GATE ME 2017 Set 2 — Question 7
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Strength of Materials → Stress, Strain & Elastic Constants → Mohr's Circle
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Question
The state of stress at a point is and MPa. The maximum normal stress (in MPa) at that point is ________
Correct answer
49.9 to 50.1
Solution
Given the stress components at a point:
MPa, MPa
This represents a state of pure shear in the -plane. For a 2D stress state, the principal stresses are calculated using the formula:Substituting the given values:Thus, the principal stresses are MPa, MPa, and MPa.The maximum normal stress is defined as the largest principal stress:
MPa, MPa
This represents a state of pure shear in the -plane. For a 2D stress state, the principal stresses are calculated using the formula:Substituting the given values:Thus, the principal stresses are MPa, MPa, and MPa.The maximum normal stress is defined as the largest principal stress:
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