Example engineering calculations
Worked, unit-aware calculation worksheets across structural, mechanical, electrical and more. Open any example into your own workspace to edit and reuse. New to Calculeaf? Start with your first worksheet or the examples guide.
515 examples
Doppler Frequency Shift
Observed frequency from an approaching sound source (Doppler effect).
Lens Magnification
Magnification produced by a lens from the image and object distances.
Critical Angle (Total Internal Reflection)
Critical angle beyond which light is totally internally reflected.
Refractive Index
Refractive index of a medium from the speed of light in it.
Lens Power (Dioptres)
Optical power of a lens in dioptres from its focal length.
Simple Interest
Simple interest earned on a principal over time.
Present Value
Present value of a future sum discounted at a given rate.
Payback Period
Simple payback period of an investment from its cost and annual saving.
Straight-Line Depreciation
Annual straight-line depreciation of an asset.
Efficiency of a Two-Stage System
Overall efficiency of two processes in series from their individual efficiencies.
Power Plant Heat Rate
Heat rate of a power plant — fuel energy per unit of electricity generated.
Specific Fuel Consumption
Specific fuel consumption — fuel mass per unit of energy produced.
Battery Energy Capacity
Energy stored in a battery from its charge capacity and voltage.
Solar Panel Power Output
Electrical power from a solar panel given irradiance, area and efficiency.
Wind Turbine Power
Power a wind turbine extracts from the wind.
Compound Gear Train Ratio
Overall ratio of a two-stage compound gear train.
Pulley System Mechanical Advantage
Mechanical advantage of a block-and-tackle pulley system.
Air–Fuel Ratio
Air–fuel ratio of a combustion process by mass.
Energy from Fuel Calorific Value
Energy released by burning a fuel from its mass and calorific value.
Boiler Efficiency
Boiler efficiency from useful heat output and fuel energy input.
Net Radiation Between Surfaces
Net radiative heat exchange between a hot surface and cooler surroundings.
Area Thermal Expansion
Increase in area of a plate from a temperature rise.
Engine Compression Ratio
Compression ratio of a reciprocating engine from its cylinder volumes.
Otto Cycle Efficiency
Ideal thermal efficiency of the Otto (petrol-engine) cycle.