5.4. SDOF System: Formulation and Idealization

Try these first

1. 1.

   What does SDOF stand for?

   Hint

   Think about how many independent motions it describes.

2. 2.

   Name one of the main elements of an SDOF system.

   Hint

   Consider what you need to make an object move.

3. 3.

   What is the main advantage of using an SDOF system in structural analysis?

   • It captures complex multi-modal behavior
   • It simplifies calculations
   • It accounts for torsional effects

   Hint

   Think of a situation where simpler math might help.

4. 4.

   An SDOF system includes mass, stiffness, and damping. True or False?

   • True
   • False

   Hint

   Count the essential elements.

5. 5.

   Given a 5 kg mass with a stiffness of 200 N/m, calculate the natural frequency of the SDOF system.

   Hint

   Recall how the mass and stiffness relate to frequency.

6. 6.

   Explain how you would determine if a multi-story building can be idealized as an SDOF system.

   Hint

   Think about how modes affect structural response.