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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,

T_{A} > T_{B}

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 τ_{s} 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 T_{0} 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:

T_{1} + T_{2} = T_{0} ......(i)

From the equation of torsion

T_{1} = 3T_{2 }......(ii)

From equation (i) and (ii)

⇒

and

Shear stress τ ∝T

Therefore maximum shear stress in the shaft witi be due to torque T_{1}.

⇒

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