6.12. Idealization of Structures as SDOF Systems

Try these first

1. 1.

   What is a Single Degree of Freedom system?

   Hint

   Think about how many directions it can move.

2. 2.

   Why is regularity in mass distribution important for SDOF modeling?

   Hint

   Consider how mass affects motion.

3. 3.

   What does SDOF stand for?

   • Single Base of Operation
   • Single Degree of Freedom
   • Single Dimension of Force

   Hint

   Consider the degree of freedom in a mechanical system.

4. 4.

   A structure that exhibits regularity in mass distribution can be idealized as an SDOF system: True or False?

   • True
   • False

   Hint

   Reflect on the importance of uniformity in analysis.

5. 5.

   Evaluate a structure with varying mass distribution and discuss how to justify its idealization as an SDOF system.

   Hint

   Use mass distribution graphs to visualize.

6. 6.

   Analyze a building that has both translational and rotational responses during an earthquake. How would you approach this issue using SDOF and why?

   Hint

   Think about how local movements occur in different building parts.