Payload Torque Check — Collaborative Robot (5 kg)
Static shoulder moment for a collaborative robot (5 kg) from payload, reach and arm mass — the gearbox-sizing number.
Power-and-force-limited arms are torque-starved by design — gravity from a long gripper eats straight into the 5 kg rating. Cobot integrators learn to weigh the gripper, the cable dress and the part together against this number before promising cycle times.
Formula
Note: Planning-level engineering estimate — final robot selection, guarding layout and risk assessment must follow the integrator's calculations and a documented ISO 12100/10218 risk assessment.
Disclaimer: This tool is for general informational and estimation purposes only and is not professional financial, tax, accounting or legal advice. All figures are estimates — verify with a qualified professional before making decisions. Read the full disclaimer.
Static shoulder moment for a collaborative robot (5 kg) from payload, reach and arm mass — the gearbox-sizing number. A free industrial robot kinematics & cell design tool — no sign-up, no upload, instant results in your browser.
About Payload Torque Check — Collaborative Robot (5 kg)
Payload Torque Check — Collaborative Robot (5 kg) computes the governing relationship M = m_p·(g+a)·r + m_arm·(g+a)·0.45r live as you type. Power-and-force-limited arms are torque-starved by design — gravity from a long gripper eats straight into the 5 kg rating. Cobot integrators learn to weigh the gripper, the cable dress and the part together against this number before promising cycle times. 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 Payload Torque Check — Collaborative Robot (5 kg)
- 1Enter your values — Payload (incl. gripper), Horizontal reach to load CG, Arm moving mass, Vertical acceleration (sensible defaults are pre-filled).
- 2Read the live results: Shoulder moment, Gravity-only moment, Payload share of moment.
- 3Check the "with your numbers" line to see M = m_p·(g+a)·r + m_arm·(g+a)·0.45r substituted step by step.
- 4Adjust inputs until the scenario matches yours, then copy or share the result.
Why use Payload Torque Check — Collaborative Robot (5 kg)?
- ✓Instant, free and private — every calculation runs client-side in your browser; nothing is uploaded
- ✓Built on the stated formula M = m_p·(g+a)·r + m_arm·(g+a)·0.45r with authoritative sources cited on the page (Siciliano & Khatib (eds.), Springer Handbook of Robotics, 2nd ed.; ISO 9283 — Manipulating industrial robots: performance criteria)
- ✓Power-and-force-limited arms are torque-starved by design — gravity from a long gripper eats straight into the 5 kg rating.
- ✓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 payload torque check — collaborative robot (5 kg) use?+
It evaluates M = m_p·(g+a)·r + m_arm·(g+a)·0.45r, exactly as published. Sources: Siciliano & Khatib (eds.), Springer Handbook of Robotics, 2nd ed.; ISO 9283 — Manipulating industrial robots: performance criteria. 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?+
Power-and-force-limited arms are torque-starved by design — gravity from a long gripper eats straight into the 5 kg rating. Planning-level engineering estimate — final robot selection, guarding layout and risk assessment must follow the integrator's calculations and a documented ISO 12100/10218 risk assessment.
When is this calculator the right tool for the job?+
Static shoulder moment for a collaborative robot (5 kg) from payload, reach and arm mass. Cobot integrators learn to weigh the gripper, the cable dress and the part together against this number before promising cycle times. 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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