Kaplan 



Table 1 

 Numerical Values of Moored- Barge System 



Length = I_ = 260 ft 



Beam = B = 48 ft 



Draft = 10 ft 



Vertical distance from CB to CG = |bg| = 9.8 ft 



Vertical distance from free surface to CG = (OG) = 5,1 ft 



Vertical distance from CG to keel 



Metacentric height 



Displacement 



Weight 



Mass 



Pitch moment of inertia 



Yaw moment of inertia 



Roll moment of inertia 



Total roll moment of inertia (including 

 added inertia due to fluid) 



Surge period 



Sway period 



Heave period 



Pitch period 



Roll period 



Effective spring constant for mooring 

 cable^ 



= |KG| = 15.1 ft 



= I GM I = 8.16 ft 



= 2823. 2 long tons 

 = 6.324X10^ lbs 

 = 197.624X10^ slugs 

 = 706. 7X10® slug-ft^ 

 = 706.7X10® slug-ft^ 



= W 

 = m 



= I 



= 49X10® slug-ft^ 

 = 78.69X10® slug-ft^ 



= Tsurge = 79 seconds 

 = Tgy^gy = 64.5 seconds 

 = Theave= 4. 6 seconds 

 = Tpitch = 4 seconds 

 = Troll = 7.75 seconds 



= C =1250 lbs/ft 



= 1250 lbs /ft 



= 3 750 lbs /ft 



= 633. 75X10^ Ib-ft/rad 



= 15 ft 



= ky 



= k»^ 



Effective mooring system spring constants: 



Surge = k, 



Sway 



Yaw 



Depth of barge 



'Assuming longitudinal gyradius = 0.25 L. 



Without added fluid inertia; it is assumed that transverse gyradius = 

 B/3. 



3For all motions these are uncoupled periods determined in terms of 

 effective spring constants and values of total masses or inertias. The 

 effects of coupling will change these somewhat, but for first approxi- 

 mations and interpretation of critical conditions , this, will suffice. 

 From model tests [ 7] . 

 Bridge strand wire rope, of cross section 0.595 in . 



1028 



