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Test: Torsion - 2 - Mechanical Engineering MCQ


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30 Questions MCQ Test - Test: Torsion - 2

Test: Torsion - 2 for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Test: Torsion - 2 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Torsion - 2 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Torsion - 2 below.
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Test: Torsion - 2 - Question 1

The boring bar of a boring machine is 25 mm in diameter. During operation, the bar gets twisted though 0.01 radians and is subjected to a shear stress of 42 N/mm2. The length of the bar is (Taking G = 0.84 × 105 N/mm2)

Test: Torsion - 2 - Question 2

Angle of twist of a shaft of diameter „d‟ is inversely proportional to 

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Test: Torsion - 2 - Question 3

In power transmission shafts, if the polar moment of inertia of a shaft is doubled, then what is the torque required to produce the same angle of twist? 

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Test: Torsion - 2 - Question 4

For a power transmission shaft transmitting power P at N rpm, its diameter is proportional to: 

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Test: Torsion - 2 - Question 5

When a shaft transmits power through gears, the shaft experiences 

Test: Torsion - 2 - Question 6

A solid circular shaft is subjected to a bending moment M and twisting moment T. What is the equivalent twisting moment Te which will produce the same maximum shear stress as the above combination? 

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Test: Torsion - 2 - Question 7

A member is subjected to the combined action of bending moment 400 Nm and torque 300 Nm. What respectively are the equivalent bending moment and equivalent torque? 

Detailed Solution for Test: Torsion - 2 - Question 7

Equivalent BendingMoment 

Equivalent torque 

Test: Torsion - 2 - Question 8

For obtaining the maximum shear stress induced in the shaft shown in the given figure, the torque should be equal to

Detailed Solution for Test: Torsion - 2 - Question 8

Bending Moment 

Test: Torsion - 2 - Question 9

Which one of the following statements is correct? Shafts used in heavy duty speed reducers are generally subjected to: 

Test: Torsion - 2 - Question 10

A hollow shaft of outer dia 40 mm and inner dia of 20 mm is to be replaced by a solid shaft to transmit the same torque at the same maximum stress. What should be the diameter of the solid shaft? 

Detailed Solution for Test: Torsion - 2 - Question 10

Section modules will be same

Test: Torsion - 2 - Question 11

Two hollow shafts of the same material have the same length and outside diameter. Shaft 1 has internal diameter equal to one-third of the outer diameter and shaft 2 has internal diameter equal to half of the outer diameter. If both the shafts are subjected to the same torque, the ratio of their twists θ12 will be equal to: 

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Test: Torsion - 2 - Question 12

What is the total angle of twist of the stepped shaft subject to torque T shown in figure given above?

 

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Test: Torsion - 2 - Question 13

Two shafts are shown in the above figure. These two shafts will be torsionally equivalent to each other if their

Test: Torsion - 2 - Question 14

The shear stress at a point in a shaft subjected to a torque is: 

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Test: Torsion - 2 - Question 15

A hollow circular shaft having outside diameter 'D' and inside diameter ‟d‟ subjected to a constant twisting moment 'T' along its length. If the maximum shear stress produced in the shaft is σs then the twisting moment 'T' is given by: 

Detailed Solution for Test: Torsion - 2 - Question 15

Test: Torsion - 2 - Question 16

A hollow shaft of length L is fixed at its both ends. It is subjected to torque T at a  distance of  L/3 from one end. What is the reaction torque at the other end of the shaft?  

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Test: Torsion - 2 - Question 17

Two steel shafts, one solid of diameter D and the other hollow of outside diameter D and inside diameter D/2, are twisted to the same angle of twist per unit length. The ratio of maximum shear stress in solid shaft to that in the hollow shaft is: 

Detailed Solution for Test: Torsion - 2 - Question 17

as outside diameter of both the shaft is D so τ is same for both the cases.

Test: Torsion - 2 - Question 18

A stepped solid circular shaft shown in the given figure is built-in at its ends and is subjected to a torque To at the shoulder section. The ratio of reactive torque T1 and T2 at the ends is (J1 and J2 are polar moments of inertia): 

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Test: Torsion - 2 - Question 19

A steel shaft of outside diameter 100 mm is solid over one half of its length and hollow over the other half. Inside diameter of hollow portion is 50 mm. The shaft if held rigidly at two ends and a pulley is mounted at its midsection i.e., at the junction of solid and hollow portions. The shaft is twisted by applying torque on the pulley. If the torque carried by the solid portion of the shaft is 16000kg-m, then the torque carried by the hollow portion of the shaft will be:

Detailed Solution for Test: Torsion - 2 - Question 19

Test: Torsion - 2 - Question 20

While transmitting the same power by a shaft, if its speed is doubled, what should be its new diameter if the maximum shear stress induced in the shaft remains same? 

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Test: Torsion - 2 - Question 21

The equivalent bending moment under combined action of bending moment M and torque T is:

Test: Torsion - 2 - Question 22

A shaft was initially subjected to bending moment and then was subjected to torsion. If the magnitude of bending moment is found to be the same as that of the torque, then the ratio of maximum bending stress to shear stress would be:

Detailed Solution for Test: Torsion - 2 - Question 22

Use equivalent bending moment formula,

1st case: Equivalent bending moment (Me) = M

2nd case: Equivalent bending moment 

Test: Torsion - 2 - Question 23

The ratio of torque carrying capacity of a solid shaft to that of a hollow shaft is given by:

= Inside diameter of hollow shaft and Do = Outside diameter of hollow 
shaft. Shaft material is the same.

Detailed Solution for Test: Torsion - 2 - Question 23

τ should be same for both hollow and solid shaft

Test: Torsion - 2 - Question 24

What is the maximum torque transmitted by a hollow shaft of external radius R and internal radius r?

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Test: Torsion - 2 - Question 25

A circular section rod ABC is fixed at ends A and C. It is subjected to torque T at B. AB = BC = L and the polar moment of inertia of portions AB and BC are 2 J and J respectively. If G is the modulus of rigidity, what is the angle of twist at point B? 

Detailed Solution for Test: Torsion - 2 - Question 25

Test: Torsion - 2 - Question 26

Assertion (A): In theory of torsion, shearing strains increase radically away from the longitudinal axis of the bar.

Reason (R): Plane transverse sections before loading remain plane after the torque is applied.

Test: Torsion - 2 - Question 27

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 for Test: Torsion - 2 - Question 27

  Here T & τ are same, so J/R should be same i.e. polar modulus of section will be same.

Test: Torsion - 2 - Question 28

A shaft is subjected to a bending moment M = 400 N.m alld torque T = 300 N.m The equivalent bending moment is: 

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Test: Torsion - 2 - Question 29

A solid shaft of diameter d is replaced by a hollow shaft of the same material and length.  The outside diameter of hollow shaft 2d/√3 while the inside diameter is d/√3 What is the ratio of the torsional stiffness of the hollow shaft to that of the solid shaft? 

Detailed Solution for Test: Torsion - 2 - Question 29

Torsional stiffness 

Test: Torsion - 2 - Question 30

Two shafts having the same length and material are joined in series. If the ra tio of the diameter of the first shaft to that of the second shaft is 2, then the ratio of the angle of twist of the first shaft to that of the second shaft is:

Detailed Solution for Test: Torsion - 2 - Question 30

Angle of twist is proportional 

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