Engineering calculation examples
Free, 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.
Often opened: beam deflection formulas, bolt stiffness, pressure vessel wall thickness, ASME B31.8 pipe wall thickness, pressure drop in a pipe, weight from mass.
59 examples found
Journal Bearing Pressure
Projected bearing pressure of a journal (plain) bearing.
Disc Brake Torque
Braking torque from a disc brake’s friction force and radius.
Torque to Angularly Accelerate
Torque required to angularly accelerate a rotating mass.
Centrifugal Force of a Rotating Mass
Outward centrifugal force on a mass rotating at angular speed.
Hydraulic Cylinder Force
Output force of a hydraulic cylinder from the supply pressure and bore.
Fatigue Endurance Limit (Estimate)
First-estimate endurance limit of a steel from its ultimate tensile strength.
Springs in Series
Equivalent stiffness of two springs connected in series.
Springs in Parallel
Equivalent stiffness of two springs connected in parallel.
Damping Ratio
Damping ratio of a vibrating system from its damping, stiffness and mass.
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.
Engine Compression Ratio
Compression ratio of a reciprocating engine from its cylinder volumes.
Pump Volumetric Efficiency
Volumetric efficiency of a positive-displacement pump.
Fastener Fatigue Check (Modified Goodman Line)
Factor of safety against fatigue failure of a fastener under combined mean and alternating stress, using the modified Goodman relation.
Shaft Design for Combined Bending and Torsion
Equivalent bending stress in a solid shaft under combined bending moment and torque, using an ASME-style equivalent moment.
Lewis Formula Gear Tooth Bending Stress
Bending stress at the root of a spur gear tooth from the tangential tooth load, using the simplified Lewis form factor equation.
Stress Concentration at a Keyway
Local peak stress at a shaft keyway from the nominal stress and a stress concentration factor.
Thin-Walled Cylinder Longitudinal Stress
Longitudinal (axial) stress in a thin-walled pressurized cylinder from internal pressure and wall geometry.
Pressure Vessel Wall Thickness (Thin Cylinder)
Minimum required wall thickness for a thin-walled cylindrical pressure vessel from the internal pressure, allowable stress, and weld joint efficiency.
Flat Belt Length Between Two Pulleys
Required flat belt length for an open-belt drive between two pulleys of different diameters, from standard belt geometry.
Roller Chain Pitch Length
Required roller chain length in pitches for a two-sprocket drive, from center distance and tooth counts using the standard chain-length formula.
Multi-Plate Clutch Torque Capacity
Torque capacity of a multi-plate friction clutch under axial clamping force, using the uniform-wear model.