Test: Torsion of Shafts - 2


10 Questions MCQ Test Topicwise Question Bank for Mechanical Engineering | Test: Torsion of Shafts - 2


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QUESTION: 1

200 kW is to be transmitted by each of two separate shafts. A is running at 300 rpm and B at 350 rpm. Which shaft must have greater diameter?

Solution:


As power is same,
TA > TB

or  
∴  

QUESTION: 2

A circular bar AB of length L is fixed at end A and free at B. Torque T is acting simultaneously at B and C. What is the strain energy U stored in the bar?

Solution:

Torque on part BC = T
Torque on part AC = 2T

QUESTION: 3

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

Solution:




∴  
∴  

QUESTION: 4

If a shaft is rotating at N revolutions per minute with an applied torque TN-m, the power being transmitted by the shaft in watt is

Solution:

QUESTION: 5

For a circular shaft of diameter d subjected to torque T, the maximum value of the shear stress is

Solution:


⇒ 
∴  

QUESTION: 6

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

Solution:


∴ 

QUESTION: 7

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

Solution:

From the equation of torsion 


⇒ 

QUESTION: 8

The ratio of torque carrying capacity of solid shaft to that of a hollow shaft is given by
where K is ratio of inside to outside diameter?

Solution:

τ should be same for both hollow and solid shaft

⇒ 
⇒ 
∴  

QUESTION: 9

A shaft subjected to torsion experiences a pure shear stress τ on the surface. The maximum principal stress on the surface which is at 45° to the axis will have a value of

Solution:

QUESTION: 10

A solid shaft of diameter, d and length, L is fixed at both the ends. A torque T0 is applied at a distance L/4 from the left end as shown in figure given below.

The maximum shear stress in the shaft is

Solution:


T1 + T2 = T0        ......(i)
From the equation of torsion


T1 = 3T2         ......(ii)
From equation (i) and (ii)

⇒ 
and  

Shear stress τ ∝T
Therefore maximum shear stress in the shaft witi be due to torque T1.
⇒  

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