Bleach calculation thread: Komamura's strength
So I decided to make a manga-based calculation and since Bleach is among the most loved manga these days I'm going to make a calculation of a impressive feat Komamura accomplished through sheer speed and strength alone.
Now the method I'm going to use in this calculation is called the finite element method. I'm using this method for two reasons. Firstly it's a new growing method applicable in all fields of physics ranging from rigid body mechanics to elementary particle movement in dynamic systems and the university I'm is the second most contributing university in terms of development of the method.
Let us begin!
Assumptions:
1. The mountain mainly consists out of granite out of granite.
2. The geometry (drawing) is accurate and consistent.
3. There's no deformation at the foot of the mountain.
Given
Yong's modulus of granite: 40 - 70 [GPa] ~ Mean value: 55 [GPA]
Poisson's ratio for granite: 0.2 - 0.3 ~ Mean value: 0.25
Ultimate stress for granite: 70 - 280 [MPa] ~ Mean value: 175 [MPa]
See "Physics handbook: For science and engineering" for reference.
Note: These factors scale linearly with the result meaning that the answer may vary with up to a factor 2 depending on the values chosen above from the actual answer provided here.
Solution
We first examine the geometry (overall shape) used for this problem. Notice the boundaries will effect and structure chosen won't affect the the interesting part is the angle.
From the next picture we have that:
From this picture we get the following conditions.
Now from the Rukia's bio we know that she's 1.44 [m] tall, which makes us able to calculate the scaling through the three scans.
So we set up the basis for the shred-spread (note: only the distance from the rift to the edge will affect the energy spread)
Now the question is, how many triangle elements will we use?
Try a quoter-million elements (it took my computer about 3 hours to finish this calculation).
We get the following result.
