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Stability Formulas

The document provides a comprehensive list of stability formulas relevant to maritime engineering, including calculations for load capacity, draft, trim, and buoyancy. It covers various aspects such as the relationship between weight, volume, and density, as well as adjustments for different loading conditions. Additionally, it includes specific formulas for calculating the effects of fuel mass, free surface moments, and trim corrections on vessel stability.
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0% found this document useful (0 votes)
27 views4 pages

Stability Formulas

The document provides a comprehensive list of stability formulas relevant to maritime engineering, including calculations for load capacity, draft, trim, and buoyancy. It covers various aspects such as the relationship between weight, volume, and density, as well as adjustments for different loading conditions. Additionally, it includes specific formulas for calculating the effects of fuel mass, free surface moments, and trim corrections on vessel stability.
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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All Stability Formulas

1-Rectangles in the prism;


Alan = boy x en = L x b
Away / Field
New Draft = Displacement + W / L x b
V = Displacement / &
Load amount (m) = (Displacement x New &) - (Displacement x Old &)

2-Tan(x) = w x d / Displacement x GM

3-Max Load Capacity = Warehouse Volume / S.F


Height (m) = P.L / S.F
P.L X S.F
Load Pressure = h / s.f

4-GZ= KN - KG
GZ=KN - KG x Sin(x)
GZ=GM x Sin(x)
Torque Moment = Displacement x GM x Sin(x)

GZ=Direction stick
T.Moment GZ = Torque direction moment

5-V=L x b x d / &
Cb = V / L x b x draft

6- w=Mct (t1 - t2) / d

7-Dubai's Draft; x= l x d / L-l


x=Inflation increase
Injured Partition Length
L=Total Division Length
d=Drarf

8- GHM = VHM / S.F


Inclination Angle = GHM x 57.3 / Displacement x GM

9- GM=KM - KG

10- FWA(mm) = Displacement / 4TPC


DDamount = FWA x (Old& - New&) / 25

11-FSM (Free Surface Moment) = L.b.b.b / 12.v X &cisim / &deniz X 1 / n.n


n = number of tanks or number of compartments

v=Displacement / 1.025
I = L.b.b.b / 12 (to find the moment of inertia)
GM shrinkage = FSM / Displacement

12-Fuel Mass (M) = (Density - (temperature difference x expansion coefficient)) x load volume
The mass of the fuel = length x width x height x density

FOR 13-DIFFERENT LOADS;


Total Warehouse Volume = (load1 x SF) + (load2 x SF)

14- GM=KM - KG d=draft


KM=KB + BM
BM=bxb / 12xd
KB = d / 2
KG = h / 2

15-v(volume) = b x d x L
m(weight of the box) = v x Density

16-GG'(new GM, new centroid) = w x d / Displacement

17-FSC (Free Surface Correction) = Liquid Density inside the Tank x FSI (Moment of Inertia) /
Displacement x n x n
n = number of tanks
If I is not given in the question, it is calculated as I = L x b x b x b / 12.

18-F point and Trim Weight (P);


P = MCT x t / f
P = TPC x Discharge Amount
GM reduction = P x KM / Displacement
GM growth = P x KG / Displacement - P

Maximum Pressure Force (P);


P = Trim x L (total length)

19-Trim= w x d / MCT
Trim = Displacement x BG / MCT
Trim=Trimming Moment / MCT
BG=LCG -+ LCB

20-Stem Draft Change = L x t / LBP


The location of point L=F
Corrected Average Draft = LCF/LBP x t

The slope of the liquid inside the tank;


Tan(x) = t / body length (LBP)

23-Mean of Mean of Mean = 6x(average draft) + fore draft + aft draft / 8

24-x = pendulum deviation amount


L = length of the pendulum
TanQ - 1= x / L

When calculating 25-Drafts;


In loading and unloading; if the sum of the moments is positive, the forward draft is totaled, the aft draft.
is removed
In loading and unloading; if the sum of the moments is negative, the forward draft is calculated, and the aft draft.

is being planned

26-Draft Brands;
If the draft numbers are prepared in the metric system; the length of each number and the spacing between the numbers

It is 10cm.
If the draft numbers are prepared in the feet system; each number length and the space between numbers is 6.
it is an inch.

27-1. Trim correction;


t = LCF(m) x Trim(cm) x TPC(t/cm) / LBP
Trim to head (-), to tail (+)
-LCF and TPC, values read with mmm.

2. Trim adjustment;
t=50 x t(mt) x t(mt) x (MCT2 - MCT1) / LBP(mt)
MCT2 = mmm + 50 is the MCT read.
-MCT1=mmm - It is the MCT read with 50.
Displacement ship = (Displacement + -1 trim correction + 2 trim correction + Incline
It is 1,025' of the correction) x port & account after.

28-May Adjustment; all values are in cm.


t=6 x (TPC2 - TPC1) x (sancak dm - iskele dm)
TPC2 is the TPC read in exchange for the mediocre draft of the side Geminin lies on.
TPC1 is the TPC read in response to the average draft on the side opposite where Geminin lies.

29-GZreal=GZread +- GG' x SinQ


GG' = The KG value in the table - Desired KG value

To find the reflections of the inclination angles in the draft: 1/2 x the length of the ship x sin (tilt
angle ) + the ship's draft x cos(listing angle )

Finding gmi from the inclination degrees is wxd/displacement * tan(jat) (inclination degree) = trimming
moment/the weight of the gemini = GM if it wanted the exact opposite, it would give gmi and want to find the degree.

kg-km = gm wxd/mtc = shifting gm/shifting distance = result (tangent) = degree of slope


to see

TO FIND BMI = displacement x the density of the water / moment of inertia x water
density = gives me bm

To calculate how many passengers a small boat can carry with the waterline coefficient.
it gives the displacement, and the resulting displacement /0.283 = how many people
it will give you the outcome
To find the difference caused by the sweet water draft, FWAX DENSİ-DENSİ/25 = How many cm difference
It gives how much it is, and if we convert it to mm, it adds it to how much below the draft it is.
we will hit

Trim = Displacement x BG / MC x 100 should reflect the degree of inclination in the drafts.
to find it, 1/2xb(ship's width)xsin of the heeling angle + old draft x cos of the heeling angle

The other formula to find cb and tp is first to multiply lxbxdxs density, the result is then used in the formula.
hx(hacim alanı)x1.025/100 gives us tpcy... the change in displacement from density is
the density of the water we are swimming in

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