GATE CE 2024 Paper 1 — page 14

Questions 40–42 of 65. Imported answers require review unless explicitly marked reviewed.

A homogeneous shaft PQ with fixed supports at both ends is subjected to a torsional moment T at point Q, as shown in the figure.

Diagram for Civil Engineering question 40

The polar moments of inertia of the portions PQ and QR of the shaft with circular cross-sections are

and

, respectively. The torsional moment reactions at the supports P and R are

and

, respectively.

and

, the ratio of the lengths

Your answerChoose one option.

0.50

0.25

4.00

2.00

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A vertical smooth rigid retaining wall is supporting horizontal ground with dry cohesionless backfill having a friction angle of

. The inclinations of failure planes with respect to the major principal plane for Rankine’s active and passive earth pressure conditions, respectively, are

Your answerChoose one option.

30° and 30°

60° and 60°

30° and 60°

60° and 30°

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A flow velocity field

for a fluid is represented by

In the context of the fluid and the flow, which one of the following statements is CORRECT?

Your answerChoose one option.

The fluid is incompressible and the flow is rotational.

The fluid is incompressible and the flow is irrotational.

The fluid is compressible and the flow is rotational.

The fluid is compressible and the flow is irrotational.

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2024 · Paper 1

Question 40

Question 41

Question 42