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18.4 Strength Of Plastic Spur Gears
  
In the following text, main consideration will be given to Nylon MC901 and Duracon M90, However, the basic equations used are applicable to all other plastic materials if the appropriate values for the factors are applied.
18.4.1 Bending Strength of Spur Gears 
  Nylon MC901
     The allowable tangential force F (kgf) at the pitch circle of a Nylon MC9O1 spur gear can be obtained from the Lewis formula.
      F = myb
sbKv (kgf)                         (18-1)
where:
m = Module (mm)
y = Form factor at pitch point (see Table 18-15)
b = Teeth width (mm)

sb = Allowable bending stress (kgf/mm²) (see Figure 18-1)
Kv= Speed factor (see Table 18-16)

Table 18-15    Form Factor, y

Number of teeth Form Factor
14.5º 20ºStandardTooth 20ºStubTooth
12
 14 
16
 18 
 20 
22
24
 26 
28
 30 
 34 
38
40
50
60
75
 100
 150
 300
    Rack 
0.355
0.399
0.430
0.458
0.480
0.496
0.509
0.522
0.535
0.540
0.553
0.565
0.569
0.588
0.604
0.613
0.622
0.635
0.650
0.660
0.415
0.468
0.503
0.522
0.544
0.559
0.572
0.588
0.597
0.606
0.628
0.651
0.657
0.694
0.713
0.735
0.757
0.779
0.801
0.823
0.496
0.540
0.578
0.603
0.628
0.648
0.664
0.678
0.688
0.698
0.714
0.729
0.733
0.757
0.774
0.792
0.808
0.830
0.855
0.881

Table 18-16   Speed Factor, KV

Lubrication Tangential Speed (m/sec) FactorKv
Lubricated Under 12
Over 12
1.0
0.85
Unlubricated Under 5
Over 5
1.0
0.7
Duracon M90 
   The allowable tangential force F (kgf) at pitch circle of a Duracon M90 spur gear can also be obtained from the Lewis formula.
      F = myb
sb (kgf)                              (18-2)

where:
m = Module (mm)
y = Form factor at pitch point (see Table 18-15)
b = Teeth width (mm)

sb = Allowable bending stress (kgf/mm²)

The allowable bending stress can be calculated by Equation (18-3):

where:
  
sb' = Maximum allowable bending stress under ideal condition (kgf/mm²) (see Figure 18-2)
   Cs = Working factor (see Table 18-17)
   Kv = Speed factor (see Figure 18-3)
   KT = Temperature factor (see Figure 18-4)
   KL = Lubrication factor (see Table 18-18)
   KM = Material factor (see Table 18-19)

 

Table 18-18 Lubrication Factor. KL
Lubrication KL
Initial Grease Lubrication 1
Continuous Oil Lubrication 1.5-3.0
Table 18-19 Material Factor, KM
Material Combination KM
Duracon vs. Metal 1
Duracon vs. Duracon 0.75

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