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 1 of 2.
Arijit Adhikary said:
2 years ago
T(Hollow)/T(solid) = (D⁴-d⁴)/D⁴.
So, D⁴-(D/2)⁴/D⁴.
= 15D⁴/16D⁴.
= 15/16.
So, D⁴-(D/2)⁴/D⁴.
= 15D⁴/16D⁴.
= 15/16.
(1)
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.
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.
Gaurav said:
1 decade ago
Why answer is not 16/15 here as shear stress is inversely proportional to polar modulus?
Anoop said:
1 decade ago
It can't be 16/15 we need to compare solid with hollow shaft.
Satish babu said:
9 years ago
Actually, the correct answer is 15/16 because it is a simple formula check the textbook of strength of materials by R.K Bansal.
Saurabh Chaurasia said:
9 years ago
USE FORMULA, TAU (h) = 16T (d0^4) /pi (d0^4 - di^4) where do and di are outer and inner diameters respectively.
And Tau (s) = 16T/pi * d^3.
And Tau (s) = 16T/pi * d^3.
Bharadwaz said:
8 years ago
Actually, it is 16/15.
Since the hollow shaft is always stronger than the solid shaft.
Since the hollow shaft is always stronger than the solid shaft.
Soumik Ata said:
8 years ago
It is not mandatory that a hollow shaft always have to be strong than solid shaft. So It will be 15/16.
Avtar said:
7 years ago
Answer 16/15.
Hollow shaft is always stronger than solid shaft.
Hollow shaft is always stronger than solid shaft.
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