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The design calculations for members subject to fluctuating loads with the same factor of safety yield the most conservative estimates when using

  • a)
    Gerber relation

  • b)
    Soderberg relation 

  • c)
    Goodman relation

  • d)
    None of the above

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The design calculations for members subject to fluctuating loads with ...
Correct Answer :- b
Explanation : The Soderberg line is a more conservative failure criterion and there is no need to consider even yielding in this case.
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The design calculations for members subject to fluctuating loads with ...
Soderberg relation for fluctuating loads with same factor of safety

The Soderberg relation is a method used for designing mechanical components and structures that are subjected to fluctuating loads with the same factor of safety. This method is based on the assumption that a material will fail if the combined stresses from fluctuating loads and steady loads exceed the static yield strength of the material. The Soderberg relation is a more conservative approach than the Goodman relation, which assumes that a material will fail if the combined stresses exceed the fatigue strength of the material.

Factors considered in Soderberg relation

The Soderberg relation takes into account the following factors:

1. The static yield strength of the material
2. The alternating stress due to fluctuating loads
3. The mean stress due to steady loads
4. The factor of safety

Why Soderberg relation is the most conservative?

The Soderberg relation is the most conservative approach for designing mechanical components and structures subjected to fluctuating loads with the same factor of safety because it takes into account both the static and dynamic properties of the material. By considering the static yield strength of the material, the Soderberg relation ensures that the component or structure will not fail due to steady loads even if it is subjected to fluctuating loads. Additionally, by considering both the alternating stress due to fluctuating loads and the mean stress due to steady loads, the Soderberg relation ensures that the component or structure will not fail due to fatigue even if it is subjected to fluctuating loads.

Conclusion

In conclusion, the Soderberg relation is the most conservative method for designing mechanical components and structures subjected to fluctuating loads with the same factor of safety. This method takes into account both the static and dynamic properties of the material and ensures that the component or structure will not fail due to steady loads or fatigue even if it is subjected to fluctuating loads.
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The design calculations for members subject to fluctuating loads with the same factor of safety yield the most conservative estimates when usinga)Gerber relationb)Soderberg relationc)Goodman relationd)None of the aboveCorrect answer is option 'B'. Can you explain this answer?
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