Pi-en and Lee 



which will be denoted by A, B and C respectively, as shown in 

 figure 2. First we will consider V^ , V^ and M 1 at the left edge 

 of the member A, which is the longitudinal centerline section of the 

 catamaran. 



Figure 2 - A simplified cross section for 

 loading analysis 



The expressions for these loadings can be given in the form 



of 



i+2 



(0) - f. 



for i = 2, 3. 



M (0) = M 





i 



p n. d 



yn 3 + (h 



- R! 



- z) 



n A 



di 



(35) 



(36) 



Here t[ are the inertial forces contributed by the mass of one-half 

 of the cross section, C R means the line integral in counterclock- 

 wise direction along the immersed contour of the right half of the 

 cross section at its mean position, the subscripted Rs are the 

 restoring forces and moment, MJ is the mass inertial moment, 

 and h« is as shown in figure 2. We can show that 



is as shown in figure 2 



f'z- 



2 



20 



+ x f 



60 



40 



(37) 



484 



