16.2. Degrees of Freedom in Structural Systems

Try these first

1. 1.

   What does a degree of freedom (DOF) represent in structural systems?

   Hint

   Think about how many ways a structure can move.

2. 2.

   How many translational DOFs does a building with three floors typically have?

   Hint

   Each floor typically accounts for one DOF.

3. 3.

   What is a degree of freedom (DOF) in structural terms?

   • A. Independent rotation
   • B. Independent displacement/rotation
   • C. Total mass of the structure

   Hint

   Think of how you define the position of a structure.

4. 4.

   True or False: A building with four floors has four translational degrees of freedom.

   • True
   • False

   Hint

   Count the floors to find the answer.

5. 5.

   Consider a six-story building subjected to lateral forces. Calculate the translational degrees of freedom. Discuss the impact of adding rotational DOFs for frame structures.

   Hint

   Count the stories first and think of the implications of rotational movements.

6. 6.

   Evaluate the effects of neglecting rotational degrees of freedom in a newly designed sports arena and suggest a design improvement.

   Hint

   Consider areas in the design where rotation impacts the performance.