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

Compute the total force which shall be acting on the springs, Compute the t...

Compute the total force which shall be acting on the springs: An automobile of mass 1300 kg, travelling at a speed of 60 kmph hits a depression in the road that has a radius o

Determine the joint rotations, The rigidly jointed frame shown in Figure ha...

The rigidly jointed frame shown in Figure has bending stiffnesses such that EI AB = 1000kNm 2 and EI BC = EICD = 1600kNm 2 . (i) Determine the joint rotations at B and C.

Battery electrolyte and gases and brake fluid safety tips, Battery Electrol...

Battery Electrolyte and Gases Battery emits explosive gases, keep sparks and flames away. Ensure adequate ventilation while charging the battery. Brake Fluid Spilling

Determine the brake mean effective pressure, A 4 cylinder petrol engine ope...

A 4 cylinder petrol engine operates on the 4-stroke cycle. The bore of each cylinder is 70mm and stroke 100mm. The clearance volume per cylinder is 60cm3. At a speed of 4000rpm, th

Cutting test, Cutting Test:             Once the sand blasted blade we...

Cutting Test:             Once the sand blasted blade were went through the washing process. Quality Control technician will randomly pick 15 pieces of blade to go for cutting

What is the net angle of twist at the free end, What is the net angle of tw...

What is the net angle of twist at the free end: The stepped steel shaft illustrated in Figure is subjected to a torque (T) at the free end and a torque (2T) in the opposite di

What do you mean by contractility, Q. What do you mean by Contractility? ...

Q. What do you mean by Contractility? Heart being a muscular pump the ability to eject blood depends on the ability to contract. Another factor is the resistance in the vascula

Geometric defects-undercut-excess reinforcement-distortion, Geometric Defec...

Geometric Defects   Undercut Undercut represents a depression into the base metal adjacent to the toe of the weld and if it forms a notch, it is a potential danger for th

Example of reduce system to a single force and couple, Example of Reduce sy...

Example of Reduce system to a single force and couple: A system of parallel forces is acting on rigid bar as shown in the figure given below. Reduce this system to  a sing

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