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punita ojha Grade: 10
        

why is hollow shaft better than solid shaft?please explain with mathematical proof

6 years ago

Answers : (4)

suryakanth AskiitiansExpert-IITB
105 Points
										

Dear punita,


We dont need mathematical proof for this just a simple common sense is enough.The hollow shafts can withstnad the same stress as that of solid shafts.In torsion the stress profile is a linear relationship with diameter.So the outermost surface or the outermost material of the shaft is the place where maximum stress is acting in torsion.To reduce the cost, the manufacturers prefer the hollow shaft rather than the solid shaft.so hollow shaft is better than solid shaft in terms of the cost.A solid shaft in bending or tensile or compressive forces will always be significantly stronger for the same material,dimensions and loading.


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6 years ago
SUBRAT KUMAR PANDA
18 Points
										Twisting moment or torque depends upon the distance from neutral axis to the outer most fibre in mm.
So taking same weight f material the above dimension of a hollow shaft will be greater than a solid shaft.
Now the torque produced in hollow shaft will be greater than the solid shaft.

So hollow shaft is more preferable.
2 years ago
KAPIL MANDAL
130 Points
										
Thank you sir for this answer. Thank you very much.
one year ago
SANJAY MOHAN BHATNAGAR
19 Points
										
Prabbaly, and probably only as i am not sure about it, the total kinetic energy of a rotatin body is (1/2)Iw2, where I is moment of inertia of that body. The hollow shaft has double the moment of inertia (MR2) than that of solid shaft (MR2/2), which means a hollow sharft transmits more energy to the wheel.
Sanjay Mohan Bhatnagar
one year ago
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