Servo & Reducer Sizing — Elbow (Axis 3)
Motor torque through the reducer for a elbow (axis 3) from load, speed and ratio.
Elbows live in the middle of the speed-torque trade: less gravity load than the shoulder, more speed demand. Cycloidal and harmonic reducers split this class — cycloidal takes shock better, harmonic wins on backlash and weight further out the arm.
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 through the reducer for a elbow (axis 3) 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 — Elbow (Axis 3)
Servo & Reducer Sizing — Elbow (Axis 3) computes the governing relationship T_m = (J·α + T_static) / (i·η) · n_m = n_joint·i live as you type. Elbows live in the middle of the speed-torque trade: less gravity load than the shoulder, more speed demand. Cycloidal and harmonic reducers split this class — cycloidal takes shock better, harmonic wins on backlash and weight further out the arm. 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 — Elbow (Axis 3)
- 1Enter your values — Load inertia at joint, Joint speed, Time to reach speed, Gravity/static torque at joint and more (sensible defaults are pre-filled).
- 2Read the live results: Peak motor torque, Acceleration share, Motor speed.
- 3Check the "with your numbers" line to see T_m = (J·α + T_static) / (i·η) · n_m = n_joint·i substituted step by step.
- 4Adjust inputs until the scenario matches yours, then copy or share the result.
Why use Servo & Reducer Sizing — Elbow (Axis 3)?
- ✓Instant, free and private — every calculation runs client-side in your browser; nothing is uploaded
- ✓Built on the stated formula T_m = (J·α + T_static) / (i·η) · n_m = n_joint·i with authoritative sources cited on the page (Nabtesco / Harmonic Drive sizing guidelines; Siciliano & Khatib (eds.), Springer Handbook of Robotics, 2nd ed.)
- ✓Elbows live in the middle of the speed-torque trade: less gravity load than the shoulder, more speed demand.
- ✓Niche-specific defaults give a meaningful worked answer the moment the page loads
Frequently asked questions
What formula does the servo & reducer sizing — elbow (axis 3) use?+
It evaluates T_m = (J·α + T_static) / (i·η) · n_m = n_joint·i, 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?+
Elbows live in the middle of the speed-torque trade: less gravity load than the shoulder, more speed demand. 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 through the reducer for a elbow (axis 3) from load, speed and ratio. A free industrial robot kinematics & cell design tool. Cycloidal and harmonic reducers split this class — cycloidal takes shock better, harmonic wins on backlash and weight further out the arm. For neighbouring scenarios, the related tools below cover the same engine with different presets.
Do I need to install anything or create an account?+
No. The tool is pure client-side JavaScript: open the page and it works, offline once loaded, with no account, no quota and no data leaving your device.
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