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
Mass–Energy Equivalence
Energy equivalent of a mass from Einstein’s relation.
Pump Volumetric Efficiency
Volumetric efficiency of a positive-displacement pump.
Bernoulli Total Head
Total head of a flowing fluid — the sum of elevation, pressure and velocity heads.
Bolted Moment Connection Capacity
Tension force on the critical bolt row of a moment connection from the applied moment and lever arm, checked against the bolt group capacity.
Fillet Weld Group Shear Strength
Shear stress on the effective throat of a fillet weld group under a direct load, checked against the weld metal allowable stress.
Column Base Plate Bearing Pressure
Average bearing pressure under a steel column base plate on a concrete pier, checked against the allowable concrete bearing stress.
Anchor Bolt Tension Capacity
Tension demand per anchor bolt from a net uplift force, checked against the allowable tension capacity of a single anchor.
Block Shear Capacity of a Bolted Connection
Combined shear-yield and tension-fracture capacity along a bolted connection failure block, checked against the applied load.
Slip-Critical Bolted Connection Capacity
Friction-based slip resistance of a pretensioned bolt group, checked against the applied shear load.
Composite Beam Effective Flange Width
Effective width of a concrete slab acting compositely with a steel beam, taken as the lesser of a span fraction and the beam spacing.
Plate Girder Web Shear Buckling Stress
Elastic critical shear buckling stress of a thin plate girder web panel under shear loading.
Elastic Lateral-Torsional Buckling Moment
Elastic critical moment for lateral-torsional buckling of an unbraced steel beam, from a simplified closed-form expression.
Beam-Column Linear Interaction Ratio
Combined axial-plus-bending demand-to-capacity ratio for a beam-column, using the AISC-style linear interaction equation.
Seismic Base Shear (Equivalent Lateral Force)
Total seismic base shear on a building from the equivalent lateral force method, using a design spectral acceleration and response modification factor.
Wind Pressure and Force on a Building Face
Velocity pressure and resulting force on a building face from wind speed, air density, and a pressure coefficient.
Snow Drift Load at a Roof Step
Additional roof load from a snow drift accumulating against a roof step, from drift height and snow unit weight.
Prestressed Beam Bottom-Fibre Concrete Stress
Concrete stress at the bottom fibre of a prestressed beam, combining axial prestress, prestress eccentricity, and applied moment effects.
Prestress Loss from Elastic Shortening
Immediate prestress loss in a pretensioned concrete member caused by elastic shortening of the concrete as strands are released.
Timber Beam Allowable Bending Moment
Allowable bending moment for a rectangular timber beam from its section modulus and allowable bending stress.
Unreinforced Masonry Wall Compressive Capacity
Allowable axial compressive capacity of an unreinforced masonry wall from a simplified fraction of its net-area masonry strength.
Diaphragm Unit Shear Force
Unit shear force in a horizontal diaphragm from the total shear divided by the diaphragm depth.
Retaining Wall Overturning Factor of Safety
Factor of safety against overturning for a retaining wall, comparing resisting moment to driving (overturning) moment.
Retaining Wall Sliding Factor of Safety
Factor of safety against sliding for a retaining wall footing, comparing frictional resistance to the driving horizontal force.
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.