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There is a rotating bar made up of steel (Sut = 650 MPA. which is subjected to a completely reversed bending stress. The corrected endurance limit of the bar is 300 MPa. The fatigue strength of the bar for a life of 1,00,000 cycles will be _____ MPa
    Correct answer is between '465,470'. Can you explain this answer?
    Verified Answer
    There is a rotating bar made up of steel (Sut= 650 MPA. which is subje...
    Given:
    Sut = 650 MPa
    Corrected endurance limit , Se = 300 MPa
    N = 1,00,000 cycles
    We will draw the S-N diagram for it:
    log10(0.9Sut) = log10(585) = 2.7672
    log10(Se) = log10(300) = 2.4771
    log10(N) = log10(100000) = 5

    Fatigue strength for 1,00,000 cycles:
    Equation of line AB:

    Therefore the fatigue strength of the bar will be 468.274 MPa.
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    There is a rotating bar made up of steel (Sut= 650 MPA. which is subje...
    Calculation of Fatigue Strength of Rotating Bar

    Given:

    • Steel used in the bar: Sut= 650 MPa

    • Completely reversed bending stress

    • Corrected endurance limit of the bar: 300 MPa

    • Number of cycles: 1,00,000 cycles



    Formula:

    • SN curve: Sf = Se (1+a(Nf)^b)


    where,

    • Sf is the fatigue strength

    • Se is the corrected endurance limit

    • a and b are material constants

    • Nf is the number of cycles



    Calculation:

    • From the given data, Se = 300 MPa

    • For steel, a = -0.085 and b = -0.475

    • Substituting the values in the SN curve formula, we get:

    • Sf = 300 (1 - 0.085(1,00,000)^-0.475)

    • Sf = 465.77 MPa (approx)



    Answer: The fatigue strength of the rotating bar for a life of 1,00,000 cycles is approximately 465.77 MPa.
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    There is a rotating bar made up of steel (Sut= 650 MPA. which is subjected to a completely reversed bending stress. The corrected endurance limit of the bar is 300 MPa. The fatigue strength of the bar for a life of 1,00,000 cycles will be _____ MPaCorrect answer is between '465,470'. Can you explain this answer?
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