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Program 60-710—Involute Splines and InspectionIntroductionThe primary purpose of this model is to provide data from ANSI Standard B92.11970 for Involute Splines and Inspection. This is the standard for inch-series splinesbased on a stub diametral pitch design. It is possible to use the model to convert thedimensions to metric, but the basic calculations are always based on diametral pitchand the inch system.The model will automatically calculate data for splines and gages in accordance withthe standard. If data is entered for a modified spline, the model will indicate that thespline is not standard and will then calculate data for measurements and gages forthe modified spline.Plots of the assembled and individual splines are available on the Plot Sheet of theTK Solver model. The plots are of the mean actual tooth thickness.For information on the proper use and interchangeability of splines and gages referto the standard.In some cases the dimension given by the software will be slightly different than thedata in the tables in the standard. The software uses the equations given inAppendix A of the standard and the user must decide which value should be used.

UTS Integrated Gear SoftwareExamplesExample 1The first example is a 26 tooth, 10/20 diametral pitch, side fit, fillet root spline. AClass 5 tolerance is desired on both the internal and external splines. (Differenttolerance classes can be used on each spline if desired.) The spline length is 1.5inches, which we enter in order to obtain analytical checking data for the toothalignment. We also wish to use the “Standard” gaging method and will print all dataneeded to manufacture the gages including tapered external masters to calibrate thering gages for the external spline.Enter the data as shown in Figure 1-1. Click “Yes” when prompted for spline lengthvalues and for plot tic marks. Report 1 gives the input and output values for thesolved model.Fig. 1-12

60-710—Involute Splines and InspectionReport 1Model Title :Program 60-710Unit System:USCOMMONNumber of Teeth26Diametral Pitch10.000000 1/in Stub Pitch20.0000 1/in Spline Pitch10/20Standard Pressure Angle30.0000 degType of Fit ('maj or 'side Def 'side)sidePitch Diameter2.6000000 inBase Dia2.2516660 inMax Effective Clearance0.0028 inMin Effective Clearance0.0000 inCOMMON: Theoretical from Measured TeethMax Actual Clearance0.0064 inMin Actual Clearance0.0036 inRadial Form Clearance (Standard)0.0026 inINTERNAL SPLINEInternal Spline ANSI B92.1-1970 Std?YesFillet or Flat Root ('fil/'flt)filMajor Diameter - Min, roundedNA inMajor Diameter - Max, rounded2.8010 inForm Diameter, rounded2.7050 in3

UTS Integrated Gear SoftwareModel Title :Program 60-710Unit System:USRoll Angle at Form Diameter38.144 degMinor Diameter - Min, rounded2.5000 inMinor Diameter - Max, rounded2.5050 inTolerance Class5Machining Tolerance0.0014 inVariation Allowance0.0018 inMin Effective Space Width0.1571 inSpecification Required or ReferenceRequiredPlug Gage - Composite or SectorGO CmpMax Effective Space Width0.1585 inSpecification Required or ReferenceReferencePlug Gage - Composite or SectorNoneMin Actual Space Width0.1589 inSpecification Required or ReferenceReferencePlug Gage - Composite or SectorNoneMax Actual Space Width0.1603 inSpecification Required or ReferenceRequiredPlug Gage - Composite or SectorNO GO SecINTERNAL SPLINE: Size Between PinsPin Diameter0.14400 inMin Between 2 Pins2.4431 inMax Between 2 Pins2.4456 inMin Diameter Under 3 Pins2.4431 inMax Diameter Under 3 Pins2.4456 inMin Pin Contact Diameter2.6610 in4

60-710—Involute Splines and InspectionModel Title :Program 60-710Unit System:USMax Pin Contact Diameter2.6637 inINTERNAL SPLINE: Analytical InspectionTotal Index Variation0.0018 inProfile Variation0.0004 inProNI-0.0006 inSpline Length1.50 inLead Variation0.0005 inEXTERNAL SPLINEExternal Spline ANSI B92.1-1970 Std?YesFillet or Flat Root ('fil/'flt)filMajor Diameter - Max2.7000 inMajor Diameter - Min2.6950 inMajor Diameter Chamfer - MaxinMajor Diameter Chamfer - MininForm Diameter2.4950 inRoll Angle at Form Diameter27.347 degMinor Diameter - Min2.3990 inTolerance Class5Machining Tolerance0.0014 inVariation Allowance0.0018 inMax Eff Tooth Thickness0.1571 inSpecification Required or ReferenceRequiredRing Gage - Composite or SectorGO CmpMin Eff Tooth Thickness0.1557 inSpecification Required or ReferenceReference5

UTS Integrated Gear SoftwareModel Title :Program 60-710Unit System:USRing Gage - Composite or SectorNoneMax Actual Tooth Thickness0.1553 inSpecification Required or ReferenceReferenceRing Gage - Composite or SectorNoneMin Actual Tooth Thickness0.1539 inSpecification Required or ReferenceRequiredRing Gage - Composite or SectorNO GO SecEXTERNAL SPLINE: Size Over PinsPin Diameter0.19200 inMax Over 2 Pins2.8951 inMin Over 2 Pins2.8930 inMax Pin Contact Diameter2.6018 inMin Pin Contact Diameter2.5998 inEXTERNAL SPLINE: Analytical InspectionTotal Index Variation0.0018 inProfile Variation0.0004 inProNX-0.0006 inSpline Length1.50 inLead Variation0.0005 inPLOTS DATAMark mod/inv/fil intersections?yNumber of teeth on plot16

60-710—Involute Splines and InspectionModel Title :Program 60-710Unit System:USGAGESDimensioning Method (Def 'std, 'A, 'B)stdINTERNAL SPLINE GAGES: GO Composite Plug Gage: Front SectionMajor Diameter2.7055 inODxfGOi2.7050 inINTERNAL SPLINE GAGES: GO Composite Plug Gage: Rear SectionMajor Diameter - NewinODxrGOiinMajor Diameter - Wear LimitinINTERNAL SPLINE GAGES: GO Composite Plug Gage: ChamferDiameter to Chamfer, maxinChamfer Cutting Angle fr CL SpacedegForm Diameter2.4948 inMinor Diameter, Max2.4948 inTooth Thickness, New (REF)0.1574 inTooth Thickness, Wear Limit (REF)0.1571 inPin Diameter0.1920 inMax Size Over Pins - New2.89858 inMin Size Over Pins - New2.89843 inSize Over Pins - Wear Limit2.89796 inINTERNAL SPLINE GAGES: NOT GO Sector Plug GageMajor Diameter2.6710 inODxSi2.6690 in7

UTS Integrated Gear SoftwareModel Title :Program 60-710Unit System:USForm Diameter2.4948 inMinor Diameter, Max2.4948 inTooth Thickness, New (REF)0.1603 inPin Diameter0.1920 inMax Size Over Pins - New2.90295 inMin Size Over Pins - New2.90279 inNumber of Teeth in Sector2EXTERNAL SPLINE GAGES: GO Composite Ring GageBushing Bore, MaxinBushing Bore, MininMinor Diameter, Max2.4950 inMinor Diameter, Min2.4945 inForm Diameter2.7052 inMajor Diameter, Min2.7056 inSpace Width, New (REF)0.1568 inSpace Width, Wear Limit (REF)0.1571 inPin Diameter0.1728 inMin Size Between Pins - New2.34928 inMax Size Between Pins - New2.34947 inSize Between Pins - Wear Limit2.35004 inEXTERNAL SPLINE GAGES: NOT GO Sector Ring GageMinor Diameter, Max2.5310 inMinor Diameter, Min2.5290 inForm Diameter2.7000 inMajor Diameter, Min2.7000 in8

60-710—Involute Splines and InspectionModel Title :Program 60-710Unit System:USSpace Width0.1539 inPin Diameter0.1728 inMin Size Between Pins2.34387 inMax Size Between Pins2.34406 inNumber of Teeth in Sector2EXTERNAL SPLINE GAGES: GO Composite Ring Gage: Tapered External MasterMajor Diameter2.6950 inODGORMi2.6945 inForm Diameter2.4850 inMinor Diameter, Max2.4850 inEXTERNAL SPLINE GAGES: GO Composite Ring Gage: Tooth ThicknessEnd of Lead Length, XX0.1567 inEnd of Fit Range, YY0.1568 inEnd of Wear Range, ZZ0.1571 inPin Diameter0.1920 inSize Over Pins at XX2.89733 inSize Over Pins at YY2.89749 inSize Over Pins at ZZ2.89796 inEXTERNAL SPLINE GAGES: NOT GO Composite Ring Gage: Tooth ThicknessEnd of Lead Length, XXinEnd of Fit Range, YYinPin DiameterinSize Over Pins at XXinSize Over Pins at YYin9

UTS Integrated Gear SoftwareModel Title :Program 60-710Unit System:USEXTERNAL SPLINE GAGES: NOT GO Sector Ring Gage: Tapered External MasterMajor Diameter2.6950 inODSERMi2.6945 inForm Diameter2.5200 inMinor Diameter, Max2.4990 inEXTERNAL SPLINE GAGES: NOT GO Sector Ring Gage: Tooth ThicknessEnd of Lead Length, XX0.1539 inEnd of Fit Range, YY0.1540 inPin Diameter0.1920 inSize Over Pins at XX2.89295 inSize Over Pins at YY2.89311 inA plot of the teeth in assembly is available on the Plot Sheet or on the drop-downplots list in the Toolbar of the TK Solver model. (See Figure 1-2.) Individual plots ofthe internal and external splines are also available in the TK Solver model.10

60-710—Involute Splines and InspectionFig. 1-211

UTS Integrated Gear SoftwareExample 2This is a 12 tooth, 5/10 diametral pitch, major diameter fit spline. A Class 5tolerance is desired on both the internal and external splines. The spline length is 2”which we will enter in order to obtain analytical checking data for tooth alignment.We also wish to use the “A” gaging method and will print all data needed tomanufacture the gages, including tapered external masters to calibrate the ringgages for the external spline.Enter the data in the data input form as shown in Figure 2-1. The inputs andoutputs for the solved model are shown in Report 2.Fig. 2-112

60-710—Involute Splines and InspectionReport 2Model Title :Program 60-710Unit System:USCOMMONNumber of Teeth12Diametral Pitch5.000000 1/in Stub Pitch10.0000 1/in Spline Pitch5/10Standard Pressure Angle30.0000 degType of Fit ('maj or 'side Def 'side)majPitch Diameter2.4000000 inBase Dia2.0784610 inMax Effective Clearance0.0048 inMin Effective Clearance0.0018 inCOMMON: Theoretical from Measured TeethMax Actual Clearance0.0090 inMin Actual Clearance0.0060 inRadial Form Clearance (Standard)0.0024 inINTERNAL SPLINEInternal Spline ANSI B92.1-1970 Std?YesFillet or Flat Root ('fil/'flt)fltMajor Diameter - Min, rounded2.6000 inMajor Diameter - Max, rounded2.6017 in13

UTS Integrated Gear SoftwareModel Title :Program 60-710Unit System:USForm Diameter, rounded2.5610 inRoll Angle at Form Diameter41.246 degMinor Diameter - Min, rounded2.2120 inMinor Diameter - Max, rounded2.2200 inTolerance Class5Machining Tolerance0.0015 inVariation Allowance0.0021 inMin Effective Space Width0.3142 inSpecification Required or ReferenceRequiredPlug Gage - Composite or SectorGO CmpMax Effective Space Width0.3157 inSpecification Required or ReferenceRequiredPlug Gage - Composite or SectorNO GO CmpMin Actual Space Width0.3163 inSpecification Required or ReferenceReferencePlug Gage - Composite or SectorNoneMax Actual Space Width0.3178 inSpecification Required or ReferenceRequiredPlug Gage - Composite or SectorNO GO SecINTERNAL SPLINE: Size Between PinsPin Diameter0.28800 inMin Between 2 Pins2.0833 inMax Between 2 Pins2.0860 inMin Diameter Under 3 Pins2.0833 inMax Diameter Under 3 Pins2.0860 in14

60-710—Involute Splines and InspectionModel Title :Program 60-710Unit System:USMin Pin Contact Diameter2.5226 inMax Pin Contact Diameter2.5258 inINTERNAL SPLINE: Analytical InspectionTotal Index Variation0.0018 inProfile Variation0.0006 inProNI-0.0008 inSpline Length2.00 inLead Variation0.0005 inEXTERNAL SPLINEExternal Spline ANSI B92.1-1970 Std?YesFillet or Flat Root ('fil/'flt)fltMajor Diameter - Max2.5999 inMajor Diameter - Min2.5991 inMajor Diameter Chamfer - Max0.0340 inMajor Diameter Chamfer - Min0.0220 inForm Diameter2.2070 inRoll Angle at Form Diameter20.460 degMinor Diameter - Min2.1140 inTolerance Class5Machining Tolerance0.0015 inVariation Allowance0.0021 inMax Eff Tooth Thickness0.3124 inSpecification Required or ReferenceRequiredRing Gage - Composite or SectorGO CmpMin Eff Tooth Thickness0.3109 in15