GATE CE format:nat PYQs & Answers — Page 16

Questions 151–160 of 495. Imported answers require independent review unless marked reviewed.

Topic practice 495 questionsPage 16 of 50

The ordinates of a one-hour unit hydrograph for a catchment are given below:

| t (hour) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | | Q (m³/s) | 0 | 9 | 21 | 18 | 12 | 5 | 2 | 0 |

Use 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 m³/s at t = 1 hour and 10 m³/s at t = 2 hour. The value of D (in integer) is _________________________.

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For the elevation and temperature data given in the table, the existing lapse rate in the environment is ____ °C/100 m (round off to two decimal places).

Elevation from ground level (m)	Temperature (°C)
5	14.2
325	16.9

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For a horizontal curve, the radius of a circular curve is obtained as 300 m with the design speed as 15 m/s. If the allowable jerk is 0.75 m/s³, what is the minimum length (in m, in integer) of the transition curve?____________________

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If the size of the ground area is 6 km × 3 km and the corresponding photo size in the aerial photograph is 30 cm × 15 cm, then the scale of the photograph is 1 : ____ (in integer).

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The differential equation,

is solved by employing a backward difference scheme within the finite difference framework. The value of

at the

time-step, for some

, is 1.75. The corresponding time (t) is 3.14 s. Each time step is 0.01 s long. Then, the value of

is ______ (round off to three decimal places).

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A 5 cm long metal rod AB was initially at a uniform temperature of

°C. Thereafter, temperature at both the ends are maintained at 0 °C. Neglecting the heat transfer from the lateral surface of the rod, the heat transfer in the rod is governed by the one-dimensional diffusion equation

, where D is the thermal diffusivity of the metal, given as 1.0 cm²/s.

The temperature distribution in the rod is obtained as

where x is in cm measured from A to B with

at A, t is in s,

are constants in °C, T is in °C, and

is in s⁻¹.

The value of

(in s⁻¹, rounded off to three decimal places) is ____________.

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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/mm

, in integer) at the point? ______________________________

Diagram for Civil Engineering question 53

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A beam is subjected to a system of coplanar forces as shown in the figure. The magnitude of vertical reaction at Support P is ____________ N (round off to one decimal place).

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An idealised bridge truss is shown in the figure.

Diagram for Civil Engineering question 54

The force in Member U

is ______ kN (round off to one decimal place).

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For the frame shown in the figure (not to scale), all members (AB, BC, CD, GB, and CH) have the same length,

, and flexural rigidity,

. The joints at B and C are rigid joints, and the supports A and D are fixed supports. Beams GB and CH carry uniform distributed loads of

per unit length. The magnitude of the moment reaction at A is

. What is the value of

(in integer)? ____________

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GATE CE format:nat PYQs

Question 34

Question 34

Question 35

Question 35

Question 52

Question 52

Question 53

Question 53

Question 54

Question 54