Page 118 - statbility for masters and mates

106 Ship Stability for Masters and Mates
1 B2 KB 2draft BM 12d
52 KB 1m BM 12 2
KB 1:00m
BM 1:04 m
KM 2:04m
KG 1:50 m GM 0:54 m
Ans. GM 0:54 m
Example 2
BM 1:04 m
A vessel is in the form of a triangular prism 32 m long, 8 m wide at the top, and 5 m deep. KG 3.7 m. Find the initial metacentric height when ¯oating on even keel at 4m draft F and A.
Let `x' be the half-breadth at the waterline, as shown in Figure 12.4.
Then
KB 2=3 draft 2=3 4
KB 2:67m
B2 BM 6d
6:4 6:4 6 4
BM 1:71 m
KB 2:67 m
BM 1:71 m
KM 4:38m
KG 3:70 m GM 0:68 m
x4 45 x 16
; The breadth at the waterline 6:4 m
5
x 3:2 m
Ans. GM 0:68 m
Note how the breadth `B' would decrease at the lower drafts. See also Figure 12.6(b).
Fig. 12.4