Torque carried by the hollow shaft, Mechanical Engineering

Assignment Help:

Torque carried by the hollow shaft:

A hollow and a solid shaft of similar material have the same weight when the inner diameter of the hollow shaft is half its outer diameter. What shall be the torque carried by the hollow shaft if the solid shaft may carry a torque T for alike maximum shearing stress in both of the shafts.

Solution

For hollow shaft, di  =  do /2

∴  921_Torque carried by the hollow shaft.png

 

∴ Shearing stress on surface

 1949_Torque carried by the hollow shaft1.png ---------------- (i)

For alike material and alike weight of hollow and solid shafts

1345_Torque carried by the hollow shaft2.png

i.e.  2357_Torque carried by the hollow shaft3.png  ----------- (ii)

If on solid shaft torque T induces maximum stress τh on surface, then

τhm = 16T / π d3

Utilizing d from Eq. (ii)

   2082_Torque carried by the hollow shaft4.png-------------------- (iii)

Equating τhm from Eqs. (i) and (iii)

1208_Torque carried by the hollow shaft5.png

Th  = (0.9375/0.625 )T

 = 1.442 T

Hollow shaft shall carry 44.2% more torque if two shafts weigh equal and are subjected to similar surface stress.


Related Discussions:- Torque carried by the hollow shaft

Types of bridges, Types of Bridges and their Suitability: Bridging is ...

Types of Bridges and their Suitability: Bridging is a specialized filed of engineering science. It has very high degree of sill and expertise in this field, gathered from brid

Objectives service and maintenance procedures , Objectives After study...

Objectives After studying this unit, you should be able to explain various procedures in service and maintenance, and appreciate the importance of the inspections

Mathematics, solve the following differential equation: dy/dx-(1+1/x)y=y^2

solve the following differential equation: dy/dx-(1+1/x)y=y^2

First law of thermodynamics, common formula for first law of thermodynamics...

common formula for first law of thermodynamics #Minimum 100 words accepted#

Parts of wilson hartnell governor, what are the parts of wilson hartnell go...

what are the parts of wilson hartnell governor with their designation?

Advantages of resistance welding, Advantages of resistance welding   ...

Advantages of resistance welding   1. Resistance welding is very fast compared to arc welding. 2. Almost any combination of metals can be resistance welded provided necessa

Newtons third law, Problem - Newton's Third Law Newton's Third Law of M...

Problem - Newton's Third Law Newton's Third Law of Motion states that if two objects interact, the force F 12 exerted by object 1 on object 2 is equal in magnitude and oppos

Prove the fourier series expansion, (a) Prove that the fourier series expan...

(a) Prove that the fourier series expansion for the function x(t) described in the finite interval -π ≤ t≤ π x(t) = 0 -π ≤ t ≤ 0 x(t) = sint 0 ≤ t ≤ π (b) Represent t

Incompletely constrained motion-kinematic chain, Incompletely Constrained M...

Incompletely Constrained Motion: While a connection among the elements, building a pair is such that the constrained motion is not done by itself, but by some other means. Such a

Determine the centroid of the area, Determine the centroid of the area: ...

Determine the centroid of the area: Determine the centroid of the area OBDC Solution The trapezium area is divided in two simple areas,  (i)        A 1 = Rectangle

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd