Test: External Work & Strain Energy

# Test: External Work & Strain Energy

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

Test: External Work & Strain Energy for Civil Engineering (CE) 2023 is part of Structural Analysis preparation. The Test: External Work & Strain Energy questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: External Work & Strain Energy MCQs are made for Civil Engineering (CE) 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: External Work & Strain Energy below.
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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 for Test: External Work & Strain Energy - Question 1

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 for Test: External Work & Strain Energy - Question 2

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 for Test: External Work & Strain Energy - Question 3

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 for Test: External Work & Strain Energy - Question 4

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 for Test: External Work & Strain Energy - Question 5

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 for Test: External Work & Strain Energy - Question 6

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 for Test: External Work & Strain Energy - Question 7

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 for Test: External Work & Strain Energy - Question 8

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

Test: External Work & Strain Energy - Question 9

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

Detailed Solution for Test: External Work & Strain Energy - Question 9

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 for Test: External Work & Strain Energy - Question 10

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

## Structural Analysis

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## Structural Analysis

30 videos|132 docs|28 tests