Civil Engineering
GATE CE topic:infrastructure PYQs
Build your understanding with focused practice from past exam papers.
Questions 1241–1250 of 1300. Imported answers require independent review unless marked reviewed.
Question 36
Open questionCEMCQ2 marksNeeds review
The laboratory tests on a soil sample yields the following results: natural moisture content = 18%, liquid limit = 60%, plastic limit = 25%, percentage of clay sized fraction = 25%. The liquidity index and activity (as per the expression proposed by Skempton) of the soil, respectively, are
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Open questionCE-2MCQ2 marksNeeds review
Two cars P and Q are moving in a racing track continuously for two hours. Assume that no other vehicles are using the track during this time. The expressions relating the distance travelled
(in km) and time
(in hour) for both the vehicles are given asP:
Q:
Within the first one hour, the maximum space headway would be
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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 37
Open questionCENAT2 marksNeeds review
Consider the equation
with
at
. This is numerically solved by using the forward Euler method with a step size,
. The absolute error in the solution at the end of the first time step isLog in to check the answer
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Open questionCE-2MCQ2 marksNeeds review
For the construction of a highway, a cut is to be made as shown in the figure.
The soil exhibits
kPa,
, and the undrained shear strength = 80 kPa. The unit weight of water is 9.81 kN/m³. The unit weights of the soil above and below the ground water table are 18 and 20 kN/m³, respectively. If the shear stress at Point A is 50 kPa, the factors of safety against the shear failure at this point, considering the undrained and drained conditions, respectively, would beYour answerChoose one option.
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Open questionCENAT2 marksNeeds review
A pre-tensioned rectangular concrete beam 150 mm wide and 300 mm depth is prestressed with three straight tendons, each having a cross-sectional area of 50 mm², to an initial stress of 1200 N/mm². The tendons are located at 100 mm from the soffit of the beam. If the modular ratio is 6, the loss of prestressing force (in kN, up to one decimal place) due to the elastic deformation of concrete only is
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Open questionCE-2NAT2 marksNeeds review
Two towers, A and B, standing vertically on a horizontal ground, appear in a vertical aerial photograph as shown in the figure.
The length of the image of the tower A on the photograph is 1.5 cm and of the tower B is 2.0 cm. The distance of the top of the tower A (as shown by the arrowhead) is 4.0 cm and the distance of the top of the tower B is 6.0 cm, as measured from the principal point
of the photograph. If the height of the tower B is 80 m, the height (in meters) of the tower A isLog in to check the answer
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Open questionCENAT2 marksNeeds review
Consider the stepped bar made with a linear elastic material and subjected to an axial load of 1 kN, as shown in the figure.
Segments 1 and 2 have cross-sectional area of 100 mm
and 60 mm
, Young’s modulus of 2×10
MPa and 3×10
MPa, and length of 400 mm and 900 mm, respectively. The strain energy (in N-m, up to one decimal place) in the bar due to the axial load isLog in to check the answer
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Open questionCE-2NAT2 marksNeeds review
A hollow circular shaft has an outer diameter of 100 mm and inner diameter of 50 mm. If the allowable shear stress is 125 MPa, the maximum torque (in kN-m) that the shaft can resist is
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Open questionCENAT2 marksNeeds review
The value of M in the beam ABC shown in the figure is such that the joint B does not rotate.
The value of support reaction (in kN) at B should be equal to
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Open questionCE-2NAT2 marksNeeds review
A simply supported rectangular concrete beam of span 8 m has to be prestressed with a force of 1600 kN. The tendon is of parabolic profile having zero eccentricity at the supports. The beam has to carry an external uniformly distributed load of intensity 30 kN/m. Neglecting the self-weight of the beam, the maximum dip (in meters, up to two decimal places) of the tendon at the mid-span to balance the external load should be
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