Calculate tension in limbs, Mechanical Engineering

Assignment Help:

Calculate tension in limbs:

Q : A horizontal drum of belt drive carries the belt over semicircle around it. It is rotated counter clockwise to transmit a torque of 300N-m. If coefficient of friction between the belt and rope is 0.3, calculate tension in limbs 1 and 2 of belt shown in figure, and reaction on bearing. The drum is having mass of 20Kg and the belt is assumed to be mass less.

 

1841_Calculate tension in limbs1.png

Sol: Given: Torque(t) = 300N-m

Coff. of friction(µ) = 0.3

Diameter of Drum (D) = 1m, R = 0.5m

Mass of drum(m) = 20Kg.

Since angle of contact = p rad Torque = (T1  - T2).R

300 = (T1  - T2) X 0.5

T1- T2  = 600N                                                                                                                              ...(i)

And,     T1/T2  = eµθ

T1/T2  = e(0.3)p

T1 = 2.566T2                                                                                                                               ...(ii)

Solve (i) and (ii)

We get,

T1  = 983.14N                                                                .......ANS

T2  = 383.14N   .......ANS

Now reaction on bearing is opposite to mass of body, and it is equal to

R = T1  + T2  + mg

R = 983.14 + 383.14 + 20 X 9.81

R = 1562.484N                                                            .......ANS


Related Discussions:- Calculate tension in limbs

determine the mass of air, An amount of air contained in a rigid container...

An amount of air contained in a rigid container is at  T1 = 300 K.  After adding 450 kJ of heat, the air temperature increases to  T2 = 430 K.  Determine the mass of air,  m [kg],

Explain power transmission systems, The basic power transmission systems ar...

The basic power transmission systems are 1. Belt drive 2. Chain drive and 3. Gear drives. Belt drive is commonly used for transmission of power when exact velocity rat

Explain how chips are formed, Explain how chips are prepared in cutting and...

Explain how chips are prepared in cutting and how are they classified with sketches. What are the factors responsible for creation of different forms of chips?

Find the velocity of spacecraft, A space craft ‘A' has velocity 0.9 c relat...

A space craft ‘A' has velocity 0.9 c relative to the earth. Another spacecraft ‘B' overtakes A with relative velocity 0.5 c. Find the velocity of spacecraft B relative to the groun

Pulleys, what do you mean by law of belting and also explain the crowning o...

what do you mean by law of belting and also explain the crowning of pulleys ?

Helix angle, what is helix angle and how to determine it?

what is helix angle and how to determine it?

Telescopic hydraulic fork , Telescopic Hydraulic Fork: This type of suspen...

Telescopic Hydraulic Fork: This type of suspension system is used to serve for front part of motorcycle. Figure (Front Suspension Fork) shows detailed view of front fork assembly.

Determine about the extent of excavation, Determine about the extent of exc...

Determine about the extent of excavation The extent of excavation depends upon the construction problems like dewatering and uplift. In extreme cases anchoring of the box may b

Illustrates the effect of wall movement on earth pressure, Illustrates abou...

Illustrates about the effect of wall movement on earth pressure? Effect of wall movement on earth pressure About fifty years ago Terzaghi conducted a series of tests on larg

V pulley design, What will be the criteria to be looked into get the pulley...

What will be the criteria to be looked into get the pulley rpm increase

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