Dividing_Head

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The Indexing or Dividing Head :

1 The Indexing or Dividing Head

Indexing (Dividing) Head:

2 Indexing (Dividing) Head Used to divide circumference of workpiece into equally spaced divisions when milling gear teeth, squares, hexagons, and octagons Also used to rotate workpiece at predetermined ratio to table feed rate

Indexing Methods:

Indexing Methods Direct Indexing Plain or simple indexing Compound indexing Differential indexing Angular indexing 3

Index Head Parts:

4 Index Head Parts Headstock with index plates Headstock change gears Quadrant Universal chuck Footstock Center rest

Index Head Parts:

5 Index Head Parts Swiveling block Mounted in base enables headstock to be tilted from 5 º below horizontal to 10º beyond vertical Spindle Mounted in swiveling block with 40-tooth worm wheel, meshes with worm Worm Right angle to spindle, connected to index crank Direct indexing plate Engaged by pin and attached to front of spindle

Index Head Parts:

6 Index Head Parts

PowerPoint Presentation:

7 Section view of a dividing head

Index Head Parts:

8 Index Head Parts Universal chuck Threaded onto end of spindle

Index Head Parts:

9 Index Head Parts Footstock Used in conjunction with headstock to support work held between centers or in chuck May be adjusted longitudinally, raised or lowered off center, and tilted out of parallel

Index Head Parts:

10 Index Head Parts Adjustable center rest Holds long, slender work between centers

Methods of Indexing:

11 Methods of Indexing Direct Simple Angular Differential

Direct Indexing:

12 Direct Indexing Simplest form of indexing Performed by disengaging worm shaft from worm wheel by means of eccentric device in dividing head Spring-loaded tongue lock engages numbered slots in index plate Used for quick indexing of workpiece when cutting flutes, hexagons, squares, etc.

Direct Indexing Divisions:

13 Direct Indexing Divisions Direct indexing plate usually contains three sets of hole circles or slots: 24, 30, and 36 Number of divisions possible to index limited to numbers that are factors of 24, 30, 36 Slots Direct indexing divisions 24 2 3 4 _ 6 4__ 8 3_ __ 12 2__ 24 _ 30 2 3 5 _ 5 6 _ _ 10 3 __ 15 2_ 30 _ 36 2 2 3 3 _ 6 6 _ 9 4_ 12 3 __ 18 2

Example: Direct Indexing:

14 Example: Direct Indexing What direct indexing is necessary to mill eight flutes on a reamer blank? Slots Direct indexing divisions 24 2 3 4 _ 6 8 _ __ 12 __ __ 24 __ __ 30 2 3 _ 5 6 _ _ 10 __ 15 __ __ 30 __ 36 2 3 4 _ 6 _ 9 __ 12 __ 18 __ __ 36 Since the 24-hole circle is the only one divisible by 8 (the required number of divisions), it is the only circle that can be used in this case. Never count the hole or slot in which the index pin is engaged.

Milling a Square with Direct Indexing:

15 Milling a Square with Direct Indexing Disengage worm and worm shaft by turning worm disengaging shaft lever if dividing head is so equipped Adjust plunger behind index plate into the 24-hole circle or slot Mount workpiece in dividing head chuck or between centers Adjust cutter height and cut first side

Milling a Square with Direct Indexing:

16 Remove plunger pin using plunger pin lever Turn plate attached to dividing head spindle one-half turn and engage plunger pin Take second cut Milling a Square with Direct Indexing

Milling a Square with Direct Indexing:

17 Measure work across flats and adjust work height if required Cut remaining sides by indexing every six holes until all surfaces cut Check for finish size Milling a Square with Direct Indexing

Simple Indexing:

18 Simple Indexing Work positioned by means of crank, index plate, and sector arms Worm attached to crank must be engaged with worm wheel on dividing head spindle 40 teeth on worm wheel One complete turn on index crank cause spindle and work to rotate one-fortieth of a turn (ratio of 40:1)

Simple Indexing:

19 Simple Indexing Calculating the indexing or number of turns of crank for most divisions, simply divide 40 by number of divisions to be cut or,

Simple Indexing:

20 Simple Indexing The indexing required to cut eight flutes: The indexing required to cut seven flutes: The five-sevenths turn involves use of an index plate and sector arms.

Index Plate and Sector Arms:

21 Index Plate and Sector Arms Index plate Circular plate provided with series of equally spaced holes into which index crank pin engages Sector arms Fit on front of plate and may be set to any portion of a complete turn

Finishing Indexing for Seven Flutes:

22 Finishing Indexing for Seven Flutes Index-plate hole circles Brown & Sharpe Plate 1 15-16-17-18-19-20 Plate 2 21-23-27-29-31-33 Plate 3 37-39-41-43-47-49 Cincinnati Standard Plate One side 24-25-28-30-34-37-38-39-41-42-43 Other side 46-47-49-51-53-54-57-58-59-62-66 Choose any hole circle that is divisible by denominator 7 5/7 = /21 So, 5 full turns plus 15 holes on 21 hole circle! 15

Finishing Indexing for Seven Flutes:

23 Finishing Indexing for Seven Flutes Index-plate hole circles Brown & Sharpe Plate 1 15-16-17-18-19-20 Plate 2 21-23-27-29-31-33 Plate 3 37-39-41-43-47-49 Cincinnati Standard Plate One side 24-25-28-30-34-37-38-39-41-42-43 Other side 46-47-49-51-53-54-57-58-59-62-66 Choose any hole circle that is divisible by denominator 7 5/7 = /49 So, 5 full turns plus 35 holes on 49 hole circle! 35

Finishing Indexing for Seven Flutes:

24 Finishing Indexing for Seven Flutes Index-plate hole circles Brown & Sharpe Plate 1 15-16-17-18-19-20 Plate 2 21-23-27-29-31-33 Plate 3 37-39-41-43-47-49 Cincinnati Standard Plate One side 24-25-28-30-34-37-38-39-41-42-43 Other side 46-47-49-51-53-54-57-58-59-62-66 Choose any hole circle that is divisible by denominator 7 5/7 = /28 So, 5 full turns plus 20 holes on 28 hole circle! 20

Finishing Indexing for Seven Flutes:

25 Finishing Indexing for Seven Flutes Index-plate hole circles Brown & Sharpe Plate 1 15-16-17-18-19-20 Plate 2 21-23-27-29-31-33 Plate 3 37-39-41-43-47-49 Cincinnati Standard Plate One side 24-25-28-30-34-37-38-39-41-42-43 Other side 46-47-49-51-53-54-57-58-59-62-66 Choose any hole circle that is divisible by denominator 7 5/7 = /42 So, 5 full turns plus 30 holes on 42 hole circle! 30

Finishing Indexing for Seven Flutes:

26 Finishing Indexing for Seven Flutes Index-plate hole circles Brown & Sharpe Plate 1 15-16-17-18-19-20 Plate 2 21-23-27-29-31-33 Plate 3 37-39-41-43-47-49 Cincinnati Standard Plate One side 24-25-28-30-34-37-38-39-41-42-43 Other side 46-47-49-51-53-54-57-58-59-62-66 Choose any hole circle that is divisible by denominator 7 5/7 = /49 So, 5 full turns plus 35 holes on 49 hole circle! 35

Cutting Seven Flutes:

27 Cutting Seven Flutes Mount B&S Plate 2 index plate on dividing head Loosen index crank nut and set index pin into hole on 21-hole circle Tighten index crank nut and check to see that the pin enters hole easily Loosen setscrew on sector arm Place narrow edge of left arm against index pin

Cutting Seven Flutes:

28 Count 15 holes on 21-hole circle Do not include hole in which index crank pin is engaged. Move right sector arm slightly beyond fifteenth hole and tighten sector arm setscrew Align cutter with work piece Start machine and set cutter to top of work by using paper feeler Cutting Seven Flutes

Cutting Seven Flutes:

29 Move table so cutter clears end of work Tighten friction lock on dividing head before making each cut and loosen lock when indexing for spaces Set depth of cut and take first cut After first flute has been cut, return table to original starting position Cutting Seven Flutes

Cutting Seven Flutes:

30 Withdraw index pin and turn crank clockwise five full turns plus the 15 holes indicated right sector arm Release index pin between 14 th and 15 th holes and gently tap until it drops into 15 th hole Turn sector arm farthest from pin clockwise until it is against index pin Cutting Seven Flutes

Cutting Seven Flutes:

31 Lock dividing head; continue machining and indexing for remaining flutes Cutting Seven Flutes The arm farthest from the pin is held and turned. If the arm next to the pin were held and turned, the spacing between both sector arms could be increased when the other arm hits the pin. This could result in an indexing error not noticeable until the work was completed.

Angular Indexing:

32 Angular Indexing Setup for simple indexing may be used Must calculate indexing with angular distance between divisions instead number of divisions One complete turn of index crank turns work 1/40 of a turn 1/40 of 360 º equals 9 degrees

Angular Indexing:

33 Angular Indexing Calculate indexing for 45 º 5 complete turns

Angular Indexing:

34 Angular Indexing Calculate indexing for 60 º 6 full turns plus 12 holes on 18 hole circle

Angular Indexing:

35 Angular Indexing Calculate indexing for 24 ' Divide 24'/540' = 4/90 4/90 = 1/22.5 1 hole on a 22.5 hole circle The nearest is a 23 hole circle. Indexing would be 1 hole on a 23 hole circle with a slight error (approximately 1/2 minute). A need for higher accuracy requires differential indexing.

Angular Indexing:

36 Angular Indexing Calculate indexing for 24 º30' First, convert angle into minutes (24 x 60') = 1440' now add 30' = 1470‘ Convert 9 ° to minutes 9°x90’ = 540’ Divide 1470'/540' = 2 13/18 2 full turns and 13 holes on 18 hole circle

Differential Indexing:

37 Differential Indexing Used when 40/N cannot be reduced to a factor of one of the available hole circles Index plate must be revolved either forward or backward part of a turn while index crank turned to attain proper spacing (indexing) Change of rotation effected by idler gear or gears in gear train

Differential Method:

38 Differential Method Number chosen close to required divisions that can be indexed by simple indexing Example: Assume index crank has to be rotated 1/9 th of a turn and only 8-hole circle Crank moved 1/9 th , index pin contacts plate at spot before first hole Exact position would be the difference between 1/8 th and 1/9 th of a revolution of the crank

Differential Method cont.:

39 Differential Method cont. one-seventy-second of a turn short of first hole Since there is no hole at this point, it is necessary to cause plate to rotate backward by means of change gears one-seventy-second of a turn of pin will engage in hole.

Method of Calculating the Change Gears:

40 Method of Calculating the Change Gears A = approximate number of divisions N = required number of divisions If A is greater than N, resulting fraction is positive and the index plate must move in same direction as crank (clockwise). This positive rotation uses an idler gear . If N is greater than A, resulting fraction is negative and index plate must move counterclockwise. This negative rotation required use of two idler gears .

Gearing:

41 Gearing Simple One idler for positive rotation of index plate and two idlers for negative rotation Compound One idler for negative rotation of index plate and two idlers for positive rotation

Example::

42 Example: Calculate the indexing and change gears required for 57 divisions. The change gears supplied with the dividing head are as follows: 24, 24, 28, 32, 40, 44, 48, 56, 64, 72, 86 The available index plate hole circles are as follows: Plate 1: 15, 16, 17, 18, 19, 20 Plate 2: 21, 23, 27, 29, 31, 33 Plate 3: 37, 39, 41, 43, 47, 49 No 57 hole circle so select number close to 57 5/7 would be 15 holes on 21-hole circle Choose plate 2: 21 holes

Example: continued:

43 Example: continued The fraction is negative and simple gearing is to be used, the index plate rotation is counterclockwise and two idlers must be used.

Example: continued:

44 For indexing 57 divisions, a 40-tooth gear is mounted on the dividing head spindle and a 56-tooth gear is mounted on the worm shaft. Index idlers must be used. plate rotation is negative and two After proper gears installed, the simple indexing for 56 divisions should be followed Example: continued

Wide-Range Dividing Head:

45 Wide-Range Dividing Head Possible for 2 to 400,000 divisions Large index plate contains 11 hole circles on each side Small index plate mounted in front of large, contains a 54 hole and a 100-hole circle 40:1 ratio between worm and dividing head spindle

PowerPoint Presentation:

46 A – large index plate B - crank C – small index plate D - crank G – gear housing

Indexing for Divisions:

47 Indexing for Divisions One turn of small crank drives index head spindle 1/100 of 1/40, or 1/4000 of a turn Ratio of large index crank to dividing head 40:1 Ratio of small index crank 100:1

Indexing for Divisions:

48 Indexing for Divisions One hole on 100-hole circle of small index plate C = 1/100 x 1/4000 1/400,000 of a turn Formula for indexing divisions = 400,000/N

Indexing for Divisions:

49 Indexing for Divisions No. of turns of large index crank No. of holes on 100-hole circle of large plate No. of holes on 100-hole circle of small plate 4 0  0 0  0 0 4 0 4 0  0 0 N Number of Divisions x x

Indexing for Divisions:

50 Indexing for Divisions For 1250 divisions 400000/1250 40|00|00 1250 Since ratio of large index crank is 40:1 , any number that divides into 40 (first two numbers) represents full turns of large index crank No. of turns of large Index Crank = 0 One hole on 100-hole circle produces 1/4000 of a turn; any number divides into 4000 are indexed on large plate 20 No. turns 100-hole= Large plate 3 20 holes on the 100-hole circle small plate 4 0  0 0  0 0 4 0 4 0  0 0 N 3 0 Zero turns of large crank, 3 turns of 100-hole large plate and 20 holes on 100-hole small plate

Angular Indexing with the Wide-Range Divider:

51 Angular Indexing with the Wide-Range Divider Indexing in degrees, minutes, and seconds easily accomplished Both large and small index cranks set on 54-hole circle of each plate Each space on 54-hole large plate will cause dividing head spindle to rotate 10' Each space on 54-hole small plate will cause work to rotate 6"

Angular Indexing: cont.:

52 Angular Indexing: cont. Example: Index for an angle of 17 º36'18" One full turn + 48 holes on large plate 3 holes on large plate One full turn + 9 holes on small plate One full turn + 51 holes on large plate

Linear Graduating:

53 Linear Graduating Operation of producing accurate spaces on piece of flat or round stock Align workpiece parallel with table travel Dividing head spindle geared to lead screw of milling machine for accurate longitudinal movement of table 1 revolution of index crank = 1/40 th revolution of spindle and lead screw

Linear Graduating: cont.:

54 Linear Graduating: cont. Rotation of lead screw (4 threads per inch) would cause table to move 1/40 th x 1/4 th or 1/160 th = .0025 in. Formula for calculating indexing for linear graduations in thousandths of an inch Example: Movement of table .001 in 4 holes on 25-hole circle

Linear Graduating: cont.:

55 If lead screw of metric milling machine has pitch of 5mm, 1 turn of index crank would move table 1/40 th of 5 mm or 0.125 mm Point of toolbit used for graduating generally ground to V-shape Linear Graduating: cont.

Linear Graduating: cont.:

56 Uniformity of line length controlled by accurate movement of crossfeed handwheel Uniformity of line width maintained if work held absolutely flat and table height never adjusted Linear Graduating: cont.

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