How to calculate cobot reach: catalog reach, TCP, and EOAT length

Cobot reach calculation: catalog reach is usually base-to-flange, not a TCP guarantee; required≈farthest task point + EOAT past flange + approach clearance—then check pose and dead zones. Collaborative robotic arm reach checklist.

Roooll cobot reach guide: calculate required reach from farthest TCP point, EOAT length, and approach clearance for a collaborative robotic arm

Quick answer

Definition: catalog reach is usually base-to-wrist-flange max radius—not a guarantee your TCP hits every cell point

Formula: required reach ≈ farthest task point from base + EOAT length past flange + approach / retract clearance

Also check: wrist orientation at that point, inner dead zones, guards and neighbor interference—straight-line OK can still fail

Margin: do not size critical far points to 100% of catalog max; review base height with layout

With payload: far reach + heavy load derate each other → Payload guide

Teach reaches the far tote corner; flange distance still sits inside catalog reach, but the TCP is two centimeters short—the gripper sticks out, and the approach is not radial. Someone still flips the datasheet: “It says 1400 mm.” Reach failures are rarely unread specs. They are treating flange radius as the point you actually need to touch. Below: three terms, two worked examples, Roooll bands, dead zones, and cross-checks.

What cobot reach means (three terms that must stay separate)

Catalog reach is typically max working radius from base reference to wrist flange—the datasheet headline (for example 622 / 922 / 1400 mm). The work envelope is what remains after pose limits, inner radius, under-base blind spots, and interference. A TCP demand point is where the tool center must go. Validate the TCP, never the flange center alone.

AMD Machines notes usable space depends on exact points, approach vectors, and dead zones—six-axis arms often miss under-base work and an inner radius. EVS’s reach guide frames required reach as farthest point + tool + clearance—paste that into the comparison sheet before quote.

TermMeaningHow to use it
Catalog reachSpec headline (flange radius)First filter for clearly short models
TCP demand pointWhere the tool center must actually goWhat you validate—not flange center
EOAT add-onFlange-to-TCP / cup-face lengthAdds directly to required reach
Usable envelopeAfter interference, pose, and inner limitsFinal layout and teach criterion
Approach / retract clearanceGuards, door frames, stack height, retract spaceThe “invisible length” teams often skip

Why the catalog number lies without context

Flange inside catalog radius only means the wrist can theoretically reach that circle. TCP still sits beyond the flange; approach is often not radial; grasp pose still matters. Fail any of those and “on paper” becomes two centimeters short in teach. Usual failure: the quote never marked farthest TCP or measured tool length past the flange.

How to calculate required reach (paste into the sizing sheet)

Core equation:

Required reach ≈ base-to-farthest-task distance + EOAT length past flange + approach / retract clearance

Mark the base center on a top view; list every pick / place / transition point—use the farthest, not the average or “looks central”

Measure EOAT length past the flange (fingertips, cup face, fixture tip)—if the tool is open, budget the worst-case upper length

Add approach and retract clearance: guards, machine door frames, stack tops, retract transitions (often tens of millimeters—set from the cell, not from habit)

Shortlist 2–3 models by catalog reach, then check worst-pose reachability and interference

Raise the base, angle the mount, shift the bench, step to longer reach, or add a track when needed—more honest than “thin the cup first”

Pair with payload → Payload guide; top-view method → Workcell layout guide

Worked example 1: CNC machine tending (farthest outfeed)

Chuck center is 620 mm from the planned base; the farthest outfeed tote corner is 1,380 mm from the same base. Gripper past the flange is about 160 mm; approach / retract needs another 60 mm.

Line itemValue
Farthest task point (outfeed corner)1,380 mm
EOAT past flange160 mm
Approach / retract clearance60 mm
Farthest demand total≈ 1,600 mm

Filtering on chuck-center 620 mm alone misses the outfeed corner. At ~1,600 mm demand, r-Lite 622 mm and r-Core 922 mm are short; mid-long tiers still need pose and door-frame checks. EVS uses this farthest-point method; doors and chuck poses often cut another slice off “paper OK.”

Worked example 2: palletizing full-stack corners (point table)

Pallet plane with the base at the side. Stack center is 900 mm from the base; the four full-stack corners sit at 1,050 / 1,120 / 1,280 / 1,350 mm (farthest 1,350 mm). Vacuum tooling past the flange is 180 mm; top-layer approach clearance is 80 mm (stack height plus retract).

PointBase to point+EOAT 180+clearance 80Demand
Stack center9001,0801,160Center OK is not acceptance
Near corner A1,0501,2301,310
Near corner B1,1201,3001,380
Far corner C1,2801,4601,540
Farthest corner D1,3501,5301,610Lock this row

Center-only checks pick the wrong tier. Shift the base 15 cm and farthest demand jumps—layout and reach share one page → Workcell layout guide.

Short / mid / long reach bands (mapped to Roooll)

BandCatalog reach orderTypical cellsRoooll entry
ShortAbout 600–650 mm (e.g. 622 mm)Bench assembly, near picks, labr-Lite
MidAbout 900–950 mm (e.g. 922 mm)Near-machine tending, line-side feed, mid travelr-Core
Mid-longAbout 1,400 mm classCross-bench picks, larger totes, packagingr-Reach (~1400 mm) · r-Ultra (~1402 mm)
Long / variableAbout 1.0–1.85 m classLarge envelopes, heavy far poses, multi-point coverr-Max (~1034–1854 mm by model)

Bands are market shorthand; your farthest TCP demand plus pose clearance wins. Three-model table → Side-by-Side Comparison; application unclear → Product Advisor. Do not freeze reach tier before tool length is bounded → End-effector guide.

Dead zones, blocked paths, and a brief note on a 7th axis

Two common “paper OK, teach fails” cases: an inner radius near the base, and an under-base blind spot. Raise the pedestal, angle the mount, or approach near-machine points from the side before jumping a reach class. Blocked by a guard or cable tray? That is layout and dress—not another 50 mm on the catalog line.

When one fixed base cannot cover multiple far points, or demand stays above the long-reach tier: evaluate a 7th axis / floor track. Finish fixed-base farthest-TCP math first; tracks rewrite cabling, safety zones, and cycle time—see the Cycle time guide.

Cross-constraints: reach × payload × layout

CrossQuestion that must share one pageRevisit
Reach × payloadDoes the far pose still sit inside rated headroom? Does full load kill takt?Payload guide
Reach × layoutAre base ±tolerance, full-reach envelope, and cable bend on the top / side views?Workcell layout guide
Reach × EOATAfter tool stick-out, does farthest demand still clear?End-effector guide

When load exceeds ~75% of rated, keep the envelope near 70–80% of max reach (Ocean Player)—far reach plus heavy load hits base / shoulder torque first.

Common mistakes

MistakeFloor symptomFix
Catalog reach as TCP radiusFlange OK, tool shortAdd EOAT length first
Center distance onlyStack center OK, corners missMark full-stack / full-travel corners
Ignore inner / under-base dead zonesNear-machine points unreachableCheck envelope and base height
Sum of link lengths as specWrong vs vendor methodFilter with catalog reach only
Reach OK but hits guard / cablesPath blockedReview layout and dress together
Never pair with payloadFar pose slows or protective-stopsRewrite far points into the payload ledger
“Nudge” the base after delivery15 cm shift fails the tierFreeze the top view before the PO

Published evidence bands

BandClaimSource
Required reach mathFarthest point + tool + clearanceEVS reach guide
Catalog definitionOften base to J6 flangeAMD payload & reach
Dead zonesInner radius; under-base often unreachableSame
Far reach × payload sweet spotAt high load, keep envelope near 70–80% of max reachOcean Player

Common questions

Is catalog reach to the flange or the TCP?
Usually to the wrist flange; your task point is at the TCP. Add tool length before comparing to the catalog—or fingertips miss by centimeters in week one of teach.
If straight-line distance fits the catalog, are we done?
No. Wrist pose, near-singularity postures, guards, neighbors, and inner dead zones can make “on paper” unreachable. Acceptance is critical-pose reachability, not distance under catalog reach.
How much margin should we leave?
No single legal number. Keep critical far points off absolute catalog max; add approach / retract, door frames, and stack height separately. Base ±tolerance on the sketch belongs in worst-case demand.
Can a short arm “just make it” with a longer gripper?
Longer EOAT raises required reach, CoG offset, and wrist moment—and can rewrite safety contact geometry. Move the base, step up reach class, or evaluate a track instead of endlessly lengthening fingers.
When do we need a 7th axis or floor track?
When a fixed base cannot cover multiple far points, or demand stays beyond long-reach tiers and relocating equipment is unrealistic. Tracks change takt, cabling, and safety zones—scope them explicitly.
If reach and payload conflict, which wins?
Both must clear. Same-cell checks → Payload guide · Workcell layout guide.
EOAT is not frozen—how do we shortlist reach?
Budget worst-case tool length, size to that demand, re-measure when the tool freezes. Method: End-effector guide.

Next steps

Reach and payload in one three-model table: Side-by-Side Comparison

Scan reach tiers across the lineup: Full r-Series lineup specs

Application unclear—narrow tiers first: Product Advisor

Top view and base placement: Workcell layout guide

EOAT length still open: End-effector guide

Far pose vs rated headroom: Payload guide

Station sketch or CAD: Contact us

Share article

New possibilities for your next cobot deployment.

Explore new ways to move your decision forward—with clarity, confidence, and less second-guessing. You don't need every detail settled before you loop in procurement or engineering. When the guides have pointed the way, the paths below help you take the next step together.