Mechanical Engineering - Strength of Materials - Discussion
Discussion Forum : Strength of Materials - Section 4 (Q.No. 24)
24.
Two shafts 'A' and 'B' have the same material. The shaft 'A' is solid of diameter 100 mm. The shaft 'B' is hollow with outer diameter 100 mm and inner diameter 50 mm. The torque transmitted by shaft 'B' is __________ as that of shaft 'A'.
Discussion:
12 comments Page 1 of 2.
Joel said:
10 years ago
Torque transmitted by a solid shaft: (pie)/16*(tau)*D^3.
(Here D is given 100).
Torque transmitted by a hollow shaft: (pie)/16*(tau)*((D^4 - d^4))/D.
(Here D = outer diameter = 100; d = inner diameter = 50).
Solve the above and you will get 15/16.
(Here D is given 100).
Torque transmitted by a hollow shaft: (pie)/16*(tau)*((D^4 - d^4))/D.
(Here D = outer diameter = 100; d = inner diameter = 50).
Solve the above and you will get 15/16.
(1)
Pavan said:
3 years ago
Actually, as per the direct formula.
The Ratio of torque in case of hollow and solid shafts subjected to the same maximum shear stress.
T(hollow)/T(solid) = (D^4 - d^4)/D^4.
If you substitute in this formula you get exactly 15/16.
The Ratio of torque in case of hollow and solid shafts subjected to the same maximum shear stress.
T(hollow)/T(solid) = (D^4 - d^4)/D^4.
If you substitute in this formula you get exactly 15/16.
Ankush said:
7 years ago
Strength of shaft depends upon the section modulus of shaft i.e. π/16 d^3.
Put the values of dia and compare the results.
Put the values of dia and compare the results.
Krishna said:
5 years ago
Here, we can put d = D/2 in formula.
Saurav said:
7 years ago
The correct Answer is 16/15.
(1)
Jitendra kumar yadav said:
5 years ago
The right answer is 16/15.
(1)
Julius said:
4 years ago
What's the value of τ?
(1)
Anand said:
8 years ago
Good explanation. Thanks.
Pratiksha said:
7 years ago
What is the value of tau?
Varma said:
6 years ago
16/15 is the correct one.
(3)
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