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# Test: External Work & Strain Energy

## 10 Questions MCQ Test Structural Analysis | Test: External Work & Strain Energy

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

Solution:

Explanation: Ui 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:

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:

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:

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 Ue if material is linear elastic? Moment is increased from 0 to m gradually.

Solution:

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:

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:

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:

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 Ui ?

Solution: