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Page 295

Sheave Size & Wire Rope Strength


Strength Efficiency
Bending wire rope reduces its strength.  To account for the effect of bend radius on wire rope strength when selecting a sheave, use the table below:


Ratio A

Strength Efficiency
Compared to Catalog Strength in %

40

95

30

93

20

91

15

89

10

86

8

83

6

79

4

75

2

65

1

50

 

Ratio A =

Example:
To determine the strength efficiency of 1/2" diameter wire rope using a 10" diameter sheave:

Ratio A =

= 20

Refer to ratio A of 20 in the table then check the column under the heading "Strength Efficiency Compared to Catalog Strength in %"...91% strength efficiency as compared to the catalog strength of wire rope.



Fatigue Life

Repeated bending and straightening of wire rope causes a cyclic change of stress called “fatiguing.” Bend radius affects wire rope fatigue life.  A comparison of the relative effect of sheave diameter on wire rope fatigue life can be determined as shown below:


Ratio B

Relative Fatigue
Bending Life

30

10.0

25

6.6

20

3.8

18

2.9

16

2.1

14

1.5

12

1.1

 

Ratio B = 
Example
To determine the extension of fatigue life for a 3/4" wire rope using a 22.5" diameter sheave versus a 12" diameter sheave:

 

Ratio B =

= 30

Ratio B =

= 16

 

The relative fatigue bending life for a ratio B of 16 is 2.1 (see above Table) and ratio B of 30 is 10.

Relative Fatigue
Bending Life

=      

= 4.7 

 

Therefore, we expect extension of fatigue life using a
22.5" diameter sheave to be 4.7 times greater than that of a 12" diameter sheave.

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