Backlash Calculations pg 2

TABLE 3.2 BACKLASH EXAMPLE CALCULATIONS
  Maximum Backlash (Radial Value)
Mesh 1 Mesh 2 Mesh 3 Mesh 4
Backlash Source Design Data: Gear Pinion Gear Pinion Gear Pinion Gear Com-
ponenet
Pinion
Shaft No.
Pitch Dia.
S-1
3.333
S-2
.4167
S-2
1.250
S-3
.2812
S-3
1.250
S-4
.2656
S-4
.9375
S-5
.1562
Group I.  Design Backlash Allowance
*1. Center Distance allowance
2. Gear size allowance
0
0
-
0
0
0
-
0
0
.0005
-
.0005
0
.0005
-
.0005
Group II.  Major Tolerance
*1. Center distance
2. Gear size
.001
.0007
-
.0007
.002
.0012
-
.0012
.002
.0015
-
.0015
.002
.0015
-
.0011
Group III.  Secondary Sources
1. Fixed - bearing eccentricities:
    a. Ball-bearing fixed race
    b. Sleeve - bearing runout
2. Radial clearances:
    a. Ball - bearing radial play.
    b. Clearance: Shaft and bearing bore
        (1) Shaft diameter tolerance
        (2) Bearing bore tolerance
        (3) Allowance
    c. Clearance: Bearing OD and housing bore
        (1) Bearing OD tolerance
        (2) Housing bore diameter tolerance.
        (3) Allowance
3. Component error sources:
    a. Clearance: component mounting
        (1) Component - mounting pilot dia. tolerance.
        (2) Housing - mounting bore dia. tolerance
        (3) Allowance
    b. Component's mounting pilot eccentricity
    c. Component mounting pilot flatness and perpendicularity. 
    d. Component shaft radial play



.0001

.0003

.0001
.0001
.00005

.0001
.00015
0



.0001

.0003

.0001
.0001
.00005

.0001
.00015
0


.0001

.0003

.0001
.0001
.00005

.0001
.00015
0


.0001

.0003

.0001
.0001
.00005

.0001
.00015
0


.0001

.0003

.0001
.0001
.00005

.0001
.00015
0


.0001

.0003

.0001
.0001
.00005

.0001
.00015
0


.0001

.0003

.0001
.0001
.00005

.0001
.00015
0











.00025
.00025
.00015

.0005

.0005
Group IV.  Sources Variable with
Rotation (one - half total value)
1. Total composite error
    a. Runout
    b. Tooth-to-tooth composite
2. Clearance: Gear mounting to shaft
    a. Gear bore diameter tolerance
    b. Shaft diameter tolerance
    c. Allowance
3. Shaft runout at gear mounting
4. Ball - bearing rotating - race eccentricity
5. Miscellaneous runouts
    a. Component shaft
    b. Composite gear assembly
6. Other Sources
.00015
.0001
.00005
.0001

.0001
.00015
.0001
.00005
.0001

.0001
.00015
.0001
.00005
.0001

.0001




.0001
.00015
.0001
.00005
.0001

.0001




.0001
.00015
.0001
.00005
.0001

.0001




Group V. Miscellaneous Sources
1. Thermal
2. Deflections
3. Other sources
               

Sub - Total

.0031 .0021 .0046 .002 .0054 .0030 .0054 .00325

Mesh Total

.0052 .0068 .0084 .00865

   *These are values for a pair and are arbitrarily put into gear columns. 

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