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External Work & Strain Energy - Free MCQ Practice Test with solutions,


MCQ Practice Test & Solutions: Test: External Work & Strain Energy (10 Questions)

You can prepare effectively for Civil Engineering (CE) Structural Analysis with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: External Work & Strain Energy". These 10 questions have been designed by the experts with the latest curriculum of Civil Engineering (CE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

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Test: External Work & Strain Energy - Question 1

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

Ui is not developed when:- 

Detailed Solution: Question 1

Answer: d
Explanation: Ui is developed when structure deforms, which is happening in other three options.

Test: External Work & Strain Energy - Question 2

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

Detailed Solution: Question 2

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.

Test: External Work & Strain Energy - Question 3

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

Detailed Solution: Question 3

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

Test: External Work & Strain Energy - Question 4

 What will be the work done by F’? 

Detailed Solution: Question 4

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

Test: External Work & Strain Energy - Question 5

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

Detailed Solution: Question 5

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.

Test: External Work & Strain Energy - Question 6

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

Detailed Solution: Question 6

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

Test: External Work & Strain Energy - Question 7

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

Detailed Solution: Question 7

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.

Test: External Work & Strain Energy - 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?

Detailed Solution: Question 8

Test: External Work & Strain Energy - Question 9

In the above question, what will be the value of Ui ? 

Detailed Solution: Question 9

Answer: c
Explanation: Once deformation is known, we can calculate the work done using earlier equations and then Ue = Ui.

Test: External Work & Strain Energy - Question 10

What will be the value of dUi in terms of E and I? 

Detailed Solution: Question 10

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

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