Civil Engineering
GATE CE topic:structural-engineering PYQs
Build your understanding with focused practice from past exam papers.
Questions 981–990 of 1300. Imported answers require independent review unless marked reviewed.
Question 26
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Which one of the following is NOT a correct statement?
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The probability density function of a continuous random variable distributed uniform between
and
(for
) isYour answerChoose one option.
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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
isYour 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
? 
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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 isYour answerChoose one option.
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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)Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 29
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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
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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.
By how much angle (
) in degrees the stress element should be rotated in order to get the planes of maximum shear stress? 
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Consider two functions:
and
. Which one of the following is the correct expression for
?Your answerChoose one option.
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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
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