o. - kadkraft.com · pdf file_o. ... are no longer defined in din743 . the values correspond...

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_O.GearBox.Shaft1.CalcShaft KISSsoft - Release 03-2011F KISSsoft evaluation

File Name : UnnamedChanged by : Amandeep on: 12.08.2011 at: 13:11:27

Important hint: At least one warning has occurred during the calculation:1-> Notching factor for- Light fit- Interference fit with reduction of pressureare no longer defined in DIN743 .The values correspond to the FKM-Guideline.

Analysis of shafts, axle and beams

Input data

Coordinate system shaft: see picture W-002

Label Shaft1DrawingInitial position (mm) 0.000Length (mm) 214.000Speed (1/min) 1000.00Sense of rotation: clockwise

Material C45 (1)Young's modulus (N/mm²) 206000.000Poisson's ratio nu 0.300Specific weight (kg/m³) 7830.000Warmth elongation coefficient (10^-6/K) 11.500Temperature (°C) 20.000Weight of shaft (kg) 0.628Mass moment of inertia (kgm²) 0.000Momentum of mass GD2 (Nm²) 0.002

Weight towards ( 0.000, 0.000,-1.000)Consider deformations due to shearingShear correction coefficient 1.100Contact angle of roller bearings is not consideredReference temperature (°C) 20.000

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Figure: Load applications

SHAFT GEOMETRY, BEARING AND FORCES

Shaft 'Shaft1':

Cylinder outside ('') y= 0.00...40.00 (mm)d=20.00 (mm), l=40.00 (mm), Rz= 4.8

Relief groove (e)(r): r= 0.80 mm t= 0.30 mm l= 2.50 mm Rz= 8.0 y= 40.00 (mm) Form E (DIN 509), Series 1, with the usual stressing



Relief groove (e)(l): r= 0.80 mm t= 0.30 mm l= 2.50 mm Rz= 8.0 y= 134.00 (mm) Form E (DIN 509), Series 1, with the usual stressing

Centric force ('CentricalLoad') y= 194.00 (mm)Width of force input (mm) 0.0000

Torque (Nm) -0.0000

Coupling ('Coupling(Boundary1)') y= 194.00 (mm)Eff. Diameter (mm) 20.0000Radial force coefficient (-) 0.0000Direction of radial force (°) 0.0000Axial force coefficient (-) 0.0000Width of force input (mm) 40.0000Power (kW) 10.4720 driven (Input)Torque (Nm) 100.0000Mass (kg) 0.0000

Cylindrical gear ('Gear1(c12)') y= 67.37 (mm)Reference diameter (mm) 33.3333Helix angle (°) 12.4081 rightPressure angle (°) 24.5984Position of contact point (°) 0.0000

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Width of force input (mm) 34.4970Power (kW) 10.4720 driving (Output)Torque (Nm) -100.0000Axial force (N) 1320.0742Shearing force X (N) -2812.5056Shearing force Z (N) 5999.9999Bending moment X (Nm) -0.0000Bending moment Z (Nm) 22.0012

Fixed bearing ('Bearing1')Deep groove ball bearing (single row) (SKF 6404) y= 20.00 (mm)d = 20.00 (mm), D = 72.00 (mm), B = 19.00 (mm), r = 1.10 (mm)C = 30.700 kN, C0 = 15.000 kN, Cu = 0.640 kNBearing clearance DIN 620 C0 (12.50 µm)

Free bearing ('Bearing2')Deep groove ball bearing (single row) (SKF *6304) y= 154.00 (mm)d = 20.00 (mm), D = 52.00 (mm), B = 15.00 (mm), r = 1.10 (mm)C = 16.800 kN, C0 = 7.800 kN, Cu = 0.335 kNBearing clearance DIN 620 C0 (12.50 µm)

________________________________________________________________________

max. deflection 0.11378 mm (Shaft1, 214.00 (mm))

Center of massShaft1 103.8 mm

Probability of failure [n] 10.00 %Axial clearance [uA] 10.00 µmRoller bearings, classical calculation (contact angle not considered)

Shaft 'Shaft1' Roller bearing 'Bearing1'Position (Y-coordinate) [y] 20.00 mmEquivalent load [P] 4.42 kNEquivalent load [P0] 4.21 kNLife modification factor for reliability[a1] 1.000Service life [Lnh] 5573.94 hstatic safety factor [S0] 3.56Bearing reaction force [Fx] 1.654 kNBearing reaction force [Fy] -1.320 kNBearing reaction force [Fz] -3.877 kNBearing reaction force [Fr] 4.215 kN (-66.89°)Torque of friction [Mloss] 0.109 NmDisplacement of bearing [ux] -0.002 mmDisplacement of bearing [uy] 0.010 mmDisplacement of bearing [uz] 0.006 mmDisplacement of bearing [ur] 0.006 mm (113.11°)Misalignment of bearing [rx] 2.187 mrad (7.52')Misalignment of bearing [ry] 0.000 mrad (0')Misalignment of bearing [rz] 1.068 mrad (3.67')Misalignment of bearing [rr] 2.434 mrad (8.37')

Shaft 'Shaft1' Roller bearing 'Bearing2'Position (Y-coordinate) [y] 154.00 mmEquivalent load [P] 2.41 kNEquivalent load [P0] 2.41 kNLife modification factor for reliability[a1] 1.000Service life [Lnh] 5621.29 hstatic safety factor [S0] 3.23Bearing reaction force [Fx] 1.158 kNBearing reaction force [Fy] 0.000 kNBearing reaction force [Fz] -2.117 kNBearing reaction force [Fr] 2.413 kN (-61.31°)Torque of friction [Mloss] 0.051 NmDisplacement of bearing [ux] -0.003 mmDisplacement of bearing [uy] 0.011 mmDisplacement of bearing [uz] 0.006 mmDisplacement of bearing [ur] 0.006 mm (118.69°)Misalignment of bearing [rx] -1.777 mrad (-6.11')Misalignment of bearing [ry] 4.189 mrad (14.4')Misalignment of bearing [rz] -0.920 mrad (-3.16')Misalignment of bearing [rr] 2.001 mrad (6.88')

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Figure: Displacement (bending etc.) (Arbitrary plane -62.7107828 °)

GEH(von Mises): sigV = ((sigB+sigZ,D)^2 + 3*(tauT+tauS)^2)^1/2

Figure: Equivalent stress

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Strength calculation according to DIN 743 (Edition 2000-10)

Summary

Label Shaft1Drawing

Material C45 (1)Material type Through hardened steelMaterial treatment unalloyed, through hardenedSurface treatment No

Calculation of endurance limit and the static strengthCalculation for load case 2 (sig.av/sig.mv = const)

Cross section Position (Y-Coord) (mm) A-A 40.00 Shoulder with relief groove B-B 134.00 Shoulder with relief groove C-C 80.31 Smooth shaft D-D 37.10 Smooth shaft E-E 137.40 Smooth shaft F-F 147.60 Interference fitResults: Cross section Kfb Kfsig K2d SD SS A-A 1.98 0.90 0.93 1.23 2.94 B-B 1.98 0.90 0.93 1.69 2.42 C-C 1.00 0.92 0.92 1.81 2.33 D-D 1.00 0.92 0.93 3.02 3.39 E-E 1.00 0.92 0.93 3.24 2.70 F-F 1.56 1.00 0.93 3.54 2.93

Nominal safety: 1.20 1.20

Abbreviations:Kfb: Notch factor bendingKfsig: Surface factorK2d: Size coefficient bendingSD: Safety endurance limitSS: Safety against yield point

The requirements of the safety proof of the shaft are:

satisfied [x] not satisfied [ ]

Design engineer:................... Date:........... Signature:......

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Figure: Strength

Calculation details:

General statements

Label Shaft1DrawingLength (mm) [l] 214.00Speed (1/min) [n] 1000.00


Tension/Compression Bending Torsion ShearingLoad factor static calculation 1.700 1.700 1.700 1.700Load factor endurance limit 1.000 1.000 1.000 1.000

Reference diameter material (mm) [dB] 16.00sigB according DIN 743 (at dB) (N/mm²) [sigB] 700.00sigS according DIN 743 (at dB) (N/mm²) [sigS] 490.00[sigzdW] (bei dB) (N/mm²) 280.00[sigbW] (bei dB) (N/mm²) 350.00[tautW] (bei dB) (N/mm²) 210.00Thickness of raw material (mm) [dWerkst] 25.00Material data calculated according DIN743/3 with K1(d)Material strength calculated from size of raw materialGeometric size coefficient K1d calculated from raw material diameter[sigBeff] (N/mm²) 664.72[sigSeff] (N/mm²) 465.31[sigbF] (N/mm²) 558.37[tautF] (N/mm²) 322.37

[sigzdW] (N/mm²) 265.89[sigbW] (N/mm²) 332.36[tautW] (N/mm²) 199.42

Endurance limit for single stage use

Calculation for load case 2 (sig.av/sig.mv = const)

Cross section 'A-A' Shoulder with relief groove

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Comment Y= 40.00mmPosition (Y-Coordinate) (mm) [y] 40.00External diameter (mm) [da] 20.000Inner diameter (mm) [di] 0.000Notch effect Shoulder with relief groove[D, d, D1, r, t] (mm) 24.00 19.40 20.00 0.80 0.30Shape BMean roughness (µm) [Rz] 8.000

Tension/Compression Bending Torsion ShearingStress: (N) (Nm)Mean value 660.037 0.000 0.000 0.000Amplitude 660.037 84.311 0.000 4215.529Maximum value 2244.126 143.329 0.000 7166.399Cross section, moment of resistance: (mm²)[A, Wb, Wt, A] 295.592 716.81 1433.62 295.592

Stresses: (N/mm²)[sigzdm, sigbm, taum, tauqm] (N/mm²) 2.233 0.000 0.000 0.000[sigzda, sigba, taua, tauqa] (N/mm²) 2.233 117.620 0.000 19.015[sigzdmax,sigbmax,taumax,tauqmax] (N/mm²) 7.592 199.954 0.000 32.326

Technological size influence [K1(sigB)] 0.950 [K1(sigS)] 0.950

Tension/Compression Bending TorsionStress concentration factor [alfa] 2.649 2.346 1.629References stress slope [G'] 3.202 3.202 1.437support coefficient n [n] 1.186 1.186 1.125Notch effect coefficient [beta] 2.233 1.978 1.449Geometrical size influence [K2(d)] 1.000 0.935 0.935Influence coefficient surface roughness [KF] 0.896 0.896 0.940Influence coefficient surface strengthening [KV] 1.000 1.000 1.000Total influence coefficient [K] 2.349 2.232 1.614

Present margin of safety for endurance limit:Equivalent mean stress (N/mm²) [sigmV] 2.233Equivalent mean stress (N/mm²) [taumV] 1.289Fatigue limit of part (N/mm²) [sigWK] 113.192 148.893 123.587Influence coeff. mean stress sensitivity. [PsisigK] 0.093 0.126 0.102Possible amplitude (N/mm²) [sigADK] 103.554 148.538 0.250Margin of safety endurance limit [S] 1.229Required safety [Smin] 1.200Result (%) [S/Smin] 102.4

Present margin of safetyfor proof against exceed of yield point:Static support number [K2F] 1.000 1.200 1.200Increase coefficient [gammaF] 1.100 1.100 1.000Yield stress of part (N/mm²) [sigFK] 511.838 614.206 322.374Margin of safety yield stress [S] 2.938Required safety [Smin] 1.200Result (%) [S/Smin] 244.8

Cross section 'B-B' Shoulder with relief groove Comment Y= 134.00mmPosition (Y-Coordinate) (mm) [y] 134.00External diameter (mm) [da] 20.000Inner diameter (mm) [di] 0.000Notch effect Shoulder with relief groove[D, d, D1, r, t] (mm) 24.00 19.40 20.00 0.80 0.30Shape BMean roughness (µm) [Rz] 8.000



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Cross section 'C-C' Smooth shaft CommentPosition (Y-Coordinate) (mm) [y] 80.31External diameter (mm) [da] 24.000Inner diameter (mm) [di] 0.000Notch effect Smooth shaftMean roughness (µm) [Rz] 4.800




Tension/Compression Bending TorsionNotch effect coefficient [beta(dB)] 0.000 0.000 0.000[dB] (mm) = 0.0Geometrical size influence [K3(d)] 0.000 0.000 0.000Geometrical size influence [K3(dB)] 0.000 0.000 0.000Notch effect coefficient [beta] 1.000 1.000 1.000Geometrical size influence [K2(d)] 1.000 0.922 0.922Influence coefficient surface roughness [KF] 0.922 0.922 0.955Influence coefficient surface strengthening [KV] 1.000 1.000 1.000Total influence coefficient [K] 1.085 1.169 1.131

Present margin of safety for endurance limit:Equivalent mean stress (N/mm²) [sigmV] 27.918Equivalent mean stress (N/mm²) [taumV] 16.118Fatigue limit of part (N/mm²) [sigWK] 245.104 284.314 176.279Influence coeff. mean stress sensitivity. [PsisigK] 0.226 0.272 0.153Possible amplitude (N/mm²) [sigADK] 3.020 268.517 152.905

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Margin of safety endurance limit [S] 1.814Required safety [Smin] 1.200Result (%) [S/Smin] 151.2


Cross section 'D-D' Smooth shaft CommentPosition (Y-Coordinate) (mm) [y] 37.10External diameter (mm) [da] 20.000Inner diameter (mm) [di] 0.000Notch effect Smooth shaftMean roughness (µm) [Rz] 4.800







Cross section 'E-E' Smooth shaft CommentPosition (Y-Coordinate) (mm) [y] 137.40External diameter (mm) [da] 20.000Inner diameter (mm) [di] 0.000Notch effect Smooth shaftMean roughness (µm) [Rz] 4.800

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Tension/Compression Bending Torsion ShearingStress: (N) (Nm)Mean value -0.000 0.000 50.000 0.000Amplitude 0.000 40.126 50.000 2415.155Maximum value -0.000 68.214 170.000 4105.763Cross section, moment of resistance: (mm²)[A, Wb, Wt, A] 314.159 785.40 1570.80 314.159

Stresses: (N/mm²)[sigzdm, sigbm, taum, tauqm] (N/mm²) -0.000 0.000 31.831 0.000[sigzda, sigba, taua, tauqa] (N/mm²) 0.000 51.090 31.831 10.250[sigzdmax,sigbmax,taumax,tauqmax] (N/mm²) -0.000 86.853 108.225 17.425





Cross section 'F-F' Interference fit Comment Fit at bearing 2Position (Y-Coordinate) (mm) [y] 147.60External diameter (mm) [da] 20.000Inner diameter (mm) [di] 0.000Notch effect Interference fit Characteristics: Slight interference fitMean roughness (µm) [Rz] 4.800

Tension/Compression Bending Torsion ShearingStress: (N) (Nm)Mean value -0.000 0.000 50.000 0.000Amplitude 0.000 15.493 50.000 2414.930Maximum value -0.000 26.338 170.000 4105.381Cross section, moment of resistance: (mm²)[A, Wb, Wt, A] 314.159 785.40 1570.80 314.159



Tension/Compression Bending TorsionNotch effect coefficient [beta(dB)] 1.563 1.563 1.253[dB] (mm) = 20.0Geometrical size influence [K3(d)] 0.987 0.987 0.994Geometrical size influence [K3(dB)] 0.987 0.987 0.994

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Notch effect coefficient [beta] 1.563 1.563 1.253Geometrical size influence [K2(d)] 1.000 0.935 0.935Influence coefficient surface roughness [KF] 1.000 1.000 1.000Roughness factor is included into the notch effect coefficientInfluence coefficient surface strengthening [KV] 1.000 1.000 1.000Total influence coefficient [K] 1.563 1.672 1.341



Remarks:- The shearing force is not considered in the analysis according to DIN 743..- Cross section with square groove: The reference diameter for the notch number is not defined. Therefore the shaft diameter is taken as reference diameter..- Cross section with interference fit: The notching factor for the light fit case is no longer defined in DIN 743. The values are imported from the FKM-Guideline..

End report lines: 670

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File Name : UnnamedChanged by : Harinder on: 12.08.2011 at: 13:11:29


Input data


Label Shaft2DrawingInitial position (mm) 0.000Length (mm) 174.000Speed (1/min) 200.00Sense of rotation: counter clockwise




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Shaft 'Shaft2':






Cylindrical gear ('Gear2(c12)') y= 67.37 (mm)Reference diameter (mm) 166.6667Helix angle (°) 12.4081 leftPressure angle (°) 24.5984Position of contact point (°) 180.0000Width of force input (mm) 34.4970Power (kW) 10.2625 driven (Input)Torque (Nm) -490.0000Axial force (N) -1293.6727Shearing force X (N) 2756.2555Shearing force Z (N) -5879.9999Bending moment X (Nm) 0.0000Bending moment Z (Nm) 107.8061

Cylindrical gear ('Gear3(c34)') y= 115.61 (mm)Reference diameter (mm) 64.0000Helix angle (°) 16.3840 rightPressure angle (°) 23.3285Position of contact point (°) 0.0000Width of force input (mm) 35.8830Power (kW) 10.2625 driving (Output)Torque (Nm) 490.0000Axial force (N) -4502.0768Shearing force X (N) -6883.1419Shearing force Z (N) -15312.4997Bending moment X (Nm) 0.0000Bending moment Z (Nm) -144.0665


Free bearing ('Bearing2')Deep groove ball bearing (single row) (SKF 6407) y= 154.00 (mm)d = 35.00 (mm), D = 100.00 (mm), B = 25.00 (mm), r = 1.50 (mm)C = 55.300 kN, C0 = 31.000 kN, Cu = 1.290 kNBearing clearance DIN 620 C0 (13.00 µm)

________________________________________________________________________




Shaft 'Shaft2' Roller bearing 'Bearing1'Position (Y-coordinate) [y] 20.00 mmEquivalent load [P] 12.18 kN

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Equivalent load [P0] 8.21 kNLife modification factor for reliability[a1] 1.000Service life [Lnh] 7802.44 hstatic safety factor [S0] 3.78Bearing reaction force [Fx] 0.461 kNBearing reaction force [Fy] 5.796 kNBearing reaction force [Fz] 8.196 kNBearing reaction force [Fr] 8.209 kN (86.78°)Torque of friction [Mloss] 0.531 NmDisplacement of bearing [ux] -0.000 mmDisplacement of bearing [uy] -0.010 mmDisplacement of bearing [uz] -0.007 mmDisplacement of bearing [ur] 0.007 mm (-93.22°)Misalignment of bearing [rx] -0.641 mrad (-2.2')Misalignment of bearing [ry] 0.000 mrad (0')Misalignment of bearing [rz] 0.184 mrad (0.63')Misalignment of bearing [rr] 0.667 mrad (2.29')

Shaft 'Shaft2' Roller bearing 'Bearing2'Position (Y-coordinate) [y] 154.00 mmEquivalent load [P] 13.52 kNEquivalent load [P0] 13.52 kNLife modification factor for reliability[a1] 1.000Service life [Lnh] 5703.92 hstatic safety factor [S0] 2.29Bearing reaction force [Fx] 3.666 kNBearing reaction force [Fy] 0.000 kNBearing reaction force [Fz] 13.012 kNBearing reaction force [Fr] 13.519 kN (74.26°)Torque of friction [Mloss] 0.555 NmDisplacement of bearing [ux] -0.002 mmDisplacement of bearing [uy] -0.012 mmDisplacement of bearing [uz] -0.006 mmDisplacement of bearing [ur] 0.007 mm (-105.74°)Misalignment of bearing [rx] 0.745 mrad (2.56')Misalignment of bearing [ry] 0.977 mrad (3.36')Misalignment of bearing [rz] -0.257 mrad (-0.88')Misalignment of bearing [rr] 0.788 mrad (2.71')

Figure: Displacement (bending etc.) (Arbitrary plane 72.9505654 °)

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Summary

Label Shaft2Drawing



Cross section Position (Y-Coord) (mm) A-A 134.00 Shoulder with relief groove B-B 97.67 Smooth shaft C-C 40.00 Shoulder with relief grooveResults: Cross section Kfb Kfsig K2d SD SS A-A 2.29 0.90 0.90 1.72 4.97 B-B 1.00 0.93 0.88 2.53 3.46 C-C 2.29 0.90 0.90 2.62 9.91






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Figure: Strength


General statements









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Tension/Compression Bending Torsion ShearingStress: (N) (Nm)Mean value -0.0 0.0 0.0 0.0Amplitude 0.0 270.3 0.0 13516.0Maximum value -0.0 459.5 0.0 22977.2Cross section, moment of resistance: (mm²)[A, Wb, Wt, A] 929.4 3996 7993 929.4






Cross section 'B-B' Smooth shaft CommentPosition (Y-Coordinate) (mm) [y] 97.67External diameter (mm) [da] 42.000Inner diameter (mm) [di] 0.000Notch effect Smooth shaftMean roughness (µm) [Rz] 4.800



Technological size influence [K1(sigB)] 0.883

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[K1(sigS)] 0.883




Cross section 'C-C' Shoulder with relief groove Comment Y= 40.00mmPosition (Y-Coordinate) (mm) [y] 40.00External diameter (mm) [da] 35.000Inner diameter (mm) [di] 0.000Notch effect Shoulder with relief groove[D, d, D1, r, t] (mm) 42.00 34.40 35.00 0.80 0.30Shape BMean roughness (µm) [Rz] 8.000






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File Name : UnnamedChanged by : Harinder on: 12.08.2011 at: 13:11:31

Important hint: At least one warning has occurred during the calculation:1-> The static margin of safety of bearing 'Shaft 'Shaft3', Roller bearing 'Bearing1'' is low (in range0.5 - 2.0).

Please check whether these values are acceptable or not.

2-> The static margin of safety of bearing 'Shaft 'Shaft3', Roller bearing 'Bearing2'' is low (in range0.5 - 2.0).



Input data


Label Shaft3DrawingInitial position (mm) 0.000Length (mm) 174.000Speed (1/min) 59.26Sense of rotation: clockwise



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Shaft 'Shaft3':






Cylindrical gear ('Gear4(c34)') y= 115.61 (mm)Reference diameter (mm) 216.0000Helix angle (°) 16.3840 leftPressure angle (°) 23.3285Position of contact point (°) 180.0000Width of force input (mm) 35.8830Power (kW) 10.0573 driven (Input)Torque (Nm) 1620.6750Axial force (N) 4412.0353Shearing force X (N) 6745.4791Shearing force Z (N) 15006.2497Bending moment X (Nm) -0.0000Bending moment Z (Nm) -476.4998

Cylindrical gear ('Gear5(c56)') y= 67.37 (mm)Reference diameter (mm) 86.2687Helix angle (°) 14.4913 leftPressure angle (°) 24.7035Position of contact point (°) 0.0000Width of force input (mm) 53.4090Power (kW) 10.0573 driving (Output)

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Torque (Nm) -1620.6750Axial force (N) -9710.8797Shearing force X (N) -17852.2663Shearing force Z (N) 37572.7415Bending moment X (Nm) 0.0000Bending moment Z (Nm) -418.8723


Free bearing ('Bearing2')Deep groove ball bearing (single row) (SKF 6409) y= 154.00 (mm)d = 45.00 (mm), D = 120.00 (mm), B = 29.00 (mm), r = 2.00 (mm)C = 76.100 kN, C0 = 45.000 kN, Cu = 1.900 kNBearing clearance DIN 620 C0 (14.50 µm)

________________________________________________________________________




Shaft 'Shaft3' Roller bearing 'Bearing1'Position (Y-coordinate) [y] 20.00 mmEquivalent load [P] 32.89 kNEquivalent load [P0] 32.89 kNLife modification factor for reliability[a1] 1.000Service life [Lnh] 5223.18 hstatic safety factor [S0] 1.58Bearing reaction force [Fx] 16.290 kNBearing reaction force [Fy] 5.299 kNBearing reaction force [Fz] -28.573 kNBearing reaction force [Fr] 32.891 kN (-60.31°)Torque of friction [Mloss] 2.119 NmDisplacement of bearing [ux] -0.004 mmDisplacement of bearing [uy] -0.010 mmDisplacement of bearing [uz] 0.006 mmDisplacement of bearing [ur] 0.007 mm (119.69°)Misalignment of bearing [rx] 0.449 mrad (1.54')Misalignment of bearing [ry] 0.000 mrad (0')Misalignment of bearing [rz] 0.085 mrad (0.29')Misalignment of bearing [rr] 0.457 mrad (1.57')

Shaft 'Shaft3' Roller bearing 'Bearing2'Position (Y-coordinate) [y] 154.00 mmEquivalent load [P] 24.53 kNEquivalent load [P0] 24.53 kNLife modification factor for reliability[a1] 1.000Service life [Lnh] 8398.81 hstatic safety factor [S0] 1.83Bearing reaction force [Fx] -5.184 kNBearing reaction force [Fy] 0.000 kNBearing reaction force [Fz] -23.975 kNBearing reaction force [Fr] 24.529 kN (-102.2°)Torque of friction [Mloss] 1.348 NmDisplacement of bearing [ux] 0.002 mmDisplacement of bearing [uy] -0.010 mmDisplacement of bearing [uz] 0.007 mmDisplacement of bearing [ur] 0.007 mm (77.8°)Misalignment of bearing [rx] -0.434 mrad (-1.49')Misalignment of bearing [ry] 0.776 mrad (2.67')Misalignment of bearing [rz] -0.138 mrad (-0.47')Misalignment of bearing [rr] 0.456 mrad (1.57')

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Summary

Label Shaft3Drawing



Cross section Position (Y-Coord) (mm) A-A 40.00 Shoulder with relief groove B-B 134.00 Shoulder with relief groove C-C 94.08 Smooth shaftResults: Cross section Kfb Kfsig K2d SD SS A-A 2.53 0.91 0.87 1.72 6.41 B-B 2.51 0.91 0.88 1.75 5.86 C-C 1.00 0.93 0.86 2.65 3.34






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Figure: Strength


General statements









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Cross section 'B-B' Shoulder with relief groove Comment Y= 134.00mmPosition (Y-Coordinate) (mm) [y] 134.00External diameter (mm) [da] 45.000Inner diameter (mm) [di] 0.000Notch effect Shoulder with relief groove[D, d, D1, r, t] (mm) 60.00 44.40 45.00 0.80 0.30Shape BMean roughness (µm) [Rz] 8.000



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Cross section 'C-C' Smooth shaft CommentPosition (Y-Coordinate) (mm) [y] 94.08External diameter (mm) [da] 60.000Inner diameter (mm) [di] 0.000Notch effect Smooth shaftMean roughness (µm) [Rz] 4.800

Tension/Compression Bending Torsion ShearingStress: (N) (Nm)Mean value 2206.0 0.0 810.3 0.0Amplitude 2206.0 1159.5 810.3 9117.6Maximum value 7500.5 1971.1 2755.1 15499.9Cross section, moment of resistance: (mm²)[A, Wb, Wt, A] 2827.4 21206 42412 2827.4





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Important hint: At least one warning has occurred during the calculation:1-> The static margin of safety of bearing 'Shaft 'Shaft4', Roller bearing 'Bearing1'' is low (in range0.5 - 2.0).


2-> The static margin of safety of bearing 'Shaft 'Shaft4', Roller bearing 'Bearing2'' is low (in range0.5 - 2.0).


3-> Notching factor for- Light fit- Interference fit with reduction of pressureare no longer defined in DIN743 .The values correspond to the FKM-Guideline.

4-> Notching factor for- Light fit- Interference fit with reduction of pressureare no longer defined in DIN743 .The values correspond to the FKM-Guideline.


Input data


Label Shaft4DrawingInitial position (mm) 0.000Length (mm) 214.000Speed (1/min) 20.15Sense of rotation: counter clockwise



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Shaft 'Shaft4':






Centric force ('CentricalLoad') y= 194.00 (mm)Width of force input (mm) 0.0000

Torque (Nm) 0.0000

Coupling ('Coupling(Boundary2)') y= 194.00 (mm)Eff. Diameter (mm) 60.0000Radial force coefficient (-) 0.0000Direction of radial force (°) 0.0000Axial force coefficient (-) 0.0000Width of force input (mm) 40.0000Power (kW) 9.8561 driving (Output)Torque (Nm) 4671.3574Mass (kg) 0.0000

Cylindrical gear ('Gear6(c56)') y= 67.37 (mm)Reference diameter (mm) 253.7313Helix angle (°) 14.4913 rightPressure angle (°) 24.7035Position of contact point (°) 180.0000

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Width of force input (mm) 53.4090Power (kW) 9.8561 driven (Input)Torque (Nm) -4671.3574Axial force (N) 9516.6621Shearing force X (N) 17495.2210Shearing force Z (N) -36821.2867Bending moment X (Nm) -0.0000Bending moment Z (Nm) -1207.3378

Fixed bearing ('Bearing1')Deep groove ball bearing (single row) (SKF *6212) y= 20.00 (mm)d = 60.00 (mm), D = 110.00 (mm), B = 22.00 (mm), r = 1.50 (mm)C = 55.300 kN, C0 = 36.000 kN, Cu = 1.530 kNBearing clearance DIN 620 C0 (18.00 µm)

Free bearing ('Bearing2')Deep groove ball bearing (single row) (SKF *6212) y= 154.00 (mm)d = 60.00 (mm), D = 110.00 (mm), B = 22.00 (mm), r = 1.50 (mm)C = 55.300 kN, C0 = 36.000 kN, Cu = 1.530 kNBearing clearance DIN 620 C0 (18.00 µm)

________________________________________________________________________




Shaft 'Shaft4' Roller bearing 'Bearing1'Position (Y-coordinate) [y] 20.00 mmEquivalent load [P] 24.38 kNEquivalent load [P0] 23.94 kNLife modification factor for reliability[a1] 1.000Service life [Lnh] 9654.42 hstatic safety factor [S0] 1.50Bearing reaction force [Fx] -2.300 kNBearing reaction force [Fy] -9.517 kNBearing reaction force [Fz] 23.825 kNBearing reaction force [Fr] 23.936 kN (95.51°)Torque of friction [Mloss] 1.633 NmDisplacement of bearing [ux] 0.001 mmDisplacement of bearing [uy] 0.010 mmDisplacement of bearing [uz] -0.009 mmDisplacement of bearing [ur] 0.009 mm (-84.49°)Misalignment of bearing [rx] -0.135 mrad (-0.46')Misalignment of bearing [ry] 0.000 mrad (0')Misalignment of bearing [rz] -0.178 mrad (-0.61')Misalignment of bearing [rr] 0.223 mrad (0.77')

Shaft 'Shaft4' Roller bearing 'Bearing2'Position (Y-coordinate) [y] 154.00 mmEquivalent load [P] 20.03 kNEquivalent load [P0] 20.03 kNLife modification factor for reliability[a1] 1.000Service life [Lnh] 17405.55 hstatic safety factor [S0] 1.80Bearing reaction force [Fx] -15.195 kNBearing reaction force [Fy] 0.000 kNBearing reaction force [Fz] 13.052 kNBearing reaction force [Fr] 20.031 kN (139.34°)Torque of friction [Mloss] 1.150 NmDisplacement of bearing [ux] 0.007 mmDisplacement of bearing [uy] 0.011 mmDisplacement of bearing [uz] -0.006 mmDisplacement of bearing [ur] 0.009 mm (-40.66°)Misalignment of bearing [rx] 0.156 mrad (0.54')Misalignment of bearing [ry] 2.416 mrad (8.3')Misalignment of bearing [rz] 0.047 mrad (0.16')Misalignment of bearing [rr] 0.164 mrad (0.56')

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Summary

Label Shaft4Drawing



Cross section Position (Y-Coord) (mm) A-A 134.00 Shoulder with relief groove B-B 144.50 Interference fit C-C 163.49 Interference fit D-D 154.00 Smooth shaft E-E 174.00 Smooth shaft F-F 80.72 Smooth shaftResults: Cross section Kfb Kfsig K2d SD SS A-A 2.67 0.91 0.86 1.22 1.45 B-B 1.98 1.00 0.86 1.61 1.50 C-C 1.98 1.00 0.86 1.62 1.50 D-D 1.00 0.93 0.86 2.09 1.50 E-E 1.00 0.93 0.86 2.09 1.50 F-F 1.00 0.93 0.85 2.88 3.20






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Figure: Strength


General statements









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Cross section 'B-B' Interference fit Comment Fit at bearing 2Position (Y-Coordinate) (mm) [y] 144.50External diameter (mm) [da] 60.000Inner diameter (mm) [di] 0.000Notch effect Interference fit Characteristics: Slight interference fitMean roughness (µm) [Rz] 4.800



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Tension/Compression Bending TorsionNotch effect coefficient [beta(dB)] 1.976 1.976 1.439[dB] (mm) = 60.0Geometrical size influence [K3(d)] 0.959 0.959 0.978Geometrical size influence [K3(dB)] 0.959 0.959 0.978Notch effect coefficient [beta] 1.976 1.976 1.439Geometrical size influence [K2(d)] 1.000 0.861 0.861Influence coefficient surface roughness [KF] 1.000 1.000 1.000Roughness factor is included into the notch effect coefficientInfluence coefficient surface strengthening [KV] 1.000 1.000 1.000Total influence coefficient [K] 1.976 2.294 1.671



Cross section 'C-C' Interference fit Comment Fit at bearing 2Position (Y-Coordinate) (mm) [y] 163.49External diameter (mm) [da] 60.000Inner diameter (mm) [di] 0.000Notch effect Interference fit Characteristics: Slight interference fitMean roughness (µm) [Rz] 4.800




Tension/Compression Bending TorsionNotch effect coefficient [beta(dB)] 1.976 1.976 1.439[dB] (mm) = 60.0Geometrical size influence [K3(d)] 0.959 0.959 0.978Geometrical size influence [K3(dB)] 0.959 0.959 0.978Notch effect coefficient [beta] 1.976 1.976 1.439Geometrical size influence [K2(d)] 1.000 0.861 0.861Influence coefficient surface roughness [KF] 1.000 1.000 1.000Roughness factor is included into the notch effect coefficientInfluence coefficient surface strengthening [KV] 1.000 1.000 1.000Total influence coefficient [K] 1.976 2.294 1.671

Present margin of safety for endurance limit:Equivalent mean stress (N/mm²) [sigmV] 95.387Equivalent mean stress (N/mm²) [taumV] 55.072Fatigue limit of part (N/mm²) [sigWK] 116.999 125.946 103.747

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Influence coeff. mean stress sensitivity. [PsisigK] 0.113 0.122 0.099Possible amplitude (N/mm²) [sigADK] 0.004 0.066 94.434Margin of safety endurance limit [S] 1.625Required safety [Smin] 1.200Result (%) [S/Smin] 135.4


Cross section 'D-D' Smooth shaft CommentPosition (Y-Coordinate) (mm) [y] 154.00External diameter (mm) [da] 60.000Inner diameter (mm) [di] 0.000Notch effect Smooth shaftMean roughness (µm) [Rz] 4.800







Cross section 'E-E' Smooth shaft CommentPosition (Y-Coordinate) (mm) [y] 174.00External diameter (mm) [da] 60.000Inner diameter (mm) [di] 0.000

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Notch effect Smooth shaftMean roughness (µm) [Rz] 4.800







Cross section 'F-F' Smooth shaft CommentPosition (Y-Coordinate) (mm) [y] 80.72External diameter (mm) [da] 72.000Inner diameter (mm) [di] 0.000Notch effect Smooth shaftMean roughness (µm) [Rz] 4.800




Tension/Compression Bending TorsionNotch effect coefficient [beta(dB)] 0.000 0.000 0.000[dB] (mm) = 0.0

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Geometrical size influence [K3(d)] 0.000 0.000 0.000Geometrical size influence [K3(dB)] 0.000 0.000 0.000Notch effect coefficient [beta] 1.000 1.000 1.000Geometrical size influence [K2(d)] 1.000 0.849 0.849Influence coefficient surface roughness [KF] 0.931 0.931 0.960Influence coefficient surface strengthening [KV] 1.000 1.000 1.000Total influence coefficient [K] 1.074 1.252 1.219





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_O.GearBox.c12.CalcPair KISSsoft - Release 03-2011F KISSsoft evaluation


CALCULATION OF A HELICAL GEAR PAIR

Drawing or article number:Gear 1: 0.000.0Gear 2: 0.000.0

Calculation method ISO 6336:2006 Method B

------- GEAR 1 -------- GEAR 2 --

Power (kW) [P] 10.472Speed (1/min) [n] 1000.0 200.0Torque (Nm) [T] 100.0 500.0Application factor [KA] 1.25Required service life [H] 5000.00Gear driving (+) / driven (-) + -

1. TOOTH GEOMETRY AND MATERIAL

(Geometry calculation according ISO 21771) ------- GEAR 1 -------- GEAR 2 --Center distance (mm) [a] 100.000Centre distance tolerance ISO 286 Measure js7Normal module (mm) [mn] 2.2500Pressure angle at normal section (°) [alfn] 20.0000Helix angle at reference circle (°) [beta] 12.0000Number of teeth [z] 14 70Facewidth (mm) [b] 34.50 34.50Hand of gear right leftAccuracy grade [Q-ISO1328] 6 6Inner diameter (mm) [di] 0.00 0.00Inner diameter of gear rim (mm) [dbi] 0.00 0.00

MaterialGear 1: 18CrNiMo7-6, Case-carburized steel, case-hardened ISO 6336-5 Figure 9/10 (MQ), core strength >=25HRC Jominy J=12mm<HRC28Gear 2: 18CrNiMo7-6, Case-carburized steel, case-hardened ISO 6336-5 Figure 9/10 (MQ), core strength >=25HRC Jominy J=12mm<HRC28

------- GEAR 1 -------- GEAR 2 --Surface hardness HRC 61 HRC 61Material quality according to ISO6336: Normal (Life factors ZNT and YNT >=0.85)Fatigue strength. tooth root stress (N/mm²) [sigFlim] 430.00 430.00Fatigue strength for Hertzian pressure (N/mm²) [sigHlim] 1500.00 1500.00Tensile strength (N/mm²) [Rm] 1200.00 1200.00Yield point (N/mm²) [Rp] 850.00 850.00Young's modulus (N/mm²) [E] 206000 206000Poisson's ratio [ny] 0.300 0.300Average roughness, Ra, tooth flank (µm) [RAH] 0.60 0.60Mean roughness height, Rz, flank (µm) [RZH] 4.80 4.80Mean roughness height, Rz, root (µm) [RZF] 20.00 20.00

Tool or reference profile of gear 1 :Reference profile 1.25 / 0.38 / 1.0 ISO 53.2 Profil AAddendum coefficient [haP*] 1.000Dedendum coefficient [hfP*] 1.250Tip radius factor [rhoaP*] 0.000Root radius factor [rhofP*] 0.380Tip form height coefficient [hFaP*] 0.000Protuberance height factor [hprP*] 0.000Protuberance angle [alfprP] 0.000Ramp angle [alfKP] 0.000 not topping

Tool or reference profile of gear 2 :Reference profile 1.25 / 0.38 / 1.0 ISO 53.2 Profil AAddendum coefficient [haP*] 1.000Dedendum coefficient [hfP*] 1.250Tip radius factor [rhoaP*] 0.000Root radius factor [rhofP*] 0.380

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Tip form height coefficient [hFaP*] 0.000Protuberance height factor [hprP*] 0.000Protuberance angle [alfprP] 0.000Ramp angle [alfKP] 0.000 not topping

Summary of reference profile gears:Dedendum reference profile (module) [hfP*] 1.250 1.250Tooth root radius Refer. profile (module) [rofP*] 0.380 0.380Addendum Reference profile (module) [haP*] 1.000 1.000Protuberance height (module) [hprP*] 0.000 0.000Protuberance angle (°) [alfprP] 0.000 0.000Buckling root flank height (module) [hFaP*] 0.000 0.000Buckling root flank angle (°) [alfKP] 0.000 0.000Data for Grinding / Honing:Depth of immersion (module) [hgrind*] 1.066 1.066Radius at cutter head (module) [rgrind*] 0.100 0.100

Type of profile modification: none (only running-in)Tip relief (µm) [Ca] 2.00 2.00

Lubrication type oil bath lubricationType of oil Oil: ISO-VG 100Lubricant base Mineral-oil baseKinem. viscosity oil at 40 °C (mm²/s) [nu40] 100.00Kinem. viscosity oil at 100 °C (mm²/s) [nu100] 11.10FZG-Test A/8.3/90 (ISO 14635-1) [FZGtestA] 12Specific density at 15 °C (kg/dm³) [roOil] 0.901Oil temperature (°C) [TS] 70.000

------- GEAR 1 -------- GEAR 2 --Overall transmission ratio [itot] -5.000Gear ratio [u] 5.000Transverse module (mm) [mt] 2.300Pressure angle at pitch circle (°) [alft] 20.410Working transverse pressure angle (°) [alfwt] 25.115 [alfwt.e/i] 25.136 / 25.093Working pressure angle at normal section (°) [alfwn] 24.598Helix angle at operating pitch circle (°) [betaw] 12.408Base helix angle (°) [betab] 11.267Reference centre distance (mm) [ad] 96.611Sum of profile shift coefficients [Summexi] 1.6777Profile shift coefficient [x] 0.7116 0.9661Tooth thickness (Arc) (module) [sn*] 2.0888 2.2741

Tip alteration (mm) [k*mn] -0.386 -0.386Reference diameter (mm) [d] 32.204 161.019Base diameter (mm) [db] 30.182 150.910Tip diameter (mm) [da] 39.134 169.094 (mm) [da.e/i] 39.134 / 39.124 169.094 / 169.084Tip diameter allowances (mm) [Ada.e/i] 0.000 / -0.010 0.000 / -0.010Tip chamfer / tip rounding (mm) [hK] 0.000 0.000Tip form diameter (mm) [dFa] 39.134 169.094 (mm) [dFa.e/i] 39.134 / 39.124 169.094 / 169.084Operating pitch diameter (mm) [dw] 33.333 166.667 (mm) [dw.e/i] 33.339 / 33.328 166.696 / 166.638Root diameter (mm) [df] 29.781 159.741Generating Profile shift coefficient [xE.e/i] 0.6787 / 0.6604 0.9081 / 0.8776Manufactured root diameter with xE (mm) [df.e/i] 29.633 / 29.550 159.480 / 159.343Theoretical tip clearance (mm) [c] 0.562 0.562Effective tip clearance (mm) [c.e/i] 0.784 / 0.675 0.700 / 0.619Active root diameter (mm) [dNf] 31.384 162.391 (mm) [dNf.e/i] 31.002 / 31.362 160.609 / 162.361Root form diameter (mm) [dFf] 31.102 160.867 (mm) [dFf.e/i] 31.002 / 30.949 160.609 / 160.475Reserve (dNf-dFf)/2 (mm) [cF.e/i] 0.027 / 0.180 0.067 / 0.876Addendum (mm) [ha = mn * (haP*+x)] 3.465 4.038 (mm) [ha.e/i] 3.465 / 3.460 4.038 / 4.033Dedendum (mm) [hf = mn * (hfP*-x)] 1.211 0.639 (mm) [hf.e/i] 1.285 / 1.327 0.769 / 0.838Roll angle at dFa (°) [xsi_dFa.e/i] 47.289 / 47.259 28.962 / 28.954Roll angle to dNa (°) [xsi_dNa.e/i] 47.289 / 47.259 28.962 / 28.954Roll angle to dNf (°) [xsi_dNf.e/i] 13.450 / 16.177 20.870 / 22.740Roll angle at dFf (°) [xsi_dFf.e/i] 13.450 / 13.001 20.870 / 20.721Tooth height (mm) [H] 4.676 4.676Virtual gear no. of teeth [zn] 14.881 74.404Normal tooth thickness at tip cyl. (mm) [san] 1.127 1.799 (mm) [san.e/i] 1.070 / 1.026 1.704 / 1.647Normal spacewidth at root cylinder (mm) [efn] 0.000 1.489 (mm) [efn.e/i] 0.000 / 0.000 1.493 / 1.496

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Max. sliding velocity at tip (m/s) [vga] 0.676 0.348Specific sliding at the tip [zetaa] 0.518 0.436Specific sliding at the root [zetaf] -0.773 -1.077Sliding factor on tip [Kga] 0.387 0.200Sliding factor on root [Kgf] -0.200 -0.387Pitch on reference circle (mm) [pt] 7.226Base pitch (mm) [pbt] 6.773Transverse pitch on contact-path (mm) [pet] 6.773Lead height (mm) [pz] 475.972 2379.861Axial pitch (mm) [px] 33.998Length of path of contact (mm) [ga, e/i] 8.153 ( 8.194 / 8.093)Length T1-A, T2-A (mm) [T1A, T2A] 4.302( 4.261/ 4.354) 38.141(38.141/38.130)Length T1-B (mm) [T1B, T2B] 5.682( 5.682/ 5.675) 36.761(36.720/36.810)Length T1-C (mm) [T1C, T2C] 7.074( 7.067/ 7.081) 35.370(35.335/35.404)Length T1-D (mm) [T1D, T2D] 11.075(11.034/11.127) 31.369(31.369/31.357)Length T1-E (mm) [T1E, T2E] 12.455(12.455/12.447) 29.988(29.947/30.037)Length T1-T2 (mm) [T1T2] 42.443 (42.402 / 42.485)Diameter of single contact point B (mm) [d-B] 32.251(32.251/32.245) 167.867(167.831/167.910)Diameter of single contact point D (mm) [d-D] 37.437(37.389/37.499) 163.431(163.431/163.423)Addendum contact ratio [eps] 0.795( 0.796/ 0.792) 0.409( 0.414/ 0.403)Minimal length of contact line (mm) [Lmin] 42.240

Transverse contact ratio [eps_a] 1.204Transverse contact ratio with allowances [eps_a.e/m/i] 1.210 / 1.202 / 1.195Overlap ratio [eps_b] 1.015Total contact ratio [eps_g] 2.218Total contact ratio with allowances [eps_g.e/m/i] 2.225 / 2.217 / 2.210

2. FACTORS OF GENERAL INFLUENCE

------- GEAR 1 -------- GEAR 2 --Nominal circum. force at pitch circle (N) [Ft] 6210.5Axial force (N) [Fa] 1320.1Radial force (N) [Fr] 2310.9Normal force (N) [Fnorm] 6756.7Tangent.load at p.c.d.per mm (N/mm) (N/mm) [w] 180.03Only as information: Forces at operating pitch circle:Nominal circumferential force (N) [Ftw] 6000.0Axial force (N) [Faw] 1320.1Radial force (N) [Frw] 2812.5Circumferential speed pitch d.. (m/sec) [v] 1.69

Running-in value (µm) [yp] 0.6Running-in value (µm) [yf] 0.7Correction coefficient [CM] 0.800Gear body coefficient [CR] 1.000Reference profile coefficient [CBS] 0.975Material coefficient [E/Est] 1.000Singular tooth stiffness (N/mm/µm) [c'] 15.130Meshing stiffness (N/mm/µm) [cgalf] 17.442Meshing stiffness (N/mm/µm) [cgbet] 14.826Reduced mass (kg/mm) [mRed] 0.00454Resonance speed (min-1) [nE1] 42281Nominal speed (-) [N] 0.024 Subcritical rangeRunning-in value (µm) [ya] 0.7Bearing distance l of pinion shaft (mm) [l] 69.000Distance s of pinion shaft (mm) [s] 6.900Outside diameter of pinion shaft (mm) [dsh] 29.280load according ISO 6336/1 Diagram 16 [-] 4 0:a), 1:b), 2:c), 3:d), 4:e)coefficient K' following ISO 6336/1 Diagram 13 [K'] -1.00Without support effectTooth trace deviation (active) (µm) [Fby] 3.83 from deformation of shaft (µm) [fsh*B1] 1.97 Tooth without tooth trace modification Position of Contact pattern: favorable from production tolerances (µm) [fma*B2] 12.04 Tooth trace deviation, theoretical (µm) [Fbx] 4.50 Running-in value (µm) [yb] 0.7

Dynamic factor [KV] 1.012

Width factor - flank [KHb] 1.125 - Tooth root [KFb] 1.107 - Scuffing [KBb] 1.125

Transverse coefficient - flank [KHa] 1.151

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- Tooth root [KFa] 1.151 - Scuffing [KBa] 1.151

Helix angle coefficient scuffing [Kbg] 1.156

Number of load changes (in mio.) [NL] 300.000 60.000

3. TOOTH ROOT STRENGTH

------- GEAR 1 -------- GEAR 2 --Calculation of Tooth form coefficients according method: B(Calculate tooth form factor YF with manufacturing addendum mod. xE.e)Tooth form factor [YF] 1.37 1.47Stress correction factor [YS] 2.17 2.20Working angle (°) [alfen] 31.30 24.53Bending lever arm (mm) [hF] 2.85 3.17Tooth thickness at root (mm) [sFn] 5.06 5.30Tooth root radius (mm) [roF] 0.89 0.86(hF* = 1.267/1.408 sFn* = 2.248/2.357 roF* = 0.395/0.380 dsFn = 30.26/160.29 alfsFn = 30.00/30.00)

Contact ratio factor [Yeps] 1.000Helix angle factor [Ybet] 0.900Deep tooth factor [YDT] 1.000Gear rim factor [YB] 1.000 1.000Effective facewidth (mm) [beff] 34.50 34.50Nominal shear stress at tooth root (N/mm²) [sigF0] 214.02 232.86Tooth root stress (N/mm²) [sigF] 344.66 375.01

Permissible bending stress at root of Test-gearSupport factor [YdrelT] 1.003 1.005Surface factor [YRrelT] 0.957 0.957Size coefficient (Tooth root) [YX] 1.000 1.000Finite life factor [YNT] 0.912 0.942 [YdrelT*YRrelT*YX*YNT] 0.875 0.906Alternating bending coefficient [YM] 1.000 1.000Stress correction factor [Yst] 2.00Limit strength tooth root (N/mm²) [sigFG] 752.68 779.04Permissible tooth root stress (N/mm²) [sigFP=sigFG/SFmin] 537.63 556.46Required safety [SFmin] 1.40 1.40Safety for Tooth root stress [SF=sigFG/sigF] 2.18 2.08Transmittable power (kW) [kWRating] 16.33 15.54

4. SAFETY AGAINST PITTING (TOOTH FLANK)

------- GEAR 1 -------- GEAR 2 --Zone factor [ZH] 2.183Elasticity coefficient (N^.5/mm) [ZE] 189.812Contact ratio factor [Zeps] 0.911Helix angle factor [Zbet] 0.989Effective facewidth (mm) [beff] 34.50Nominal flank pressure (N/mm²) [sigH0] 967.24Surface pressure at operating pitch circle (N/mm²) [sigHw] 1237.44Single tooth contact factor [ZB,ZD] 1.00 1.00Flank pressure (N/mm²) [sigH] 1237.44 1237.44

Lubrication factor [ZL] 0.966 0.966Speed factor [ZV] 0.961 0.961Roughness factor [ZR] 0.950 0.950Material mating factor [ZW] 1.000 1.000Finite life factor [ZNT] 0.947 0.994 [ZL*ZV*ZR*ZNT] 0.835 0.877Small amount of pitting permissible (0=no, 1=yes) 0 0Size coefficient (flank) [ZX] 1.000 1.000Limit strength pitting (N/mm²) [sigHG] 1251.97 1315.33Permissible surface pressure (N/mm²) [sigHP=sigHG/SHmin] 1251.97 1315.33

Safety for surface pressure at operating pitch circle [SHw] 1.01 1.06Required safety [SHmin] 1.00 1.00Transmittable power (kW) [kWRating] 10.72 11.83Safety for stress at single tooth contact [SHBD=sigHG/sigH] 1.01 1.06(Safety regarding nominal torque) [(SHBD)^2] 1.02 1.13

4b. MICROPITTING ACCORDING TO ISO/TR 15144-1:2010

Calculation did not run. (Lubricant: Load stage micropitting test is unknown

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5. STRENGTH AGAINST SCUFFING

Calculation method according to ISO/TR 13989

Lubrication coefficient (for lubrication type) [XS] 1.000Lubricant factor [XL] 1.000Multiple meshing factor [Xmp] 1.0Relative structure coefficient (Scuffing) [XWrelT] 1.000Thermal contact factor (N/mm/s^.5/K) [BM] 13.795 13.795Relevant tip relief (µm) [Ca] 2.00 2.00Optimal tip relief (µm) [Ceff] 12.90Effective facewidth (mm) [beff] 34.497Applicable circumferential force/facewidth (N/mm) [wBt] 294.660 (Kbg = 1.156, wBt*Kbg = 340.600)Flash factor (°K*N^-.75*s^.5*m^-.5*mm) [XM] 1.581Pressure angle factor (eps1: 1.047, eps2: 0.795) [Xalfbet] 0.409

Flash temperature-criteriaTooth mass temperature (°C) [theMi] 77.59 theM = theoil + XS*0.47*Xmp*theflm [theflm] 16.15Scuffing temperature (°C) [theS] 356.78Coordinate gamma (point of highest temp.) [Gamma] 0.749 [Gamma.A]= -0.392 [Gamma.E]= 0.761Highest contact temp. (°C) [theB] 124.09Approach factor [XJ] 1.000Load sharing factor [XGam] 1.219Dynamic viscosity (mPa*s) [etaM] 23.34Coefficient of friction [mym] 0.080Required safety [SBmin] 2.000Safety factor for scuffing (flash-temp) [SB] 5.302

Integral temperature-criteriaTooth mass temperature (°C) [theM-C] 80.15 theM-C = theoil + XS*0.70*theflaint [theflaint] 14.50Integral scuffing temperature (°C) [theSint] 363.29Running-in factor (well run in) [XE] 1.000Contact ratio factor [Xeps] 0.324Dynamic viscosity (mPa*s) [etaOil] 23.34Averaged coefficient of friction [mym] 0.099Geometry factor [XBE] 0.307Meshing factor [XQ] 1.000Tip relief factor [XCa] 1.150Integral tooth flank temperature (°C) [theint] 101.91Required safety [SSmin] 1.800Safety factor for scuffing (intg.-temp.) [SSint] 3.565Safety referring to transferred torque [SSL] 9.191

6. MEASUREMENTS FOR TOOTH THICKNESS

------- GEAR 1 -------- GEAR 2 --Tooth thickness deviation DIN3967 cd25 DIN3967 cd25Tooth thickness allowance (normal section) (mm) [As.e/i] -0.054 / -0.084 -0.095 / -0.145

Number of teeth spanned [k] 3.000 10.000Base tangent length (no backlash) (mm) [Wk] 18.171 66.938Actual base tangent length ('span') (mm) [Wk.e/i] 18.120 / 18.092 66.849 / 66.802Diameter of contact point (mm) [dMWk.m] 35.018 164.526

Theoretical diameter of ball/pin (mm) [DM] 5.301 4.155Eff. Diameter of ball/pin (mm) [DMeff] 5.500 4.250Theor. dim. centre to ball (mm) [MrK] 22.105 85.773Actual dimension centre to ball (mm) [MrK.e/i] 22.064 / 22.041 85.667 / 85.611Diameter of contact point (mm) [dMMr.m] 35.493 165.285Diametral measurement over two balls without clearance (mm) [MdK] 44.211 171.545Actual dimension over balls (mm) [MdK.e/i] 44.128 / 44.082 171.334 / 171.222Theor. dimension over two pins (mm) [MdR] 44.211 171.545Actual dimension over rolls (mm) [MdR.e/i] 44.128 / 44.082 171.334 / 171.222

Chordal tooth thickness (no backlash) (mm) ['sn] 4.685 5.116Actual chordal tooth thickness (mm) ['sn.e/i] 4.631 / 4.601 5.021 / 4.971Reference chordal height from da.m (mm) [ha] 3.627 4.074Tooth thickness (Arc) (mm) [sn] 4.700 5.117 (mm) [sn.e/i] 4.646 / 4.616 5.022 / 4.972

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Backlash free center distance (mm) [aControl.e/i] 99.831 / 99.740Backlash free center distance, allowances (mm) [jta] -0.169 / -0.260Centre distance allowances (mm) [Aa.e/i] 0.018 / -0.018Circumferential backlash from Aa (mm) [jt_Aa.e/i] 0.016 / -0.016Radial clearance (mm) [jr] 0.278 / 0.151Circumferential backlash (transverse section) (mm) [jt] 0.259 / 0.141Torsional angle using fixed values gear 1 (°) 0.1841 /0.1005Normal backlash (mm) [jn] 0.238 / 0.130

7. GEAR ACCURACY

------- GEAR 1 -------- GEAR 2 --According ISO 1328:Accuracy grade [Q-ISO1328] 6 6Single pitch deviation (µm) [fpt] 7.50 9.00Base circle pitch deviation (µm) [fpb] 7.00 8.50Cumulative circular pitch deviation over k/8 pitches (µm) [Fpk/8] 7.50 19.00Profile form deviation (µm) [ffa] 8.00 9.50Profile slope deviation (µm) [fHa] 6.50 8.00Total profile deviation (µm) [Fa] 10.00 13.00Helix form deviation (µm) [ffb] 8.00 9.00Helix slope deviation (µm) [fHb] 8.00 9.00Total helix deviation (µm) [Fb] 11.00 13.00Total cumulative pitch deviation (µm) [Fp] 21.00 35.00Concentricity deviation (µm) [Fr] 17.00 28.00Total radial composite deviation (µm) [Fi"] 26.00 37.00Radial tooth-to-tooth composite deviation (µm) [fi"] 9.50 9.50Total tangential composite deviation (µm) [Fi'] 34.00 51.00Tangential tooth-to-tooth composite deviation (µm) [fi'] 13.00 16.00

Tolerance for alignment of axes (recommendation acc. ISO/TR 10064, Quality 6)Maximum value for deviation error of axis (µm) [fSigbet] 12.97Maximum value for inclination error of axes (µm) [fSigdel] 25.94

8. ADDITIONAL DATA

Maximal possible centre distance (eps_a=1.0) [aMAX] 100.594Torsional stiffness (MNm/rad) [cr] 0.1 3.4Mean coeff. of friction (acc. Niemann) [mum] 0.105Wear sliding coef. by Niemann [zetw] 0.590Power loss from gear load (kW) [PVZ] 0.180(Meshing efficiency (%) [etaz] 98.284)Weight - calculated with da (kg) [Mass] 0.325 6.066Moment of inertia (System referenced to wheel 1): calculation without consideration of the exact tooth shapesingle gears ((da+df)/2...di) (kgm²) [TraeghMom] 3.696e-005 0.0193System ((da+df)/2...di) (kgm²) [TraeghMom] 0.000809

9. DETERMINATION OF TOOTHFORM

Data for the tooth form calculation :Data not available.

REMARKS:- Specifications with [.e/i] imply: Maximum [e] and Minimal value [i] with consideration of all tolerances Specifications with [.m] imply: Mean value within tolerance- For the backlash tolerance, the center distance tolerances and the tooth thicknessdeviation are taken into account. Shown is the maximal and the minimal backlash corresponding the largest resp. the smallest allowances The calculation is done for the Operating pitch circle..- Details of calculation method: cg according to method B KV according to method B KHb, KFb according method C fma following equation (64), fsh following (57/58), Fbx following (52/53/57) KHa, KFa according to method B End report lines: 488

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Important hint: At least one warning has occurred during the calculation:1-> Calculation of scuffing:The entered gear pair data is outside the boundary of the calculation method!

The application of ISO/TR 13989-2 has following limitations:wBt(= 600.2061 N/mm) > 150 N/mm1.0 <= v(= 0.6536 m/s) <= 50 m/s




------- GEAR 1 -------- GEAR 2 --



(Geometry calculation according ISO 21771) ------- GEAR 1 -------- GEAR 2 --Center distance (mm) [a] 140.000Centre distance tolerance ISO 286 Measure js7Normal module (mm) [mn] 3.7500Pressure angle at normal section (°) [alfn] 20.0000Helix angle at reference circle (°) [beta] 16.0000Number of teeth [z] 16 54Facewidth (mm) [b] 35.88 35.88Hand of gear right leftAccuracy grade [Q-ISO1328] 6 6Inner diameter (mm) [di] 0.00 0.00Inner diameter of gear rim (mm) [dbi] 0.00 0.00




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Tip alteration (mm) [k*mn] -0.283 -0.283Reference diameter (mm) [d] 62.418 210.661Base diameter (mm) [db] 58.374 197.011Tip diameter (mm) [da] 73.238 221.197 (mm) [da.e/i] 73.238 / 73.228 221.197 / 221.187Tip diameter allowances (mm) [Ada.e/i] 0.000 / -0.010 0.000 / -0.010Tip chamfer / tip rounding (mm) [hK] 0.000 0.000Tip form diameter (mm) [dFa] 73.238 221.197 (mm) [dFa.e/i] 73.238 / 73.228 221.197 / 221.187Operating pitch diameter (mm) [dw] 64.000 216.000 (mm) [dw.e/i] 64.009 / 63.991 216.031 / 215.969Root diameter (mm) [df] 56.929 204.888Generating Profile shift coefficient [xE.e/i] 0.4925 / 0.4778 0.4455 / 0.4271Manufactured root diameter with xE (mm) [df.e/i] 56.736 / 56.626 204.627 / 204.489Theoretical tip clearance (mm) [c] 0.937 0.937Effective tip clearance (mm) [c.e/i] 1.162 / 1.048 1.113 / 1.013Active root diameter (mm) [dNf] 60.082 209.268 (mm) [dNf.e/i] 60.111 / 60.059 206.795 / 209.236Root form diameter (mm) [dFf] 59.574 207.020 (mm) [dFf.e/i] 59.467 / 59.409 206.795 / 206.678Reserve (dNf-dFf)/2 (mm) [cF.e/i] 0.351 / 0.296 0.059 / 1.220Addendum (mm) [ha = mn * (haP*+x)] 5.410 5.268 (mm) [ha.e/i] 5.410 / 5.405 5.268 / 5.263

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Dedendum (mm) [hf = mn * (hfP*-x)] 2.745 2.886 (mm) [hf.e/i] 2.841 / 2.896 3.017 / 3.086Roll angle at dFa (°) [xsi_dFa.e/i] 43.413 / 43.397 29.249 / 29.242Roll angle to dNa (°) [xsi_dNa.e/i] 43.413 / 43.397 29.249 / 29.242Roll angle to dNf (°) [xsi_dNf.e/i] 14.082 / 13.869 18.280 / 20.495Roll angle at dFf (°) [xsi_dFf.e/i] 11.144 / 10.839 18.280 / 18.168Tooth height (mm) [H] 8.154 8.154Virtual gear no. of teeth [zn] 17.842 60.216Normal tooth thickness at tip cyl. (mm) [san] 2.023 2.914 (mm) [san.e/i] 1.949 / 1.895 2.820 / 2.763Normal spacewidth at root cylinder (mm) [efn] 0.000 2.632 (mm) [efn.e/i] 0.000 / 0.000 2.651 / 2.661Max. sliding velocity at tip (m/s) [vga] 0.244 0.163Specific sliding at the tip [zetaa] 0.527 0.523Specific sliding at the root [zetaf] -1.095 -1.115Sliding factor on tip [Kga] 0.364 0.243Sliding factor on root [Kgf] -0.243 -0.364Pitch on reference circle (mm) [pt] 12.256Base pitch (mm) [pbt] 11.462Transverse pitch on contact-path (mm) [pet] 11.462Lead height (mm) [pz] 683.853 2308.005Axial pitch (mm) [px] 42.741Length of path of contact (mm) [ga, e/i] 15.001 (15.050 / 14.933)Length T1-A, T2-A (mm) [T1A, T2A] 7.113( 7.065/ 7.173) 50.286(50.286/50.275)Length T1-B (mm) [T1B, T2B] 10.653(10.653/10.645) 46.746(46.697/46.803)Length T1-C (mm) [T1C, T2C] 13.120(13.109/13.131) 44.279(44.242/44.317)Length T1-D (mm) [T1D, T2D] 18.575(18.526/18.635) 38.824(38.824/38.813)Length T1-E (mm) [T1E, T2E] 22.115(22.115/22.107) 35.284(35.235/35.341)Length T1-T2 (mm) [T1T2] 57.399 (57.350 / 57.448)Diameter of single contact point B (mm) [d-B] 62.141(62.141/62.135) 218.069(218.027/218.118)Diameter of single contact point D (mm) [d-D] 69.193(69.140/69.257) 211.761(211.761/211.753)Addendum contact ratio [eps] 0.785( 0.786/ 0.783) 0.524( 0.527/ 0.520)Minimal length of contact line (mm) [Lmin] 43.717




Running-in value (µm) [yp] 0.7Running-in value (µm) [yf] 0.9Correction coefficient [CM] 0.800Gear body coefficient [CR] 1.000Reference profile coefficient [CBS] 0.975Material coefficient [E/Est] 1.000Singular tooth stiffness (N/mm/µm) [c'] 14.271Meshing stiffness (N/mm/µm) [cgalf] 17.577Meshing stiffness (N/mm/µm) [cgbet] 14.940Reduced mass (kg/mm) [mRed] 0.01473Resonance speed (min-1) [nE1] 20617Nominal speed (-) [N] 0.010 Subcritical rangeRunning-in value (µm) [ya] 0.9Bearing distance l of pinion shaft (mm) [l] 71.800Distance s of pinion shaft (mm) [s] 7.180Outside diameter of pinion shaft (mm) [dsh] 35.900load according ISO 6336/1 Diagram 16 [-] 4 0:a), 1:b), 2:c), 3:d), 4:e)coefficient K' following ISO 6336/1 Diagram 13 [K'] -1.00Without support effectTooth trace deviation (active) (µm) [Fby] 3.83 from deformation of shaft (µm) [fsh*B1] 3.37 Tooth without tooth trace modification

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Position of Contact pattern: favorable from production tolerances (µm) [fma*B2] 12.38 Tooth trace deviation, theoretical (µm) [Fbx] 4.50 Running-in value (µm) [yb] 0.7



Transverse coefficient - flank [KHa] 1.040 - Tooth root [KFa] 1.040 - Scuffing [KBa] 1.040




------- GEAR 1 -------- GEAR 2 --Calculation of Tooth form coefficients according method: B(Calculate tooth shape coefficient YF with addendum mod. x)Tooth form factor [YF] 1.29 1.38Stress correction factor [YS] 2.19 2.20Working angle (°) [alfen] 26.41 23.01Bending lever arm (mm) [hF] 4.09 4.66Tooth thickness at root (mm) [sFn] 8.23 8.63Tooth root radius (mm) [roF] 1.58 1.53(hF* = 1.091/1.242 sFn* = 2.195/2.300 roF* = 0.422/0.408 dsFn = 58.11/206.26 alfsFn = 30.00/30.00)






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Theoretical diameter of ball/pin (mm) [DM] 7.683 6.618Eff. Diameter of ball/pin (mm) [DMeff] 8.000 7.000Theor. dim. centre to ball (mm) [MrK] 39.355 112.393Actual dimension centre to ball (mm) [MrK.e/i] 39.294 / 39.260 112.284 / 112.227Diameter of contact point (mm) [dMMr.m] 66.522 214.732Diametral measurement over two balls without clearance (mm)

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[MdK] 78.710 224.785Actual dimension over balls (mm) [MdK.e/i] 78.589 / 78.520 224.568 / 224.453Theor. dimension over two pins (mm) [MdR] 78.710 224.785Actual dimension over rolls (mm) [MdR.e/i] 78.589 / 78.520 224.568 / 224.453


Backlash free center distance (mm) [aControl.e/i] 139.804 /139.696Backlash free center distance, allowances (mm) [jta] -0.196 / -0.304Centre distance allowances (mm) [Aa.e/i] 0.020 / -0.020Circumferential backlash from Aa (mm) [jt_Aa.e/i] 0.018 / -0.018Radial clearance (mm) [jr] 0.324 / 0.176Circumferential backlash (transverse section) (mm) [jt] 0.290 / 0.158Torsional angle using fixed values gear 1 (°) 0.1577 /0.0860Normal backlash (mm) [jn] 0.262 / 0.143

7. GEAR ACCURACY



8. ADDITIONAL DATA

Torsional stiffness (MNm/rad) [cr] 0.5 6.1Mean coeff. of friction (acc. Niemann) [mum] 0.106Wear sliding coef. by Niemann [zetw] 0.688Power loss from gear load (kW) [PVZ] 0.167(Meshing efficiency (%) [etaz] 98.369)Weight - calculated with da (kg) [Mass] 1.184 10.797Moment of inertia (System referenced to wheel 1): calculation without consideration of the exact tooth shapesingle gears ((da+df)/2...di) (kgm²) [TraeghMom] 0.0004911 0.05664System ((da+df)/2...di) (kgm²) [TraeghMom] 0.005464



REMARKS:- Specifications with [.e/i] imply: Maximum [e] and Minimal value [i] with consideration of all tolerances Specifications with [.m] imply: Mean value within tolerance- For the backlash tolerance, the center distance tolerances and the tooth thicknessdeviation are taken into account. Shown is the maximal and the minimal backlash corresponding the largest resp. the smallest allowances The calculation is done for the Operating pitch circle..- Details of calculation method:

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cg according to method B KV according to method B KHb, KFb according method C fma following equation (64), fsh following (57/58), Fbx following (52/53/57) KHa, KFa according to method B End report lines: 486

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Important hint: At least one warning has occurred during the calculation:1-> Calculation of scuffing:The entered gear pair data is outside the boundary of the calculation method!

The application of ISO/TR 13989-2 has following limitations:wBt(= 958.2230 N/mm) > 150 N/mm1.0 <= v(= 0.2582 m/s) <= 50 m/s




------- GEAR 1 -------- GEAR 2 --



(Geometry calculation according ISO 21771) ------- GEAR 1 -------- GEAR 2 --Center distance (mm) [a] 170.000Centre distance tolerance ISO 286 Measure js7Normal module (mm) [mn] 4.7500Pressure angle at normal section (°) [alfn] 20.0000Helix angle at reference circle (°) [beta] 14.0000Number of teeth [z] 17 50Facewidth (mm) [b] 53.41 53.41Hand of gear left rightAccuracy grade [Q-ISO1328] 6 6Inner diameter (mm) [di] 0.00 0.00Inner diameter of gear rim (mm) [dbi] 0.00 0.00




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Tip alteration (mm) [k*mn] -0.700 -0.700Reference diameter (mm) [d] 83.222 244.771Base diameter (mm) [db] 77.920 229.177Tip diameter (mm) [da] 97.492 260.109 (mm) [da.e/i] 97.492 / 97.482 260.109 / 260.099Tip diameter allowances (mm) [Ada.e/i] 0.000 / -0.010 0.000 / -0.010Tip chamfer / tip rounding (mm) [hK] 0.000 0.000Tip form diameter (mm) [dFa] 97.492 260.109 (mm) [dFa.e/i] 97.492 / 97.482 260.109 / 260.099Operating pitch diameter (mm) [dw] 86.269 253.731 (mm) [dw.e/i] 86.279 / 86.259 253.761 / 253.701Root diameter (mm) [df] 77.517 240.134Generating Profile shift coefficient [xE.e/i] 0.6292 / 0.6176 0.7344 / 0.7200Manufactured root diameter with xE (mm) [df.e/i] 77.324 / 77.214 239.873 / 239.736Theoretical tip clearance (mm) [c] 1.187 1.187Effective tip clearance (mm) [c.e/i] 1.411 / 1.298 1.363 / 1.263Active root diameter (mm) [dNf] 81.214 245.250 (mm) [dNf.e/i] 80.251 / 81.187 242.344 / 245.217Root form diameter (mm) [dFf] 80.384 242.588 (mm) [dFf.e/i] 80.251 / 80.177 242.344 / 242.217Reserve (dNf-dFf)/2 (mm) [cF.e/i] 0.037 / 0.468 0.064 / 1.436Addendum (mm) [ha = mn * (haP*+x)] 7.135 7.669 (mm) [ha.e/i] 7.135 / 7.130 7.669 / 7.664

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Dedendum (mm) [hf = mn * (hfP*-x)] 2.853 2.318 (mm) [hf.e/i] 2.949 / 3.004 2.449 / 2.518Roll angle at dFa (°) [xsi_dFa.e/i] 43.084 / 43.071 30.756 / 30.751Roll angle to dNa (°) [xsi_dNa.e/i] 43.084 / 43.071 30.756 / 30.751Roll angle to dNf (°) [xsi_dNf.e/i] 14.118 / 16.765 19.699 / 21.808Roll angle at dFf (°) [xsi_dFf.e/i] 14.118 / 13.888 19.699 / 19.600Tooth height (mm) [H] 9.987 9.988Virtual gear no. of teeth [zn] 18.475 54.339Normal tooth thickness at tip cyl. (mm) [san] 2.737 3.672 (mm) [san.e/i] 2.663 / 2.610 3.577 / 3.519Normal spacewidth at root cylinder (mm) [efn] 0.000 3.203 (mm) [efn.e/i] 0.000 / 0.000 3.214 / 3.220Max. sliding velocity at tip (m/s) [vga] 0.090 0.059Specific sliding at the tip [zetaa] 0.493 0.453Specific sliding at the root [zetaf] -0.827 -0.973Sliding factor on tip [Kga] 0.335 0.219Sliding factor on root [Kgf] -0.219 -0.335Pitch on reference circle (mm) [pt] 15.379Base pitch (mm) [pbt] 14.400Transverse pitch on contact-path (mm) [pet] 14.400Lead height (mm) [pz] 1048.618 3084.170Axial pitch (mm) [px] 61.683Length of path of contact (mm) [ga, e/i] 17.850 (17.897 / 17.784)Length T1-A, T2-A (mm) [T1A, T2A] 11.446(11.400/11.503) 61.511(61.511/61.500)Length T1-B (mm) [T1B, T2B] 14.896(14.896/14.888) 58.061(58.014/58.116)Length T1-C (mm) [T1C, T2C] 18.511(18.500/18.523) 54.446(54.411/54.480)Length T1-D (mm) [T1D, T2D] 25.846(25.799/25.903) 47.111(47.111/47.101)Length T1-E (mm) [T1E, T2E] 29.296(29.296/29.288) 43.661(43.614/43.716)Length T1-T2 (mm) [T1T2] 72.957 (72.910 / 73.004)Diameter of single contact point B (mm) [d-B] 83.422(83.422/83.416) 256.917(256.875/256.967)Diameter of single contact point D (mm) [d-D] 93.507(93.456/93.571) 247.791(247.791/247.783)Addendum contact ratio [eps] 0.749( 0.750/ 0.748) 0.491( 0.493/ 0.488)Minimal length of contact line (mm) [Lmin] 61.525




Running-in value (µm) [yp] 0.7Running-in value (µm) [yf] 0.9Correction coefficient [CM] 0.800Gear body coefficient [CR] 1.000Reference profile coefficient [CBS] 0.975Material coefficient [E/Est] 1.000Singular tooth stiffness (N/mm/µm) [c'] 14.958Meshing stiffness (N/mm/µm) [cgalf] 17.645Meshing stiffness (N/mm/µm) [cgbet] 14.999Reduced mass (kg/mm) [mRed] 0.02629Resonance speed (min-1) [nE1] 14554Nominal speed (-) [N] 0.004 Subcritical rangeRunning-in value (µm) [ya] 0.9Bearing distance l of pinion shaft (mm) [l] 106.800Distance s of pinion shaft (mm) [s] 10.680Outside diameter of pinion shaft (mm) [dsh] 53.400load according ISO 6336/1 Diagram 16 [-] 4 0:a), 1:b), 2:c), 3:d), 4:e)coefficient K' following ISO 6336/1 Diagram 13 [K'] -1.00Without support effectTooth trace deviation (active) (µm) [Fby] 4.25 from deformation of shaft (µm) [fsh*B1] 4.94 Tooth without tooth trace modification

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Position of Contact pattern: favorable from production tolerances (µm) [fma*B2] 14.14 Tooth trace deviation, theoretical (µm) [Fbx] 5.00 Running-in value (µm) [yb] 0.8



Transverse coefficient - flank [KHa] 1.000 - Tooth root [KFa] 1.000 - Scuffing [KBa] 1.000




------- GEAR 1 -------- GEAR 2 --Calculation of Tooth form coefficients according method: B(Calculate tooth shape coefficient YF with addendum mod. x)Tooth form factor [YF] 1.29 1.35Stress correction factor [YS] 2.24 2.27Working angle (°) [alfen] 28.56 24.70Bending lever arm (mm) [hF] 5.56 6.04Tooth thickness at root (mm) [sFn] 10.73 11.11Tooth root radius (mm) [roF] 1.89 1.82(hF* = 1.171/1.272 sFn* = 2.259/2.340 roF* = 0.398/0.383 dsFn = 78.96/241.80 alfsFn = 30.00/30.00)






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Theoretical diameter of ball/pin (mm) [DM] 10.182 8.784Eff. Diameter of ball/pin (mm) [DMeff] 10.500 9.000Theor. dim. centre to ball (mm) [MrK] 52.858 132.587Actual dimension centre to ball (mm) [MrK.e/i] 52.799 / 52.766 132.484 / 132.430Diameter of contact point (mm) [dMMr.m] 89.600 252.136Diametral measurement over two balls without clearance (mm)

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[MdK] 105.310 265.174Actual dimension over balls (mm) [MdK.e/i] 105.193 / 105.126 264.969 / 264.860Theor. dimension over two pins (mm) [MdR] 105.716 265.174Actual dimension over rolls (mm) [MdR.e/i] 105.599 / 105.531 264.969 / 264.860Dimensions over 3 pins without clearance (mm) [Md3R] 105.716 0.000Actual dimensions over 3 rolls (mm) [Md3R.e/i] 105.599 / 105.531 0.000 / 0.000


Backlash free center distance (mm) [aControl.e/i] 169.814 /169.712Backlash free center distance, allowances (mm) [jta] -0.186 / -0.288Centre distance allowances (mm) [Aa.e/i] 0.020 / -0.020Circumferential backlash from Aa (mm) [jt_Aa.e/i] 0.019 / -0.019Radial clearance (mm) [jr] 0.308 / 0.166Circumferential backlash (transverse section) (mm) [jt] 0.291 / 0.157Torsional angle using fixed values gear 1 (°) 0.1364 /0.0736Normal backlash (mm) [jn] 0.266 / 0.143

7. GEAR ACCURACY



8. ADDITIONAL DATA

Torsional stiffness (MNm/rad) [cr] 1.4 12.4Mean coeff. of friction (acc. Niemann) [mum] 0.102Wear sliding coef. by Niemann [zetw] 0.592Power loss from gear load (kW) [PVZ] 0.147(Meshing efficiency (%) [etaz] 98.539)Weight - calculated with da (kg) [Mass] 3.122 22.222Moment of inertia (System referenced to wheel 1): calculation without consideration of the exact tooth shapesingle gears ((da+df)/2...di) (kgm²) [TraeghMom] 0.00239 0.16026System ((da+df)/2...di) (kgm²) [TraeghMom] 0.02092



REMARKS:- Specifications with [.e/i] imply: Maximum [e] and Minimal value [i] with consideration of all tolerances Specifications with [.m] imply: Mean value within tolerance- For the backlash tolerance, the center distance tolerances and the tooth thicknessdeviation are taken into account. Shown is the maximal and the minimal backlash corresponding

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the largest resp. the smallest allowances The calculation is done for the Operating pitch circle..- Details of calculation method: cg according to method B KV according to method B KHb, KFb according method C fma following equation (64), fsh following (57/58), Fbx following (52/53/57) KHa, KFa according to method B End report lines: 489

o. - kadkraft.com · pdf file_o. ... are no longer defined in din743 . the values correspond...

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