R = 



8pg B 2 H' 



(X) 2 



\[r 



J* (y)dy 



[4] 



-1 



'0 ' » 'o ' 



The intennediate function c/'Vy) is given in this case by 



J*(y)=-2E UmypM'Ay (1-p)} +cosypM 1 {y(l-p)j>l [5] 



as can be seen by substituting the form of the waterline equation 77 in Equation [3]. 

 Here 



E n = 



1-e 



-d 



J = 



2 fly' 



'= $cosy$d$ 

 j=j $siny£d£ 



Graphs of E^ over i? - and of sin ypM[ < y (1 — p ) > +cosypM 1 >|y(l— p) >• over y were plot- 

 ted; from these the necessary values could be obtained. 



The integral was evaluated at the singularity y/ y = 1 by integrating over a narrow 

 range between y Q + y- (1 + e) where t < 0.01 using the formula 



rrj 



'"' (*)' 



^ / (F ^ 



J* 2 (y)dy = y J* 2 (y )V2l 



The main part of the integral 



(if 



,(i+e) V(y„ j 



J* 2 (y)dy 



was evaluated from the graphs of the integrand by means of a planimeter. The remainder 



,^wr 



J* 2 (y)dy 



was calculated from expansion of the integrand. 



The resistance was then calculated for two additional drafts, H = 20 inches and 10 

 inches, and at two Froude numbers for an infinite draft. 



