15.5.1 - First Mode Shape
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Practice Questions
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Define 'mode shape'.
💡 Hint: Think about how a structure deforms when it vibrates.
Why is the first mode shape important in seismic analysis?
💡 Hint: Consider what happens during an earthquake.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What best describes the first mode shape?
💡 Hint: Think about the first movement patterns seen in structures.
True or False: The first mode shape corresponds to the lowest natural frequency of a system.
💡 Hint: Consider which frequency typically is addressed first in analyses.
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Challenge Problems
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A 10-story building experiences its first mode shape with uniform displacement across all floors. If the natural frequency is measured at 0.5 Hz, what implications does this have for the potential sway during seismic events?
💡 Hint: Consider how low frequency affects movement during ground shaking.
How would changing the material of a structure from steel to concrete affect its first mode shape and natural frequency?
💡 Hint: Think about stiffness and its impact on vibrations.
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