Practice Idealization of Real Structures as SDOF - 5.11 | 5. Degrees of Freedom and SDOF | Earthquake Engineering - Vol 1
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5.11 - Idealization of Real Structures as SDOF

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the significance of mass participation in SDOF idealization?

💡 Hint: Think about how simplifying models helps in analysis.

Question 2

Easy

Define the fundamental period (T) in the context of structures.

💡 Hint: Consider the relationship between mass and stiffness.

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 the primary condition for a structure to be idealized as SDOF?

  • First mode participation >90%
  • First mode participation <50%
  • Only lateral displacements considered

💡 Hint: Focus on the importance of the first mode.

Question 2

True or False: The fundamental period can be estimated by the formula T = 2π√(m/k).

  • True
  • False

💡 Hint: Think about how mass and stiffness interact.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Evaluate a structural system where the effective mass is 20,000 kg and the effective stiffness is 80,000 N/m. Calculate T and assess if it can be idealized as SDOF if the first mode participation is reported to be 92%.

💡 Hint: Follow the steps to calculate the period and check participation percentage.

Question 2

A large structure shows that the first vibrational mode shows mass participation of only 75%. Discuss the implications and how you would approach the analysis.

💡 Hint: Consider what happens when the dominant mode is inadequate.

Challenge and get performance evaluation