Okay kiddo, let me explain what a critical plane analysis means. Imagine you are playing with your toys and decide to make a paper airplane. You fold the paper in a certain way to create the airplane shape. Now imagine that the paper is like any other material that can bend or stretch.
If you fold the paper airplane and straighten it out again, you might notice some small creases or cracks on the paper. These are caused by the bending and stretching that happened when you folded it.
The same thing happens to materials when they are loaded with forces, such as when a metal beam is under stress. Engineers use critical plane analysis to look at these creases or cracks and figure out where they might lead to the breaking or failure of the material.
Basically, it is a method to predict when a material will break, by examining the areas where damage is likely to occur due to repeated loading. This helps engineers design better and safer products that can handle lots of force without breaking.