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Civil Engineering (CE) Exam  >  Civil Engineering (CE) Tests  >  Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Civil Engineering (CE) MCQ

Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Civil Engineering (CE) MCQ


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10 Questions MCQ Test - Test: Method of Virtual Work: Trusses & Castigliano’s Theorem

Test: Method of Virtual Work: Trusses & Castigliano’s Theorem for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Test: Method of Virtual Work: Trusses & Castigliano’s Theorem questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: Method of Virtual Work: Trusses & Castigliano’s Theorem MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Method of Virtual Work: Trusses & Castigliano’s Theorem below.
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Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 1
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N = normal force
n = Internal virtual normal force
Δ = Displacement of joints by real loads
L = length of a member
A = cross-sectional area of member
E = modulus of elasticity of a member

Internal deformation caused by real loads will be in a linear elastic member:-

Detailed Solution for Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 1

Answer: d
Explanation: Since it is a linear elastic material, we can use various relationships.

Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 2
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N = normal force
n = Internal virtual normal force
Δ = Displacement of joints by real loads
L = length of a member
A = cross-sectional area of member
E = modulus of elasticity of a member

What will be the value of Δ in a member:-

Detailed Solution for Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 2

Answer: d
Explanation: Just substituting the earlier equation in the main equation, we can get it.

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Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 3
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N = normal force
n = Internal virtual normal force
Δ = Displacement of joints by real loads
L = length of a member
A = cross-sectional area of member
E = modulus of elasticity of a member

What is change in length of member if temperature increases by ΔT and expansion coefficient is ά?

Detailed Solution for Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 3

Answer: d
Explanation: Change in length is directly proportional to change in temperature and expansion coefficient with 1 as proportionality coefficient.

Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 4
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N = normal force
n = Internal virtual normal force
Δ = Displacement of joints by real loads
L = length of a member
A = cross-sectional area of member
E = modulus of elasticity of a member

 What will be the value of Δ in a member:-
Detailed Solution for Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 4

Answer: d
Explanation: Just substituting the earlier equation in the main equation, we can get it.

Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 5
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N = normal force
n = Internal virtual normal force
Δ = Displacement of joints by real loads
L = length of a member
A = cross-sectional area of member
E = modulus of elasticity of a member

What is the unit of virtual unit load?
Detailed Solution for Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 5

Answer: d
Explanation: Its unit can be anything as it will cancel with that of n.

Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 6
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Δ = displacement caused when force is increased by a small amount.

  This theorem is applicable when temperature is varying. State whether the above sentence is true or false.
Detailed Solution for Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 6

Answer: b
Explanation: It is applicable only when temperature is not changing.

Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 7
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Δ = displacement caused when force is increased by a small amount.

 In which of the following cases, is this theorem applicable?
Detailed Solution for Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 7

Answer: b
Explanation: It is applicable in cases of non-yielding support and non-linear elastic material

Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 8
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Δ = displacement caused when force is increased by a small amount.

If any of the external forces acting increases, then internal energy would:-
Detailed Solution for Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 8

Answer: b
Explanation: Due to increase in force, external work done would increase which would cause an increase in strain energy.

Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 9
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Δ = displacement caused when force is increased by a small amount.

What will be Δ if change in force is DP and du is change in internal energy?
Detailed Solution for Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 9

Answer: d
Explanation: On equating internal energy after changing order of application of forces.

Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 10
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Δ = displacement caused when force is increased by a small amount.

This theorem is applicable when non-conservative forces are applied.
State whether the above statement is true or file.
Detailed Solution for Test: Method of Virtual Work: Trusses & Castigliano’s Theorem - Question 10

Answer: b
Explanation: It is only applicable when forces are of conservative type.

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