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MTE 401: Electromechanical

Engineering

Lecture Material# 04

Belt, Rope and Chain Drives

Md. Zahidul Islam

Assistant Professor

Department of Electrical and Electronic Engineering University of Dhaka

[email protected]

(2)

2

Ref:

Theory of Machines – R.S. Khurmi, J.K. Gupta

(3)

3

The belts or ropes are used to transmit power from one

shaft to another by means of pulleys which rotate at the

same speed or at different speeds. The amount of

power transmitted depends upon the following factors :

1.

The velocity of the belt.

2.

The tension under which the belt is placed on the

pulleys.

3.

The arc of contact between the belt and the smaller

pulley.

(4)

Selection of Belt Drives

Following are the various important factors upon

which the selection of a belt drive depends:

(5)

Types of Belt Drives

(6)

Types of Belt

(7)

1.

Flat belt:

mostly used in the factories and

workshops, where a

moderate amount of power is

to be transmitted

, from one pulley to another when

the

two pulleys are not more than 8 meters apart.

2.

V-belt

:

mostly used in the factories and

workshops, where a

moderate amount of power

is

to be transmitted, from one pulley to another, when

the

two pulleys are very near to each other

.

3.

Circular belt or rope

: mostly used in the

factories and workshops, where a

great amount of

power

is to be transmitted, from one pulley to

another, when the

two pulleys are more than 8

meters apart

.

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Material used for Belts

1. Leather belts.

2. Cotton or fabric belts

3. Rubber belt

(9)

Types of Flat Belt Drives

9

(10)

Types of Flat Belt Drives

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Types of Flat Belt Drives

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Types of Flat Belt Drives

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4. Belt Drive with Idler Pulleys: A belt drive with an idler pulley is used with shafts arranged parallel and when an open belt drive cannot be used due to small angle of contact on the smaller pulley. This type of drive is provided to obtain high velocity ratio and when the

(13)

Types of Flat Belt Drives

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(14)

Types of Flat Belt Drives

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(15)

Types of Flat Belt Drives

15

(16)

Velocity Ratio of Belt Drive

It is the

ratio between the velocities of

the driver and the follower or driven.

It may be expressed, mathematically, as

discussed below :

Let,

d

1 = Diameter of the driver,

d

2 = Diameter of the follower,

N

1 = Speed of the driver in r.p.m., and

N

2 = Speed of the follower in r.p.m.

(17)

Velocity Ratio of Belt Drive

(18)

Velocity Ratio of Compound Belt Drive

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Sometimes the power is transmitted from one shaft to another, through a number of pulleys as shown in Fig. 11.7. Consider a pulley 1 driving the pulley 2. Since the pulleys 2 and 3 are keyed to the same shaft, therefore the pulley 1 also drives the pulley 3 which, in turn, drives the pulley 4.

Let,

d1 = Diameter of the pulley 1,

N1 = Speed of the pulley 1 in r.p.m.

(19)

Velocity Ratio of Compound Belt Drive

(20)

Slip of Belt

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The motion of belts and shafts assuming a firm frictional grip between the belts and the shafts.

But sometimes, the frictional grip becomes insufficient. This may cause some forward motion of the driver without carrying the belt with it. This may also cause some forward motion of the belt without carrying the driven pulley with it. This is called slip of the belt and is generally expressed as a percentage. The result of the belt slipping is to reduce the velocity ratio of the system.

As the slipping of the belt is a common phenomenon, thus the belt should never be used where a definite velocity ratio is of importance (as in the case of hour, minute and second arms in a watch).

Let,

s1 % = Slip between the driver and the belt, and

(21)

Slip of Belt

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Slip of Belt

(23)
(24)

Solution:

(25)

Creep of Belt

When the belt passes from the slack side to the tight side,

a certain

portion of the belt extends

and it contracts again when the belt passes

from the tight side to slack side.

Due to these changes of length, there is

a relative motion between the belt and the pulley surfaces. This relative

motion is termed as

creep

.

The total effect of creep is to reduce slightly

the speed of the driven pulley or follower.

Considering creep, the velocity ratio is given by

Where,

σ1 and σ2 = Stress in the belt on the tight and slack side respectively, and

E = Young’s modulus for the material of the belt.

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(27)

Length of Open Belt Drive

(28)

Length of Open Belt Drive

(29)

Length of Open Belt Drive

(30)

Length of Open Belt Drive

(31)

Length of Open Belt Drive

(32)

Length of Open Belt Drive

(33)

Power Transmitted by Belt Drive

(34)

Ratio of Driving Tension for Flat Belt

Drive

(35)

Ratio of Driving Tension for Flat Belt

Drive

(36)

Ratio of Driving Tension for Flat Belt

Drive

(37)

Ratio of Driving Tension for Flat Belt

Drive

(38)

Ratio of Driving Tension for Flat Belt

Drive

(39)

Length of Cross Belt Drive

(40)

Length of Cross Belt Drive

(41)

Length of Cross Belt Drive

(42)

Length of Cross Belt Drive

(43)

Length of Cross Belt Drive

(44)

Determination of Angle of Contact

1. Open Belt Drives

(45)

Determination of Angle of Contact

2. Crossed Belt Drives

(46)

THANK YOU

References

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