GATE CE format:mcq PYQs & Answers — Page 56

Questions 551–560 of 724. Imported answers require independent review unless marked reviewed.

A one-dimensional domain is discretised into

sub-domains of width

with node numbers

. If the time scale is discretised in steps of

, the forward-time and centered-space finite difference approximation at

node and

time step, for the partial differential equation

Your answerChoose one option.

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Consider the hemi-spherical tank of radius 13

as shown in the figure (not drawn to scale). What is the volume of water (in

) when the depth of water at the centre of the tank is 6

Diagram for Civil Engineering question 27

Your answerChoose one option.

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A rectangular open channel has a width of 5

and a bed slope of 0.001. For a uniform flow of depth 2

, the velocity is 2

. The Manning’s roughness coefficient for the channel is

Your answerChoose one option.

0.002

0.017

0.033

0.050

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An ordinary differential equation is given below.

The solution for the above equation is (Note:

denotes a constant in the options)

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For the following statements:

P – The lateral stress in the soil while being tested in an oedometer is always at-rest. Q – For a perfectly rigid strip footing at deeper depths in a sand deposit, the vertical normal contact stress at the footing edge is greater than that at its centre. R – The corrections for overburden pressure and dilatancy are not applied to measured SPT-N values in case of clay deposits.

The correct combination of the statements is

Your answerChoose one option.

P – TRUE; Q – TRUE; R – TRUE

P – FALSE; Q – FALSE; R – TRUE

P – TRUE; Q – TRUE; R – FALSE

P – FALSE; Q – FALSE; R – FALSE

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For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in figure.

Diagram for Civil Engineering question 29

By how much angle (

) in degrees the stress element should be rotated in order to get the planes of maximum shear stress?

Diagram for Civil Engineering question 29 (figure 2)

Your answerChoose one option.

13.3

26.6

31.7

48.3

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Consider two functions:

and

. Which one of the following is the correct expression for

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The critical bending compressive stress in the extreme fibre of a structural steel section is 100 MPa. It is given that the yield strength of the steel is 250 MPa, width of flange is 250 mm and thickness of flange is 15 mm. As per the provisions of IS:800-2007, the non-dimensional slenderness ratio of the steel cross-section is

Your answerChoose one option.

0.25

0.50

0.75

2.00

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The cross-section of a built-up wooden beam as shown in the figure (not drawn to scale) is subjected to a vertical shear force of 8 kN. The beam is symmetrical about the neutral axis (N.A.) shown, and the moment of inertia about N.A. is

. Considering that the nails at the location P are spaced longitudinally (along the length of the beam) at 60 mm, each of the nails at P will be subjected to the shear force of

Diagram for Civil Engineering question 31

Your answerChoose one option.

60 N

120 N

240 N

480 N

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In the context of provisions relating to durability of concrete, consider the following assertions:

Assertion (1): As per IS 456-2000, air entrainment to the extent of 3% to 6% is required for concrete exposed to marine environment.

Assertion (2): The equivalent alkali content (in terms of Na₂O equivalent for a cement containing 1% and 0.6% of Na₂O and K₂O, respectively, is approximately 1.4% (rounded to 1 decimal place).

Which one of the following statements is CORRECT?

Your answerChoose one option.

Assertion (1) is FALSE and Assertion (2) is TRUE

Assertion (1) is TRUE and Assertion (2) is FALSE

Both Assertion (1) and Assertion (2) are FALSE

Both Assertion (1) and Assertion (2) are TRUE

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GATE CE format:mcq PYQs

Question 27

Question 27

Question 28

Question 28

Question 29

Question 29

Question 30

Question 30

Question 31

Question 31