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PSI
(mander.xyz)
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Because my brain is fundamentally incompatible with imperial measurements:
500psi is equivalent to about 35kg of weight stacked into a centimetre square (so 35bar / 3500kpa)
Bothered by the units but not the lack of factoring for size differences? https://en.m.wikipedia.org/wiki/Bite_force_quotient
It would seem the unit you want for the SI biting force quotient is the Newton per kilogram.
I don't think it matters how big the thing biting you is, just how likely it is to rip bits off.
A weasel has nearly 4 times the Bite Force Quotient of a Moon Bear, but I'd take many Weasel bites before a single Moon Bear bite.
It's not so much the force that is important, regardless of if it's normalized for body size, it's the pressure that does damage. psi (or Pa in SI) is the appropriate unit.