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Z A R 2

Software for Cyclo-palloid Spiral Bevel Gear Calculation acc. Klingelnberg/DIN 3991

Copyright 1993-2019 by HEXAGON Software, Berlin

Calculation Base

ZAR2 calculates all dimensions of bevel gears with cyclo palloid gearing in accordance with Klingelnberg, and the safety margins against root fatigue fracture, pitting and scoring in accordance with DIN 3991.

Quick Input

Quick Input provides input of all dimensions, load, material, speed, parameters for strength, lubrication, application and manufacturing in one dialog window, with calculation and display results as tables, drawings, diagrams.


In pre-dimensioning ZAR2 makes recommendations for the size of the bevel wheel, face width, modulus and number of teeth based on the axes angle, gear ratio, pinion speed and torque.


The pre-dimensioning values can be used in the geometry calculation. The normal modulus can be calculated from the cutter modulus or reverse. The program also supports an angle correction if this is necessary, likewise the strength matching of pinion and disk gear via tooth thickness variation. ZAR2 calculates the minimum addendum modification for the pinion and the addendum modification factors for same specific sliding. All dimensions and contact ratios are calculated. ZAR2 determines the permissible deviations in accordance with DIN 3965 from the toothing quality.

Material Data Base

A data base is already included in the program containing the most important gearing materials and their values.

Strength Calculation

The safety margins against root fatigue fracture, pitting and seizure are determined in the strength calculation according to DIN 3991. The factors can be modified manually.

Tooth Forces

Axial and radial forces for push/pull operation are calculated. These values can be transfered to the shaft calculation programs WL1+.

CAD Interface

A scale drawing of the calculated bevel gears can be exported to CAD via the DXF or IGES interfaces.

Production Drawing

ZAR2 generates production drawings with ISO 7200 data field of bevel wheel and pinion, ready for printout or CAD.

HEXAGON Help System

As with all HEXAGON programs ZAR2 can provide you with a help text and auxiliary picture for each input. Help texts and auxiliary pictures can be modified and appended by the user as required. When error messages occur you can have a description and remedy suggestion displayed.

Hardware and Software Requirements

ZAR2 is available as 32 bit and 64 bit application for Windows 10, Windows 8, Windows 7.

Scope of Delivery

CD-ROM or zip file with program files and pdf manual, License agreement for an indefinite period of time.

Information and Update Service

HEXAGON Software is continuously improved and updated. Licensed users can obtain new versions at the update price. Each program is provided with an individual license number and user files. No extra charge is made to registered users for telephonic support and hotline use.


HEXAGON guarantees for a period of 24 months that the software will fulfil the functions described.

Download ZAR2 Demo for Windows (694 kB)

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