GATE CE exam:gate PYQs & Answers — Page 62

Questions 611–620 of 1300. Imported answers require independent review unless marked reviewed.

A horizontal force of

kN is applied to a homogeneous body of weight 25 kN, as shown in the figure. The coefficient of friction between the body and the floor is 0.3. Which of the following statement(s) are correct?

Diagram for Civil Engineering question 46

Your answerSelect all correct options. You can choose more than one.

The motion of the body will occur by overturning.

Sliding of the body never occurs.

No motion occurs for

kN.

The motion of the body will occur by sliding only.

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Which of the following statement(s) is/are correct?

Your answerSelect all correct options. You can choose more than one.

If a linearly elastic structure is subjected to a set of loads, the partial derivative of the total strain energy with respect to the deflection at any point is equal to the load applied at that point.

If a linearly elastic structure is subjected to a set of loads, the partial derivative of the total strain energy with respect to the load at any point is equal to the deflection at that point.

If a structure is acted upon by two force system

and

, in equilibrium separately, the external virtual work done by a system of forces

during the deformations caused by another system of forces

is equal to the external virtual work done by the

system during the deformation caused by the

system.

The shear force in a conjugate beam loaded by the M/EI diagram of the real beam is equal to the corresponding deflection of the real beam.

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In the context of cross-drainage structures, the correct statement(s) regarding the relative positions of a natural drain (stream/river) and an irrigation canal, is/are

Your answerSelect all correct options. You can choose more than one.

In an aqueduct, natural drain water goes under the irrigation canal, whereas in a super-passage, natural drain water goes over the irrigation canal.

In a level crossing, natural drain water goes through the irrigation canal.

In an aqueduct, natural drain water goes over the irrigation canal, whereas in a super-passage, natural drain water goes under the irrigation canal.

In a canal syphon, natural drain water goes through the irrigation canal.

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Water is flowing in a horizontal, frictionless, rectangular channel. A smooth hump is built on the channel floor at a section and its height is gradually increased to reach choked condition in the channel. The depth of water at this section is

and that at its upstream section is

. The correct statement(s) for the choked and unchoked conditions in the channel is/are

Your answerSelect all correct options. You can choose more than one.

In choked condition,

decreases if the flow is supercritical and increases if the flow is subcritical.

In choked condition,

is equal to the critical depth if the flow is supercritical or subcritical.

In unchoked condition,

remains unaffected when the flow is supercritical or subcritical.

In choked condition,

increases if the flow is supercritical and decreases if the flow is subcritical.

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Consider the differential equation

For the initial condition

, the value of

obtained using Euler’s method with a step-size of 0.2 is ________. (round off to one decimal place)

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The concentration

of pollutants in a one-dimensional reservoir at position

and time

satisfies the diffusion equation

on the domain

, where

is the diffusion coefficient of the pollutants. The initial condition

is defined by the step-function shown in the figure.

The boundary conditions of the problem are given by

at the boundary points

and

at all times. Consider

, and

. The steady-state concentration

at the center

of the reservoir (in

) is ________. (in integer)

Diagram for Civil Engineering question 48

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A set of observations of independent variable (

) and the corresponding dependent variable (

) is given below.

	5	2	4	3
	16	10	13	12

Based on the data, the coefficient

of the linear regression model

is estimated as 6.1.

The coefficient

is ______________. (round off to one decimal place)

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A pair of six-faced dice is rolled thrice. The probability that the sum of the outcomes in each roll equals 4 in exactly two of the three attempts is ______. (round off to three decimal places)

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The plane truss shown in the figure is subjected to an external force

. It is given that

, and

Diagram for Civil Engineering question 50

The magnitude (absolute value) of force (in kN) in member

is ________. (round off to the nearest integer)

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Consider two linearly elastic rods

and

, each of length

, as shown in the figure. The rods are co-linear, and confined between two fixed supports at

and

. Both the rods are initially stress free. The coefficient of linear thermal expansion is

for both the rods. The temperature of the rod

is raised by

, whereas the temperature of rod

remains unchanged. An external horizontal force

is now applied at the node

. It is given that

. The axial rigidities of the rods

and

are

and

, respectively.

To make the axial force in rod

equal to zero, the value of the external force

(in N) is ________. (round off to the nearest integer)

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GATE CE exam:gate PYQs

Question 46

Question 46

Question 47

Question 47

Question 48

Question 48

Question 49

Question 49

Question 50

Question 50