LUCIA FOR THE UNITED STATES SHIPPING BOARD. 47 



Reserve buoyancy 1,140 



Average reserve freeboard 33" 



Stability calculations (Plate 27). 



Transverse Stability. 



In the following calculations the section modulus of the water plane is taken as 

 0.7 of the section modulus of the circumscribing rectangle. 



It is to be noted that these calculations are approximate, and that their only ob- 

 ject is to show that the ship is more stable when bilged than under ordinary condi- 

 tions. All moments are figured for a heel of i foot in 100 feet. 



Ship Torpedoed Light. All Compartments Flooded. 

 Water Plane Moment : — 



+ 0.7 X 53 >< 400 X — X 0.261; = +970 foot-tons. 

 6 35 



Free Ballast Water Moment : — 



- 30 X 400 x-l-xo.is= -2SS foot-tons. 

 . 6 35 



Weight Moment: — 



— 6,000 X 0.055 = — 330 foot-tons. 



Stability Moment^ +385 foot-tons. 

 Metacentric Height = + 6.4 feet. 



Ship Torpedoed Loaded. All Compartments Flooded. 

 Water Plane Moment : — 



+0.7 X J^ ^^ — X — X 0.255 = +884 foot-tons. 

 6 35 



Free Ballast Water Moment: — 



-0.4 X - — '^^ — X — X 0.15 = -102 foot-tons. 

 6 35 



Weight Moment : — 



— 15,000 X o.oi = — 150 foot-tons. 



Stability Moment = + 632 foot-tons. 

 Metacentric Height = + 4.2 feet. 



