Multiple choice

A circular solid shaft of span L = 5 m is fixed at one end and free at the other end. A twisting moment T = 100 kN-m is applied at the free end. The torsional rigidity Gj is 50000 kN-m2/red. Following statements are made for this shaft. (I) The maximum rotation is 0.01 rad. (II) The torsional strain energy is 1 kN-m. With reference to the above statements, which of the following applies?

  1. Both statements are true.

  2. Statement I is true but II is false.

  3. Statement II is true but I is false.

  4. Both the statements are false.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Rotation theta = TL/GJ = (100 * 5) / 50000 = 0.01 rad, so Statement I is true. Torsional strain energy U = (T^2 * L) / (2 * GJ) = (100^2 * 5) / (2 * 50000) = 0.5 kN-m, so Statement II is false.

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