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18.10.1. Mode Shapes
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11 questions on this section. Wrong answers show you what to read again.
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Mixed questions from across the chapter. Your answers get marked.
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3 cards from this lesson. Good the night before a test.
Try these first
- 1.
What is a mode shape?
Hint
Think about how a guitar string vibrates.
- 2.
Define fundamental mode.
Hint
It's the baseline shape.
- 3.
What is a mode shape?
Hint
Think of it like the shape or form a structure takes when it vibrates.
- 4.
True or False: The fundamental mode is the simplest form of vibration.
Hint
Consider other overtones in vibration.
- 5.
Given a simply supported beam with length L, derive the expressions for the first three mode shapes using separation of variables. Consider boundary conditions.
Hint
Use boundary conditions to solve the differential equations.
- 6.
Discuss how varying material properties can affect mode shapes of a concrete slab subjected to heating. Provide examples of what kind of changes may occur.
Hint
Consider thermal expansion and changes in Young's modulus.
Exercises
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting
4 more questions available
Enrol freeQuiz
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting
1 more question available
Enrol freeChallenge Problems
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting