5.2. Dynamic Degrees of Freedom

Try these first

1. 1.

   What are dynamic degrees of freedom?

   Hint

   Think about how structures react to earthquakes.

2. 2.

   Name one example of a structure with a single dynamic degree of freedom.

   Hint

   Consider a beam that is fixed at one end.

3. 3.

   What are dynamic degrees of freedom (DOFs)?

   • Coordinates defining motion under static loads
   • Coordinates defining motion under dynamic loads
   • Coordinates defining maximum load capacity

   Hint

   Think about how structures behave during earthquakes.

4. 4.

   True or False: A cantilever beam has multiple dynamic degrees of freedom.

   • True
   • False

   Hint

   Consider the number of independent movements in a cantilever.

5. 5.

   Given a structure with two cantilever beams and one fixed support beam, calculate the total dynamic degrees of freedom.

   Hint

   Count the independent movements for each beam.

6. 6.

   A multi-story building has 10 floors. If each floor has one dynamic degree of freedom, what is the total for the building?

   Hint

   How many independent movements does each floor have?