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7. CLUTCHES And BEARINGS
(12 Marks)
What is clutch?
 A Clutch is a machine
member used to connect the
driving shaft to a driven shaft,
so that the driven shaft may
be started or stopped without
stopping the driving shaft.
Function Of Clutch
Clutch is used to transmit power from
driven shaft to driving shaft.
In automobiles, where vehicle can be
stopped for a while or to change the
gear, the requirement is that the driven
shaft should stop but the engine should
run naturally under the no load condition.
 This is achieved by using clutch
mounted between engine shaft and
gearbox shaft and which is operated by a
lever. (E-C-G)
TYPES OF CLUTCH
Types of
Clutches
Positive
Clutch
Friction
Clutch
Plate Or
Disc Clutch
Single
plate clutch
Multiplate
Clutch
Cone
Clutch
Centrifugal
Clutch
1.Single Plate clutch
2R
1R
rδ
1R
2R
Design of clutch plate
Where,
 W=total axial load
 R1=External radius of clutch plate
 R2=internal radius of the clutch plate
 P=intensity of pressure between
contacting surfaces.
 µ=coefficient of friction between
contacting surfaces
Single Plate Clutch
 Consider a elemental ring of radius ‘r’
and thickness δr on the contacting
surface.
therefore,
 Area of the ring on contacting surface
is,
 Axial load on the ring is,
δW=pressure×Area of the ring
δrr2πδA
δrr2πpδW 
Single Plate Clutch
 Frictional resistance offered by ring is,
 Frictional torque acting on the ring is,
……(1)
δWμFr 
δrrpμ2πδr)r2πμ(pFr 
r
2
r
rr
δrpμ2πδr.rrpμ2πT
rFT


Single Plate Clutch
 Torque transmitted by single plate
clutch is obtained by considering
following two assumptions
(a)uniform pressure theory
(b)uniform wear theory
Single Plate Clutch
(a)uniform pressure theory:
 Assuming that the intensity of pressure
over the entire contacting surface area is
constant,
 Then, p=constant
….(2)
 Total torque transmitted by single plate
clutch can be obtain by integrating
Equation
 2
2
2
1 RRπ
W
areasurfacecontacting
load
p


Single Plate Clutch
 (1)within limit R2 to R1 we
[∵p=Constant]
 
1
2
R
R
2
T
0
r δrrpμ2πΤ
 
1
2
R
R
2
T
0
r δrrpμ2πΤ
 3
2
3
1
R
R
3
RRpμπ
3
2
3
r
pμ2πΤ
2
1







…….(A)
 Equation (A) gives the torque transmitted by
single plate clutch due to friction considering
uniform pressure theory.
   3
2
3
12
2
2
1
RR
RRπ
W
μπ
3
2
Τ 


 








 2
2
2
1 RRπ
W
p
 
 







 2
2
2
1
3
2
3
1
RR
RR
μ W
3
2
Τ
Single Plate Clutch
(b) Uniform Wear Theory
 In this theory, we are considering that wear
which take place is uniform over the entire
contacting surface i.e.
P.r=constant
P.r=C
P=C/r …...(3)
Single Plate Clutch
 Axial load acting on the ring is
δW=p 2π r δr
δW=2 π C δr …(4)
 Integrating above Equation(4) within
limit we get,
δrC2π
r
C
δW 
 
w
0
R
R
1
2
δrC2πδW
Single Plate Clutch
……….(5)
 We know that frictional torque acting on ring
is,
…….(6)
   
 21
21
R
R
RR2π
W
C
RRC2rC2πW 1
2


 
δrrCμ2πΤδrr
r
C
μπ2Τ
δrrpμ2πΤ
r
2
r
2
r


Single Plate Clutch
 Torque transmitted by single plate
clutch can be obtain by integrating the
Equation (4 ) within the limit R2 to R1
we get,
 
2
RR
Cμ2π
2
r
Cμ2πΤ
δrrCμ2πΤ
δrrCμ2πΤ
2
2
2
1
R
R
2
R
R
T
0
r
R
R
T
0
r
1
2
2
2
2
2












Single Plate Clutch
 This is the torque transmitted by
single plate due to friction considering
uniform wear theory.
 
 
 
 
μWπ
2
1
Τ
RR
RR
μWπ
2
1
Τ
RR
RR2π
W
μπΤ
21
2
2
2
1
2
2
2
1
21







 21R R
Single Plate Clutch
 Power transmitted by single plate
clutch is given by,
rpminshaftofSpeedNwhere,
Watt
60
NΤ2π
P
ΤωP



2.Multiplate Clutch
 Multiplate clutch is used when
large torque is to be transmitted
e.g. motor cars and machine tools
 Multiplate clutch is used when
compact construction is required
e.g. scooters and motor cycles.
2.Multiplate Clutch
Clutch plate
For multiplate clutch
 For uniform pressure theory,
 For uniform wear theory,
 
 







 2
2
2
1
3
2
3
1
RR
RR
μ W
3
2
nΤ
 21 RRμW
2
1
nΤ 
 Intensity of pressure is maximum at the
inner radius R2 of the friction or contact
surface,
 Intensity of pressure is minimum at the
inner radius R1 of the friction or contact
surface,
2
max2max
R
C
PORCRP 
1
max1max
R
C
PORCRP 
Multiplate clutch
3.Cone clutch
4.Centrifugal clutch
5.Diaphragm clutch
BEARINGS
When the shaft of machine like turbine,
propeller shaft of vehicle are subjected to axial thrust,
then to avoid its displacement from its original
position, this thrust reaction is taken by an element
which is called as bearing.
Types of bearing:
1. Pivot Bearing
2. Collar Bearing
3. Conical pivot Bearing
THANK YOU…. And……
All THE BEST

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Clutches and bearings

  • 1. 7. CLUTCHES And BEARINGS (12 Marks)
  • 2. What is clutch?  A Clutch is a machine member used to connect the driving shaft to a driven shaft, so that the driven shaft may be started or stopped without stopping the driving shaft.
  • 3. Function Of Clutch Clutch is used to transmit power from driven shaft to driving shaft. In automobiles, where vehicle can be stopped for a while or to change the gear, the requirement is that the driven shaft should stop but the engine should run naturally under the no load condition.  This is achieved by using clutch mounted between engine shaft and gearbox shaft and which is operated by a lever. (E-C-G)
  • 4. TYPES OF CLUTCH Types of Clutches Positive Clutch Friction Clutch Plate Or Disc Clutch Single plate clutch Multiplate Clutch Cone Clutch Centrifugal Clutch
  • 7. Where,  W=total axial load  R1=External radius of clutch plate  R2=internal radius of the clutch plate  P=intensity of pressure between contacting surfaces.  µ=coefficient of friction between contacting surfaces
  • 8. Single Plate Clutch  Consider a elemental ring of radius ‘r’ and thickness δr on the contacting surface. therefore,  Area of the ring on contacting surface is,  Axial load on the ring is, δW=pressure×Area of the ring δrr2πδA δrr2πpδW 
  • 9. Single Plate Clutch  Frictional resistance offered by ring is,  Frictional torque acting on the ring is, ……(1) δWμFr  δrrpμ2πδr)r2πμ(pFr  r 2 r rr δrpμ2πδr.rrpμ2πT rFT  
  • 10. Single Plate Clutch  Torque transmitted by single plate clutch is obtained by considering following two assumptions (a)uniform pressure theory (b)uniform wear theory
  • 11. Single Plate Clutch (a)uniform pressure theory:  Assuming that the intensity of pressure over the entire contacting surface area is constant,  Then, p=constant ….(2)  Total torque transmitted by single plate clutch can be obtain by integrating Equation  2 2 2 1 RRπ W areasurfacecontacting load p  
  • 12. Single Plate Clutch  (1)within limit R2 to R1 we [∵p=Constant]   1 2 R R 2 T 0 r δrrpμ2πΤ   1 2 R R 2 T 0 r δrrpμ2πΤ  3 2 3 1 R R 3 RRpμπ 3 2 3 r pμ2πΤ 2 1       
  • 13. …….(A)  Equation (A) gives the torque transmitted by single plate clutch due to friction considering uniform pressure theory.    3 2 3 12 2 2 1 RR RRπ W μπ 3 2 Τ               2 2 2 1 RRπ W p             2 2 2 1 3 2 3 1 RR RR μ W 3 2 Τ
  • 14. Single Plate Clutch (b) Uniform Wear Theory  In this theory, we are considering that wear which take place is uniform over the entire contacting surface i.e. P.r=constant P.r=C P=C/r …...(3)
  • 15. Single Plate Clutch  Axial load acting on the ring is δW=p 2π r δr δW=2 π C δr …(4)  Integrating above Equation(4) within limit we get, δrC2π r C δW    w 0 R R 1 2 δrC2πδW
  • 16. Single Plate Clutch ……….(5)  We know that frictional torque acting on ring is, …….(6)      21 21 R R RR2π W C RRC2rC2πW 1 2     δrrCμ2πΤδrr r C μπ2Τ δrrpμ2πΤ r 2 r 2 r  
  • 17. Single Plate Clutch  Torque transmitted by single plate clutch can be obtain by integrating the Equation (4 ) within the limit R2 to R1 we get,   2 RR Cμ2π 2 r Cμ2πΤ δrrCμ2πΤ δrrCμ2πΤ 2 2 2 1 R R 2 R R T 0 r R R T 0 r 1 2 2 2 2 2            
  • 18. Single Plate Clutch  This is the torque transmitted by single plate due to friction considering uniform wear theory.         μWπ 2 1 Τ RR RR μWπ 2 1 Τ RR RR2π W μπΤ 21 2 2 2 1 2 2 2 1 21         21R R
  • 19. Single Plate Clutch  Power transmitted by single plate clutch is given by, rpminshaftofSpeedNwhere, Watt 60 NΤ2π P ΤωP   
  • 20. 2.Multiplate Clutch  Multiplate clutch is used when large torque is to be transmitted e.g. motor cars and machine tools  Multiplate clutch is used when compact construction is required e.g. scooters and motor cycles.
  • 22.
  • 23.
  • 25. For multiplate clutch  For uniform pressure theory,  For uniform wear theory,             2 2 2 1 3 2 3 1 RR RR μ W 3 2 nΤ  21 RRμW 2 1 nΤ 
  • 26.  Intensity of pressure is maximum at the inner radius R2 of the friction or contact surface,  Intensity of pressure is minimum at the inner radius R1 of the friction or contact surface, 2 max2max R C PORCRP  1 max1max R C PORCRP 
  • 31. BEARINGS When the shaft of machine like turbine, propeller shaft of vehicle are subjected to axial thrust, then to avoid its displacement from its original position, this thrust reaction is taken by an element which is called as bearing. Types of bearing: 1. Pivot Bearing 2. Collar Bearing 3. Conical pivot Bearing