However, it did not leave her dead in the water as a hit to the screws almost certainly would have (again, see P of W off Malaya).Jedi Master Spock wrote:The rudder hit did impair mobility.
The KGVs' 14in guns were never entirely satisfactory, due to a long list of operational problems that were never quite solved; all those were problems with the mounting, of course, not the guns themselves.I don't think the British really did wrong in arming the King George V class with 14" guns. 14" guns really did seem sufficient to pierce battleship armor in actual combat.
The distribution of hits is just as important here as the total number of hits; South Dakota was hit from extremely close range with fire directed at her upperworks, which contain the directors and many of the other things needed to make her the floating artillery battery which battleships, by their nature, are. This is a highly abnormal situation which her designers can hardly be blamed for not predicting; battleships almost always fought at ranges where aiming at anything other than the target ship itself would be just about impossible, given factors beyond the gunners' control (wind, gravity, the target's movement, etc.).Thank you for coming up with those figures. Energy at target of a 14" HE shell at 5,000 yards: 250 MJ (160 MJ KE, 90 MJ bursting charge. At 15,000 yards: 190 MJ (100 MJ KE, 90 MJ bursting charge).
Total striking energy of a 21" torpedo: 2300 MJ (almost all bursting charge).
Now, shells in general get a little more effect out of their limited bursting charge - they burst inside the ship if they pierce the armor, and strike various systems located on the surface of the ship.
However, the torpedo hits dumped a lot more destructive energy on the Scharnhorst, and they did it down under the waterline, attacking the part of the ship that keeps the water out.
By comparison, a comparable number of lighter shells rendered the USS South Dakota incapable of further combat (if still perfectly seaworthy). Had the South Dakota been hit by 11 torpedoes, it certainly would have sunk, to judge by all the expert complaint about its TDS.
The Kirishima only took nine 16" hits from the Washington. The Hood's rather unlucky explosion happened with substantially fewer hits, and the Prince of Wales pulled out of action with substantial damage after seven shell hits. What sank the Scharnhorst was not an unusually small amount of ordnance for its weight class. Sure, it took less punishment than the Yamato, but I have a suspicion the Yamato was not compliant with the Treaty of Washington's restrictions...
By contrast, Duke of York was shooting at Scharnhorst at close to the extreme edge of her 14in 45cal guns' range, in appalling weather and on radar bearings that were erratic at best (her radar having been damaged early on and only kept functioning by some spectacular jury-rigging). Thus, the 14in shells - the only ones capable of piercing Scharnhorst's vitals, though the 8in and 6in could maul her upperworks and the destroyers might have gotten a lucky hit on Admiral Bey - could not be aimed saved in the most rudimentary sense.
The same applies to torpedoes; one torpedo that strikes home on the screws is worth more than half a dozen that hit elsewhere, and there's no indication at all of how the hits against Scharnhorst were distributed.
One other factor that should be mentioned, though it is non-material and therefore difficult to quantify, is the quality of the crews involved. Historically, the Royal Navy proved throughout the Second World War to have an overpowering advantage in surface combat against their German and Italian foes, despite having ships which, at least on paper, were significantly inferior, thanks to superior quality of commanders and crew.