GATE CE 2025 Set 2 — Question 39
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Structural Engineering → Torsion, Stress Transformation & Columns → Principal Stresses & Planes
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Question
Let the state of stress at a point in a body be the difference of two plane states of stress shown in the figure. Consider all the possible planes perpendicular to the x-y plane and passing through that point. The magnitude of the maximum compressive stress on any such plane is , where is equal to _____ (round off to one decimal place).
Correct answer
(B) 2.1
Solution
1.Stress State 1 (): Uniaxial tension in the x-direction.
2.Stress State 2 (): Uniaxial tension at . Transforming to x-y coordinates:
3.Difference State ():
4.Principal Stresses of :
5.Maximum Compressive Stress: The magnitude is , so .
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