|
Stability
Sums made easier
Drawing
a stability problem makes it easier to understand
When working with a stability sum use the KG's for the vessels
displacement and the weight that's being loaded/discharged or
shifted, forget the weights at the moment
Draw a big "E" as follows and insert 4 dots.
Name the bottom dot "K"
Name the middle dot "G"
Name the top dot "M"
Find if the weight being loaded/discharged is bigger than the
vessels own KG or below it, if its bigger then put g1 above the
vessels own KG, if less than the vessels KG, then put g1 below
the vessels KG

From
the Keel lay off the distance for the vessels displacement (KG)
From the Keel lay off the distance for the weight loaded/discharged
(Kg)
Subtract (KG from Kg1) this gives small "d"
If the weight is a shifted weight subtract where the weight was
and where it is now (Kg1 - Kg2) = "d"
Using
the formula:- Gg1 = w x d = W d (+ if loaded, - if discharged)
(only use W if a shifted weight) (don't use small d for shifted
weight)
If using more than one weight, best to do a Table of moments
Remember these Formulas they are important
KG
= KM - GM
GM = KM - KG
KM = KG + GM
Always
add F.S.E. to KG or Subtract it from GM
Tables
of Moments
Formula
for a moment is Weight x KG
Loaded
weights
item |
weight
(tonnes) |
kg |
Moment
(+) |
Moment
(-) |
| |
|
|
Loaded
weight (+) |
Discharged
weight (-) |
| |
|
|
|
|
| Vessel |
100,000 |
8.4
metres |
840,000.00 |
|
| Grain |
20,000 |
2.9
metres |
(
+ ) 58,000.00 |
|
Fuel |
1,000 |
1.5
metres |
(
+ ) 1,500.00 |
|
| Water |
300 |
1.9
metres |
(
+ ) 570.00 |
|
| Stores |
3.8 |
3.9
metres |
(
+ ) 14.82 |
|
| |
|
|
|
|
| Total |
121303.8 |
|
900,084.82 |
|
| |
|
|
|
|
| |
|
|
|
|
| KG
= |
Total
Moments |
|
|
|
| |
Total
Weight |
|
|
|
| |
|
|
|
|
| |
|
7.420088 |
|
|
| KG
= |
900,084.82 |
=
7.420088 |
|
|
| |
121,303.8 |
|
|
|
| |
|
|
|
|
| if
required to round it up to 3 decimal figures |
(KG
= 7.420) |
|
| |
|
|
|
|
| |
|
|
|
|
| Vessels
final KG is 7.420 metres, the vessel has more draught and
less freeboard |
Discharged
weights
item |
weight
(tonnes) |
kg |
Moment
(+) |
Moment
(-) |
| |
|
|
Loaded
weight (+) |
Discharged
weight (-) |
| |
|
|
|
|
| Vessel |
100,000 |
8.4
metres |
840,000.00 |
|
| Grain |
20,000 |
2.9
metres |
|
(
- ) 58,000.00 |
| Fuel |
1,000 |
1.5
metres |
|
(
- ) 1,500.00 |
| Water |
300 |
1.9
metres |
|
(
- ) 570.00 |
| Stores |
3.8 |
3.9
metres |
|
(
- ) 14.82 |
| |
|
|
|
|
| Totals |
121,303.8 |
|
840,000.00 |
60084.82 |
| |
|
|
(
- ) 60,084.82 |
|
| |
|
|
779,915.18 |
|
| |
|
|
|
|
| KG
= |
Total
Moments |
|
|
|
| |
Total
Weight |
|
|
|
| |
|
|
|
|
| KG
= |
779,915.18 |
= 6.429437330075397 |
|
|
| |
121,303.8 |
|
|
|
| |
|
|
|
|
| |
|
|
|
|
| if
required to round it up to 3 decimal figures |
(KG
= 6.430) |
|
| |
|
|
|
|
| Vessels
final KG is 6.430 metres, the vessel has less draught and
more freeboard |
|