11.11 - Lumped Mass Matrix and Shear Building Model
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Practice Questions
Test your understanding with targeted questions
What is a lumped mass matrix?
💡 Hint: Think about how mass can be distributed in a building.
What does a shear building model help analyze?
💡 Hint: Consider environmental forces affecting structures.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a lumped mass matrix represent?
💡 Hint: Consider how mass is distributed in real structures.
True or False: A shear building model cannot be used for seismic analysis.
💡 Hint: Think about the purpose of the model.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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