A solid shaft is replaced by a hollow shaft of the same material and weight. To achieve the same strength in torsion, the outer diameter of the hollow shaft should be:
-
A.
less than the diameter of the solid shaft
-
B.
independent of the diameter of the solid shaft
-
C.
greater than the diameter of the solid shaft
-
D.
equal to the diameter of the solid shaft
Correct Answer:
C. greater than the diameter of the solid shaft
Explanation:
To achieve the same torsional strength as a solid shaft using a hollow shaft of the same material and weight, the outer diameter of the hollow shaft must be greater than the diameter of the solid shaft. This is because torsional stress is most concentrated at the outer surface of a shaft, while the central core carries very little load. By removing the underutilized material from the center and redistributing it to a larger radius, the hollow shaft increases its polar moment of inertia. This larger geometry allows the hollow shaft to resist the same amount of torque with less material, making it a more structurally efficient design for power transmission.
Click below to open Discussion & Feedback
0 Issues
Please
login to comment or Report Issues.