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)
Arslan said:
4 years ago
The Hollow shaft of SAME mass will only be stronger than solid shaft of the same mass. So, the correct answer is 15/16.
Krushna said:
7 years ago
Yes, the correct Answer is 16/15.
MAnish said:
7 years ago
(τ)hollow = 16/15(τ)solid.
Chandrashekar said:
7 years ago
I agree @Bharadwaz and @Avtar.
Avtar said:
7 years ago
Answer 16/15.
Hollow shaft is always stronger than solid shaft.
Hollow shaft is always stronger than 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.
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.
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.
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.
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