Practice Importance of Natural Frequency and Mode Shapes - 4.10.2 | 4. Difference Between Static Forces and Dynamic Excitation | Earthquake Engineering - Vol 1
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4.10.2 - Importance of Natural Frequency and Mode Shapes

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is natural frequency?

💡 Hint: Think about the inherent vibrations of a structure.

Question 2

Easy

What occurs when a structure's natural frequency matches an external frequency?

💡 Hint: Consider what happens to a swing when pushed at the right time.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is resonance?

  • A type of amplitude
  • When frequencies match
  • Structural failure

💡 Hint: Consider a swing being pushed periodically.

Question 2

True or False: Mode shapes are irrelevant to the design of tall buildings.

  • True
  • False

💡 Hint: Think about how different building heights affect vibrations.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A rectangular beam is fixed at both ends. If its dimensions are 4m long, with a width of 0.1m and a height of 0.2m, calculate its first natural frequency knowing the Young's Modulus is 200 GPa.

💡 Hint: Refer to relevant beam theory formulas to find your answer.

Question 2

A tall building's first natural frequency is found to be 1 Hz. If an earthquake generates a frequency of 1 Hz, explain the potential consequences and solutions engineers could consider.

💡 Hint: Think about ways to alter the relationship between the building and the frequency.

Challenge and get performance evaluation