GATE CE 2023 Set 2 — Question 14
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Structural Engineering → Determinate Structures & Energy Methods → Strain Energy
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Question
A circular solid shaft of span is fixed at one end and free at the other end. A torque is applied at the free end. The shear modulus and polar moment of inertia of the section are denoted as and , respectively. The torsional rigidity is . The following are reported for this shaft:Statement i) The rotation at the free end is
Statement ii) The torsional strain energy is With reference to the above statements, which of the following is true?
Statement ii) The torsional strain energy is With reference to the above statements, which of the following is true?
Correct answer
(B) Statement i) is correct, but Statement ii) is wrong
Solution
1.Rotation at the free end ():
So, Statement i) is correct.2.Torsional Strain Energy ():
Statement ii) claims the energy is , so Statement ii) is wrong.Therefore, Statement i) is correct and Statement ii) is wrong.Continue learning with Success Tracker
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