4.3. Matrix

Try these first

1. 1.

   Define a matrix.

   Hint

   Think of how data can be presented in a grid format.

2. 2.

   What is a dead load?

   Hint

   Consider what remains constant in a structure.

3. 3.

   What is a matrix?

   • A type of load
   • An array of numbers
   • A structural element

   Hint

   Remember how data can be visually organized.

4. 4.

   True or False: Dead loads are variable and change with time.

   • True
   • False

   Hint

   Consider what static versus dynamic means.

5. 5.

   A cantilever beam is subjected to a dead load of 1000 N and a live load of 500 N at the free end. Construct a matrix to represent these loads and compute the reactions at the support.

   Hint

   Think about static equilibrium conditions.

6. 6.

   Design a matrix to represent a structure subjected to different types of loads: dead, live, wind, and earthquake. Analyze the interrelation of these loads using matrix methods.

   Hint

   Remember properties of superposition apply when analyzing multiple effects together.