Practice Applications In Civil Engineering (30.6) - Eigenvectors

Practise this section

8 questions

Flashcard drill
3 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.
What is an eigenvector?
Show hintHide hint
Think about how vectors transform under linear transformations.
Question 2.
Why are eigenvalues important in structural analysis?
Show hintHide hint
Consider the effects of repeated loading.
3Question 3.
What does an eigenvalue represent in civil engineering?
- Shape of vibration
- Natural frequency
- Critical load
Show hintHide hint
Think about vibrations in structures.
4Question 4.
True or False: Eigenvectors are always unique.
- True
- False
Show hintHide hint
Consider scaling.
Question 5.
Consider a cantilever beam under a load, with a known eigenvalue for critical buckling. How would changes in material density affect the eigenvalue and stability?
Show hintHide hint
Reflect on how density interacts with material stiffness.
Question 6.
A building's eigenvalue analysis shows alarming low frequencies. Propose a design change to mitigate resonance risk.
Show hintHide hint
Think about ways to modify natural frequencies.

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