Calculate involute spur gears to DIN 867, export them as STL or DXF and have them 3D printed by Swiss3D in one step.
DIN 867 · ISO 53 · DIN 780 · DIN 6885-1
All values are calculated from the parameters and apply to the exported model.
The 3D gear generator creates parametric spur gears with involute teeth to DIN 867 right in your browser – free of charge and without installation. Module, number of teeth, pressure angle, profile shift, backlash, face width, bore with keyway or D-flat and an optional hub can all be set freely.
The result is a closed, print-ready STL model. For laser cutting, waterjet or milling, the profile is available as DXF. «Get it printed» takes the gear straight into the Swiss3D configurator, where you choose process and material and receive a quote instantly.
The generator uses the basic rack profile of DIN 867: addendum 1.0 · m, dedendum 1.25 · m, root fillet 0.38 · m. The involute is generated analytically from the base circle.
The right choice depends on load, speed and environment. For most functional gears, PA12 made by SLS is the first choice.
Printed gears need clearance. 0.1–0.2 mm at the pitch circle compensates for dimensional deviations without the gearbox rattling.
For FDM, modules from 1 upwards make sense. Finer teeth down to module 0.5 work with SLS or SLA.
Below 17 teeth (α = 20°) the tooth root is undercut and weakened. A positive profile shift fixes this.
A face width of about 6 to 10 · m is a good starting point. Leave at least 2.5 · m of material between bore and tooth root.
The generator calculates involute gears to DIN 867 (metric) with the standard pressure angle of 20° according to ISO 53. Addendum and dedendum factors match the standard values (ha* = 1.0 / hf* = 1.25), the root fillet is 0.38 · m. Alternatively, 14.5° and 25° can be selected.
Each flank is described by 18 points along the true involute, plus root fillet and tip circle. The STL is binary, closed and free of intersections, so it can be printed without repair. The deviation from the ideal contour is well below the accuracy of FDM and SLS.
PLA or PETG (FDM) are suitable for lightly loaded gears and prototypes. For functional parts under load, nylon PA12 via SLS is the first choice: self-lubricating, wear-resistant and dimensionally stable. For high-performance gearboxes, PEEK and metal SLM (stainless steel, titanium) are available.
Yes. «Get it printed» hands the gear straight to the Swiss3D configurator. There you choose process, material and quantity and see price and lead time instantly. «Add to project» places the gear in an existing project, for example next to the other parts of your assembly.
Profile shift moves the basic rack by x · m outwards (positive) or inwards (negative). Positive values thicken the tooth root and prevent undercut on gears with few teeth. At the same time, the centre distance of the gear pair changes; the generator calculates it from the working pressure angle.
Without profile shift, a = m · (z₁ + z₂) / 2. With profile shift, the working centre distance follows from the working pressure angle αw. Switch on «Calculate mating gear»: the generator shows centre distance, ratio and contact ratio and displays both gears in mesh.
STL for 3D printing, DXF with outer contour, bore and hub for laser cutting, waterjet or CNC, and an SVG drawing at a scale of 1:1. For a gear pair, both STL files are delivered as a ZIP.