5.1.2. Types of Degrees of Freedom

Try these first

1. 1.

   What is a translational degree of freedom?

   Hint

   Think about how a structure can shift positions.

2. 2.

   Name the three axes about which rotational degrees of freedom can occur.

   Hint

   Consider the orientation in three-dimensional space.

3. 3.

   What type of movement is involved in translational DOF?

   • Rotational
   • Straight-line
   • Both

   Hint

   Consider if the motion is linear or circular.

4. 4.

   Coupled DOFs are present when translation and rotation are:

   • True
   • False

   Hint

   Focus on the interaction between the two types of movement.

5. 5.

   Design a simple structure that must account for translational, rotational, and coupled DOFs. Describe how each type of freedom will affect its response to seismic activity.

   Hint

   Consider how seismic forces impact tall buildings and what systems are needed to stabilize them.

6. 6.

   Evaluate a structure's performance. Given it has high torsional loads during an earthquake, discuss the implications of ignoring coupled degrees of freedom in your analysis.

   Hint

   Think about how complex loads might interact and affect building safety.