Input application factor |
Symbol |
Unit |
Worm |
Wheel |
Application factor |
KA |
-- |
1.00 |
1.00 |
Input cooling conditions |
Symbol |
Unit |
Worm |
Wheel |
Highest allowed oil temperature |
θL |
°C |
95 |
95 |
Ambient temperature |
θi |
°C |
20 |
20 |
Heat exchange area |
Aca |
m² |
2.9000 |
2.9000 |
Heat exchange coefficient |
kca |
kW/m²° |
0.028 |
0.028 |
Enclosed in housing |
-- |
-- |
yes |
yes |
Cooling ribs on housing |
-- |
-- |
yes |
yes |
Forced ventilation |
-- |
-- |
yes |
yes |
Riding wind on housing |
-- |
-- |
no |
no |
Riding wind velocity |
vai |
m/s |
0.00 |
0.00 |
Desired wear limit |
Symbol |
Unit |
Worm |
Wheel |
Wear limit in tooth thickness |
DsnL |
mm |
0.000 |
0.000 |
Wear limit in mass |
DmL |
kg |
0.100 |
0.100 |
Desired min safety factors |
Symbol |
Unit |
Worm |
Wheel |
Safety thermal overload |
ST |
-- |
-- |
1.00 |
Safety contact stress wheel |
SH |
-- |
-- |
1.00 |
Safety wear on wheel dent |
SW |
-- |
-- |
1.00 |
Safety tooth root strength wheel |
SF |
-- |
-- |
1.40 |
Safety deflection worm shaft |
Sd |
-- |
1.00 |
-- |
Input mating materials |
Symbol |
Unit |
Worm |
Wheel |
Materials mating factor |
WP |
-- |
1.10 |
1.10 |
Material mating test velocity |
vg0 |
m/s |
0.13 |
0.13 |
Calculation of cooling |
Symbol |
Unit |
Worm |
Wheel |
Permissible temperature raise |
θuP |
°C |
63.6 |
63.6 |
Heat exchange surface area |
Aca |
m² |
2.9000 |
2.9000 |
Heat exchange coeffcient |
kca |
kW/m²° |
0.0276 |
0.0276 |
Heat exchange flow |
Qab |
kW |
5.091 |
5.091 |
Total power loss |
PV |
kW |
4.953 |
4.953 |
Safety factor thermal overload |
ST |
-- |
1.03 |
1.03 |
Calculation contact stress |
Symbol |
Unit |
Worm |
Wheel |
Elasticity factor |
ZE |
/N/mm |
152.50 |
152.50 |
Worm diameter ratio |
d1/a |
-- |
0.33 |
-- |
Contact factor |
Zρ |
-- |
2.979 |
2.979 |
Calculated contact stress |
σH |
N/mm² |
-- |
241.8 |
Effective service life |
Lhc |
h |
-- |
25000 |
Life factor |
Zh |
-- |
-- |
1.000 |
Load cycles factor |
Zn |
-- |
-- |
0.805 |
Endurance contact stress |
σHlim |
N/mm² |
-- |
733 |
Permissible contact stress |
σHP |
N/mm² |
-- |
590 |
Safety factor contact stress |
SH |
-- |
-- |
2.44 |
Calculation wear stress |
Symbol |
Unit |
Worm |
Wheel |
Projected tooth face area worm |
Ap2 |
mm² |
-- |
1280 |
Tooth wear surface area wheel |
Az2 |
mm² |
-- |
1372 |
Wear loss limit in mass |
Dmlim |
kg |
-- |
0.100 |
Number of load cycles |
NL |
Mcy |
-- |
56.250 |
Wear endurance stress |
σWlim |
N/mm² |
-- |
82.5 |
Wear roughness factor |
WR |
-- |
-- |
0.99 |
Wear friction velocity |
vg1 |
m/s |
-- |
6.59 |
Wear velocity factor |
Wv |
-- |
-- |
3.14 |
Permissible wear stress |
σWP |
N/mm² |
-- |
281.2 |
Safety factor wear on wheel |
SW |
-- |
-- |
1.16 |
Calculation tooth root strength |
Symbol |
Unit |
Worm |
Wheel |
Face width at tooth root |
b2 |
mm |
-- |
70.00 |
Transverse tangential force |
Ft2 |
kN |
-- |
21.237 |
Calculated tooth root stress |
σF |
N/mm² |
-- |
29.1 |
Alternating load factor |
YA |
-- |
-- |
1.00 |
Endurance tooth root stress |
σFlim |
N/mm² |
-- |
225.0 |
Permissible tooth root stress |
σFP |
N/mm² |
-- |
225.0 |
Safety factor tooth root strength |
SF |
-- |
-- |
7.73 |
Calcul worm shaft deflection |
Symbol |
Unit |
Worm |
Wheel |
Area moment worm shaft |
I1 |
mm^4 |
2352140 |
-- |
Calculated deflection worm shaft |
fm |
mm |
0.035 |
-- |
Permissible deflection worm shaft |
fmP |
mm |
0.042 |
-- |
Safety fact worm shaft deflection |
Sd |
-- |
1.21 |
-- |