BEVEL GEARS
CALCULATION REPORT
Order Dware
Project Demo BevGear
Subproject Spiral bevel gear set
Project item Gleas FM ISO 23509 page 79
Pinion ID z1 = 14
Gear ID z2 = 39
Calculated by André Dewispelaere
Organization Dware
Date 26/09/2023

Bevel gear type Spiral Gleason metric FM

1 1. Bearing point coordinates Symbol Unit Pinion Gear
2 Z coordinate bearing A zA mm 0.00 0.00
3 Z coordinate bearing B zB mm 140.00 220.00
4 Z coordinate action point P zP mm 174.50 37.50
5 Direction angle of action point P φP °.dec 0.0000 180.0000
6 Driver is -- -- Pinion --
7 Spiral hand of driver -- -- left --
8 Rotation hand of driver -- -- right --

1 2. Calculation from geometry Symbol Unit Pinion Gear
2 Action point circle diameter dr mm 54.9 153.0
3 Teeth angle at action point βr °.dec 35.0000 35.0000
4 Teeth direction -- -- left right
5 Element is -- -- driver driven
6 Direction of rotation -- -- right left
7 Distance bearing A-bearing B lAB mm 140.0 220.0
8 Distance bearing A-action point P lAP mm 174.5 37.5
9 3. Forces at action point P Symbol Unit Pinion Gear
10 Axial factor c1 -- 0.8092 0.1816
11 Radial factor c2 -- 0.1816 0.8092
12 Coefficient axial force μ -- -1 -1
13 Coefficient tangential force ν -- -1 -1
14 Coefficient radial force ξ -- -1 -1
15 Coefficient teeth angle κ -- 1 -1
16 Tang force at action point P FtP kN -11.713 -11.713
17 Radial force at action point P FrP kN -2.127 -9.478
18 Axial force at action point P FzP kN -9.478 -2.127
19 4. Reaction forces in bearing A Symbol Unit Pinion Gear
20 x-Component FxA kN 1.334 -8.602
21 y-Component FyA kN -2.886 -9.717
22 Resultant force FrA kN 3.179 12.977
23 Direction of resultant force φrA °.dec -65.1911 -131.5167
24 5. Reaction forces in bearing B Symbol Unit Pinion Gear
25 x-Component FxB kN 0.793 -0.876
26 y-Component FBy kN 14.600 -1.997
27 Resultant force FrB kN 14.622 2.181
28 Direction of resultant force φrB °.dec 86.8890 -113.6863
29 6. Axial reaction force in A or B Symbol Unit Pinion Gear
30 z-Component FzA,B kN 9.478 2.127