Practice Significance Of [ (∇ U + ∇ Ut)] (3) - Longitudinal Strain (contd.)

Practice: Significance of [ (∇ u + ∇ uT)]

Lesson 3Longitudinal Strain (contd.)

Practise this section

8 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Define longitudinal strain.
Show hintHide hint
Think about what happens to the length when stretched.
Question 2.
What is the geometric significance of the off-diagonal elements in the strain matrix?
Show hintHide hint
Consider how angles change between lines.
3Question 3.
What do the diagonal elements of the strain matrix represent?
- Shear Strains
- Longitudinal Strains
- No significance
Show hintHide hint
Look at how materials behave under tensile loads.
4Question 4.
True or False: The off-diagonal components of the strain matrix are relevant for calculating longitudinal strains.
- True
- False
Show hintHide hint
Think about how angles change.
Question 5.
Given a material experiencing a tensile load, calculate the maximum shear strain if the longitudinal strains are 0.01.
Show hintHide hint
Use the defined relationship between diagonal and off-diagonal components.
Question 6.
Illustrate how you would represent a more complex structure's strain using the (∇ u + ∇ uT) matrix. Show all steps.
Show hintHide hint
Begin with the basic principles of mechanics and ensure to keep your calculations neat.

4 more questions in this section. Enroll free to practise them all.