Math formulas

[MarkSheppard]

Mark, Can you post it?

Okay let me take a stab at converting it into a form that works well on a forum:

Here's the numbers that I've found through testing.

5% percent of range = 100% Penetration
10% percent of range = 100% Penetration
15% percent of range = 100% Penetration
20% percent of range = 100% Penetration
25% percent of range = 82.5% Penetration
30% percent of range = 79.6% Penetration
35% percent of range = 75.8% Penetration
40% percent of range = 72.8% Penetration
45% percent of range = 71.2% Penetration
50% percent of range = 66% Penetration
55% percent of range = 62.8% Penetration
60% percent of range = 60% Penetration
65% percent of range = 55.6% Penetration
70% percent of range = 52.8% Penetration
75% percent of range = 49.8% Penetration
80% percent of range = 46% Penetration
85% percent of range = 42.6% Penetration
90% percent of range = 39.6% Penetration
95% percent of range = 35.4% Penetration
100% percent of range = 33% Penetration

So let us say we want to find the penetration of a weapon with say a 5 AP penetration and a range of 20, at say, 50% of it's range?

Firstly, we take the range (20) and multiply it by 50 to get the weapon's maximum range in meters, which is:

20 x 50 = 1,000 meters

50% of the weapon's maximum range is:

1,000 x 0.5 = 500 meters

Now we can figure out the penetration.

The penetration at 50% of the range is 66%; so

AP Penetration (5) x 0.66 = 3

So at 500 meters, the weapon will have a penetration power of 3.

Please note that this is the *AVERAGE* penetration; you'll find from time to time, your weapon will penetrate a little less or a little more, and a few times will massively overpenetrate or underpenetrate; I *think* the frequency of these occurences and how often they favor over or under penetration is linked to warhead size.

I *think* this is SPCAMO's way of simulating the effects of shell diameter vs armor thickness; the Soviet 122mm gun in WWII was very effective against German Heavy Armor because the shell diameter at 122mm was bigger than the armor thickness that was opposing it.

[JaM]

Thanks Mark. Helped a lot.

[Pyros]

All these formulas are empirical models because it is extremely difficult to design a theoretical model describing the effects of penetration (in relation with the modern warheads and synthetic armor plating).

The principle scientific field which is used for the analysis of the modern ballistic research is the hydrodynamic behaviour (fluid mechanics) of the materials during a hyper-velocity penetration.

cheers,
Pyros