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
Pipe Flow Velocity from Flow Rate
Mean flow velocity in a circular pipe from the volumetric flow rate and diameter.
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.
Ohm's Law Resistor Power
Current and power dissipation in a resistor from Ohm’s law.
RC Circuit Time Constant
Time constant and approximate settling time of a series resistor–capacitor circuit.
Three-Phase Real Power
Real (active) power delivered by a balanced three-phase system from line voltage, current and power factor.
Spread Footing Bearing Pressure
Gross bearing pressure under a rectangular spread footing and the factor of safety against the allowable pressure.
Principal Stresses (Mohr's Circle)
Principal stresses and maximum in-plane shear stress from a plane stress state using Mohr’s circle.
Hydrostatic Force on a Retaining Wall
Resultant hydrostatic force and its line of action on a vertical wall retaining water.
Quadratic Formula Roots
Real roots of a quadratic equation and its discriminant via the quadratic formula.
Projectile Motion Range
Range, maximum height and flight time of a projectile launched over level ground.
Simply Supported Beam Reactions (Point Load)
Support reactions of a simply supported beam carrying a single point load at an arbitrary position.
Maximum Bending Moment (Simply Supported UDL)
Peak mid-span bending moment of a simply supported beam under a uniformly distributed load.
Section Modulus and Bending Stress
Elastic section modulus of a rectangular section and the bending stress it produces under a given moment.
Plastic Moment Capacity (Rectangular)
Plastic section modulus and fully-plastic moment of a rectangular section.
Column Slenderness Ratio
Radius of gyration and slenderness ratio of a column, the key parameter for buckling.
Combined Axial and Bending Stress
Peak fibre stress in a member carrying simultaneous axial load and bending moment.
Fillet Weld Shear Strength
Throat area and shear stress of a fillet weld carrying a direct load.
Maximum Shear Stress in a Rectangular Beam
Peak transverse shear stress at the neutral axis of a rectangular beam section.
Fixed-Fixed Beam Deflection (UDL)
Mid-span deflection of a built-in (fixed-fixed) beam under a uniformly distributed load.
Cantilever Deflection Under a UDL
Tip deflection of a cantilever beam carrying a uniformly distributed load along its length.
Shaft Power from Torque and Speed
Mechanical power transmitted by a rotating shaft from its torque and angular speed.
Gear Ratio and Output Torque
Gear ratio of a meshing pair and the output torque it produces from a given input torque.
Belt / Pulley Surface Speed
Linear belt speed at the rim of a rotating pulley from its diameter and rotational speed.