Practice Modal Truncation and Convergence - 11.14 | 11. Multiple Degree of Freedom (MDOF) System | Earthquake Engineering - Vol 1
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11.14 - Modal Truncation and Convergence

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is modal truncation?

💡 Hint: Think about why we would reduce the number of modes.

Question 2

Easy

What is the purpose of the modal mass participation ratio?

💡 Hint: Recall how we assess the impact of modes.

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 modal truncation?

  • Using all modes for analysis
  • Considering only a few significant modes
  • Ignoring all modes

💡 Hint: Think about efficiency in seismic design.

Question 2

True or False: The modal mass participation ratio helps determine how many modes to keep in analysis.

  • True
  • False

💡 Hint: Remember what it evaluates in dynamic responses.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A bridge has 1000 kg total mass, where the first modal effective mass is 300 kg and the second is 100 kg. Calculate the modal mass participation ratio for both modes. Discuss whether or not it is sufficient for truncation.

💡 Hint: Calculate each one using the formula and discuss the total.

Question 2

A designer wants to verify the impact of truncating to the first three modes in a 10-story building. They find the first three modes capture 85% of the effective mass. Evaluate if this decision might lead to errors in the overall design.

💡 Hint: Reflect on safety implications in design.

Challenge and get performance evaluation