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This mock test of Test: External Work & Strain Energy for Civil Engineering (CE) helps you for every Civil Engineering (CE) entrance exam.
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QUESTION: 1

U_{e}= work done by all external forces

U_{i} = internal work or strain energy

Δ = final elongation of bar

Θ = final angular deflection

U_{i} is not developed when:-

Solution:

Answer: d

Explanation: U_{i} is developed when structure deforms, which is happening in other three options.

QUESTION: 2

What will be the value of Ue if material is linear elastic? Axial force is increased from 0 to P gradually.

Solution:

Answer: c

Explanation: Due to linear elasticity, we can substitute force in terms of P and Δ and then integrate wrt x to get the final answer.

QUESTION: 3

What will be the work done force P if another load external load F’ causes deflection Δ’ in the above question?

Solution:

Answer: d

Explanation: Here, P will remain constant. So, it will be a simple integration from 0 to Δ’.

QUESTION: 4

What will be the work done by F’?

Solution:

Answer: c

Explanation: Here, P will remain constant. So, it will be a simple integration from 0 to Δ’.

QUESTION: 5

What will be the value of U_{e} if material is linear elastic? Moment is increased from 0 to m gradually.

Solution:

Answer: c

Explanation: Due to linear elasticity, we can substitute moment in terms of M and θ and then integrate wrt x to get the final answer. Mdθ is done for moment to calculate work done.

QUESTION: 6

What will be the work done force M if another load external load M’ causes deflection θ’ in the above question?

Solution:

Answer: d

Explanation: Here, P will remain constant. So, it will be a simple integration from 0 to Δ’.

QUESTION: 7

What will be the work done by M’ in above question?

Solution:

Answer: c

Explanation: Due to linear elasticity, we can substitute moment in terms of M and θ and then integrate wrt x to get the final answer. Mdθ is done for moment to calculate work done.

QUESTION: 8

If an axial force N is applied gradually to a bar which is linear elastic and has a constant cross sectional area A and length L, what will be Δ?

Solution:

Answer: d

Explanation: Hooke’s law will be valid here as material is linear elastic.

QUESTION: 9

In the above question, what will be the value of U_{i} ?

Solution:

Answer: c

Explanation: Once deformation is known, we can calculate the work done using earlier equations and then U_{e} = U_{i}.

QUESTION: 10

What will be the value of dU_{i} in terms of E and I?

Solution:

Answer: c

Explanation: Relation between dθ and M/EI is known. So, we can use that to get results.

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