GATE ME 2021 Set 1 — Question 28
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Strength of Materials → Stress, Strain & Elastic Constants → Stress & Strain
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Question
A prismatic bar is subjected to axial loads as shown in the figure. The segments having maximum and minimum axial stresses, respectively, are
Correct answer
(D) ST and RS
Solution
Since the bar is prismatic, the cross-sectional area is constant. Stress , so the segment with the maximum internal force will have the maximum stress, and the segment with the minimum internal force will have the minimum stress.
Let's calculate the internal axial force in each segment using the method of sections from the left end :
Comparing the magnitudes:
Let's calculate the internal axial force in each segment using the method of sections from the left end :
- Segment : Internal force (Tension, as the load at pulls away from the section).
- Segment : Internal force (Tension).
- Segment : Internal force (Tension).
- Segment : Internal force (Tension).
Comparing the magnitudes:
- Maximum force is in segment ().
- Minimum force is in segment ().
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