Bending Moment
Mechanical
Bending Moment is a core engineering term. Definition, usage notes, and a practical example.
Calculator tabs
Documentation coming soon
PulleyBelt
Pulley Belt Length and Wrap Angle
For an open-belt configuration, calculates belt length and small pulley wrap angle from two pulley diameters and center distance. Formula is a straight-line estimate; tensioning, poly-V profile, and manufacturer tolerances should also be considered.
Inputs
Condition: C > (D1 + D2)/2; otherwise belt geometry is not feasible. Add tension allowance to the final length (typically 0.5-1%).
Results
Belt length1115.2 mm
Small pulley wrap angle185.7°
Formula: L = 2C + π/2(D1+D2) + (D2-D1)²/(4C). Small pulley wrap angle: β = π - 2·arcsin((D2-D1)/(2C)). Closed-belt or crossed setups require different formulas.
Standard Documentation
Pulley Belt LengthScope: What does this tool calculate?
Pulley Belt Length performs the core engineering calculation for this tool type and presents results in a traceable format.
Assumptions and Units
- SI units are the baseline; input unit consistency must be verified by the user.
- The calculation path is deterministic (same inputs = same outputs).
- If default material/environment values are used, replace them with project-specific values.
Limits / Boundaries
- This tool is intended for preliminary sizing and technical checks, not final design approval.
- When inputs are outside expected ranges, validate input quality before interpreting outputs.
Reference Standard
- ISO / DIN / VDI references and common engineering handbooks
Validation Example
Validation example
| Input | Expected Output |
|---|---|
| Input set: Unit-consistent project values | Expected output: Tool result is in the same order as standard references |
Note: In real projects, run at least one manual check or reference-table comparison.
Version and Update
- Version
- v0.1.0
- Last updated
- 2026-03-04
Premium beta
Premium plan
Premium is in private beta. Early access opens in small batches.
Glossary
Related terms
Terms that share the same concepts as this calculator.
Buckling
Mechanical
Buckling is a core engineering term. Definition, usage notes, and a practical example.
Coefficient of Friction
Mechanical
Coefficient of Friction is a core engineering term. Definition, usage notes, and a practical example.
Fatigue
Mechanical
Fatigue is a core engineering term. Definition, usage notes, and a practical example.
Similar calculators
Related calculators
Explore calculators with similar categories or tags.
Bolt Size & Torque
Free
Calculate stress area and preload from nominal diameter, pitch, and grade.
Spring Force Chart
Free
Generate an F-x chart from spring constant and displacement.
Tensile Stress
Free
Compute tensile stress from force and cross-section area.
Bending & Deflection
Free
Bending stress and max deflection for a simply supported beam.
Other picks
These might help too
Review alternative calculators for adjacent needs.
Unit Converter
Free
Fast unit conversions for length, force, pressure, and energy.
Engineering Sanity Check Lab
Beta
Validate variables, units, and formulas in one screen.
Basic Heat Flow
Free
Estimate heat flow through a single layer with manual inputs.
Bolt Data Center
Free
Quick access to metric and imperial bolt sizes.