Alternative light and anti-tank guns, 1935-45 (4 Viewers)

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Quirk with this system is that one still uses the off-the-shelf ammo.
RT-20 was supposedly doing 850 m/s, despite the short barrel and the divertion of small % of the gasses.
I understand why it was necessary to complicate the design in this particular case (for use of standard large caliber ammunition), but with AT guns, why? Artillerymen will have to either jump into a trench or run a decent distance away from the gun every time it is fired.
If the percentage of gases used is low, there will be no large effect of recoil reduction. Conservation of momentum law. The Soviets played around with recoilless guns before the war, realizing that they require a lot more powder. And I'm not sure these tricks are even possible with caliber above 30mm.
 
But the Germans used heterogeneous armor with a medium hardness backside, and the Soviets used medium hardness armor (42SM, 52S) after the war.
British weren't able to examine newer armor from the USSR before the choice was made to deply all the various *BAT HESH tossing recoilless guns.
And turned out to be effective all the same, until the new Composite Armor designs were introduced

2nd, HESH could be fired thru rifled tubes, without effecting the warheads effectiveness, unlike HEAT.
 
Also, HESH did double duty as a HE round and was used as such - eliminating the need to carry an additional type of ammunition.

The countries that adopted HEAT rounds either carried dedicated HE rounds in addition to the APDS and HEAT - or developed HEAT/MP rounds to be used as a bit sub-par HEAT and HE.
 
Armor penetration is a subject so complex that even different modern computer models can't always agree on results. A projectile moving at 2500f/s and penetrating 4-in of armor all happens in 13 MICRO-seconds (.00013 sec, or thereabouts.) Macroscopic (Newtonian) things happening in this short amount of time can give results that are almost impossible to predict with certainty. There's shock waves bouncing around, melting of both the projectile and target due to kinetic energy transforming into to thermal engergy, unequal forces on the projectile and target, etc. There are numerous "formulas" for amor penetration that can be modeled (PRODAS, Thompson, Lambert-Zukas, etc.) and all their outputs will vary with different materials on both the target and projectile. The best you can do is predicting "roughly" what will happen, or should happen. Google a copy of AD1045347 (PDF, 2018) for information on the WWII 76mm Sherman tank gun vs Tiger/Panther using modern "computer models" to get an idea for how complex this subject is. Hat's off to you, though. Your studying this subject is highly admirable, and "you will never have to prove your courage to me in any other way." Post anything interesting you find (or calculate.)
 
The basic equations are just that, basic. They use a lot of assumptions and constants.
But trying to chase down the minor variations can drive you crazy.

For basic penetration you have to figure out where the material that was occupying the hole goes. Like expanding a cylindrical hole sideways using hydrostatic pressure vs the projectile pushing out a cylindrical plug in the presence of constant shear stress at the surface of the plug. Now just figuring that out at different velocities, different thicknesses, different armor compositions and different shapes and compositions of penetrator gets well above my paygrade, assuming you can even find a lot the information needed.
Hardness of armor and the penetrator are just minor details. Tensile strength and yield strength and shear strength and so on.
And what is are the measurements of the armor (or projectile) in it's final state. How much (or little) work hardening or heat treatment or annealing or other factors that change it from the base stock (raw material) specifications and what was the quality of the work done?

the vast majority of projectile vs armor match ups are going to fall into expected ranges. Not to say that some are not out of the expected ranges but those should be examined close as to why or if they are at the end of a range of expected results. Also actual impact velocities are rarely given which means people are often working with inaccurate data (guessing).
 

UK Challenger crews in Iraq and Canadian Leopard 1 tank crews in Afghanistan also speak appreciatively of HESH as a anti-structure and/or hold making round. Lots of rounds put into buildings and walls to support infantry breaching and/or suppress fire. Plus the bigger bang vs HEAT helped. A105mm HESH round has somewhere around 2.7 to 2.9kg of Comp B, vs about 0.9 to 1.1kg in a HEAT round.

Infantry was also appreciative. HESH rounds apparently don't send as many fragments backwards and out to the sides as HEAT rounds do, so they could be closer to a target structure or have less danger when a tank was firing close.

"The 105 mm HESH round is the bread-and-butter munition for the tank squadron in theatre: each round knocks five-by-five meter holes into grape-drying huts and we have found it highly effective against dismounts at ranges of 150 to 3800 meters."

Source: Major Trevor Cadieu, 'Canadian Armour in Afghanistan' Canadian Army Journal Vol. 10.4 (Winter 2008), 5-25
 

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