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Ship Righting Arm (GZ Curve) & Dynamic Stability Calculator

Easily calculate and compute ship righting arm (gz curve) & dynamic stability calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
0.43 m·rad

Dynamic Stability Area under GZ Curve to 40° (A_40)

Dynamic Stability Area under GZ Curve to 40° (A_40)

0.43 m·rad

Righting Arm Gz At30 Deg Meters

1.65

Righting Arm Gz At40 Deg Meters

1.051

Imo Criteria Compliance

FULLY COMPLIANT WITH IMO A.749 CODE

0.43 — m·rad

Calculation Breakdown

  1. Applied FormulaEvaluates statutory IMO A.749 intact stability code criteria: maximum righting arm GZ_max, angle of vanishing stability θ_v, and cumulative dynamic energy area under the GZ curve.GZ(\theta) = KN(\theta) - KG \sin\theta, \quad \text{Area}_{0-40^\circ} = \int_0^{40^\circ} GZ(\theta) \, d\theta \ge 0.090 \text{ m}\cdot\text{rad}

Ship GZ Righting Arm Curve Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Dynamic Stability Area under GZ Curve to 40° (A_40)

What Is the Ship Righting Arm (GZ Curve) & Dynamic Stability Calculator?

This tool computes ship righting arm (gz curve) & dynamic stability calculator with high precision arithmetic.

How Does the Ship Righting Arm (GZ Curve) & Dynamic Stability Calculator Work?

Evaluates statutory IMO A.749 intact stability code criteria: maximum righting arm GZ_max, angle of vanishing stability θ_v, and cumulative dynamic energy area under the GZ curve.

Ship Righting Arm (GZ Curve) & Dynamic Stability Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

GZ(θ)=KN(θ)−KGsin⁡θ,Area0−40∘=∫040∘GZ(θ) dθ≥0.090 m⋅radGZ(\theta) = KN(\theta) - KG \sin\theta, \quad \text{Area}_{0-40^\circ} = \int_0^{40^\circ} GZ(\theta) \, d\theta \ge 0.090 \text{ m}\cdot\text{rad}

Evaluates statutory IMO A.749 intact stability code criteria: maximum righting arm GZ_max, angle of vanishing stability θ_v, and cumulative dynamic energy area under the GZ curve.

How to Use the Ship Righting Arm (GZ Curve) & Dynamic Stability Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Ship Righting Arm (GZ Curve) & Dynamic Stability Calculator Example

Input Values:

crossCurveKn30DegMeters:5.85
crossCurveKn40DegMeters:6.45
verticalCenterOfGravityKg:8.4
initialGmMeters:1.45
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required m·rad.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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