Robot Work Volume Visualizer — Cartesian, Cylindrical, Spherical, Articulated & SCARA | Piyush Wairale

GATE Robotics & Automation · CIM · Robot anatomy

Five arms, five work volumes.
Drag the geometry, watch the envelope.

Every industrial robot's reachable space follows from three things: which joints are prismatic, which are revolute, and how far each one travels. Set those below and the plan and elevation views redraw from the actual geometry — the work volume printed on the right is integrated from what you see, not looked up.

Cartesian

Orthographic views · not to scale
Plan — top viewX–Y
Plan view of the robot work envelope
Elevation — side viewR–Z
Elevation view of the robot work envelope

Work envelope Arm links Tool centre point

Cartesian

Rectangular / gantry

Work volume

Geometry & joint limits

These set the envelope. Change them and the shaded region changes.

Joint variables — current pose

These move the arm inside the envelope. The tool point never leaves it.

Why engineers pick it

    Where it falls down

      Typical applications

        Exam notes

          The five configurations, side by side

          Notation matters in the exam. P/R describes the joint type; Groover's letters describe the motion the joint produces, which is why cylindrical and SCARA look identical in P/R but not in Groover.

          Repeatability figures are indicative of general-purpose industrial arms and vary widely with payload, reach and vendor. Volume formulas assume idealised envelopes with symmetric joint limits.
          Configuration P/R Groover Envelope shape Work volume Repeatability Defining trait Main limitation

          Check yourself

          Eight questions in the style GATE asks them — configuration identification, envelope geometry and one numerical.

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