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Robot Safety — Speed & Separation Monitoring (SSM)

Speed & Separation Monitoring (SSM) calculation per the machinery-safety standards (ISO 13855/13857, ISO 10218, ISO/TS 15066).

0
Min protective separation (mm)
0
Human-motion share (%)

SSM lets a full-speed industrial robot share space by maintaining a moving bubble — the formula's biggest term is usually the HUMAN's travel during sensing and braking, not the robot's. Faster perception (smaller t_s) shrinks the bubble more effectively than slowing the robot.

Formula

S_p = v_h(t_s+t_b) + v_r·t_s + ½v_r·t_b + C [TS 15066 SSM]
References: ISO 13855 — Positioning of safeguards w.r.t. approach speeds; ISO 13857 — Safety distances (upper/lower limbs); ISO/TS 15066 — Collaborative robots: power & force limiting

Note: Safety calculations here are layout-planning aids ONLY. The legally required values must come from the cited standards' full tables and a documented risk assessment by a qualified person.

Speed & Separation Monitoring (SSM) calculation per the machinery-safety standards (ISO 13855/13857, ISO 10218, ISO/TS 15066). A free industrial robot kinematics & cell design tool — no sign-up, no upload, instant results in your browser.

About Robot Safety — Speed & Separation Monitoring (SSM)

Robot Safety — Speed & Separation Monitoring (SSM) computes the governing relationship S_p = v_h(t_s+t_b) + v_r·t_s + ½v_r·t_b + C [TS 15066 SSM] live as you type. SSM lets a full-speed industrial robot share space by maintaining a moving bubble — the formula's biggest term is usually the HUMAN's travel during sensing and braking, not the robot's. Faster perception (smaller t_s) shrinks the bubble more effectively than slowing the robot. Defaults are pre-filled with realistic values for this exact scenario, and the worked example substitutes your numbers step by step so the math is never a black box.

How to use Robot Safety — Speed & Separation Monitoring (SSM)

  1. 1Enter your values — Robot speed toward human, Human approach speed, Sensing + reaction time, Robot braking time and more (sensible defaults are pre-filled).
  2. 2Read the live results: Min protective separation, Human-motion share.
  3. 3Check the "with your numbers" line to see S_p = v_h(t_s+t_b) + v_r·t_s + ½v_r·t_b + C [TS 15066 SSM] substituted step by step.
  4. 4Adjust inputs until the scenario matches yours, then copy or share the result.

Why use Robot Safety — Speed & Separation Monitoring (SSM)?

  • Instant, free and private — every calculation runs client-side in your browser; nothing is uploaded
  • Built on the stated formula S_p = v_h(t_s+t_b) + v_r·t_s + ½v_r·t_b + C [TS 15066 SSM] with authoritative sources cited on the page (ISO 13855 — Positioning of safeguards w.r.t. approach speeds; ISO 13857 — Safety distances (upper/lower limbs); ISO/TS 15066 — Collaborative robots: power & force limiting)
  • SSM lets a full-speed industrial robot share space by maintaining a moving bubble — the formula's biggest term is usually the HUMAN's travel during sensing and braking, not the robot's.
  • SI ⇄ Imperial toggle converts your inputs in place, so you can work in the units your drawings use

Frequently asked questions

What formula does the robot safety — speed & separation monitoring (ssm) use?+

It evaluates S_p = v_h(t_s+t_b) + v_r·t_s + ½v_r·t_b + C [TS 15066 SSM], exactly as published. Sources: ISO 13855 — Positioning of safeguards w.r.t. approach speeds; ISO 13857 — Safety distances (upper/lower limbs); ISO/TS 15066 — Collaborative robots: power & force limiting. The substituted worked example on the page lets you verify every step against the textbook.

How should I read the result — and how far can I trust it?+

SSM lets a full-speed industrial robot share space by maintaining a moving bubble — the formula's biggest term is usually the HUMAN's travel during sensing and braking, not the robot's. Safety calculations here are layout-planning aids ONLY. The legally required values must come from the cited standards' full tables and a documented risk assessment by a qualified person.

When is this calculator the right tool for the job?+

Speed & Separation Monitoring (SSM) calculation per the machinery-safety standards (ISO 13855/13857, ISO 10218, ISO/TS 15066). A free industrial robot kinematics & cell design tool. Faster perception (smaller t_s) shrinks the bubble more effectively than slowing the robot. For neighbouring scenarios, the related tools below cover the same engine with different presets.

Does it support both metric and imperial units?+

Yes — the SI ⇄ Imperial toggle converts the values already in the fields, preserving the physical quantity, so you can flip mid-calculation without re-entering anything.

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