Outside diameter of a hollow shaft is twice its inside diameter. Ratio of torque carrying capacity to that of a solid shaft of same outside diameter and same material is

Question

Question

This question was previously asked in

UKPSC JE Mechanical 2013 Official Paper I

Answer 1

Concept:

Stress in the hollow shaft is given by:

where do = outside diameter, di = inside diameter

Stress in the solid shaft is given by:

Calculation:

Given:

For hollow shaft = do = 2di

For solid shaft d = do

Stress in the hollow shaft:

Stress in solid shaft:

Now, As τh = τs