Ok well here is my general understand of why gear set get weaker as the ratios get higher (gearing gets deeper):
1. Smaller pinion head: For a given axle size a higher numerical gear ratio means the pinion gear must be smaller in diameter to accommodate fewer teeth.
2. Smaller thinner teeth: As the pinion head shrinks the gear teeth must also be made smaller and thinner to mesh correctly with the larger ring gear.
3. Reduced tooth contact area: The smaller teeth also have reduced overall tooth surface area in contact at any moment concentrating stress onto a smaller point of the gear teeth.
4. More stress cycles per tooth: The reduced number of teeth means its teeth endure more stress cycles over time. (i.e. a 5.11 will take ~25% more rotations of the pinion to travel the same distance and there are also 25% more pinion teeth on a 4.10 vs a 5.13 so for the same distance traveled each pinion tooth is seeing ~56.4% more load cycles)
Effectively just from a size perspective yes the smaller pinion has less strength but a compounding factor is the additional cycles, less area for the gear oil to absorb shock loads, and the less thermal mass meaning the heat cycles are fatiguing the material sooner.
I agree with
@machoheadgames the same load is not being put on a 5.13 tooth as a 4.10 tooth as the mechanical advantage (distance from the ring/pinion contact gear to the pinion center axis) is less but it doesn't fully make up for a the aforementioned weaknesses of a smaller pinion in a dynamic system.
Please correct me if I am misunderstanding the tradeoffs in strength/durability when increasing axle gear ratios. I am always learning and this thread has already turned into the AP level classroom I had hoped it might.
Graphic showing reduced pinion sizes as gear ratio gets higher.
View attachment 643071
So I agree