A circular solid shaft of span L = 5 m is fixed at one end and free at the other end. A torque T = 100 kN.m is applied at the free end. The shear modulus and polar moment of inertia of the section are denoted as G and J, respectively. The torsional rigidity GJ is 50,000 kN.m 2 /rad. The following are reported for this shaft: Statement i) The rotation at the free end is 0.01 rad Statement ii) The torsional strain energy is 1.0 kN.m With reference to the above statements, which of the following is true?

Correct Answer is : Statement i) is correct, but Statement ii) is wrong

Both the statements are correct

Statement i) is correct, but Statement ii) is wrong

Statement i) is wrong, but Statement ii) is correct

GATE Civil Engineering (CE) 2023 Shift 2 Solved Paper

Question : 14 of 65

Marks: +1, -0

A circular solid shaft of span L = 5 m is fixed at one end and free at the other end. A torque T = 100 kN.m is applied at the free end. The shear modulus and polar moment of inertia of the section are denoted as G and J, respectively. The torsional rigidity GJ is 50,000 kN.m² /rad. The following are reported for this shaft:
Statement i) The rotation at the free end is 0.01 rad
Statement ii) The torsional strain energy is 1.0 kN.m
With reference to the above statements, which of the following is true?

Both the statements are correct
Statement i) is correct, but Statement ii) is wrong
Statement i) is wrong, but Statement ii) is correct
Both the statements are wrong

Validate

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