8.10. Amplification Factor (Dynamic Magnification)

Try these first

1. 1.

   What is the formula for calculating the amplification factor?

   Hint

   Think about what each variable represents.

2. 2.

   If a structure has a static deflection of 1 meter and dynamic response of 2 meters, what is the AF?

   Hint

   Use the given formula.

3. 3.

   What does the amplification factor measure?

   • The ratio of static to dynamic response
   • The ratio of dynamic to static response
   • The total displacement of a structure

   Hint

   Think about how responses differ when forces are applied.

4. 4.

   True or False: A higher amplification factor indicates less risk for structural failure.

   • True
   • False

   Hint

   Reflect on what high AF might indicate about vibrations.

5. 5.

   A newly constructed skyscraper has a static deflection of 0.3 m. During simulation testing under dynamic loads, it shows a response of 1.5 m. Discuss the implications this amplification factor has for safety and design modifications.

   Hint

   Think about safety implications and design adaptability.

6. 6.

   Given a building undergoes a dynamical analysis revealing an AF of 6, how would you propose to mitigate this risk through design changes? Provide a detailed explanation.

   Hint

   Focus on engineering principles that minimize vibration.