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I think your on the right track to advocate a T-34 style answer for the Germans, But the problem is that technologically this was not possible or even being contemplated in germany at that time. As head of the German army, you are not in a position to undertake actual research, you can issue design specs and then ask designers to go away and meet that specification. Because what you are asking for represents a quantum leap for geran designers, in terms of what they could do in 1935, its going to take a lot longer to deploy the new type you are describing.
Just to hold up an issue as an example. If the design called for a weight of 30tons, and an armament of 75mm or larger, the thinking of 1935 was that armament overhanging the bow was a poor design. The germans would have spent a lot of time and effort working the 75mm design into some weird shaped hull design.
development of an effective 75mm ATG took three years historically, so you can add a year approximately to get that design into a turret.
Trying to circumvent the natural design progression, because you know with the beenfit of hindsight what germany "needs" is to deny some cold hard realities. German designers were just not at the point you want them to be at that time. There were some intermediate steps needed to be trodden before germany could get to that point. There was nothing in the design pipeline that could even come close to what you are describing. its a total fantasy design.
buts lets just ssay they do proceed down that pathway....that means that the mkIII, mk38 and MkIV are bypassed, and germany is forced to fight 1939-42 with only light types.
They will have a hard time in the west and in Russia in 1941. Good luck. Then in the latter part of 1941 they start their deployment of the new heavy tank. Unless this tank of yours is a total fabrication and product of fancy, it should be assumed that the type is so typically german....large, complex and expensive.
A panther for example took something like 10 times the man hours to build compared to a t-34. Ther has never been agreement on the cost of german AFVs but I have found figures that tend to reinforce the man hours argument ....about 3 or four times the cost per unit. We can get into a discussion about that, but my opinion is that making the tanks larger and more complex will reduce the numbers, and thereby increase the vulnerbaility of the arm as a whole. This is not speculation, its a fact that reduced numbers of individually superior types does nothing to increase survivability and effectiveness. Your plan in other words, has serious questions hanging over it as to timing and effectiveness. I believe it possible as well, but i think it would have been a nett negative, rather than a net positive for the germans
Engines, transmission/steering gear, suspension/running gear all needed development. what works fairly well on small/light tanks doesn't work so well on larger medium tanks and tends not work at all on really heavy tanks.
Why did the Americans build the M3 medium tank? Engine, running gear, transmissions were all set, hull size was all set. It took over eight months to design, build and test the turret for the M-4 medium tank over the time needed to design build and test the sponson mount 75mm gun. And this was with the gun and ammo already developed.
Did the Germans make mistakes in tank design? sure.
Building tanks with sloped front ends and sloped sponson sides like adopted for the later jagdpanzer IV:
http://cdn.wn.com/pd/9a/63/f62f08531efff0d6f6d5db25e445_grande.jpg
Might have helped protection some without screwing up production too badly. It doesn't require an changes to the mechanical bits anyway and might have provided for a larger turret ring diameter.
Skipping the 50/L60 and going to an anti tank/tank version of the 7,5cm FK 16nA doesn't buy a whole lot. I don't think it's penetration was any better at practical ranges (under 1000 yds) it had a shorter point blank range by almost 200 meters, the ammo was heavier, the gun was heavier, not a big deal in a tank but for the towed anti-tank gunners who had to manhandle the gun, dig it in/hide it and get it back out of the firering positions it might mean a big deal. Granted the HE shell was much better but the German idea was that the MK IVs were supposed to supply the HE and smoke support and for that there is little to chose between the 75/24 and a 75/36 gun.
This is the answer to give, when one doesn't have an answer to give. It can be approached from the point of referenc of a pure daydream, but in reality the excercise can be undertaken as an extrapolation of the possibilities, based on the known historical outcome. In miltary think tanks across the world, participate in this sort of navel gazing all the time. this kind of speculation and testing goes on ad infinitum, but one simply does not say, well we disagree and that's okay. Are you refuting these numbers, If not, what impact would increasing the size and complexity of german tanks have on the numbers available