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Software for Face Splines (Hirth axial spline)

(C) Copyright 2018-2024 by HEXAGON, Kirchheim, Berlin, Neidlingen

Calculation of Face Splines (Hirth Axial Splines)

WN12 calculates dimensions and strength of Hirth face splines. WN12 calculation ist not restricted to 60 deg tooth gap angle. Input dimensions are inner and outer ring diameter, number of teeth, tooth root fillet, tip clearance, and tooth gap angle.

WN12 calculates pressure area, permissible flank pressure and safety coefficient from torque, axial preload and material data.

WN12 generates drawings (2D and 3D) that can be used with CAD. A model with face spline can be produced with 3D printer by means of a STL file generated by WN12.


Standard dimensions and sizes can be loaded from database, or you enter dimensions for self-defined face splines directly.

Database Dimensions

Database provides standard rings with Hirth face spline of external diameter 50 mm until 900 mm. Database may be modified and extended by user.

Material Database

The material database includes material data of 900 steel and non-iron materials.

You can select material from database or input material data directly.

Strength Calculation

From peak torque, axial preload, material data and load distribution factor, WN12 calculates flank pressure and safety coefficient.

Calculation Sheet

Cause no ISO standard exists for face splines until now, WN12 displays a screen with terms and formulas used for calculation.

Quick View

Quick View shows face spline drawing and tables with essential dimensions and calculation results on one screen.

Text Output

Input data and calculation results may be printed, saved as text file or HTML file, or exported to MS Excel via OLE interface.

Drawings and Tables

WN12 generates true-scale drawings of the face spline to be printed or loaded into CAD. Also tables with dimensions and calculation results.

Production Drawing

A table drawing with A4 drawing header according to ISO 7200 includes profile drawings and tables with dimensions of the face spline. Production drawing may be printed direcly, or exported to CAD via DXF or IGES interface.

STL-Model for 3D Printer

A 3D STL model of the face splined rings is generated by WN12 and can be produced on your 3D printer.

Export Formats


HEXAGON Help System

WN12 provides help text and auxiliary images. Warnings and error messages occur if exceeding a limit. For error messages you can have a description and remedy suggestion.


Units can be switched between metric (mm) and imperial (inches).

System Requirements

WN12 is available as 32-bit app or as 64-bit app for Windows 11, 10, 8, 7.

Scope of Delivery

Program with example applications and help images, user manual (pdf), license agreement for an indefinite period of time.


HEXAGON gives a 24 month guarantee on full functionality of the software. We provide support by email and hotline without extra charge. Registered users will be informed about news and updates.

Download WN12 Demo (0.7 MB)

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