Structural Analysis Questions and Answers – Method of Virtual Work: Trusses and Castigliano’s Theorem

This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Method of Virtual Work: Trusses and Castigliano’s Theorem”.

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

1. Internal deformation caused by real loads will be in a linear elastic member:-
a) 14 NL/AE
b) 13 NL/AE
c) 12 NL/AE
d) NL/AE
View Answer

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

2. What will be the value of Δ in a member:-
a) Σ 14 nNL/AE
b) Σ 13 nNL/AE
c) Σ 12 nNL/AE
d) Σ nNL/AE
View Answer

Answer: d
Explanation: Just substituting the earlier equation in the main equation, we can get it.
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3. What is change in length of member if temperature increases by ΔT and expansion coefficient is ά?
a) 14 ά ΔTL
b) 13 ά ΔTL
c) 12 ά ΔTL
d) ά ΔTL
View Answer

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

4. What will be the value of Δ in a member:-
a) Σ 14 nά ΔTL
b) Σ 13 nά ΔTL
c) Σ 12 nά ΔTL
d) Σ nά ΔTL
View Answer

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

5. What is the unit of virtual unit load?
a) N
b) Lb
c) kip
d) Anything
View Answer

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

Δ = displacement caused when force is increased by a small amount.

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6. This theorem is applicable when temperature is varying. State whether the above sentence is true or false.
a) True
b) False
View Answer

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

7. In which of the following cases, is this theorem applicable?
a) Yielding support, non-linear elastic material
b) Non-yielding support, linear elastic material
c) Yielding support, linear elastic material
d) Non-yielding support, non-linear elastic material
View Answer

Answer: b
Explanation: It is applicable in cases of non-yielding support and non-linear elastic material.
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8. If any of the external forces acting increases, then internal energy would:-
a) Decrease
b) Increase
c) Not change
d) Become -ve
View Answer

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

9. What will be Δ if change in force is DP and du is change in internal energy?
a) 14 du/dp
b) 13 du/dp
c) 12 du/dp
d) du/dp
View Answer

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

10. This theorem is applicable when non-conservative forces are applied.
State whether the above statement is true or file.
a) True
b) False
View Answer

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

Sanfoundry Global Education & Learning Series – Structural Analysis.

To practice all areas of Structural Analysis, here is complete set of 1000+ Multiple Choice Questions and Answers.

If you find a mistake in question / option / answer, kindly take a screenshot and email to [email protected]

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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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