Test: Principle of Work & Energy


10 Questions MCQ Test Structural Analysis | Test: Principle of Work & Energy


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QUESTION: 1

Ue = work done by all external forces
Ui = internal work or strain energy
Δ = final elongation of bar
Θ = final angular deflection

Principle of virtual work was developed by mohr.
State whether the above sentence is true or false.

Solution:

Answer: b
Explanation: Principle of virtual work was developed by John Bernoulli.

QUESTION: 2

Ue = work done by all external forces
Ui = internal work or strain energy
Δ = final elongation of bar
Θ = final angular deflection

What is the relation between work done by external loads and work done by internal loads.

Solution:

Answer: b
Explanation: External and internal displacements must be related by compatibility of displacement.

QUESTION: 3

Ue = work done by all external forces
Ui = internal work or strain energy
Δ = final elongation of bar
Θ = final angular deflection

Dummy unit load method and virtual work method are two different approaches.
State whether the above statement is true or false.

Solution:

Answer: b
Explanation: They both are same methods.

QUESTION: 4

Ue = work done by all external forces
Ui = internal work or strain energy
Δ = final elongation of bar
Θ = final angular deflection

To apply this method it is :-

Solution:

Answer: a
Explanation: Since we are equating work done, it compulsory for them to be in equilibrium.

QUESTION: 5

Ue = work done by all external forces
Ui = internal work or strain energy
Δ = final elongation of bar
Θ = final angular deflection

This method can be applied when:-

Solution:

Answer: b
Explanation: As after elastic limit, work done can’t be equated.

QUESTION: 6

Ue = work done by all external forces
Ui = internal work or strain energy
Δ = final elongation of bar
Θ = final angular deflection

This method can be applied when:-

Solution:

Answer: b
Explanation: It is required for structure to be stable for application of this method.

QUESTION: 7

Ue = work done by all external forces
Ui = internal work or strain energy
Δ = final elongation of bar
Θ = final angular deflection

What is the shape of load-deformation curve for a linear elastic member?

Solution:

Answer: a
Explanation: In these cases, both are directly proportional.

QUESTION: 8

Ue = work done by all external forces
Ui = internal work or strain energy
Δ = final elongation of bar
Θ = final angular deflection

What is the shape of load-deformation curve for a non-linear elastic member?

Solution:

Answer: c
Explanation: In these cases, each one has unique relationship between load and deformation.

QUESTION: 9

Ue = work done by all external forces
Ui = internal work or strain energy
Δ = final elongation of bar
Θ = final angular deflection

What is the relation between work done and complementary work done?

Solution:

Answer: c
Explanation: They are equal only when Hooke’s law is applicable i.e. the material is linearly elastic.

QUESTION: 10

Ue = work done by all external forces
Ui = internal work or strain energy
Δ = final elongation of bar
Θ = final angular deflection

 Conservation of energy will be applicable only when:-

Solution:

Answer: a
Explanation: In cases of dynamic load, acceleration may occur and some of the external work will be transferred into kinetic energy.

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