GATE ME 2025 Set 1 — Question 43
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Machine Design → Static & Dynamic Loading → Goodman, Soderberg & Gerber
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Question
The endurance limit of a specific grade of steel is same as its yield strength. The ultimate strength of this grade of steel is twice of its yield strength. A component made of this steel is loaded in tension and unloaded periodically. It is required that the component does NOT fail for at least loading cycles, as per the Soderberg law. Considering a factor of safety of 2, the maximum applied tensile principal stress is
Correct answer
(B) half of the endurance limit
Solution
Given: and .
The component is loaded in tension and unloaded periodically, which means the stress varies from to .
Mean stress,
Amplitude stress,
According to Soderberg law:Substituting the values:Since , the maximum applied tensile principal stress is , which is half of the endurance limit.
The component is loaded in tension and unloaded periodically, which means the stress varies from to .
Mean stress,
Amplitude stress,
According to Soderberg law:Substituting the values:Since , the maximum applied tensile principal stress is , which is half of the endurance limit.
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