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MCQ Practice Test & Solutions: Test: Deflection of Beams - 2 (10 Questions)

You can prepare effectively for Civil Engineering (CE) GATE Civil Engineering (CE) 2027 Mock Test Series with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Deflection of Beams - 2". These 10 questions have been designed by the experts with the latest curriculum of Civil Engineering (CE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 10

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Test: Deflection of Beams - 2 - Question 1

For cantilever beam shown in the figure, the deflection at C due to a couple M applied at Bis equal to

Detailed Solution: Question 1

Slope and deflection at B,

[As there is no moment between B and C so BC remains linear at θB slope]

Test: Deflection of Beams - 2 - Question 2

Consider the following statements.
1. Conjugate beam can be used to determine slopes and deflection in a non-prismatic beam.
2. Conjugate beam may be statically indeterminate.
3. Conjugate beam method gives absolute slope and deflection.

The correct answer is

Test: Deflection of Beams - 2 - Question 3

Which of the foilowing statements are correct. Macaulay's method for calcuiation of slope and deflection in a beam is suitable for
1. Prismatic beams only.
2. Several concentrated loads and can be extended to uniformly distributed loads.
3. Both prismatic and Non-prismatic beams,

Detailed Solution: Question 3

Macaulay’s method is based on singularity function. It is applicable for prismatic beams only. While Mohr’s moment area method can be used for prismatic and non-prismatic beams.

Test: Deflection of Beams - 2 - Question 4

A simply supported beam of span L and depth dcarries a central load W. The ratio of maximum deflection to maximum bending stress is

Detailed Solution: Question 4

Test: Deflection of Beams - 2 - Question 5

Calculate the reaction at the roller support for the cantilever beam shown in the figure?

Detailed Solution: Question 5

Let P be the roller reaction.
Upward deflection of beam at A due to P.

Downward deflection of beam at A due to w.

Test: Deflection of Beams - 2 - Question 6

A cantilever carries a load P as shown in the given figure

The deflection at B is 

Detailed Solution: Question 6

Test: Deflection of Beams - 2 - Question 7

A simply supported beam of uniform flexural rigidity is loaded as shown in the given figure. The rotation at the end A is

Detailed Solution: Question 7

The M/EI diagram of beam is,

The slope at mid span is zero.

The difference between the slope at two points is  M/EI area between these points.

So slope at A,

Test: Deflection of Beams - 2 - Question 8

The maximum deflection of simply supported beam occurs at zero

Test: Deflection of Beams - 2 - Question 9

The stepped cantilever- is subjected to moments, M as shown in the figure below. The vertical deflection at the free end ( neglecting self weight)  is 

 

Detailed Solution: Question 9

Using moment area method, 

Deflection at B, wrt A
= Moment of area of M/EI diagram between A and B about B

Test: Deflection of Beams - 2 - Question 10

A simply supported beam of length CL' carries two equal unlike couples. M at the two ends. The central deflection of the beam is given by

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