202 



llVl)R()l)V.\.\MiC;s IN Mill' Dl.SK.N 



Sec. ■f9.N 



for the prime stations. Tliis is fiifilitiitttl, for tlic 

 ABC ship. t>y iimking the orilinatc Dli equal to 

 100.3 units to a convenient scale, namely 100 

 times the 0-tiiml value. The ordinate DC is 

 made e(|Ual to I..') units, and C'E then e(tuals 

 99.0 units. In the original drawing for Fig. 41). Ci 

 one such ordinate unit represented 1 ft length in 

 the horizontal scale. 



\'II. The final (Mlinil coiiiputaliuii onliiialcs in 

 Col. F of Table ID. a are then enleretl as ordinates 

 in the second column of Taggart's form for Calcu- 

 lation of Curve Coeilicients in Fig. 49.11, following 

 which the computation outlined in that form is 

 carried through to obtain the numerical values 

 of the coefficients C, , Cj , Cj , and C, ■ 



Entering these coefficients in the forni for 

 Calculation of Constant Terms, at the top of 



Fig. 49.1, produces the numerical values of the 

 constant terms «, b, c, d, c, and /. Carrying through 

 the Check Calculation of Original Curve at the 

 bottom of Fig. 49.1 produces a series of cumu- 

 lative prtMlucts, which are the mathematically 

 faired O-iliml values of y for the "prime" stations 

 r through 10' on Fig. 49.G. These arc to be com- 

 liarcd with the unfaired Onliml values for the same 

 ])rime stations in Col. F of Table 49. a for an 

 indication of the modifications that were made 

 in the fairing process. The faired values are laid 

 down at the prime stations and the entrance 

 portion of the designed waterlinc in Fig. 49. G is 

 redrawn through them. 



The procedure described in steps I. through \l. 

 is then worked backward to find the O-diinl 

 2/-ordinates at tlic ship .stations, tlio B 'By values 



CALCULATION OF CONSTANT TERMS 

 For Desianed 26./63-ft Woterlme of Entrance of ABC Ship 



CHECK CALCULATION OF ORIGINAL CURVE 



Constants 



Multi pi lers 



+ 1.06914 



aiOO 000 0200000 0300000 OAOOOOO 0500000 Q600000 0700000 0800000 0900000 1.000 000 



b = 



+ 1.34388 



0.010000 ao40ooc 0090000 aieoooo 



0.250000 



0360000 0490000 



0.640000 0810000 



1.000000 



+ 1.79326 



aooi 000 Qooaooo ooziooo ODe^ooo 



0125000 0.2I6OOO 



-9.77676 



OlOOOlOO 0.001600 



aooeioo 



0.025600 a062500 



0129600 



0343000 

 Q240I0O 



0512000 



0.729000 iOOOOOO 



0.409600 



Q656I00 



1.000000 



+945252 



-2^8204 



aooooio 

 0.00000 ) 



Q00032C 0002430 0.0l0240a03l250 0.077760 



0.1680700327660 



0590490 



1.000000 



0000064 Q000729 



0X1040960.015625 0J346656 



0117649 



0262144 



0531441 



1.000000 



Cumulative ^ 



Product* J 



aiZI266 



0269127 04317860.592149 



0.734009 



0846120 



a 9 24203 



a 970876 Q993507 1.000000 



0.1 



aa 03 



OA 



0.5 



ae 



a? 



ae 



a9 



1.0 



I-'iri. -lo.l (!ai>i'i;i.ation or Ojnhtant Tbiims; Check Cau'iii-atidn ok Oiuiunai. C'uuvk 



