Use the calculator tabs to compute engine displacement (swept volume) from bore diameter, stroke length, and number of cylinders. If you want a cranking compression pressure estimate, use the “DCR to Cranking PSI” tab, which estimates pressure from dynamic compression ratio (DCR) and altitude.
Engine Displacement (Swept Volume) Formula
The following formula is used to calculate total engine displacement (total swept volume) from bore, stroke, and cylinder count. (This formula calculates volume, not cranking pressure.)
DISP = (\pi/4)\,BD^2\,SL\,CN
Variables:
- DISP is the total engine displacement (swept volume) (in³ if BD and SL are in inches)
- BD is the bore diameter (inches)
- SL is the stroke length (inches)
- CN is the number of cylinders
To calculate displacement, square the bore diameter, multiply by the stroke length and the number of cylinders, and then multiply by π/4 (≈ 0.7854).
What is Cranking Pressure?
Cranking pressure is the pressure generated inside an engine's cylinders when the engine is being cranked by the starter motor before it starts running. It is an important parameter for diagnosing engine health and performance. Higher cranking pressures generally indicate good sealing and compression within the engine's cylinders, which is critical for efficient engine operation. Cranking pressure is typically measured with a compression gauge; it cannot be determined from bore, stroke, and cylinder count alone. The “DCR to Cranking PSI” tab provides an idealized estimate based on DCR and altitude.
How to Calculate Engine Displacement?
The following steps outline how to calculate the engine displacement (swept volume).
- First, measure the bore diameter (BD) in inches.
- Next, measure the stroke length (SL) in inches.
- Determine the number of cylinders (CN) in the engine.
- Use the formula DISP = (π/4) × BD² × SL × CN to calculate total displacement.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
bore diameter (BD) = 4 inches
stroke length (SL) = 3.5 inches
number of cylinders (CN) = 6
Using the formula, the total engine displacement (DISP) is calculated as:
DISP = (π/4 × 4^2 × 3.5 × 6) ≈ 263.89 in³
