Practice Units And Interpretation (14.2.3) - Natural Frequencies - Earthquake Engineering

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6 sample questions

Question 1.
What is natural frequency?
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Think about how often a structure vibrates.
Question 2.
What units are used to measure natural frequency?
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Consider frequency in terms of cycles.
3Question 3.
What is the formula for natural frequency in a single-degree-of-freedom system?
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Recall the variables involved in the formula.
4Question 4.
True or False: A higher mass will increase the natural frequency.
- True
- False
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Think about the impact of weight on vibrations.
Question 5.
A structure has stiffness k = 3000 N/m and mass m = 1500 kg. Calculate the natural frequency and discuss the implications of this frequency in earthquake scenarios.
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Recall the formula f = (1/2π) * √(k/m).
Question 6.
Consider two buildings: Building A with a natural frequency of 5 Hz and Building B with a natural frequency of 2 Hz. Discuss the potential damage each might sustain during an earthquake of 3 Hz.
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Consider how matching frequencies can amplify destructive forces.

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