Substituting these expressions into the horizontal wave force equation 

 yields : 



cos 9 cos 



sin 6 



(A59) 



or ¥^ = Cq Fpj^ cos 9 |cos 9| - C^ Fj^ sin 9 



(A60) 



where 



,2 .2lTZ, 

 PATT^H^ cosh [-J-) 



Dh 



2t' sinh^ C^ld) 



(A61} 



FMh 



pv2TT^H '^"^^ ^-jr^ 



T sinh i^ 



(A62) 



The expressions Fqj^ and F|^ are constant for a given set of wave and 

 pipeline conditions. 



The horizontal conponent of the wave-induced force can also be 

 written as: 



Fj^ = A2 cos 9 |cos9| + B2 sin 



(A63) 



where 



Ao = Cn Fnu = 1/2 Cp P A u„_ |u 



"2 D ' Dh 



max ' max ' 



(A64) 



136 



