Test: Deflection of Beams - 1 - Civil Engineering (CE) MCQ

# Test: Deflection of Beams - 1 - Civil Engineering (CE) MCQ

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## 10 Questions MCQ Test GATE Civil Engineering (CE) 2025 Mock Test Series - Test: Deflection of Beams - 1

Test: Deflection of Beams - 1 for Civil Engineering (CE) 2024 is part of GATE Civil Engineering (CE) 2025 Mock Test Series preparation. The Test: Deflection of Beams - 1 questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: Deflection of Beams - 1 MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Deflection of Beams - 1 below.
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Test: Deflection of Beams - 1 - Question 1

### A simply supported beam with width ‘b' and depth ‘d’ carries a central load W and undergoes deflection δ at the centre. If the width and depth are interchanged, the deflection at the centre of the beam would attain the value

Detailed Solution for Test: Deflection of Beams - 1 - Question 1

For a simply supported beam deflection, δ is given by,

∴
Let δ1 be the deflection when the width and depth are interchanged,
∴
∴

Test: Deflection of Beams - 1 - Question 2

### Two identical cantileversare loaded as shown in figure. If slope at the free end of the cantilever in figure (a) is θ, the slope at the free end of the cantilever in figure (b) will be.

Detailed Solution for Test: Deflection of Beams - 1 - Question 2

Slope in figure (a) is given by,

Where
∴
Slope in figure (b) is
∴ θb = θ

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Test: Deflection of Beams - 1 - Question 3

### The given figure shows a cantilever of span L subjected to a concentrated load P and moment M at the free end. Deflection at the free end is given by

Detailed Solution for Test: Deflection of Beams - 1 - Question 3

Deflection due to concentrated load acting at the end of cantilever= Pl3/3EI
Deflection due to moment acting at the end of cantilever= Ml2/2EI
Therefore, from principle of superposition, the deflection due to both moment and concentrated load acting at the end of cantilever will be Pl3/3EI + Ml2/2EI

Test: Deflection of Beams - 1 - Question 4

An overhang beam of uniform El is loaded as shown

The deflection at the free end will be

Detailed Solution for Test: Deflection of Beams - 1 - Question 4

The reaction RB at B is, ∑MC = 0

⇒
∴
∴ Total strain energy

So by Castigliano’s theorem, deflection at free end,

Test: Deflection of Beams - 1 - Question 5

A horizontal beam of length l of uniform cross-section is pinned at ends A and B. At end A there is an anticlockwise moment M and at end B there is clockwise moment 2M. The slope at end A and end B are respectively.

Detailed Solution for Test: Deflection of Beams - 1 - Question 5

Test: Deflection of Beams - 1 - Question 6

A cantilever beam of length ‘l’ carries a UDL ‘w’ from fixed end till mid span. The deflection at the free end is given by

Detailed Solution for Test: Deflection of Beams - 1 - Question 6

The slope at mid span

∴ Deflection at free end,

Test: Deflection of Beams - 1 - Question 7

A cantilever beam of length ’L’ is subjected to a concentrated load P at free end what is the deflection at the centre of beam?

Detailed Solution for Test: Deflection of Beams - 1 - Question 7

Using Maxwell’s reciprocal theorem,

Deflection at C when load is applied at B = Deflection at B when load is applied at C

Test: Deflection of Beams - 1 - Question 8

A 4-metre long beam, simply supported at its ends; carries a point load 'W at its centre. If the slope at the ends of beam is 1° then deflection at the centre of beam is

Detailed Solution for Test: Deflection of Beams - 1 - Question 8

Deflection at centre of beam
Slope at ends of beam

Test: Deflection of Beams - 1 - Question 9

A simply supported beam AB of span ‘l’ has a uniform cross-section throughout. It carries a central concentrated load W and another load which is uniformly distributed over the entire span, its total magnitude being W. The maximum deflection in the beam is

Detailed Solution for Test: Deflection of Beams - 1 - Question 9

Maximum deflection will occur at centre

Test: Deflection of Beams - 1 - Question 10

A cantilever beam of span ‘l’ and uniform flexural rigidity ‘EI’ is loaded with an upward force ‘W’ at the mid point and downward force ‘P’ at the free end. The deflection at the free end will be zero if

Detailed Solution for Test: Deflection of Beams - 1 - Question 10

Upward deflection at B due to load W,

Downward deflection at S due to load P,

For no deflection at B,

⇒ W = 16P/5

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## GATE Civil Engineering (CE) 2025 Mock Test Series

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