T-140
The directions of forces
acting on a helical gear mesh
are shown in Figure 16-4.
The axial thrust sub-compo-
nent from drive gear, Fa1,
equals the driven gear's, Fa2,
but their directions are op-
posite. Again, this case is the
same as tangential compo-
nents Fu1, Fu2 and radial com-
ponents Fr1, Fr2.
16.3 Forces In A Straight
Bevel Gear Mesh
The forces acting on a
straight bevel gear are shown
in Figure 16-5. The force
which is normal to the central
part of the tooth face, Fn, can
be split into tangential com-
ponent, Fu, and radial com-
ponent, F1, in the normal
plane of the tooth.
Fu = Fn cosa
ü
ï
ý (16-5)
ï
F1 = Fn sina
þ
Again, the radial compo-
nent, F1, can be divided into
an axial force, Fa, and a radial
force, Fr , perpendicular to the
axis.
Fa = F1 sind
ü
ï
ý (16-6)
ï
Fr = F1 cosd
þ
And the following can be
derived:
Fa = Fu tanan sind ü
ï
ý (16-7)
ï
Fr = Fu tanan cosd þ
Fig. 16-5 Forces Acting on a
Straight Bevel Gear Mesh
F1
Fn
Fu
a
d
d
F1
Fr
Fa
Right-Hand Pinion as Drive Gear
Left-Hand Gear as Driven Gear
I
Left-Hand Pinion as Drive Gear
Right-Hand Gear as Driven Gear
II
Fr1
Fa2
Fr1
Fr1
Fr1
Fa1
Fu1
Fr2
Fa2
Fu2
Fu2
Fr2
Fa1
Fu1
Fa1
Fa2
Fu1
Fr2
Fa1
Fu2
Fu2
Fr2
Fa2
Fu1
Fig. 16-4 Directions of Forces Acting on a
Helical Gear Mesh