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Formula desk

Name it before you punch keys.

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TRIR

(N × 200,000) / EH

Compare recordable rate across sites or years.

Trap: Using headcount or 100,000 hours instead of 200,000.

4 recordables, 250,000 hours → 3.2.

DART

(DART cases × 200,000) / EH

Severity-flavored rate when TRIR hides restricted duty.

Trap: Counting first aid as DART.

2 DART cases, 250,000 hours → 1.6.

TWA

Σ(Ci × Ti) / 8

Combine partial-shift samples into an 8-hour TWA.

Trap: Dividing by elapsed time when the standard is an 8-hour TWA.

80 ppm × 3 h + 40 ppm × 5 h → 55 ppm.

OSHA 5 vs NIOSH 3

OSHA T = 8 / 2^((L−90)/5) · NIOSH T = 8 / 2^((L−85)/3)

Allowed duration at a constant A-weighted level.

Trap: Mixing 5 dB exchange with an 85 dB criterion.

OSHA 95 dBA → T = 4 h.

Q = VA

Q = V × A

Duct, capture, or dilution flow.

Trap: Using diameter as radius. Inches left as inches.

12-inch round at 2000 fpm → about 1,571 cfm.

NIOSH RWL

RWL = 51 × HM × VM × DM × AM × FM × CM

Two-handed lifting recommended weight limit.

Trap: Treating 51 lb as the RWL when a multiplier is open.

HM = 0.50, others 1 → RWL = 25.5 lb.

ppm ↔ mg/m³

mg/m³ = (ppm × MW) / 24.45 at 25 °C

Gas or vapor unit conversion at NTP.

Trap: Using 22.4 when the stem is 25 °C.

CO MW 28 at 50 ppm → 57.3 mg/m³.

ROI

ROI = (Gain − Cost) / Cost

Simple return on a control spend.

Trap: Calling payback years an ROI percent.

Avoided 80k on 20k spend → 300%.

FMEA RPN

S × O × D

Rank FMEA rows. Not an FTA probability.

Trap: Using RPN on a fault tree.

8 × 4 × 5 = 160.

Dike volume

L × W × H, then × 7.48 for gallons

Secondary containment capacity.

Trap: Ignoring freeboard or tank displacement in the last sentence.

40 × 30 × 1.5 ft → 1,800 ft³.