Wire Ropes Under Bending and Tensile Stresses - Wire Ropes: Tension, Endurance, Reliability - page 299

Then the adjusted (with the endurance factor f N ) discard number of combined
fluctuating and bending cycles is

This and the other discarding and breaking numbers of combined bending
cycles are

Number of reverse bending cycles:
According to ( 3.89 ) and Table 3.16 the adjusted discard number, at which with
95 % certainty not more than 10 % of the ropes have to be discarded, is

This and the other discarding and breaking numbers of reverse bending cycles

are

Example 3.8 Limits

Data:
from Example 3.7
Donandt force S D1 :
According to Table 1.10 , the minimum breaking force is F min = 698d 2 = 179 kN.
With ( 3.71 ) and Table 3.17 for simple bending the Donandt force is

and according to ( 3.72 ) for reverse bending the Donandt force is

Both of the Donandt forces are—as they should be—greater than the rope
tensile force S = 30 kN.
Rope Safety Factor