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Belt reduction to rack and pinion

Calculator 1

Shared inputs

Motor library unverified. Approximate figures from memory, Oct 11, 2026. Verify every row against the vendor sheet.

60 A = 150% of a 40 A breaker

Shock factor is an estimate. It multiplies full stall, the spike a current limit cannot catch. Shaft is fixed at 1/2 in hex.

Units

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.

Allowables pending. No verified allowable applies yet, so this is not a pass or a fail.

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How this works

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.

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

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

Estimates for learning. Losses are ignored. Verify the numbers before relying on them.

Mechanism guide