Shoulder, Elbow, Wrist: How Humanoid Robots Budget Their Arm Joints and Actuators
Shoulder, elbow, wrist: how humanoids budget their arm joints
Legs get the torque; arms get the joints. Almost every flagship humanoid has converged on seven degrees of freedom per arm — three at the shoulder, one at the elbow, three at the wrist — while budget robots quietly sell the wrist back to you as an option. This is where those seven joints go, why the wrist is the hardest one to build, and what the arms can actually lift.
Sources: RobotWale DoF comparison; Unitree G1 specifications; Fourier GR-2 specifications; Tesla Optimus V3 patent reporting (Droids/Teslarati).
Arms are not legs
A humanoid leg is a torque problem: six joints per side, sized around a knee that must catch the robot’s full weight at every step. We covered that budget in our leg joint architecture explainer. The arm is a different problem entirely. Its joints see a fraction of the load — the base Unitree G1’s knee is rated at 90 N·m while its whole arm is specified to carry about 2 kg — but they must reach around obstacles, orient a hand in any direction, and pass power and signal wiring out to fingers that are getting more numerous every generation.
That is why arm design is dominated by kinematics rather than torque. A hand position and orientation in space consumes six degrees of freedom; the seventh joint that most flagship arms carry buys redundancy. With seven joints, the arm can hold the hand perfectly still while the elbow swings through space — the same trick you use to keep a cup level while moving your elbow off a table edge. Robotics literature treats this null-space motion as the key to reaching into shelves and around fixtures, and it is why inverse-kinematics research for 7-DoF humanoid arms is its own subfield.
Figure 1 · Animated · The seven-joint arm: 3 shoulder + 1 elbow + 3 wrist. The elbow swings around the shoulder–wrist line while the hand pose stays fixed
Illustration: humanoid.guide. Schematic only; link proportions are not to scale. Animation is CSS-only and respects reduced-motion settings.
The seven-joint consensus — and who pays for less
Across published spec sheets, the flagship platforms cluster tightly. Tesla’s Optimus Gen 2 carries 7 DoF per arm including a 3-DoF wrist; Figure’s arms are reported at 7 DoF; 1X built its upper body around 7-DoF arms precisely for the elbow-repositioning redundancy described above. Fourier’s GR-2 spreads 53 total DoF across the body with 12-DoF hands on each arm. Apptronik’s Apollo, built around the company’s in-house linear actuators, is reported at 6 DoF per arm — one of the few flagships to give up the redundant joint.
The cost engineering shows at the other end of the market. The $13,500 base Unitree G1 ships with 5 DoF per arm — three shoulder axes, an elbow, and a single wrist roll. The two remaining wrist axes, pitch and yaw, are sold as an option on the G1 EDU tier, alongside the dexterous hand. When a manufacturer needs to cut arm cost, the wrist is the first thing to go: it is the joint furthest from the torso, so every gram there costs shoulder torque, and it is the joint whose absence a scripted demo hides best.
Table 1 · Arm architecture by robot, published figures
| Robot | Arm DoF (per arm) | Wrist | Published arm/hand figures |
|---|---|---|---|
| Tesla Optimus Gen 2 | 7 | 3 DoF | 11-DoF hands; ~20 kg payload reported |
| Tesla Optimus V3 (patents) | — | 2 DoF + tendon router | ~22-DoF hand, tendons driven from forearm actuators |
| Figure 02 | 7 (reported) | Human-like ROM; routes all hand wiring | 16-DoF hands; up to 25 kg per hand per The Robot Report |
| Unitree G1 (base) | 5 | 1 DoF (roll) | ~2 kg arm load; 23 DoF total; $13.5k |
| Unitree G1 EDU | 7 | 3 DoF (roll ±113°, pitch/yaw ±92°) | ~3 kg arm load; up to 43 DoF with Dex3-1 hands |
| Fourier GR-2 | — | Included in 53-DoF body | 3 kg single-arm payload; 12-DoF hands; FSA 2.0 actuators to 380 N·m |
| Apptronik Apollo | 6 (reported) | — | Linear-actuator arms; 25 kg whole-robot payload |
Sources: RobotWale; Unitree G1 specifications and QRE joint-range documentation; The Robot Report (Figure 02, Apollo); Droids/Teslarati V3 patent reporting; Fourier via botinfo.ai. “—” means no public per-arm figure; “reported” marks third-party rather than manufacturer numbers.
Chart 1 · Degrees of freedom per arm, wrist included, as published or reported
Sources: RobotWale DoF comparison (Optimus, Figure, Eva, Apollo); Unitree G1 product specifications. The base G1 (yellow) reaches 7 only with the optional EDU wrist upgrade.
The wrist is the hard part
Ask arm designers where the pain is and the answer is consistent: the wrist. It has the smallest packaging envelope on the robot, sits at the end of the longest lever, and everything the hand needs — power, sensor wiring, and increasingly tendons — must pass through it while it moves. Yale’s review of prosthetic and robotic wrist design documents how rarely full three-axis wrists appear in practice, and academic groups keep proposing parallel mechanisms and cable-driven wrists, from KIT’s high-torque-density compact wrist to MIT CSAIL’s DexWrist, precisely because a serial stack of three motors at the end of an arm is heavy, slow and fragile.
The production robots show two responses. Figure 02’s wrist is engineered as a conduit: Figure says it matches a human wrist’s range of motion while encasing and routing all of the power and signal wiring for the 16-DoF hand. Tesla’s Optimus V3 patents go further. With the hand’s actuators relocated into the forearm, roughly 22 hand DoF are driven by tendons — three per finger — that must cross a 2-DoF wrist without changing length. The patents describe a transition zone in the wrist where tendon bundles exit the forearm as a lateral stack and are re-ordered into a vertical stack entering the palm, geometry chosen to minimise friction, stretch and torque crosstalk between channels as the wrist moves. The wrist, in other words, has become a cable router with bearings.
Figure 2 · Animated · The wrist as tendon router: forearm actuation in the Optimus V3 patent architecture
Illustration: humanoid.guide, after Tesla Optimus V3 patent reporting by Droids and Teslarati. Schematic only. Animation is CSS-only and respects reduced-motion settings.
Payload: the honest numbers
Arm payload is where marketing and physics diverge, so it pays to read the fine print. The figures below are what manufacturers and trade press actually publish.
- Unitree G1: about 2 kg per arm on the base model, about 3 kg on the EDU — stated plainly on Unitree’s own spec sheet for a 35 kg robot.
- Fourier GR-2: 3 kg single-arm payload on a 63 kg robot, even though its FSA 2.0 actuator family peaks at 380 N·m — peak joint torque and sustained arm payload are different quantities, as our thermal limits explainer details.
- Apptronik Apollo: a 25 kg payload — but that is a whole-robot, two-armed figure for a 72.5 kg machine built for tote handling.
- Figure 02: The Robot Report cites hands engineered to carry up to 25 kg each; Optimus Gen 2’s arm payload is reported around 20 kg. Neither company publishes a continuous-duty arm rating.
Go deeper: The Humanoid Actuation Report
249 pages on motors, reducers, screws, bearings, encoders and drives, the vendors behind every major platform, and the cost curves that decide adoption to 2036.
The Humanoid Actuation Report All joints & actuators articles All humanoid.guide reportsKeep reading · Joints & actuators
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FAQ
Why do most humanoid arms have 7 degrees of freedom?
Placing and orienting a hand in space needs six. The seventh is redundancy: it lets the elbow swing through free space while the hand stays put, so the arm can reach into shelves, around fixtures and past its own body. Human arms have the same property, which is why 3 shoulder + 1 elbow + 3 wrist has become the default split.
Why do cheaper humanoids cut the wrist first?
The wrist is the furthest joint from the torso, so its mass costs shoulder torque; it has the tightest packaging envelope; and its absence is the easiest to hide in a demo. Unitree’s base G1 ships with one wrist axis and sells the other two as part of the EDU tier.
What is a tendon router, and why does Optimus V3 need one?
When hand actuators move into the forearm, every finger tendon must cross the wrist without changing length as the wrist moves. Tesla’s V3 patents describe a wrist transition zone that re-orders the tendon bundle from a lateral stack to a vertical one, keeping tension stable and minimising crosstalk between fingers during combined wrist motions.
How much can a humanoid robot arm actually lift?
Published single-arm figures for research-class robots are 2–3 kg (Unitree G1, Fourier GR-2). Industrial flagships claim more — around 20 kg for Optimus and up to 25 kg per hand for Figure 02 in trade-press reporting — but continuous-duty ratings at full reach are almost never published.
Do arm joints use the same actuators as leg joints?
Usually the same architecture in a smaller frame size: rotary units with reducers for most robots, linear actuators on Apollo’s arms. Arm joints are torque-modest but precision-hungry, which shifts the spend toward encoders, wiring and the wrist mechanism rather than raw gear torque.
Sources
- RobotWale — Decoding Degrees of Freedom in Shipping Humanoid Robots (7-DoF arms on Optimus, Figure and 1X Eva; Apollo 6 DoF; Optimus ~20 kg arm payload)
- Unitree Robotics — G1 product specifications (5-DoF arm, +2 wrist DoF on EDU, 23–43 DoF, 2–3 kg arm load, Dex3-1 hand, $13.5k)
- QRE Docs — Unitree G1 overview (per-joint ranges: elbow −60° to 120°, wrist roll ±113°, wrist pitch/yaw ±92°)
- The Robot Report — Figure 02 humanoid robot is ready to get to work (16-DoF hands, up to 25 kg per hand, wrist routes all power and signal wiring)
- Droids — The Forearm Is the New Hand: Inside Tesla’s Optimus V3 Patents (forearm actuators, ~22-DoF hand, 2-DoF wrist, tendon router geometry)
- Teslarati — Tesla Optimus V3 hand and arm details revealed in new patents
- botinfo.ai — Fourier humanoid robots: GR-2, GR-3 specs (53 DoF, 12-DoF hands, 3 kg single-arm payload, FSA 2.0 to 380 N·m)
- The Robot Report — Apptronik unveils Apollo (25 kg payload, 72.5 kg, linear-actuator arms)
- Yale GRAB Lab — A Review of Prosthetic and Robotic Wrist Design
- MIT CSAIL — DexWrist: A Robotic Wrist for Constrained and Dynamic Manipulation
- KIT H2T — Compact wrist mechanism with high torque density
- Mechanism and Machine Theory — Inverse kinematics for a 7-DOF humanoid arm with joint limit and end-pose coupling (redundancy resolution)
- Mechanism and Machine Theory — Redundant actuated humanoid wrist joint parallel mechanism
