GATE ME 2015 Set 1 — Question 25
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Strength of Materials → Beams & Columns → Torsion of Shafts
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Question
Consider a stepped shaft subjected to a twisting moment applied at B as shown in the figure. Assume shear modulus, . The angle of twist at C (in degrees) is ________.

Correct answer
0.22 to 0.25
Solution
The shaft is fixed at A and a torque is applied at B. Segment AB has length and diameter . Segment BC has length and diameter . Since the torque is applied at B and C is a free end, the torque in segment BC is zero (). The angle of twist at C is the same as the angle of twist at B. Polar moment of inertia .In degrees, .
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