Engines Cubic Inch Displacement: Bus Companies and Automotive Automobile Reviews

Engines Cubic Inch Displacement

Mathematical Equation for Engine CIDEngine Displacement Equation

The equation for any displacement in cubic inches is as follows:

π ÷ 4 (b2) (stroke) (number of cylinders)

That is pi divided by four, 0.7854, multiplied by the cylinder bore squared. Cylinder bore is the diameter (in inches) of each cylinder, times that number again. Multiply that by the stroke in inches of the crankshaft. In other words the distance each piston in the engine travels from bottom to top dead center. And finally multiply that by the number of cylinders that exist in that engine.

Here’s an example using a Chevrolet 350

The specs of this engine are as follows:

Bore: 4 inches

Stroke: 3.48

Cylinders: 8

So we take the four inch bore and multiply it by itself:

4 x 4 = 16

Now we can plug all the numbers into the equation

π ÷ 4 (b2) (stroke) (number of cylinders)

0.7854 x 16 x 3.48 x 8

This gives us approx. 349.85, which rounds up to 350.

Now we can complicate things a little bit. How would you increase the displacement of this engine? Lets take that same 350 now and bring it to a machine shop where we bore the block out 0.030 inches over. This will bring our bore to 4.03. So now we have the following.

Bore: 4.03

Stroke: 3.48

Cylinders: 8

So when we plug this into the equation we get

.7854 x 16.2409 x 3.48 x 8

This would give up a total engine displacement of approx. 355.12, which rounds down to a 355.

Another common way to increase engine displacement is to increase the stroke of the cylinders. In many Chevrolet 350 engines, the most common way to do this is to replace the stock 3.48 inch crankshaft with a small block 400 crankshaft. This increases the stroke to 3.75 inches. With just this modification, the numbers are now as follows:

Bore: 4

Stroke: 3.75

Cylinders: 8

So the equation would look like this

.7854 x 16 x 3.75 x 8

This would give us an overall engine displacement of approx. 376.992, which would round up to a 377. However many engine builders decide to bore the cylinders out during this type of rebuild as well as adding the crankshaft. If both were to be achieved, we would plug in the numbers as follows:

Bore: 4.03

Stroke: 3.75

Cylinders: 8

That gives us:.7854 x 16.2409 x 3.75 x 8

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Engines Cubic Inch Displacement

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