Mechanical Engineering - Strength of Materials - Discussion
Discussion Forum : Strength of Materials - Section 2 (Q.No. 18)
18.
Two shafts 'A' and 'B' are made of same material. The shaft 'A' is solid and has diameter D. The shaft 'B' is hollow with outer diameter D and inner diameter D/2. The strength of hollow shaft in torsion is __________ as that of solid shaft.
Discussion:
14 comments Page 2 of 2.
Anoop said:
1 decade ago
It can't be 16/15 we need to compare solid with hollow shaft.
Gaurav said:
1 decade ago
Why answer is not 16/15 here as shear stress is inversely proportional to polar modulus?
Abhishek Mishra said:
1 decade ago
For the same outer diameter, the ratio of strength in hollow shaft to that of solid shaft will varies as:
(1-(d/D)^4)
where, d is the internal diameter of hollow shaft and,
D is the outer diameter of hollow shaft.
(1-(d/D)^4)
where, d is the internal diameter of hollow shaft and,
D is the outer diameter of hollow shaft.
Nethaji said:
1 decade ago
Generally in solid and hollow shaft based on dia oly they vary.
D^4 in solid shaft.
(D^4)-[(D/2)^4] = 15/16 D^4.
So answer should be 15/16.
D^4 in solid shaft.
(D^4)-[(D/2)^4] = 15/16 D^4.
So answer should be 15/16.
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