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A self-aligning ball bearing has a basic dynamic load rating ( C10 , for 106 revolutions) of
35 kN. If the equivalent radial load on the bearing is 45 kN, the expected life (in 106 revolutions) is
35 kN. If the equivalent radial load on the bearing is 45 kN, the expected life (in 106 revolutions) is
- a)below 0.5
- b)0.5 to 0.8
- c)0.8 to 1.0
- d)above 1.0
Correct answer is option 'A'. Can you explain this answer?
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Basic Dynamic Load Rating (C10)
- The basic dynamic load rating (C10) of a bearing is a measure of its load-carrying capacity under dynamic conditions.
- It represents the constant load which a group of apparently identical bearings can endure for a rating life of 106 revolutions.
- The rating life is the number of revolutions or hours at a constant speed that 90% of a group of identical bearings can complete or exceed before the first evidence of material fatigue develops.
Equivalent Radial Load
- The equivalent radial load is the load that would produce the same maximum contact stress in the bearing as the combined effect of all actual loads acting on it.
- It takes into account the magnitude and direction of the actual loads, as well as the relationship between the bearing and the loads.
Expected Life Calculation
- The expected life of a bearing can be calculated using the formula:
L10 = (C/P)^3 x 10^6
where L10 is the expected life in millions of revolutions, C is the basic dynamic load rating (C10), and P is the equivalent radial load.
Given:
C10 = 35 kN
P = 45 kN
Substituting the values into the formula:
L10 = (35/45)^3 x 10^6
≈ 0.428 x 10^6
≈ 428,000 revolutions
Since the expected life is calculated in millions of revolutions, we divide the result by 106:
L10 = 428,000 / 106
≈ 0.428
Conclusion
The expected life of the self-aligning ball bearing, with a basic dynamic load rating of 35 kN and an equivalent radial load of 45 kN, is approximately 0.428 million revolutions. This value is below 0.5 million revolutions, so the correct answer is option 'A' (below 0.5).
- The basic dynamic load rating (C10) of a bearing is a measure of its load-carrying capacity under dynamic conditions.
- It represents the constant load which a group of apparently identical bearings can endure for a rating life of 106 revolutions.
- The rating life is the number of revolutions or hours at a constant speed that 90% of a group of identical bearings can complete or exceed before the first evidence of material fatigue develops.
Equivalent Radial Load
- The equivalent radial load is the load that would produce the same maximum contact stress in the bearing as the combined effect of all actual loads acting on it.
- It takes into account the magnitude and direction of the actual loads, as well as the relationship between the bearing and the loads.
Expected Life Calculation
- The expected life of a bearing can be calculated using the formula:
L10 = (C/P)^3 x 10^6
where L10 is the expected life in millions of revolutions, C is the basic dynamic load rating (C10), and P is the equivalent radial load.
Given:
C10 = 35 kN
P = 45 kN
Substituting the values into the formula:
L10 = (35/45)^3 x 10^6
≈ 0.428 x 10^6
≈ 428,000 revolutions
Since the expected life is calculated in millions of revolutions, we divide the result by 106:
L10 = 428,000 / 106
≈ 0.428
Conclusion
The expected life of the self-aligning ball bearing, with a basic dynamic load rating of 35 kN and an equivalent radial load of 45 kN, is approximately 0.428 million revolutions. This value is below 0.5 million revolutions, so the correct answer is option 'A' (below 0.5).
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A self-aligning ball bearing has a basic dynamic load rating ( C10 , for 106 revolutions) of35 kN. If the equivalent radial load on the bearing is 45 kN, the expected life (in 106 revolutions) isa)below 0.5b)0.5 to 0.8c)0.8 to 1.0d)above 1.0Correct answer is option 'A'. Can you explain this answer?
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A self-aligning ball bearing has a basic dynamic load rating ( C10 , for 106 revolutions) of35 kN. If the equivalent radial load on the bearing is 45 kN, the expected life (in 106 revolutions) isa)below 0.5b)0.5 to 0.8c)0.8 to 1.0d)above 1.0Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A self-aligning ball bearing has a basic dynamic load rating ( C10 , for 106 revolutions) of35 kN. If the equivalent radial load on the bearing is 45 kN, the expected life (in 106 revolutions) isa)below 0.5b)0.5 to 0.8c)0.8 to 1.0d)above 1.0Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A self-aligning ball bearing has a basic dynamic load rating ( C10 , for 106 revolutions) of35 kN. If the equivalent radial load on the bearing is 45 kN, the expected life (in 106 revolutions) isa)below 0.5b)0.5 to 0.8c)0.8 to 1.0d)above 1.0Correct answer is option 'A'. Can you explain this answer?.
A self-aligning ball bearing has a basic dynamic load rating ( C10 , for 106 revolutions) of35 kN. If the equivalent radial load on the bearing is 45 kN, the expected life (in 106 revolutions) isa)below 0.5b)0.5 to 0.8c)0.8 to 1.0d)above 1.0Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A self-aligning ball bearing has a basic dynamic load rating ( C10 , for 106 revolutions) of35 kN. If the equivalent radial load on the bearing is 45 kN, the expected life (in 106 revolutions) isa)below 0.5b)0.5 to 0.8c)0.8 to 1.0d)above 1.0Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A self-aligning ball bearing has a basic dynamic load rating ( C10 , for 106 revolutions) of35 kN. If the equivalent radial load on the bearing is 45 kN, the expected life (in 106 revolutions) isa)below 0.5b)0.5 to 0.8c)0.8 to 1.0d)above 1.0Correct answer is option 'A'. Can you explain this answer?.
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