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V-Belt Length & Center Distance CalculatorV-BELT CENTER DISTANCE
For ISO 4184 / CNS 4218 classical V-belts A–E: enter both sheave pitch diameters and the desired centre distance to get the nearest standard belt, its pitch length, the actual centre distance, error, ratio, wrap angle and belt speed.
- StandardISO 4184 / CNS 4218
- SectionsA · B · C · D · E
- Checkswrap ≥ 120° · v ≤ 30 m/s
RESULT
Live
Recommended beltNo.
A45
✓ Small sheave wrap 168.4° — at least 120°, good transmission.
Details
- Pitch length LpLp
- 1176.0mm
- Inside length LiLi
- 1143.0mm
- Required pitch length (theoretical)L*
- 1181.0mm
- Actual centre distanceC
- 397.49mm
- Centre distance errorΔC
- -2.51mm
- Speed ratio dp2 / dp1i
- 2.000
- Small sheave wrap angleθ1
- 168.4°
- Belt speedv
- 6.07m/s
- Driven speedn2
- 725.0rpm
HOW-TO
How to use the V-Belt Length & Center Distance Calculator
- 1Choose the belt section (A–E).
- 2Enter the driver and driven pitch diameters dp1 and dp2.
- 3Enter the desired centre distance and, optionally, the motor speed.
- 4Read the recommended belt (e.g. A45), actual centre distance and error, and check the wrap-angle and speed verdicts.
Worked example (default inputs)
| Item | Value |
|---|---|
| Belt section | A |
| Driver pitch diameter dp1 | 80 mm |
| Driven pitch diameter dp2 | 160 mm |
| Desired centre distance C | 400 mm |
| Driver speed (optional) | 1450 rpm |
| Recommended belt(No.) | A45 |
| Pitch length Lp(Lp) | 1176.0 mm |
| Inside length Li(Li) | 1143.0 mm |
| Required pitch length (theoretical)(L*) | 1181.0 mm |
| Actual centre distance(C) | 397.49 mm |
| Centre distance error(ΔC) | -2.51 mm |
| Speed ratio dp2 / dp1(i) | 2.000 |
| Small sheave wrap angle(θ1) | 168.4 ° |
| Belt speed(v) | 6.07 m/s |
| Driven speed(n2) | 725.0 rpm |
Choosing a standard belt from a centre distance
V-belts are endless and cannot be cut to length. Start from the desired centre distance C and both pitch diameters, compute the required pitch length with the exact open-belt formula, pick the nearest standard belt (e.g. A45) and solve the actual centre distance back from its pitch length. The difference ΔC must be absorbed by motor slots or a tensioner — typically allow +3% for take-up and −1.5% for installation.
Section, wrap angle and belt speed
Sections A to E grow in size, from a top width of about 12.5 mm (A) to 38 mm (E), and in power capacity. The small sheave should have at least 120° of wrap and belt speed should stay below 30 m/s; large diameter differences at short centres reduce the wrap. The tool also checks minimum pitch diameters (A71, B112, C180, D315, E500 mm). Custom sheaves or guards can be generated here and made by Orinovate.
Formulas
L = 2√(C² − e²) + π(dp1 + dp2)/2 + 2e·asin(e/C), e = (dp2 − dp1)/2 Li = belt number × 25.4 mm Lp = Li + 33 (A) / 46 (B) / 74 (C) / 84 (D) / 114 (E) C_actual solved numerically from L(C) = Lp, ΔC = C_actual − C θ1 = 180° − 2·asin(e/C) v = π · dp1 · n1 / 60000 (m/s)
Results are for design reference only; confirm against supplier catalogues and the applicable standards before manufacturing.
FAQ
What does a belt number like A45 mean?
Following JIS K 6323 / CNS 4218 practice, the number is the inside length in inches: A45 has Li = 45 × 25.4 = 1143 mm and, for section A, pitch length Lp = Li + 33 = 1176 mm.
How are inside length and pitch length related?
This tool uses Lp = Li + 33 (A), +46 (B), +74 (C), +84 (D) and +114 (E) mm. Manufacturers define effective and outside lengths slightly differently, so confirm with the catalogue before ordering.
What wrap angle is acceptable?
Keep the small-sheave wrap at 120° or more. Each 10° less reduces capacity by roughly 3–5%; below 120° the belt tends to slip — increase the centre distance or add an idler.
What is the minimum sheave diameter?
Recommended minimum pitch diameters: A 71 mm, B 112 mm, C 180 mm, D 315 mm, E 500 mm. Smaller sheaves raise bending stress and shorten belt life.
Is there a belt speed limit?
Classical V-belts work best at 10–25 m/s, with about 30 m/s as the upper limit; above that centrifugal force lifts the belt out of the groove.
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Standards
- ISO 4184
- CNS 4218
- JIS K 6323