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A bar is subjected to a combination of a steady load of 60 kN and a load fluctuating between -10 kN and 90 kN. The corrected endurance limit of the bar is 150 MPa, the yield strength of the material is 480 MPa and the ultimate strength of the material is600 MPa. The bar cross-section is square with side a. If the factor of safety is 2, the value
of a (in mm), according to the modified Goodman’s criterion, is __________ (correct to two decimal places).
    Correct answer is '31.62'. Can you explain this answer?
    Verified Answer
    A bar is subjected to a combination of a steady load of 60 kN and a lo...

    Solution by Goodman Equation,

    Solution by Langar euation,

    Hence final answer by modified Goodman’s Griterion is 31.62 mm.
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    Most Upvoted Answer
    A bar is subjected to a combination of a steady load of 60 kN and a lo...
    Criteria, is:

    The modified Goodman criteria states that the alternating stress amplitude (Sa) must be less than the corrected endurance limit (Se) divided by a correction factor (K) plus the static stress (Ss) divided by the ultimate strength (Su) divided by the correction factor (K). Mathematically, this can be expressed as:

    Sa < se="" k="" +="" ss="" (su="" />

    We can start by finding the correction factor (K). This is given by:

    K = 1 + Sa / Sy

    where Sy is the yield strength of the material. We can assume a conservative value of Sa = 90 kN (the maximum alternating load), so:

    K = 1 + 90 kN / 480 MPa
    K = 1.1875

    Next, we need to find the static stress (Ss). This is simply the steady load of 60 kN. Therefore:

    Ss = 60 kN

    Now we can apply the modified Goodman criteria to find the maximum allowable size of the square cross-section (a). We can assume a conservative value of Sa = 90 kN (the maximum alternating load), and we want to ensure a factor of safety of 2. Therefore:

    Sa < se="" k="" +="" ss="" (su="" k)="" />

    Rearranging and plugging in the given values:

    90 kN < 150="" mpa="" 1.1875="" +="" 60="" kn="" (600="" mpa="" 1.1875)="" />

    90 kN < 95.69="" />

    We can now solve for a:

    a^2 = 90 kN / (95.69 MPa / 10^6 Pa)
    a^2 = 0.9406 m^2

    Taking the square root and converting to mm:

    a = 970.9 mm

    Therefore, the maximum allowable size of the square cross-section is approximately 970.9 mm, according to the modified Goodman criteria.
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    A bar is subjected to a combination of a steady load of 60 kN and a load fluctuating between -10 kN and 90 kN. The corrected endurance limit of the bar is 150 MPa, the yield strength of the material is 480 MPa and the ultimate strength of the material is600 MPa. The bar cross-section is square with side a. If the factor of safety is 2, the valueof a (in mm), according to the modified Goodman’s criterion, is __________ (correct to two decimal places).Correct answer is '31.62'. Can you explain this answer?
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    A bar is subjected to a combination of a steady load of 60 kN and a load fluctuating between -10 kN and 90 kN. The corrected endurance limit of the bar is 150 MPa, the yield strength of the material is 480 MPa and the ultimate strength of the material is600 MPa. The bar cross-section is square with side a. If the factor of safety is 2, the valueof a (in mm), according to the modified Goodman’s criterion, is __________ (correct to two decimal places).Correct answer is '31.62'. 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 bar is subjected to a combination of a steady load of 60 kN and a load fluctuating between -10 kN and 90 kN. The corrected endurance limit of the bar is 150 MPa, the yield strength of the material is 480 MPa and the ultimate strength of the material is600 MPa. The bar cross-section is square with side a. If the factor of safety is 2, the valueof a (in mm), according to the modified Goodman’s criterion, is __________ (correct to two decimal places).Correct answer is '31.62'. 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 bar is subjected to a combination of a steady load of 60 kN and a load fluctuating between -10 kN and 90 kN. The corrected endurance limit of the bar is 150 MPa, the yield strength of the material is 480 MPa and the ultimate strength of the material is600 MPa. The bar cross-section is square with side a. If the factor of safety is 2, the valueof a (in mm), according to the modified Goodman’s criterion, is __________ (correct to two decimal places).Correct answer is '31.62'. Can you explain this answer?.
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