4.10.2 - Importance of Natural Frequency and Mode Shapes
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Practice Questions
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What is natural frequency?
💡 Hint: Think about the inherent vibrations of a structure.
What occurs when a structure's natural frequency matches an external frequency?
💡 Hint: Consider what happens to a swing when pushed at the right time.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is resonance?
💡 Hint: Consider a swing being pushed periodically.
True or False: Mode shapes are irrelevant to the design of tall buildings.
💡 Hint: Think about how different building heights affect vibrations.
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Challenge Problems
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A rectangular beam is fixed at both ends. If its dimensions are 4m long, with a width of 0.1m and a height of 0.2m, calculate its first natural frequency knowing the Young's Modulus is 200 GPa.
💡 Hint: Refer to relevant beam theory formulas to find your answer.
A tall building's first natural frequency is found to be 1 Hz. If an earthquake generates a frequency of 1 Hz, explain the potential consequences and solutions engineers could consider.
💡 Hint: Think about ways to alter the relationship between the building and the frequency.
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