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Sample solution for righting moment
Use the following Stability Data Reference Book pages for
information on the Cargo Ship S.S. American Mariner or the Tank Ship
S.S. Northland to determine the correct answers to some of the
Your vessel's drafts are: FWD
17'-05", AFT 20'-01"; and the KG is 22.4 feet. What is the righting
moment when the vessel is inclined to 15˚
? (Use the reference material in Section 1, the blue pages, of the
Stability Data Reference Book)
A. 10,656 foot-tons (Correct) B.
12,340 foot-tons (Incorrect) C. 13,980 foot-tons (Incorrect) D. 17,520 foot-tons
Find Mean Draft.
Fwd Draft 17'-05" + Aft Draft 20'-01" =
Mean Draft = 37'-06"/2
Mean Draft =
Find the displacement of the vessel by
using the mean draft and the Deadweight Scale (Blue Pages).
Find the change in the center of
gravity between the actual KG and the assumed KG for the vessel..
Actual KG: 22.4'
GG1: = 2.4'
Find the corrected righting arm due the
change in the center of gravity.
correction = GG1 x Sin Angle (angle of
= 2.4' x Sin 15˚
= 2.4' x .2588 (.2588 is Sin 15˚
to four decimal places. Not .25 stated in the Cross Curves.
Corrected GZ = GZ -correction
*** for GZ, find the intersection of
the curved line for inclination (15˚)
and displacement tonnage
(9,450) in the Cross Curves (Blue
Find the righting moment.
Righting Moment = GZ x Weight
= 1.13' x 9,450 tons
(correct answer is A)
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