16.13. Torsional Effects in MDOF Systems

Try these first

1. 1.

   What happens to the forces in a structure when torsion occurs?

   Hint

   Consider the effects of twisting on structural components.

2. 2.

   Define Torsional Coupling in your own words.

   Hint

   Think about the alignment of mass and stiffness.

3. 3.

   What does torsional coupling lead to in unsymmetrical buildings?

   • A misalignment of structural elements
   • Increased demands on edge columns
   • Decreased structural integrity
   • Uniform distribution of forces

   Hint

   Think about how structural elements react to uneven forces.

4. 4.

   True or False: Coupled equations of motion arise from offsets in mass and stiffness matrices.

   • True
   • False

   Hint

   Consider how individual parts of the system influence each other.

5. 5.

   A building design features an extensive overhang. Calculate the torsional effects on the edge columns under a simulated earthquake load and discuss the implications for structural design.

   Hint

   Consider the balance of mass and stiffness in your calculations.

6. 6.

   You are tasked with analyzing a 5-story MDOF structure with significant torsional effects due to unsymmetrical design. Develop a model that includes all necessary DOFs and outline the equations of motion you would use.

   Hint

   Remember to think about how the interactions impact the overall motion.