Sustainability & Compliance

Whole-Body Vibration Exposure (A(8) and VDV) Calculator

A plant operator's daily whole-body vibration A(8) from seat measurements on three axes, and a measured vibration dose value scaled to the whole day.

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The frequency-weighted r.m.s. acceleration on this axis, measured at the seat.

From a seat-pad accelerometer on the machine doing its normal work, frequency-weighted to ISO 2631-1. The horizontal axes are multiplied by 1.4 before comparison, as the standard and the Directive require, so a modest fore-and-aft figure can still be the one that decides the day.

The frequency-weighted r.m.s. acceleration on this axis, measured at the seat.

From a seat-pad accelerometer on the machine doing its normal work, frequency-weighted to ISO 2631-1. The horizontal axes are multiplied by 1.4 before comparison, as the standard and the Directive require, so a modest fore-and-aft figure can still be the one that decides the day.

The frequency-weighted r.m.s. acceleration on this axis, measured at the seat.

From a seat-pad accelerometer on the machine doing its normal work, frequency-weighted to ISO 2631-1. The horizontal axes are multiplied by 1.4 before comparison, as the standard and the Directive require, so a modest fore-and-aft figure can still be the one that decides the day.

Hours spent on the machine while it is moving or working in the day.

The time the operator is seated on the machine while it is travelling or working — not the shift length, and not time parked with the engine idling on smooth ground.

Whether a vibration dose value is available to scale to the whole day.

The VDV weights shocks and jolts more heavily than the r.m.s. value does, and some measurement reports give it. It scales to a full day by the fourth root of time rather than the square root.

Daily whole-body vibration exposure, A(8)

0.476 m/s²

ComparisonA comparison, not a check — no result here is an approval.

0.48 m/s² A(8), on the vertical (z) axis, is below the exposure action value of 0.5 m/s² A(8). The regulations require the risk from vibration to be eliminated or reduced as far as reasonably practicable at every level, so no figure here is a finding that the exposure is acceptable.

A(8) on the fore-and-aft (x) axis, ×1.4
0.36 m/s²
A(8) on the side-to-side (y) axis, ×1.4
0.3 m/s²
A(8) on the vertical (z) axis
0.48 m/s²
Exposure time to reach the action value on the dominant axis
6.61 hours
Exposure time to reach the limit value on the dominant axis
34.98 hours
Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • ISO 2631-1:1997 and Directive 2002/44/EC, Annex B: the daily exposure A(8) is the highest of 1.4 awx, 1.4 awy and awz, each scaled by √(T ÷ 8 hours), where aw is the frequency-weighted r.m.s. acceleration on each axis measured at the seat
  • Control of Vibration at Work Regulations 2005, regulation 4: for whole-body vibration, a daily exposure action value of 0.5 m/s² A(8) and an exposure limit value of 1.15 m/s² A(8)
  • Directive 2002/44/EC, Article 3(2): a Member State may instead express the whole-body values as vibration dose values — 9.1 m/s^1.75 for the action value and 21 m/s^1.75 for the limit value — and ISO 2631-1 scales a dose measured over part of a day to the whole day by the fourth root of the ratio of the times

Inputs used

Seat Vibration, Fore-and-Aft (x) Axis (m/s²)
0.3
Seat Vibration, Side-to-Side (y) Axis (m/s²)
0.25
Seat Vibration, Vertical (z) Axis (m/s²)
0.55
Daily Exposure Time (hours)
6
Also Scale a Measured Vibration Dose Value
No
Measured VDV, Dominant Axis (m/s^1.75)
6
VDV Measurement Duration (minutes)
30

Intermediate steps

A(8) on the fore-and-aft (x) axis, ×1.4
0.36 m/s²
A(8) on the side-to-side (y) axis, ×1.4
0.3 m/s²
A(8) on the vertical (z) axis
0.48 m/s²
Exposure time to reach the action value on the dominant axis
6.61 hours
Exposure time to reach the limit value on the dominant axis
34.98 hours
Final result0.48 m/s²

Confidence note: 0.48 m/s² A(8), on the vertical (z) axis, is below the exposure action value of 0.5 m/s² A(8). The regulations require the risk from vibration to be eliminated or reduced as far as reasonably practicable at every level, so no figure here is a finding that the exposure is acceptable.

What this calculation does not cover

  • The accelerations must be frequency-weighted to ISO 2631-1 and measured at the seat on the machine doing its normal work; a figure from another machine, or the same machine on different ground, can differ by a factor of two.
  • The r.m.s. A(8) under-represents shocks and jolts. Where the ride is jarring, the vibration dose value describes the exposure better, and the report should say which it used.
  • Back pain in plant operators also comes from posture, long periods of sitting, climbing on and off and manual handling, none of which a vibration figure measures.
  • The UK regulations use A(8) only; the VDV values are the Directive's alternative, which a Member State may choose instead.

Computed in your browser — nothing you enter is uploaded. Presented in US customary units and US trade terminology. Where a formula follows a published standard, that standard and its edition are cited beside it on this page; where none governs, the page says so. Local amendments override model codes — verify against the code in force where you build.

Sources checked 2026-09-21 · v1.0.0

Regulatory standards & verification citations3
  1. ISO 2631-1:1997 and Directive 2002/44/EC, Annex B: the daily exposure A(8) is the highest of 1.4 awx, 1.4 awy and awz, each scaled by √(T ÷ 8 hours), where aw is the frequency-weighted r.m.s. acceleration on each axis measured at the seat
  2. Control of Vibration at Work Regulations 2005, regulation 4: for whole-body vibration, a daily exposure action value of 0.5 m/s² A(8) and an exposure limit value of 1.15 m/s² A(8)
  3. Directive 2002/44/EC, Article 3(2): a Member State may instead express the whole-body values as vibration dose values — 9.1 m/s^1.75 for the action value and 21 m/s^1.75 for the limit value — and ISO 2631-1 scales a dose measured over part of a day to the whole day by the fourth root of the ratio of the times

Which documents these citations point at

Standards referenced: ISO 2631-1 (International Organization for Standardization, International).

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How to calculate whole-body vibration exposure (A(8) and VDV) in 8 steps

  1. Seat Vibration, Fore-and-Aft (x) Axis (m/s²)The frequency-weighted r.m.s. acceleration on this axis, measured at the seat.
  2. Seat Vibration, Side-to-Side (y) Axis (m/s²)The frequency-weighted r.m.s. acceleration on this axis, measured at the seat.
  3. Seat Vibration, Vertical (z) Axis (m/s²)The frequency-weighted r.m.s. acceleration on this axis, measured at the seat.
  4. Daily Exposure Time (hours)Hours spent on the machine while it is moving or working in the day.
  5. Also Scale a Measured Vibration Dose ValueWhether a vibration dose value is available to scale to the whole day.
  6. Measured VDV, Dominant Axis (m/s^1.75)The vibration dose value from the measurement report.
  7. VDV Measurement Duration (minutes)How long the VDV measurement ran.
  8. Daily whole-body vibration exposure, A(8)The tool computes the daily whole-body vibration exposure, A(8) from those figures and shows the formula, its sources, and a confidence rating alongside it.

Daily whole-body vibration exposure, A(8) by seat vibration, fore-and-aft (x) Axis (m/s²)

Page defaults, not your figures above.

Seat Vibration, Fore-and-Aft (x) Axis (m/s²)Daily whole-body vibration exposure, A(8) (m/s²)
0.050.476
0.10.476
0.20.476
0.50.606
11.21
22.42

Frequently asked questions

Why are the horizontal readings multiplied by 1.4?
Because a seated body is more sensitive to fore-and-aft and side-to-side shaking than the r.m.s. numbers alone suggest, and ISO 2631-1 and the Directive both apply a factor of 1.4 to the two horizontal axes before comparing them with the vertical one. The daily exposure is then whichever of the three is highest. On a machine pitching over rough ground, the fore-and-aft axis often decides the day.
Which machines are most likely to reach the action value?
Those driven over rough or uneven ground, and at speed: site dumpers and tractors on haul roads, and plant crossing broken ground. The same machine can be well below the action value on a level, maintained haul road and above it on rutted ground, which is why ground maintenance, speed and seat condition usually do more than the choice of machine.
What is the vibration dose value, and when is it used?
A measure that raises the acceleration to the fourth power rather than squaring it, so shocks and jolts count for much more than steady shaking. It scales to a full day by the fourth root of time. The EU Directive lets a Member State set its whole-body values as dose values instead — 9.1 for action and 21 for the limit — and some measurement reports give both; the UK regulations use A(8).
Is there a limit in the United States?
There is no federal OSHA standard for whole-body vibration. ISO 2631-1, adopted in the US as ANSI S3.18, gives health guidance rather than a limit, and many US employers and equipment specifiers use the European action and limit values as reference points. The A(8) arithmetic here is the same wherever it is used.
Preliminary estimate, not certified engineering. This tool produces an indicative quantity calculation for planning purposes only — it is not a certified structural analysis, a guaranteed material takeoff, or a substitute for building department approval. Always verify measurements on-site and have a licensed contractor or structural engineer review any load-bearing, code-sensitive, or safety-critical work before purchasing materials or starting construction. Spotted an arithmetic or standards error? Report it to contact@craftquantities.com with your inputs — a confirmed fix gets a permanent check of its own, so the same mistake cannot come back.