Sustainability & Compliance

Hand-Arm Vibration Exposure (A(8)) and Points Calculator

Daily hand-arm vibration A(8) and HSE points from each tool's magnitude and trigger time, with each tool's time to the action and limit values.

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The tool's vibration total value, ahv, in use — 0 leaves the row out.

The three-axis vibration total value in metres per second squared, as the tool is actually used. A measurement of the tool on the job is best; the figure declared in the handbook under the test standard for that tool type often understates real use, and CEN/TR 15350 describes how to turn a declared value into an in-use estimate.

The time the tool is actually vibrating in the hands in the day — minutes divided by 60.

Trigger time, not time holding the tool or time on the task. It is usually much shorter than it feels: a person 'breaking out all morning' may have the breaker running for well under an hour. Timing a representative spell of work gives the best figure.

The tool's vibration total value, ahv, in use — 0 leaves the row out.

The three-axis vibration total value in metres per second squared, as the tool is actually used. A measurement of the tool on the job is best; the figure declared in the handbook under the test standard for that tool type often understates real use, and CEN/TR 15350 describes how to turn a declared value into an in-use estimate.

The time the tool is actually vibrating in the hands in the day — minutes divided by 60.

Trigger time, not time holding the tool or time on the task. It is usually much shorter than it feels: a person 'breaking out all morning' may have the breaker running for well under an hour. Timing a representative spell of work gives the best figure.

The tool's vibration total value, ahv, in use — 0 leaves the row out.

The three-axis vibration total value in metres per second squared, as the tool is actually used. A measurement of the tool on the job is best; the figure declared in the handbook under the test standard for that tool type often understates real use, and CEN/TR 15350 describes how to turn a declared value into an in-use estimate.

The time the tool is actually vibrating in the hands in the day — minutes divided by 60.

Trigger time, not time holding the tool or time on the task. It is usually much shorter than it feels: a person 'breaking out all morning' may have the breaker running for well under an hour. Timing a representative spell of work gives the best figure.

The tool's vibration total value, ahv, in use — 0 leaves the row out.

The three-axis vibration total value in metres per second squared, as the tool is actually used. A measurement of the tool on the job is best; the figure declared in the handbook under the test standard for that tool type often understates real use, and CEN/TR 15350 describes how to turn a declared value into an in-use estimate.

The time the tool is actually vibrating in the hands in the day — minutes divided by 60.

Trigger time, not time holding the tool or time on the task. It is usually much shorter than it feels: a person 'breaking out all morning' may have the breaker running for well under an hour. Timing a representative spell of work gives the best figure.

Daily hand-arm vibration exposure, A(8)

2.25 m/s²

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

2.25 m/s² A(8) is below the exposure action value of 2.5 m/s² A(8) (100 points). These are the UK and EU regulations' values, and ANSI S2.70 uses the same two in the US. The exposure is 81 points in all. 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.

Exposure points (100 is the action value, 400 the limit value)
81 points
Tool 1: partial exposure
1.75 m/s²
Tool 2: partial exposure
1.41 m/s²
Tool 1: trigger time to reach the action value on its own
1.02 hours
Tool 2: trigger time to reach the action value on its own
3.13 hours
Tool 1: trigger time to reach the limit value on its own
4.08 hours
Tool 2: trigger time to reach the limit value on its own
12.5 hours
Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • BS EN ISO 5349-1:2001: the daily exposure A(8) = ahv × √(T ÷ T0), with T0 = 8 hours, and for several tools A(8) = √(A1(8)² + A2(8)² + … + An(8)²)
  • Control of Vibration at Work Regulations 2005, regulation 4, and Directive 2002/44/EC, Article 3: for hand-arm vibration, a daily exposure action value of 2.5 m/s² A(8) and an exposure limit value of 5 m/s² A(8)
  • HSE L140 (Hand-arm vibration at work): exposure points = 2 × ahv² × T, with T in hours, so 100 points is the exposure action value and 400 points the exposure limit value
  • ANSI S2.70-2006 (US): the same daily exposure action value of 2.5 m/s² and limit value of 5.0 m/s², on the ISO 5349-1 A(8) basis

Inputs used

Tool 1 Vibration Magnitude (m/s²)
7
Tool 1 Trigger Time (hours)
0.5
Tool 2 Vibration Magnitude (m/s²)
4
Tool 2 Trigger Time (hours)
1
Tool 3 Vibration Magnitude (m/s²)
0
Tool 3 Trigger Time (hours)
0
Tool 4 Vibration Magnitude (m/s²)
0
Tool 4 Trigger Time (hours)
0

Intermediate steps

Exposure points (100 is the action value, 400 the limit value)
81 points
Tool 1: partial exposure
1.75 m/s²
Tool 2: partial exposure
1.41 m/s²
Tool 1: trigger time to reach the action value on its own
1.02 hours
Tool 2: trigger time to reach the action value on its own
3.13 hours
Tool 1: trigger time to reach the limit value on its own
4.08 hours
Tool 2: trigger time to reach the limit value on its own
12.5 hours
Final result2.25 m/s²

Confidence note: 2.25 m/s² A(8) is below the exposure action value of 2.5 m/s² A(8) (100 points). These are the UK and EU regulations' values, and ANSI S2.70 uses the same two in the US. The exposure is 81 points in all. 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 magnitude must be the tool's three-axis vibration total value in use. A handbook's declared value is measured under a standard test, not on your job, and often understates real use.
  • Trigger time is the time the tool is vibrating in the hands, not the time spent on the task, and overestimating it is as common as underestimating the magnitude.
  • The A(8) describes the dose; the harm — vibration white finger and carpal tunnel syndrome — also depends on grip force, cold and wet hands and the individual, which is why the regulations require health surveillance for those at risk, not only a number.
  • It covers hand-arm vibration only. Driving or riding vibrating plant is whole-body vibration, a separate exposure with different values.

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 citations4
  1. BS EN ISO 5349-1:2001: the daily exposure A(8) = ahv × √(T ÷ T0), with T0 = 8 hours, and for several tools A(8) = √(A1(8)² + A2(8)² + … + An(8)²)
  2. Control of Vibration at Work Regulations 2005, regulation 4, and Directive 2002/44/EC, Article 3: for hand-arm vibration, a daily exposure action value of 2.5 m/s² A(8) and an exposure limit value of 5 m/s² A(8)
  3. HSE L140 (Hand-arm vibration at work): exposure points = 2 × ahv² × T, with T in hours, so 100 points is the exposure action value and 400 points the exposure limit value
  4. ANSI S2.70-2006 (US): the same daily exposure action value of 2.5 m/s² and limit value of 5.0 m/s², on the ISO 5349-1 A(8) basis

Which documents these citations point at

Standards referenced: ISO 5349-1 (International Organization for Standardization, International).

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How to calculate hand-arm vibration exposure (A(8)) and points in 9 steps

  1. Tool 1 Vibration Magnitude (m/s²)The tool's vibration total value, ahv, in use — 0 leaves the row out.
  2. Tool 1 Trigger Time (hours)The time the tool is actually vibrating in the hands in the day — minutes divided by 60.
  3. Tool 2 Vibration Magnitude (m/s²)The tool's vibration total value, ahv, in use — 0 leaves the row out.
  4. Tool 2 Trigger Time (hours)The time the tool is actually vibrating in the hands in the day — minutes divided by 60.
  5. Tool 3 Vibration Magnitude (m/s²)The tool's vibration total value, ahv, in use — 0 leaves the row out.
  6. Tool 3 Trigger Time (hours)The time the tool is actually vibrating in the hands in the day — minutes divided by 60.
  7. Tool 4 Vibration Magnitude (m/s²)The tool's vibration total value, ahv, in use — 0 leaves the row out.
  8. Tool 4 Trigger Time (hours)The time the tool is actually vibrating in the hands in the day — minutes divided by 60.
  9. Daily hand-arm vibration exposure, A(8)The tool computes the daily hand-arm vibration exposure, A(8) from those figures and shows the formula, its sources, and a confidence rating alongside it.

Daily hand-arm vibration exposure, A(8) by tool 1 vibration magnitude (m/s²)

Page defaults, not your figures above.

Tool 1 Vibration Magnitude (m/s²)Daily hand-arm vibration exposure, A(8) (m/s²)
11.44
21.5
51.89
102.87
205.2
5012.6

Frequently asked questions

What is trigger time, and why does it matter so much?
The time the tool is actually running and vibrating in the hands. Exposure grows with the square root of time, so the figure is less sensitive to time than to magnitude — but trigger time is routinely overestimated by a factor of several, because a job described as 'grinding all morning' involves long spells of setting up, moving and measuring. Timing a representative piece of work gives a far better figure than an estimate of the task's length.
Why does doubling the vibration magnitude matter more than doubling the time?
Because the dose depends on the magnitude squared and on the time only once. A tool vibrating twice as hard reaches the same exposure in a quarter of the time: the 2.5 m/s² action value takes 8 hours at 2.5 m/s², 2 hours at 5 m/s² and 30 minutes at 10 m/s². That is why a lower-vibration tool usually does more for exposure than a rota.
What do the exposure points mean?
HSE's points add up a day's exposure without square roots: 100 of them is the exposure action value, 2.5 m/s² A(8), and 400 the exposure limit value, 5 m/s² A(8). Each tool scores two times its magnitude squared times its hours, and the points simply add. They are the same arithmetic as the A(8), expressed so that a supervisor can total a day on a card.
Is there a legal limit in the United States?
There is no federal OSHA standard for hand-arm vibration. The US consensus standard, ANSI S2.70-2006, adopts the same daily exposure action value of 2.5 m/s² and limit value of 5.0 m/s² on the same A(8) basis, and OSHA can cite a recognised hazard under the general duty clause. The arithmetic on this page is therefore the same on either side of the Atlantic.
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.