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FORM MEASUREMENT
Unit 3
Measurement of screw threads-Thread gauges, floating carriage
micrometer-measurement of gears-tooth thickness-constant
chord and base tangent method-Gleason gear testing machine -
radius measurements-surface finish, straightness, flatness and
roundness measurements
Syllabus
∗ Screw thread measurement
∗ Gear measurement
∗ Radius measurement
∗ Surface Finish measurement
∗ Straightness measurement
∗ Flatness and roundness measurements.
Screw thread
Crest
It is top surface joining the two sides of thread.
Flank
Surface between crest and root.
Root
The bottom of the groove between the two flanks of
the thread
Terminology
Contd.,
Pitch
The distance measured parallel to the axis from a point
on a thread to the corresponding next point.
Helix angle:
The helix is the angle made by the helix of the thread at
the pitch line with the axis.
Flank angle
Angle made by the flank of a thread with the
perpendicular to the thread axis
Depth of thread
The distance between the crest and root of the
thread
Major diameter:
Diameter of an imaginary co-axial cylinder which
would touch the crests of external or internal thread.
Minor diameter (Root diameter or Core diameter):
Diameter of an imaginary co-axial cylinder which
would touch the roots of an external thread.
Contd.,
∗ Addendum
∗ Radial distance between the major and pitch cylinders For
external thread.
∗ Radial distance between the minor and pitch cylinder For
internal thread.
∗ Dedendum
∗ Radial distance between the pitch and minor cylinder = For
external thread.
∗ Radial distance between the major and pitch cylinders = For
internal thread
Contd.,
∗ Major diameter error
∗ reduction in the flank contact
∗ interference with the matching threads
∗ Minor diameter error
∗ Interference
∗ reduction of flank contact
Errors in Screw Thread
∗ Effective diameter error
∗ Pitch error
∗ the total length of thread engaged will be either too high or too
small
∗ Flank angles error
∗ Crest and root error
Contd.,
∗ Progressive error
∗ Periodic error
∗ Drunken error
∗ Irregular error
Pitch Errors Classification
Errors in Thread
1) Progressive error:
The pitch of the thread is uniform but is longer or shorter
its nominal value and this is called progressive error.
Contd.,
2. Periodic error
These error repeats itself at regular intervals
along the thread.
Causes of periodic error:
•Teeth error in gears.
•Lead screw error.
•Eccentric mounting of the gears.
Contd.,
Length of thread
Cumulativepitcherror
Length of thread
Cumulativepitcherror
ERRATIC ERRORSPROGRESSIVE ERROR
Fig (c) Fig (d)
Contd.,
3) Drunken error:
Drunken errors are repeated once per turn of the thread in
a Drunken thread.
In Drunken thread the pitch measured parallel to the thread
axis. If the thread is not cut to the true helix the drunken
thread error will form
Contd.,
4) Irregular errors:
It is vary irregular manner along the length of
the thread.
Irregular error causes:
1. Machine fault.
2. Non-uniformity in the material.
3. Cutting action is not correct.
4. Machining disturbances
MEASUREMENT OF VARIOUS
ELEMENTS OF THREAD
1) Major diameter
2) Minor diameter
3) Effective or Pitch diameter
4) Pitch
5) Thread angle and form angle
∗ Ordinary micrometer
∗ Bench micrometer
Major Diameter
Measurement by Bench micrometer:
Clamp
Fiducial
Indicator
Measuring
Anvils Holding centres
Micrometer head
Supports
BENCH MICROMETER
Measurement by Bench micrometer:
Then the cylinder is replaced by the threaded work piece and the new
reading is taken
Measurement by Bench micrometer:
Measurement by Bench micrometer:
Holding centre
Measuring anvil
Holding centre
Measuring anvil
StandardCylinder
ScrewThread
Measurement of Major diameter
With prism measurement
Measurement of the major diameter of an
Internal thread:
Measurement of Minor diameter
The minor diameter is measured by a
comparative method by using floating carriage
diameter measuring machine and small ‘ V pieces
which make contact with the root of the thread.
These V pieces are made in several sizes,
having suitable radii at the edges.
 V pieces are made of hardened steel.
The floating carriage diameter-measuring
machine is a bench micrometer mounted on a
carriage.
Measurement of Minor diameter
The threaded work piece is mounted between the centers of
the instrument and the.V pieces are placed on each side of
the work piece and then the reading is noted.
After taking this reading the work piece is then replaced by
a standard reference cylindrical setting gauge.
Measurement of Minor diameter
Measurement of Minor diameter of
Internal threads:
The Minor diameter of Internal threads
are measured by
1. Using taper parallels
2. Using Rollers.
Measurement of Minor diameter of
Internal threads:
1. Using taper parallels:
 For diameters less than 200mm the use of Taper
parallels and micrometer is very common.
 The taper parallels are pairs of wedges having reduced
and parallel outer edges.
 The diameter across their outer edges can be changed
by sliding them over each other.
Measurement of Minor diameter of
Internal threads:
Using rollers:
 For more than 200mm diameter this method is
used. Precision rollers are inserted inside the thread
and proper slip gauge is inserted between the rollers.
The minor diameter is then the length of slip gauges
plus twice the diameter of roller.
∗ One wire
∗ Two Wires
∗ Three wires method
Measurement of Effective Diameter
One wire method
In this method wires of suitable size are placed between the
standard and the micrometer anvils
Two wire method
Three Wire Method
∗ Pitch measuring machine
∗ Tool makers microscope
∗ Screw pitch gauge
Pitch measurement
Pitch measuring machine
Tool makers microscope
∗ Thread gauge
∗ Ring gauge
∗ Optical projectors
Thread form and flank angle measurement
Types of gears
∗ Spur gear
∗ Spiral gear
∗ Helical gears
∗ Bevel gears
∗ Worm and Worm wheel
∗ Rack and Pinion:
Gear Measurement
Gear tooth Terminology
∗ Tooth profile
∗ It is the shape of any side of gear tooth in its cross section
∗ Pitch circle
∗ It is the imaginary circle of gear that rolls without slipping over
the circle of its mating gear.
∗ Addendum circle
∗ The circle coincides with the crests (or) tops of teeth.
∗ Dedendum circle (or) Root circle
∗ This circle coincides with the roots (or) bottom on teeth
∗ Module(m)
∗ It is the ratio of pitch circle diameter to the total number of
teeth
∗ Face
∗ Part of the tooth in the axial plane lying between tip circle and
pitch circle.
∗ Flank
∗ Part of the tooth lying between pitch circle and root circle.
∗ Top land
∗ Top surface of a tooth
∗ Profile error
∗ The maximum distance of any point on the tooth profile form
to the design profile.
∗ Pitch error
∗ Difference between actual and design pitch
∗ Cyclic error
∗ Error occurs in each revolution of gear
∗ Run out: -
∗ Total range of reading of a fixed indicator with the contact
points applied to a surface rotated, without axial movement,
about a fixed axis
Gear Errors
∗ Eccentricity: -
∗ Half the radial run out
∗ Wobble
∗ Run out measured parallel to. the axis of rotation at a
specified distance from the axis
∗ Radial run out
∗ Run out measured along a perpendicular to the axis of
rotation.
Gear Errors
∗ Eccentricity: -
∗ Half the radial run out
∗ Wobble
∗ Run out measured parallel to. the axis of rotation at a
specified distance from the axis
∗ Radial run out
∗ Run out measured along a perpendicular to the axis of
rotation.
Gear Errors
∗ Axial run out
∗ Run out measured parallel to the axis of rotation at a
speed
∗ Periodic error
∗ Error occurring at regular intervals
Gear Errors
1. Run out
2. Pitch
3. Profile
4. Back lash
5. Tooth thickness
6. Alignment
GEAR MEASUREMENT
∗ In the testing the gears are placed in the mandrel and
the dial indicator of the tester possesses special tip
depending upon the module of the gear and the tips
inserted between the tooth spaces and the gears are
rotated tooth by tooth and the variation is noted
from the dial! indicator
Run out
∗ Point to point measurement (i.e. One tooth point to
next toot point)
∗ Direct angular measurement
Pitch measurement
Tooth to Tooth measurement
∗ Measuring the error by using set dial gauge against
a tooth in this method the position of a suitable
point on a tooth is measured after the gear has
been indexed by a suitable angle
∗ If the gear is not indexed through the angular pitch
the reading differs from the original reading.
∗ The difference between these is the cumulative
pitch error
Direct Angular Measurement
∗ Optical projection method
∗ Involute measuring machine
Profile checking
Involute measuring machine
∗ Backlash is the distance through which a gear can be
rotated to bring its nonworking flank in contact with
the teeth of mating gear
∗ The determination of backlash is, first one of the two
gears of the pair is locked, while other is rotated
forward and backward and by the comparator the
maximum displacement its measured
Backlash
∗ Gear tooth vernier caliper method (Chordal thickness
method)
∗ Base tangent method
Tooth thickness measurement
Gear tooth vernier caliper
Base tangent method
RADIUS MEASUREMENTS
ROUNDNESS MEASUREMENTS
SURFACE FINISH
FLATNESS

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Unit 3

  • 2. Measurement of screw threads-Thread gauges, floating carriage micrometer-measurement of gears-tooth thickness-constant chord and base tangent method-Gleason gear testing machine - radius measurements-surface finish, straightness, flatness and roundness measurements Syllabus
  • 3. ∗ Screw thread measurement ∗ Gear measurement ∗ Radius measurement ∗ Surface Finish measurement ∗ Straightness measurement ∗ Flatness and roundness measurements.
  • 5. Crest It is top surface joining the two sides of thread. Flank Surface between crest and root. Root The bottom of the groove between the two flanks of the thread Terminology
  • 6. Contd., Pitch The distance measured parallel to the axis from a point on a thread to the corresponding next point. Helix angle: The helix is the angle made by the helix of the thread at the pitch line with the axis. Flank angle Angle made by the flank of a thread with the perpendicular to the thread axis
  • 7. Depth of thread The distance between the crest and root of the thread Major diameter: Diameter of an imaginary co-axial cylinder which would touch the crests of external or internal thread. Minor diameter (Root diameter or Core diameter): Diameter of an imaginary co-axial cylinder which would touch the roots of an external thread. Contd.,
  • 8. ∗ Addendum ∗ Radial distance between the major and pitch cylinders For external thread. ∗ Radial distance between the minor and pitch cylinder For internal thread. ∗ Dedendum ∗ Radial distance between the pitch and minor cylinder = For external thread. ∗ Radial distance between the major and pitch cylinders = For internal thread Contd.,
  • 9. ∗ Major diameter error ∗ reduction in the flank contact ∗ interference with the matching threads ∗ Minor diameter error ∗ Interference ∗ reduction of flank contact Errors in Screw Thread
  • 10. ∗ Effective diameter error ∗ Pitch error ∗ the total length of thread engaged will be either too high or too small ∗ Flank angles error ∗ Crest and root error Contd.,
  • 11. ∗ Progressive error ∗ Periodic error ∗ Drunken error ∗ Irregular error Pitch Errors Classification
  • 12. Errors in Thread 1) Progressive error: The pitch of the thread is uniform but is longer or shorter its nominal value and this is called progressive error.
  • 13. Contd., 2. Periodic error These error repeats itself at regular intervals along the thread. Causes of periodic error: •Teeth error in gears. •Lead screw error. •Eccentric mounting of the gears.
  • 14. Contd., Length of thread Cumulativepitcherror Length of thread Cumulativepitcherror ERRATIC ERRORSPROGRESSIVE ERROR Fig (c) Fig (d)
  • 15. Contd., 3) Drunken error: Drunken errors are repeated once per turn of the thread in a Drunken thread. In Drunken thread the pitch measured parallel to the thread axis. If the thread is not cut to the true helix the drunken thread error will form
  • 16. Contd., 4) Irregular errors: It is vary irregular manner along the length of the thread. Irregular error causes: 1. Machine fault. 2. Non-uniformity in the material. 3. Cutting action is not correct. 4. Machining disturbances
  • 17. MEASUREMENT OF VARIOUS ELEMENTS OF THREAD 1) Major diameter 2) Minor diameter 3) Effective or Pitch diameter 4) Pitch 5) Thread angle and form angle
  • 18. ∗ Ordinary micrometer ∗ Bench micrometer Major Diameter
  • 19. Measurement by Bench micrometer: Clamp Fiducial Indicator Measuring Anvils Holding centres Micrometer head Supports BENCH MICROMETER
  • 20. Measurement by Bench micrometer: Then the cylinder is replaced by the threaded work piece and the new reading is taken
  • 21. Measurement by Bench micrometer:
  • 22. Measurement by Bench micrometer: Holding centre Measuring anvil Holding centre Measuring anvil StandardCylinder ScrewThread Measurement of Major diameter
  • 24. Measurement of the major diameter of an Internal thread:
  • 25. Measurement of Minor diameter The minor diameter is measured by a comparative method by using floating carriage diameter measuring machine and small ‘ V pieces which make contact with the root of the thread. These V pieces are made in several sizes, having suitable radii at the edges.  V pieces are made of hardened steel. The floating carriage diameter-measuring machine is a bench micrometer mounted on a carriage.
  • 27. The threaded work piece is mounted between the centers of the instrument and the.V pieces are placed on each side of the work piece and then the reading is noted. After taking this reading the work piece is then replaced by a standard reference cylindrical setting gauge. Measurement of Minor diameter
  • 28. Measurement of Minor diameter of Internal threads: The Minor diameter of Internal threads are measured by 1. Using taper parallels 2. Using Rollers.
  • 29. Measurement of Minor diameter of Internal threads: 1. Using taper parallels:  For diameters less than 200mm the use of Taper parallels and micrometer is very common.  The taper parallels are pairs of wedges having reduced and parallel outer edges.  The diameter across their outer edges can be changed by sliding them over each other.
  • 30. Measurement of Minor diameter of Internal threads: Using rollers:  For more than 200mm diameter this method is used. Precision rollers are inserted inside the thread and proper slip gauge is inserted between the rollers. The minor diameter is then the length of slip gauges plus twice the diameter of roller.
  • 31. ∗ One wire ∗ Two Wires ∗ Three wires method Measurement of Effective Diameter
  • 33. In this method wires of suitable size are placed between the standard and the micrometer anvils Two wire method
  • 35. ∗ Pitch measuring machine ∗ Tool makers microscope ∗ Screw pitch gauge Pitch measurement
  • 38. ∗ Thread gauge ∗ Ring gauge ∗ Optical projectors Thread form and flank angle measurement
  • 39. Types of gears ∗ Spur gear ∗ Spiral gear ∗ Helical gears ∗ Bevel gears ∗ Worm and Worm wheel ∗ Rack and Pinion: Gear Measurement
  • 41.
  • 42. ∗ Tooth profile ∗ It is the shape of any side of gear tooth in its cross section ∗ Pitch circle ∗ It is the imaginary circle of gear that rolls without slipping over the circle of its mating gear. ∗ Addendum circle ∗ The circle coincides with the crests (or) tops of teeth. ∗ Dedendum circle (or) Root circle ∗ This circle coincides with the roots (or) bottom on teeth
  • 43. ∗ Module(m) ∗ It is the ratio of pitch circle diameter to the total number of teeth ∗ Face ∗ Part of the tooth in the axial plane lying between tip circle and pitch circle. ∗ Flank ∗ Part of the tooth lying between pitch circle and root circle. ∗ Top land ∗ Top surface of a tooth
  • 44. ∗ Profile error ∗ The maximum distance of any point on the tooth profile form to the design profile. ∗ Pitch error ∗ Difference between actual and design pitch ∗ Cyclic error ∗ Error occurs in each revolution of gear ∗ Run out: - ∗ Total range of reading of a fixed indicator with the contact points applied to a surface rotated, without axial movement, about a fixed axis Gear Errors
  • 45. ∗ Eccentricity: - ∗ Half the radial run out ∗ Wobble ∗ Run out measured parallel to. the axis of rotation at a specified distance from the axis ∗ Radial run out ∗ Run out measured along a perpendicular to the axis of rotation. Gear Errors
  • 46. ∗ Eccentricity: - ∗ Half the radial run out ∗ Wobble ∗ Run out measured parallel to. the axis of rotation at a specified distance from the axis ∗ Radial run out ∗ Run out measured along a perpendicular to the axis of rotation. Gear Errors
  • 47. ∗ Axial run out ∗ Run out measured parallel to the axis of rotation at a speed ∗ Periodic error ∗ Error occurring at regular intervals Gear Errors
  • 48. 1. Run out 2. Pitch 3. Profile 4. Back lash 5. Tooth thickness 6. Alignment GEAR MEASUREMENT
  • 49. ∗ In the testing the gears are placed in the mandrel and the dial indicator of the tester possesses special tip depending upon the module of the gear and the tips inserted between the tooth spaces and the gears are rotated tooth by tooth and the variation is noted from the dial! indicator Run out
  • 50. ∗ Point to point measurement (i.e. One tooth point to next toot point) ∗ Direct angular measurement Pitch measurement
  • 51. Tooth to Tooth measurement
  • 52. ∗ Measuring the error by using set dial gauge against a tooth in this method the position of a suitable point on a tooth is measured after the gear has been indexed by a suitable angle ∗ If the gear is not indexed through the angular pitch the reading differs from the original reading. ∗ The difference between these is the cumulative pitch error Direct Angular Measurement
  • 53. ∗ Optical projection method ∗ Involute measuring machine Profile checking
  • 55. ∗ Backlash is the distance through which a gear can be rotated to bring its nonworking flank in contact with the teeth of mating gear ∗ The determination of backlash is, first one of the two gears of the pair is locked, while other is rotated forward and backward and by the comparator the maximum displacement its measured Backlash
  • 56. ∗ Gear tooth vernier caliper method (Chordal thickness method) ∗ Base tangent method Tooth thickness measurement
  • 60.
  • 62.