(cough) Better source material (cough)
That was her overall length when the hull was launched, she would be fitted with an "Atlantik Bow" before being completed and commissioned. This would give her an overall length of about 253.6 meters.
Is this her "light ship", "design", "standard", "full load", or "battle load" displacement? You should specify what type of displacement you are using, because there are several. 41,700 tons does not match with what I have seen.
Bismarck - August, 1940
Light Ship: 38,892 tons - (39,517 mt)
Design: 44,734 tons - (45,451 mt)
Full Load: 48,626 tons - (49,406 mt)
Battle Load: 49,609 tons - (50,405 mt)
2,200 officers and men
The number of crew varied. Normal crew compliment without a flag officer and his staff embarked was 1,927. With a flag embarked it was 2,106. Of course, as additions were made to a ship's electronics and weaponry this number would be expected to rise. During the Bismarck's only mission, her crew compliment was 2,221.
thirty-six 20-mm AA guns (4 x 4)(6 x 2)(8 x 1)
As commissioned, the Bismarck only had 12 20mm single mounts, in April, 1941, two quadruple 20mm mounts would be added.
two float planes
The Bismarck carried 4 Arado 196 float planes: T3 + AK, T3 + DL, T3 + IH, T3 + MJ
As for the Tirpitz, similar mistakes are made.
The Tirpitz had her "Atlantik Bow" fitted during normal construction, so at launch her length should be 253.6 meters.
The displacement for the Tirpitz is also off, not matching anything I have seen. Her displacements are roughly 20 tons heavier than the comprable Bismarck ones.
The Tirpitz's 20mm compliment, at the time of her sinking, was 78.
The maximum storage space for float planes was 6, 2 on the catapult and four planes carried in her hangers. The normal amount carried was 4.