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# Test: Method of Virtual Work: Trusses & Castigliano’s Theorem

## 10 Questions MCQ Test Structural Analysis | Test: Method of Virtual Work: Trusses & Castigliano’s Theorem

Description
This mock test of Test: Method of Virtual Work: Trusses & Castigliano’s Theorem for Civil Engineering (CE) helps you for every Civil Engineering (CE) entrance exam. This contains 10 Multiple Choice Questions for Civil Engineering (CE) Test: Method of Virtual Work: Trusses & Castigliano’s Theorem (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Method of Virtual Work: Trusses & Castigliano’s Theorem quiz give you a good mix of easy questions and tough questions. Civil Engineering (CE) students definitely take this Test: Method of Virtual Work: Trusses & Castigliano’s Theorem exercise for a better result in the exam. You can find other Test: Method of Virtual Work: Trusses & Castigliano’s Theorem extra questions, long questions & short questions for Civil Engineering (CE) on EduRev as well by searching above.
QUESTION: 1

### 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:-

Solution:

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

QUESTION: 2

### 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:-

Solution:

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

QUESTION: 3

### 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?

Solution:

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

QUESTION: 4

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:-

Solution:

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

QUESTION: 5

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?

Solution:

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

QUESTION: 6

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.

Solution:

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

QUESTION: 7

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

In which of the following cases, is this theorem applicable?

Solution:

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

QUESTION: 8

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

If any of the external forces acting increases, then internal energy would:-

Solution:

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

QUESTION: 9

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?

Solution:

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

QUESTION: 10

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.

Solution: