Effect of Shift of Cargo on Stability
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7/27/2019 Effect of Shift of Cargo on Stability
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Effect of Shift of Cargo on Stability
By: Mahdi Bordbar
Effect of Horizontal Shift of Cargo on Stability
Effect of Vertical & Horizontal Shift of Cargo on Stability
G G1
g g1
M
G
G1
Z
Z1
M
X
WW
g
M
GV
G
gh
GH
gv
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M
g
gv
gh
GvGh
G
B2
Z
Zv
WvWh
B1
X L
D
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Worked Example – A Vessel Loaded With Bulk Cargo Having a Displacement of 40000 MT And KG:
8.5 m, FSM of Slack Tanks is 3000 tm. During Heavy Weather 2000 MT of Cargo is Shifted 10 m
Horizontally and 2 m Vertically. Find The Angle of List Due to Shift of Cargo From Stability Curves
Using KN Cross Curve of Stability.
Heel 0 5 10 15 20 30 45
KN 0 0.912 1.917 3.08 4.29 6.208 8.47
Angle of Heel KN GZ
0 0 0 0 -0.342
5 0.912 0.165 0.507 -0.082
10 1.917 0.428 0.510 0.352
15 3.08 0.861 0.509 0.853
20 4.29 1.357 0.504 1.438
30 6.208 1.921 0.483 1.983
45 8.47 2.407 0.424 -0.342
To Obtaining Angle of List There Are Two Possible Ways in This Condition.
1- Draw Two Curves With Angle of Heel in The “X” Axis And GZ & in The
“Y” Axis. The Point Where Two Curves Intersect Each Other is The Angle of List.
2- Draw A Curve With Angle of Heel in The “Y” Axis And in The “X” Axis. The Point Where
Curve Intersect “X” Axis is The Angle of List.
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By First Method:
In This Figure the Red Curve Values Are GZs and the Blue Curve Values Indicate
as Described Before Where These Two Curves Intersect Each Other is The Angle of List.
Which in This Case is 11.2 Degrees.
By Second Method:
In Below Figure the Curve Values Are and the Where The Curve Intersect “X” Axis is The Angle of List. Which in This Case is Same as First Method And is Equal to 11.2 Degrees.
0
0.5
1
1.5
2
2.5
3
0 5 10 15 20 25 30 35 40 45 50
Angle of Heel
-0.5
0
0.5
1
1.5
2
2.5
0 5 10 15 20 25 30 35 40 45 50
Angle of Heel