Sustainability & Compliance

Workplace Exposure 8-Hour TWA Calculator (Dust, Fume, Vapour)

Turn measured dust, fume or vapour concentrations into an 8-hour TWA, as exposure limits are set, or combine several substances into one mixture index.

  • Answers as you type
  • Every formula cited
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SettingsSettings for this calculationUS
Market
Imperial · sales tax
A single substance's daily average, or several substances combined.

The 8-hour TWA is how every long-term limit is expressed. The mixture index is for substances that act on the same organ in the same way — several solvents, for instance — where each can be under its own limit while together they are not.

The unit the sampling results and the limit are both in.

Concentrations are the same in every market, but the result and the limit must share one unit; this sets the label, not a conversion.

The average concentration in the breathing zone over this period, in the unit chosen above.

From personal sampling in the breathing zone over the period — a task, or a sampling run — analysed by a recognised method. Periods not sampled but known to be unexposed can be left out: the 8-hour average counts them as zero.

How long the concentration applied — minutes divided by 60.

The duration of the sampling period or task the concentration describes. A row with no time against it is ignored.

The average concentration in the breathing zone over this period, in the unit chosen above.

From personal sampling in the breathing zone over the period — a task, or a sampling run — analysed by a recognised method. Periods not sampled but known to be unexposed can be left out: the 8-hour average counts them as zero.

How long the concentration applied — minutes divided by 60.

The duration of the sampling period or task the concentration describes. A row with no time against it is ignored.

The average concentration in the breathing zone over this period, in the unit chosen above.

From personal sampling in the breathing zone over the period — a task, or a sampling run — analysed by a recognised method. Periods not sampled but known to be unexposed can be left out: the 8-hour average counts them as zero.

How long the concentration applied — minutes divided by 60.

The duration of the sampling period or task the concentration describes. A row with no time against it is ignored.

The average concentration in the breathing zone over this period, in the unit chosen above.

From personal sampling in the breathing zone over the period — a task, or a sampling run — analysed by a recognised method. Periods not sampled but known to be unexposed can be left out: the 8-hour average counts them as zero.

How long the concentration applied — minutes divided by 60.

The duration of the sampling period or task the concentration describes. A row with no time against it is ignored.

The substance's 8-hour limit in the same unit — 0 shows the TWA without a comparison.

The workplace exposure limit from EH40 in Great Britain, or the OSHA permissible exposure limit in the US. They differ: respirable crystalline silica is 0.1 mg/m³ in EH40 and 0.05 mg/m³ under OSHA's construction silica standard. Use the one that applies where the work is done, and the current edition.

Exposure result

0.09375 mg/m³

High confidence

The periods entered average to 0.0938 mg/m³ over the 8-hour reference period, counting the rest of the day as unexposed.

Hours with an exposure entered
5 hours
Period 1's share of the day's dose
80 %
Period 2's share of the day's dose
20 %
Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • HSE EH40/2005 (Workplace exposure limits): the 8-hour TWA = (C1T1 + C2T2 + … + CnTn) ÷ 8, where C is the concentration over each period of T hours and time not exposed counts as zero
  • 29 CFR 1910.1000(d)(1)(i): E = (CaTa + CbTb + … + CnTn) ÷ 8 for the 8-hour time-weighted average; 29 CFR 1910.1000(d)(2)(i): for a mixture, Em = C1/L1 + C2/L2 + … + Cn/Ln, which is not to exceed unity
  • EH40/2005 and 29 CFR 1926.1153: respirable crystalline silica has a GB workplace exposure limit of 0.1 mg/m³ and a US construction permissible exposure limit of 50 µg/m³ (0.05 mg/m³), each as an 8-hour TWA

Inputs used

What to Work Out
One substance over the day — the 8-hour TWA
Concentration Unit
mg/m³ — dusts, fumes and most limits
Period 1 Concentration
0.3
Period 1 Duration (hours)
2
Period 2 Concentration
0.05
Period 2 Duration (hours)
3
Period 3 Concentration
0
Period 3 Duration (hours)
0
Period 4 Concentration
0
Period 4 Duration (hours)
0
8-Hour Limit to Compare Against (0 for none)
0
Substance 1 8-Hour TWA
50
Substance 1 8-Hour Limit
100
Substance 2 8-Hour TWA
20
Substance 2 8-Hour Limit
50
Substance 3 8-Hour TWA
0
Substance 3 8-Hour Limit
0
Substance 4 8-Hour TWA
0
Substance 4 8-Hour Limit
0

Intermediate steps

Hours with an exposure entered
5 hours
Period 1's share of the day's dose
80 %
Period 2's share of the day's dose
20 %
Final result0.09 mg/m³

Confidence note: The periods entered average to 0.0938 mg/m³ over the 8-hour reference period, counting the rest of the day as unexposed.

What this calculation does not cover

  • It averages results you already have; the sampling behind them has to follow a recognised method, in the breathing zone, over periods that represent the work.
  • Respiratory protection is not deducted. Limits apply to the air the worker would breathe without it, and what a respirator achieves in practice depends on fit testing and wear.
  • Short-term limits — 15-minute STELs and ceiling values — are separate tests on the peaks and are not assessed here; a day comfortably under its 8-hour limit can still breach a short-term one.
  • The mixture index applies only to substances with the same kind of effect on the same organ. Substances acting independently are each judged against their own limit, and a mixture index across them means nothing.

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. HSE EH40/2005 (Workplace exposure limits): the 8-hour TWA = (C1T1 + C2T2 + … + CnTn) ÷ 8, where C is the concentration over each period of T hours and time not exposed counts as zero
  2. 29 CFR 1910.1000(d)(1)(i): E = (CaTa + CbTb + … + CnTn) ÷ 8 for the 8-hour time-weighted average; 29 CFR 1910.1000(d)(2)(i): for a mixture, Em = C1/L1 + C2/L2 + … + Cn/Ln, which is not to exceed unity
  3. EH40/2005 and 29 CFR 1926.1153: respirable crystalline silica has a GB workplace exposure limit of 0.1 mg/m³ and a US construction permissible exposure limit of 50 µg/m³ (0.05 mg/m³), each as an 8-hour TWA
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How to calculate workplace exposure 8-Hour TWA (dust, fume, vapour) in 20 steps

  1. What to Work OutA single substance's daily average, or several substances combined.
  2. Concentration UnitThe unit the sampling results and the limit are both in.
  3. Period 1 ConcentrationThe average concentration in the breathing zone over this period, in the unit chosen above.
  4. Period 1 Duration (hours)How long the concentration applied — minutes divided by 60.
  5. Period 2 ConcentrationThe average concentration in the breathing zone over this period, in the unit chosen above.
  6. Period 2 Duration (hours)How long the concentration applied — minutes divided by 60.
  7. Period 3 ConcentrationThe average concentration in the breathing zone over this period, in the unit chosen above.
  8. Period 3 Duration (hours)How long the concentration applied — minutes divided by 60.
  9. Period 4 ConcentrationThe average concentration in the breathing zone over this period, in the unit chosen above.
  10. Period 4 Duration (hours)How long the concentration applied — minutes divided by 60.
  11. 8-Hour Limit to Compare Against (0 for none)The substance's 8-hour limit in the same unit — 0 shows the TWA without a comparison.
  12. Substance 1 8-Hour TWAThis substance's own 8-hour TWA, in the same unit as its limit.
  13. Substance 1 8-Hour LimitThe substance's 8-hour exposure limit — 0 leaves the row out.
  14. Substance 2 8-Hour TWAThis substance's own 8-hour TWA, in the same unit as its limit.
  15. Substance 2 8-Hour LimitThe substance's 8-hour exposure limit — 0 leaves the row out.
  16. Substance 3 8-Hour TWAThis substance's own 8-hour TWA, in the same unit as its limit.
  17. Substance 3 8-Hour LimitThe substance's 8-hour exposure limit — 0 leaves the row out.
  18. Substance 4 8-Hour TWAThis substance's own 8-hour TWA, in the same unit as its limit.
  19. Substance 4 8-Hour LimitThe substance's 8-hour exposure limit — 0 leaves the row out.
  20. Exposure resultThe tool computes the exposure result from those figures and shows the formula, its sources, and a confidence rating alongside it.

Exposure result by period 1 concentration

Page defaults, not your figures above.

Period 1 ConcentrationExposure result (mg/m³)
0.050.031
0.10.044
0.20.069
0.50.144
10.269
20.519

Frequently asked questions

Why is time I was not exposed counted as zero?
Because the 8-hour TWA is defined as the day's total dose spread over a standard 8-hour day, whatever the actual shift. Two hours of cutting at 0.3 mg/m³ is a dose of 0.6 mg/m³ × hours; spread over 8 hours it is 0.075 mg/m³, whether or not the other six hours were spent on site. The same rule means the limit is not a ceiling on any moment of the day — short-term peaks have their own limits.
What if the shift is longer than 8 hours?
The formula still divides the day's total by 8, in both EH40 and OSHA's rule, so a 10-hour shift at a steady concentration comes out at 1.25 times that concentration. That is deliberate: a longer day is a bigger dose, and it should read as one.
How are several substances combined?
Only when they have the same kind of effect on the same organ — several organic solvents acting on the nervous system, for example. Each substance's TWA is divided by its own limit, and the fractions are added; OSHA's rule treats a sum above 1 as over the combined limit, and EH40 describes the same approach for additive substances. Substances with unrelated effects are each judged against their own limit and are not summed.
What limit should I compare respirable crystalline silica against?
In Great Britain, EH40's workplace exposure limit of 0.1 mg/m³ as an 8-hour TWA. In the US, OSHA's construction silica standard, 29 CFR 1926.1153, sets a permissible exposure limit of 50 µg/m³ — 0.05 mg/m³ — with an action level of half that. The same cutting job can therefore be under the GB limit and over the US one, which is why the limit on this page is yours to enter.
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.