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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a lumped mass matrix?
💡 Hint: Think about how mass can be distributed in a building.
Question 2
Easy
What does a shear building model help analyze?
💡 Hint: Consider environmental forces affecting structures.
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 a lumped mass matrix represent?
- Concentration of mass on structural beams
- Concentration of mass at discrete points
- Uniform mass distribution
💡 Hint: Consider how mass is distributed in real structures.
Question 2
True or False: A shear building model cannot be used for seismic analysis.
- True
- False
💡 Hint: Think about the purpose of the model.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a six-storey building represented by a lumped mass matrix. If the mass at each floor is 1000 kg and the inter-storey springs have a stiffness of 200 kN/m, derive the tridiagonal stiffness matrix for the building.
💡 Hint: Use the pattern of stiffness between each floor.
Question 2
Discuss how neglecting mass concentration in the lumped mass matrix affects the predicted responses of a multi-storey building under seismic loading.
💡 Hint: Consider the impact of mass distribution on structural response.
Challenge and get performance evaluation