SHIP DESIGN · NAVAL ARCHITECTURE
Ship Design & Naval Architecture
Ship Design & Naval Architecture provides practical engineering calculators for ship hydrostatics, initial stability, calm-water resistance, propulsive performance, structural mechanics and maneuvering. The calculators bring key preliminary naval-architecture relationships into one browser-based calculation environment for technical checks, education and early-stage engineering analysis.
Use the six modules below to evaluate displacement and hull-form hydrostatics, transverse initial stability, resistance coefficients and effective power, propeller/shaft performance, structural response and maneuvering dynamics. Results should be interpreted with the vessel geometry, loading condition, operating point and applicable engineering assumptions in mind.
ENGINEERING MODULES
Core calculations for hydrostatics, performance and ship response
Six coordinated modules cover the principal calculation areas used in preliminary vessel analysis: hydrostatics, stability, resistance, propulsion, structural mechanics and maneuvering.
Hydrostatics
Evaluate displacement and immersed volume, buoyancy, hull-form coefficients, tonnes per centimetre immersion (TPC), draft change and longitudinal trim response.
Stability
Calculate metacentric properties and initial GM, small-angle righting response, inclining-test GM, heel, free-surface correction and vertical KG changes.
Resistance
Work with Froude and Reynolds numbers, ITTC-1957 friction coefficient, frictional and viscous resistance, total resistance coefficient, total resistance and effective power.
Propulsion
Evaluate propeller slip and advance coefficient, blade-tip speed, thrust power, shaft power and torque, open-water propeller efficiency and overall propulsive efficiency.
Ship Structures
Screen hull-girder bending stress and required section modulus, rectangular section properties, axial/shear stress, beam deflection and Euler column buckling.
Maneuvering
Evaluate turning radius and rate of turn, turning-circle time, centripetal acceleration, drift angle, heading change, first-order Nomoto response and nondimensional turning-circle ratios.
Ship Hydrostatics Calculators
Professional engineering calculators for displacement, immersed volume, buoyancy, block coefficient, waterplane coefficient, tonnes per centimetre immersion, draft change and trim moment.
Displacement from Immersed Volume
Calculate vessel displacement mass from immersed volume and water density.
Engineering note: Uses displacement mass = ρ∇. Seawater density should match the actual hydrostatic condition.
Ship Stability Calculators
Professional engineering calculators for metacentric height, metacentric radius, initial righting arm, righting moment, inclining tests, heel angle, free-surface correction and KG changes.
Metacentric Height (GM)
Calculate initial transverse metacentric height from metacentric height above keel and vertical center of gravity.
Engineering note: Positive GM indicates positive initial stability, zero GM neutral initial stability, and negative GM negative initial stability.
Ship Resistance Calculators
Professional engineering calculators for Froude and Reynolds numbers, ITTC friction coefficient, frictional and viscous resistance, total resistance, effective power and resistance coefficients.
Froude Number
Calculate ship-length Froude number from vessel speed and characteristic length.
Engineering note: Ship-length Froude number is commonly based on waterline or representative hull length. Use a consistent length basis for comparisons.
Ship Propulsion Calculators
Professional engineering calculators for propeller slip, advance coefficient, tip speed, thrust power, shaft power, propeller torque and propulsion efficiency.
Propeller Slip
Calculate apparent propeller slip from pitch, propeller rotational speed and vessel speed.
Engineering note: This is apparent slip based on vessel speed and geometric pitch. Wake, thrust deduction and local inflow are not explicitly included.
Ship Structures Calculators
Professional engineering calculators for hull-girder stress, section properties, structural stress, beam deflection and column buckling analysis.
Hull Girder Bending Stress
Calculate longitudinal bending stress from hull-girder bending moment and section modulus.
Engineering note: This is the elastic hull-girder relation σ = M/Z. The sign follows the entered bending moment.
Ship Maneuvering Calculators
Professional engineering calculators for turning motion, yaw rate, drift angle, heading response, Nomoto steering response and turning-circle analysis.
Turning Radius
Estimate steady kinematic turning radius from vessel speed and rate of turn.
Engineering note: Assumes approximately steady circular motion. The sign of rate of turn does not change radius magnitude.
CALCULATION COVERAGE
What the ship design and naval architecture calculators cover
The modules are organized around the major calculation areas that connect vessel geometry, equilibrium, hydrodynamic performance, propulsion, structural response and maneuvering behavior.
Hydrostatics Calculators
Calculate displacement and immersed volume, buoyancy, block and waterplane coefficients, tonnes per centimetre immersion (TPC), draft change and longitudinal trim response.
Stability Calculators
Evaluate BM, KM and initial GM, small-angle righting arm and moment, inclining-test GM, transverse-weight heel, free-surface correction and vertical KG changes.
Resistance Calculators
Work with Froude and Reynolds numbers, ITTC-1957 friction coefficient, frictional and viscous resistance, total resistance coefficient, measured-resistance coefficient and effective power.
Propulsion Calculators
Calculate propeller slip, advance coefficient, blade-tip speed, thrust power, shaft power and torque, open-water propeller efficiency and overall propulsive efficiency.
Ship Structures Calculators
Perform preliminary hull-girder bending-stress and required section-modulus checks, rectangular and hollow-section property calculations, axial and shear stress screening, beam deflection and Euler column buckling.
Maneuvering Calculators
Evaluate turning radius and rate of turn, turning-circle time, centripetal acceleration, drift angle, heading change, first-order Nomoto response and nondimensional turning-circle ratios.
NAVAL ARCHITECTURE IN PRACTICE
Vessel design connects geometry, equilibrium, hydrodynamics and structure
Ship design is an iterative engineering process. A change in displacement, draft or hull geometry can influence hydrostatics and stability; changes in speed and hull form affect resistance; resistance influences required propulsive power; and structural dimensions must support the resulting loads while remaining compatible with arrangement and weight constraints.
The calculators on this page isolate useful relationships so they can be checked quickly, but the quantities should still be viewed as parts of one connected design system. For preliminary work, use the calculators to establish magnitudes, compare alternatives and identify inputs that require more detailed analysis.
ENGINEERING WORKFLOW
How to interpret ship-design and naval-architecture results
Define the condition
Establish dimensions, displacement, loading condition, water density and operating speed before comparing results.
Check coupled quantities
Cross-check related results such as displacement, GM, resistance, effective power, shaft power and structural demand.
Review assumptions
Identify whether the calculation is an exact relationship, preliminary estimate, simplified model or screening method.
Verify critical decisions
Use class rules, regulatory requirements, validated numerical methods or project-specific analysis for final design decisions.
ENGINEERING CALCULATOR LIBRARY
Continue beyond naval architecture
Explore marine machinery, offshore engineering, underwater systems, hydrodynamics, CFD and engineering fundamentals from the central calculator library.