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Calcimator

Robot Reach Calculator

Calculate workspace envelope from arm link lengths and joint limits. Determine maximum and minimum reach, workspace area, and volume.

Inputs

mm
mm
mm
°
°

Results

Maximum Reach

850 mm

≈ 10 credit cards

Minimum Reach0 mm
Workspace Area2,143,700.65 mm²
Workspace Volume1,093,287,333.42 mm³
Total Arm Length850 mm
How to Use This Calculator
  1. Enter the length of each robot arm link (mm or m) — typically found in the URDF or datasheet.
  2. Set joint angle limits (degrees) for each joint in your robot configuration.
  3. Review maximum reach, minimum reach (inner dead zone), workspace area (m²), and volume (m³).
  4. Verify all work station positions fall within the reach envelope before finalizing cell layout.

How the result changes with Link 1 Length

Link 1 LengthMaximum Reach
345795 mm
1,0831,533 mm
1,9682,418 mm
2,7053,155 mm

What each input means

Link 1 Length
Length of the first arm link (shoulder to elbow).
Link 2 Length
Length of the second arm link (elbow to wrist).
Link 3 Length
Length of the wrist/end-effector offset.
Joint Min Angle
Minimum rotation angle of the base joint.
Joint Max Angle
Maximum rotation angle of the base joint.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Link 1 Length = 400, Link 2 Length = 350, Link 3 Length = 100, Joint Min Angle = -170 = 5 input(s) provided
  2. Calculate Maximum Reach
    Maximum Reach
    850 = 850
  3. Calculate Minimum Reach
    Minimum Reach
    0 = 0
  4. Calculate Workspace Area
    Workspace Area
    2143700.65 = 2143700.65

Engine last updated . Checked against 1 independently-derived test — how we verify calculators.

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