GATE CE 2019 Set 2 — Question 39
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Structural Engineering → Torsion, Stress Transformation & Columns → Principal Stresses & Planes
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Question
For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in figure.
By how much angle () in degrees the stress element should be rotated in order to get the planes of maximum shear stress?
Correct answer
(C) 31.7
Solution
From the given stress element:
- Normal stress in x-direction, MPa (tension)
- Normal stress in y-direction, MPa (compression, as arrows point inward)
- Shear stress, MPa (on the positive x-face, it acts in the negative y-direction)
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