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A Brief By Lance GrindleyA Brief By Lance Grindley
VESSEL STABILITYVESSEL STABILITY
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Stability - the tendency of a vessel to
rotate one way or the other (to right itselfright itself
or overturn)
Initial Stability - the stability of a vessel in
the range from 0° to 7°/10°0° to 7°/10°
Definitions
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Definitions
Overall Stability - a general measure of a
vessel's ability to resist capsizingresist capsizing in a
given condition of loading
Dynamic Stability - the work donework done in
heeling a vessel to a given angle of heel
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Roll – side to side or port to starboard.
(Rotate about longitudinal axis)
Pitch – up down or bow to stern. (Rotate
about transverse axis)
Yaw – twisting (rotate about vertical axis)
Sway – “sliding” laterally or side to side
Heave – up down as in lifted by waves.
Surge – “sliding” longitudinally or front back
Six Motions Of A Ship
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Definitions
ROLL - The action of a vessel involving
a recurrent motion (Longitudinal Axis).
HEEL - Semi-permanent angle of
inclination, caused by external
forces.
LIST - Permanent angle of inclination
caused by a shift in the center of
gravity, -GM, or both.
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Laws Of Buoyancy
• A floating object has the property of buoyancy
• A floating body displaces a volume of water
equal in weight to the weight of the body.
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DISPLACEMENT
00
G
Capital W =
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DISPLACEMENT
04
G
B
Capital W =
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DISPLACEMENT
09
G
B
Capital W =
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DISPLACEMENT
16
G
B
Capital W =
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DISPLACEMENT
20
G
B
Capital W =
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Laws Of Buoyancy
• A floating object has the property of buoyancy.
• A floating body displaces a volume of water
equal in weight to the weight of the body.
• A body immersed (or floating) in water will
be buoyed up by a force equal to the weight of
the water displaced.
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DisplacementDisplacement
► The weight of the volume of water that theThe weight of the volume of water that the
ship's hull is displacingship's hull is displacing
► Units of weightUnits of weight
long ton =long ton = 2240 lbs2240 lbs
short ton =short ton = 2000 lbs2000 lbs
metric tonne =metric tonne = 2204.72 lbs2204.72 lbs
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A push or a pull.
Tends to produce motion or a change in
motion.
Units: TONS, POUNDS, ETC.
Force
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Force
Parallel forces may be combined into one force
equal to the sum of all forces acting in the same
direction and so located to produce the same
effect.
5 T
5 T
5 T
15 T
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WEIGHT: Gravitational force. Direction toward
center of earth
UNITS: TONNES, LONG TONS, POUNDS, etc
MOMENT: The tendency of a force to produce
rotation about an axis
MOMENT = F x d
a
d
F
UNITS: TONNE-M3, FT-POUNDS, etc
F is the force of your hand while d is the length of
your “wrench” & Moment is the torque applied.
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VOLUME - Number of cubic units in an
object
UNITS: Cubic Feet, Cubic Inches, Cubic
Meters
V = L x B x D
2 m
3 m
1 m
V = 3 m x 2 m x 1 m
V = 6 m3
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Salt water = 0.9756 m3
/t
Fresh water = 1 m3
/t
SPECIFIC VOLUME - Volume per unit weight
UNITS: CUBIC METRES PER TONNE
2 m
3 m
1 m
V = 6 m3
wflooding = Volume
Sp. Vol
wflooding = 6 m3
0.9756m3
/tonne
wflooding = 6.15 tonnes
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Stability Reference Points
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Stability Reference Points
CL
M
G
B
K
etacenter
ravity
uoyancy
eel
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Stability Reference Points
CL
M
G
B
K
other
oose
eats
ids
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B
WATERLINE
RESERVE BUOYANCY
B1
B
The Center Of Buoyancy
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B
WATERLINE
RESERVE BUOYANCY
Reserve Buoyancy, Freeboard,
Draft and Depth Of Hull RememberRemember
this color!!this color!!
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Center Of Buoyancy
B
WLWL
B
WL
B
WL
B
WL
B
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B
BB
B
BB
B
B
B
RULE OF THUMBRULE OF THUMB
= “B” FOLLOWS= “B” FOLLOWS
THE WATERLINE.THE WATERLINE.
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G
G1
KGo
KG1
G
G1
KGo
KG1
The Center Of
Gravity
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Center Of GravityCenter Of Gravity
► Point at which all weights could be concentrated.Point at which all weights could be concentrated.
► Center of gravity of a system of weights is found byCenter of gravity of a system of weights is found by
taking moments about antaking moments about an assumedassumed center of gravity,center of gravity,
moments are summed and divided by the total weightmoments are summed and divided by the total weight
of the system.of the system.
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Movements In The Center OfMovements In The Center Of
GravityGravity
► G MOVESG MOVES TOWARDSTOWARDS A WEIGHTA WEIGHT ADDITIONADDITION
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Movements In The Center OfMovements In The Center Of
GravityGravity
► G MOVESG MOVES TOWARDSTOWARDS A WEIGHTA WEIGHT ADDITIONADDITION
► G MOVESG MOVES AWAYAWAY FROM A WEIGHTFROM A WEIGHT REMOVALREMOVAL
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G
G
G
G
G
G
G1
KG1
KGo
G
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Movements In The Center OfMovements In The Center Of
GravityGravity
► G MOVESG MOVES TOWARDSTOWARDS A WEIGHTA WEIGHT ADDITIONADDITION
► G MOVESG MOVES AWAYAWAY FROM A WEIGHTFROM A WEIGHT REMOVALREMOVAL
► G MOVES IN THEG MOVES IN THE DIRECTIONDIRECTION OF A WEIGHTOF A WEIGHT
SHIFTSHIFT
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G1
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The Metacenter
CL
B
B20
B45
M
M20
M45
M70
B70
METACENTER
M
B B1 B2
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Metacenter
BBBBBB
B
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Metacenter
B SHIFTS
M
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CL
B
M
0o
-7/10o
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CL
B B20
M
M20
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C
L M
M20
M45
B
B20 B45
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CL
B
B20
B45
M
M20
M45
M70
B70
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CL
M20M45
M70
M90
B
B20
B45
B70
B90
M
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Movements Of The MetacenterMovements Of The Metacenter
THE METACENTER WILL CHANGE POSITIONSTHE METACENTER WILL CHANGE POSITIONS
IN THE VERTICAL PLANE WHEN THE SHIP'SIN THE VERTICAL PLANE WHEN THE SHIP'S
DISPLACEMENTDISPLACEMENT CHANGESCHANGES
OROR
► WHEN B MOVES UP M MOVES DOWN.WHEN B MOVES UP M MOVES DOWN.
► WHEN B MOVES DOWN M MOVES UP.WHEN B MOVES DOWN M MOVES UP.
RULE OF THUMB = “M” MOVES OPPOSITE OF “B”RULE OF THUMB = “M” MOVES OPPOSITE OF “B”
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M
G
B
M
G
B
G
M
B
M1
B1
G
M
B
M1
B1
G
M
B
M1
B1
G
M
B
M1
B1
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CL
M
G
B
K
GM
KG
BM
KM
Linear Measurements In
Stability
⇐⇐ METACENTRIC HEIGHTMETACENTRIC HEIGHT
HEIGHT OF METACENTERHEIGHT OF METACENTER ⇒⇒
METACENTRIC RADIUSMETACENTRIC RADIUS ⇒⇒
⇐⇐ HEIGHT OF GRAVITYHEIGHT OF GRAVITY
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The Stability TriangleThe Stability Triangle
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M
G
ZCL
K
B
G
M
The Stability Triangle
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CL
K
B
G
MM
CL
G
B
K
B1
CL
M
G
B
K
B1
CL
M
G
B
K
B1
CL
K
B
G
M
B1
Z
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M
G Z
Where:Where:
opposite = GZopposite = GZ
hypotenuse = GMhypotenuse = GM
Sin q = GZ / GMSin q = GZ / GM
GZ = GM x Sin qGZ = GM x Sin q
Growth of GZ with GMGrowth of GZ with GM
SinSin θθ = opp / hyp= opp / hyp
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CL
K
B
G
M
G1
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G
M
Z
G1 Z1
AS METACENTRIC
HEIGHT (GM)
DECREASES,
RIGHTING ARM (GZ)
ALSO DECREASES
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G
B
MINITIAL
STABILITY
0 - 7°
CL
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M
ZG
B B1
CL
OVERALL
STABILITY
RM = GZ x Wf
FINAL DISPLACEMENT
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Conditions of StabilityConditions of Stability
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G
B1
M
Z
G
B1
M
B
G
B1
M
B
The Three Conditions of
Stability
POSITIVE
NEUTRAL
NEGATIVE
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CL
K
B
G
M
Positive Stability
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CL
K
B
G
M
B1
Z
Positive Stability
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CL
K
B
GM
Neutral Stability
WHAT COULD CAUSE
NEUTRAL STABILITY ?
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CL
K
B B1
Neutral Stability
GM
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CL
K
B
G
M
Negative Stability
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K
B
G
M
B1
Negative Stability
WHAT HAPPENS WITH
NEGATIVE STABILITY ?
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NEUTRAL STABILITY IS AS BAD AS NEGATIVE
STABILITY, BECAUSE IF YOU GET TO NEUTRAL,
SOMETHING “OUTSIDE YOUR CONTROL” WILL PUSH
YOU OVER THE EDGE!!
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Free Surface EffectFree Surface Effect
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Free Surface EffectFree Surface Effect
► Free Surface Effect can become aFree Surface Effect can become a
problem in a partially flooded vessel.problem in a partially flooded vessel.
► The partially flooded vessel and the waterThe partially flooded vessel and the water
in her, will respond to the craft's heave, ,in her, will respond to the craft's heave, ,
pitch, roll, surge, sway or yaw, e.g as thepitch, roll, surge, sway or yaw, e.g as the
vessel rolls to port the water inside willvessel rolls to port the water inside will
move, so that much of it is now on themove, so that much of it is now on the
port side of the vessel, and this will moveport side of the vessel, and this will move
the craft's centre of gravity and center ofthe craft's centre of gravity and center of
moment towards port. This has the effectmoment towards port. This has the effect
of slowing the craft's return to vertical.of slowing the craft's return to vertical.
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Free Surface EffectFree Surface Effect
► The free surface effect then becomesThe free surface effect then becomes
worse if the vessel then rolls through theworse if the vessel then rolls through the
vertical to starboard. It takes time for thevertical to starboard. It takes time for the
liquid in the vessel to respond and moveliquid in the vessel to respond and move
to the starboard side.to the starboard side.
► After the craft rolls through the verticalAfter the craft rolls through the vertical
towards right (starboard), most of thetowards right (starboard), most of the
liquid moving in the craft's tank thenliquid moving in the craft's tank then
slams into the right (starboard) side of theslams into the right (starboard) side of the
tank.tank.
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Free Surface EffectFree Surface Effect
► This has the effect of causing the vesselThis has the effect of causing the vessel
to heel further over, as the water massto heel further over, as the water mass
hits the sides of the vessel. In stronghits the sides of the vessel. In strong
winds, and heavy sea, this can become awinds, and heavy sea, this can become a
positive feedback loop, causing each rollpositive feedback loop, causing each roll
to become more and more extreme, untilto become more and more extreme, until
the vessel capsizes.the vessel capsizes.
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Free Surface EffectFree Surface Effect
► The higher up this water movementThe higher up this water movement
occurs, especially above either the craft'soccurs, especially above either the craft's
center of buoyancy or center of gravity,center of buoyancy or center of gravity,
the more pronounced the instabilities.the more pronounced the instabilities.
► If this vessel is being towed, it couldIf this vessel is being towed, it could
capsize, and take the towing vessel withcapsize, and take the towing vessel with
it.it.
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Free Surface EffectFree Surface Effect
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Draft Marks and Plimsoll LinesDraft Marks and Plimsoll Lines
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How to read draft marks…How to read draft marks…
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Plimsoll MarkPlimsoll Mark
The Plimsoll Mark diagrammed above is for the
starboard side of a vessel; on the port side, the
markings are reversed. The center of the disk
is placed at the middle of the loadline. The lines
are one inch think.
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Plimsoll MarkPlimsoll Mark
The letters signify:
LTF Lumber, Tropical, Fresh
LF Lumber, Fresh
LT Lumber, Tropical
LS Lumber, Summer
LW Lumber, Winter
LWNA Lumber, Winter, North
Atlantic
LR Lloyds Register of
Shipping
TF Tropical Fresh Water Mark
F Fresh Water Mark
T Tropical Load Line
S Summer Load Line
W Winter Load Line
WNA Winter Load Line, North
Atlantic
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Thumb RulesThumb Rules
► B follows the WaterlineB follows the Waterline
► M moves opposite of BM moves opposite of B
► G movesG moves
 Towards additionTowards addition
 Away from removalAway from removal
 Direction of shiftDirection of shift
► ““G moves faster than M”G moves faster than M”
► ““G isG is nearnear the waterline”the waterline”
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These Guys Got it WrongThese Guys Got it Wrong
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Stability lrg

Editor's Notes

  • #25 Technically the reserve buoyancy of a ship is measured from the waterline to the DC deck. The minimum amount of reserve buoyancy required to meet a ship’s stability design criteria is from the limiting draft marks to the DC deck. RESERVE BUOYANCY IS OUR FRIEND!!!
  • #63 VESSEL IN FORGROUND NORMALLY SAILS WITH 4-5 PEOPLE. VESSEL IN BACKGROUND NORMALLY SAILS WITH 7-8 PEOPLE. AS A “JOKE” THE VESSEL IN THE BACKGROUND “BOARDED” THE VESSEL IN THE FOREGROUND. I.E. LARGE TOPSIDE WEIGHT ADDITION. REMEMBER “G STARTS OFF NEAR THE WATERLINE.”
  • #64 IMMEDIATELY START TO LIST DUE TO NEUTRAL GM… POSSIBLY SLIGHTLY NEGATIVE
  • #65 THEY ARE AT THE NEUTRAL STABILITY POINT OR SLIGHTLY NEGATIVE GM POINT. NOTICE THAT THE MAIN SAIL IS NOT FILLED WITH WIND.
  • #66 AS SOON AS THE SAIL FILLS…
  • #67 OVER THEY GO. NOTICE INDIVIDUAL IN PINK (WHO WAS THE HIGHEST OF THE TOPSIDE WEIGHT ADDITIONS) WALKS DOWN THE MAST.
  • #70 GETS TO THE KEEP AND …
  • #71 STARTS HELPING PEOPLE IN THE WATER.
  • #72 THEN THEY FILE THE INSURANCE CLAIM. MORAL OF THE STORY: NEUTRAL GM IS AS BAD AS NEGATIVE GM BECAUSE IF YOU GET TO THE NEUTRAL STABILITY POINT, SOMETHING OUT OF YOUR CONTROL LIKE WIND, WAVES, RUDDER FORCES ETC, WILL “PUSH” YOU OVER THE EDGE AND YOU WILL CAPSIZE. THE GOAL OF THE DCA IS TO KEEP WELL CLEAR OF THE NEUTRAL STABILITY POINT.