BENDING MOMENTS IN A MODEL OF THE CARGO SHIP

Transcription

SSC-201
I
BENDING MOMENTS IN A
MODEL OF THE CARGO SHIP “WOLVERINE
STATE” RUNNING AT OBLIQUE HEADINGS IN REGULAR WAVES
MIDSHIP WAVE
This
for
document
public
has
been
approved
release
and
sale;
distribution
its
is unlimited.
SHIP STRUCTURE COMMITTEE
SEPTEMBER 1969
MEMBER
AGENCIES:
UNITED STATES cOAST GUARD
NAVAL SHIP SYSTEMS cOMMAND
MILITARY SEA TRANSPORTATION
MARITIME ADMINISTRATION
AMERICAN BUREAU OF SHIPPING
ADDRESS
CORRESPONDENCE
TO:
SECRETARY
U.S. COAST GUARD HEADQUARTERS
WASHINGTON, D.C, 20591
SERVICE
September 1969
Dear Sir:
Ship model studies were undertaken by the Ship Structure
Committee to determine if models of actual ships traveling through
similar, but towing-tank sea states experienced strains and bending
The results
moments corresponding to those of ships in real seas.
of the towing-tank data on one of the ships, the Wo2ver+ine State,
are presented herein.
Another study has tentatively reported that
these data are comparable to those obtained for the actual ship.
to individuals
and
This report is being distributed
groups associated with, or interested in, the work of the Ship
Structure Committee. Comments concerning this report are solicited.
Sincerely,
%
R&ar”Admiral, U. S. Coast Guard
Chairman, Ship Structure Committee
SSC-201
Technical Report
to the
Ship Structure Committee
on
Project SR-165 “Bending Moment Determination”
MIDSIIIP WAVE BENDING MOMENTS IN A MODEL OF THE CARGO SHIP
“WOLVERINE STATE” RUNNING AT OBLIQUE HEADINGS IN REGULAR WAVES
by
M. J. Chiocco and E. !!umata
Stevens Institute of Technology
Hoboken, New Jersey
under
Department of the Navy
NAl]~EC contract g~zgg
U. S. Coast Guard Headquarters
Mashjngton, D. C.
September 1969
ABSTRACT
Vertical and lateral wave bending moments were measured at the midship section of a l/96-scale model of the C4-S-B5
cargo ship WOLVERINE STATE. The model was self-propelled through
a ship speed-range of 8 to 17 knots at seven headings to regular
waves of lengths between 0.3 and 1.8 times the length between
perpendiculars;
moderate wave heights not exceeding 1/50 of the
model length were used.
Results are presented in charts ofmoment-amplitude/wave-ampl itude versus ship speed,with wave length
as the parameter. Two ship conditions, light load and full load,
are covered.
ii
CONTENTS
PAGE
INTRODUCTION . . . .
. .
. .
.
1
.
DESCRIPTION OF THE EXPERIMENT.
. .
DISCUSSION . . . .
. .
.
.10
.
REFERENCES . . . .
APPENDIX . , . . . .
7
7
CONCLUDING REMARKS
ACKNOWLEDGEMENTS
2
.
.
.
.
. .
.11.
.12
SHIP STF?UCTLIRECOVPITTEE
The SHIP STR!JCTUl?ECOMMITTEE is constituted to prosecute a research program to improve the hull structures of ships by an extension of knowledae pertaining to design, materials and methods of fabrication.
RADM C. P. Murphy, USCG - Chairman
Chief, Office of Plercha.ntParlne Safety
U. S. Coast Guard Headquarters
Captain W. R. Riblett, USN
Head, Ship Engineering Division
Naval Ship Engineering Center
Mr. E. S. Dillon
Chief, Division of Ship Design
Office of Ship Construction
P]aritime Administration
Captain T. J. Banvard, USN
Maintenance and Repair Officer
Military Sea Transportation Service
Mr. D. B. Bannerman, Jr.
Vice President - Technical
American Bureau of Shipping
SHIP STRUCTURE SUBCOMMITTEE
The SHIP STRUCTURE SUBCOMMITTEE acts for the Ship Structure Committee
on technical matters by providing technical coordination for the determination
of goals and objectives of the program, and by evaluating and interpreting the
results in terms of ship structural design, construction and operation.
NAVAL SHIP ENGINEERING CENTER
U. S. COAST GUARD
Mr.
Mr.
Mr.
Mr.
Mr.
CDR C. R. Thompson, USCG
CDR J. L. Howard, USCG LCDR L. C. Melberg, USCG
LCDR R. L. Brown, USCG -
J. J. Nachtsheim - Chairman
J. B. O’Brien - Contract Administrator
G. Sorkin - Member
H. S. Sayre - Alternate
I.Fioriti - Alternate
- Member
Member
- Alternate
Alternate
MARITIME ADMINISTRATION
NAVAL SHIP RESEARCH & DEVELOPMENT CENTER
Mr.
Mr.
Mr.
Mr.
Mr. A. B. Stavovy - Alternate
F.
A.
R.
W.
Dashnaw - Member
Maillar - Member
Falls - Alternate
G. Frederick - Alternate
NATIONAL ACADEMY OF SCIENCES
Mr. A. R. Lytle, Liaison
Mr. R. W. Rumke, Liaison
Mr. M. L. Sellers. Liaison
AMERICAN BUREAU OF SHIPPING
Mr. G. F. Casey - Member
Mr. F. J. Crum - Member
AMERICAN IRON AND STEEL INSTITUTE
Mr. J. R. LeCron, Liaison
OFFICE OF NAVAL RESEARCH
Mr. J. M. Crowley - Member
Dr. W. G. Rauch - Alternate
BRITISH NAVY STAFF
Mr. H. E. Hogben, Liaison
CDR D. Faulkner, RCNC, Liaison
MILITARY SEA TRANSPORTATION SERVICE
WELDING RESEARCH COUNCIL
Mr. R. R. Askren - Member
Lt.J.G. T. E. Koster, USN - Member
Mr. K. H. Koopman, Liaison
Mr. C. Larson, Liaison
iv
LIST OF FIGURES
Text Figures
PAGE
. . . . . . . . . . . . . . . . . .
3
. . . . . . . . . . . .
3
3.
Weight Distribution Diagram, Light Load . . . . . . . . . . . . . .
5
4.
Weight Distribution Diagram, Full Load. . . . . . . . . . . . . . .
5
5.
Vertical Wave Bending Moments (Drafts: 17.1’ Fwd, 21.5’ Aft;
1.
Body Plan of “Wolverine State”.
2.
Vertical and Lateral Bending Moment Balance
16 Knots).
. . . . . . . . . . . . . . . . . . . . . . . . . . . .
8
Lateral Wave Bending Moments (Drafts: 17.1’ Fwd, 21.5’ Aft;
16 Knots) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8
7.
Vertical Wave Bending Moments (Draft: 30’ Even Keel; 16 Knots). . .
8
8.
Lateral Wave Bending Moments (Draft: 30’ Even Keel; 16 Knots) . . .
8
9.
Vertical Wave Bending Moments (Drafts: 17.1’ Fwd, 21.5’ Aft;
16 Knots).
. . . . . . . . . . . . . . . . . . . . . . . . . . . .
g
16 Knots).
. . . . . . . . . . . . . . . . . . . . . . . . . . . .
9
11.
Vertical Wave Bending Moments (Draft: 30’ Level Trim; 16 Knots) . .
9
12.
Lateral Wave Bending Moments (Draft: 30’ Even Keel; 16 Knots) . . .
9
13.
Wave Bending Moments (Drafts: 17.1’ Fwd, 21.5’ Aft; 16 Knots) . . . 10
14.
Wave Bending Moments (Draft: 30.0’ Level Trim; 16 Knots) . . . . . . 10
6.
10.
Appendix Figures
A-1. Vertical Wave Bending Moments (Drafts: 17.1’ Fwd, 21.5’ Aft;
180° Heading). . .1.
. . . . . . . . . . . . . . . . . . . . . . 13
150° Heading).
. . . . . . . . . . . . . . . . . . . . . . . . . . 13
120° Heading). . . . . . . . . . . . . . . . . . . . . . . . . . . 13
90° Heading) . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
60° Headi~g) . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
v
_.
30° Heading).
. . . . . . . . . . . . . . . . . . . . . . . . . . .14
00 Heading) . . . . . . . . . . . . . . . . . . . . . . . . . . . .14
A-8. Lateral Wave Bending Moments (Drafts: 17.1’ Fwd, 21.5’ Aft;
180° Heading) . . . . . . . . . . . . . . . . . . . . . . . . . . .14
150° Heading) . . . . . . . . . . . . . . . . . . . . . . . . . ..15
120° Heading) . . . . . . . . . . . . . . . . . . . . . . . . . . .15
A-n.
90° Heading). . . . . . . . . . . . . . . . . . . . . . . . . . . .15
60° Heading). . . . . . . . . . . . . . . . . . . . . . . . . . . .15
30° Heading). . . . . . . . . . . . . . . . . . . . . . . . . . . .16
00 Heading) . . . . . . . . . . . . . . . . . . . . . . . . . . . .16
A-15. Moment Phase Angle (Drafts: 17.1’ Fwd, 21.5’ Aft; 180°
Heading). . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16
A-16. Moment Phase Angle (Drafts: 17.1’ Fwd, 21.5’ Aft; 60° Heading). . . 16
A-17. Moment Phase Angle (Drafts: 17.1’ Fwd, 21.5’ Aft; 30° Heading). . . 17
A-18. Moment Phase Angle (Drafts: ~7.1’ Fwd, 21.5’ Aft; 0° Heading) . . . 17
A-19. Vertical Wave Bending Moments (Draft: 30’ Even Keel; 180”
Heading). . . . . . . . . . . . . . . . . . . . . . . . . . , . . .17
A-20. Vertical Wave Bending Moments (Draft: 30’ Even Keel; 150°
Heading). . . . . . . . . . . . . . . . . . . . . . . . . . . . . .17
Heading). . . . . . . . . . . . . . . . . . . . . . . . . . . . . .18
Heading). . . . . . . . . . . . . . . . . . . . . . . . . . . , . . 18
A-23. Vertical Wave Bending Moments (Draft: 30’ Even Keel; 60”
Heading). . . . . . . . . . . . . . . . . . . . . . . . . . . . . .18
vi
Heading). . . . . . . . . . . . . . . . . . . . . . . . . . . . .
18
Heading).
. . . . . . . . . . . . . . . . . . . . . . . . . . . .
19
A-26. Lateral Wave Bending Moments (Draft: 30’ Even Kee’ ; 180°
Heading).
. . . . . . . . . . . . . . . . . . .
. . . . . . . .
19
A-27. Lateral Wave Bending Moments (Draft: 30’ Even Kee’ ; 150°
Heading).
. . . . . . . . . . . . . . . . . . .
. . . . . . . .
19
A-28. Lateral Wave Bending Moments (Draft: 30’ Even Keen ; 120°
Heading).
. . . . . . . . . . . . . . . . . . . . . . . . .
.
19
A-29. Lateral Wave Bending Moments (Draft: 30’ Even Keel; 90°
Heading). . . . . . . . . . . . . . . . . . . . . . . . . . . . .
20
Heading). . . . . . . . . . . . . . . . . . . . . . . . . . . . .
20
A-31. Lateral Wave Bending Moments (Draft; 30’ Even Keel; 30°
Heading). . . . . . . . . . . . . . . . . . . . . . . . . . . . .
20
Heading).
. . . . . . . . . . . . . . . . . . . . . . . . . . . .
20
vii
.
.
MODEL OF “WOLVERINE STATE” RUNNING IN OBLIQUE WAVES
INTRODUCTION
1960 the
In
a
research
to
investigate
The
trends
Ship
program
hull
initial
of
phase
a
MARINER-class
(2)
a
destroyer
a value
is
of
of
bending
steepness.
for
this
maximum
phase
the
to
the
be
in
ship
as
with
a tanker.
no
limits,
expected
as
and
project
a
Davidson
sR-157’,
function
of
wave
‘
ratio
upper
of
covered
wave
limit
in
and
of
height
initiate
tests
investigations
steepness
concluded
to
ship-model
waves.
freeboard
Dalzell
dramatic
using
irregular
variatio~szin
the
Laboratory
Determination,”
regular
program,
(3)
of
models
of
weight
distribution,
that,
within
practical
wave
bending
moments
to
wave
length
at
increases
to
1:9.
conclusion
moments
Maniar
in
was
under
study,
moments
MARINER,
this
authorized
Moment
moments
moment
cargo
and
design
about
Since
that
,
and
amidships
of
bending
(1)
Committee
“Bending
bending
midship
operational
Structure
entitled
Project
a
limited
certain
SR-165,
3’4
concluded
wave
midship
examined
MARINER-class
maximun
to
circumstances
cargo-ship
that,
bending
within
moments
bending
could
the
longitudinal
model
in
practical
would
moments,
occur
it
was
the
distribution
regular
waves
operational
occur
and
elsewhere,
in
the
of
of
extreme,
limits
region
known
next
from
of
speed
amidsh-ips
-2to 0.125L aft of amidships.
moments
both
in
Another
high
design
part
irregular
studies
of
the
waves
elevation.
Wave
and
regular-wave
reasonable
agreement
and
in
obtain
bending
history
moment
wi”th
the
records
energy-spectra
bending-moment
results
bending
to
be
testing
of
the
MARINER
bending
moment
wave
computed
operators’
obtained
midship
appears
of
were
‘lresponse
response
on
measurements
involved
time
concentrating
full-scale
investigation
to
equivalent
Thus the practice of
and
justified.
model
and
used
to
derive
which
were
shown
to
model
tests
in regular
from
in
wave
be
in
waves.
Such
using
of
a
favorable
agreement
II
“response
bending-moment
ship
in
a
this
latter
between
seaway
step,
model
Over
ship
period
have
Northern
on
Europe
of
moment
effort,
This
have
used
analysis
of
the
Webb
in
known
be
demonstrate
Teledyne
data
wave-spectrum
Atlantic
or
a
Before
satisfactory
correlation
STATE
in
taking
data
bending-moment
operating
Davidson
Company
on the
Laboratory
regular
waves,
Naval
Architecture,
of
Davidson
midship
Research
Ocean.
statistical
for
the
to
ship
Laboratory’s
and
model-ship
DESCRIPTION
correlation
OF THE
program
bendingparallel
the
model-test
(under
United
Statesproposed
the
obtain
in a
prediction
of
results.
tests
of the WOLVERINE
STATE model
at
and presents
the
wave-bending-moment
their
of
spectrum
determined.
on
Materials
WOLVERINE
from
SR-165,
a
can
statistical
the
North
Project
by
to
of this
vessel
Webb
Institute
describes
under
been
the
which
procedure
the
energy
responses.
vessel
cargo
statistics
report
in
model
of
necessary
the
tests
an
ship
a
by
in
in the
alternate
waves
to predict
full-scale
operators.
proposed
is
years,
route
bending-moment
Laboratory,
it
confidence
in regular
spectrum
collected
scale-model
response
either
energy
bending-moment
of
been
SR-153),
conduct
of
the
however,
and
a
Project
ship
response
real
responses
inspires
from
tests
operator
under
Davidson
results
which
Project
SR-171.
EXPERIMENT
Mode 1
A
U.
S.
body
l/96-scale
wooden
Maritime
model
The
plan.
model
Commission
of
the
Drawing
was
cut
WOLVERINE
C4-S-B1,
amidships,
STATE
S5-0-1,
at
a
was
Lines
point
constructed
Figure
according
1 is the
Plan.
corresponding
to
a
to
location
6 inches forward of the ship’s Frame-104 or 248 feet aft OF the ship’s fore
An
perpendicular.
bladed
propeller
built
to
scale
matically
and
The
two
integral
aluminum
planes
was
of
operated
steering
halves
of
the
flexure
beam
The
model
symmetry
are
a
servomotor
were
cruciform
cross-section
deflections
mechanically
Two
representative
represented
loading
a
typ
cal
of
amplified
Figure
transformers.
Loadinq
first
installed
to
scale
diameter.
which
formed
connected
by
This
balance
balance.
of
was
desired
by
componental
differential
motor
the
turn
a
The
part
rudder
of an
stock,
four-
was
auto-
system.
bending-moment
alloy.
variable
propulsion
approximately
controlled
two-component
an
electric
of
conditions
low-density,
2
by
is
the
standard
consists
of
milled
the
beam
linkages
a sketch
in
from
its
Davidson
Laboratory
two pedestals
with
a single
vertical
and sensed
by
of the
balance.
block
of
and
lateral
linear
Conditions
were
dry-cargo
used
for
loading
ballasting
resulting
the
in
model.
a
The
displacement
-3-
30’
I
5
1
Fig. 1.
Fig. 2.
Body Plan of WOLVEPINE STATE
Vertical and Lateral Bending Moment Ealance
LWL
-4”
of lZ,105 tons at a mean draft of 19’3” with a trim of 4’5” by the stern.
3
Figure
is the weight-distribution diagram based on an average of eastbound and westbound
voyage data supplied by the States Marine Lines.
The
second
placement
from
of
the
and
32’10”
4
load
the
include
Each
the
weight,
the
LCG.
To
resulting
simulate
desired
suspending
each
the
The
based
value
of
ed
with
ist
s
are
to
center
assumed
the
sea
be
rolling
taped
the
fore
each
pitch
edge,
period
each
was
of
the
to
both
Deep
adapted
booklet
and
model-half
were
of
was
was
ballasted
was
ship,
about
to
the
checked
by
a compound
pendulum,
fe-edge-to-CG
for
to
a
to
obtain
The
the
the
the
model-halves.
adjusted
of
full
inertia.
substituted
the
model.
halves
of
weight
laterally
complete
cargo.
and
inertia
the
oscillating
it
as
and distance-from-kni
half
halves
weight
Gyradius
gyradius.
adjusted
load
aft
the
from
weights
Ballasting
homogeneous
light
dis-
model.
common
midships
Ship
value
the
scaled
cut
was
character-
below.
TABLE
Length
Between
Beam,ft
OF SHIP
CHARACTERISTICS
Perpendiculars,
ft
.
.
496.0
71.5
.
. . . . . . . . . . . . . . .
Light
Displacement,
a
was
Tank.
and
ballasting
of
period
3
giving
of
Both
No.
cargo
loading
Lines
density
derived
Tare
Ballast
Marine
(LCG),
was
and
With
gravity
sheet-rubber”
tabulated
half
separate
loading.
natural
thin
for
calculated.
permit
of
in
of
This
assumed
gravity
a knife
period.
could
load
diagram.
obtain,
LCG,
full
30’0”.
States
condition,
natural
balance
the
the
the
of
each
weight,
from
vertical
on
for
model-half
its
bending-moment
to
loading
of
gyradius
a
of
ballast
center
given
values
measuring
known,
integrated
gyradius
a
scaled
in
decreasing
permanent
longitudinal
pitch
represent
draft
shcwn
by
of
was
the
to
even-keel
weight-distribution
tons
diagram
meant
an
C4-S-B5,
1,970
The
at
condition
Type
is
was
tons
draft
Stabili’cY,
Figure
and
condition
19,875
long
tons
Load
Full
Load
12,105
19,375
17.1
21.5
30.0
30.0
Draft
Fore
perpendicular,
Aft
perpendicular,
LCG forward
pitch
of
radius
Natural
amidships,
ft
0.74
3.20
gyration,
ft
125.0
116.5
12.0
16.5
of
rolling
period,
Forebody
Displacement,
LCG forward
ft
ft
long
of
sec
6,o7o
tons
amidships,
Pitch
gyradius,
ft
VCG above
baseline,
ft
ft
107.0
62.5
22.5
10,325
96.6
61.3
25.5
Afterbody
Displacement,
LCG aft
of
long
Pitch
gyradius,
ft
VCG above
baseline,
6,035
tons
amidships,
ft
106.0
67.0
ft
22.5
9,550
97.8
67.2
25.5
-5-
+
60
tO.5/Ft
[
I
I
I
t 50
1
I
I
I
i- 40
I
i
I
I
I
200
150
Ft.
Fig. 3.
aft
I 00
of
50
I
50
amidship
I bo
Ft.
forward
~
of
amidship
Weight Distribution Diagram, Light Load
+ 20
I
I
4
10
I
I
200
150
Ft.
Fig. 4.
Aft
100
of
50
50
Amidship
Weight Distribution Diagram, Full Load
100
Ft.
Forward
150
of
Amidship
200
-6Apparatus
The experiment
was conducted
in Davidson
Laboratory’s
Tank
2 (75’ x 75’ x 4.5’).
This facility includes a wavemaker along one 75-foot side of the tank, a wave
absorber along the opposite side, and a movable bridge spanning the tank. The
bridge
supports
a
Suspended
is
A
the
carriage
to
follow
a
heave
through
a
rod
motors,
led
to
upward
The
the
a
were
The
heights
traversing
probe
at
were
the
the
preferred
known
by
the
the
regular
of
The
The
bridge
periods
used
measuring
of
At
each
at
a
was
120
heading
minimum
apparatus
wires
and
control
from
the
signals
Sanborn
over
The
to
the
a
at
distance
while
for
in
was
station
Time
histories
average
between
the
The
in
two
moment
ft-tons/ft)
heading
Figures
A-1
condition;
to
a
oscil
before
of
for
the
a
data
Figs.
was
are
trends
were
A-lg
are
wave
lograph.
datum.
In
active
test,
each
at
history
each
adjusted
run,
bridge
‘co
procedure
model
wave-probe
by
wave
time
length
This
during
model
was
calibrations.
heading
wave
the
range
was
because
it
is
readings.
angles
30
lengths
of
180 degrees
degrees,
were
tested
and
and
(head
zero
the
lengths
(20
seas),
degrees.
model
8-17 knots, full scale.
of
calibrated
and
during
was
run
A nominal wave
relatively
short
the
model
was
feet).
periodically
also
of
by
applying
known
moments
solely
Presentation
bending
20-foot
moments
interval
of
were
model
reduced
to obtain
The phase
travel.
determined.
in
ship
dimensional
speed
charts
the
and
lateral
the
presented
through
due
condi-
low-pass
wave-elevation
each
60 degrees,
Reduction
separate
A-14
tankside.
Procedure
model
was
versus
angle;
at
resistance-type
speed-control
influence
model
vertical
moment
moments
through
moments
still-water
of
as
a given
bending
of
range
and
are
afloat.
Data
the
rudder
recorder.
wi’ch
records
wave
six
four
balance
it
the
balance
stylus
the
travel
elevation
can
least
of
bending-moment
model
which
waves.
the
model
balance,
waves
except
the
height of 1/50 of the model length was used for all
ones, for which a reduced height was substituted. The mean speed of
averaged
in
to
for
KROHN-HITE
calibrated
wavemaker
during
wave
heated
records,
and
were
90 degrees,
speeds
the
carriage
the
positioned
degrees,
three
recording
wave-height
waves
angle,
of
bending-moment
resulting
test,
model-generated
degrees,
a
in
waves
average
model
a
Test
150
control
the
preamplifiers
section
the
the
to
noise
location.
wave
to
that
all
obtain
During
maintain
history)
“reading”
to
and
from
bending-moment
between
model
reduced
heading.
time
of
the
motions
steered
model
and
is attached
350 carrier amplifier system and the ou~pu~ was produced
high-frequency
inserted
motor.
Power
cables
thence
lateral
servo-controlled
automatically
the
apparatus
on
signal
and
a
six-degree-of-freedom
bearings
as
Series
a
a
gimbal.
well
and
Sanborn
minimize
filters
in
carriage
on chart paper (as
to
is
by
self-propelled,
rides
as
vertical
by
order
driven
three-degree-of-freedom
propulsion
tioned
carriage
from
servo-driven
vertical
monorail
are
Appendix
A-32
to
for
form
all
presented
contain
present
wave-induced
the
(moment-amplitude/wave-amp]
wave-length/ship-length
the
for
full-load
loads
vertical
results
for
results.
and
are
itude
ratios
and
the
The
measured
lateral
moments.
light-load
reported
with
at
respect
-7Phase
is presented
wave-length/ship-length
given
heading-angle
by
zero
(150
cieg,
phase
concave
ship
speed;
to
phase
of
the
port
lag
of
beam
of
(90
were
The
Appendix;
are
of
each
and
of
a
are
chart
given
in
Appendix
313 deg).
curve
of
form.
presented
bow
vertical
variation
heading
are
the
deg,
hogging
a
a
seas
port
hull-deflection
in
of
for
a
following
the
(6o
behind
presented
speed,
and
quarter
to
moment
with
approach
was
results
A-2
degrees
there
combination
phase
A-1
port
moment
cases,
speed
charted
Tables
180
vertical
consistent
waves
corresponding
certain
for
the
lateral
independent
given
by
the
or
deg),
versus
seas
angles,
moment
In
trends
is
head
starboard
lateral
which
value
lateral
moment
behind
The phase
results
are
heading
starboard.
ratio.
the
lag
ratio.
representing
the
hence
ship-length
A-18
of
starboard
results,
single
to
is
a
is
the
intermediate
deg),
angle
remaining
a
At
120
with
moment,
which
with
convention
degrees.
Each
as
in
phase
The
tabular
form;
angle
and
wave-length
Figs.
A-15
through
contain
the
remaining
results,
DISCUSSION
The
data
object
from
predict
for
a
and
are
the
St.
are
ship
prominent
with
components
the
of
component
for
help
other
Figures
shift
to
from
O to
in
would
length
k
should
be
9
through
heading
moment
at
in
cross-plots
of
peak
does
moment
marked
Data
not
an
trends
p of
is
are
similar
primary
equal
head
to
heading
in
their
in
the
response-curves
in
by
but
the
Appendix
inertial
of
head
seas.
hydrodynamic
that
shows
Fukuda,6
moment.
in
for
and
He
occur.
peaks
investigators
only
each
using
vertical-moment
to
the
show
seas
the
trends
5),
an
response
the
18o
peak
to
wave
for
a
crests
other
length
,
are
not
of
k
shown.
/
too
in
few
In
angle
for
plots
0.9
headings
to
with
a
permit
ral
aqreeme~t
with
ons
aid
of
show
that
an
peak
either
analytical
w
k
where
L
/
L cos
Vw
peaks
present
When
point
a
is
of
the
angles
tends
region
of
at
to
be
50
degrees.
or 60 dear=S4
by
Fukuda6
for
fullness.
this
experimental
REMARKS
model
nvestigation
is
ratio.
moment
calculations
,
14
ratio.
the
wave
moment
and
additional
130 de~r=
trough
the
degrees,
the
13
definition
in
a wave
90
wave-length
vertical
secondary
anqles
0.9,
its
however,
k=
wave-length
of
parentheses,
versus
at
Figures
.
this
ratio
general,
seas,
These
VW=
zero
or
moment
headings,
w
to
degrees
maximum
and
L ccs
moments
becomes
L cos
a wave-length
and,
bending
IJW
tend
90
vertical
Therefore,
in
ship
peaks
from
length.
are
geometry
cos
heading
at
of
ship
wave
of
headinq
ve
changes
(Fig.
effective
Since
at
vertical-moment
angle
angle.
region
hiahest
object
the
peaks
lateral-and
CONCLUDING
The
documented
of
heading
wave-ship
at
gen
the
the
similar
occur.
head
in
results
charts
Murdey5),
double
a
asterisk
proport
found
equal
versus
obtained
moment
been
vertical
perpendiculars
occur
maximum
values
in 180-degree
Lateral
Thl se
were
phase
the
response
Institute
Sample
from
the
total
ship
heading
the
moments
with
Webb
purpose.
by
why
the
that
as
tested.
this
occur
the
predictions
180-degree
12
angles
values
generally
which
highest
is
Figures
and
the
about
Pw
curves
recently
has
nearly
obtain
and
moment
7 have
Fig.
to
show
In
length
the
peak
8
when
To
amidships.
by
constructed
explains
lengths
length
occur
wave-bending-moment
usable
angles.
degrees.
a wave
in
(most
analytical
heading
wave
obtain
form
for
been
technique,
through
moment
shown
of
one
5
occurs
peaks
moment,
shorter
90
The
have
England
vertical
prediction
curves
ship
in
contributes
analytical
a
s-8.
double
Tank
to
practicable
knots
Figs.
them
project.
and
16
to
was
reduce
ion
of
in
Albans
Plurdey,
sh
investigation
and
convenient
speed
shovm
The
for
this
tests
ion-and-correlat
Append,ix
is
of
model
was
to
obtain
a
1-
:----l_ ,-
.0.
J
.,.,, .L,:_,
~.,:
.-,.1-””””1‘1
..,,, --,
XT’
..1
LL..I-L
I
l..,
1%1.!..
I ~ 1.-!...1 I ~ I \
I
I --1””: I
‘J
b
,!
+---il----~-~=----i----J---l--l-.-:l
/,...;l
~
.!
Fig,
9.
Vertical
iiave
Bending
Moments
..1.
I
Fig. 10. Lateral Wave Bending Moments
Aft
Speed 16 Knots
Drafts: 17.1’ Fwd, 21.5’
I
d?
mlkwti:tid:!ki~sl=ti
Drafts:
17.1’
Fwd,
21.5’
Aft Speed 16
Knots
i-i-’~~~.::
r,,,
”I+H-’I++*-’-”I
f,l ‘VA!, I’ i““1’
!,l, ! !“! -L. I-444L14-L
i
--/ I
‘.-l..4L.-L–d
‘i++d+;”;l’!-lw-;
Fig.
Draft:
11,
Vertical
30’
Wave
Level
Bending
Moments
Speed 16 Knots
Trim
.
l--l--w
—
.
—
Fig. 12. Lateral Wave Bending Moments
Draft: 30’ Even Keel Speed 16 Knots
-1o-
Ld --J F) ~----l----l-7\ -----1
1
,.--—l--k di,gy%v
le..
-)
Iiw ,
-,—----–-
.’
J
;
1. -.
1
._!_L’
.-l
i
~
.I
~
-.,1 .ti
,.4’
‘d
~.
‘
Fig. 14. Wave Bending Moments
Trim
Speed
Draft: 30.0’ Level
16 Knots
Fig. 13. Wave Bending Moments
Drafts: 17.1’ Fwd, 21.5’ Aft speed
16 Knots
wave-bending-moment
correlation
trends
data
with
of
the
and
full-scale
results
to
them
r-educe
appear
to
a
This
measurements.
reasonable
when
form
has
usable
been
compared
Webb Institute
by
accomplished
with
and
published
data
for
the
of
general
similar
nature.
Analysis
moments
tend
to
(a)
At
a
(b)
In
head
lateral
trends
wave-bending-moment
occur
constant
’seas
for
this
vessel
shows
that
peak
-value
for
of
wave
vertical
length/ship
moment
and
in
length,
either
and
bow or
quartering
seas
for
moment.
In
no
of
view
further
of
the
self-sufficient
model-testing
be
nature
of
for
the
conducted
these
results,
WOLVERINE
it
is
recommended
that
STATE,
ACKNOWLEDGEMENTS
The
this
for
furnishing
WOLVERINE
of
authors
wish
investigation:
the
STATE;
full-load
to
Mr.
an
extensive
and
Mr.
thank
two
persons
JohnW.
Ritter,
of
amount
Edward
Roderick,
who
made
significant
contributions
Jr.,
Naval
Architect,
States
Marine
information
on the
loading
statistics
for
conducting
the
model
investigation
condition.
—
—
to
Lines,
of
the
-11-
REFERENCES
1.
DA L%ELL,
Extreme
Ship
2.
J.
DALZE!-L,
J.
a
4.
N.
M4NIAR,
N.
Model
Laboratory
6.
in
of
of
Midship
of
Moments
Type
Ship
Ex~erienced
and
Three
in
Variants.
1964.
January
Bendinq
a Tanker
February
Extreme
MARINER
SSC-155,
Models
Investigation
Model
M.
and
in
Regular
NUMATA,
Report
MURDEY,
D.
Trans.,
Royal
and
a
Moments
Experienced
Ship
Destroyer.
in
Structure
1964.
Bendinq
Waves.
Moments
Ship
C.,
“On
Moment
Enqineerinq,
national
Ship
the
Within
the
Structure
of
Kyushu
Structures
Moment
Waves
Institute
Double
“Computer
Regular
Irregular
Stevens
Institution
in
llBending
E.,
and
1094,
FUKLIDA, JUN-ICIII,
Bending
of
by
Bendinq
Midship
the
Half
Midship
Committee,
Lenqth
Serial
SSC-163,
1964.
Ship
5.
of
Serial
SSC-156,
M.,
of
Models
Investigation
Waves
Serial
MARINER
June
An
F.,
Reqular
IW4NIAR,
by
Committee,
Committee,
of
lnvestiqation
Waves
Structure
Extreme
3.
An
F.,
Reqular
Peaks
Naval
Program
Oblique
University,
Congress,
in
Distribution
of
Extreme
of
Technology,
Wave
Bending
Architects,
Vol.
a Mariner Car90
March
Moment
Davidson
1968.
Response
Curves,”
1968.
Results
Waves.”
in
Steepness,”
for
Response
Reprint
XXVI,
No.
from
2
Operators
Memoirs
(contribution
of
of
Wave
the
to
Faculty
3d
1967, Oslo), Fukuoka, Japan, 1966.
inter-
-12APPENDIX
TARLE A-1.. MOMENT PI!ASEANGLES
Drafts:
17.1’
Fwd,
21.5’
Aft
Headings
Wave
Lenqth
Ship
Length
A
f
90°
\
120°
150°
135
290
150
175
150
155
145
150
0.30
0.50
24o
0.62
0.75
24o
0.87
115
1.00
225
150
135
1.25
180
140
145
1.50
150
130
1.75
105
40
Phase
angle
;s
lag
of
lateral
moment
behind
vertical
moment.
See Figs. A-15 through A-18 of the Appendix for phase angles at
180°, 60°, 30°, and OO.
TABLE A-2,
Draft:
MOMENT PHASE ANGLES
30’ Even Keel
Headings
Lenqth
Ship Length
Wave
A
f
30°
60°
90°
>
120°
150°
0.30
130
16o
-125
145
175
0.50
185
150
- 15
155
145
0.73
155
150
55
100
135
0.89
145
-
1.07
145
130
110
115
120
1.24
140
125
140
110
130
1.50
115
105
160
105
130
1.78
125
65
170
105
110
115
Phase angl~.is lag of lateral moment behind vertical moment.
-13-
L“
‘!
1 -’ ../.
.:.
1. .
.
.,
.!
,.l.;. ;”’-1”i
I“il]l
Fig. A-1. Vertical Wave Bending Moments
Drafts: 17.1’ Fwd, 21.5’ Aft 180° Head.
ing
Drafts: 17.1’ Fwd, 21.5’ Aft 150° Heading
Drafts: 17.1’ Fwd, 21.5’ Aft 120° Head-
ing
.
—
14-”
..-!WM
,----
m
1,,
.
.
: /. ., ...,.
!{
} .:+}+. I ++-*
‘:
““”’:-”
n
❑
’).,
.;
,s0
‘“”
,.
“ y-+ryJ+
Drafts: 17.1’ Fwd, ?1.5’ Aft 30° Headinq
.
Fig. A-8. Lateral Wave Bending Moments
Drafts: 17.1’ Fwd, 21.5’ Aft 180” t%ading
.—
—
‘
-15-
.,= .,.,
:.,
,.,
+++-++++..
Drafts: 17.1’ Fwd, 21.5’ Aft 150” Heading
Fig, A-n.
Lateral Wave Bending Moments
.
{
Fig, A-12. Lateral Wave Bending Moments
Drafts: 17.1’ Fwd, 21.5’ Aft 60” Heading
-16-
I
,...
. ..
WM
Im!M
;..)
.,, ;,i:.
m
,,’,
W
-..
,-!
Fig. A-15. Moment Phase Angle Drafts:
17.1’ Fwd, 21.5’ Aft 180° Heading
17.1’ Fwd, 21.5’ Aft 60° Heading
-17-
Vertical
tbnumt Aml.
Fig: A-18. Moment Phase Angle Drafts:
Wave Liqth- ‘
%=1p .Lmlgtt --
wave #apl .
0000
A
AA
A
a
8000
~
1.P7
m
w
Q
0
o
A
6000
A
.43
1.5D
A
A
,,
. .
!,
W3
kooo
,“
1.78
,.
,,
c1
,.
“!
1
,“
I
h
A
2000
.50
..
I 0:
“,
.... .
-
12
---------
14
Sped
.—.-..—...,..
—
L...+
-T. ,...
:
_.
,.
16
1
1
,.,..,.-—
18
knot.
I
III!
Fig. A-19. Vertical Wave Bending
Moments Draft: 30’ Even Keel 180°
Heading
.
.l.–+_.l
,.
,!
&
~*T.
~
—
Moments Draft: 30’ Even Keel 150”
Heading
[
..
-18-
[6000
,,.,..s,,,
: ..........
..!.-.
-1..,..,..,
. !..
. . . . ..... .
-.
!..-
. . .
. .
---:.~=--.a--a-J---i.
---!
-1-1,
\
I
.
m’
L. ...
l.. ,...., .
1
I
l_=_l_
:L ......—!...
--.’ ‘. ‘...
!....
‘...,
..!..=.._. ..;
I
I
-~
——,
..
,,.
1,0
. ~..
II
.
....1 .:
!
-!--j:#l
I
16
.’
.1
10
-_
.IL
Draft: 30’ Even Keel 90° Heading
Heading
,..
n
:
W,”= Len@h
Ship Length
“1
r::””
“
E:
’l=.:-.,.
, ,“. q.pl.
,
..!.
dp.f:,wct
,,
0.50
!’
. .. . .
;
..J.
d!
;...
0.30 ~
,,
-:]
-. .-..,
-,,
Q’
1...{
I
w..
.
.
.
. .
0.73
m!
.
.. . .
-.
j...
~..;
. .. ..Q.
mm
,Q
-~!
... . -}
.$,
..
—,
e“
“1
1
;..4
Imoo
;
““”
1-
,,,1
-.
A
a
.1
ril
.. 1.,,
0
,..
., -..
. . ...’..!_.
L...
_.. L
&
‘
8
...”’’’”O’s..
Heading
. 1.78
“1
‘,
1+
8
L..Ll_-L:[
u
1.50
A
A
!.
I.zk
m
u
TI
~
A.
.;
a
..2QOQ
1.07
A
h
,.1,
Heading
—
—.—
—
-19-
VA Ica1
,,
.~
.,.
.! .-: .—1.
1,
!4.”. hpl .
L
6000 ft-twdft
-. ,
.“;:.”;.”
].::1
,~w!$
1, ‘=~t,_
*
.,.
—--
,.
l%:*W. t m
--,
ihip
E&th
khgth
-,,. —
. ..
..
I
..
~“!
1+, ““:-:Ibii”:
i.l;
.
I
~.,
..l}
k
.1
o
1.5U
‘1;,
.!-.
-1
!..’-
~
11’
!
.,
. ..
n
“*’-~,‘,
A
A
A.
!lA—
I
~:,ow’.. ”
6W0
..1
Q
1
.1000.
,..
!.
I
0,
6000
“~\,
m
.,
:!
&
1. ?lu
.
.,
-
r.1
1.07!
.L
@Q~---;—.--;-.
. ..
i .*;
o.
.40W
,
,’
&
.893
,,
.!
WI.-- ..-.L.
;0
2W0
A
i.,
I
“1,1~
., ...-.
:
b
,,
.
1
I
:“ ““!
o
.732
,.
‘,,
~
,..! .. .
.+.
.50
Q
1,0
12
14
16
In knot,
Spd
Draft: 30’ Even Keel 180” Heading
Yoments Draft: 30’ Even Keel 0°
Heading
,,,
I
,
.:
titE*:**:.,+!.i:T-.-.;
..-:.... . ... ;.. i.
.4RL! .Ltd
,j,
-}
mm.
.!
.
,+
--1 ,...A_,
-i
‘“h
_, ,,
..!,.
i.
... .._..I..
,1!
..,..-,...r.l
.:]i.~
_4QuL.-L..-~.[--’.
‘ ...:
Wave Lemth
Sh[p Length
,,,
a:”;”
..
”-’
1..”..:,.
....
’73;
.1A,.,
““
:
.’..~.. -.;
J93
~
... . ..-..
[..”.
—.
1.78”””;
1>
!.
!l~:l
Fig. A-27. Lateral Wave Bending
Heading
0
1,
2
-->
I
16
8
‘-J-_...\J...
_-...
I.._.;
,k”y.
.,]
-20-
++2+!1““;
“E!;;.:i””
;,.:,::...’::..
‘““ ‘“’”
“ep,
~p,
+&<-w;,
-,--,%--.:
----,:~””-”:;:~
-----
+
..A
+=
..4...,.,..
,1?_
._;.
I....=
I ,,
1—. -–– .-. ..,— .;.
.&
I
./
-–.
i- “’”i”’++
-“”1-””1
““;””
l“””’i ~ “:
-’1:~~-v”j”-””
/-: --
;
.
II
.
I —.-.”- 1.. ~.
,
:..
I
:
1.07
.. .
~
,
. I, .
l.-
*
;.,
.
1.“ii
- ‘:-l ‘“ 1.
I
I
——+- +
,0,
i
‘r”
“’
-“*;..,
+,
:-
‘n. :.
* ~—L
-
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~.:.
.1..
I
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)
~*.:-+
c1
I
-—.. . .
I.*
.,
..
,!
.. i.,
——..
,-..-
/’
1:-.11...: !1, :..! : -*”
JJ-J--
J*.
0.7
k
.
F2-L=” ‘A
.4k~
.:
!—”,“”
!,,
-fi-.
-!
. ..i... ,.
,
.,,
,
.,,,/
0.50
....4. ... _ ;
1,
I
..—...—
— ,. .._j_]
I
,,
A
““ r“-; ““”” j;::!
.,
.m
1.50
.-.
,,
;““/””””””?”””””
~“”””j”
‘$~
J—_—.!...,________________
w
I*
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_
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S41s
I+%--L-.
Fig. A-31. Lateral Wave Bending
Heading
.!..
~----L -~
.-,----
i
J#uqbh
L_t~ I
4...-..I.–..L-L-!.ULLL
UNCLASSIFIED
Security
Classification
CONTROL
DOCUMENT
(Security
cIasaification
1.ORIGINATING
title,
body
of
G ACTIVITY
of ab$trsct
and
indexing
DATA- R&D
annotation
bt
must
author)
(Corporato
etiterccl
when
the
12.4, REPORT
overall
report
SECURITY
is .Iassificd)
C LAS SIFICATION
. .
Unclasslflwl
Davidson Laboratory
2b
GROUP
3. REPORT
TITLE
MIDSHIP WAVE BENDING MOMENTS IN A MODEL OF THE CARGO SHIP
RUNNING AT OBLIQUE HEADINGS IN REGULAR WAVES
4.
DESCRIPTIVE
(Type
NOTES
of rqort
arid inclusive
“WOLVERINE
STATE”
dstes)
Technical Report
5. AUTHOR(S)
(Last
name,
first
name,
initial)
Michael J. Chiocco
Edward
Numata
G. REPORT 13ATE
7a. ~OTAL MO. OF
September 1969
ea.
CONTRACT
OR
GRANT
NO.
OF
REFS
6
9e. ORIGIMATOR,S REPORT MUMSER(S)
NO.
Nobs
92299
I
b.PR0JFC7Mo.SF013-03-04, Task 2022
I
7b.
PAGES
20
c,
SSC-201
9b.
OTHER
fhis
REPORT
report)
(Anyothernumbers
NO(S)
Ltiatme
ybeassiil.?od
d.
10.
1
AVAILABILITY/LIMITATION
NOTICES
I
I
Distribution
11.
of
SUPPLEMENTARY
this
document
is
unlimited.
NOTES
1
12. SPONSORING
MILITARY
Naval Ship
ACTIVITY
Systems
Command
I
13. ABSTRACT
Veritcal and lateral wave bending moments were measured at the midship
section of a l/96-scale model of the C4-S-B5 cargo ship WOLVERINE STATE. The
model
headings
between
was
self-propelled
to
regular
perpendiculars;
through
waves
of
a
ship
lengths
moderate
wave
speed-range
between
heights
0.3
not
of
and
8
1.8
to
17
times
exceeding
knots
the
1/50
at
seven
length
of
the
model
were used. Results are presented in charts of moment-amplitude/wavewith
wave
length
as the
parameter.
amplitude versus ship speed,
Two ship
conditions, light load and full load, are covered.
length
I
DD 15:%1473
J
UNCLASSIFIED
Security
—
Classification
UNCLASSIFIED
Security
Classification
I)OCUMENT
@acu,i@ cl~s=,fi=-t,~m Ot rIflc,
1. ORIGINATING
ACTIVITY
body
(Corporate
of abstmct
CONTROL
and indexing
DATA-
imnotadon
must
R&D
be entered
author)
z-.
Davidson Laboratory
when
the overall
RF PORT
report
SECURITY
is .I.sr!fled)
c LAs51FIc
Ar10N
~assifi~d
Zb
GROUP
REPORT
3.
TITLE
MIDSHIP WAVE BENDING MOMENTS IN A MODEL OF THE CARGO SHIP
RUNNING AT OBLIQUE HEADINGS IN REGULAR WAVES
4. DESCRIPTIVE
NOTES
(Type
of
report
enn’ificItisive
“WOLVERINE
STATE”
dates)
Technical
Report
5 AUTHOR(5) (La=rnnrno, {irsr name, initial)
J. Chiocco
Michael
Edward Numata
S.REPORT DATE
r
78.
ToTAL
September 1969
No.
OF
PAGES
7b.
REPORT
NUMBER(S)
NO.
SF013-03-04, Task 2022
OF
REFS
6
20
9L9, ORIGINATORS
‘“”contractor’RANTNO”Nobs 92299
b-paoJ=T
NO.
SSC-201
c.
9b.
OTHER
REPORT
dli.$ report)
No(S)
that may be assignad
(Anyothernumbers
d.
10. AVAIL
ABILll”Y/L
IMITATION
NOTICES
Distribution of this document is unlimited.
11
SUPPLEMENTARY
NOTES
12. SPONSORING
I
Naval
MILITARY
Ship
ACTIVITY
Systems
Command
13. ABSTRACT
Veritcal and lateral wave bending moments were measured at the midship
section of a l/96-scale model of the C4-S-B5 cargo ship WOLVERIh!E STATE. The
model was self-propelled through a ship speed-range of 8 to 17 knots at seven
headings to regular waves of lengths between 0.3 and 1.8 times the length
between perpendiculars; moderate wave heights not exceeding 1/50 of the model
length were used. Results are presented in charts of moment-amplitude/waveamplitude versus ship speed, with wave length as the parameter. Two ship
conditions, light load and full load, are covered.
DD ,5::%1473
UNCLASSIFIED
Security
Classification
—
SHIP RESEARCH COMMITTEE
Maritime Transportation Research Board
Division of Engineering
National Academy of Sciences-National Research Council
This project has bwn conducted under the guidance of Adviso~
Ship Reseazwh Committee. The Cormnititee
has cognizance of Ship
Group 1,
Stxwetwe Committee p~o~aets in materials, design and fabtieation as ~eLating to improved ship struetu~es. This responsibility entails recommending reseamh objectives, pmpa~ing project p~ospeetuses, evaluating
proposals, providing liaison and technical qwidanee. revieuing px=o~eet
>epo~ts, and-stirnulakh.gproductive avenues of research.
MR.
M.
L.
SELLERS,
MR. J. E. HERZ (1,11)
Chairman
Chief Structural Design Engineer
Sun Shipbuilding and Dry Dock Company
Naval Architect
Newport News Shipbuilding
and Dry Dock Company
MR. G. E. KAMPscHAEFER, JR. (III)
DR. H. N. ABRAMSON (1,11)
Manager, Application Engineering
Director, Dept. of Mechanical Sciences
ARMCO Steel Corporation
Southwest Research Institute
MR. W. H. BUCKLEY(1,11)
Chief, Structural Criteria and Loads
Bell Aerosystems Company
PROF. B. R. NOTON (11,111)
Department of Aeronautics
and Astronautics
*
Stanford University
DR. D. p. CLAMIM (III)
Senior Scientist, Edgar C. Bain
Laboratory for Fundamental Research
U. S. Steel Corporation
MR. w. w. OFFNER (III)
Consulting Engineer
MR. D. P. COURTSAL (11,111)
Assistant Chief Engineer
Dravo Corporation
Coordinator
DR. S. T. ROLFE (III),
Division Chief, Applied Research
Center
U. S. Steel Corporation
MR. A. E. COX (1>11)
General Program Manager
Newport News Shipbuilding
and Dry Dock Company
PROF. J. WEERTMAN (11,111)
Walter P. Murphy Professor
of Materials Science
Northwestern University
MR. J.
CDRR. M. WHITE, USCG (1,11)
F. DALZELL(I),
Coordinator
Senior Research Scientist
Hydronautics, Incorporated
Chief, Applied Engineering Section
U. S. Coast Guard Academy
cmD.
FAULKNER,RcNc (1,11)
Staff Constructor Officer
British Navy Staff
Coordinator
PROF. R. A. YAGLE (II),
Department of Naval Architecture
and Marine Engineering
University of Michigan
PROF. J. E. GOLDBERG (1,11)
School of Civil Engineering
Purdue University
(I) = AdvLso~y
(II) =Advisory
(III) =Adviso~
-—.. . --
MR. R. W. RUMKE, Executive Secretary
Ship Research Committee
GPOUP
&OUP
GPOUP
Ship St~ain Measu~ement & Analysis
I,
II, Ship Struetu?al Design
III, Metalhwgieal Stidies
SHIP STRUCTURE COMMITTEE PUBLICATIONS
These documents are distributed by the Clearinghouse, Springfield,
Vu.
22151. These documents have been announced in the Technical
Abst~act Bulletin (TAB) of the Defense Documentation Center (DDC),
Came~on Station, Alexandria, Va.
22314, unde~ the indicated AD
numhe?s.
SSC-187, Piennial Repo?t of Ship Structure Committee.
AD 675022.
September 1968.
Fraetu~e Behavio~
SSC-188, Effect of Repeated Loads on the Low Temperate
of Notched and Welded Plates by M. l-!.Munse, J. P. Cannon and
J. F. Kiefner. October 1968. AD 676722.
Y5C-189, The Video Tape Reeo~ding of Ultrasonic Test Information by Robert
A. Youshaw, Charles H. Dyer and Edward L. Criscuolo.
1968. AD 677894.
October
SSC-190, Bending Moment Distribution in a Ma~ine~ Ca~go Ship Model in
ReguZa? and Irregular Waves of Ext~eme Steepness by Naresh M.
Maniar and Edward Numata.
November 1968.
AD 689187-
and Cracks in Fe-3Si Steel
SSC-191, Plastic Flov in the Local on l!lotehes
Under Conditions Approaching Plane Strain by G. T. Hahn and A. R.
November 1968. AD 680123.
Rosenfield.
SSC-192, Notch Brittleness after Fraeture by C. Mylonas and S. Kobayashi.
January 1969. AD 681051.
.
SSC-193, Development of Mathematical Models for Describing Ship Stm..wtu~al
Re~ponse in Waves by Paul Kaplan. January 1969. AD 682591.
SSC-194, Feasibility Study of Model Test on Ship Hull Girder by Herbert
Becker. May 1969. AD 687220.
Welding PPoeeduPe foP Tempo~aq Repairs of
SSC-195, Recommended .lhne?geney
Ship Stee2s by A. L. Lowenberg and P. D. k!atson. May 1%59.
AD 688119.
SSC-196, Analysis and Interp~etation ofFull-Scale Data on Midship Bending
Stxwsses of Dry Ca~go Ships by Dan Hoffman and Edward V. Lewis.
June 1969.
$SC-197, An Investigation of t~~ utility of ComputeP S’irmlationto p?edict
Ship Struetu~al Response in Waves by P. Kaplin, T. P. Sarqent
and A. I. Raff.
June 1969.
SSC-198, Fhune St~aightening and Its Effect on Base Metal P?ope?ties by
H. E. Pattee, R. M. Evans and R. E. Monroe.
August 1969.
SSC-199, Study of the Facto~s Which Affeet the Adequacy of Eigh-St~ength
Lov-A_lloySteel Weldments for Cargo Ship Hulls by A. L. I_owenberg,
A. G. Picket and R. D. Wylie. August 1969.
E. 13. Norris,
—
..

BENDING MOMENTS IN A MODEL OF THE CARGO SHIP

Transcription

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