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V-Belt Tension Frequency Calculator

V-belt tension from span natural frequency (T = 4·m·L²·f²) — strum the span, enter the frequency, get newtons vs target.

449 N
Measured tension
100%
vs target
20 Hz
Frequency for target

T = 4·m·L²·f² = 4 × 0.195 × 1.2² × 20² = 449 N (vibrating-string relation used by sonic tension meters). Re-tension new belts after a 30-minute run-in; under-tension slips and over-tension kills bearings.

Field notes from maintenance practice

Classic wedge belts (SPZ/SPA/SPB/SPC) carry their mass-per-metre in every catalogue — SPB ≈ 0.195 kg/m is the default here. Multi-belt drives need every belt at the same frequency: a matched set strummed belt by belt should sing the same note within ~5%, and one dull belt in the chorus is the slipping belt that glazes first.

Mass per metre comes from the belt datasheet (or weigh a known length); span is the straight free length between pulley tangent points. Measure with the drive stopped and locked out, damping other spans with a hand so only the measured span rings.

Sources & references

  • Gates / Optibelt / ContiTech drive design manuals — tensioning by the frequency method
  • Machinery's Handbook — belt drives, vibrating string relation
  • Optibelt / Gates technical manuals — V-belt tension values and frequency method

Use the drive design's target tension — generic defaults here only illustrate the method.

V-Belt Tension Frequency Calculator for maintenance and reliability teams: V-belt tension from span natural frequency (T = 4·m·L²·f²) — strum the span, enter the frequency, get newtons vs target. Free, private (everything runs in your browser) and ready for daily plant use.

About V-Belt Tension Frequency Calculator

The frequency method is the accurate way to tension a v-belt: pluck the free span like a guitar string, measure its natural frequency (phone apps and sonic tension meters both work), and the vibrating-string relation T = 4·m·L²·f² converts it to tension. This calculator does the conversion both ways — measured frequency → tension, and target tension → the frequency to tune to.

How to use V-Belt Tension Frequency Calculator

  1. 1Enter the belt's mass per metre (datasheet) and the free span length.
  2. 2Strum the span and enter the measured natural frequency (a phone spectrum app works).
  3. 3Read the actual tension vs your target — and the exact frequency to tune to.

Why use V-Belt Tension Frequency Calculator?

  • V-belt tension from span natural frequency (T = 4·m·L²·f²) — strum the span, enter the frequency, get newtons vs target — computed instantly with the standard formula
  • 100% free and unlimited, with no sign-up, login or paywall
  • Runs entirely in your browser — readings and asset data never leave your device
  • Niche-specific defaults and thresholds for V-belt, traceable to the cited standards

Frequently asked questions

What tension should a v-belt run at?+

Typical SPB/5V industrial drives run static tensions of 300–600 N per belt; The right number is drive-specific — it comes from the drive design (power, speeds, sheave diameters, service factor), so use the installation's design sheet or the belt maker's drive calculator, then tune to that figure with this tool.

One belt in my 4-belt drive always runs slack — bad belt or bad drive?+

Usually bad geometry or mixed belts: unmatched belt lengths (replace in matched sets, never singles), worn sheave grooves letting one belt ride deeper (check with a groove gauge — a shiny groove bottom means the belt bottomed out), or sheave misalignment loading one side. Frequency-check each belt: more than ~10% spread across a set after run-in means the drive, not the belts. Replacing singles into worn grooves restarts the same failure.

Why does new belt tension drop after a day of running?+

Seating and initial stretch: the cords settle into the cushion rubber and the sheave grooves polish in, typically shedding 10–20% of installation tension in the first 24–48 hours. That is why every belt maker says re-tension after run-in (30 minutes to a few hours of loaded running). Tension new belts to the 'installation' value — usually 1.3× the running value — then re-check.

Frequency method or deflection method — which is better?+

Frequency is more repeatable: the deflection (force/16mm-per-metre) method depends on operator feel and a small force gauge reading, while a frequency measurement is operator-independent and works on short spans where deflection is impractical. Deflection remains fine for field checks without instruments — but if you're standardising fleet maintenance, standardise on frequency.

Embed V-Belt Tension Frequency Calculator on your website

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