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Example library

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

Preview of Percentage Voltage Drop Check on a Feeder worksheet
Electrical Engineering

Percentage Voltage Drop Check on a Feeder

Voltage drop expressed as a percentage of nominal voltage for a quick feeder compliance check.

7 views 18 edits
Preview of Solar PV Array Panel Count Sizing worksheet
Electrical Engineering

Solar PV Array Panel Count Sizing

Number of solar panels needed to meet a daily energy target given peak sun hours and system efficiency.

9 views 17 edits
Preview of Battery Bank Capacity for Backup Power worksheet
Electrical Engineering

Battery Bank Capacity for Backup Power

Battery bank capacity in amp-hours needed to power a backup load for a target duration.

9 views 19 edits
Preview of Battery Charge Time from Charger Current worksheet
Electrical Engineering

Battery Charge Time from Charger Current

Time needed to recharge a battery from its amp-hour capacity and the charger’s current output.

8 views 20 edits
Preview of Wind Turbine Power Output worksheet
Electrical Engineering

Wind Turbine Power Output

Mechanical power a wind turbine extracts from the wind given rotor size, wind speed, and power coefficient.

6 views 19 edits
Preview of Non-Inverting Op-Amp Gain worksheet
Electrical Engineering

Non-Inverting Op-Amp Gain

Voltage gain of a non-inverting operational amplifier stage from its feedback resistor ratio.

9 views 25 edits
Preview of RC Low-Pass Filter Cutoff Frequency worksheet
Electrical Engineering

RC Low-Pass Filter Cutoff Frequency

Cutoff (-3 dB) frequency of a simple resistor-capacitor low-pass filter.

11 views 24 edits
Preview of LED Series Current-Limiting Resistor worksheet
Electrical Engineering

LED Series Current-Limiting Resistor

Series resistor value needed to limit current through an LED to its safe rated value.

7 views 18 edits
Preview of Total Harmonic Distortion (Two Harmonics, Simplified) worksheet
Electrical Engineering

Total Harmonic Distortion (Two Harmonics, Simplified)

Total harmonic distortion of a waveform from its fundamental and two harmonic voltage components.

8 views 24 edits
Preview of Power Inverter Efficiency worksheet
Electrical Engineering

Power Inverter Efficiency

Conversion efficiency of a power inverter from its output and input power.

8 views 16 edits
Preview of Conductor Cross-Section from Allowable Voltage Drop worksheet
Electrical Engineering

Conductor Cross-Section from Allowable Voltage Drop

Minimum conductor cross-sectional area needed to keep voltage drop within an allowable limit.

8 views 19 edits
Preview of Distillation Column Reflux Ratio worksheet
Chemical & Process Engineering

Distillation Column Reflux Ratio

The ratio of liquid returned to the top of a distillation column versus product drawn off, the main knob operators turn to trade separation quality against energy cost.

15 views 22 edits
Preview of Heat Released by Fuel Combustion worksheet
Chemical & Process Engineering

Heat Released by Fuel Combustion

The total chemical energy released when a known mass of fuel is burned, found from its higher heating value.

10 views 20 edits
Preview of CSTR Reactor Residence Time worksheet
Chemical & Process Engineering

CSTR Reactor Residence Time

The average time a fluid element spends inside a continuously stirred tank reactor, the key variable that controls conversion.

16 views 21 edits
Preview of PFR Conversion for a First-Order Reaction worksheet
Chemical & Process Engineering

PFR Conversion for a First-Order Reaction

The fractional conversion achieved in a plug-flow reactor running a first-order reaction, from the rate constant and residence time.

20 views 20 edits
Preview of Mass Transfer NTU from a Volumetric Coefficient worksheet
Chemical & Process Engineering

Mass Transfer NTU from a Volumetric Coefficient

The number of transfer units (NTU) for a mass-transfer contactor, built from a lumped volumetric mass-transfer coefficient and the contact time.

12 views 21 edits
Preview of Minimum Fluidization Velocity (Simplified Force Balance) worksheet
Chemical & Process Engineering

Minimum Fluidization Velocity (Simplified Force Balance)

The superficial gas velocity at which drag on a bed of particles just balances their submerged weight, marking the onset of fluidization.

10 views 18 edits
Preview of Evaporator Steam Economy worksheet
Chemical & Process Engineering

Evaporator Steam Economy

The ratio of water vapor evaporated to steam consumed in a process evaporator, a key efficiency metric for concentration plants.

12 views 24 edits
Preview of Absorption Column Packing Height (HTU–NTU) worksheet
Chemical & Process Engineering

Absorption Column Packing Height (HTU–NTU)

The required packing height for a gas absorption column, found from the height of a transfer unit times the number of transfer units needed.

11 views 21 edits
Preview of Dilution to a Target Concentration worksheet
Chemical & Process Engineering

Dilution to a Target Concentration

The volume of solvent needed to dilute a stock solution down to a target concentration, from the conservation of solute mass.

10 views 36 edits
Preview of Vapor Pressure Estimate (Antoine Equation) worksheet
Chemical & Process Engineering

Vapor Pressure Estimate (Antoine Equation)

An estimate of a liquid's vapor pressure at a given temperature using the empirical three-constant Antoine equation.

13 views 24 edits
Preview of Rankine Cycle Thermal Efficiency (Simplified) worksheet
Thermodynamics & Heat Transfer

Rankine Cycle Thermal Efficiency (Simplified)

A first-law estimate of Rankine (steam power) cycle efficiency directly from the heat added and heat rejected per unit mass of working fluid.

9 views 15 edits
Preview of Brayton Cycle Thermal Efficiency worksheet
Thermodynamics & Heat Transfer

Brayton Cycle Thermal Efficiency

The ideal thermal efficiency of a gas turbine (Brayton) cycle from its pressure ratio and the working gas's specific heat ratio.

10 views 18 edits
Preview of Vapor-Compression Refrigeration COP worksheet
Thermodynamics & Heat Transfer

Vapor-Compression Refrigeration COP

The coefficient of performance of a vapor-compression refrigeration or air-conditioning cycle, the ratio of cooling delivered to compressor work spent.

9 views 19 edits