In architectural design, checking if things are balanced is really important. Here are some simple tools and methods to help with that:

1. Free Body Diagrams: These are drawings that show all the forces acting on a building or structure. They help us see how strong these forces are and which direction they are pushing or pulling.

2. Vector Analysis: This means we look at forces and break them down into smaller parts. We often use basic math like triangles to help us figure out if everything balances out correctly.

3. Moment Calculation: This is about figuring out the twisting force around a point, called a pivot. We want to make sure these twisting forces add up to zero. The simple formula for moments is $M = F \times d$, where $F$ is the force and $d$ is how far it is from the pivot.

4. Static Equilibrium Conditions: This means that the total amount of forces pushing up and down (vertical) and side to side (horizontal) must be zero:

   • For vertical forces: $\Sigma F = 0$
   • For horizontal forces: $\Sigma M = 0$

Using these methods helps make sure that buildings don’t just look great but are also stable and safe to use.