Is there any HE penetration calculation formula?

[O_HOgameplay]

I know there is a calculator for AP and APCR, but is there any calculator/formula for pure HE shell penetration values?
I have gathered ~140 different explosive mass shells, and their penetration values, and plotted them with Matlab.

I am planning to do it with every shell in the game, since now i only plotted tank HE shells (and also included a few APHE/SAP rounds that have low flat pen, so the angle pen is actually their HE filler penetration, like on the KV-2, Ho-Ro, Lancia).

From 0g to around 3500-3600g, it is linear, but beyond that, the curve is flatter, and inconsistant.
This is the data i used for the plot:
he_out.zip (587 Bytes)

[FlipAllTheTables]

WarThunder has a table that corelates TNTe to penetration. Give me a moment and I should be able to find it.

Edit: here are the values in that table.

Table

TNTe (kg)	Pen (mm)
0.005	2.0
0.1	4.0
0.2	5.0
2.0	25.0
3.0	35.0
5.0	40.0
6.0	50.0
8.0	60.0
9.0	61.0
10.0	62.0
11.0	63.0
25.0	65.0
40.0	70.0
120.0	82.0
300.0	96.0
500.0	111.0
700.0	127.0
1500.0	191.0
3500.0	320.0
5000.0	350.0
6000.0	365.0

And here those values plotted on graphs.

Graphs

X is TNT equivalent in kg, Y is penetration. First graph has all the plot points.

This second graph shows from 0 to 11 kg, somewhat like the graph you plotted.

[TyTheGuy27]

I’ve done something similar with Matlab for the top full-calibre KE shell for essential every WWII tank cannon in game.
Don’t have the chart anymore but here’s the raw data if it helps you out

Cannon type	Caliber (mm)	Muzzle velocity (m/s)	Penetration (AP, full caliber, 500m against flat armor)	Projectile mass (AP, kg)	Barrel length (m)	Barrel length (calibers)	Reload rate (seconds)	User	Year Introduced	Penetration by caliber	Energy (J)
Type 94 37mm Anti-Tank Gun	37	575	27	0.7	1.71	46.1	3.3	Japan	1934	0.73	115718.75
3.7 cm Panzerabwehrkanone 36	37	745	31	0.69	1.67	45	2.9	Germany	1936	0.84	191483.625
Cannone da 47/32	47	630	46	1.5	1.5	32	2.9	Italy	1935	0.98	297675
37 mm M5	37	883	73	0.87	2.09	56.6	2.9	United States	1940	1.97	339164.715
37 mm M6	37	883	73	0.87	2.09	56.6	2.9	United States	1940	1.97	339164.715
47mm SA35 gun	47	660	47	1.62	2.35	50	4	France	1935	1	352836
45 mm anti-tank gun M1937 (53-K)	45	760	46	1.43	2.07	46	2.9	Soviet Union	1937	1.02	412984
76 mm regimental gun M1927	76.2	370	34	6.3	1.25	16.4	4	Soviet Union	1927	0.45	431235
Ordnance Quick-Firing 2 pounder	40	853	77	1.24	2.08	52	2.8	Britain	1936	1.93	451117.58
50 mm Kampfwagenkanone 38	50	685	62	2.05	2.1	42	4	Germany	1938	1.24	480955.625
Type 1 47 mm anti-tank gun	47	808	67	1.49	2.52	53.7	3.3	Japan	1941	1.43	486383.68
75 mm Kampfwagenkanone 37	75	385	45	6.78	1.76	23.5	3.3	Germany	1937	0.6	502482.75
45 mm anti-tank gun M1942 (M-42)	45	870	54	1.43	3.06	68	3	Soviet Union	1942	1.2	541183.5
SA35 L/17 (75mm)	75	470	50	6.4	1.28	17	8.6	France	1935	0.67	706880
5 cm Kampfwagenkanone 39	50	835	83	2.05	3	60	3.7	Germany	1939	1.66	714655.625
57 mm M1	57	900	103	2.85	2.85	50	4	United States	1942	1.81	1154250
75 mm Gun M2	75	588	84	6.79	2.33	31	4.8	United States	1940	1.12	1173800.88
Ordnance Quick-Firing 6 pounder	57	853	101	3.23	2.85	50	4	Britain	1942	1.77	1175088.535
L-11 76.2 mm tank gun	76.2	615	79	6.5	2.32	30.5	7.1	Soviet Union	1939	1.04	1229231.25
Ansaldo 75 mm L/34 gun	75	637	71	6.35	2.55	34	5	Italy	1943	0.95	1288316.575
75 mm Gun M6	75	618	90	6.79	2.93	39	6.5	United States	1942	1.2	1296631.98
75 mm Gun M3	75	618	90	6.79	3	40	5	United States	1941	1.2	1296631.98
76mm tank gun M1940 F-34	76.2	662	87	6.5	3.24	42.5	6.9	Soviet Union	1940	1.14	1424293
76mm tank gun M1941 ZiS-5	76.2	662	87	6.5	3.24	42.5	6.9	Soviet Union	1941	1.14	1424293
76 mm divisional gun M1942 (ZiS-3)	76.2	662	87	6.5	3.25	42.6	6	Soviet Union	1942	1.14	1424293
75mm type 3		668		6.56							1463614.72
57 mm anti-tank gun M1943 (ZiS-2)	57	990	128	3.14	4.16	73	5	Soviet Union	1943	2.25	1538757
75 mm Kampfwagenkanone 40 (Early)	75	740	123	6.8	3.23	43	5.9	Germany	1940	1.64	1861840
Cannone Ansaldo da 105/25	105	500	81	15.65	2.63	25	10	Italy	1943	0.77	1956250
75 mm Kampfwagenkanone 40 (Late)	75	770	130	6.8	3.6	48	5.9	Germany	1940	1.73	2015860
3-inch gun M5	76.2	792	133	7	3.43	45	5.9	United States	1943	1.75	2195424
76mm M1A1	76.2	792		7							2195424
Type 5 75 mm tank gun	75	865	137	6.75	4.23	56.4	3.3	Japan	1945	1.83	2525259.375
85mm D-5 tank gun	85	792	126	9.2	4.68	55	7.4	Soviet Union	1939	1.48	2885414.4
75 mm Kampfwagenkanone 42	75	935	173	6.8	5.25	70	7.4	Germany	1942	2.31	2972365
Ordnance Quick-Firing 17 Pounder	76.2	883	172	7.71	4.19	55	4.7	Britain	1944	2.26	3005701.095
Cannone da 90/53	90	773	146	11.1	4.77	53	8	Italy	1939	1.62	3316285.95
8.8 cm Kampfwagenkanone 36	88	810	151	10.2	4.93	56	7.4	Germany	1936	1.72	3346110
90 mm Gun M3	90	853	160	10.94	4.77	53	7.5	United States	1938	1.78	3980021.23
8.8 cm Panzerabwehrkanone 43	88	1000	222	10.16	6.25	71	8.5	Germany	1943	2.52	5080000
90 mm Gun T15E2	90	975	206	10.94	6.57	73	14.5	United States	1945	2.29	5199918.75
105 mm schwere Kanone 18	105	822	173	15.56	5.46	52	10	Germany	1934	1.65	5256821.52
Ordnance Quick-Firing 32 Pounder	94	929	241	14.5	4.7	50	8.6	Britain	1945	2.56	6257047.25
100 mm D-10 tank gun	100	895	220	15.9	5.35	53.5	10.5	Soviet Union	1944	2.2	6368148.75
105 mm Experimental High Velocity cannon	105	914	181	16	4.73	45	8.6	Japan	1945	1.72	6683168
152 mm howitzer M1938 (M-10)	152.4	530	90	51.06	3.7	24.3	33.3	Soviet Union	1938	0.59	7171377
105 mm Gun T5E1	105	914	238	17.7	6.83	65	12.5	United States	1945	2.27	7393254.6
122 mm gun M1931/37 (A-19)	122	795	192	25	5.65	46.3	20.8	Soviet Union	1931	1.57	7900312.5
152 mm howitzer-gun M1937 (ML-20)	152.4	600	161	48.8	4.25	27.9	21.3	Soviet Union	1937	1.06	8784000
155 mm Gun T7	155	670	187	45.36	6.36	41	29.9	United States	1945	1.21	10181052
120 mm Gun T53	120	960	263	22.6	7.2	60	14.9	United States	1944	2.19	10414080
130 mm/50 B13 Pattern 1936	130	870	190	33.5	6.5	50	19.2	Soviet Union	1936	1.46	12678075
12.8 cm Panzerabwehrkanone 44	128	950	257	28.3	7.04	55	18.2	Germany	1944	2.01	12770375
155 mm Howitzer M1 Long Tom	155	837	191	45.36	6.98	45	90	United States	1940	1.23	15888904.92

[O_HOgameplay]

Where could i find it?
Is there any raw data too?

[FlipAllTheTables]

I found it on the datamine git hub.

I don’t quite know what you mean by raw data though.

[O_HOgameplay]

By raw data i mean it being in an array, like this:
0.01 1
0.13 2
and so on

[O_HOgameplay]

Or basically like in the zip file i provided.

[FlipAllTheTables]

Ah ok. Well the table I posted pretty much is that raw data.

[O_HOgameplay]

It does not seem fine enough, unless i want to pixelhunt.

Also, so there isn’t a calculation formula out there?

[FlipAllTheTables]

There doesn’t seem to be a formula. WarThunder just “connects the dots” between each of the values in that table, probably with the assumption that 0 kg of TNTe means 0 mm of penetration.

So basically whenever you have a specifc TNTe value, you look at the “previous” and “next” dot in TNTe with their respective penetration values, and just do a linear function between the two.

That’s why the 2nd image of the graph I provided matches yours basically perfectly, except for the fact that in-game values are rounded.

Here, I plotted two graphs showing your values and the ones I’ve provided. (I multiplied the weight values from my table by 1000 to turn kilograms into grams)

Graphs

The areas where there seems to be larger bumps are precisely due to the game rounding the shown values, rounding up if the decimal is 0.5 or over, and rounding down otherwise.

[O_HOgameplay]

Yes, i see.

Tho then, where do they get the references from? Actual data (like army test reports)? simulation?

[FlipAllTheTables]

Oh I have absolutely no idea.

[O_HOgameplay]

I am mainly interested in it, because as far as i know, for most penetrations, they use the formula that is used with their calculator on one of their webpages.

[A_Cute_Chihuahua]

God really hates the number 5, so he made physics work less well for 5kg than other numbers of kg

[O_HOgameplay]

What?

[A_Cute_Chihuahua]

I’m explaining the real life reason why the graph dips weirdly at 5kg and otherwise follows a smooth curve.

[O_HOgameplay]

Oh, now i get it xd. It’s certainly weird.