Free · Machines and mechanisms calculators ⚙️
Engine Torque, Displacement & BMEP
Calculate brake mean effective pressure from torque, total swept displacement and crankshaft revolutions per cycle.
- Formula & worked example
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Calculator inputs
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How to use this calculator
- Enter the known values in the units shown. Results update as you type.
- Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
- Use the worked example to check the method. Reset restores the starting fields.
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Formula and method
A four-stroke engine producing 100 N·m with total displacement 2,000 cm³ has BMEP 200π kPa, approximately 628.32 kPa or 6.2832 bar.
BMEP = 2π × crank revolutions per cycle × torque / total swept displacement
Worked example
Enter these known values and leave the other values blank.
- Engine cycle
- Four-stroke engine
- Total swept engine displacement
- 2000 cc
- Brake torque
- 100 N·m
- Crank revolutions per cycle
- 2 rev/cycle
- Brake mean effective pressure
- 628.3 kPa
Assumptions and limitations
- Displacement, torque, revolutions per cycle and BMEP are positive. Use total swept displacement over all cylinders, not combustion-chamber volume or one-cylinder displacement.
- The four-stroke preset uses two crankshaft revolutions per cycle; the two-stroke preset uses one. Choose the custom option to supply another positive cycle count.
- BMEP expresses brake work per cycle divided by displacement. It is an equivalent average pressure, not peak cylinder pressure or a pressure measured throughout the combustion cycle.
Common questions
Why do four-stroke and two-stroke presets differ?
They complete a cycle in different numbers of crank revolutions. At equal torque and displacement, the four-stroke BMEP is twice the two-stroke value.
Do I need RPM for this formula?
No. RPM is needed to relate torque to power, but it cancels when BMEP is calculated directly from torque and displacement.
References
- MIT OpenCourseWare: mean effective pressure and engine cycles
- NIST: SI and customary unit definitions
- Calculation definition and unit reference
The US fluid ounce uses one 128th of the exact US liquid gallon, replacing the rounded captured reciprocal factor. Kilogram-force centimeters use standard gravity and exactly one centimeter. Pound-force feet use the exact international pound and foot with standard gravity. Pound-force inches use the exact international pound and inch with standard gravity. Pounds-force per square inch use the exact international pound and inch with standard gravity, replacing the rounded captured factor. Pounds-force per square foot use the exact international pound and foot with standard gravity.
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