an imaginary piling up to the bottom of the fender is subtracted from a similar term for the 

 top of the fender. The dimensionless forces are obtained by subtracting the dimensionless 

 force components pertaining to the bottom of the member from those pertaining to the top. 

 If the top of the member is submerged, the value at S'^.^ = 1-1 should be used; for times that 

 the top is not submerged, the value indicated "Surface" should be employed for S'^.^ . Note 

 that the selection of the proper value for the member upper elevation follows readily from 

 the tables; the values at S'^ =1.1 are used at phase angles where they are tabulated 

 (O<0<2O°) and the values labeled "Surface" are used for the remaining phase angles 

 (3O°<0<18O°). 



Summarizing, for each phase angle, the net dimensionless force components on Member c 

 are obtained by: 



^i 



= F. 



- F. 



•p ' = F ' - F ' 

 ^N ^U ^L 



where the subscripts, N, U and L indicate net, upper and lower. The dimensionahzing 

 constant for drag force for the member is calculated (recalling that D = 3 ) 



r pD(H/T)2 ^ 



Jd = 0.3 245 kips 



and for the inertia force component 



r puD^ (H/T2)h 



= 0.0687 kips 



The required calculations are summarized in Table I and the results are shown in Figure 33. 



The maximum horizontal wave-induced forces are now available for the design wave, and 

 may be used in further design analysis. They are summarized in Table J. 



Moments on Member "a" 



The moments due to the wave forces acting on the structure are also essential in design. 

 For any member, the moment about the mudline is defined as: 



M^O) = 



fSz 



S dF^(e,S) = 



s dFp(e,s) + 



Si 'Si 



s dF^(e,s) 



= Mj^(0) + Mj(e) 



65 



