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Belt reduction to rack and pinion

Guide 1

The scrimmage failure: a NEO with a 15T pulley, 9 mm belt to a 32T printed pulley on 1/2 in hex, driving two 32T pinions on a rack. At a 60 A limit the 32T pulley sees about 3.1 N·m, and its printed hex bore still rounded out.

Belt tension is the same at both pulleys; torque is not. That is why the bigger pulley is where the bore fails.

Where the load goes — and where it fails

NEO at a 60 A current limit, slide jammed. Imperial first, metric in parentheses.

Motor: 1.1 ft·lbJam: 3.8 ft·lb(1.45 N·m @ 60 A)32T: 2.3 ft·lbJam: 8.2 ft·lb(3.1 N·m) — 2.13x27 lbfJam: 98 lbf(120 N) tensionNEO · 15Ttight side32T on ½ in hexhex bore → see zoom
Inside the 32T bore (zoomed)½ in hex31 lbf on each cornerJam: 112.4 lbf per corner(140 N) × 6 contact patchesPrinted bore crushes and rounds out
Top view: shaft → pinions → rack32T in32T pinion32T pinion17 lbf(77 N)17 lbf(77 N)35 lbf pushJam: 122.8 lbf(155 N) total, 20 DPrackrack
appliedcalculatedwatchfailure point

Losses ignored; steady stall at the current limit. A sudden jam spikes higher — see the shock factor in the calculator.

Open in calculator →

Stall torque flows down the chain; every joint gets a check

  • Inputs
  • Joint
  • Calc
  • Check
  • Motor type and quantity
  • Current limit (A)

Motor

  • Motor torque at limit and stall
  • Free speed (rpm)
  • Calc
  • Teeth
  • Belt pitch, HTD 5 mm or GT2 3 mm

Drive pulley

  • Pitch radius
  • Teeth in mesh
  • Calc
  • Width, 9 or 15 mm
  • Tensioner, yes or no

Belt

  • Belt tension vs allowable
  • Skip risk at the jam spike
  • Check
  • Teeth
  • Material, aluminum or printed

Driven pulley

  • Hex bore corner force
  • Pass or fail for the material
  • Check
  • Length between pinions
  • Steel or aluminum

1/2 in hex shaft

  • Shaft torque
  • Twist end to end
  • Calc
  • Teeth and pitch
  • Material and bore type

Pinions

  • Tooth force per pinion
  • Pinion bore check
  • Check
  • Moving mass
  • Shock factor

Rack and slide

  • Push force at stall
  • Slide speed
  • Calc

What it teaches

Torque multiplies through a reduction, and the joint with the smallest contact area fails first, not the most obvious part.

Session hook

Students predict which joint fails first, run the numbers, then turn a printed hex pulley on a torque wrench until it rounds out.

Open in calculator →