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
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.
Disc Brake Pad Contact Pressure
Average contact pressure between a disc brake pad and rotor from the clamping force and pad contact area.
Vibration Isolation Transmissibility
Force transmissibility ratio for an undamped vibration isolation mount, from the ratio of forcing frequency to natural frequency.
Critical (Whirling) Speed of a Rotating Shaft
Critical whirling speed of a simply supported rotating shaft carrying a central mass, from shaft stiffness and the mass it supports.
Rotating Unbalance Force
Centrifugal force generated by a rotating unbalance mass at a given eccentricity and rotational speed.
Journal Bearing Sommerfeld Number
Dimensionless Sommerfeld number characterizing a hydrodynamic journal bearing's operating condition, from geometry, oil viscosity, speed, and load.
Rolling Bearing Static Load Factor of Safety
Factor of safety against permanent deformation for a rolling-element bearing under static load, from the static load rating and equivalent static load.
Flywheel Moment of Inertia for a Speed Fluctuation
Required flywheel moment of inertia to limit cyclic speed fluctuation to a specified coefficient, given the cyclic energy variation and average speed.
Simple-Harmonic Cam Follower Displacement
Follower displacement at a given cam angle for a simple-harmonic-motion cam rise, from total lift and the rise angle.
Gear Train Mechanical Efficiency
Mechanical efficiency of a gear train from its output power relative to input power.
Bolted Flange Coupling Torque Capacity
Torque capacity of a bolted flange coupling from the allowable shear per bolt, bolt count, and bolt circle radius.
Screw Jack Mechanical Advantage
Theoretical mechanical advantage of a screw jack from the handle length and the screw lead.
Stopping Sight Distance
Total distance a vehicle travels while the driver reacts and then brakes to a stop.
Superelevation Rate for a Horizontal Curve
Banking rate needed on a horizontal curve so side friction alone does not have to resist all the cornering force.
Vertical Curve Length from a Design K-Value
Minimum parabolic vertical curve length from the AASHTO K-value method.
Pavement Structural Number (AASHTO)
Composite structural number of a flexible pavement section from layer coefficients and thicknesses.
Traffic Stream Density from Flow and Speed
Vehicle density on a roadway from the fundamental traffic-flow relationship k = q/v.