Assembly example: timing-belt axis
A combined example for a timing-belt axis (suited to long strokes at high speed): the same problem flows through four selection steps using each step's standard formula.
How to use
- Enter the calculation conditions
Enter the dimensions, loads, speeds or operating conditions requested by the form.
- Run the calculation
The tool applies the formulas shown on this page to the entered values.
- Review the result
Review the resulting specification and checks, then verify them against the cited source, current standard and real operating conditions before use.
Core formula
Dp=z·p/π; N=v·60/(π·Dp); Te=F+m·a; L=(C/(fw·P))³·50; T=(F·(Dp/2)/η/N + J·n/(9.55·t₁))·Sf
Example using default values
m=30 kg, v=500 mm/s, p=5, z=30 → Dp≈47.7 mm, N≈200 rpm, Te≈90 N, T≈4.39 N·m
Source: THK/HIWIN (LM guide); Oriental Motor Sizing (motor); timing-belt tooth pitch per JIS/maker; KTR/NBK (coupling).
Frequently asked questions
When choose a timing belt over a ball screw?
Timing belts suit long strokes and high speeds (no critical-speed/buckling limit like a screw), are lighter and cheaper; in return, stiffness, positioning accuracy and axial load capacity are lower than a ball screw.
Why check teeth in mesh?
The load is carried by the teeth currently in mesh on the drive pulley; too few overloads each tooth and risks skipping/wear. A common rule is ≥ 6 teeth in mesh; with ~180° wrap that is roughly z/2.
What is the effective tension Te for?
Te = the force to push plus accelerate the load (F + m·a); use it to pick belt width/type so the belt's allowable tension (catalog) ≥ Te with a safety factor. Tooth count, stiffness and fatigue still come from the catalog.
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