Motion and Resistance of a Low-Waterplane Catamaran 



a 23 (x) = a 25 (x) = b 23 (x) - b 25 (x) = 

 a 26 (X) = X a 22 (x) b 26 W = X b 22 W 



V (*) = - co 2 / m(s) ( S 30 s i 5Q ) 



f 



?, ^C(S] ^ J ^ °" * (32) 



w / Y 3 Y In 



d-f - ( co 2 A 33 (x) + jo, B 33 (x)) ^ 3Q 



C(S) 

 ( <^ 2 A 35 (x) + jcoB 35 (x)) ^ 5Q + U j (jcoa 33 (x)- b^x))^ 



4 + 4/ 



+ (j«a <*) -b 35 (x))^ 5 / + Pg/ b(B)(« 30 - s^ 5Q )ds 



in which 



a 35 (x) = - x a 33 (x) b^ 5 (x) = - x b 33 (x) 



The horizontal bending moment M 2 and the longitudinal 

 bending moment M-. can be obtained by 



M 2 (X) = / V 2 ( 





M 3 (X) = / V 3 (S) dS (M) 



The previously described loadings V 2 , V 3 , M 2 and M 3 

 are obtained in exactly the same way as for monohull ships. However, 

 to obtain the remaining loadings, the loadings on each hull should be 

 separately studied. We would like to obtain the shear forces and 

 bending moment at the various locations over a transverse cross 

 section. The loadings V^ , V 5 and M 1 fall in this category. 



Let us corisider the right half of a cross section, located x 

 from the origin. The structural members of this section will be divi- 

 ded into three parts : the cross -deck, the strut, and the main hull _ 



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