I have see this expression for armoring/protection " all or nothing " it is clear as for tanks the formula is mobilty, protection, firepower and impossible have all especially for armoring buid a ship to 100000 t she get slow or increase propulsion but same again more heavy, for tanks Panther had the best compromise.
On graphics i don' t see the Yamato's citadel much more small than Iowa mainly the part between last main turret and propulsion, propeller significative ? exist same similar graphic for Montana ?
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Iowas are an highly unusual battleship design that is completely outside the mainstream of American battleship design, or anyone else's for that matter. The post War longevity of the Iowa class somewhat obscured that and turned them into not only a typical, but supposedly very good, battleship design in popular minds.
In 1937 Existing US battleships could barely do 21 knots and the new North Carolina and South Dakota classes were designed to reach 28 and 27 knots respectively, and there were doubts they could do so well in service because of the compromises made in their hull forms and sea keeping capability to keep them under the 35,000 ton treaty tonnage restriction.
The Iowa design was born when the USN became aware that the Japanese Kongo class battlecruisers were heavily modernized and can reach over 30 knots. USN planners did some war games and concluded despite the relatively weak firepower and protection of the Kongos, their speed makes them a tremendous threat because they can operate independently as fast raiders, avoid any us battleships, and destroy any us cruisers, and basically cut American supply lines from Hawaii to the west pacific, and prevent us cruisers and destroyers from properly scouting.
So when the treaty tonnage limit increased to 45,000 tons, the USN decided that, rather than build a stronger battleship than the preceding South Dakota class, they should build a 33 knot version of the South Dakota. This was how Iowa class was born.
Basically, the USN took the South Dakota design, stretched the central armored portion just enough to install boilers and turbines that were 80% more powerful. They then took the unarmored front and back portion of the hulls, stretched them until they were long enough to obtain the proper length to beam ratio required for the hull to be able to reach 33 knots with new power plant. As it turns out, the amount of stretching needed to get the hull to efficient go through the water at 33 knots was much greater than the amount of stretching needed to install that larger power plant.
Hence Iowa class has comparatively a short citadel in a long hull. Although it is about as long as the Montana class, iowa's citadel is much shorter and more thinly armored.
The Iowa class weighed 45,000 tons, and were not particularly well armored, and had a seriously defective torpedo defense system design made worse by the need to taper the hull width down for hydrodynamic efficiency abreast the A turret. So the torpedo protection for A turret magazine is barely existent. There were and remain serious doubts about the structural strength of their long, very slim bow. It is believed a torpedo hit forward of the A turret may cause the entire bow to fail structurally and break off, which, while not fatal to the ship, certainly compromise the ship's ability to remain in the battle line. Although they were fantastically fast, they were poor sea boats, rolled a lot in heavy seas for a ship their size, was very wet just aft of B turret, and had more severe speed restriction in heavy seas then seem appropriate for ships of their size.
By middle of the war, after cancelling the montanas, USN had also internally acknowledged the Iowa class design had made too much compromises to achieve their speed, and the design would not be repeated in any future battleship project even though there is now all the more emphasis on fast battleships to escort fast carriers, and only the Iowa class were truly fast enough for the role. At the time there were still thought of fast post war battleships as powerful carrier escorts. The USN decided the follow on design should have similar firepower and armor as the Iowa, same engines, but new hull form that is less hydrodynamically efficient but better shaped to protect the A turret magazine against torpedos, which would reduce their top speeds to 30 knots.