Robotics & Automation calculator

Light Curtain Safety Distance Calculator

Find the mounting distance for a light curtain so a hand cannot reach the hazard before the machine stops. It uses hand speed K, the system stopping time, the depth penetration allowance from the curtain resolution, and a margin.

What this calculator does

  • ISO 13855 mounting distance for a light curtain, from hand approach speed, stopping time, depth penetration allowance and a safety margin.

Formula used

  • Reaction travel (mm) = hand approach speed K × total stopping time T
  • Base distance (mm) = reaction travel plus depth penetration allowance C
  • Curtain distance (mm) = base distance × margin multiplier
  • Distance added by margin (mm) = curtain distance less base distance

Inputs explained

  • Hand Approach Speed K: Hand approach speed K, usually 2,000 mm/sec per ISO 13855.
  • Stopping Time T to a Full Stop: Curtain trip to full machine stop, from a stop-time test.
  • Depth Penetration Allowance C: Allowance C from the curtain resolution and detection capability.
  • Applied Margin Multiplier: Scale factor on the base distance; below 1 removes allowance.

How to use the result

  • Best suited to mounting a curtain at a robot cell entry, checking distance before a stop test, comparing resolutions for one opening.
  • ISO 13855 allows 1,600 mm/sec only where 2,000 gives over 500 mm, never below 500 mm; this page keeps your K. Whole body access and reach over or under the curtain need their own risk assessment.

Current U.S. benchmarks

  • Global copper trades at $13,543 per tonne (IMF via FRED, Jul 2026), up 38.6% in a year, and U.S. industrial electricity averages 9.77 cents per kWh. Both feed electrified-hardware unit economics.

Common questions

  • Which hand speed K does ISO 13855 use? The standard assumes a 2,000 mm/sec hand approach for normal detection, which is the default here. Only where that gives more than 500 mm may you recalculate at 1,600 mm/sec, and never below 500 mm.
  • How is C set by the curtain resolution? For a light curtain the standard gives C = 8 × (d − 14) millimeters, where d is the detection capability, for resolutions up to 40 mm. The 30 mm resolution gives the 128 mm default.
  • Can a lower multiplier shorten the distance? Only with a documented risk assessment. Below 1 the multiplier removes the allowance the standard's distance carries, and this page warns. Keep 1 or more for a normal installation.
  • Is the calculated distance enough on its own? No. It sets mounting distance only; the risk assessment sets the performance level, resolution, muting and restart logic. OSHA 1910.212 also requires guarding that protects the operator at the point of operation.

Last reviewed 2026-10-01.