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Angle of Heel at GZ Max Calculator

Calculate the angle of heel at which maximum righting arm (GZ max) occurs

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About This Calculator

The Angle of Heel at GZ Max calculator is a professional tool for calculating the angle of heel at which the maximum righting arm (GZ max) occurs for vessel stability analysis. This angle is a critical stability parameter used in marine engineering and naval architecture to assess vessel safety and compliance with stability standards. Note that this calculator determines the angle in degrees, not the GZ max value itself which is measured in meters.

Angle of Heel at GZ Max Formula

Angle = tan⁻¹(m / (254 × L_wl × B_wl × B_cb))

Result is the angle of heel (in degrees) at which maximum righting arm occurs

Stability Assessment

Calculate the angle of heel at which maximum righting arm occurs based on vessel mass, waterline length, beam, and centre of buoyancy position.

Professional Formula

Uses industry-standard empirical formulas to determine the angle at which GZ max occurs based on hull geometry and displacement.

Compliance Verification

Verify vessel stability parameters meet regulatory requirements and classification society standards.

Project Documentation

Track project information and maintain professional records of stability calculations for certification.

Important Notice

This calculator provides the angle of heel at which GZ max occurs for preliminary stability assessment. Complete stability analysis including full GZ curves and inclining experiments must be performed by qualified naval architects and verified by Notified Bodies or marine surveyors for certification purposes.

Understanding the Angle of Heel at GZ Max

The angle of heel at GZ max represents the heel angle at which a vessel generates its maximum transverse righting moment. GZ max itself is the maximum righting arm value (measured in meters), while this calculator determines the angle (in degrees) at which that maximum occurs. This angle is a critical indicator of vessel stability and safety.

Key Parameters:
  • Mass (m): Total displacement or mass of the vessel
  • Length Waterline (Lwl): Length of the vessel at the waterline
  • Beam Waterline (Bwl): Maximum beam of the vessel at the waterline
  • Beam Centre of Buoyancy (Bcb): Transverse distance from centerline to centre of buoyancy
Applications:
  • Preliminary stability assessment during design phase
  • Verification of stability angle criteria for regulatory compliance
  • Comparison of different hull designs and configurations
  • Input for comprehensive stability booklets and GZ curves
  • Notified Body approval documentation

Who Should Use This Calculator?

Naval Architects

Perform preliminary stability calculations during vessel design. Verify the angle at which GZ max occurs meets regulatory requirements.

Yacht Builders

Calculate stability parameters for new builds. Ensure vessels meet Notified Body standards.

Marine Surveyors

Verify stability calculations during surveys and inspections. Generate documentation for certification.

Marine Engineers

Assess stability impacts of modifications or loading conditions. Support stability booklet preparation.

Need Professional Stability Analysis?

While this calculator provides the angle at which GZ max occurs, complete stability analysis requires professional naval architecture services.

Blue Peter Marine provides comprehensive stability services including:

Contact Us for Professional Analysis