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

17.13 - Effective Modal Mass

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Practice Questions

Test your understanding with targeted questions

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!

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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Reference links

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