11.9. Numerical Solution Techniques

Try these first

1. 1.

   What does FEM stand for?

   Hint

   Think about the method used for analyzing complex structures.

2. 2.

   What is modal truncation?

   Hint

   Consider why simplifying might be beneficial.

3. 3.

   What is the primary advantage of using the Finite Element Method?

   • It is the fastest numerical method.
   • It simplifies complex structures into smaller elements.
   • It does not require computational power.

   Hint

   Consider the way complex stories or structures are handled.

4. 4.

   True or False: The Power Method can find all the eigenvalues of a matrix.

   • True
   • False

   Hint

   Remember its specific function in matrix analysis.

5. 5.

   Describe a detailed approach for analyzing a multi-span bridge using FEM and include considerations for material behavior.

   Hint

   Focus on the steps of decomposition and calculation of properties.

6. 6.

   A tall building has undergone modal truncation. If the participating mass of the retained modes is only 80% of the total mass, what implications could this have on the accuracy of your seismic response predictions?

   Hint

   Think about the need for accuracy in structural responses.