What is Statical Stability?
Statical Stability (as opposed to Dynamical Stability) is the ability of a vessel to return to her initial position after being forcibly inclined.
It is the measure of the righting moment at a given angle of heel.
Draw a vessel with a small angle of inclination showing all forces acting upon the vessel.
See image.

Changing from Stiff to Tender Vessel, Give Reasons for G to Rise.
Tender Vs Stiff

Tender, Standard and Stiff Vessel comparisons.
Stiff Vessel Advantages and Disadvantages
Adv:
Diadv
Tender Advantages and disad’s
Adv:
Disadv:
Explain Stable, Neutral and Unstable Equilibrium.
The GM of a vessel is a measure of its transverse stability and the position of G in relation to M, whether below, on or above it, dictates whether the vessel has positive, neutral or negative stability.
“Equilibrium” means that a body is at rest because any forces acting upon it are equal and opposite.
A vessel has heeled over due to an external force.
What happens once that external force has been removed is dependent on the GM and resulting GZ.
In mechanics we say that if, when the vessel is disturbed from her initial position by external forces, she tends to return to that position then she is in STABLE EQUILIBRIUM.
If this disturbance produces a tendency to move further away from the initial position on removal of the disturbing forces then the vessel is said to be UNSTABLE EQUILIBRIUM
Illustrate Stable Equilibrium

Illustrate Neutral Equilibrium
G and M are equal.

Illustrate Unstable Equilibrium

Explain and Illustrate Angle of Loll
How does it come about?
Only boxed shaped vessels.

Loll versus List
List:
Loll
How Can you correct Angle of Loll?
To achieve a reduction in KG under a controlled manner the following can be considered:
The reaction to the foregoing will create a greater angle and might
appear to be contradictory but this will not induce any sudden motion and the situation will be kept under control.
Explain “Righting Moment”
The Righting Moment is the best measure of a ship’s overall stability. It describes the ship’s true tendency to resist inclination and return to equilibrium.

Explain Righting Lever
Righting lever (GZ) is defined as the horizontal distance, measured in metres, between the centre of gravity (G) and the vertical line acting upwards of the centre of buoyancy (B1) when the ship is heeled.
§ The perpendicular distance between the weight vector and the buoyancy
vector is known as the righting arm or righting lever
§ Denoted as GZ
§ This is the lever that the vessel uses to return to equilibrium
§ i.e. To return to the upright with the forces of buoyancy and gravity
equal and opposite.
§ The longer the righting arm, the greater is the tendency for the vessel
to return to an upright equilibrium.
DIFFERENCE BETWEEN NEUTRAL STABILITY & ANGLE OF LOLL
Neutral Stability
A Vessel in Neutral stability has G and M in the same position i.e. there is no righting lever.
Vessel will sit at any angle, within the realms of initial statical stability.
However, when this vessel reaches the threshold of initial statical stability (10 degree’s) and beyond, the centre of buoyancy will move outboard sufficiently that a positive righting lever will be created.
Angle of Loll
Light Displacement
A ship’s lightweight or light displacement is the actual weight of the ship with no passengers, cargo, bunkers, lube oil, ballast, fresh water, stores, etc., on board.
Load Displacement
The loaded displacement is the weight of the ship loaded down to its load line marks, that is, loaded to its maximum capacity with passengers, cargo, bunkers, lube oil, ballast, fresh water, stores, etc., on board.
Ship’s Dead Weight
A ship’s deadweight is the difference in metric tons between the loaded displacement tonnage of the ship and the lightweight of the ship.
However, the difference between the loaded displacement tonnage and the lightweight does not reflect the cargo carrying capacity only, as deadweight also includes bunkers, stores, freshwater, etc.
Whats the Trigonometry Anachronim?
Trig Reminder
“SOH CAH TOA”
Sin Ø = Opposite / Hypoteneuse
Cos Ø = Adjacent / Hypotenuse
Tan Ø = Opposite /Adjacent
Right Angle Triangles only and any Triangle all angles must sum to 180°

Illustration of Righting Moment calculations.

Why use GM as a measure of Stability rather than GZ?
If Displacement may be assumed to be constant, the GZ must be the variable.
Righting Moment (RM) = W x GZ
GZ changes with the angle of heel.
It is a dynamic and constantly changing value, which makes it difficult to use as a datum or measure of stability.
In an upright vessel, GZ = 0.
GM is a static value which exists at all angles of inclination and in a static vessel.
It has a value in an upright vessel.
This is why GM is calculated and used as the measure of stability.
EFFECT OF HULL SHAPE ON VESSEL STABILITY?
KB and BM are affected by hull shape.
KM is affected by the beam of the vessel and hull shape will determine that beam and therefore KM at particular drafts.
The REG LYC Stability Criteria (Module 8) ensure that all hull designs are checked as safe before being put into service.