In the iterative procedure for selecting a ball bearing at location C in Example 11-7, after the first calculation yielded a required C10 of 53.2 kN, an 02-60 mm bearing with C10=55.9 kN and C0=35.5 kN was selected. Using this bearing's C0, a new Y2 factor was interpolated to be 1.84. What was the new calculated equivalent load, Fe?

Correct answer: 3.97 kN

Explanation

Selecting a bearing for combined loads is an iterative process. An initial guess for the equivalent load factors (X, Y) is used to find a required C10. A real bearing is then chosen, and its static rating (C0) is used to find more accurate X and Y factors. The process is repeated until the selected bearing remains consistent.

Other questions

Question 1

According to the American Bearing Manufacturers Association (ABMA) standard, what is the defined failure criterion for a rolling-contact bearing under ideal conditions?

Question 2

The relationship between a bearing's load (F) and its life (L) at a constant reliability is given by the formula FL^(1/a) = constant. What is the value of the exponent 'a' for ball bearings?

Question 3

What is the 'rating life' (also known as L10 life) of a group of nominally identical bearings?

Question 4

A ball bearing is desired to have a life of 5000 hours at 1725 rev/min with a radial load of 400 lbf. The manufacturer's catalog rating life is 1 million revolutions. Assuming a reliability of 90 percent, what is the required catalog load rating, C10?

Question 5

In the Weibull distribution used for rolling-contact bearing reliability, what does the parameter 'x0' represent?

Question 6

When selecting a bearing, an application factor (af) is often used. What is the purpose of this factor?

Question 7

For an angular-contact ball bearing, the equivalent radial load (Fe) is calculated using the equation Fe = XiVFr + YiFa. What does the rotation factor V equal when the inner ring rotates?

Question 8

An SKF 6210 angular-contact ball bearing has an axial load Fa of 400 lbf and a radial load Fr of 500 lbf. The outer ring is stationary. The basic static load rating C0 is 4450 lbf. The bearing table provides the following data: for Fa/C0 = 0.084, e = 0.28 and Y2 = 1.55; for Fa/C0 = 0.110, e = 0.30 and Y2 = 1.45. What is the equivalent radial load Fe?

Question 9

For a bearing subjected to a series of different loads for different fractions of its life, what is the formula for the equivalent steady load (Feq)?

Question 10

What is the primary advantage of using a filling notch in a deep-groove ball bearing?

Question 11

In selecting tapered roller bearings, what is meant by 'indirect mounting'?

Question 12

A design load on a ball bearing is 413 lbf with an application factor of 1.2. The desired life is 30,000 hours at 300 rev/min, with a target reliability of 0.99. The bearing manufacturer's rating life is 1,000,000 revolutions. The Weibull parameters are x0 = 0.02, (θ - x0) = 4.439, and b = 1.483. What is the required catalog rating C10?

Question 13

If two bearings, A and B, are used on a single shaft and the required reliability for the shaft is R, how are the individual bearing reliabilities RA and RB related?

Question 14

What is the primary reason that straight or cylindrical roller bearings have a higher radial load capacity than ball bearings of the same size?

Question 15

Under what condition should grease be used as a lubricant for a rolling-contact bearing instead of oil?

Question 16

What is the main purpose of preloading in a bearing assembly?

Question 17

When mounting bearings on a shaft, which ring is typically mounted with a press fit?

Question 18

Which type of seal is described as being especially effective for high-speed installations and can be used with either oil or grease?

Question 19

What is the recommended life in kilohours (kh) for machines in continuous 24-h service where reliability is of extreme importance?

Question 20

According to Table 11-5, what is the recommended load-application factor for machinery with moderate impact?

Question 21

The relationship between a bearing's load (F) and its life (L) at a constant reliability is given by the formula FL^(1/a) = constant. What is the value of the exponent 'a' for roller bearings (cylindrical and tapered)?

Question 22

A roller bearing on a shaft has a radial load of 316.0 lbf. The life goal is 10,000 hours at 655.4 rev/min. The manufacturer's rating life is 1,000,000 revolutions. The application factor is 1.2, and the reliability is 0.99. For this bearing, the Weibull parameters are x0=0.02, (θ-x0)=4.439, and b=1.483. What is the required catalog rating C10?

Question 23

What is the 'basic static load rating', C0, of a bearing?

Question 24

In the context of tapered roller bearings, a radial load induces a thrust reaction within the bearing. According to Timken, what equation is provided to estimate this induced thrust load (Fi)?

Question 25

When calculating the equivalent radial load for a tapered roller bearing, Timken recommends an equation of the form Fe = XFr + YFa. What value is recommended for the radial factor X in all cases?

Question 26

In a pair of direct-mounted tapered roller bearings, an external thrust load Fae is applied. Bearing A is the 'squeezed' bearing. If the induced thrust from bearing A (FiA) is greater than the sum of the external thrust and the induced thrust from bearing B (FiB + Fae), which bearing carries the net thrust load?

Question 27

A shaft is supported by two tapered roller bearings, A and B, in a direct mount. The radial loads are FrA = 2170 N and FrB = 2654 N. An external thrust Fae = 1690 N squeezes bearing A. For the first trial, K=1.5 is used for both bearings. What is the dynamic equivalent load on bearing A, FeA?

Question 28

In Example 11-8, bearings A and B (cone 15100 and cup 15245) are selected, with a C10 rating of 12100 N. The desired life corresponds to xD = 2.67. For bearing A, the equivalent load was FeA = 4938 N. What is the calculated reliability of bearing A?

Question 29

What is the primary function of the separator in a rolling-contact bearing?

Question 30

A bearing is subjected to a continuous, periodic load variation described by F = F_bar + A*sin(theta). For a ball bearing (a=3), what is the application factor (af) if the average load F_bar is 100 lbf and the amplitude A is 40 lbf?

Question 31

What is the typical value for the Weibull shape parameter 'b' for rolling-contact bearings?

Question 32

The median life of a group of bearings is typically how many times greater than the L10 rating life?

Question 33

For a 02-series deep-groove ball bearing with a 50 mm bore, what is the basic dynamic load rating, C10, in kN?

Question 34

Which type of bearing mounting arrangement provides the greatest aligning stiffness and is good for heavy radial and thrust loads from either direction?

Question 35

Which class of machinery has the shortest recommended bearing life according to Table 11-4?

Question 36

What is the primary disadvantage of a straight roller bearing mentioned in the text?

Question 37

If a ball bearing is subjected to four load cycles with the following fractions of revolution and equivalent loads (Fei): f1=0.077, Fe1=873 lbf; f2=0.115, Fe2=795 lbf; f3=0.346, Fe3=966 lbf; f4=0.462, Fe4=835 lbf. What is the overall equivalent radial load (Feq)?

Question 38

What is the primary defining characteristic of an angular-contact bearing compared to a standard deep-groove bearing?

Question 40

If a pair of tapered roller bearings has a reliability goal of R=0.99, and the individual bearing reliabilities are assumed to be equal (RA=RB), what should be the target reliability for each individual bearing?

Question 41

Which of the following terms is a synonym for 'rating life'?

Question 42

For a 03-series cylindrical roller bearing with a 50 mm bore, what is the basic static load rating, C0, in kN?

Question 43

What does a DT mounting arrangement for angular ball bearings, also known as a tandem arrangement, primarily accomplish?

Question 44

A shaft is supported by a pair of tapered roller bearings. Bearing A has a reliability of 0.994791 and bearing B has a reliability of 0.999766. What is the combined reliability of the bearing pair?

Question 45

A constrained housing uses two direct-mount tapered roller bearings to resist an external thrust of 8000 N, with no radial loads. The shaft speed is 950 rev/min and the desired life is 10,000 h. The reliability goal for the loaded bearing is 0.95. What is the required thrust rating, (C10)a, for the loaded bearing A?

Question 46

What is the primary function of the lubricant in a rolling-contact bearing, as summarized in the text?

Question 47

For a standard single-row deep-groove ball bearing with a 65 mm bore, what is the recommended shaft shoulder diameter, dS?

Question 48

Which bearing type is described as being particularly useful where radial space is limited and having a high load capacity?

Question 49

A 02-70 mm deep-groove ball bearing (C10 = 13888 lbf) is selected for an application requiring a C10 of 6696 lbf. The application has a load FD = 413 lbf, application factor af = 1.2, and life multiple xD = 540. The Weibull parameters are x0 = 0.02, (θ-x0) = 4.439, and b = 1.483. What is the resulting reliability of the selected bearing?

Question 50

Why must at least two tapered roller bearings typically be used on a single shaft?