17.11 - Numerical Example (Optional for Students)
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Practice Questions
Test your understanding with targeted questions
What does the mass matrix [M] represent?
💡 Hint: Think about how weight is distributed across the building.
What is the purpose of solving the eigenvalue problem?
💡 Hint: Recall how these relate to vibration.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the mass matrix [M] indicate?
💡 Hint: Think about the building's weight.
True or False: The eigenvalue problem must be solved to find mode shapes.
💡 Hint: Remember the connection between modes and eigenvalues.
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Challenge Problems
Push your limits with advanced challenges
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.
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?
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Reference links
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