Science & engineering

Engine displacement bore stroke and overbore calculator

Calculate engine swept displacement and the geometric effect of an entered overbore using millimetres, cubic centimetres and litres.

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Calculate engine swept displacement and the geometric effect of an entered overbore using millimetres, cubic centimetres and litres.

Worked example comparison
ExampleOutputWhat to notice
Worked exampleTotal swept displacement1,608.495439 ccFour cylinders with an 80 mm bore and 80 mm stroke displace about 1,608.50 cc. A 1 mm diameter increase raises this to about 1,648.96 cc.
Compare one assumptionTotal swept displacement1,608.495439 ccOnly the selected assumption changes. Compare the detailed table and headline result with the worked example.
Larger planning caseTotal swept displacement6,433.981755 ccDouble the first measured quantity and inspect which outputs scale and which remain fixed or round to whole units.

Check your understanding

What is the worked example result?

Four cylinders with an 80 mm bore and 80 mm stroke displace about 1,608.50 cc. A 1 mm diameter increase raises this to about 1,648.96 cc.

What is the key modelling limit?

An overbore is added to diameter before squaring, not added as a percentage of the final volume. This explains why twice the diameter increase does not produce exactly twice the volume gain. The result cannot establish safe machining depth, liner suitability or acceptable wall thickness.

Behind the numbers

How this calculation works

Bore supplies a circular area and stroke supplies the distance swept by the piston. Multiplying by cylinder count gives the complete engine displacement. Chamber volume above the piston does not belong in this swept-volume number.

THE FORMULASwept cc = π / 4 × bore² × stroke × cylinders / 1000

A worked example

Four cylinders with an 80 mm bore and 80 mm stroke displace about 1,608.50 cc. A 1 mm diameter increase raises this to about 1,648.96 cc.

Good to know

An overbore is added to diameter before squaring, not added as a percentage of the final volume. This explains why twice the diameter increase does not produce exactly twice the volume gain. The result cannot establish safe machining depth, liner suitability or acceptable wall thickness.

Displacement measures the piston sweep

Bore supplies a circular area and stroke supplies the distance swept by the piston.

Multiplying by cylinder count gives the complete engine displacement. Chamber volume above the piston does not belong in this swept-volume number.

The Static engine compression ratio calculator adds a separate clearance-volume budget to swept displacement. Total engine displacement and per-cylinder chamber volume must not be substituted for one another.

Small diameter changes have a squared effect

An overbore is added to diameter before squaring, not added as a percentage of the final volume.

This explains why twice the diameter increase does not produce exactly twice the volume gain. The result cannot establish safe machining depth, liner suitability or acceptable wall thickness.

Keep cylinder count out of per-cylinder quantities

Double the entered cylinder count without changing bore or stroke. The total swept displacement should double, while swept volume per cylinder remains the same. This gives a simple independent check when comparing an engine specification stated in litres with workshop dimensions stated in millimetres.

The conversion to cubic centimetres divides cubic millimetres by one thousand, not by ten. A length conversion appears three times in a volume. If a result looks a thousand times too large, inspect the units before questioning the circular-area formula or adding a correction factor.

Work through the entered example

Four cylinders with an 80 mm bore and 80 mm stroke displace about 1,608.50 cc. A 1 mm diameter increase raises this to about 1,648.96 cc.

Start with this case, then change one input and calculate again. Keep the other assumptions fixed so the result has an interpretable cause. The result table exposes intermediate quantities and units rather than hiding them behind a single headline number.

Use the output in a real plan

An overbore is added to diameter before squaring, not added as a percentage of the final volume. This explains why twice the diameter increase does not produce exactly twice the volume gain. The result cannot establish safe machining depth, liner suitability or acceptable wall thickness.

Before purchasing material or comparing alternatives, check the measurements at the point where they enter the calculation. A mathematically precise answer can still be a poor plan when the measured size, loss allowance or price basis is wrong. Save the input assumptions with any result you intend to reuse.

A few questions, answered

What is the calculation method?

Swept cc = π / 4 × bore² × stroke × cylinders / 1000

Does this use live prices or automatic measurements?

No. All measurements, prices and allowances come from your entries. The example values are illustrative and are not a recommendation for your situation.

Can I reuse the result for a different case?

Change the inputs and calculate again. Read the stated units and limits; the assumptions must still apply to the new case.

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