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Example library

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.

56 examples found

Preview of Pressure Drop in a Pipe worksheet
Fluid Mechanics & Hydraulics

Pressure Drop in a Pipe

Calculating the pressure drop in a pipe

199 views 107 edits
Preview of Reynolds Number for Pipe Flow worksheet
Fluid Mechanics & Hydraulics

Reynolds Number for Pipe Flow

Reynolds number for flow in a circular pipe to classify laminar versus turbulent flow.

49 views 57 edits
Preview of Darcy–Weisbach Pipe Head Loss worksheet
Fluid Mechanics & Hydraulics

Darcy–Weisbach Pipe Head Loss

Friction head loss along a pipe run using the Darcy–Weisbach equation.

49 views 61 edits
Preview of Pipe Flow Velocity from Flow Rate worksheet
Fluid Mechanics & Hydraulics

Pipe Flow Velocity from Flow Rate

Mean flow velocity in a circular pipe from the volumetric flow rate and diameter.

48 views 54 edits
Preview of Volumetric Flow Rate from Velocity worksheet
Fluid Mechanics & Hydraulics

Volumetric Flow Rate from Velocity

Volumetric flow rate in a circular pipe from the mean velocity and pipe diameter.

47 views 57 edits
Preview of Torricelli Discharge Velocity worksheet
Fluid Mechanics & Hydraulics

Torricelli Discharge Velocity

Ideal efflux velocity of fluid leaving an opening under a head of liquid.

41 views 59 edits
Preview of Orifice Flow Rate worksheet
Fluid Mechanics & Hydraulics

Orifice Flow Rate

Discharge through a sharp-edged orifice using a discharge coefficient.

32 views 58 edits
Preview of Pump Hydraulic Power worksheet
Fluid Mechanics & Hydraulics

Pump Hydraulic Power

Hydraulic power a pump must deliver to lift a flow rate through a given head.

24 views 41 edits
Preview of Pipe Wall Thickness (Barlow’s Formula) worksheet
Fluid Mechanics & Hydraulics

Pipe Wall Thickness (Barlow’s Formula)

Minimum pipe wall thickness to contain internal pressure using Barlow’s formula.

32 views 51 edits
Preview of Buoyancy Force (Archimedes) worksheet
Fluid Mechanics & Hydraulics

Buoyancy Force (Archimedes)

Upward buoyant force on a submerged body from the weight of fluid it displaces.

27 views 38 edits
Preview of Aerodynamic Drag Force worksheet
Fluid Mechanics & Hydraulics

Aerodynamic Drag Force

Drag force on a body moving through a fluid from its drag coefficient, speed and frontal area.

30 views 41 edits
Preview of Terminal Velocity of a Falling Body worksheet
Fluid Mechanics & Hydraulics

Terminal Velocity of a Falling Body

Steady fall speed of a body when aerodynamic drag balances its weight.

27 views 45 edits
Preview of Hydrostatic Pressure at Depth worksheet
Fluid Mechanics & Hydraulics

Hydrostatic Pressure at Depth

Gauge pressure at a given depth in a static fluid.

30 views 50 edits
Preview of Mach Number worksheet
Fluid Mechanics & Hydraulics

Mach Number

Mach number of a flow from its speed and the local speed of sound.

27 views 47 edits
Preview of Continuity: Velocity Change worksheet
Fluid Mechanics & Hydraulics

Continuity: Velocity Change

Velocity after a change of pipe area from the continuity equation.

28 views 52 edits
Preview of Hydraulic Radius of a Channel worksheet
Fluid Mechanics & Hydraulics

Hydraulic Radius of a Channel

Hydraulic radius of a flow cross-section from its area and wetted perimeter.

26 views 52 edits
Preview of Froude Number worksheet
Fluid Mechanics & Hydraulics

Froude Number

Froude number of an open-channel or marine flow.

25 views 50 edits
Preview of Rectangular Weir Flow worksheet
Fluid Mechanics & Hydraulics

Rectangular Weir Flow

Discharge over a sharp-crested rectangular weir.

22 views 42 edits
Preview of Pump Affinity Law (Flow vs Speed) worksheet
Fluid Mechanics & Hydraulics

Pump Affinity Law (Flow vs Speed)

New pump flow rate when its speed changes, via the affinity laws.

21 views 48 edits
Preview of Pipe Friction Pressure Drop worksheet
Fluid Mechanics & Hydraulics

Pipe Friction Pressure Drop

Frictional pressure drop along a pipe from the Darcy–Weisbach equation.

26 views 49 edits
Preview of Capillary Rise worksheet
Fluid Mechanics & Hydraulics

Capillary Rise

Height a liquid rises in a fine tube by surface tension.

24 views 45 edits
Preview of Stokes Drag on a Sphere worksheet
Fluid Mechanics & Hydraulics

Stokes Drag on a Sphere

Viscous drag on a small sphere moving slowly through a fluid.

23 views 41 edits
Preview of Pitot Tube Velocity worksheet
Fluid Mechanics & Hydraulics

Pitot Tube Velocity

Flow velocity from the dynamic pressure measured by a Pitot tube.

25 views 37 edits
Preview of Manometer Pressure Difference worksheet
Fluid Mechanics & Hydraulics

Manometer Pressure Difference

Pressure difference indicated by the height of liquid in a manometer.

23 views 41 edits