Ship Hydrostatics and Stability

Ship Hydrostatics and Stability

2nd Edition - September 26, 2013

Write a review

  • Authors: Adrian Biran, Ruben Lopez-Pulido
  • eBook ISBN: 9780080982908
  • Paperback ISBN: 9780080982878

Purchase options

Purchase options
DRM-free (EPub, PDF, Mobi)
Sales tax will be calculated at check-out

Institutional Subscription

Free Global Shipping
No minimum order


Ship Hydrostatics and Stability is a complete guide to understanding ship hydrostatics in ship design and ship performance, taking you from first principles through basic and applied theory to contemporary mathematical techniques for hydrostatic modeling and analysis. Real life examples of the practical application of hydrostatics are used to explain the theory and calculations using MATLAB and Excel. The new edition of this established resource takes in recent developments in naval architecture, such as parametric roll, the effects of non-linear motions on stability and the influence of ship lines, along with new international stability regulations. Extensive reference to computational techniques is made throughout and downloadable MATLAB files accompany the book to support your own hydrostatic and stability calculations. The book also includes definitions and indexes in French, German, Italian and Spanish to make the material as accessible as possible for international readers.

Key Features

  • Equips naval architects with the theory and context to understand and manage ship stability from the first stages of design through to construction and use.
  • Covers the prerequisite foundational theory, including ship dimensions and geometry, numerical integration and the calculation of heeling and righting moments.
  • Outlines a clear approach to stability modeling and analysis using computational methods, and covers the international standards and regulations that must be kept in mind throughout design work.
  • Includes definitions and indexes in French, German, Italian and Spanish to make the material as accessible as possible for international readers.


Naval architects involved in the design of ships and offshore structures; Students of naval architecture and marine engineering; Engineers, crew and officers managing stability aboard naval ships.

Table of Contents

  • Dedication


    Adrian Biran

    Rubén López-Pulido

    Preface to the Second Edition

    Preface to the First Reprint


    About this book

    Using this book


    Chapter 1. Definitions, Principal Dimensions


    1.1 Introduction

    1.2 Marine Terminology

    1.3 The Principal Dimensions of a Ship

    1.4 The Definition of the Hull Surface

    1.5 Coefficients of Form

    1.6 Summary

    1.7 Examples

    1.8 Exercises


    Chapter 2. Basic Ship Hydrostatics


    2.1 Introduction

    2.2 Archimedes’ Principle

    2.3 The Conditions of Equilibrium of a Floating Body

    2.4 A Definition of Stability

    2.5 Initial Stability

    2.6 Metacentric Height

    2.7 A Lemma on Moving Volumes or Masses

    2.8 Small Angles of Inclination

    2.9 The Curve of Centres of Buoyancy

    2.10 The Metacentric Evolute

    2.11 Metacentres for Various Axes of Inclination

    2.12 Summary

    2.13 Examples

    2.14 Exercises

    Appendix—Water Densities


    Chapter 3. Numerical Integration in Naval Architecture


    3.1 Introduction

    3.2 The Trapezoidal Rule

    3.3 Simpson’s Rule

    3.4 Calculating Points on the Integral Curve

    3.5 Intermediate Ordinates

    3.6 Reduced Ordinates

    3.7 Other Procedures of Numerical Integration

    3.8 Summary

    3.9 Examples

    3.10 Exercises


    Chapter 4. Hydrostatic Curves


    4.1 Introduction

    4.2 The Calculation of Hydrostatic Data

    4.3 Hydrostatic Curves

    4.4 Bonjean Curves and their Use

    4.5 Some Properties of Hydrostatic Curves

    4.6 Hydrostatic Properties of Affine Hulls

    4.7 Summary

    4.8 Examples

    4.9 Exercises

    Chapter 5. Statical Stability at Large Angles of Heel


    5.1 Introduction

    5.2 The Righting Arm

    5.3 The Curve of Statical Stability

    5.4 The Influence of Trim and Waves

    5.5 Summary

    5.6 Example

    5.7 Exercises


    Chapter 6. Simple Models of Stability


    6.1 Introduction

    6.2 Angles of Statical Equilibrium

    6.3 The Wind Heeling Arm

    6.4 Heeling Arm in Turning

    6.5 Other Heeling Arms

    6.6 Dynamical Stability

    6.7 Stability Conditions—A More Rigorous Derivation

    6.8 Roll Period

    6.9 Loads that Adversely Affect Stability

    6.10 The Stability of Grounded or Docked Ships

    6.11 Negative Metacentric Height

    6.12 Wall-Sided Floating Bodies with Negative Metacentric Height

    6.13 The Limitations of Simple Models

    6.14 Other Modes of Capsizing

    6.15 Summary

    6.16 Examples

    6.17 Exercises


    Chapter 7. Weight and Trim Calculations


    7.1 Introduction

    7.2 Weight Calculations

    7.3 Trim

    7.4 The Inclining Experiment

    7.5 Summary

    7.6 Examples

    7.7 Exercises


    Chapter 8. Intact Stability Regulations I


    8.1 Introduction

    8.2 The IMO Code of Intact Stability

    8.3 The Regulations of the US Navy

    8.4 The Regulations of the UK Navy

    8.5 A Criterion for Sail Vessels

    8.6 A Code of Practice for Small Workboats and Pilot Boats

    8.7 Understanding the Limits of Rules and Regulations

    8.8 Future IMO Developments

    8.9 Summary

    8.10 Examples

    8.11 Exercises


    Chapter 9. Stability in Waves


    9.1 Introduction

    9.2 The Influence of Waves on Ship Stability

    9.3 The Influence of New Ship Forms

    9.4 The Mathieu Effect—Parametric Resonance

    9.5 Pure Loss of Stability

    9.6 The Activities of IMO and of Professional Societies

    9.7 Summary

    9.8 Examples

    9.9 Exercises


    Chapter 10. Intact Stability Regulations II


    10.1 Introduction

    10.2 The Regulations of the German Navy

    10.3 Summary

    10.4 Examples

    10.5 Exercises

    10.6 Annex—Densities of Liquids


    Chapter 11. Flooding and Damage Condition


    11.1 Introduction

    11.2 A Few Definitions

    11.3 Two Methods for Finding the Ship Condition After Flooding

    11.4 Damage Conditions Assessment

    11.5 Details of the Flooding Process

    11.6 Damage Stability Regulations

    11.7 The Calculation of the Curve of Floodable Lengths

    11.8 Summary

    11.9 Examples

    11.10 Exercise


    Chapter 12. Linear Ship Response in Waves


    12.1 Introduction

    12.2 Linear Wave Theory

    12.3 Modelling Real Seas

    12.4 Wave Induced Forces and Motions

    12.5 Uncoupled Motions

    12.6 Coupled Motions

    12.7 Dangerous Situations and Modes of Capsizing

    12.8 A Note on Natural Periods

    12.9 Roll Stabilizers

    12.10 Summary

    12.11 Examples

    12.12 Exercises

    A Appendix—The Relationship Between Curl and Rotation


    Chapter 13. Computer Methods


    13.1 Introduction

    13.2 Geometric Introduction

    13.3 Hull Modelling

    13.4 Modelling with FORAN

    13.5 Recent Developments

    13.6 Calculations Without and With the Computer

    13.7 Onboard Stability Calculators

    13.8 Simulations

    13.9 Summary

    13.10 Examples

    13.11 Exercises



    Neutral Equilibrium—Analytic Proof

    Neutral Equilibrium—A Geometric Proof


    Chapter 24. Bibliography


    Index in English

    Index in French

    Index in German

    Index in Italian

    Index in Spanish

Product details

  • No. of pages: 414
  • Language: English
  • Copyright: © Butterworth-Heinemann 2013
  • Published: September 26, 2013
  • Imprint: Butterworth-Heinemann
  • eBook ISBN: 9780080982908
  • Paperback ISBN: 9780080982878

About the Authors

Adrian Biran

Adrian Biran is Adjunct Associate Professor in the Faculty of Mechanical Engineering at Technion - Israel Institute of Technology. He has a Dipl. Ing. Degree from the Bucharest Polytechnic Institute and MSc and DSc degrees form the Technion. Adrian Biran worked as design engineer and project leader for IPRONAV in Bucharest, and Israel Shipyards and as research engineer in the Technion R&D Foundation in Haifa.

Affiliations and Expertise

Associate Adjunct Professor, Faculty of Mechanical Engineering, Technion – Israel Institute of Technology

Ruben Lopez-Pulido

Rubén López-Pulido is a Member of the Royal Institution of Naval Architects (RINA), UK, and the Spanish Association of Naval Architects (AINE). Former Maritime Attaché of the Embassy of Spain in London and Representative of Spain to the International Maritime Organization (IMO) of UN. He was Naval Architect & Software Engineer at SENER working as developer of Naval Architecture Modules of FORAN System, a CAD/CAM/CAE software for ship design and shipbuilding. He was Hydrodynamicist and Stability of Ships Researcher at the CEHINAV (ETSIN-UPM) Madrid Ship Model Basin. In 2010 he received the Spanish National Best Outstanding Career Award for naval architects under 35 years of age, to recognize outstanding professional service and contributions to the maritime & shipping business, naval architecture and marine engineering community.

Affiliations and Expertise

MSc, MPhil, CEng, MRINA. Former Maritime Attaché of the Embassy of Spain in London and Representative of Spain to the International Maritime Organization. International maritime regulations expert.

Ratings and Reviews

Write a review

There are currently no reviews for "Ship Hydrostatics and Stability"