Practice Cantilever Beam (15.6.2) - Mode Shapes - Earthquake Engineering

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8 questions

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6 sample questions

Question 1.
What does a cantilever beam look like during the first mode of vibration?
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Think about the shape of a wave.
Question 2.
What is a mode shape?
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Relate it to how structures respond when they vibrate.
3Question 3.
What kind of shape does the first mode of a cantilever beam resemble?
- Square
- Circle
- Sine waveform
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Think of the simple wave motion.
4Question 4.
True or False: The second mode shape of a cantilever beam has a single curvature.
- True
- False
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Focus on how the vibration alters shape.
Question 5.
A cantilever beam is used in a structure subject to dynamic forces. How would you evaluate if its design is sufficient for the second mode shape?
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What happens when the frequency of external forces matches natural frequencies?
Question 6.
Discuss the implications and potential failures that could occur if a cantilever beam design does not consider mode shapes.
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Think about how ignoring vibrations could affect stability.

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