Ship Stability Analysis Calculation Excel Template
The Ship Stability Analysis Calculation Excel Template is a specialized spreadsheet tool designed to perform essential hydrostatic and stability computations for naval architects, marine engineers, and ship officers. It integrates standardized maritime stability criteria—such as GM (metacentric height), GZ curves, righting arms, and compliance with IMO A.167 and A.749 regulations—into an automated, auditable, and user-configurable format. The template typically accepts vessel geometry, weight distribution, and loading condition inputs to output key stability metrics and graphical representations.
📖 Overview
📑 Key Components
🎯 Applications
- ✓ Pre-deployment stability verification for cargo vessels
- ✓ Design-stage parametric studies for hull form optimization
- ✓ Training tool for deck officers and marine cadets in stability coursework
📐 Key Formulas
Metacentric Height (GM)
GM = KM - KG
Vertical distance between metacenter (M) and center of gravity (G); primary indicator of initial static stability
Righting Arm (GZ)
GZ = GM × sin(φ) + (½ × BM × tan²(φ) × sin(φ)) [approximate for small angles]; exact GZ derived from cross-curves or numerical integration
Horizontal distance between lines of action of buoyant and gravitational forces at heel angle φ; used to compute righting moment
Free Surface Moment (FSM)
FSM = Σ(ρ × i × 1/g)
Reduction in effective GM due to liquid movement in partially filled tanks, where ρ is fluid density, i is second moment of tank surface area about its centroidal axis, and g is gravitational acceleration