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MCQ Practice Test & Solutions: Test: Torsion of Shafts - 1 (10 Questions)

You can prepare effectively for Civil Engineering (CE) GATE Civil Engineering (CE) 2027 Mock Test Series with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Torsion of Shafts - 1". These 10 questions have been designed by the experts with the latest curriculum of Civil Engineering (CE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 10

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Test: Torsion of Shafts - 1 - Question 1

A solid shaft of circular cross-section is subjected to a torque T which produces a maximum shear stress fs in the shaft. The diameter of the shaft should be

Detailed Solution: Question 1


∴ 

Test: Torsion of Shafts - 1 - Question 2

A hollow shaft of inner radius 30 mm and outer radius 50 mm is subjected to a twisting moment. If the shear stress developed at inner radius of shaft is 60 N/mm2. What is the maximum shear stress in shaft?

Detailed Solution: Question 2

As we know, torsional shear stress varies linearly 
∴ 
= 100N/mm2

Test: Torsion of Shafts - 1 - Question 3

A solid steel shaft is surrounded by a copper shaft, such that,  what is the ratio of if composite shaft is subjected to a twisting moment?

Detailed Solution: Question 3





Test: Torsion of Shafts - 1 - Question 4

A shaft is subjected to a bending moment M and a torque T. The equivalent bending moment. Meq on the shaft is given by

Detailed Solution: Question 4

Test: Torsion of Shafts - 1 - Question 5

A shaft of diameter ‘d’ is subjected to bending moment M and twisting moment T. The developed principal stress will be

Detailed Solution: Question 5

Test: Torsion of Shafts - 1 - Question 6

If n is the ratio of internal and external diameters of a hollow shaft, ratio of weights of hollow shaft and solid shaft in order to have same strength will be

Detailed Solution: Question 6

In order to have same strength,

Test: Torsion of Shafts - 1 - Question 7

If a shaft is simultaneously subjected to a torque T and a bending moment M, the ratio of maximum bending stress and maximum shearing stress is given by

Detailed Solution: Question 7

To determine the ratio of maximum bending stress to maximum shearing stress in a shaft subjected to both torque and bending moment, consider the following:

  • The maximum bending stress (σ) is calculated using the formula: σ = M/Z, where M is the bending moment and Z is the section modulus.
  • The maximum shearing stress (τ) due to torque is given by: τ = T/J, where T is the torque and J is the polar moment of inertia.
  • The ratio of maximum bending stress to maximum shearing stress can be expressed as: σ/τ = (M/Z) / (T/J) = (M/J) * (Z/T).
  • This ratio can vary depending on the specific properties of the shaft but typically simplifies to a relationship involving M and T.

Test: Torsion of Shafts - 1 - Question 8

If two shafts of the same length, one of which is hollow, transmit equal torque and have equal maximum stress, then they should have equal

Detailed Solution: Question 8




As  Ts = Th,
∴ Zs = Zh

Test: Torsion of Shafts - 1 - Question 9

A circular shaft fixed at A has diameter D for half of its length and diameter D/2 over the other half as shown in the figure. What is the rotation of C relative to B if the rotation of B relative to A is 0.1 radian?

Detailed Solution: Question 9


Test: Torsion of Shafts - 1 - Question 10

A shaft AS of'length l, diameter d is subjected to torque Tat section Csuch that AC = l/3, ends of the shaft are fixed, What is the resisting torque at A?

Detailed Solution: Question 10

Resisting torque at A, TA is given by,

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