Program 60-750—Involute Spline Machining and Assembly ... · Program 60-750—Involute Spline Machining and Assembly Introduction ... produce a spline set conforming to spline standard

Program 60-750—Involute Spline Machining and Assembly

Introduction This model will allow you to check the suitability of spline cutting or molding tools to produce an internal/external spline set or to design new tools. A plot of the splined parts in assembly is provided for a visual check of the geometry in addition to numerical data. Examples Example 1 In this example we will design a new set of tools (a hob and a shaper cutter) to produce a spline set conforming to spline standard ANSI B92.1-1970. The required data for the spline set is on Report 1-1. (This is from UTS Model 60-710.) Report 1-1

Model Title : Program 60-710 Unit System: US Description Value Unit Comment

COMMON

Number of Teeth 26

Diametral Pitch 10.000000 1/in `

Stub Pitch 20.0000 1/in `

Spline Pitch 10/20

Standard Pressure Angle 30.0000 deg

Type of Fit ('maj or 'side Def='side) side

Pitch Diameter 2.6000000 in

UTS Integrated Gear Software

2


Base Dia 2.2516660 in

Max_Effective Clearance 0.0028 in

Min_Effective Clearance 0.0000 in COMMON: Theoretical from Measured Teeth

Max_Actual Clearance 0.0064 in

Min_Actual Clearance 0.0036 in

Radial Form Clearance (Standard) 0.0026 in INTERNAL SPLINE

Internal Spline ANSI B92.1-1970 Std? Yes

Fillet or Flat Root ('fil/'flt) fil

Major Diameter - Min, rounded in

Major Diameter - Max, rounded 2.8010 in

Form Diameter, rounded 2.7050 in

Roll Angle at Form Diameter 38.144 deg

Minor Diameter - Min, rounded 2.5000 in

Minor Diameter - Max, rounded 2.5050 in

Tolerance Class 5

Machining Tolerance 0.0014 in

Variation Allowance 0.0018 in

Min_Effective_Space Width 0.1571 in

Max_Effective_Space Width 0.1585 in

Min_Actual_Space Width 0.1589 in

Max_Actual_Space Width 0.1603 in

60-750—Involute Spline Machining And Assembly

3

Model Title : Program 60-710 Unit System: US Description Value Unit Comment INTERNAL SPLINE: Size Between Pins

Pin Diameter 0.14400 in

Min_Between 2 Pins 2.4431 in

Max_Between 2 Pins 2.4456 in

Min_Diameter Under 3 Pins 2.4431 in

Max_Diameter Under 3 Pins 2.4456 in

Min_Pin Contact Diameter 2.6610 in

Max_Pin Contact Diameter 2.6637 in EXTERNAL SPLINE

External Spline ANSI B92.1-1970 Std? Yes


Major Diameter - Max 2.7000 in

Major Diameter - Min 2.6950 in

Major_Diameter Chamfer - Max in

Major_Diameter Chamfer - Min in

Form Diameter 2.4950 in


Minor Diameter - Min 2.3990 in

Tolerance Class 5

Machining Tolerance 0.0014 in

Variation Allowance 0.0018 in

Max_Eff_Tooth Thickness 0.1571 in

Min_Eff_Tooth Thickness 0.1557 in

Max_Actual_Tooth Thickness 0.1553 in


4


Min_Actual_Tooth Thickness 0.1539 in EXTERNAL SPLINE: Size Over Pins

Pin Diameter 0.19200 in

Max_Over 2 Pins 2.8951 in

Min_Over 2 Pins 2.8930 in

Max_Pin Contact Diameter 2.6018 in

Min_Pin Contact Diameter 2.5998 in PLOTS DATA

Mark mod/inv/fil intersections? y

Number of teeth on plot 1

GAGES

Dimensioning Method (Def='std, 'A, 'B) std This is a 26 tooth, 10/20 diametral pitch, side fit, fillet root spline. A Class 5 tolerance is desired on both the internal and external splines. Use the wizard data entry form to enter the data shown in Figure 1-1. The solved model is shown in Report 1-2 This first set of data is for maximum clearance in the spline. (If you do not know which data this requires, compare the data on Report 1-1 with that of Report 1-2.)


5

Fig. 1-1


6

Report 1-2


Number of Teeth 26

EXTERNAL MANUFACTURING METHOD

Hobbed ('hob), Shaped ('shp), Formed hob ('frm) INTERNAL MANUFACTURING METHOD

Shaped ('shp) or Formed ('frm) shp

NORMAL PLANE


Nominal pressure angle 30.000000 deg

Module 2.540000 mm `

Base pitch 0.2721 in NORMAL PLANE EXTERNAL

Finished tooth thickness at Ref PD 0.1539 in

Total circular finish stock on tooth 0.0000 in thickness NORMAL PLANE INTERNAL


Finished_space width at Ref PD 0.1603 in

Total circular finish stock on tooth 0.0000 in thickness


7

Model Title : Program 60-750 Unit System: US Description Value Unit Comment TRANSVERSE PLANE

Diametral_Pitch 10.0000 1/in `

Nominal_pressure angle 30.0000 deg

Module 2.5400 mm `

Base_pitch 0.2721 in

External_tooth thickness at Ref PD 0.1539 in

Internal_tooth thickness at Ref PD 0.1539 in

Internal_space width at Ref PD 0.1603 in COMMON

Helix angle 0.000000 deg

Base_helix angle 0.0000 deg

Offset of Ext/Int Axes 0.00000 in

Actual_Trans Clearance 0.00640 in

Actual_Normal Trans Clearance 0.00554 in

Total_engagement depth - Max 0.0950 in

Total_engagement depth - Min 0.0950 in

Active contact depth - Max 0.0950 in

Active contact depth - Min 0.0950 in

Root_clearance - external 0.0559 in

Root_clearance - internal 0.0453 in

Axial pitch in

Net face width 1.5000 in


8

Model Title : Program 60-750 Unit System: US Description Value Unit Comment EXTERNAL SPLINE

Outside Diameter 2.6950 in

Normal_top land width 0.0998 in

Start_Tip Modification in

Roll_at_Start of Tip Modification deg

Normal_OD tip relief in

Normal_circular OD tip relief in

Transverse_circular_OD tip relief in

Effective_outside diameter 2.6950 in

Normal_effective OD tip relief in

Normal_tooth_thickness_at_Eff OD 0.0998 in

Pointed tooth diameter (No tip mod) 2.8386 in

Reference PD 2.6000 in

Inv/fillet intersection dia (TIF) 2.4465 in

Roll_at_inv/fill intersection dia 24.348 deg

Normal_TT_at_inv/fill intersection d 0.2198 in

Minimum_fillet radius 0.0387 in

Root diameter 2.3931 in

Whole depth of tooth (from Eff OD) 0.1509 in

Base_diameter 2.2517 in

Lead in

Area of space (Normal section) 0.02 in^2

Area of tooth (Normal section) 0.03 in^2


9

Model Title : Program 60-750 Unit System: US Description Value Unit Comment INTERNAL SPLINE

Inside (minor) Diameter 2.5050 in


Start_Tip_Modification in


Normal_ID tip relief in

Normal_circular_ID tip relief in

Transverse_circular_ID tip relief in

Effective_inside diameter 2.5050 in

Normal_effective_ID tip relief in

Normal_Tooth Thickness at eff ID 0.0985 in

Pointed_tooth diameter (No tip mod) Below_BD in






Major diameter 2.7855 in

Whole depth of tooth (from Eff ID) 0.1403 in


Lead in




10

Model Title : Program 60-750 Unit System: US Description Value Unit Comment PLOT CONFIGURATION

Mark inv/fil intersections? y

Mark mod/inv intersections? y


EXTERNAL SPLINE HOB

Hob type n

Flank angle 30.0000 deg

Tip to Reference Line 0.1007 in

Tooth thickness at Reference Line 0.1571 in

Tip_radius 0.0353 in

Protuberance 0.0000 in

Protuberance_angle from flank deg

Protuberance_pressure angle deg

Tip_to_flank/prot intersection in INTERNAL SPLINE SHAPER

Number_of Teeth 14

Outside_Diameter 1.5800 in

Normal_Tooth_Thickness 0.1571 in

Tip_Radius - Normal Plane 0.0416 in

Protuberance - Normal Plane 0.0000 in

Center distance with shaper cutter 0.6028 in

Start_of_active_profile_diameter 1.3065 in


11

A comparison of Sheet 1-1 with Sheet 1-2 indicates that the default tools meet all the requirements of the standard except for the root diameter of the external spline. The minimum diameter allowed is 2.399 inches and the hob is producing a root diameter of 2.3931 inches. To correct the root diameter we need to change the tip to reference line on the hob from 0.1007 inch to 0.0977 inch. This will increase the root diameter 0.006 inch. Report 1-3 is the solved model after changing the hob addendum. Report 1-3


No Group

Number of Teeth 26




NORMAL PLANE







12





Total circular finish stock on tooth 0.0000 in thickness TRANSVERSE PLANE



Module 2.5400 mm `














13





Axial pitch in


EXTERNAL SPLINE




















14



Lead in


Area of tooth (Normal section) 0.03 in^2 INTERNAL SPLINE





















15


Lead in


Area of tooth (Normal section) 0.03 in^2 PLOT CONFIGURATION




EXTERNAL SPLINE HOB

Hob type n









Number_of Teeth 14








16

A plot of the teeth in assembly is available on the Plot Sheet, or from the drop-down plots list in the Toolbar (See Figure 1-2). Individual plots of the internal and external splines are also available. Fig. 1-2

Now the tools must be checked to insure that at minimum clearance conditions we are still within the required dimensions. Figure 1-3 shows the completed data input form and Report 1-4 the data for the spline set at minimum clearance conditions.


17

Fig. 1-3


18

Report 1-4


Number of Teeth 26




NORMAL PLANE











19




Module 2.5400 mm `
















Axial pitch in



20





















Lead in




21





















Lead in




22





EXTERNAL SPLINE HOB

Hob type n









Number_of Teeth 14








23

A comparison of Report 1-1 and Report 1-4 shows that we still meet the requirements and the tools are OK. (You may wish to check the internal spline with the shaper cutter at new geometry and at life geometry, to make sure that the internal spline will stay within specifications throughout the life of the shaper cutter. This is not necessary with the hob, because the cutting edge geometry is constant.) Figure 1-4 is the plot of the spline set at minimum clearance conditions. Fig. 1-4


24

Example 2 In this example we will design a spline set with a specified minimum radial play. The external spline is rolled on the shaft and the internal spline is molded. (Both are “formed” splines.) The spline has 8 teeth, a pressure angle of 45 degrees and fillet roots. It is known that the difference between the actual and effective clearance is 0.0048 inch (Tolerance Class 7 for inch series spline). An effective radial play of 0.002 inch is required so the actual radial play must be at least 0.0068 inch. The radial play is equal to the tooth/space clearance multiplied by the Cosine of the pressure angle. Since the required actual radial play is 0.0068 inch, the actual clearance must be about 0.007 inch / cos(45) or 0.0099 inch. Using the wizard data input form, enter the data shown in Figure 2-1. Note that the entered space width is the default tooth thickness of 0.0532+0.0099 or 0.0631 inch. Set the offset to the maximum of .0035 inch (half the normal clearance of 0.007 inch). Report 2-1 shows the solved model.


25

Fig. 2-1


26

Report 2-1


Number of Teeth 8


Hobbed ('hob), Shaped ('shp), Formed frm ('frm) INTERNAL MANUFACTURING METHOD

Shaped ('shp) or Formed ('frm) frm

NORMAL PLANE











27




Module 0.7938 mm `
















Axial pitch in



28





















Lead in




29












Pointed_tooth diameter (No tip mod) 0.2111 in









Lead in




30





FORMED EXTERNAL SPLINE BASIC RACK FORM





Radial_tip chamfer (w/o mod) 0.0050 in

Normal_tip radius 0.0000 in

Normal_tip_relief exponent

FORMED INTERNAL SPLINE

Normal_fillet radius 0.0209 in



Normal_tip_relief exponent The model indicated that the clearance is low both at the root of the external spline and at the root of the internal spline (external OD). Figure 2-2 is a plot of the teeth with the maximum offset applied.


31

Fig. 2-2

The model has warned us about low root clearance and low clearance at the outside diameter for the external spline. We will change the external basic rack to get a smaller root diameter and, therefore, more root clearance. Add 0.0015 inch to the tip to reference line for the external basic rack (0.0214 inch). This will increase the root clearance directly the same amount. Add 0.008 inch to the Inv/fillet intersection dia for the internal (0.2932 inch). The clearance at the major diameter (external OD) will increase less than half this amount, since we will need a smaller fillet radius at the major diameter.


32

The application immediately warns you that the basic rack tip radius is too large—greater than the maximum of .0076 inch (.193 mm). When you change the tip radius to 0.0076 inch and solve again, you get an error message that the internal normal fillet radius is too large—by .015 inch (.383 mm). Change the normal fillet radius to 0.015 inch and solve again. The completed data input file is shown in Figure 2-3, the solved model in Report 2-2. Fig. 2-3


33

Report 2-2


Number of Teeth 8




NORMAL PLANE











34




Module 0.7938 mm `
















Axial pitch in



35





















Lead in




36





















Lead in




37

















Normal_tip_relief exponent We now have a root clearance of about 0.006 inch and no longer get the warning messages. Figure 2-4 is the plot with the new dimensions.


38

Fig. 2-4

The machining tolerance is 0.0023 inch, the OD tolerance is 0.003 inch and the ID and (internal) TIF tolerance is 0.004 inch. Change the data in the model to reflect the tolerances and solve. Set the offset to half the actual normal trans clearance (0.01025/2 = .00512) and solve for the last time. (Figure 2-5 and Report 2-3)


39

Fig. 2-5


40

Report 2-3


Number of Teeth 8




NORMAL PLANE











41




Module 0.7938 mm `
















Axial pitch in



42





















Lead in




43





















Lead in




44

















Normal_tip_relief exponent Figure 2-6 is a plot of the spline with the new dimensions.


45

Fig. 2-6


46

Example 3 This is a 12 tooth, 2 mm module, 37.5 degree pressure angle, side fit, fillet root spline. We wish to check an existing shaper cutter and topping hob to determine if they will produce the spline parts. The required dimensions are shown in Report 3-1. (This is from UTS Model 60-720.) Report 3-1

Model Title : Program 60-720 Unit System: Metric Description Value Unit Comment

COMMON

Number of Teeth 12



Standard Pressure Angle 37.5 deg

Length of Engagement 20.0000 mm

Pitch Diameter 24.00000 mm

Base Dia 19.04050 mm

Max_Effective Clearance 0.2810 mm

Min_Effective Clearance 0.0650 mm

Max_Actual Clearance 0.3830 mm

Min_Actual Clearance 0.1660 mm

Radial Form Clearance (Standard) 0.2000 mm

Ref Line to Root TIF on Basic Rack 1.1000 mm

Inch('i) / Metric('m) Measuring Pins m


47

Model Title : Program 60-720 Unit System: Metric Description Value Unit Comment INTERNAL SPLINE

Internal Spline ANSI B92.2M-1980? Yes


Major Diameter - Max 27.010 mm

Form Diameter 26.200 mm


Fillet_Radius 0.6000 mm

Minor Diameter - Min 22.390 mm

Minor Diameter - Max 22.700 mm

Tolerance and Fit Class: "7H"

Tooth Thickness Reduction 0.00000 mm

Machining Tolerance 0.1080 mm

Effective Variation 0.0510 mm

Total Tolerance 0.1590 mm

Min_Effective_Space Width 3.1420 mm

Max_Effective_Space Width 3.2500 mm

Min_Actual_Space Width 3.1920 mm

Max_Actual_Space Width 3.3000 mm INTERNAL SPLINE Size Between Pins

Pin Diameter, mm 3.7500 mm `

Pin Diameter, inch 0.14764 in `

Min_Between 2 Pins 18.0480 mm

Max_Between 2 Pins 18.2220 mm

Min_Diameter Under 3 Pins 18.0480 mm


48


Max_Diameter Under 3 Pins 18.2220 mm

Min_Pin Contact Diameter 23.8500 mm

Max_Pin Contact Diameter 24.0640 mm INTERNAL SPLINE Analytical Inspection

Total_Index Variation 0.0620 mm

Total_Profile Variation 0.0540 mm

Lead Variation 0.0190 mm EXTERNAL SPLINE

External Spline ANSI B92.2M-1980? Yes


Major Diameter - Max 25.720 mm

Major Diameter - Min 25.400 mm

Form Diameter 21.920 mm


Fillet_Radius 0.6000 mm

Minor Diameter - Min 20.910 mm

Tolerance and Fit Class "7d"

Tooth Thickness Reduction 0.06500 mm

Machining Tolerance 0.1080 mm

Effective Variation 0.0510 mm

Total Tolerance 0.1590 mm

Max_Eff_Tooth Thickness 3.0770 mm

Min_Eff_Tooth Thickness 2.9680 mm

Max_Actual_Tooth Thickness 3.0260 mm


49


Min_Actual_Tooth Thickness 2.9180 mm EXTERNAL SPLINE Size Over Pins

Pin Diameter, mm 5.0000 mm `

Pin Diameter, inch 0.19685 in `

Max_Over 2 Pins 32.5950 mm

Min_Over 2 Pins 32.4770 mm

Max Pin Contact Diameter 24.2230 mm

Min Pin Contact Diameter 24.1220 mm Plot Data

Mark mod/inv/fil intersections? n


GAGES

Dimensioning Method (Def='std, 'A, 'B) std First we will check the spline at minimum clearance conditions: Internal Minimum Minor Diameter Internal Minimum Actual Space Width External Maximum Major Diameter External Maximum Actual Tooth Thickness Make certain that metric units are selected. Use the wizard data entry form to enter the data as shown in Figure 3-1. The solved model is shown in Report 3-2.


50

Fig. 3-1


51

Report 3-2


Number of Teeth 12




NORMAL PLANE




Base pitch 4.9848 mm NORMAL PLANE EXTERNAL

Finished tooth thickness at Ref PD 3.0260 mm

Total circular finish stock on tooth 0.0000 mm thickness NORMAL PLANE INTERNAL


Finished_space width at Ref PD 3.1920 mm

Total circular finish stock on tooth 0.0000 mm thickness


52

Model Title : Program 60-750 Unit System: Metric Description Value Unit Comment TRANSVERSE PLANE



Module 2.0000 mm `

Base_pitch 4.9848 mm

External_tooth thickness at Ref PD 3.0260 mm

Internal_tooth thickness at Ref PD 3.0912 mm

Internal_space width at Ref PD 3.1920 mm COMMON



Offset of Ext/Int Axes 0.00000 mm

Actual_Trans Clearance 0.16600 mm

Actual_Normal Trans Clearance 0.13170 mm

Total_engagement depth - Max 1.5299 mm

Total_engagement depth - Min 1.5299 mm

Active contact depth - Max 1.5132 mm

Active contact depth - Min 1.5132 mm

Root_clearance - external 0.6701 mm

Root_clearance - internal 0.7075 mm

Axial pitch mm

Net face width 12.0000 mm


53

Model Title : Program 60-750 Unit System: Metric Description Value Unit Comment EXTERNAL SPLINE

Outside Diameter 25.4499 mm

Normal_top land width 1.9036 mm

Start_Tip Modification mm


Normal_OD tip relief mm

Normal_circular OD tip relief mm

Transverse_circular_OD tip relief mm

Effective_outside diameter 25.4164 mm

Normal_effective OD tip relief mm

Normal_tooth_thickness_at_Eff OD 2.0007 mm

Pointed tooth diameter (No tip mod) 27.5744 mm

Reference PD 24.0000 mm

Inv/fillet intersection dia (TIF) 21.7608 mm


Normal_TT_at_inv/fill intersection d 4.1559 mm

Minimum_fillet radius 0.6595 mm

Root diameter 21.0499 mm

Whole depth of tooth (from Eff OD) 2.2000 mm

Base_diameter 19.0405 mm

Lead mm

Area of space (Normal section) 5.91 mm^2

Area of tooth (Normal section) 7.48 mm^2


54


Inside (minor) Diameter 22.3900 mm


Start_Tip_Modification mm


Normal_ID tip relief mm

Normal_circular_ID tip relief mm

Transverse_circular_ID tip relief mm

Effective_inside diameter 22.3900 mm

Normal_effective_ID tip relief mm

Normal_Tooth Thickness at eff ID 1.8049 mm

Pointed_tooth diameter (No tip mod) Below_BD mm






Major diameter 26.8648 mm

Whole depth of tooth (from Eff ID) 2.2374 mm


Lead mm




55

Model Title : Program 60-750 Unit System: Metric Description Value Unit Comment PLOT CONFIGURATION




EXTERNAL SPLINE HOB Hob type t Flank angle 37.5000 deg

Tip to Reference Line 1.4000 mm Tooth thickness at Reference Line 3.1420 mm

Tip_radius 0.6000 mm Protuberance 0.0000 mm

Protuberance_angle from flank deg Protuberance_pressure angle deg Tip_to_flank/prot intersection mm EXTERNAL SPLINE HOB TOPPING Reference_Line_To Hob Tooth Root 0.8000 mm Radius in Hob Tooth Root 0.1200 mm

Ref_Line to Hob SAP 0.7679 mm Normal_Space Width at Hob SAP 1.9627 mm INTERNAL SPLINE SHAPER Number_of Teeth 7 Outside_Diameter 16.8000 mm

Normal_Tooth_Thickness 3.1420 mm Tip_Radius - Normal Plane 0.6000 mm

Protuberance - Normal Plane 0.0000 mm Center distance with shaper cutter 5.0324 mm Start_of_active_profile_diameter 12.4328 mm


56

Figure 3-2 is the plot of the teeth in assembly.

Fig. 3-2

A comparison of Report 3-1 and Report 3-2 shows that all requirements have been met at minimum clearance conditions.

Now we need to check at maximum clearance conditions:

Internal Max Minor Dia Internal Max Actual Space Width External Min Major Dia External Min Actual Tooth Thickness


57

Using the cursor change the dimensions according to the max clearance data on Report 3-1. Figure 3-3 and Report 3-3 show the inputs and the solved model after these changes have been made. Fig. 3-3


58

Report 3-3


Number of Teeth 12




NORMAL PLANE




Base pitch 4.9848 mm NORMAL PLANE EXTERNAL


Total circular finish stock on tooth 0.0000 mm thickness NORMAL PLANE INTERNAL


Finished_space width at Ref PD 3.3000 mm

Total circular finish stock on tooth 0.0000 mm thickness


59

Model Title : Program 60-750 Unit System: Metric Description Value Unit Comment TRANSVERSE PLANE



Module 2.0000 mm `

Base_pitch 4.9848 mm

External_tooth thickness at Ref PD 2.9180 mm

Internal_tooth thickness at Ref PD 2.9832 mm

Internal_space width at Ref PD 3.3000 mm COMMON



Offset of Ext/Int Axes 0.00000 mm

Actual_Trans Clearance 0.38200 mm

Actual_Normal Trans Clearance 0.30306 mm

Total_engagement depth - Max 1.3046 mm

Total_engagement depth - Min 1.3046 mm

Active contact depth - Max 1.2825 mm

Active contact depth - Min 1.2825 mm

Root_clearance - external 0.8954 mm

Root_clearance - internal 0.8467 mm

Axial pitch mm

Net face width 12.0000 mm


60

Model Title : Program 60-750 Unit System: Metric Description Value Unit Comment EXTERNAL SPLINE

Outside Diameter 25.3091 mm


Start_Tip Modification mm


Normal_OD tip relief mm

Normal_circular OD tip relief mm

Transverse_circular_OD tip relief mm

Effective_outside diameter 25.2650 mm

Normal_effective OD tip relief mm

Normal_tooth_thickness_at_Eff OD 2.0076 mm

Pointed tooth diameter (No tip mod) 27.4557 mm






Root diameter 20.9091 mm

Whole depth of tooth (from Eff OD) 2.2000 mm


Lead mm




61


Inside (minor) Diameter 22.7000 mm


Start_Tip_Modification mm


Normal_ID tip relief mm

Normal_circular_ID tip relief mm

Transverse_circular_ID tip relief mm

Effective_inside diameter 22.7000 mm

Normal_effective_ID tip relief mm

Normal_Tooth Thickness at eff ID 1.9256 mm

Pointed_tooth diameter (No tip mod) Below_BD mm






Major diameter 27.0025 mm

Whole depth of tooth (from Eff ID) 2.1513 mm


Lead mm




62

Model Title : Program 60-750 Unit System: Metric Description Value Unit Comment PLOT CONFIGURATION




EXTERNAL SPLINE HOB

Hob type t


Tip to Reference Line 1.4000 mm

Tooth thickness at Reference Line 3.1420 mm

Tip_radius 0.6000 mm

Protuberance 0.0000 mm



Tip_to_flank/prot intersection mm EXTERNAL SPLINE HOB TOPPING

Reference_Line_To Hob Tooth Root 0.8000 mm

Radius in Hob Tooth Root 0.1200 mm

Ref_Line to Hob SAP 0.7735 mm

Normal_Space Width at Hob SAP 1.9541 mm INTERNAL SPLINE SHAPER

Number_of Teeth 7

Outside_Diameter 16.8000 mm

Normal_Tooth_Thickness 3.1420 mm


63


Tip_Radius - Normal Plane 0.6000 mm

Protuberance - Normal Plane 0.0000 mm

Center distance with shaper cutter 5.1013 mm

Start_of_active_profile_diameter 12.5976 mm The external spline does not meet the dimensional requirements at maximum clearance conditions. The outside diameter of the external is about 0.1 mm under the low limit in Report 3-1. The shaper cutter will produce the required internal spline but the hob sill not produce the required external spline. Figure 3-4 is a plot of the teeth at maximum clearance.

Sheet 3-5


64

Example 4 This is a 15 tooth, 10 diametral pitch, 30 degree pressure angle, flat root major diameter fit spline. Select a semi-topping hob for the external and shaping for the internal. Select “Flat Root Maj Dia Fit” for both internal and external. Note also that we are back in US units. During solving, the model produces a note that the number of teeth is odd. The major and minor diameters cannot be measured directly with an odd number of teeth. This is an inconvenience during manufacturing and inspection, and an even number of teeth should be used if possible. But this is only a reminder, and if an odd number of teeth is necessary it may be ignored. Note that during the solution the model produces a warning that the clearance is low at the external OD. This is because the internal spline pilots on the external spline OD and not on the sides of the teeth. For major diameter fit splines this warning message is, of course, ignored. Figure 4-1 shows the wizard data input form with data entered. Report 4-1 gives the data for the solved model.


65

Fig. 4-1


66

Report 4-1


Number of Teeth 15




NORMAL PLANE











67




Module 2.5400 mm `
















Axial pitch in



68




Start_Tip Modification 1.5777 in

Roll_at_Start of Tip Modification 39.488 deg

Normal_OD tip relief 0.00672 in

Normal_circular OD tip relief 0.01578 in

Transverse_circular_OD tip relief 0.01578 in













Lead in




69





















Lead in




70

Model Title : Program 60-750 Unit System: US Description Value Unit Comment PLOT CONFIGURATION Mark inv/fil intersections? y Mark mod/inv intersections? y Number of teeth on plot 1

EXTERNAL SPLINE HOB Hob type s

Flank angle 30.0000 deg Tip to Reference Line 0.0746 in

Tooth thickness at Reference Line 0.1571 in Tip_radius 0.0200 in

Protuberance 0.0000 in Protuberance_angle from flank deg Protuberance_pressure angle deg Tip_to_flank/prot intersection in EXTERNAL SPLINE HOB SEMI-TOPPING AND TIP RELIEF Reference_Line_to Start Mod Ramp 0.0400 in

Pressure Angle of Mod Ramp 63.0000 deg

INTERNAL SPLINE SHAPER Number_of Teeth 10 Outside_Diameter 1.1000 in

Normal_Tooth_Thickness 0.1571 in Tip_Radius - Normal Plane 0.0050 in

Protuberance - Normal Plane 0.0000 in Center distance with shaper cutter 0.2500 in Start_of_active_profile_diameter 0.9077 in Figure 4-2 is a plot of the teeth for this configuration.


71

Fig. 4-2

UTS Models 60-710 and 60-720 will furnish data on spline geometry, manufacturing data and gages for, respectively, ANSI standard inch series and metric series splines. To analyze external and internal splines individually, use UTS Models 60-410 and 60-460.

Program 60-750—Involute Spline Machining and Assembly ... · Program 60-750—Involute Spline Machining and Assembly Introduction ... produce a spline set conforming to spline standard

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