GATE CE 2015 Set 2 — Question 17
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Structural Engineering → Torsion, Stress Transformation & Columns → Principal Stresses & Planes
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Question
For the plane stress situation shown in the figure, the maximum shear stress and the plane on which it acts are:
Correct answer
(D) Zero, at all orientations
Solution
Given the state of stress: (tensile), (tensile), and .
The principal stresses are and .
The maximum in-plane shear stress is given by:Since the principal stresses are equal and shear stress is zero, the Mohr's circle reduces to a single point on the -axis. Consequently, the shear stress is zero on all planes regardless of orientation.
The principal stresses are and .
The maximum in-plane shear stress is given by:Since the principal stresses are equal and shear stress is zero, the Mohr's circle reduces to a single point on the -axis. Consequently, the shear stress is zero on all planes regardless of orientation.
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