Move Time — Gantry Long Travel
Trapezoidal/triangular profile time for a gantry long travel from distance, speed cap and acceleration.
Long gantry strokes are pure cruise — a 4 m move spends 80% of its time at constant velocity, so rail speed IS throughput. This is the opposite economy of the arm tasks above; here a 3 m/s axis genuinely beats a 2 m/s one by a third.
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.
Trapezoidal/triangular profile time for a gantry long travel from distance, speed cap and acceleration. A free industrial robot kinematics & cell design tool — no sign-up, no upload, instant results in your browser.
About Move Time — Gantry Long Travel
Move Time — Gantry Long Travel computes the governing relationship t = d/v + v/a (trapezoid) · t = 2√(d/a) (triangle, if d < v²/a) live as you type. Long gantry strokes are pure cruise — a 4 m move spends 80% of its time at constant velocity, so rail speed IS throughput. This is the opposite economy of the arm tasks above; here a 3 m/s axis genuinely beats a 2 m/s one by a third. 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 Move Time — Gantry Long Travel
- 1Enter your values — Move distance, Speed limit, Acceleration, Settle time (sensible defaults are pre-filled).
- 2Read the live results: Move time, Peak speed reached, Moves per minute.
- 3Check the "with your numbers" line to see t = d/v + v/a (trapezoid) · t = 2√(d/a) (triangle, if d < v²/a) substituted step by step.
- 4Adjust inputs until the scenario matches yours, then copy or share the result.
Why use Move Time — Gantry Long Travel?
- ✓Instant, free and private — every calculation runs client-side in your browser; nothing is uploaded
- ✓Built on the stated formula t = d/v + v/a (trapezoid) · t = 2√(d/a) (triangle, if d < v²/a) with authoritative sources cited on the page (Siciliano & Khatib (eds.), Springer Handbook of Robotics, 2nd ed.; Biagiotti & Melchiorri, Trajectory Planning for Automatic Machines and Robots)
- ✓Long gantry strokes are pure cruise — a 4 m move spends 80% of its time at constant velocity, so rail speed IS throughput.
- ✓SI ⇄ Imperial toggle converts your inputs in place, so you can work in the units your drawings use
Frequently asked questions
What formula does the move time — gantry long travel use?+
It evaluates t = d/v + v/a (trapezoid) · t = 2√(d/a) (triangle, if d < v²/a), exactly as published. Sources: Siciliano & Khatib (eds.), Springer Handbook of Robotics, 2nd ed.; Biagiotti & Melchiorri, Trajectory Planning for Automatic Machines and Robots. 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?+
Long gantry strokes are pure cruise — a 4 m move spends 80% of its time at constant velocity, so rail speed IS throughput. 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?+
Trapezoidal/triangular profile time for a gantry long travel from distance, speed cap and acceleration. A free industrial robot kinematics & cell design tool. This is the opposite economy of the arm tasks above; here a 3 m/s axis genuinely beats a 2 m/s one by a third. For neighbouring scenarios, the related tools below cover the same engine with different presets.
Does it support both metric and imperial units?+
Yes — the SI ⇄ Imperial toggle converts the values already in the fields, preserving the physical quantity, so you can flip mid-calculation without re-entering anything.
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