T-149
In the general case when the shaft angle is
not 90°, as in Figure 16-15, the driver screw
gear has the same forces as for a worm mesh.
These are expressed in Equations (16-24).
Fu1 = Fn(cosancosb1 + m sinb1)
ü
ï
ï
Fa1 = Fn(cosansinb1 m cosb1)
ý (16-24)
ï
ï
Fr1 = Fn sinan
þ
Forces acting on the driven gear can be
calculated per Equations (16-25).
Fu2 = Fa1 sinS + Fu1 cosS
ü
ï
ï
Fa2 = Fu1 sinS Fa1cosS
ý (16-25)
ï
ï
Fr2 = Fr1
þ
I f
t h e
S t e r m i n
Equation (16-25) is 90°, it
b e c o m e s
i d e n t i c a l
t o
Equation (16-20). Figure
16-16 presents the direction
of forces in a screw gear
mesh when the shaft angle
S = 90° and b1 = b2 = 45°.
Fig. 16-15 The Forces in a Screw Gear Mesh
Fig. 16-16 Directions of Forces in a Screw Gear Mesh
Fa2
Fa1
Fu2
Fu1
b1
b2
S
I
I
II
II
Pinion as Drive Gear
Gear as Driven Gear
I Right-Hand Gear
Pinion as Drive Gear
Gear as Driven Gear
II Left-Hand Gear
Fa2
Fa1
Fu1
Fa2
Fu2
Fu2
Fr2
Fa1
Fu1
Fr2
Fr1
Driver
Fr1
Fa2
Fa1
Fu1
Fu2
Fu2
Fr2
Fa1
Fu1
Driver
Fr1
Fr1
Fr2
Fa2