Ship stability

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Ship Stability for Masters and Mates

Ship Stability for Masters and Mates
Fifth edition

Captain D. R. Derrett Revised by Dr C. B. Barrass

OXFORD AUCKLAND BOSTON JOHANNESBURG MELBOURNE NEW DELHI

Butterworth-Heinemann Linacre House, Jordan Hill, Oxford OX2 8DP 225 Wildwood Avenue, Woburn, MA 01801-2041 A division of Reed Educational and Professional Publishing Ltd A member of theReed Elsevier plc group First published by Stanford Maritime Ltd 1964 Third edition (metric) 1972 Reprinted 1973, 1975, 1977, 1979, 1982 Fourth edition 1984 Reprinted 1985 First published by Reed Educational and Professional Publishing Ltd 1990 Reprinted 1990 (twice), 1991, 1993, 1997, 1998, 1999 Fifth edition 1999 Reprinted 2000 (twice), 2001 # D. R. Derrett 1984, 1990, 1999 and Reed Educationaland Professional Publishing Ltd 1999 All rights reserved. No part of this publication may be reproduced in any material form (including photocopying or storing in any medium by electronic means and whether or not transiently or incidentally to some other use of this publication) without the written permission of the copyright holder except in accordance with the provisions of the Copyright, Designsand Patents Act 1988 or under the terms of a licence issued by the Copyright Licensing Agency Ltd, 90 Tottenham Court Road, London, England W1P 0LP. Applications for the copyright holder's written permission to reproduce any part of this publication should be addressed to the publishers British Library Cataloguing in Publication Data A catalogue record for this book is available from the BritishLibrary Library of Congress Cataloguing in Publicaion Data A catalogue record for this book is available from the Library of Congress ISBN 0 7506 4101 0 Typesetting and artwork creation by David Gregson Associates, Beccles, Suffolk Printed and bound in Great Britain by Biddles, Guildford, Surrey

Contents
Preface vii Introduction ix Ship types and general characteristics 1 2 3 4 5 6 7 8 9 10 1112 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 xi Forces and moments 1 Centroids and the centre of gravity 9 Density and speci®c gravity 19 Laws of ¯otation 22 Effect of density on draft and displacement 33 Transverse statical stability 43 Effect of free surface of liquids on stability 50 TPC and displacement curves 55 Form coef®cients 61 Simpson's Rules for areas and centroids 68 Final KG 94Calculating KB, BM and metacentric diagrams 99 List 114 Moments of statical stability 124 Trim 133 Stability and hydrostatic curves 162 Increase in draft due to list 179 Water pressure 184 Combined list and trim 188 Calculating the effect of free surface of liquids (FSE) Bilging and permeability 204 Dynamical stability 218 Effect of beam and freeboard on stability 224 Angle of loll 227 True meandraft 233 The inclining experiment 238 Effect of trim on tank soundings 243

192

vi Contents

28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44

Drydocking and grounding 246 Second moments of areas 256 Liquid pressure and thrust. Centres of pressure 266 Ship squat 278 Heel due to turning 287 Unresisted rolling in still water 290 List due to bilging side compartments 296 The DeadweightScale 302 Interaction 305 Effect of change of density on draft and trim 315 List with zero metacentric height 319 The Trim and Stability book 322 Bending of beams 325 Bending of ships 340 Strength curves for ships 346 Bending and shear stresses 356 Simpli®ed stability information 372 I II III IV V

Appendix Appendix Appendix Appendix Appendix

Standard abbreviations and symbols 378 Summary ofstability formulae 380 Conversion tables 387 Extracts from the M.S. (Load Lines) Rules, 1968 388 Department of Transport Syllabuses (Revised April 1995) 395 Appendix VI Specimen examination papers 401 Appendix VII Revision one-liners 429 Appendix VIII How to pass exams in Maritime Studies 432 Appendix IX Draft Surveys 434 Answers to exercises 437 Index 443

Preface
This book was written...
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