32.2. Dynamic Response of Structures

Try these first

1. 1.

   What does 'm' represent in the equation of motion?

   Hint

   Think about it in terms of how much material is in the structure.

2. 2.

   Define elastic response.

   Hint

   Remember the concept of memory in materials.

3. 3.

   What does the damping ratio affect during structural response to earthquakes?

   • It reduces mass
   • It increases stiffness
   • It affects peak response

   Hint

   Think about how shock absorbers work in a car.

4. 4.

   True or False: An inelastic response leads to permanent deformations in a structure.

   • True
   • False

   Hint

   Think about a bent beam after a heavy load.

5. 5.

   Given a mass of 500 kg and a damping ratio of 0.5 for an SDOF system with a stiffness of 20000 N/m, calculate the peak response under a sinusoidal ground motion.

   Hint

   Consider how the damping affects the maximum amplitude during oscillations.

6. 6.

   Discuss the implications of earthquake frequency on various structures. How would the design differ for a tall building versus a bridge?

   Hint

   Think about how different structures perform under varying frequencies.