16.3.1 - Lumped Mass Idealization
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Practice Questions
Test your understanding with targeted questions
What is the main purpose of lumped mass idealization?
💡 Hint: Think about how mass is treated in structural models.
What type of matrix represents mass in lumped mass idealization?
💡 Hint: Consider how mass values are arranged in a matrix form.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the lumped mass model simplify in structural analysis?
💡 Hint: Focus on where mass is allocated in the model.
True or False: The mass matrix in a lumped mass model is off-diagonal.
💡 Hint: Recall the structure of a diagonal matrix.
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Challenge Problems
Push your limits with advanced challenges
Given a 5-storey building, with masses 500 kg, 600 kg, 700 kg, 800 kg, and 900 kg at each floor respectively, calculate the mass matrix [M] and the resulting forces if the uppermost mass displaces 0.2m during an earthquake.
💡 Hint: Consider how forces are based on displacement and mass.
Create a detailed lumped mass model for a 3-storey frame structure with stiffness values of 12000 N/m between levels. If each level has a mass of 1000 kg, derive the equations of motion for this system.
💡 Hint: Focus on how stiffness affects dynamic response equations.
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