Tools · Mechanical Engineering
Mechanical Engineering Calculators
Choose one calculator for transparent mechanical arithmetic, unit handling and dimensional checks.
Calculation logic runs locally without accounts, storage, telemetry or third-party services.
Educational reference only. Results do not approve a design, dimensional acceptance, material choice or compliance decision. Read the Technical Disclaimer and use the applicable drawing, specification, approved calculation and competent engineering review.
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Calculations retain JavaScript numerical precision internally and normally display eight significant figures. When exactly one compatible input is blank, it is calculated and filled automatically. Validation is provided in text and results are announced to assistive technology.
Engineering unit converter
Convert common mechanical quantities while keeping US and Imperial volume definitions explicit.
Conversion: value × input-unit factor ÷ output-unit factor. Temperature values use the applicable scale offset.
- Symbols and basis
- The input value is multiplied by its source-unit factor and divided by the target-unit factor.
Check the quantity type and unit basis before using a converted value.
Pressure, force and area
Solve one term in the pressure, normal-force and area relationship from the other two.
p = F/A; F = pA; A = F/p.
- Symbols and basis
- p = pressure; F = normal force; A = loaded area.
This relationship does not establish pressure ratings, boundaries or acceptance values.
Force, mass, acceleration and weight
Apply F = ma and keep the separate mass-to-weight relationship W = mg explicit.
F = ma. Weight is separately calculated as W = mg.
- Symbols and basis
- F = force; m = mass; a = acceleration; W = weight; g = gravitational acceleration.
A simplified scalar result does not represent a complete dynamic-load assessment.
Flow, area and velocity
Relate volumetric flow, average velocity and direct area or internal circular diameter.
Qv = Av; optional mass flow ṁ = ρQv.
- Symbols and basis
- Qᵥ = volumetric flow; A = cross-sectional area; v = average velocity; ṁ = mass flow; ρ = density.
This calculation does not size a flow path or predict pressure loss or performance.
Temperature conversion
Convert temperature readings or temperature differences using the correct treatment for each.
Value conversion uses scale offsets; difference conversion uses scale ratios only.
- Symbols and basis
- T = temperature value; ΔT = temperature difference.
Values below absolute zero are rejected; a temperature difference does not use a scale offset.
Linear thermal expansion
Estimate a simple one-dimensional length change from user-supplied material data.
ΔL = αL₀ΔT.
- Symbols and basis
- ΔL = length change; α = linear expansion coefficient; L₀ = original length; ΔT = temperature difference.
The coefficient and applicable temperature range must come from approved material data.
Torque, force and lever arm
Calculate the turning effect of a force from its magnitude, lever arm and included angle.
τ = Fr sin(θ). The angle is between force and lever arm; blank means perpendicular, θ = 90°.
- Symbols and basis
- τ = torque; F = force; r = lever arm; θ = angle between force and lever arm.
This does not select tightening torque, hardware or an allowable mechanical load.
Torque, power and rotational speed
Relate ideal torque, angular speed, rotational speed and power.
P = τω; ω = 2πn/60.
- Symbols and basis
- P = power; τ = torque; ω = angular speed; n = rotational speed.
The ideal relationship does not include losses or establish equipment performance.
Limits and fit
Calculate the possible clearance range from entered hole and shaft limits.
Minimum clearance = minimum hole − maximum shaft. Maximum clearance = maximum hole − minimum shaft.
- Symbols and basis
- Minimum clearance = minimum hole − maximum shaft; maximum clearance = maximum hole − minimum shaft.
The classification describes entered limits only; it does not select a fit or tolerance grade.
Worst-case tolerance stack
Combine added and subtracted dimensions using worst-case arithmetic.
Addition uses each contributor's minimum and maximum directly; subtraction reverses the subtracted contributor's extremes.
- Symbols and basis
- Each contributor uses nominal size with separate positive and negative tolerance magnitudes.
This is deterministic worst-case arithmetic, not a statistical acceptance estimate.
Alignment angle and offset
Calculate exact angle and small-angle expressions from offset and reference length.
Exact: θ = arctan(offset/reference length). Small-angle approximation: θ ≈ offset/reference length.
- Symbols and basis
- θ = angle; offset and reference length must use compatible length units.
The result does not establish machinery alignment tolerances or correction values.
Need the underlying definitions and worked examples? Read Mechanical Engineering Fundamentals.