THOERY OF MECHANISMS AND MACHINES
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Transcript of THOERY OF MECHANISMS AND MACHINES
THOERY OF MECHANISMS AND MACHINES
Module-09 Gears Instructed by: Anupam Saxena Associate Professor
Department of Mechanical Engineering Indian Institute of Technology
Kanpur FB 361 Prepared by: Abhishek Attal, Abhishek Sharma Final
Year Dual Degree Student Department of Mechanical Engineering
Indian Institute of Technology Kanpur NL-312, FB369 Gears (Higher
Pair) Type of Gears Nomenclature Gear Construction
Involute Profile Gear Trains Examples, problems and questions
According to the position of axes of the shafts
Types of Gears According to the position of axes of the shafts
Parallel Spur Helical Rack and Pinion Intersecting Bevel Gear Non
intersecting Worm and worm wheel Spur Gears Used in transmitting
torque between parallel shafts
Simplest type Teeth are cut parallel to shaft axis Easy to
manufacture If one of the gears has infinite diameter, Rack and
pinion arrangement Helical Gear Used in transmitting torque between
parallel shafts
Teeth are cut at an angle with the shaft axis Helical gears can be
meshed in parallelorcrossedorientations. The angled teeth engage
more gradually than spur gear teeth, causing them to run more
smoothly and quietly Double Helical gear Bevel Gears Used to
transmit rotary motion between intersecting shafts
Tooth-bearing faces of the gears are conically shaped Bevel gears
are most often mounted on shafts that are 90 degrees apart, but can
be designed to work at other angles as well. The pitch surface of
bevel gears is acone Worm and Worm Gear Used for high Gear
ratios
Direction of transmission (input shaft vs output shaft) is not
reversible when using large reduction ratios Used in wiper motors
Fundamental Law of Gearing
The condition to maintain a constant angular velocity ratio
betweentwo gears is that the common normal at the point of contact
shouldmeet the line joining the centers at a fixed point.
Terminology (Spur?) Pinion and wheel: small pinion, large
wheel
Pitch Curve: theoretical curve along which gear rolls (without
slipping) Circular Pitch: distance measured along the pitch circle
from one point of tooth to the corresponding point in adjacent
tooth Diametral Pitch: no. of teeth per unit length of the PCD
Module: inverse of Diametral pitch Addendum: radial distance b/w PC
and top land Dedendum: radial distance b/w PC and bottom land
Clearance: amount by which dedendum of gear exceeds the addendum of
the mating gear Equations = = = = =1.25 1 2= 1 2 Involute Profile
Curve traced by a point on a string unwrapping
from a cylinder is involute profile Pressure Angle Common normal to
the mating tooth curves at
the point of contact makes a constant angle with the common tangent
to the pitch circles passing through the pitch point. This angle is
called pressure angle. Primary Gear Characteristics
Pressure angle/ tooth profile Face Width Gear ratio or number of
teeth on both gears Centre to centre distance Module
Construction