When looking at static and dynamic analysis in structural engineering, we see some important differences:

1. Types of Loads:

   • Static Analysis works with loads that stay the same over time. An example is the weight of a building or consistent wind pressure.
   • Dynamic Analysis looks at loads that change over time, like during an earthquake or when cars hit a bridge.

2. How Structures Respond:

   • In static analysis, buildings respond to loads while in a state of balance. This makes calculations easier. For example, a basic formula $M = \frac{wL^2}{8}$ helps find moments when the load is steady.
   • Dynamic analysis, however, shows how a structure reacts over time. It uses equations which might look like $F = ma$. This shows how forces relate to mass and speed.

3. Complexity:

   • Static analysis is generally simpler and needs less computing power.
   • Dynamic analysis is more complex. It needs detailed models, especially for tall buildings like skyscrapers.

By understanding these differences, engineers can pick the right analysis method. This helps them design strong and safe structures.