GATE CE exam:gate PYQs & Answers — Page 10

Questions 91–100 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 10 of 130

As per the Rankine’s earth pressure theory, which of the following statements is/are FALSE?

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

For the active earth pressure, the inclination of failure plane is

with respect to the major principal plane.

For the active earth pressure, the inclination of failure plane is

with respect to the major principal plane.

For the passive earth pressure, the inclination of failure plane is

with respect to the major principal plane.

For the passive earth pressure, the inclination of failure plane is

with respect to the major principal plane.

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Consider differential equation

with the condition as y = 0 at x = 0. The value of y at x = 1.0 is ______ (rounded off to two decimal places).

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Which of the following statements is/are TRUE in the context of the geometric design of highways?

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

The coefficient of friction used for the design of horizontal curves is lower than the coefficient of friction used in the computation of the sight distances.

Centrifugal force at horizontal curve is counteracted by raising the middle of the pavement with respect to the edges.

Grade compensation is achieved by increasing the gradient of the horizontal curve.

Under identical conditions, the design length of the summit curve of a road having unidirectional flow will be greater than that of the same road having bidirectional flow.

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The age (in years) of a population is normally distributed with a mean of 36 and standard deviation of 12. The height (in cm) of the same population is also normally distributed with a mean of 160 and standard deviation of 10.

If the probability of age greater than 50 years is equal to the probability of height greater than h, the value of h (in cm) is ______ (rounded off to two decimal places).

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Starting with the first approximation as

, the second approximation for the root of the following function by the Newton-Raphson method is ______ (rounded off to two decimal places).

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A 250 mm wide × 600 mm deep rectangular concrete beam is prestressed by means of 4 high-tensile tendons, each of 14 mm diameter. The centre of the tendons is 200 mm from the soffit of the beam. The effective stress in each tendon is 700 N/mm².

The maximum bending moment (in kN-m), that can be applied to the section without causing tension at the soffit of the beam due to prestressing only, is ______ (rounded off to one decimal place).

Use π = 3.14

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Values of

for different values of

are tabulated below.

If a second-degree interpolating polynomial

is used to represent

, the value of

is __________ (rounded off to the nearest integer).

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A rigid-jointed portal frame, shown in the figure, consists of beam and columns of equal length L. The frame has a fixed support at one end and a roller support at the other end. The frame is subjected to a uniformly distributed load w and a lateral load P as shown in the figure. The plastic moment capacity of the beam and column sections is

. Consider a combined beam-column mechanism for plastic collapse. By applying the virtual work equation corresponding to the combined plastic collapse mechanism,

is expressed as

where C₁ and C₂ are constants.

Diagram for Civil Engineering question 49

The value of (C₁/C₂) is ______ (in integer).

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Two identical blocks A and B are connected by a rigid rod. The blocks rest against vertical and horizontal planes, as shown in the figure. The coefficient of static friction at the vertical and horizontal planes is the same. If the sliding impends when

, the value of the coefficient of static friction is _____ (rounded off to two decimal places).

Diagram for Civil Engineering question 50

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Linearly elastic, homogeneous, uniform bars BC and FG shown in the figure have fixed supports at B and G, respectively. For both the bars, axial rigidity is 2000 kN. A gap of 2 mm exists between D and F prior to application of any load (i.e. P = 0). Small deformation and infinitesimal strain assumptions are valid for the given bars.

The magnitude of the horizontal reaction (in kN) at B after application of the axial force P of 20 kN at C is ______ (rounded 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