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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 Bernoulli Pressure Change worksheet
Fluid Mechanics & Hydraulics

Bernoulli Pressure Change

Pressure at a second point along a streamline from Bernoulli’s equation (same elevation).

21 views 39 edits
Preview of Bulk Modulus of a Fluid worksheet
Fluid Mechanics & Hydraulics

Bulk Modulus of a Fluid

Bulk modulus of a fluid from a pressure change and the volume change it causes.

22 views 37 edits
Preview of Specific Energy in Open Channel Flow worksheet
Fluid Mechanics & Hydraulics

Specific Energy in Open Channel Flow

Specific energy of open-channel flow from depth and velocity.

26 views 55 edits
Preview of Pressure Head worksheet
Fluid Mechanics & Hydraulics

Pressure Head

Equivalent height of fluid (head) for a given pressure.

14 views 42 edits
Preview of Pump Overall Efficiency worksheet
Fluid Mechanics & Hydraulics

Pump Overall Efficiency

Overall efficiency of a pump from its hydraulic and shaft power.

25 views 41 edits
Preview of Velocity Head worksheet
Fluid Mechanics & Hydraulics

Velocity Head

Velocity head (kinetic energy per unit weight) of a flowing fluid.

19 views 42 edits
Preview of Mass Flow Through a Nozzle worksheet
Fluid Mechanics & Hydraulics

Mass Flow Through a Nozzle

Mass flow rate through a nozzle from density, area and velocity.

23 views 41 edits
Preview of Venturi Meter Flow Rate worksheet
Fluid Mechanics & Hydraulics

Venturi Meter Flow Rate

Flow rate from the pressure drop across a venturi meter.

25 views 47 edits
Preview of Flat-Plate Reynolds Number worksheet
Fluid Mechanics & Hydraulics

Flat-Plate Reynolds Number

Reynolds number for flow over a flat plate from the plate length.

22 views 42 edits
Preview of Pipe Full-Bore Flow worksheet
Fluid Mechanics & Hydraulics

Pipe Full-Bore Flow

Flow rate of a pipe running full from its area and velocity.

24 views 42 edits
Preview of Specific Gravity worksheet
Fluid Mechanics & Hydraulics

Specific Gravity

Specific gravity of a fluid relative to water.

18 views 36 edits
Preview of Bernoulli Total Head worksheet
Fluid Mechanics & Hydraulics

Bernoulli Total Head

Total head of a flowing fluid — the sum of elevation, pressure and velocity heads.

26 views 46 edits
Preview of Open Channel Discharge (Manning Conveyance Form) worksheet
Fluid Mechanics & Hydraulics

Open Channel Discharge (Manning Conveyance Form)

The discharge through an open channel from its lumped conveyance factor and bed slope, using the conveyance form of Manning's equation.

5 views 15 edits
Preview of Hydraulic Jump Sequent Depth Ratio worksheet
Fluid Mechanics & Hydraulics

Hydraulic Jump Sequent Depth Ratio

The downstream (sequent) depth that follows a hydraulic jump in an open channel, from the upstream Froude number.

9 views 21 edits
Preview of Critical Depth in a Rectangular Channel worksheet
Fluid Mechanics & Hydraulics

Critical Depth in a Rectangular Channel

The critical flow depth in a rectangular open channel, the depth at which specific energy is minimized for a given discharge.

7 views 19 edits
Preview of Specific Energy in an Open Channel worksheet
Fluid Mechanics & Hydraulics

Specific Energy in an Open Channel

The specific energy of open-channel flow at a given depth and unit discharge, combining potential and kinetic energy relative to the channel bed.

7 views 16 edits
Preview of Choked Compressible Flow Rate Through an Orifice worksheet
Fluid Mechanics & Hydraulics

Choked Compressible Flow Rate Through an Orifice

The maximum (choked) mass flow rate of a compressible gas discharging through an orifice from a high-pressure reservoir.

8 views 13 edits
Preview of Isentropic Stagnation Pressure from Mach Number worksheet
Fluid Mechanics & Hydraulics

Isentropic Stagnation Pressure from Mach Number

The stagnation (total) pressure of a compressible flow at a given static pressure and Mach number, from the isentropic flow relations.

6 views 20 edits
Preview of Water Hammer Pressure Surge (Joukowsky Equation) worksheet
Fluid Mechanics & Hydraulics

Water Hammer Pressure Surge (Joukowsky Equation)

The pressure surge generated by a sudden change in flow velocity in a pipeline, from the Joukowsky water hammer equation.

4 views 18 edits
Preview of Net Positive Suction Head Available (NPSHa) worksheet
Fluid Mechanics & Hydraulics

Net Positive Suction Head Available (NPSHa)

The net positive suction head available at a pump's suction, the margin above vapor pressure that keeps the pump from cavitating.

5 views 12 edits
Preview of Cavitation Number worksheet
Fluid Mechanics & Hydraulics

Cavitation Number

A dimensionless index comparing the local pressure margin above vapor pressure to the flow's dynamic pressure, used to assess cavitation risk.

5 views 17 edits
Preview of Control Valve Flow Coefficient (Kv, Metric) worksheet
Fluid Mechanics & Hydraulics

Control Valve Flow Coefficient (Kv, Metric)

The metric flow coefficient Kv of a control valve, derived from its flow rate, fluid specific gravity, and pressure drop.

7 views 16 edits
Preview of Pump Specific Speed (Dimensionless Index) worksheet
Fluid Mechanics & Hydraulics

Pump Specific Speed (Dimensionless Index)

A shape-classifying index for centrifugal pumps computed from the plain numeric rpm, gpm, and feet-of-head values at the best efficiency point.

4 views 19 edits
Preview of Pump System Curve Operating Head worksheet
Fluid Mechanics & Hydraulics

Pump System Curve Operating Head

The total dynamic head a pump must overcome at a given flow, combining a fixed static lift with head loss that grows with the square of flow rate.

4 views 14 edits