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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the mass matrix [M] represent?
💡 Hint: Think about how weight is distributed across the building.
Question 2
Easy
What is the purpose of solving the eigenvalue problem?
💡 Hint: Recall how these relate to vibration.
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 the mass matrix [M] indicate?
- It indicates structural stiffness
- It indicates mass distribution
- It indicates damping
💡 Hint: Think about the building's weight.
Question 2
True or False: The eigenvalue problem must be solved to find mode shapes.
- True
- False
💡 Hint: Remember the connection between modes and eigenvalues.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a 4-storey building with evenly distributed masses of 1500 kg each and a stiffness of 100 kN/m per storey, calculate the mass and stiffness matrices.
💡 Hint: Consider each storey as a separate mass-spring system.
Question 2
In a practical seismic analysis, how would you use modal superposition to evaluate the total displacement of your structure under a given input ground motion?
💡 Hint: How does each mode respond to the initial ground motion?
Challenge and get performance evaluation