GATE CE 2018 Set 1 — Question 18
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Structural Engineering → Torsion, Stress Transformation & Columns → Torsion of Circular Shafts
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Question
A solid circular beam with radius of and length of is subjected to a twisting moment of about the z-axis at the free end, which is the only load acting as shown in the figure. The shear stress component at Point ‘M’ in the cross-section of the beam at a distance of from the fixed end is
Correct answer
(A) 0.0 MPa
Solution
In a circular shaft subjected to pure torsion, the shear stress at any point is directed perpendicular to the radius vector from the center to that point. At point M, which is located at the top-most fiber of the cross-section (on the y-axis), the shear stress vector is purely horizontal (along the x-axis). Therefore, the shear stress component in the y-direction, , is zero at this point.
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