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ShipDesignforEfficiencyand Economy
Ship DesignforEfficiencyand Economy
Second edition
H. Schneekluth and V. Bertram
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
First published 1987
Second edition 1998
H. Schneekluth and V. Bertram 1998
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,
Designs and Patents Act 1988 or under the terms of a
licence issued by the Copyright Licensing Agency Ltd,
90 Tottenham Court Road, London, England W1P 9HE.
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
Schneekluth, H. (Herbert), 1921–
Ship designforefficiencyand economy.—2nd ed.
1. Naval architecture 2. Shipbuilding
I. Title II. Bertram, V.
623.8
0
1
ISBN 0 7506 4133 9
Library of Congress Cataloging in Publication Data
Shneekluth, H. (Herbert), 1921–
Ship designforefficiencyand economy/H. Schneekluth and
V. Bertram. —2nd ed.
p. cm.
Includes bibliographical references and index.
ISBN 0 7506 4133 9
1. Naval architecture. I. Bertram, V. II. Title.
VM770.S33 98–20741
CIP
ISBN 0 7506 4133 9
Typeset by Laser Words, Madras, India
Printed in Great Britain by
Contents
Preface vii
Chapter 1 MAIN DIMENSIONS AND MAIN RATIOS
1.1 The ship’s length 2
1.2 Ship’s width and stability 5
1.3 Depth, draught and freeboard 13
1.4 Block coefficient and prismatic coefficient 24
1.5 Midship section area coefficient and midship section design
27
1.6 Waterplane area coefficient 31
1.7 The design equation 33
1.8 References 33
Chapter 2 LINES DESIGN
2.1 Statement of the problem 34
2.2 Shape of sectional area curve 35
2.3 Bow and forward section forms 37
2.4 Bulbous bow 42
2.5 Stern forms 52
2.6 Conventional propeller arrangement 60
2.7 Problems of design in broad, shallow-draught ships 61
2.8 Propeller clearances 63
2.9 The conventional method of lines design 66
2.10 Lines design using distortion of existing forms 68
2.11 Computational fluid dynamics for hull design 79
2.12 References 83
Chapter 3 OPTIMIZATION IN DESIGN
3.1 Introduction to methodology of optimization 85
3.2 Scope of application in shipdesign 89
3.3 Economic basics for optimization 91
3.4 Discussion of some important parameters 98
3.5 Special cases of optimization 103
3.6 Developments of the 1980s and 1990s 106
3.7 References 110
Chapter 4 SOME UNCONVENTIONAL PROPULSION
ARRANGEMENTS
4.1 Rudder propeller 112
4.2 Overlapping propellers 112
4.3 Contra-rotating propellers 114
4.4 Controllable-pitch propellers 115
4.5 Kort nozzles 115
4.6 Further devices to improve propulsion 132
4.7 References 147
Chapter 5 COMPUTATION OF WEIGHTS AND CENTRES OF MASS
5.1 Steel weight 151
5.2 Weight of ‘equipment and outfit’ (E&O) 166
5.3 Weight of engine plant 173
5.4 Weight margin 178
5.5 References 178
Chapter 6 SHIP PROPULSION
6.1 Interaction between shipand propeller 180
6.2 Power prognosis using the admiralty formula 184
6.3 Ship resistance under trial conditions 185
6.4 Additional resistance under service conditions 200
6.5 References 204
APPENDIX
A.1 Stability regulations 206
References 213
Nomenclature 214
Index 218
Preface
This book, like its predecessors, is based on Schneekluth’s lectures at the
Aachen University of Technology. The book is intended to support lectures on
ship design, but also to serve as a reference book forship designers throughout
their careers. The book assumes basic knowledge of line drawing and conven-
tional design, hydrostatics and hydrodynamics. The previous edition has been
modernized, reorganizing the material on weight estimation and adding a
chapter on power prognosis. Some outdated material or material of secondary
relevance to shipdesign has been omitted.
The bibliography is still predominantly German for two reasons:
ž German literature is not well-known internationally and we would like to
introduce some of the good work of our compatriots.
ž Due to their limited availability, many German works may provide infor-
mation which is new to the international community.
Many colleagues have supported this work either by supplying data,
references, and programs, or by proofreading and discussing. We are in
this respect grateful to Walter Abicht, Werner Blendermann, J
¨
urgen Isensee,
Frank Josten, Hans-J
¨
org Petershagen, Heinrich S
¨
oding, Mark Wobig (all
TU Hamburg-Harburg), Norbert von der Stein (Schneekluth Hydrodynamik),
Thorsten Grenz (Hapag-Lloyd, Hamburg), Uwe Hollenbach (Ship Design &
Consult, Hamburg), and Gerhard Jensen (HSVA, Hamburg).
Despite all our efforts to avoid mistakes in formulas and statements, readers
may still come across points that they would like to see corrected in the next
edition, sometimes simply because of new developments in technology and
changes to regulations. In such cases, we would appreciate readers contacting
us with their suggestions.
This book is dedicated to Professor Dr Ing. Kurt Wendel in great admiration
of his innumerable contributions to the field of shipdesign in Germany.
H. Schneekluth and V. Bertram
1
Main dimensions and main ratios
The main dimensions decide many of the ship’s characteristics, e.g. stability,
hold capacity, power requirements, and even economic efficiency. Therefore
determining the main dimensions and ratios forms a particularly important
phase in the overall design. The length L, width B, draught T,depthD, free-
board F, and block coefficient C
B
should be determined first.
The dimensions of a ship should be co-ordinated such that the ship satisfies
the design conditions. However, the ship should not be larger than necessary.
The characteristics desired by the shipping company can usually be achieved
with various combinations of dimensions. This choice allows an economic
optimum to be obtained whilst meeting company requirements.
An iterative procedure is needed when determining the main dimensions
and ratios. The following sequence is appropriate for cargo ships:
1. Estimate the weight of the loaded ship. The first approximation to the weight
for cargo ships uses a typical deadweight:displacement ratio for the ship
type and size.
2. Choose the length between perpendiculars using the criteria in Section 1.1.
3. Establish the block coefficient.
4. Determine the width, draught, and depth collectively.
The criteria for selecting the main dimensions are dealt with extensively in
subsequent chapters. At this stage, only the principal factors influencing these
dimensions will be given.
The length is determined as a function of displacement, speed and, if neces-
sary, of number of days at sea per annum and other factors affecting economic
efficiency.
The block coefficient is determined as a function of the Froude number and
those factors influencing the length.
Width, draught and depth should be related such that the following require-
ments are satisfied:
1. Spatial requirements.
2. Stability.
3. Statutory freeboard.
4. Reserve buoyancy, if stipulated.
1
2 ShipDesignforEfficiencyand Economy
The main dimensions are often restricted by the size of locks, canals, slip-
ways and bridges. The most common restriction is water depth, which always
affects inland vessels and large ocean-going ships. Table 1.1 gives maximum
dimensions for ships passing through certain canals.
Table 1.1 Main dimensions for ships in certain canals
Canal L
max
(m) B
max
(m) T
max
(m)
Panama Canal 289.5 32.30 12.04
Kiel Canal 315 40 9.5
St Lawrence Seaway 222 23 7.6
Suez Canal 18.29
1.1 The ship’s length
The desired technical characteristics can be achieved with ships of greatly
differing lengths. Optimization procedures as presented in Chapter 3 may assist
in determining the length (and consequently all other dimensions) according
to some prescribed criterion, e.g. lowest production costs, highest yield, etc.
For the moment, it suffices to say that increasing the length of a conventional
ship (while retaining volume and fullness) increases the hull steel weight and
decreases the required power. A number of other characteristics will also be
changed.
Usually, the length is determined from similar ships or from formulae and
diagrams (derived from a database of similar ships). The resulting length then
provides the basis for finding the other main dimensions. Such a conventional
ship form may be used as a starting point for a formal optimization procedure.
Before determining the length through a detailed specific economic calculation,
the following available methods should be considered:
1. Formulae derived from economic efficiency calculations (Schneekluth’s
formula).
2. Formulae and diagrams based on the statistics of built ships.
3. Control procedures which limit, rather than determine, the length.
1. Schneekluth’s formula
Based on the statistics of optimization results according to economic criteria,
the ‘length involving the lowest production costs’ can be roughly approxi-
mated by:
L
pp
D
0.3
Ð V
0.3
Ð 3.2 Ð
C
B
C 0.5
0.145/F
n
C 0.5
where:
L
pp
D length between perpendiculars [m]
D displacement [t]
V D speed (kn)
F
n
D V/
p
g Ð L = Froude number
The formula is applicable for ships with ½ 1000 t and 0.16 Ä F
n
Ä 0.32.
Main dimensions and main ratios 3
The adopted dependence of the optimum ship’s length on C
B
has often been
neglected in the literature, but is increasingly important for ships with small
C
B
. L
pp
can be increased if one of the following conditions applies:
1. Draught and/or width are limited.
2. No bulbous bow.
3. Large ratio of underdeck volume to displacement.
Statistics from ships built in recent years show a tendency towards lower L
pp
than given by the formula above. Ships which are optimized for yield are
around 10% longer than those optimized for lowest production costs.
2. Formulae and diagrams based on statistics of built ships
1. Ship’s length recommended by Ayre:
L
r
1/3
D 3.33 C1.67
V
p
L
2. Ship’s length recommended by Posdunine, corrected using statistics of the
Wageningen towing tank:
L D C
V
V C 2
2
r
1/3
C D 7.25 for freighters with trial speed of V D 15.5–18.5kn.
In both formulae, L is in m, V in kn and r in m
3
.
3. V
¨
olker’s (1974) statistics
L
r
1/3
D 3.5 C4.5
V
q
gr
1/3
V in m/s. This formula applies to dry cargo ships and containerships. For
reefers, the value L/r
1/3
is lower by 0.5; for coasters and trawlers by 1.5.
The coefficients in these formulae may be adjusted for modern reference ships.
This is customary design practice. However, it is difficult to know from these
formulae, which are based on statistical data, whether the lengths determined
for earlier ships were really optimum or merely appropriate or whether previous
optimum lengths are still optimum as technology andeconomy may have
changed.
Table 1.2 Length L
pp
[m] according to Ayre, Posdunine and Schneekluth
Schneekluth
r [t] V [kn] Ayre Posdunine C
B
D 0.145/F
n
C
B
D 1.06 1.68F
n
1 000 10 55 50 51 53
1 000 13 61 54 55 59
10 000 16 124 123 117 123
10 000 21 136 130 127 136
100 000 17 239 269 236 250
4 ShipDesignforEfficiencyand Economy
In all the formulae, the length between perpendiculars is used unless stated
otherwise. Moreover, all the formulae are applicable primarily to ships without
bulbous bows. A bulbous bow can be considered, to a first approximation, by
taking L as L
pp
C 75% of the length of the bulb beyond the forward perpen-
dicular, Table 1.2.
The factor 7.25 was used for the Posdunine formula. No draught limita-
tions, which invariably occur for ½ 100 000t, were taken into account in
Schneekluth’s formulae.
3. Usual checking methods
The following methods of checking the length are widely used:
1. Checking the length using external factors: the length is often restricted by
the slipway, building docks, locks or harbours.
2. Checking the interference of bow and stern wave systems according to the
Froude number. Unfavourable Froude numbers with mutual reinforcement
between bow and stern wave systems should be avoided. Favourable Froude
numbers feature odd numbers for the ratio of wave-making length L
0
to half-
wave length /2 showing a hollow in the curves of the wave resistance
coefficients, Table 1.3. The wave-making length L
0
is roughly the length of
the waterline, increased slightly by the boundary layer effect.
Table 1.3 Summary of interference ratios
F
n
R
F
/R
T
(%) L
0
:/2 Normal for ship’s type
0.19 70 Hollow 9 Medium-sized tankers
0.23 60 Hump 6
0.25 60 Hollow 5 Dry cargo ship
0.29–0.31 50 Hump 4 Fishing vessel
0.33–0.36 40 Hollow 3 Reefer
0.40 2
0.50 30–35 Hump 1.28 Destroyer
0.563 1
Wave breaking complicates this simplified consideration. At Froude
numbers around 0.25 usually considerable wave breaking starts, making this
Froude number in reality often unfavourable despite theoretically favourable
interference. The regions 0.25 <F
n
<0.27 and 0.37 <F
n
<0.5 should be
avoided, Jensen (1994).
It is difficult to alter an unfavourable Froude number to a favourable one,
but the following methods can be applied to reduce the negative interference
effects:
1. Altering the length
To move from an unfavourable to a favourable range, the ship’s length
would have to be varied by about half a wavelength. Normally a distor-
tion of this kind is neither compatible with the required characteristics
nor economically justifiable. The required engine output decreases when
the ship is lengthened, for constant displacement and speed, Fig. 1.1. The
Froude number merely gives this curve gentle humps and hollows.
2. Altering the hull form
One way of minimizing, though not totally avoiding, unfavourable inter-
ferences is to alter the lines of the hull form design while maintaining
[...]... Recommendations for the choice of CB normally draw on the statistics of built ships and are usually based on the form CB D K1 K2 Fn (Alexander 26 ShipDesignforEfficiencyandEconomy formula); one due to Ayre is 1.68Fn CB D C C D 1.08 for single-screw and C D 1.09 for twin-screw ships Today, often C D 1.06 is used The results of optimization calculations provided the basis for our formulae below These... the formula can be made more precise by setting C D CWP,A /CWP,N 2 where CWP,A is the actual and CWP,N the normal waterplane area coefficient For ships with pronounced V sections, such as trawlers or coasters, C D 1.1–1.2 For a barge with a parallel-epiped form, this formula produces for B/T D 2 an error KM D 1.6%, and for B/T D 10 an error KM D C4.16% 12 ShipDesignforEfficiencyandEconomy The formula... containerships, the size and shape of the midship section are often adapted where possible to facilitate container stowage This may be acceptable for width and depth, but is not a good policy for CM , since this would affect only a few containers on each side of the ship 28 ShipDesignforEfficiencyandEconomy 4 Effects on roll-damping Due to the smaller rolling resistance of the ship s body and the... Ð B Ð T Figure 1.20 Older and more recent midship section forms 30 ShipDesignforEfficiencyandEconomy CM D 1 R2 2.33 Ð B Ð T Flared side-walls in the midships area Cargo ships usually have vertical sides in the midship section area Today, however, some are built with trapezoidal flared sides The ‘trapeze form’ (Fig 1.21) is more suitable than vertical sides in containerships because it improves the... dependent on many factors such as type, size and arrangement of superstructure and sheer The physical 24 ShipDesignforEfficiencyandEconomy Figure 1.14 Table freeboards type B relationships between the data entered into the calculation and their effects on ship safety are not as clear as they appear in the calculation 3 Requiring subdivision and damage stability for larger tankers in the new freeboard... Type B: For Ebridge < 0.2L, linear interpolation between values of lines I and II For Eforecastle < 0.4L, line II applies For Eforecastle < 0.07L, the factor in Table 1.5b is reduced by 0.05 0.07L f / 0.07L , where f is the effective length of the forecastle 22 ShipDesignforEfficiencyandEconomy Table 1.5b Correction Factor for superstructures E/L D 0 0.1 0.2 0 0.07 Type A 0.14 0.3 0.4 0.21 0.31... with trapezoidal midship sections and constant midship section areas reach the maximum Panama Canal width of B D 32.24 m before conventional ships with vertical sides 2 Same midship section dimensions—Thus the ship with a trapezoidal midship section has a smaller midship section area, the same CB and a higher CP The ship with trapezoidal midship section normally has higher resistance and power requirements... both the desired underdeck volume and hold space Section 3.4 includes approximate formulae for the underdeck volume 14 ShipDesignforEfficiencyandEconomy 3 The position of the centre of gravity, KG, dependent on depth, can be verified using approximate methods or similar ships Following this, the chosen value of the metacentric height GM D KM KG can be checked Fordesign purposes, an idealized depth... weight calculation Approximate formulae for KB and BM can be expressed as functions of the main dimensions, since a more precise definition of the ship s form has yet to be made at this early stage The main dimensions CB , L, B, T and D are determined first The midship section area CM , although not fixed in the early design stages, can vary only slightly for normal ship forms and is taken as a function of... the formulae These formulae show that in relation to the resistance, CB and L/B mutually influence each other A ship with relatively large CB can still be considered to be fine for a large L/B ratio (Table 1.6) The Schneekluth formulae (lower two lines of Table 1.6) yield smaller CB than Ayre’s formulae (upper two lines), particularly for high Froude numbers For ships with trapezoidal midship section forms, . Ship Design for Efficiency and Economy
Ship Design for Efficiency and Economy
Second edition
H. Schneekluth and V. Bertram
Butterworth-Heinemann
Linacre. D
1.1–1.2.
For a barge with a parallel-epiped form, this formula produces
for B/T D 2 an error
KM D1.6%, and
for B/T D 10 an error
KM DC4.16%.
12 Ship Design for