Payload Torque Check — 6-Axis Industrial (20 kg)
Static shoulder moment for a 6-axis industrial (20 kg) from payload, reach and arm mass — the gearbox-sizing number.
A quarter-ton arm holding 20 kg at 1.5 m generates shoulder torques in the 700+ N·m range under braking. This static estimate explains the size of the gearboxes — and why exceeding payload 'just a little' shortens reducer life disproportionately.
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.
Static shoulder moment for a 6-axis industrial (20 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 — 6-Axis Industrial (20 kg)
Payload Torque Check — 6-Axis Industrial (20 kg) computes the governing relationship M = m_p·(g+a)·r + m_arm·(g+a)·0.45r live as you type. A quarter-ton arm holding 20 kg at 1.5 m generates shoulder torques in the 700+ N·m range under braking. This static estimate explains the size of the gearboxes — and why exceeding payload 'just a little' shortens reducer life disproportionately. 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 — 6-Axis Industrial (20 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 — 6-Axis Industrial (20 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)
- ✓A quarter-ton arm holding 20 kg at 1.5 m generates shoulder torques in the 700+ N·m range under braking.
- ✓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 — 6-axis industrial (20 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?+
A quarter-ton arm holding 20 kg at 1.5 m generates shoulder torques in the 700+ N·m range under braking. 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 6-axis industrial (20 kg) from payload, reach and arm mass. This static estimate explains the size of the gearboxes — and why exceeding payload 'just a little' shortens reducer life disproportionately. 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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