions with Answer

Ques 40 Hydrology

The ordinates of a one-hour unit hydrograph for a catchment are given below: Using the principle of superposition, a D-hour unit hydrograph for the catchment was derived from this one-hour unit hydrograph. The ordinates of the D-hour unit hydrograph were obtained as 3 $m^{3}/s$ at t=1 hour and 10 $m^{3}/s$ at t=2 hour. The value of D (in integer) is _______.

1 is the correct answer.

Ques 41 Hydrology

A very wide rectangular channel carries a discharge (Q) of 70 $m^{3}/s$ per meter width. Its bed slope changes from 0.0001 to 0.0009 at a point P, as shown in the figure (not to scale). The Manning's roughness coefficient of the channel is 0.01. What water surface profile(s) exist(s) near the point P?

$M_{2}$ and $S_{2}$

$M_{2}$ only

$S_{2}$ only

$S_{2}$ and hydraulic jump

Ques 42 Hydrology

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 $\phi$-index of the storm is _______ (in mm/hour, rounded off to two decimal places).

a is the correct answer.

Ques 43 Hydrology

In Horton's equation fitted to the infiltration data for a soil, the initial infiltration capacity is 10 mm/h; the final infiltration capacity is 5 mm/h; and the exponential decay constant is 0.5/h. Assuming that the infiltration takes place at capacity rates, the total infiltration depth (in mm) from a uniform storm of duration 12 h is _______ (round off to one decimal place).

a is the correct answer.

Ques 44 Irrigation Engineering

A canal supplies water to an area growing wheat over 100 hectares. The duration between the first and last watering is 120 days, and the total depth of water required by the crop is 35 cm. The most intense watering is required over a period of 30 days and requires a total depth of water equal to 12 cm. Assuming precipitation negligible, the peak daily water requirement (in cubic meter) is _______ (round off to the nearest integer).

1 is the correct answer.

Ques 45 Materials Science

Which of the following options match the test reporting conventions with the given material tests in the table?

(P)-(VI); (Q)-(I); (R)-(II); (S)-(VII)

(P)-(VI); (Q)-(III); (R)-(IV); (S)-(V)

(P)-(VI); (Q)-(I); (R)-(II); (S)-(V)

(P)-(VI); (Q)-(III); (R)-(IV); (S)-(VII)

Ques 46 Numerical Methods

A function $f(x)$, that is smooth and convex-shaped between interval $(x_{l},x_{u})$ is shown in the figure. This function is observed at odd number of regularly spaced points. If the area under the function is computed numerically, then ______

the numerical value of the area obtained using the trapezoidal rule will be less than the actual

the numerical value of the area obtained using the trapezoidal rule will be more than the actual

the numerical value of the area obtained using the trapezoidal rule will be exactly equal to the actual

with the given details, the numerical value of area cannot be obtained using trapezoidal rule

Ques 47 Numerical Methods

The differential equation,

$\frac{du}{dt} + 2tu^{2} = 1$,

is solved by employing a backward difference scheme within the finite difference framework. The value of u at the $(n-1)^{th}$ time-step, for some n, is 1.75. The corresponding time (t) is 3.14 s. Each time step is 0.01 s long. Then, the value of $(u_{n} - u_{n-1})$ is _______ (round off to three decimal places).

1 is the correct answer.

Ques 48 Reinforced Concrete Structures

A singly reinforced concrete beam of balanced section is made of M20 grade concrete and Fe415 grade steel bars. The magnitudes of the maximum compressive strain in concrete and the tensile strain in the bars at ultimate state under flexure, as per IS 456: 2000 are _______, respectively. (round off to four decimal places)

0.0035 and 0.0038

0.0020 and 0.0018

0.0035 and 0.0041

0.0020 and 0.0031

Ques 49 Solid Mechanics

The infinitesimal element shown in the figure (not to scale) represents the state of stress at a point in a body. What is the magnitude of the maximum principal stress (in N/mm², in integer) at the point?

a is the correct answer.

Ques 50 Solid Mechanics

A hanger is made of two bars of different sizes. Each bar has a square cross-section. The hanger is loaded by three-point loads in the mid vertical plane as shown in the figure. Ignore the self-weight of the hanger. What is the maximum tensile stress in N/mm² anywhere in the hanger without considering stress concentration effects?

15.0

25.0

35.0

45.0

Ques 51 Structural Analysis

Consider the following three structures:

Which of the following statements is/are TRUE?

Structure I is unstable

Structure II is unstable

Structure III is unstable

All three structures are stable

Ques 52 Structural Analysis

Consider the pin-jointed truss shown in the figure (not to scale). All members have the same axial rigidity, AE. Members QR, RS, and ST have the same length L.
Angles QBT, RCT, SDT are all 90°. Angles BQT, CRT, DST are all 30°. The joint T carries a vertical load P. The vertical deflection of joint T is kPL/AE. What is the value of k?

1.5

4.5

3.0

9.0

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Civil Engineering GATE 2023 Set-1 Questions with Answer