Gz Curve Max

MARITIME – HULL & NAVAL ARCHITECTURE CALCULATOR Gz Curve Max A precise tool.
πŸ“–
What is the Gz Curve Max & How does it work?
In naval architecture the transverse static stability of a vessel is expressed by the righting arm GZ, which is the horizontal distance between the centre of gravity G and the centre of buoyancy B when the ship is heeled through an angle (theta). The GZ curve, plotted as a function of (theta), provides a visual representation of how the ship resists overturning. The peak of the GZ curve – the maximum righting arm – occurs at a specific heel angle where the derivative of GZ with respect to (theta) is zero. This angle, often called the angle of maximum stability, together with the corresponding GZ value, is a key design indicator for safety and comfort. The calculator below uses the classic linear‑quadratic expression for GZ, incorporating the metacentric height (GM), the transverse water‑plane inertia (I_T) and the ship’s displacement (Ξ”). By entering these parameters you obtain the angle of maximum stability and the associated maximum GZ, helping you assess whether the hull meets stability criteria.
GZ(theta) = GMsintheta – frac{I_T}{Delta}sinthetacostheta
GM = metacentric height (m) ; I_T = transverse water‑plane inertia (m⁴) ; Delta = displacement (tonnes)
βš™οΈ
Parameters
Result β€”
❓
Frequently Asked Questions
What is the GZ curve in maritime engineering?
The GZ curve shows how a ship resists overturning by plotting the righting arm GZ against heel angle ΞΈ.
How do I find the maximum righting arm on a GZ curve?
The maximum righting arm occurs at the peak of the GZ curve, where the derivative of GZ with respect to ΞΈ is zero.
Why is the GZ curve important in naval architecture?
The GZ curve helps determine a ship’s stability and its ability to resist capsizing under various heel angles.
Can you explain what the righting arm GZ represents?
The righting arm GZ is the horizontal distance between the center of gravity (G) and the center of buoyancy (B) when a ship heels through an angle ΞΈ.
How does the GZ curve change with different vessel designs?
Different vessel designs will have varying GZ curves, reflecting differences in stability characteristics such as displacement and hull shape.
What factors affect the maximum righting arm of a ship?
The maximum righting arm is influenced by factors like the ship’s center of gravity, buoyancy distribution, and structural design.
How does the GZ curve relate to a ship’s angle of vanishing stability?
The angle of vanishing stability is where the GZ curve intersects the horizontal axis, indicating the maximum angle at which the ship can heel without capsizing.

Results are for informational purposes only and do not constitute professional advice.