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.
59 examples found
Heat Loss through a Wall
Calculating heat loss through a wall
Heat Conduction Through a Wall
Steady-state conductive heat-transfer rate through a plane wall from Fourier’s law.
Sensible Heat for a Temperature Rise
Energy required to raise the temperature of a mass using its specific heat capacity.
Convective Heat Transfer Rate
Heat transfer rate from a surface to a moving fluid using Newton’s law of cooling.
Thermal Resistance of a Wall
Conductive thermal resistance of a plane wall layer, the building block of resistance networks.
Log Mean Temperature Difference (LMTD)
Effective temperature difference driving a heat exchanger from its terminal temperature differences.
Heat Exchanger Duty (U·A·LMTD)
Heat transfer rate of an exchanger from its overall coefficient, area and log-mean temperature difference.
Ideal Gas Law (Pressure)
Pressure of an ideal gas from amount, temperature and volume.
Carnot Efficiency
Maximum possible thermal efficiency of a heat engine operating between two temperatures.
Radiative Heat Transfer
Net or emitted thermal radiation from a surface using the Stefan–Boltzmann law.
Latent Heat of Phase Change
Energy needed to change the phase of a mass at constant temperature.
Heat Pump Coefficient of Performance
Ideal coefficient of performance of a heat pump between two temperatures.
Heat Rate from Mass Flow
Heat added to or removed from a flowing stream from its mass flow rate and temperature change.
Thermal Efficiency of an Engine
Thermal efficiency of a heat engine from work output and heat input.
Conductive Heat Flux
Heat flux through a material from its conductivity and temperature gradient.
Thermal Stress from Restraint
Stress induced in a fully restrained member by a temperature change.
Refrigerator Coefficient of Performance
Ideal coefficient of performance of a refrigerator between two temperatures.
Ideal Gas Density
Density of an ideal gas from pressure, temperature and molar mass.
Insulation R-Value
Thermal resistance per unit area (R-value) of an insulation layer.
Building Heat Loss (U-Value)
Steady heat loss through a building element from its U-value, area and temperature difference.
Wien’s Displacement Law
Peak emission wavelength of a hot body from its temperature.
Overall Heat-Transfer Coefficient
Overall U-value of a wall with convection on both sides and conduction through it.
Biot Number
Biot number comparing internal conduction to surface convection during transient heating.
Lumped-Capacitance Time Constant
Thermal time constant of a small body cooling by convection.