Mechanical Engineering - Machine Design - Discussion

Discussion Forum : Machine Design - Section 1 (Q.No. 47)
47.
Two shafts A and B under pure torsion are of identical length and identical weight and are made of the same material. The shaft A is solid and the shaft B is hollow. We can say that
shaft B is better than shaft A
shaft A is better than shaft B
both the shafts are equally good
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
16 comments Page 1 of 2.

Ganeshr said:   4 years ago
Here B can transmit more power/torque than A.
(1)

Balasaheb said:   5 years ago
The weight & Length of the shafts are identical means the hollow shaft diameter naturally going to increase hence the Hollo shaft will have the more torsional strength. Hence hollow shaft with the same weight will give move strength.

Jayachandran said:   8 years ago
If two shaft are in equal weight then the cross-section of the hollow shaft remains the shear stress and transmitted torque.

YUGAL said:   8 years ago
If two shafts of same weight and cross section then hollow shaft having more stength. If two shaft of same diameter then solid shaft having more strength and stiffness.

PRANAB JYOTI DUTTA said:   8 years ago
From the torsion equation, we may answer this question. For identical length and weight the polar moment of inertia for the hollow shaft is less than that of a solid shaft, as a result, the shear stress for the hollow shaft is more than the solid shaft. That means the resisting force to torsion is more in a case of tthe hollow shaft, hence it is better compared to the solid shaft.

Sameh Bazan said:   9 years ago
Please note that the two shafts have same length and weight, then you can conclude that the outer DIA of the Hollow Section will be bigger than Solid rod, the greater the DIA the Greater the Torsion Resistance (Power Transmitted).

Another Aspect the Polar moment of inertia, which is inversely probational with the Shear stress.

τ = Tp/J.
τ : Shear Stress.
T : Transmitted Torque.
P : Radial Distance to Shaft Center.
J : Polar moment of inertia.

Syed Farhan Javed said:   9 years ago
Hollow shaft can bear more Shear Stress.

Shalabh Suradhaniwar said:   1 decade ago
Shear Stress inversely proportional to J.

J in hollow = Pi*(Do-Di)4/32.

J less, so hollow can bear more Torsion.

J in solid = Pi*(Do)4/32.

J more, so solid can bear less Torsion.

Turkish mechanical engineer said:   1 decade ago
If they have same weight and same length that means they have same area of cross section. But shaft with hollow is better because it has more J (polar second moments of area) which is important on shearing load.

Muttinagouda raviraj said:   1 decade ago
A is better than B. Because as the area of cross section increases stress acting on material can distributed stress to entire area. And it has ability to resist the applied load.


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