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.
315 examples
Specific Weight of a Fluid
Weight per unit volume of a fluid from its density.
Cylindrical Tank Volume
Volume of a vertical cylindrical tank from its radius and height.
Mass Flow Rate from Volume Flow
Mass flow rate of a fluid from its density and volumetric flow rate.
Pressure from Force and Area
Pressure exerted by a force distributed over an area.
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.
Axial Strain Energy
Elastic strain energy stored in an axially loaded member.
Shear Modulus from Elastic Constants
Shear modulus of an isotropic material from its Young’s modulus and Poisson’s ratio.
Lateral Strain (Poisson Effect)
Lateral contraction strain accompanying an axial strain via Poisson’s ratio.
Torsional Stiffness of a Shaft
Torsional stiffness (torque per unit twist) of a circular shaft.
Natural Frequency of a Spring–Mass System
Undamped natural frequency of a single-degree-of-freedom spring–mass system.
Fixed-End Moment (UDL)
Fixed-end moment of a built-in beam under a uniformly distributed load.
Bolt Preload from Tightening Torque
Tension developed in a bolt by a tightening torque via the nut factor.
Mid-Span Deflection (Central Point Load)
Mid-span deflection of a simply supported beam under a central point load.
Polar Moment of Inertia of a Shaft
Polar second moment of area of a solid circular shaft.
Second Moment of Area of a Circle
Second moment of area of a solid circular section about a diameter.
Radius of Gyration of a Section
Radius of gyration of a cross-section from its second moment of area and area.
Web Shear Stress in a Beam
Average shear stress in the web of a beam from the shear force and web dimensions.
Bearing Stress at a Bolt Hole
Bearing stress of a bolt against the plate it presses on.
Bolt Tensile Stress
Tensile stress in a bolt from the applied tension and its stress area.
Allowable Stress (ASD)
Allowable working stress from the yield strength and a factor of safety.