36 



Figure 16 - Ship Lines, Basic Family (3,^,6; ^ ,t) t = 1 



added. Thus various form parameters mentioned earlier (page 6) can be intro- 

 duced; new parameters may be found by analyzing calculated resistance curves. 



The calculation of vrave resistance for sets of lines which cover the 

 whole range involves a considerable but not prohibitive amount of work. The 

 procedure adopted is outlined below. 



As the first step, elementary ships symmetrical with respect to .the 

 midship section are analyzed. Further steps will deal with asymmetry and gen- 

 eral forms of hulls. 



In the equation 



n = x(|) z(f) 



let X(^) represent the longitudinal distribution of displacement and contain 

 a great number of members with arbitrary parameters, Z(f) may be of simpler 

 form. 



To 

 each pov/er ^^ in y ^ corresponds a function 



d^ 



\(y) = J ^" sin y^d| 



[17] 



Grouping products of these functions ¥i{y) in an appropriate manner 

 and performing a further integration of these products multiplied by some 

 other factors, some fundamental values are obtained and tabulated. From 



