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Symbol and grade Over 1 Up to 3 With large D10 +60 min clearance +20 With medium E7 +24 minimum +14 clearance E8 +28 +14 With small F7 +16 minimum +6 clearance F8 +20 +6 With smallest G7 +12 min clearance +2 H6 +6 0 H7 +10 0 H8 +14 0 H9 +25 0 H11 +60 0 J6 +2 4 J7 +4 6 K6 0 6 K7 0 10 Secure M6 2 against 8 turning M7 2 12 N6 4 10 N7 4 14 Interference P7 6 fit-holes 16 P9 6 31 h5 0 4 h6 0 6 Basic shaft h8 0 14 h9 0 25 h11 0 60
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For a bearing system that is properly maintained and isolated from dirt particles, the only source of failure is the fatigue effect The bearing life is usually indicated as the number of revolutions of the shaft or the number of hours of use at a standard angular speed until the first tangible sign of fatigue On the other hand, the rating life defines the number of revolutions that 90% of a common group of bearings will achieve before failing [4] The life of rolling element bearings varies inversely with approximately the third power of the radial load as follows:
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1 L Fr 1/a = constant FrL From various tests that are conducted by researchers worldwide, the value of a is agreed to be 3 for ball bearings and 10/3 for roller bearings However, most manufacturers prefer to use a value of 10/3 and the preceding relationship is modified as [13]
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C 3 L = LR Fr
3 10
L 10 Creq = Fr LR where L is the life corresponding to radial load Fr, or life required by the application, LR, the life corresponding to rated capacity of 9 107 revolutions, C, the rated capacity (can be obtained from manufacturers tables), Creq, the required value of C for the application and Fr is the radial load involved in the application From this relationship, it can be seen that doubling the load on a bearing reduces its life by a factor of about 10 Certain manufacturer s catalogues use different values of LR such as 106 revolutions It is also noted that the foregoing equations do not take into consideration several factors that may be crucial for certain applications The influence of the reliability, axial loads and shock loading should also be considered before the bearing life can be accurately predicted The influence of reliability is taken into account by considering the median life which is the 50th percentile life of a group of bearings The median life of rolling element bearings is about five times the standard 10% failure fatigue life The rating life or minimum life, L10, corresponds to 10% failures This indicates that bearings have a reliability of up to 90% Thus, the life for 50% reliability is five times the life for 90% reliability In order to make this adjustment, Figure 613 provides the life adjustment reliability factor Kr for both ball and roller bearings The rated bearing life for any given reliability greater than 90% is thus the product of Kr and LR C 3 L = K r LR Fr
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Fig 613: The reliability factor, Kr, for ball and roller bearings [13]
L 10 Creq = Fr K r LR In order to consider the influence of the axial load, the radial load, Fr, and the thrust load, Ft, are combined to give a pure radial equivalent load, Fe, that is used to approximate the life of the bearing The pure radial equivalent load also considers the contact angle, and this results in the following set of equations: Radial ball bearings with an angle of contact, a = 0
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