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Vessel stowage

Combined Centre of Gravity Calculator (Cargo & Lifting CoG)

Combine the weights and centres of gravity of several components into one CoG (X, Y, Z), with moments and the load split between two lifting points.

Components

X forward/along, Y sideways, Z up from one datum.
t
m
m
m
t
m
m
m
t
m
m
m

Two-point lift (optional)

X positions of lifting points A and B on the same axis.
m
m

Combined CoG

2.92 · 1.16 · 0.892

X · Y · Z (m) · Total weight 25 t

Total weight25 t
Z (CoG)0.892 m
Load at point A12.9 t (51.6%)
Load at point B12.1 t
For education/estimation

Top view (X–Y)

Side view (X–Z)

Moment table

NameWeightm·xm·ym·z
Frame123614.44.8
Motor8129.612
Pump52555.5
Total25732922.3

About this calculator

Project cargo is rarely one uniform object. A pump skid, a plant module, a generator on a frame or an excavator with its boom folded consists of several components with different weights and positions. To plan the lift, the sea-fastening or the position on deck you need one combined centre of gravity (CoG) and the total weight.

The principle is moments: the combined CoG on each axis = Σ(weight × coordinate) ÷ Σ weight. Choose a datum (for example the aft-port-bottom corner of the frame), measure X forward, Y sideways and Z up for each component, and the calculator gives the total weight, combined X, Y, Z and a moment table you can check line by line. Components removed for transport can be taken out simply by deleting their line.

The two-point lift section uses the lever rule: with lifting points A and B on one line, the load at A = W × (x_B − x_CoG) ÷ (x_B − x_A), the rest at B. When the CoG lies outside the two lifting points one load turns negative — the cargo will tip as it is lifted. The result helps choose slings and shackles of unequal length or capacity. For critical cargo the CoG must be confirmed from vendor drawings or weighing; this calculator is for education and estimation.

Worked example

Skid with three components (X, Y, Z from the frame corner):

  • Frame 12 t at (3.0; 1.2; 0.4), motor 8 t at (1.5; 1.2; 1.5), pump 5 t at (5.0; 1.0; 1.1)
  • Total 25 t; X = (36 + 12 + 25) ÷ 25 = 2.92 m; Y = 29 ÷ 25 = 1.16 m; Z = 22.3 ÷ 25 = 0.892 m
  • Lifting point A at X 0.5 m and B at X 5.5 m: A = 25 × (5.5 − 2.92) ÷ 5 = 12.9 t, B = 12.1 t
  • The CoG lies between the points, so the load lifts level with sling A slightly heavier

How to use it

  1. Choose a datum

    Pick one zero point (for example a frame corner) and the same X, Y, Z directions for all components.

  2. Enter components

    Add a line for each component with its weight and centre-of-gravity coordinates.

  3. Read the combined CoG

    See the total weight, combined X/Y/Z, moment table and the top and side sketches.

  4. Check the lifting points

    Enter the X positions of lifting points A and B to see the load at each and whether the CoG lies between them.

Frequently asked questions

Which units should I use?
Weights in tonnes and distances in metres, but the formula works with any units as long as they are consistent. Moments show in t·m. Do not mix different datums between components.
What about components with negative positions?
That is fine. A negative coordinate means the component lies aft of, on the other side of, or below the datum. The moment formula still applies and the combined CoG may be negative.
Why does the CoG matter for sea-fastening?
Roll and pitch forces act at the centre of gravity. A high CoG increases the tipping moment, and an off-centre CoG loads the lashings on one side more. Use the result in the sea-fastening calculator.
What about four lifting points?
Four lifting points are statically indeterminate: the load split depends on sling lengths and cargo stiffness. Many lift plans assume only two points (diagonal) carry the whole load for safety; a detailed calculation needs a rigging engineer.

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