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📏 Productivity & Units

Bore Is Squared and Stroke Is Not, Which Is Why They Are Not Interchangeable

A millimetre of bore adds more capacity than a millimetre of stroke. And one cubic centimetre off the chamber moves compression from 10.5 to 10.68.

Displacement

In litres

as it would be badged

Cubic inches

Bore / stroke

 

Working

If you changed one thing

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How the calculation works

86 × 86 mm, four cylinders — add one millimetre where? standard 86 × 86 1998.2 cc stroke 87 mm 2021.5 cc +23.2 bore 87 mm 2045.0 cc +46.7 Twice as much, because the formula squares the bore and not the stroke.

How to Use This Tool

Enter bore, stroke and cylinder count. Add an overbore if the block has been machined, and set either a target compression ratio or a measured chamber volume.

The formula, and why bore matters more

A cylinder is a circle swept along a line, so its volume is:

π/4 × bore² × stroke, multiplied by the number of cylinders.

Bore appears squared and stroke does not. Starting from 86 × 86 mm in four cylinders — 1,998.2 cc — adding a millimetre of stroke gives 2,021.5 cc, while adding a millimetre of bore gives 2,045.0 cc. Twice the gain from the same millimetre.

That asymmetry is why rebuilds talk about overbores in fractions of a millimetre: +1.00 mm on a four-cylinder recovers worn bores and adds about 47 cc almost incidentally.

Oversquare, square, undersquare

The bore-to-stroke ratio describes the shape of the cylinder and hints at the engine's character:

  • Oversquare (bore > stroke, ratio above 1). Shorter stroke means lower piston speed at a given crank speed, so it can rev higher. There is more room in the head for larger valves. Typical of high-revving petrol engines.
  • Square (ratio 1.00), such as 86 × 86 — a common compromise.
  • Undersquare (bore < stroke, below 1), like 84 × 90 at 0.933. A longer stroke gives the connecting rod more leverage on the crank, favouring low-speed torque, and limits revs because piston speed rises faster. Typical of diesels and traditional truck engines.

These are tendencies rather than rules. Valve timing, port design, forced induction and fuel injection all shift an engine's character far more than the bore-stroke ratio does — it is a hint about intent, not a prediction of behaviour.

One cylinder of 499.56 cc chamber 52.58 cc 10.50 : 1 chamber 51.58 cc 10.68 : 1 A single cubic centimetre — a skimmed head or a thinner gasket — moves the ratio by 0.18, because the chamber is the small number in the fraction.
Which is why chamber volume gets measured with a burette rather than looked up.

Compression ratio is not displacement

Displacement is how much air the pistons sweep. Compression ratio is how much that air is squeezed:

CR = (swept volume + clearance volume) / clearance volume

Clearance volume is everything left above the piston at top dead centre — the combustion chamber in the head, the head gasket bore, the piston-to-deck gap, and the piston's own dish or dome.

For one 499.56 cc cylinder at 10.5:1, the clearance works out at 52.58 cc. Take one cc away and the ratio becomes 10.68. Because the clearance volume is the small number in the fraction, tiny changes move the ratio a lot — and it is why engine builders measure chamber volume with a burette instead of trusting a figure from a catalogue.

What this cannot tell you

The calculation here treats clearance volume as one number. A real measurement adds up several contributions, and the piston dish or dome can be either sign. It also says nothing about dynamic compression, which depends on when the inlet valve closes and is what actually decides whether an engine will detonate on a given fuel.

Raising static compression without accounting for cam timing, fuel octane and knock control is how engines get damaged. Treat this as arithmetic for planning, not as a build specification.

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Frequently Asked Questions

How do you calculate engine displacement?
π/4 × bore² × stroke × number of cylinders. With bore and stroke in millimetres the result is in cubic millimetres, so divide by 1,000 for cc. An 86 by 86 mm four-cylinder comes to 1,998.2 cc.
Does bore or stroke add more capacity?
Bore, because the formula squares it. From 86 by 86 mm in four cylinders, adding one millimetre of stroke gains 23.2 cc while adding one millimetre of bore gains 46.7 cc — twice as much from the same millimetre.
What does oversquare mean in an engine?
The bore is larger than the stroke. A shorter stroke means lower piston speed at a given engine speed, so it can rev higher, and the wider bore leaves room for larger valves. Undersquare is the reverse and favours low-speed torque.
How is compression ratio calculated?
Swept volume plus clearance volume, divided by clearance volume. For one 499.56 cc cylinder at 10.5:1 the clearance volume is 52.58 cc — and removing just one cc from it raises the ratio to 10.68.
Why does skimming the head change compression so much?
Because clearance volume is the small number in the fraction, so small absolute changes are large relative ones. One cubic centimetre off a 52.58 cc chamber moves the ratio by 0.18, which is why builders measure chamber volume with a burette rather than assuming it.
Is a higher compression ratio always better?
No. Higher compression improves efficiency up to the point where the fuel detonates, and that limit depends on octane, cam timing, chamber design and knock control. Static compression alone does not determine it — dynamic compression, set by when the inlet valve closes, is what actually matters.

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