15.4 - Computation of Mode Shapes
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Practice Questions
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What is a mode shape?
💡 Hint: Think about how a structure moves when there is no external force.
Name one analytical method for computing mode shapes.
💡 Hint: Consider easier methods for smaller structures.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a mode shape represent?
💡 Hint: Think about how buildings react when they sway.
True or False: Numerical methods are unnecessary for large and complex structures.
💡 Hint: Consider the challenges large buildings present.
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Challenge Problems
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Consider a cantilever beam subjected to a dynamic load. Explain how you would compute its first three mode shapes using both analytical and numerical methods.
💡 Hint: Think about the different approaches to get to the solution!
A structural engineer reads that the mode shapes show localized deflections in a complex frame structure. What implications does this have for design and safety against seismic loading?
💡 Hint: What does localized mean in terms of design safety?
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