Initially the range of j3 was chosen as 0. 10 to 7.00, and values of ji equal to 

 0.10, 0.50, 1.00, 2.00, 5.00, and 10. 00 were used. Preliminary computations 

 for a typical design problem indicated that lower values of H would also be required, 

 and corresponding additional computations were carried out as shown in the results 

 which follow. 



Pierson and Holmes indicate the methods whereby the root -mean -square (RMS) 

 values of motion in each mode for each sea state may be determined. For the purposes 

 of this report, the oscillation of most concern is that in heave, and knowing the RMS 

 value of heave motions in sea state 4, for example, estimates can be made of the 

 extreme value of heave to be expected in a given time. This procedure thus provides 

 a basis for specifying the range of | Uq| to be used in determining values for use In 

 the design computations. The correlation between sea, ship, and cable stresses is 

 discussed further later on in the text in the application of the results obtained herein 

 to two hypothetical prototype cases. 



RESULTS 



As illustrated above In the theoretical analysis, the parameters influencing 

 the dynamic stresses can be tabulated as follows: 



Cable Parameters 



L = maximum length of cable 



max 



S = material cross-sectional area of cable 



w = weight of cable per unit length 



E = modulus of elasticity of cable 



1 1 = allowable maximum dynamic stress in the cable 



Load Parameters 



M = mass of the load 



A = cross-sectional area of the load 



C„ = coefficient of mass 

 m 



Cp^ = coefficient of drag 

 p = density of sea water 



Ship or floating Platform Motions In Heave 

 Uq = amplitude of heave 

 OJ - frequency of heave (rad/sec) 



