Servo & Reducer Sizing — Indexing Conveyor Drive
Motor torque and thrust for a indexing conveyor drive from load, speed and ratio.
Index conveyors stop-start forever: RMS torque over the duty cycle, not peak, kills motors here. Use the peak result for the reducer and gear it so peak motor torque sits near 60–70% of the motor's limit — index drives age in the thermal margin.
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.
Motor torque and thrust for a indexing conveyor drive from load, speed and ratio. A free industrial robot kinematics & cell design tool — no sign-up, no upload, instant results in your browser.
About Servo & Reducer Sizing — Indexing Conveyor Drive
Servo & Reducer Sizing — Indexing Conveyor Drive computes the governing relationship F = m(a + g·sinθ + µ·g·cosθ) · T = F·lead/(2π·η) live as you type. Index conveyors stop-start forever: RMS torque over the duty cycle, not peak, kills motors here. Use the peak result for the reducer and gear it so peak motor torque sits near 60–70% of the motor's limit — index drives age in the thermal margin. 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 Servo & Reducer Sizing — Indexing Conveyor Drive
- 1Enter your values — Moved mass, Acceleration, Max speed, Drive circumference (πD or rack pitch·z) and more (sensible defaults are pre-filled).
- 2Read the live results: Peak thrust, Motor torque, Motor speed at v_max.
- 3Check the "with your numbers" line to see F = m(a + g·sinθ + µ·g·cosθ) · T = F·lead/(2π·η) substituted step by step.
- 4Adjust inputs until the scenario matches yours, then copy or share the result.
Why use Servo & Reducer Sizing — Indexing Conveyor Drive?
- ✓Instant, free and private — every calculation runs client-side in your browser; nothing is uploaded
- ✓Built on the stated formula F = m(a + g·sinθ + µ·g·cosθ) · T = F·lead/(2π·η) with authoritative sources cited on the page (Nabtesco / Harmonic Drive sizing guidelines; Siciliano & Khatib (eds.), Springer Handbook of Robotics, 2nd ed.)
- ✓Index conveyors stop-start forever: RMS torque over the duty cycle, not peak, kills motors here.
- ✓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 servo & reducer sizing — indexing conveyor drive use?+
It evaluates F = m(a + g·sinθ + µ·g·cosθ) · T = F·lead/(2π·η), exactly as published. Sources: Nabtesco / Harmonic Drive sizing guidelines; Siciliano & Khatib (eds.), Springer Handbook of Robotics, 2nd ed.. 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?+
Index conveyors stop-start forever: RMS torque over the duty cycle, not peak, kills motors here. 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?+
Motor torque and thrust for a indexing conveyor drive from load, speed and ratio. A free industrial robot kinematics & cell design tool. Use the peak result for the reducer and gear it so peak motor torque sits near 60–70% of the motor's limit — index drives age in the thermal margin. 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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