Armed vs Unarmed Melee combat

[The Dark]

Mathematically speaking, T2K v2.2 effectively has 4 damage tiers for Armed Melee combat:

Bottle: 1d6/2 (average 1.75)
Knife/Machete: 1d6 (average 3.5)
Hatchet/Club/Bayonet/Spear: 1d6 + Str/2 (average 3.5 + Str/2)
Axe: 1d6 + Str (average 3.5 + Str)

Meanwhile, Unarmed combat does Str x Unarmed, divided by 10, rounded down, minimum 1 for punches, and the same number times 1.5 for a kick. I wanted to take a look at when Unarmed becomes a better investment than armed, by weapon category.

Bottle: Damage 2 is better than bottle, so the following are better (punch/kick):
Str 2, Unarmed 10/Unarmed 5
Str 3, Unarmed 7/Unarmed 4
Str 4, Unarmed 5/Unarmed 3
Str 5 or 6, Unarmed 4/Unarmed 2
Str 7, 8, or 9, Unarmed 3/Unarmed 2
Str 10, Unarmed 2/Unarmed 1

Knife/Machete needs Damage 4:
Str 3, Not possible/Unarmed 10
Str 4, Unarmed 10/Unarmed 8
Str 5, Unarmed 8/Unarmed 6
Str 6, Unarmed 7/Unarmed 5
Str 7, Unarmed 6/Unarmed 5
Str 8 or 9, Unarmed 5/Unarmed 4
Str 10, Unarmed 4/Unarmed 3

The remainder get more complicated, since higher Str increases their damage.
Hatchet/Club/Bayonet/Spear:
Str 4, Not possible/Unarmed 10 (does 5.5 damage Armed, 6 Unarmed)
Str 5, Not possible/Unarmed 10 (does 6.5 damage Armed, 8 Unarmed)
Str 6, Not possible/Unarmed 9 (does 6.5 damage Armed, 8 Unarmed)
Str 7, Not possible/Unarmed 8 (does 7.5 damage Armed, 8 Unarmed)
Str 8, Unarmed 10/Unarmed 7 (does 7.5 damage Armed, 8 Unarmed)
Str 9, Unarmed 10/Unarmed 7 (does 8.5 damage Armed, 9 Unarmed)
Str 10, Unarmed 9/Unarmed 6 (does 8.5 damage Armed, 9 Unarmed)

Axe: Nobody can do more damage unarmed than their average damage armed with an axe.

Note that this only looks at damage and ignores the hit bonus for knife, machete, or bayonet. Bayonets are really good, since they're the only weapon with a Str boost and an attack bonus. While the Axe is powerful, the -2 to strike makes it hard to use effectively.

I also haven't looked in depth at the additional weapons added in TNE. Quite a few are similar to existing weapons, but there are some that get 2d6 base damage (sword and cutlass get 2d6, broadsword gets 2d6 + Str/2, and battle axe and halberd get 2d6 + Str). Cutlass is notable for having +1 to hit and an average damage of 7, and halberd for being 2d6 + Str without a hit penalty.