SHIP.BUILDING. 



Operation/or the Plane of the Upper Horizontal Water-Line. 



To find the centre of gravity of the plane abaft 26, 

 from 37, its firft ordinate. 



Half of 37 ordinate is 

 Whole of 36 



35 - - 



34- - - 



33 - - 



32 - - 



31 - - 



30 - - 



29 - , - 



28 - - 



Ft. Ib. 



z 7 



19 2 



27 2 



32 I 



34 10 



3r o 



Mult. 



Half of 



27 

 26 



38 

 40 



41 

 42 



43 



Diflant 



from 37- 



by I = 



2 = 



3 = 



4 = 



5 = 



6 = 



7 



Produas. 

 Fl. In. 



21 10 



19 



54 

 96 



139 

 185 



231 

 280 



8 = 328 



9 = 379 

 431 

 240 



10 

 II 



Sum 

 Multiply by 



Area 



379 6 Sum 2384 5 



2 9 dift. between ord. 2 9 



1043 ll 



Divide by the fum of the ordinates - 379 6 ) 6557 ij 



Centre of gravity 



Diftance of the ordinate 37 from the aft-fide 1 

 of the rudder - . - - - 3 



Centre of gravity from aft-fide of the rudder 



Diftance of the centre of gravity of the~j 

 feftion of the rudder and ftern-poft from > 

 the aft-fide of the rudder is - - -J 



17 3i 



6 9 



24 o^ 



3 5 



To find the centre of gravity of the plane between 26 

 and O, from 26, its firft ordinate. 



Half of 26 ordinate is 

 Whole of 22 



18 . - 



14 . . 



10 - - 



6 - . 



2 - - 



i;> : : 



F - . 



K . - 



Half of O . . 



F(. In. 



21 10 

 II 



7 

 4 



Diftant 

 from -26, 



Pfodufls. 

 Ft. In. 



45 

 47 

 48 

 48 

 48 

 48 

 48 

 48 

 48 

 48 

 23 



Mult, by I = 



I 



2 

 3 

 4 

 5 

 6 



7 

 8 



9 

 10 

 II 



45 



95 



145 



196 



243 

 292 



340 

 389 

 438 

 480 



253 



II 

 2 

 o 



8 



4 

 o 

 8 



4 



o 



o 



II 



Sum 



Multiply by 



Area 



526 9 Sum 2920 o 



1 1 o dift. between ord. 1 1 o 



5794 3 



Divide by the fum of the ordinates - 5269)32120 



Centre of gravity ..... 



Diltance of the ordinate 26 from the aft-fide 7 



of the rudder . - . - - \ 



Centre of gravity from aft-fide of the rudder 98 jf 



61 

 37 



To find the centre of gravity of the plane before 0; 

 from O, its firll ordinate. 



Half of O ordinate is 



Whole of P - - 



Q - - 



R - - 



S - - 



T - - 



U - - 



W - - 



X - - 



Y - - 



Half of Stem - - 



Sum 

 Multiply by 



Ft. In. 



23 I 



45 



43 



41 



38 



36 



3' 

 26 



19 



10 



o 



Mult. 



2 

 8 



10 

 o 

 8 

 3 

 4 

 8 



lO 



316 8 Sum 1224 7 



2 9 dift. between ord. 2 9 



Area 



870 10 



Divide by the fum of the ordinates . 316 6 



Centre of gravity . . . . . 



Diftance of the ordinate O from the aft-fide 1 



of the rudder - - - . . j 



Centre of gravity from aft-fide of the rudder 



Centre of gravity of knee before the ftem is 

 Diftance of the centre of gravity of the "J 

 feftion of the knee, before the aft-fide of > 

 the rudder, is - - - - -J 



Areas of the feveral planes, and their momenta. 



Ft. 



Area of the after-plane 1043 7 2 

 1043 l\ Mult, by 24 05 its momentum = 



Area of the midihip-plane 5794 3 

 5794 3 Mult, by 98 jf its momentum = 

 Area of the fore -plane 870 10 

 870 10 Mult, by 168 yi its momentum = 

 Area of rudder and poft 10 l^ 

 10 li Mult, by 3 5 its momentum = 



Area of the knee 3 o 

 3 o Mult, by 186 6 its momentum = 



Ft. In. 



25067 

 570612 

 146844 



6| 



3i 



34 7i 

 559 6 



7721 10 Whole areas. Sum of momenta 743 118 7I 



Now 743118 ft. 7f in. divided by 7721ft. loin, gives 

 96 ft. 2| in., the diftance of the centre of gravity of the 

 whole feftion of the upper horizontal water-line from the 

 aft-fide of the rudder. 



Operation 



