### Gear Measurement

Calculation of the diameter of measuring pins **d**_{M} for the worm and the diameter of measuring balls **d**_{B}
for wormwheel. Input of rounded diameter values, but they have to be as close as possible to the calculated values.

The application calculates: mean normal chordal thickness with tolerance in ± notation, diametral dimension over three pins **M**_{d1}
for the worm, diametral dimension over two balls **M**_{d2} for wormwheel with respective tolerance. The backlash to
exspect is also calculated. The the measuremnt sheet is to compose with options to select with check boxes. A composition can
be stored as default for the next calculations.

### Materials for worm and wormwheels

The application provides a dialog box for management of materials for gears. According the standard ISO 6336-5
the contact stress limit value and bending stress limit value are to determine in function of the tooth flank hardness using an
equation of straight line **σ**_{H,F} = Ax + B where x stands for the hardness, A is the slope coefficient and B
is the segment on y-axis. The data for wormwheel materials are derived from the text book Niemann-Winter Maschinenelemente Band III.
Input for a worm gear pair requires input of material
separately for worm and wormwheel, the material quality grade and the hardness of tooth flank. With the equation of the straight line
the contact stress limit value **σ**_{Hlim} and the bending stress limit value **σ**_{Flim}
are determined in function of the tooth flank hardness.

### Load

Input of worm gear load with one of the following combinations:

- Power at worm
**P**_{1} and rotational speed of worm **n**_{1}
- Torque at worm
**T**_{1} and rotational speed of worm **n**_{1}
- Torque at wormwheel
**T**_{2} and rotational speed of wormwheel **n**_{2}

Input with dialog:

### Bearing Points

Input of cylindrical coordinates of bearing points **A** and **B** and mesh point **X** with following dialog box:

### Worm Gear Forces

Calculation of transverse tangential force **F**_{t}, the radial force **F**_{r} and the axial force
**F**_{x} in mesh point and the reaction forces in the supports. Self jamming is checked by the application.
Table with results of calculation in following window for example:

With a mouse click, the results of the calculation can be exported in a text- or a html file. To have a look at the
forces calculation report, click on Calculation Report Forces to open it in a blank page.

Go to next web page for load carrying capacity.