#3d-printing

Stepper-motor motion maths as an API, computed locally and deterministically — the steps-per-millimetre and speed numbers a 3D-printer, CNC or robotics builder configures a machine with. The leadscrew endpoint gives the steps per mm for a lead-screw or ball-screw axis: (motor steps per revolution × microstepping) ÷ the screw lead, so a 1.8° motor (200 steps) at 16 microsteps on an 8 mm-lead screw is 400 steps/mm with 2.5 µm of resolution — the value that goes straight into the firmware. The belt endpoint does the same for a belt-and-pulley axis, where the travel per motor turn is the pulley teeth × the belt pitch (GT2 belt = 2 mm), so a 20-tooth GT2 pulley gives the classic 80 steps/mm of a 3D-printer X/Y axis, and shows the speed-versus-precision trade of a bigger pulley. The speed endpoint turns a steps-per-mm and a step pulse rate into the axis speed in mm/s and mm/min — at 80 steps/mm a 40 kHz step rate is 500 mm/s, though the real limit is the motor stalling at high step rates and the controller pulse ceiling. It also notes that microstepping adds smoothness, not true accuracy, since torque per microstep falls. Everything is computed locally and deterministically, so it is instant and private. Ideal for 3D-printer and CNC firmware setup, motion-control and robotics tools, and maker calculators. Pure local computation — no key, no third-party service, instant. Ideal-geometry estimates — leave a margin below the theoretical top speed. 3 compute endpoints. For CNC surface finish use a CNC-finish API; for gear ratios a gear-ratio API.

api.oanor.com/steppermotor-api

3D-printing filament maths as an API, computed locally and deterministically. The length-weight endpoint converts between the length and the weight of a spool of filament from its diameter (1.75 mm or 2.85 mm) and material density, using weight = (π/4·d²·length)·density — so one metre of 1.75 mm PLA weighs about 2.98 g, a standard 1 kg PLA spool holds roughly 335 m, and the same weight of the lighter ABS gives about 400 m. The cost endpoint computes the filament cost of a print from the weight or length used and the price per kilogram, and the spool-remaining endpoint turns a remaining-weight measurement (weigh the spool, subtract the empty-spool weight) into the remaining length so you know whether a job will finish. Built-in densities cover PLA, ABS, PETG, TPU, nylon, ASA, PC, HIPS, PVA, wood-fill and carbon-fibre blends, or supply your own. Diameters are in millimetres, lengths in metres and weights in grams. Everything is computed locally and deterministically, so it is instant and private. Ideal for 3D-printing, maker, print-farm, slicer-plugin, prototyping and STEM-education app developers, filament-usage and print-cost tools, and workshop software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is filament geometry and cost; for tank or material volume use a volume API.

api.oanor.com/filament-api