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A rotating bar made of steel having S-620 N/mm² is subjected to a completely reversed bending stress. The corrected endurance limit of the bar is 310N/mm Calculate the fatigue strength of the bar for a life of 100000 cycles.?
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A rotating bar made of steel having S-620 N/mm² is subjected to a comp...
Introduction
The fatigue strength of a material is critical for components subjected to cyclic loading. For a rotating bar made of steel with an ultimate tensile strength (S) of 620 N/mm² and a corrected endurance limit (Se) of 310 N/mm², we can calculate the fatigue strength for a life of 100,000 cycles.
Fatigue Strength Calculation
To determine the fatigue strength at a specified life cycle, we can use the Basquin's equation, which relates the fatigue strength to the number of cycles:
- σ_f = Se * (N_f / 10^6)^b
Where:
- σ_f = Fatigue strength at N_f cycles
- Se = Endurance limit
- N_f = Number of cycles (100,000)
- b = slope of the S-N curve (typically between -0.1 to -0.2 for steel)
Assuming a typical value of b = -0.1 for steel:
Calculation Steps
- Convert N_f to millions: N_f = 100,000 = 0.1 million
- Substitute the values into the equation:
σ_f = 310 * (0.1)^(-0.1)
- Calculate σ_f:
σ_f ≈ 310 * 1.2589 (Using 0.1 raised to -0.1)
σ_f ≈ 390.47 N/mm²
Conclusion
The calculated fatigue strength of the steel bar for a life of 100,000 cycles is approximately 390.47 N/mm². Understanding this strength is crucial for ensuring the safety and reliability of components in cyclic loading applications.
The fatigue strength of a material is critical for components subjected to cyclic loading. For a rotating bar made of steel with an ultimate tensile strength (S) of 620 N/mm² and a corrected endurance limit (Se) of 310 N/mm², we can calculate the fatigue strength for a life of 100,000 cycles.
Fatigue Strength Calculation
To determine the fatigue strength at a specified life cycle, we can use the Basquin's equation, which relates the fatigue strength to the number of cycles:
- σ_f = Se * (N_f / 10^6)^b
Where:
- σ_f = Fatigue strength at N_f cycles
- Se = Endurance limit
- N_f = Number of cycles (100,000)
- b = slope of the S-N curve (typically between -0.1 to -0.2 for steel)
Assuming a typical value of b = -0.1 for steel:
Calculation Steps
- Convert N_f to millions: N_f = 100,000 = 0.1 million
- Substitute the values into the equation:
σ_f = 310 * (0.1)^(-0.1)
- Calculate σ_f:
σ_f ≈ 310 * 1.2589 (Using 0.1 raised to -0.1)
σ_f ≈ 390.47 N/mm²
Conclusion
The calculated fatigue strength of the steel bar for a life of 100,000 cycles is approximately 390.47 N/mm². Understanding this strength is crucial for ensuring the safety and reliability of components in cyclic loading applications.
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A rotating bar made of steel having S-620 N/mm² is subjected to a completely reversed bending stress. The corrected endurance limit of the bar is 310N/mm Calculate the fatigue strength of the bar for a life of 100000 cycles.?
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A rotating bar made of steel having S-620 N/mm² is subjected to a completely reversed bending stress. The corrected endurance limit of the bar is 310N/mm Calculate the fatigue strength of the bar for a life of 100000 cycles.? 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 rotating bar made of steel having S-620 N/mm² is subjected to a completely reversed bending stress. The corrected endurance limit of the bar is 310N/mm Calculate the fatigue strength of the bar for a life of 100000 cycles.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rotating bar made of steel having S-620 N/mm² is subjected to a completely reversed bending stress. The corrected endurance limit of the bar is 310N/mm Calculate the fatigue strength of the bar for a life of 100000 cycles.?.
A rotating bar made of steel having S-620 N/mm² is subjected to a completely reversed bending stress. The corrected endurance limit of the bar is 310N/mm Calculate the fatigue strength of the bar for a life of 100000 cycles.? 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 rotating bar made of steel having S-620 N/mm² is subjected to a completely reversed bending stress. The corrected endurance limit of the bar is 310N/mm Calculate the fatigue strength of the bar for a life of 100000 cycles.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rotating bar made of steel having S-620 N/mm² is subjected to a completely reversed bending stress. The corrected endurance limit of the bar is 310N/mm Calculate the fatigue strength of the bar for a life of 100000 cycles.?.
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