The GB/CB/1916 design study

The specification for the GB/CB/1916 will not work as I had originally hoped:

GB/CB/1916
6-18in (190 ton) and 16-5in (5 ton) guns
Cp=0.56  Cm=0.95  C=0.29 (hull wt coeff)
787-1/2ft x 90ft x 53ft (depth)  draft=30.7ft deep
32,000 tons standard 33,150 tons full load
10,900 tons   hull
 5,225 tons   machinery
 1,240 tons   aux machinery
 2,806 tons   armament
 9,269 tons   protection
210,0000 SHP at 40 SHP/ton of machinery weight

The original beam was too narrow to allow for the armament. I had to increase the beam to 98ft and increase the draft to 31ft. I had greatly underestimated the hull weight that would be needed. That allowed the design to work:

GB/CB/1916, Great Britain Battlecruiser laid down 1916 (Engine 1950)

Displacement:
 33,055 t light; 34,751 t standard; 36,365 t normal; 37,656 t full load

Dimensions: Length (overall / waterline) x beam x draught (normal/deep)
 (793.32 ft / 787.50 ft) x 98.00 ft x (31.00 / 31.85 ft)
 (241.80 m / 240.03 m) x 29.87 m  x (9.45 / 9.71 m)

Armament:
      6 - 18.00" / 457 mm 45.0 cal guns - 2,950.00lbs / 1,338.10kg shells, 90 per gun
   Breech loading guns in turret on barbette mounts, 1916 Model
   2 x Triple mounts on centreline, forward deck forward
  1 raised mount - superfiring
      16 - 5.00" / 127 mm 45.0 cal guns - 63.03lbs / 28.59kg shells, 150 per gun
   Quick firing guns in deck and hoist mounts, 1916 Model
   16 x Single mounts on sides, evenly spread
  4 raised mounts
      Weight of broadside 18,709 lbs / 8,486 kg

Armour:
   - Belts:  Width (max) Length (avg)  Height (avg)
 Main: 8.00" / 203 mm 430.00 ft / 131.06 m 16.00 ft / 4.88 m
 Ends: Unarmoured
   Main Belt covers 84 % of normal length
   Main belt does not fully cover magazines and engineering spaces

   - Torpedo Bulkhead:
  3.00" / 76 mm 430.00 ft / 131.06 m 31.00 ft / 9.45 m

   - Gun armour: Face (max) Other gunhouse (avg) Barbette/hoist (max)
 Main: 8.00" / 203 mm 5.00" / 127 mm  8.00" / 203 mm
 2nd: 4.00" / 102 mm 3.00" / 76 mm  4.00" / 102 mm

   - Armoured deck - multiple decks: 3.00" / 76 mm For and Aft decks
 Forecastle: 3.00" / 76 mm  Quarter deck: 3.00" / 76 mm

   - Conning towers: Forward 8.00" / 203 mm,  Aft 0.00" / 0 mm

Machinery:
 Oil fired boilers, steam turbines, 
 Geared drive, 4 shafts, 197,623 shp / 147,427 Kw = 33.00 kts
 Range 6,500nm at 15.00 kts
 Bunker at max displacement = 2,904 tons

Complement:
 1,316 - 1,711

Cost:
 £5.824 million / $23.294 million

Distribution of weights at normal displacement:
 Armament: 3,001 tons, 8.3 %
 Armour: 9,061 tons, 24.9 %
    - Belts: 2,399 tons, 6.6 %
    - Torpedo bulkhead: 1,480 tons, 4.1 %
    - Armament: 2,033 tons, 5.6 %
    - Armour Deck: 2,961 tons, 8.1 %
    - Conning Tower: 189 tons, 0.5 %
 Machinery: 4,728 tons, 13.0 %
 Hull, fittings & equipment: 16,265 tons, 44.7 %
 Fuel, ammunition & stores: 3,310 tons, 9.1 %
 Miscellaneous weights: 0 tons, 0.0 %

Overall survivability and seakeeping ability:
 Survivability (Non-critical penetrating hits needed to sink ship):
   43,633 lbs / 19,792 Kg = 15.0 x 18.0 " / 457 mm shells or 6.2 torpedoes
 Stability (Unstable if below 1.00): 1.10
 Metacentric height 5.8 ft / 1.8 m
 Roll period: 17.1 seconds
 Steadiness - As gun platform (Average = 50 %): 51 %
   - Recoil effect (Restricted arc if above 1.00): 0.95
 Seaboat quality  (Average = 1.00): 1.01

Hull form characteristics:
 Hull has rise forward of midbreak,
   a normal bow and a cruiser stern
 Block coefficient (normal/deep): 0.532 / 0.536
 Length to Beam Ratio: 8.04 : 1
 'Natural speed' for length: 28.06 kts
 Power going to wave formation at top speed: 55 %
 Trim (Max stability = 0, Max steadiness = 100): 50
 Bow angle (Positive = bow angles forward): 10.00 degrees
 Stern overhang: -3.00 ft / -0.91 m
 Freeboard (% = length of deck as a percentage of waterline length):
    Fore end,  Aft end
    - Forecastle: 28.00 %,  33.00 ft / 10.06 m,  26.00 ft / 7.92 m
    - Forward deck: 35.00 %,  26.00 ft / 7.92 m,  26.00 ft / 7.92 m
    - Aft deck: 22.00 %,  18.00 ft / 5.49 m,  18.00 ft / 5.49 m
    - Quarter deck: 15.00 %,  18.00 ft / 5.49 m,  18.00 ft / 5.49 m
    - Average freeboard:  23.82 ft / 7.26 m

Ship space, strength and comments:
 Space - Hull below water (magazines/engines, low = better): 107.1 %
  - Above water (accommodation/working, high = better): 175.6 %
 Waterplane Area: 52,961 Square feet or 4,920 Square metres
 Displacement factor (Displacement / loading): 104 %
 Structure weight / hull surface area: 223 lbs/sq ft or 1,087 Kg/sq metre
 Hull strength (Relative):
  - Cross-sectional: 0.95
  - Longitudinal: 1.58
  - Overall: 1.00
 Hull space for machinery, storage, compartmentation is adequate
 Room for accommodation and workspaces is excellent