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 G 1 g g 1 M G G 1 Z  Z 1  M X    W W  g M G V G g h G H g v

Transcript of 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

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