626

NICHOLLS'S SEAMANSHIP AND NAUTICAL KNOWLEDGE

Where L is the length oi the vessel

d is the draught
EM the longitudinal metacentric height.

8. Total trim

Trim moment
I.T.M.

T v> T>

9. T.P.I. = j^—~K for box-shaped vessels.

-./.m-^-r LxBx Coefficient , ,. , , .

10. T.P.I. =---------j2—05-------- for ship-shaped vessek.

B2

11. Transverse BM = ^3 *or box-shaped vessels.

where B is the breadth and d the draught.

B2

12. BM = 53- is constant for a triangular body apex down

13. Longitudinal GM = f^for box-shaped vessels.

Stability equations are simplified when applied to box-shaped
vessels of rectangular form as indicated by the following worked
examples. A few similar examples for practice are given in the
exercises which follow from number 34 onwards.

On a vessel of displacement 4000 tons and transverse metacentric
height 1'8 feet, a weight of 12 tons is moved 40 feet across the deck,
find the angle of heel.

40X12

Cot 6=

GM

- 4,000 "~ *

1-8 log 0-255273
•12 log 9-079181

Angle of heel 9^3° 49' Cot 11-176092