Practice Effective Modal Mass - 17.13 | 17. Decoupling of Equations of Motion | Earthquake Engineering - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define effective modal mass.

💡 Hint: Think about how modes influence overall behavior.

Question 2

Easy

What is the formula for calculating effective modal mass?

💡 Hint: Consider the components involved!

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 does effective modal mass measure?

  • Total mass of the system
  • Contribution of each vibration mode
  • Damping ratio

💡 Hint: Think about the role of vibration modes.

Question 2

True or False: The modal participation factor is squared in the effective modal mass calculation to emphasize larger contributions.

  • True
  • False

💡 Hint: Recollect the formula discussed.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A building's effective modal mass is calculated as follows for three contributing modes: Mode 1 (M_eff1 = 0.4), Mode 2 (M_eff2 = 0.36), Mode 3 (M_eff3 = 0.25). What is the cumulative effective modal mass? Next, if the total mass of the building is 1000 kg, how much mass is effectively accounted for?

💡 Hint: Add up the effective masses first.

Question 2

If a system shows a modal participation factor of 0.9 and the effective modal mass calculated is 500 kg for the first mode, what is the effective modal mass considering all factors?

💡 Hint: Calculate it step by step using the squared participation factor.

Challenge and get performance evaluation