Inclining Experiment & Lightweight Survey, SWA-002-05-P04-W004 Attachment A - Revision 1 Page 1 of 30
Designation: F 1321 − 90
Standard Guide for Conducting a Stability Test (Lightweight
Survey and Inclining Experiment) to Determine the Light Ship
Displacement and Centers of Gravity of a Vessel1
This standard is issued under the fixed designation F 1321: the number immediately following the designation indicates
the year of original adoption or, in the case or revision, the year of last revision. A number in parenthesis indicates the
year of last reapproval. A superscript _____________ indicates as editorial change since the last revision or reapproval.
INTRODUCTION
This guide provides the marine industry with a basic understanding of various
aspects of a stability test. It contains procedure for conducting a stability test in order
to ensure that valid results are obtained with maximum precision at a minimal cost to
owners, shipyards, and the government. This guide is not intended to instruct a
person in the actual calculation of the light ship displacement and centers of gravity,
but rather to be a guide to the necessary procedures to be followed to gather accurate
data for use in the calculation of the light ship characteristics. A complete
understanding of the correct procedures used to perform a stability test is imperative
in order to ensure that the test is conducted properly and so that results can be
examined for accuracy as the inclining experiment is conducted. It is recommended
that these procedures be used on all vessel and marine craft.
1. Scope
1.1 This guide covers the determination of a
vessel's light ship characteristics. The stability test
can be considered to be two separate tasks; the
lightweight survey and the inclining experiment. The
stability test is required for most vessels upon their
completion and after major conversions. It is normally
conducted inshore in calm weather conditions and
usually requires the vessel be taken out of service to
prepare for and conduct the stability test. The three-
light ship characteristics determined from the stability
test for conventional (symmetrical) ships are
displacement (displ.), longitudinal center of gravity
(LCG), and the vertical center of gravity (KG). The
transverse center of gravity (TCG) may also be
determined for mobile offshore drilling units (MODUs)
and other vessels which are asymmetrical about the
centerline or whose internal arrangement outlining is
such that an inherent list may develop from off-center
weight. Because of their nature, other special
considerations not specifically addressed in this guide
may be necessary for some MODUs.
__________
1This grade is under the jurisdiction of ASTM Commerce F-25 on Ship-
building and is the direct responsibility of Subcommittee F25.04 on Hull
Structure.
Current edition approved Oct. 26, 1990. Published January 1991.
1.2 This standard does not purport to address
the safety problems associated with its use. It is the
responsibility of the user of this standard to establish
appropriate safety and health practices and determine
the applicability of regulatory limitations prior to use.
2. Terminology
2.1 Definitions:
2.1.1 inclining experience—involves moving a
series of known weights, normally in the transverse
direction, and then measuring the resulting change in
the equilibrium heel angle of the vessel. By using this
information and applying basic naval architecture
principles, the vessel's vertical center of gravity (KG) is
determined.
2.1.2 light ship—a vessel in the light ship
condition (Condition 1) is a vessel complete in all
respects, but without consumables, stores, cargo,
crew and effects, and without any liquids on board
except that machinery fluids, such as lubricants and
hydraulics, are at operating levels.
2.1.3 lightweights survey—this task involves taking
an audit of all items which must be added, deducted,
or relocated on the vessel at the time of the stability
test so that the observed condition of the vessel can
be adjusted to the light ship condition. The weight,
longitudinal, transverse and vertical location of each 删除的内容: 30
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is equal to the initial slope of the righting arm (GZ)
curve and is calculated using the relationship, GZ =
GM and sin θ. GM is a measure of vessel stability that
can be calculated during an inclining experiment. As
shown in Fig. 2, moving a weight (W) across the deck
a distance (x) will cause a shift in the overall center of
gravity (G−G') of the vessel equal to (W)(X)/disp. and
parallel to the movement of W. The vessel will heel
over to a new equilibrium heel angle where the center
of buoyancy (B') will once again be directly under the
center of gravity (G'). Because the angle of inclination
during the inclining experiment is small, the shift in G
can be approximated by GM tan θ and then equated to
(W)(x)/disp. Rearranging this equation slightly results
in the following equation:
GM W x= ( )( )
(disp)(tan θ) (1)
Since GM and displ. remain constant throughout the
inclining experiment the ratio (W)(x)/tan θ will be a
Fig. 1 Movement of the Center of Buoyancy
item must be accurately determined and recorded.
Using this information, the static waterline of the ship
at the time of the stability test as determined from
measuring the freeboard or verified draft marks of the
vessel, the vessel's hydrostatic data, and the sea
water density; the light ship displacement and
longitudinal center of gravity can be obtained. The
transverse center of gravity may also be calculated, if
necessary.
3. Significance and Use
3.1 From the light ship characteristics one is
able to calculate the stability characteristics of the
vessel for all conditions of loading, and thereby
determine whether the vessel satisfies the applicable
stability criteria. Accurate results from a stability test
may in some cases determine future survival of the
vessel and its crew, so the accuracy with which the
test is conducted cannot be overemphasized. The
condition of the vessel and the environment during the
test is rarely ideal and consequently, the stability test
is infrequently conducted exactly as planned. If the
vessel isn't 100% complete, the weather isn't perfect,
there ends up being water or shipyard trash in a tank
that was supposed to be clean and dry, etc. then the
person in charge must made immediately decisions as
to the acceptability of variances from the plan. A
complete understanding of the principles behind the
stability test and a knowledge of the factors which
affect the results is necessary.
4. Theory
4.1 The Metacenter—(See Fig. 1). The
transverse metacenter (M) is based on the hull form of
a vessel and is the point around which the vessel's
center of buoyancy (B) swings for small angles of
inclination (0 to 4" unless there are abrupt changes in
the shape of the hull). Since the position of B is a
fixed point above the molded keel (K) for any given
draft and trim. M is also a fixed value above K for any
given draft and trim. The height of M above K, known
as KM, is often plotted versus draft as one of the
vessel's curves of form. If the difference from the
design trim of the vessel is less than 1% of its length,
the KM can be taken directly from either the vessel's
curves of form or hydrostatic tables. Because KM
varies with the trim, the KM must be computed using
the trim of the ship at the time of the stability test when
the difference from the design trim of the vessel is
greater than 1% of its length. Caution should be
exercised when applying the "1% rule of thumb" to
ensure that excessive error, as would result from a
significant change in the waterplane area during
heeling, is not introduced into the stability calculations.
4.2 Metacentric Heights—The vertical distance
between the center of gravity (G) and M is called the
metacentric height (GM). At small angles of heel, GM
Fig. 3 Metacentric Height 删除的内容: 30
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FIG. 4 Relationship between GM, KM, and KG
constant. By carefully planning a series of weight
movements a plot of tangents is made at the
appropriate moments. The ratio is measured as the
slope of the best represented straight line drawn
through the plotted points as shown in Fig. 3, where
three angle indicating devices have been used. This
line does not necessarily pass through the origin or
any other particular point, for no single point is more
significant than any other point. A linear regression
analysis is often used to fit the straight line.
4.3 Calculating the Height of the Center of
Gravity Above the Keel—KM is known for the draft
and trim of the vessel during the stability test. The
metacentric height (GM), as calculated above, is
determined from the inclining experiment. The
difference between the height KM and the distance
GM is the height of the center of gravity above the
keel (KG). See Fig. 4.
4.4 Measuring the Angle of Inclination—(See
Fig. 5.) Each time an inclining weight (W) is shifted a
distance (x), the vessel will settle to some equilibrium
plotting all of the readings for each of the pendulums
during the inclining experiment aids in the discovery of
bad readings. Since (W)(X)/tan θ should be constant,
the plotted line should be straight. Deviations from a
straight line are an indication that there were other
moments acting on the vessel during the inclining.
These other moments must be identified, the cause
corrected, and the weight -movements repeated until a
straight line is achieved. Figure 6 through 9 illustrate
examples of how to detect some of these other
moments during the inclining and a recommended
solution for each case. For simplicity, only the
average of the readings is shown on the inclining
plots.
4.5 Free Surface—During the stability test, the
inclining of the vessel should result solely from the
moving of the inclining weights. It should not be
inhibited or exaggerated by unknown moments or the
shifting of liquids on board. However, some liquids will
be aboard the vessel in slack tanks so a discussion of
"free surface" is appropriate
Tan θ
Fig. 3 A Typical Incline Plot
heel angle, θ. In order to accurately measure this
angle (θ), pendulums are used, the two sides of the
triangle defined by the pendulum are measured. Y is
the length is the distance the wire deflects from the
reference position at the point along the pendulum
length where transverse deflections are measured.
Tangent θ is then calculated:
tan θ = Z/Y (2)
FIG. 5 Measuring the Angle of Inclination
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Tan θ (Z/Y)
FIG. 8 Steady Wind From Port Side Came Up After Initial
Zero Point Taken (Plot Acceptable)
Tan θ (Z/Y)
NOTE—Re-crack at tanks and _________ and pump out as necessary:
Re___________ at weight movement and re-crack ______________________
FIG. 6 Excessive Free Liquids
4.5.1 Standing Water on Deck—Decks should
be free of water. Water trapped on deck may shift and
pocket in a fashion similar to liquids in a tank.
4.5.2 Tankage During the Inclining—If there are
liquids on board the vessel when it is inclined, whether
Tan θ (Z/Y)
NOTE—Re-co weight movements 1 and 5.
FIG. 9 Gusty Wind From Port Side
Tan θ (Z/Y)
NOTE—
FIG. 7 Vessel Touching Bottom or _________ by
Mooring Lines
in the bilges or in the tanks, it will shift to the low side
when the vessel heels. This shift of liquids will
exaggerate the heel of the vessel. Unless the exact
weight and distance of liquid shifted can be precisely
calculated, the GM from formula (1) will be in error.
Free surface should be minimized by emptying the
tanks completely and making sure all bilges are dry, or
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by completely filing the tanks so that no shift of liquid is
possible The latter method is not the optimum because
air pockets are difficult to remove from between
structural members of a tank, and the weight and
center of the liquid in a full tank must be accurately
determined in order to adjust the light ship values
accordingly. When tanks must be left slack, it is
desirable that the sides of the tanks be parallel vertical
planes and the tanks be regular in shape (that is
rectangular, trapezoidal, etc.) when viewed from above,
so that the free surface moment of the liquid can be
accurately determined. The free surface moment of
the liquid in a tank with parallel vertical sides can be
readily calculated by the formula
Free surface (ft-tons) = lb3/12Q (3)
Where:
l = length
b = breadth of tank, ft. and
Q = specific volume of liquid in tank (ft3/ton)
(See Annex A3 for fuel oil conversions or measure
Q directly with a hydrometer.).
Free surface correction is independent of the height of
the tank in the ship, location of the tank, and direction
of the heel.
4.5.3 As the width of the tank increases, the value
of free surface moment increased by the third power.
The distance available for the liquid to shift is the
predominant factor. This is why even the smallest
amount of liquid in the bottom of a wide tank or bilge is
normally unacceptable and should be removed prior to
the inclining experiment. Insignificant amounts of
liquids in V-shaped tanks or voids (for example, a chain
locker in the bow), where the potential shift is
negligible, may remain if removal of the liquid would be
difficult or would cause extensive delays.
5. Preparations for the Stability Test
5.1 General Condition of the Vessel—A vessel
should be complete as possible at the time of the
stability test. Schedule the test to minimize the
disruption in the vessel's delivery date or its operational
commitments. The amount and type of work left to be
complete (weights to be added) affects the accuracy of
the light ship characteristics, so good judgement must
be used. If the weight or center of gravity of and item
to be added cannot be determined with confidence, it is
best to conduct the stability test after the item is added.
Temporary material, tool boxes, staging, trash, sand,
debris, etc. on board should be reduced to absolute
minimum during the stability test.
5.2 Tankage—Include the anticipated liquid
loading for the test in the planning for the test.
Preferably, all tanks should be empty and clean, or
completely full. Keep the number of slack tanks to a
minimum. The viscosity of the fluid and the shape of
the tank should be such that the free surface
effect can be accurately determined.
5.2.1 Slack Tanks:
5.2.1.1 The number of slack tanks should
normally be limited to one pair of port and
starboard tanks or one centerline tank of the
following:
(a) Fresh water reserve feed tanks,
(b) Fuel/diesel oil storage tanks,
(c) Fuel/diesel oil storage tanks
(d) Lube oil tanks
(e) Sanitary tanks, or
(f) Potable water tanks.
5.2.1.2 To void pocketing, slack tanks should
normally be of regular (that is, rectangular,
trapezoidal, etc.) cross section and be 20 to 80% full if
they are deep tanks and 40 to 60% full if they are
double bottom tanks. These levels ensure that the
rate of shifting of liquid remains constant throughout
the heel angles of the stability test. If the trim changes
as the vessel is inclined, then consideration must also
be given to longitudinal pocketing. Slack tanks
containing liquids of sufficient viscosity to prevent free
movement of the liquids, as the vessel is inclined
(such as Bunker C at low temperature), should be
avoided since the free surface can not be calculated
accurately. A free surface correction for such tanks
should not be used unless the tanks are heated to
reduce viscosity. Communication between tanks
should never be allowed. Cross connections,
including those via manifolds, should be closed.
Equal liquid levels in slack tank pairs can be a warning
sign of open cross connections. A bilge, ballast, and
fuel oil piping plan can be referred to, when checking
for cross-connection closures.
5.2.2 Pressed Up Tanks—Pressed up means
completely full with no voids caused by trim or
inadequate venting. Anything less than 100% full, for
example, the 98% condition regarded as full for
operational purposes, is not acceptable. The vessel
should be rolled from side to side to eliminate
entrapped air before taking the final sounding. Special
care should be taken when pressing fuel oil tanks to
prevent accidental pollution. An example of a tank
that would appear "pressed up," but actually contained
entrapped air is shown in Fig. 10.
5.2.3 Empty Tanks—It is generally not sufficient
to simply pump tanks until suction is lost. Enter the
tank after pumping to determine if final stripping with
portable pumps or by hand is necessary. The
exceptions are very narrow tanks or tanks where there
is a sharp deadrise, since free surface would be
negligible. Since all empty tanks must be inspected,
all manholes must be open and the tanks well
ventilated and certified as safe for entry. A safe 删除的内容: 30
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testing device should be on hand to test for sufficient
oxygen and minimum toxic levels.
5.3 Mooring Arrangements—The importance
of good mooring arrangements cannot be
overemphasized. The arrangement selection will be
dependent upon many factors. Among the most
important are depth of water, wind, and current effects.
Whenever possible the vessel should be moored in a
quiet, sheltered area free of extraneous forces such as
propeller wash from passing tugs, or sudden
discharges from shore side pumps. The depth of water
under the hull should be sufficient to ensure that the
hull will be entirely free of the bottom. The tide
conditions and the trim of the vessel during the test
must be considered. Prior to the test, measure the
depth of water and record it as may locations as
necessary to ensure the vessel will not contact the
bottom. If marginal, conduct the test during high tide to
move the vessel to deeper water.
5.3.1 The vessel should be held by lines at the
bow and the stern, attached to temporary pad eyes
installed as close as possible to the centerline of the
vessel and as near the waterline as practical. If
temporary pad eyes are not feasible then lines can be
secured to bollards or cleats, or both, on the deck.
This arrangement requires that the lines be slackened
when the ship is heeled away from the dock. The
preferred arrangement is with t he vessel lying in a slip
where it can be moored, as shown in Fig. 11. In this
case, the lines can be kept taut to hold the vessel in
place, yet allowing unrestricted heeling. Note,
however, that wind or current or both, may cause a
superimposed heeling moment to act on the vessel
throughout the test. For steady conditions this will not
affect the results. Gusty wind or uniformly varying wind
or current, or both, will cause these superimposed
heeling moments to change, which may require
additional test points to obtain a valid test. The need
for additional test points to obtain a valid test. The
need for additional test points can be determined by
plotting te
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