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Gear
(Kinematics Of Machine)
Bhaumik Patel,
MED, SVBIT.
• CONTENTS
• POWER TRANSMISSION
• GEAR
• TYPES OF GEARS
• NOMENCLATURE
• APPLICATIONS OF GEARS
• VELOCITY RATIO
• GEAR TRAINS
• EXAMPLE PROBLEMS AND QUESTIONS
GEAR
Bhaumik Patel Mechanical Engineerng Dept. 2
GEAR…..
• Power transmission is the movement of energy
from its place of generation to a location where
it is applied to performing useful work
• A gear is a component within a transmission
device that transmits rotational force to another
gear or device
Bhaumik Patel Mechanical Engineerng Dept. 3
TYPES OF GEARS
1. According to the position of axes of the
shafts.
a. Parallel
1.Spur Gear
2.Helical Gear
3.Rack and Pinion
b. Intersecting
Bevel Gear
c. Non-intersecting and Non-parallel
worm and worm gears
Bhaumik Patel Mechanical Engineerng Dept. 4
SPUR GEAR
• Teeth is parallel to axis
of rotation
• Transmit power from
one shaft to another
parallel shaft
• Used in Electric
screwdriver, oscillating
sprinkler, windup alarm
clock, washing machine
and clothes dryer
Bhaumik Patel Mechanical Engineerng Dept. 5
External and Internal spur Gear…
Bhaumik Patel Mechanical Engineerng Dept. 6
Helical Gear
• The teeth on helical gears are cut at an angle
to the face of the gear
• This gradual engagement makes helical gears
operate much more smoothly and quietly than
spur gears
• One interesting thing about helical gears is
that if the angles of the gear teeth are correct,
they can be mounted on perpendicular shafts,
adjusting the rotation angle by 90 degrees
Bhaumik Patel Mechanical Engineerng Dept. 7
Helical Gear…
Bhaumik Patel Mechanical Engineerng Dept. 8
Herringbone gears
• To avoid axial thrust, two
helical gears of opposite
hand can be mounted side
by side, to cancel resulting
thrust forces
• Herringbone gears are
mostly used on heavy
machinery.
Bhaumik Patel Mechanical Engineerng Dept. 9
Rack and pinion
• Rack and pinion gears
are used to convert
rotation (From the
pinion) into linear
motion (of the rack)
• A perfect example of this
is the steering system on
many cars
Bhaumik Patel Mechanical Engineerng Dept. 10
Bevel gears
• Bevel gears are useful when the direction of a shaft's
rotation needs to be changed
• They are usually mounted on shafts that are 90
degrees apart, but can be designed to work at other
angles as well
• The teeth on bevel gears can be straight, spiral or
hypoid
• locomotives, marine applications, automobiles,
printing presses, cooling towers, power plants, steel
plants, railway track inspection machines, etc.
Bhaumik Patel Mechanical Engineerng Dept. 11
Straight and Spiral Bevel Gears
Bhaumik Patel Mechanical Engineerng Dept. 12
WORM AND WORM GEAR
• Worm gears are used when large gear reductions are
needed. It is common for worm gears to have
reductions of 20:1, and even up to 300:1 or greater
• Many worm gears have an interesting property that
no other gear set has: the worm can easily turn the
gear, but the gear cannot turn the worm
• Worm gears are used widely in material handling
and transportation machinery, machine tools,
automobiles etc
Bhaumik Patel Mechanical Engineerng Dept. 13
WORM AND WORM GEAR
Bhaumik Patel Mechanical Engineerng Dept. 14
NOMENCLATURE OF SPUR
GEARS
Bhaumik Patel Mechanical Engineerng Dept. 15
NOMENCLATURE….
• Pitch surface: The surface of the imaginary rolling cylinder
(cone, etc.) that the toothed gear may be considered to replace.
• Pitch circle: A right section of the pitch surface.
• Addendum circle: A circle bounding the ends of the teeth, in a
right section of the gear.
• Root (or dedendum) circle: The circle bounding the spaces
between the teeth, in a right section of the gear.
• Addendum: The radial distance between the pitch circle and
the addendum circle.
• Dedendum: The radial distance between the pitch circle and
the root circle.
• Clearance: The difference between the dedendum of one gear
and the addendum of the mating gear.
Bhaumik Patel Mechanical Engineerng Dept. 16
NOMENCLATURE….
• Face of a tooth: That part of the tooth surface lying outside
the pitch surface.
• Flank of a tooth: The part of the tooth surface lying inside the
pitch surface.
• Circular thickness (also called the tooth thickness): The
thickness of the tooth measured on the pitch circle. It is the
length of an arc and not the length of a straight line.
• Tooth space: pitch diameter The distance between adjacent
teeth measured on the pitch circle.
• Backlash: The difference between the circle thickness of one
gear and the tooth space of the mating gear.
• Circular pitch (Pc) : The width of a tooth and a space,
measured on the pitch circle.
N
D
Pc

Bhaumik Patel Mechanical Engineerng Dept. 17
NOMENCLATURE….
• Diametral pitch (Pd): The number of teeth of a gear unit pitch
diameter. The diametral pitch is, by definition, the number of
teeth divided by the pitch diameter. That is,
Where
Pd = diametral pitch
N = number of teeth
D = pitch diameter
• Module (m): Pitch diameter divided by number of teeth. The
pitch diameter is usually specified in inches or millimeters; in
the former case the module is the inverse of diametral pitch.
m = D/N
D
N
Pd 
Bhaumik Patel Mechanical Engineerng Dept. 18
VELOCITY RATIO OF GEAR
DRIVE
d = Diameter of the wheel
N =Speed of the wheel
ω = Angular speed
velocity ratio (n) =
2
1
1
2
1
2
d
d
N
N



Bhaumik Patel Mechanical Engineerng Dept. 19
GEAR TRAINS
• A gear train is two or more gear working
together by meshing their teeth and turning
each other in a system to generate power and
speed
• It reduces speed and increases torque
• Electric motors are used with the gear systems
to reduce the speed and increase the torque
Bhaumik Patel Mechanical Engineerng Dept. 20
Types of Gear Trains
• Simple gear train
• Compound gear train
• Planetary gear train
Simple Gear Train
• The most common of the gear train is the gear pair
connecting parallel shafts. The teeth of this type can
be spur, helical or herringbone.
• Only one gear may rotate about a single axis
Bhaumik Patel Mechanical Engineerng Dept. 21
Simple Gear Train
Bhaumik Patel Mechanical Engineerng Dept. 22
Compound Gear Train
• For large velocities,
compound
arrangement is
preferred
• Two or more gears
may rotate about a
single axis
Bhaumik Patel Mechanical Engineerng Dept. 23
Planetary Gear Train (Epicyclic Gear Train)
Bhaumik Patel Mechanical Engineerng Dept. 24
Planetary Gear Train…
• In this train, the blue gear has six times the diameter
of the yellow gear
• The size of the red gear is not important because it is
just there to reverse the direction of rotation
• In this gear system, the yellow gear (the sun) engages
all three red gears (the planets) simultaneously
• All three are attached to a plate (the planet carrier),
and they engage the inside of the blue gear (the ring)
instead of the outside.
Bhaumik Patel Mechanical Engineerng Dept. 25
Planetary Gear Train…
• Because there are three red gears instead of
one, this gear train is extremely rugged.
• planetary gear sets is that they can produce
different gear ratios depending on which gear
you use as the input, which gear you use as the
output, and which one you hold still.
Bhaumik Patel Mechanical Engineerng Dept. 26
Planetary Gear Train…
• They have higher gear ratios.
• They are popular for automatic transmissions
in automobiles.
• They are also used in bicycles for controlling
power of pedaling automatically or manually.
• They are also used for power train between
internal combustion engine and an electric
motor
Bhaumik Patel Mechanical Engineerng Dept. 27
Short Quetions
• What is power transmission?
• Why gear drives are called positively driven?
• What is backlash in gears?
• What are the types of gears available?
• What is gear train? Why gear trains are used?
• Why intermediate gear in simple gear train is called idler?
• What is the advantage of using helical gear over spur gear?
• List out the applications of gears
• Define the term ‘module’ in gear tooth
• What is herringbone gear?
Bhaumik Patel Mechanical Engineerng Dept. 28
Essay type questions
• With sketch explain various types of gears
• With sketch explain three types of gear trains
• With neat sketch explain the nomenclature of
spur gear
• Write the applications, advantages and
disadvantages of gear drives
Bhaumik Patel Mechanical Engineerng Dept. 29

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Gear kom

  • 2. • CONTENTS • POWER TRANSMISSION • GEAR • TYPES OF GEARS • NOMENCLATURE • APPLICATIONS OF GEARS • VELOCITY RATIO • GEAR TRAINS • EXAMPLE PROBLEMS AND QUESTIONS GEAR Bhaumik Patel Mechanical Engineerng Dept. 2
  • 3. GEAR….. • Power transmission is the movement of energy from its place of generation to a location where it is applied to performing useful work • A gear is a component within a transmission device that transmits rotational force to another gear or device Bhaumik Patel Mechanical Engineerng Dept. 3
  • 4. TYPES OF GEARS 1. According to the position of axes of the shafts. a. Parallel 1.Spur Gear 2.Helical Gear 3.Rack and Pinion b. Intersecting Bevel Gear c. Non-intersecting and Non-parallel worm and worm gears Bhaumik Patel Mechanical Engineerng Dept. 4
  • 5. SPUR GEAR • Teeth is parallel to axis of rotation • Transmit power from one shaft to another parallel shaft • Used in Electric screwdriver, oscillating sprinkler, windup alarm clock, washing machine and clothes dryer Bhaumik Patel Mechanical Engineerng Dept. 5
  • 6. External and Internal spur Gear… Bhaumik Patel Mechanical Engineerng Dept. 6
  • 7. Helical Gear • The teeth on helical gears are cut at an angle to the face of the gear • This gradual engagement makes helical gears operate much more smoothly and quietly than spur gears • One interesting thing about helical gears is that if the angles of the gear teeth are correct, they can be mounted on perpendicular shafts, adjusting the rotation angle by 90 degrees Bhaumik Patel Mechanical Engineerng Dept. 7
  • 8. Helical Gear… Bhaumik Patel Mechanical Engineerng Dept. 8
  • 9. Herringbone gears • To avoid axial thrust, two helical gears of opposite hand can be mounted side by side, to cancel resulting thrust forces • Herringbone gears are mostly used on heavy machinery. Bhaumik Patel Mechanical Engineerng Dept. 9
  • 10. Rack and pinion • Rack and pinion gears are used to convert rotation (From the pinion) into linear motion (of the rack) • A perfect example of this is the steering system on many cars Bhaumik Patel Mechanical Engineerng Dept. 10
  • 11. Bevel gears • Bevel gears are useful when the direction of a shaft's rotation needs to be changed • They are usually mounted on shafts that are 90 degrees apart, but can be designed to work at other angles as well • The teeth on bevel gears can be straight, spiral or hypoid • locomotives, marine applications, automobiles, printing presses, cooling towers, power plants, steel plants, railway track inspection machines, etc. Bhaumik Patel Mechanical Engineerng Dept. 11
  • 12. Straight and Spiral Bevel Gears Bhaumik Patel Mechanical Engineerng Dept. 12
  • 13. WORM AND WORM GEAR • Worm gears are used when large gear reductions are needed. It is common for worm gears to have reductions of 20:1, and even up to 300:1 or greater • Many worm gears have an interesting property that no other gear set has: the worm can easily turn the gear, but the gear cannot turn the worm • Worm gears are used widely in material handling and transportation machinery, machine tools, automobiles etc Bhaumik Patel Mechanical Engineerng Dept. 13
  • 14. WORM AND WORM GEAR Bhaumik Patel Mechanical Engineerng Dept. 14
  • 15. NOMENCLATURE OF SPUR GEARS Bhaumik Patel Mechanical Engineerng Dept. 15
  • 16. NOMENCLATURE…. • Pitch surface: The surface of the imaginary rolling cylinder (cone, etc.) that the toothed gear may be considered to replace. • Pitch circle: A right section of the pitch surface. • Addendum circle: A circle bounding the ends of the teeth, in a right section of the gear. • Root (or dedendum) circle: The circle bounding the spaces between the teeth, in a right section of the gear. • Addendum: The radial distance between the pitch circle and the addendum circle. • Dedendum: The radial distance between the pitch circle and the root circle. • Clearance: The difference between the dedendum of one gear and the addendum of the mating gear. Bhaumik Patel Mechanical Engineerng Dept. 16
  • 17. NOMENCLATURE…. • Face of a tooth: That part of the tooth surface lying outside the pitch surface. • Flank of a tooth: The part of the tooth surface lying inside the pitch surface. • Circular thickness (also called the tooth thickness): The thickness of the tooth measured on the pitch circle. It is the length of an arc and not the length of a straight line. • Tooth space: pitch diameter The distance between adjacent teeth measured on the pitch circle. • Backlash: The difference between the circle thickness of one gear and the tooth space of the mating gear. • Circular pitch (Pc) : The width of a tooth and a space, measured on the pitch circle. N D Pc  Bhaumik Patel Mechanical Engineerng Dept. 17
  • 18. NOMENCLATURE…. • Diametral pitch (Pd): The number of teeth of a gear unit pitch diameter. The diametral pitch is, by definition, the number of teeth divided by the pitch diameter. That is, Where Pd = diametral pitch N = number of teeth D = pitch diameter • Module (m): Pitch diameter divided by number of teeth. The pitch diameter is usually specified in inches or millimeters; in the former case the module is the inverse of diametral pitch. m = D/N D N Pd  Bhaumik Patel Mechanical Engineerng Dept. 18
  • 19. VELOCITY RATIO OF GEAR DRIVE d = Diameter of the wheel N =Speed of the wheel ω = Angular speed velocity ratio (n) = 2 1 1 2 1 2 d d N N    Bhaumik Patel Mechanical Engineerng Dept. 19
  • 20. GEAR TRAINS • A gear train is two or more gear working together by meshing their teeth and turning each other in a system to generate power and speed • It reduces speed and increases torque • Electric motors are used with the gear systems to reduce the speed and increase the torque Bhaumik Patel Mechanical Engineerng Dept. 20
  • 21. Types of Gear Trains • Simple gear train • Compound gear train • Planetary gear train Simple Gear Train • The most common of the gear train is the gear pair connecting parallel shafts. The teeth of this type can be spur, helical or herringbone. • Only one gear may rotate about a single axis Bhaumik Patel Mechanical Engineerng Dept. 21
  • 22. Simple Gear Train Bhaumik Patel Mechanical Engineerng Dept. 22
  • 23. Compound Gear Train • For large velocities, compound arrangement is preferred • Two or more gears may rotate about a single axis Bhaumik Patel Mechanical Engineerng Dept. 23
  • 24. Planetary Gear Train (Epicyclic Gear Train) Bhaumik Patel Mechanical Engineerng Dept. 24
  • 25. Planetary Gear Train… • In this train, the blue gear has six times the diameter of the yellow gear • The size of the red gear is not important because it is just there to reverse the direction of rotation • In this gear system, the yellow gear (the sun) engages all three red gears (the planets) simultaneously • All three are attached to a plate (the planet carrier), and they engage the inside of the blue gear (the ring) instead of the outside. Bhaumik Patel Mechanical Engineerng Dept. 25
  • 26. Planetary Gear Train… • Because there are three red gears instead of one, this gear train is extremely rugged. • planetary gear sets is that they can produce different gear ratios depending on which gear you use as the input, which gear you use as the output, and which one you hold still. Bhaumik Patel Mechanical Engineerng Dept. 26
  • 27. Planetary Gear Train… • They have higher gear ratios. • They are popular for automatic transmissions in automobiles. • They are also used in bicycles for controlling power of pedaling automatically or manually. • They are also used for power train between internal combustion engine and an electric motor Bhaumik Patel Mechanical Engineerng Dept. 27
  • 28. Short Quetions • What is power transmission? • Why gear drives are called positively driven? • What is backlash in gears? • What are the types of gears available? • What is gear train? Why gear trains are used? • Why intermediate gear in simple gear train is called idler? • What is the advantage of using helical gear over spur gear? • List out the applications of gears • Define the term ‘module’ in gear tooth • What is herringbone gear? Bhaumik Patel Mechanical Engineerng Dept. 28
  • 29. Essay type questions • With sketch explain various types of gears • With sketch explain three types of gear trains • With neat sketch explain the nomenclature of spur gear • Write the applications, advantages and disadvantages of gear drives Bhaumik Patel Mechanical Engineerng Dept. 29