15.6 - Mode Shapes of Typical Structures
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Practice Questions
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What defines a mode shape?
💡 Hint: Think about how structures respond to vibrations.
What structure type has floors modeled as lumped masses?
💡 Hint: Consider what stiffens them laterally.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the first mode shape of a shear building mainly characterized by?
💡 Hint: Consider how a building sways during an earthquake.
T/F: Cantilever beams only exhibit single curvature in their first mode.
💡 Hint: Think about how their shapes evolve.
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Challenge Problems
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Design a shear building taking into account the mode shapes discussed. How will you mitigate the effects of resonance?
💡 Hint: Think about alterations to the geometry and stiffness.
A cantilever beam is subjected to a load resulting in its first and second mode shapes. What are critical design considerations we need to account for?
💡 Hint: Remember how higher modes increase curvatures.
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