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The yield strength of a steel shaft is twice its endurance limit. Which of the following torque fluctuation represent the most critical situation according to Soderberg criterion?
- a)-T to +T
- b)-T/2 to +T
- c)0 to +T
- d)+T/2 to +T
Correct answer is option 'A'. Can you explain this answer?
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Soderberg criterion is a method of designing machine components subjected to fluctuating loads, based on their endurance limit and yield strength. The most critical situation occurs when the maximum stress amplitude due to the fluctuating torque reaches the Soderberg line, which is the line joining the yield strength and endurance limit points on the stress axis.
According to the given information, the yield strength of the steel shaft is twice its endurance limit. Therefore, the yield point on the Soderberg line would be at twice the endurance limit. Let's consider each of the torque fluctuations given in the options.
A) T to T: In this case, the maximum stress amplitude due to torque fluctuation is 2T, which is equal to the yield strength of the shaft. Therefore, this torque fluctuation would be on the Soderberg line, and it represents the most critical situation.
B) T/2 to T: In this case, the maximum stress amplitude due to torque fluctuation is (3/2)T, which is greater than the yield strength of the shaft. Therefore, this torque fluctuation would be above the Soderberg line, and it is not the most critical situation.
C) 0 to T: In this case, the maximum stress amplitude due to torque fluctuation is T, which is less than the yield strength of the shaft. Therefore, this torque fluctuation would be below the Soderberg line, and it is not the most critical situation.
D) T/2 to T: In this case, the maximum stress amplitude due to torque fluctuation is (5/4)T, which is greater than the yield strength of the shaft. Therefore, this torque fluctuation would be above the Soderberg line, and it is not the most critical situation.
In conclusion, the torque fluctuation of T to T represents the most critical situation according to the Soderberg criterion, as it is on the Soderberg line.
According to the given information, the yield strength of the steel shaft is twice its endurance limit. Therefore, the yield point on the Soderberg line would be at twice the endurance limit. Let's consider each of the torque fluctuations given in the options.
A) T to T: In this case, the maximum stress amplitude due to torque fluctuation is 2T, which is equal to the yield strength of the shaft. Therefore, this torque fluctuation would be on the Soderberg line, and it represents the most critical situation.
B) T/2 to T: In this case, the maximum stress amplitude due to torque fluctuation is (3/2)T, which is greater than the yield strength of the shaft. Therefore, this torque fluctuation would be above the Soderberg line, and it is not the most critical situation.
C) 0 to T: In this case, the maximum stress amplitude due to torque fluctuation is T, which is less than the yield strength of the shaft. Therefore, this torque fluctuation would be below the Soderberg line, and it is not the most critical situation.
D) T/2 to T: In this case, the maximum stress amplitude due to torque fluctuation is (5/4)T, which is greater than the yield strength of the shaft. Therefore, this torque fluctuation would be above the Soderberg line, and it is not the most critical situation.
In conclusion, the torque fluctuation of T to T represents the most critical situation according to the Soderberg criterion, as it is on the Soderberg line.
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The yield strength of a steel shaft is twice its endurance limit. Which of the following torque fluctuation represent the most critical situation according to Soderberg criterion?a)-T to +T b)-T/2 to +T c)0 to +T d)+T/2 to +TCorrect answer is option 'A'. Can you explain this answer?
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