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A rotating bar made of forged steel 50 mm in diameter (Sut = 600 N/m2), is subjected to completely reverse bending stress. The corrected endurance limit (in MPa) of the bar is 100 N/mm2. The fatigue strength of the bar for the life of 25000 cycles is
Correct answer is '245'. Can you explain this answer?
Verified Answer
A rotating bar made of forged steel 50 mm in diameter (Sut = 600 N/m2...
Given, Sut = 600 N/m2, Se = 100 N/mm2, N = 25000 cycles
Step I. Construction of S-N diagram
log10 ⁡(0.9Sut) = 2.73
log10 ⁡(Se) = 2
log10⁡ (N) = 4.4
The S-N curve for the rotating bar is shown.
Step II. Fatigue strength (Sf)
The equation of line AB
log10 ⁡Sf − 2.73 =
Sf = 245.094MPa
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Most Upvoted Answer
A rotating bar made of forged steel 50 mm in diameter (Sut = 600 N/m2...


Given Data:
- Diameter of the rotating bar = 50 mm
- Ultimate tensile strength (Sut) = 600 N/mm2
- Corrected endurance limit = 100 N/mm2
- Number of cycles = 25000

Calculations:
1. Calculate the corrected endurance limit for the bar:
Endurance limit (Se) = Corrected endurance limit * (Sut / 1000)^0.1
= 100 * (600 / 1000)^0.1
= 100 * 0.77426
= 77.426 N/mm2

2. Calculate the fatigue strength for 25000 cycles:
Fatigue strength = Se * (1 - (1 - (Smin / Se)^(1/b))^b)
= 77.426 * (1 - (1 - (0 / 77.426)^(1/0.1))^0.1)
= 77.426 * (1 - (1 - 0)^10)
= 77.426 * (1 - 1)
= 0 N/mm2

Therefore, the fatigue strength of the bar for the life of 25000 cycles is 0 N/mm2.
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A rotating bar made of forged steel 50 mm in diameter (Sut = 600 N/m2), is subjected to completely reverse bending stress. The corrected endurance limit (in MPa) of the bar is 100 N/mm2. The fatigue strength of the bar for the life of 25000 cycles isCorrect answer is '245'. Can you explain this answer?
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A rotating bar made of forged steel 50 mm in diameter (Sut = 600 N/m2), is subjected to completely reverse bending stress. The corrected endurance limit (in MPa) of the bar is 100 N/mm2. The fatigue strength of the bar for the life of 25000 cycles isCorrect answer is '245'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A rotating bar made of forged steel 50 mm in diameter (Sut = 600 N/m2), is subjected to completely reverse bending stress. The corrected endurance limit (in MPa) of the bar is 100 N/mm2. The fatigue strength of the bar for the life of 25000 cycles isCorrect answer is '245'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rotating bar made of forged steel 50 mm in diameter (Sut = 600 N/m2), is subjected to completely reverse bending stress. The corrected endurance limit (in MPa) of the bar is 100 N/mm2. The fatigue strength of the bar for the life of 25000 cycles isCorrect answer is '245'. Can you explain this answer?.
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