KISSsoft Release 2019 A

San Engineering and Locomotive Co. Ltd, Bangalore

File
Name : 14-54 8m-Inetermediate-3
Changed by: vp1354 on: 12.02.2024 at: 10:53:41

Calculation of a helical-toothed cylindrical gear pair

Drawing or article number:

Gear 1: 0.000.0
Gear 2: 0.000.0

Calculation method DIN 3990:1987 Method B

------- Gear 1 -------- Gear 2 --

Power (kW) [P] 16.500

Speed (1/min) [n] 18.0 4.7
Torque (Nm) [T] 8753.5 33763.6
Application factor [KA] 1.10
Required service life (h) [H] 20000.00
Gear driving (+) / driven (-) + -
Working flank gear 1: Right flank
Gear 1 direction of rotation: Clockwise

Tooth geometry and material

Geometry calculation according to ISO 21771:2007, DIN ISO 21771

------- Gear 1 -------- Gear 2 --
Center distance (mm) [a] 280.000
Center distance tolerance ISO 286:2010 Measure js7
Normal module (mm) [mn] 8.0000
Normal pressure angle (°) [αn] 20.0000
Helix angle at reference circle (°) [β] 10.0000
Number of teeth [z] 14 54
Facewidth (mm) [b] 113.00 110.00
Hand of gear right left
Accuracy grade [Q-DIN 3961:1978] 7 7
Inner diameter (mm) [di] 0.00 0.00
Inner diameter of gear rim (mm) [dbi] 0.00 0.00

Material
Gear 1 20 MnCr 5, Case-carburized steel, case-hardened
ISO 6336-5 Figure 9/10 (MQ), Core hardness >=25HRC Jominy
J=12mm<HRC28

Gear 2 20 MnCr 5, Case-carburized steel, case-hardened

ISO 6336-5 Figure 9/10 (MQ), Core hardness >=25HRC Jominy
J=12mm<HRC28

------- Gear 1 -------- Gear 2 --

Surface hardness HRC 60 HRC 60
Fatigue strength. tooth root stress (N/mm²) [σFlim] 430.00 430.00
Fatigue strength for Hertzian pressure (N/mm²) [σHlim] 1500.00 1500.00
Tensile strength (N/mm²) [σB] 1200.00 1200.00
Yield point (N/mm²) [σS] 850.00 850.00
Young's modulus (N/mm²) [E] 206000 206000

1/10
Poisson's ratio [ν] 0.300 0.300
Roughness average value DS, flank (µm) [RAH] 0.60 0.60
Roughness average value DS, root (µm) [RAF] 3.00 3.00
Mean roughness height, Rz, flank (µm) [RZH] 4.80 4.80
Mean roughness height, Rz, root (µm) [RZF] 20.00 20.00

Gear reference profile

1 :
Reference profile 1.25 / 0.30 / 1.0 DIN 867:1986
Dedendum coefficient [hfP*] 1.250
Root radius factor [ρfP*] 0.300 (ρfPmax*= 0.472 )
Addendum coefficient [haP*] 1.000
Tip radius factor [ρaP*] 0.000
Protuberance height coefficient [hprP*] 0.000
Protuberance angle [αprP] 0.000
Tip form height coefficient [hFaP*] 0.000
Ramp angle [αKP] 0.000
not topping

Gear reference profile

2 :
Reference profile 1.25 / 0.30 / 1.0 DIN 867:1986
Dedendum coefficient [hfP*] 1.250
Root radius factor [ρfP*] 0.300 (ρfPmax*= 0.472 )
Addendum coefficient [haP*] 1.000
Tip radius factor [ρaP*] 0.000
Protuberance height coefficient [hprP*] 0.000
Protuberance angle [αprP] 0.000
Tip form height coefficient [hFaP*] 0.000
Ramp angle [αKP] 0.000
not topping

Summary of reference profile gears:

Dedendum reference profile [hfP*] 1.250 1.250
Tooth root radius Refer. profile [ρfP*] 0.300 0.300
Addendum Reference profile [haP*] 1.000 1.000
Protuberance height coefficient [hprP*] 0.000 0.000
Protuberance angle (°) [αprP] 0.000 0.000
Tip form height coefficient [hFaP*] 0.000 0.000
Ramp angle (°) [αKP] 0.000 0.000

Type of profile modification: none (only running-in)

Tip relief by running in (µm) [Ca L/R] 2.0 / 2.0 2.0 / 2.0

Lubrication type Oil bath lubrication

Type of oil Oil: ISO-VG 220
Lubricant base Mineral-oil base
Oil nominal kinematic viscosity at 40°C (mm²/s) [ν40] 220.00
Oil nominal kinematic viscosity at 100°C (mm²/s) [ν100] 17.50
Specific density at 15°C (kg/dm³) [ρ] 0.895
Oil temperature (°C) [TS] 70.000

------- Gear 1 -------- Gear 2 --

Overall transmission ratio [itot] -3.857
Gear ratio [u] 3.857
Transverse module (mm) [mt] 8.123
Transverse pressure angle (°) [αt] 20.284
Working transverse pressure angle (°) [αwt] 22.295

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 [αwt.e/i] 22.308 / 22.282
Working pressure angle at normal section (°) [αwn] 21.980
Helix angle at operating pitch circle (°) [βw] 10.135
Base helix angle (°) [βb] 9.391
Reference center distance (mm) [ad] 276.196
Sum of profile shift coefficients [Σxi] 0.4984
Profile shift coefficient [x] 0.4781 0.0203
Tooth thickness, arc, in module, module [sn*] 1.9188 1.5856

Tip alteration (mm) [k*mn] -0.183 -0.183

Reference diameter (mm) [d] 113.728 438.664
Base diameter (mm) [db] 106.675 411.462
Tip diameter (mm) [da] 137.011 454.624
(mm) [da.e/i] 137.011 / 136.971
(mm) [da.e/i] 454.624 / 454.561
Tip diameter allowances (mm) [Ada.e/i] 0.000 / -0.040
Tip diameter allowances (mm) [Ada.e/i] 0.000 / -0.063
Tip form diameter (mm) [dFa] 137.011 454.624
(mm) [dFa.e/i] 137.011 / 136.971
(mm) [dFa.e/i] 454.624 / 454.561
Active tip diameter (mm) [dNa] 137.011 454.624
[dNa.e/i] 137.011 / 136.971
[dNa.e/i] 454.624 / 454.561
Operating pitch diameter (mm) [dw] 115.294 444.706
(mm) [dw.e/i] 115.305 / 115.283
(mm) [dw.e/i] 444.747 / 444.665
Root diameter (mm) [df] 101.377 418.990
Generating Profile shift coefficient [xE.e/i] 0.4660/ 0.4592
Generating Profile shift coefficient [xE.e/i] -0.0020/ -0.0123
Generated root diameter with xE (mm) [df.e/i] 101.185 / 101.075
Generated root diameter with xE (mm) [df.e/i] 418.633 / 418.468
Theoretical tip clearance (mm) [c] 2.000 2.000
Effective tip clearance (mm) [c.e/i] 2.307 / 2.152
Effective tip clearance (mm) [c.e/i] 2.208 / 2.070
Active root diameter (mm) [dNf] 108.372 430.459
(mm) [dNf.e/i] 108.423 / 108.348
(mm) [dNf.e/i] 430.518 / 430.419
Root form diameter (mm) [dFf] 107.454 424.507
(mm) [dFf.e/i] 107.388 / 107.352
(mm) [dFf.e/i] 424.255 / 424.139
Reserve (dNf-dFf)/2 (mm) [cF.e/i] 0.535 / 0.480
Reserve (dNf-dFf)/2 (mm) [cF.e/i] 3.190 / 3.082
Involute length (mm) [l_dFa-l_dFf] 16.934 16.087
Addendum, mn(haP*+x+k) (mm) [ha] 11.642 7.980
(mm) [ha.e/i] 11.642 / 11.622
(mm) [ha.e/i] 7.980 / 7.948
Dedendum (mm) [hf=mn*(hfP*-x)] 6.175 9.837
(mm) [hf.e/i] 6.272 / 6.327
(mm) [hf.e/i] 10.016 / 10.098
Roll angle at dFa (°) [χ_dFa.e/i] 46.180 / 46.145
Roll angle at dFa (°) [χ_dFa.e/i] 26.923 / 26.902
Roll angle to dNa (°) [χ_dNa.e/i] 46.180 / 46.145
Roll angle to dNa (°) [χ_dNa.e/i] 26.923 / 26.902
Roll angle to dNf (°) [χ_dNf.e/i] 10.414 / 10.187
Roll angle to dNf (°) [χ_dNf.e/i] 17.639 / 17.591
Roll angle at dFf (°) [χ_dFf.e/i] 6.635 / 6.465
Roll angle at dFf (°) [χ_dFf.e/i] 14.398 / 14.332
Tooth height (mm) [h] 17.817 17.817
Virtual gear no. of teeth [zn] 14.605 56.333

3/10
Normal tooth thickness at tip circle (mm) [san] 3.353 6.401
(mm) [san.e/i] 3.300 / 3.222
(mm) [san.e/i] 6.295 / 6.204
Normal tooth thickness at tip form circle (mm) [sFan] 3.353 6.401
(mm) [sFan.e/i] 3.300 / 3.222
(mm) [sFan.e/i] 6.295 / 6.204
Normal space width at root circle (mm) [efn] 0.000 6.428
(mm) [efn.e/i] 0.000 / 0.000
(mm) [efn.e/i] 6.480 / 6.505
Max. sliding velocity at tip (m/s) [vga] 0.050 0.029
Specific sliding at the tip [ζa] 0.619 0.619
Specific sliding at the root [ζf] -1.624 -1.622
Mean specific sliding [ζm] 0.619
Sliding factor on tip [Kga] 0.461 0.269
Sliding factor on root [Kgf] -0.269 -0.461
Pitch on reference circle (mm) [pt] 25.520
Base pitch (mm) [pbt] 23.938
Transverse pitch on contact-path (mm) [pet] 23.938
Lead height (mm) [pz] 2026.272 7815.619
Axial pitch (mm) [px] 144.734 144.734
Length of path of contact (mm) [ga, e/i] 33.438 ( 33.506 / 33.263 )
Length T1-A (mm) [T1A] 9.552 ( 9.483 / 9.694 )
Length T2-A (mm) [T2A] 96.672 ( 96.672 / 96.598 )
Length T1-B (mm) [T1B] 19.051 ( 19.051 / 19.020 )
Length T2-B (mm) [T2B] 87.172 ( 87.103 / 87.272 )
Length T1-C (mm) [T1C] 21.870 ( 21.855 / 21.884 )
Length T2-C (mm) [T2C] 84.354 ( 84.299 / 84.408 )
Length T1-D (mm) [T1D] 33.489 ( 33.421 / 33.632 )
Length T2-D (mm) [T2D] 72.734 ( 72.734 / 72.660 )
Length T1-E (mm) [T1E] 42.989 ( 42.989 / 42.957 )
Length T2-E (mm) [T2E] 63.234 ( 63.165 / 63.334 )
Length T1-T2 (mm) [T1T2] 106.223 ( 106.155 / 106.292 )
Diameter of single contact point B (mm) [d-B] 113.276 ( 113.276 / 113.255 )
Diameter of single contact point B (mm) [d-B] 446.874 ( 446.821 / 446.953 )
Diameter of single contact point D (mm) [d-D] 125.959 ( 125.887 / 126.111 )
Diameter of single contact point D (mm) [d-D] 436.419 ( 436.419 / 436.370 )
Addendum contact ratio [ε] 0.882 ( 0.883 / 0.880 )
Addendum contact ratio [ε] 0.515 ( 0.517 / 0.509 )
Minimal length of contact line (mm) [Lmin] 134.508

Transverse contact ratio [εα] 1.397

Transverse contact ratio with allowances [εα.e/m/i] 1.400 / 1.395 / 1.390
Overlap ratio [εβ] 0.760
Total contact ratio [εγ] 2.157
Total contact ratio with allowances [εγ.e/m/i] 2.160 / 2.155 / 2.150

General influence factors

------- Gear 1 -------- Gear 2 --

Nominal circum. force at pitch circle (N) [Ft] 153938.1
Axial force (N) [Fa] 27143.4
Radial force (N) [Fr] 56893.2
Normal force (N) [Fnorm] 166344.7
Nominal circumferential force per mm (N/mm) [w] 1399.44
Only as information: Forces at operating pitch circle:
Nominal circumferential force (N) [Ftw] 151846.8
Axial force (N) [Faw] 27143.4
Radial force (N) [Frw] 62260.3

4/10
Circumferential speed reference circle (m/s) [v] 0.11
Circumferential speed operating pitch circle (m/s) [v(dw)] 0.11

Running-in value (µm) [yp] 1.2

Running-in value (µm) [yf] 1.4
Correction factor [CM] 0.800
Gear blank factor [CR] 1.000
Basic rack factor [CBS] 0.975
Material coefficient [E/Est] 1.000
Singular tooth stiffness (N/mm/µm) [c'] 13.550
Meshing stiffness (N/mm/µm) [cγ] 17.583
Reduced mass (kg/mm) [mRed] 0.05038
Resonance speed (min-1) [nE1] 12742
Resonance ratio (-) [N] 0.001
Subcritical range
Running-in value (µm) [yα] 1.2
Bearing distance l of pinion shaft (mm) [l] 226.000
Distance s of pinion shaft (mm) [s] 22.600
Outside diameter of pinion shaft (mm) [dsh] 103.400
Load according to Figure 6.8, DIN 3990-1:1987 [-] 4
0:6.8a, 1:6.8b, 2:6.8c, 3:6.8d, 4:6.8e
Coefficient K' according to Figure 6.8,
DIN 3990-1:1987 [K'] -1.00
Without stiffening
Tooth trace deviation (active) (µm) [Fβy] 9.01
from deformation of shaft (µm) [fsh*B1] 13.99
fsh (µm) = 13.99 , B1=1.00 , fHβ5 (µm) = 8.00
Tooth without tooth trace modification
Position of contact pattern: favorable
from production tolerances (µm) [fmα*B2] 15.00
B2=
1.00
Tooth trace deviation, theoretical (µm) [Fβx] 10.60
Running-in value (µm) [yβ] 1.59

Dynamic factor [Kv] 1.000

Face load factor - flank [KHβ] 1.051

- Tooth root [KFβ] 1.043
- Scuffing [KBβ] 1.051

Transverse load factor - flank [KHα] 1.000

- Tooth root [KFα] 1.000
- Scuffing [KBα] 1.000

Number of load cycles (in mio.) [NL] 21.600 5.600

Tooth root load capacity

Calculation of Tooth form coefficients according method: B

------- Gear 1 -------- Gear 2 --
Calculated with profile shift coefficient [x] 0.4781 0.0203
Tooth form factor [YF] 1.38 1.62
Stress correction factor [YS] 2.24 2.02
Load application angle (°) [αFen] 26.36 21.27
Bending moment arm (mm) [hF] 8.72 10.55
Tooth thickness at root (mm) [sFn] 16.99 17.63
Tooth root radius (mm) [ρF] 3.01 3.53

5/10
Bending moment arm (-) [hF/mn] 1.090 1.319
Tooth thickness at root (-) [sFn/mn] 2.124 2.204
Tooth root radius (-) [ρF/mn] 0.376 0.442
Load application diameter (mm) [den] 128.367 458.373
Calculation cross section diameter (mm) [dsFn] 103.381 421.709
Tangents on calculation cross section (°) [αsFn] 30.000 30.000
Notch parameter [qs] 2.824 2.494

Contact ratio factor [Yε] 1.000

Helix angle factor [Yβ] 0.937
Effective facewidth (mm) [beff] 113.00 110.00
Nominal stress at tooth root (N/mm²) [σF0] 494.73 534.27
Tooth root stress (N/mm²) [σF] 567.82 613.20

Permissible bending stress at root of Test-gear

Notch sensitivity factor [YdrelT] 1.003 1.000
Surface factor [YRrelT] 0.957 0.957
Size factor, tooth root [YX] 0.970 0.970
Finite life factor [YNT] 1.000 1.000
YC*YdrelT*YRrelT*YX*YNT 0.931 0.928
Alternating bending factor, mean stress influence coefficient
[YM] 1.000 1.000
Stress correction factor [Yst] 2.00
Yst*σFlim (N/mm²) [σFE] 860.00 860.00
Permissible tooth root stress σFG/SFmin (N/mm²) [σFP] 571.78 570.05
Limit strength tooth root (N/mm²) [σFG] 800.49 798.07
Required safety [SFmin] 1.40 1.40
Safety for tooth root stress [SF=σFG/σF] 1.41 1.30
Transmittable power (kW) [kWRating] 16.62 15.34

Flank safety

------- Gear 1 -------- Gear 2 --

Zone factor [ZH] 2.339
Elasticity factor (√N/mm²) [ZE] 189.812
Contact ratio factor [Zε] 0.867
Helix angle factor [Zβ] 0.992
Effective facewidth (mm) [beff] 110.00
Nominal contact stress (N/mm²) [σH0] 1504.14
Contact stress at operating pitch circle (N/mm²) [σHw] 1617.91
Single tooth contact factor [ZB,ZD] 1.01 1.00
Contact stress (N/mm²) [σHB, σHD] 1638.85 1617.91

Lubrication factor for NL [ZL] 1.017 1.013

Speed factor for NL [ZV] 0.946 0.959
Roughness factor for NL [ZR] 0.991 0.993
Material hardening factor for NL [ZW] 1.000 1.000
Finite life factor [ZNT] 1.066 1.180
[ZL*ZV*ZR*ZNT] 1.017 1.139
Limited pitting is permitted: No
Size factor (flank) [ZX] 1.000 1.000
Permissible contact stress, σHG/SHmin (N/mm²) [σHP] 1525.02 1708.96
Pitting stress limit (N/mm²) [σHG] 1525.02 1708.96
Required safety [SHmin] 1.00 1.00
Safety factor for contact stress at operating pitch circle [SHw] 0.94 1.06
Safety against pressure, σHG/σHBD Single contact [SHBD] 0.93 1.06

6/10
 Safety regarding transmittable torque [(SHBD)^2] 0.87 1.12
Transmittable power (kW) [kWRating] 14.29 18.41

Micropitting according to ISO/TS 6336-22-1:2018

Calculation has not been carried out, lubricant: Load stage micropitting test not known

Scuffing load capacity

Calculation method according to DIN 3990:1987

Helical load factor scuffing [KBγ] 1.134

Lubrication coefficient for lubrication type [XS] 1.000
Scuffing test and load stage [FZGtest] FZG - Test A / 8.3 / 90 (ISO 14635 - 1) 12
Relative structural factor, scuffing [XWrelT] 1.000
Thermal contact factor (N/mm/s^.5/K) [BM] 13.780 13.780
Relevant tip relief (µm) [Ca] 2.00 2.00
Optimal tip relief (µm) [Ceff] 87.55
Ca taken as optimal in the calculation (0=no, 1=yes) 0 0
Effective facewidth (mm) [beff] 110.000
Applicable circumferential force/facewidth (N/mm) [wBt] 1835.410
Angle factor [Xαβ] 1.008
ε1: 0.882 , ε2: 0.515

Flash temperature-criteria
Tooth mass temperature (°C) [θMB] 106.93
θMB = θoil + XS*0.47*θflamax
Maximum flash temperature (°C) [θflamax] 78.57
Scuffing temperature (°C) [θS] 408.58
Γ coordinates (point of highest temperature) [Γ] 0.531
[Γ.A]= -0.563 [Γ.E]= 0.966
Highest contact temp. (°C) [θB] 185.50
Flash factor (°K*N^-.75*s^.5*m^-.5*mm) [XM] 50.058
Geometry factor [XB] 0.231
Load sharing factor [Xγ] 1.000
Dynamic viscosity (mPa*s) [ηM] 12.43 ( 70.0 °C)
Coefficient of friction [μm] 0.300
Required safety [SBmin] 2.000
Margin of safety for scuffing, flash temperature [SB] 2.931

Integral temperature-criteria
Tooth mass temperature (°C) [θMC] 90.52
θMC = θoil + XS*0.70*θflaint
Mean flash temperature (°C) [θflaint] 29.32
Integral scuffing temperature (°C) [θSint] 408.58
Flash factor (°K*N^-.75*s^.5*m^-.5*mm) [XM] 50.058
Contact ratio factor [Xε] 0.272
Dynamic viscosity (mPa*s) [ηOil] 41.90 ( 70.0 °C)
Mean coefficient of friction [μm] 0.248
Geometry factor [XBE] 0.390
Meshing factor [XQ] 1.000
Tip relief factor [XCa] 1.019
Integral tooth flank temperature (°C) [θint] 134.51
Required safety [SSmin] 1.800
Safety factor for scuffing (intg.-temp.) [SSint] 3.038

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Safety referring to transmittable torque [SSL] 5.249

Measurements for tooth thickness

------- Gear 1 -------- Gear 2 --

Tooth thickness tolerance DIN 3967 cd25 DIN 3967 cd25
Tooth thickness allowance (normal section) (mm) [As.e/i] -0.070 /-0.110-0.130 /-0.190

Number of teeth spanned [k] 3.000 7.000

Base tangent length (no backlash) (mm) [Wk] 63.297 159.943
Actual base tangent length (span) (mm) [Wk.e/i] 63.232 / 63.194159.821 / 159.764
(mm) [ΔWk.e/i] -0.066 / -0.103 -0.122 / -0.179
Diameter of measuring circle (mm) [dMWk.m] 123.568 440.630

Theoretical diameter of ball/pin (mm) [DM] 16.926 13.533

Effective diameter of ball/pin (mm) [DMeff] 18.000 14.000
Radial single-ball measurement backlash free (mm) [MrK] 75.023 229.535
Radial single-ball measurement (mm) [MrK.e/i] 74.966 / 74.934229.373 / 229.297
Diameter of measuring circle (mm) [dMMr.m] 122.301 439.618
Diametral measurement over two balls without clearance (mm) [MdK] 150.045 459.071
Diametral two ball measure (mm) [MdK.e/i] 149.932 /149.867 458.745 / 458.594
Diametral measurement over pins without clearance (mm) [MdR] 150.045 459.071
Measurement over pins according to DIN 3960 (mm) [MdR.e/i] 149.932 /149.867 458.745 / 458.594
Measurement over 3 pins, axial, according to AGMA 2002 (mm)
[dk3A.e/i] 149.932 /149.867 458.745 / 458.594

Chordal tooth thickness (no backlash) (mm) [sc] 15.307 12.683

Actual chordal tooth thickness (mm) [sc.e/i] 15.239 / 15.201 12.554 / 12.495
Reference chordal height from da.m (mm) [ha] 12.134 8.053
Tooth thickness, arc (mm) [sn] 15.350 12.685
(mm) [sn.e/i] 15.280 / 15.240 12.555 / 12.495

Backlash free center distance (mm) [aControl.e/i] 279.748 /279.622

Backlash free center distance, allowances (mm) [jta] -0.252 / -0.378
dNf.i with aControl (mm) [dNf0.i] 108.037 429.875
Reserve (dNf0.i-dFf.e)/2 (mm) [cF0.i] 0.325 2.810
Tip clearance (mm) [c0.i(aControl)] 1.800 1.718
Center distance allowances (mm) [Aa.e/i] 0.026 / -0.026

Circumferential backlash from Aa (mm) [jtw_Aa.e/i] 0.021 / -0.021

Radial backlash (mm) [jrw.e/i] 0.404 / 0.226
Circumferential backlash (transverse section) (mm) [jtw.e/i] 0.330 / 0.185
Normal backlash (mm) [jn.e/i] 0.300 / 0.170
Torsional angle on input with output fixed:
Total torsional angle (°) [j.tSys] 0.3281/0.1834

Toothing tolerances

------- Gear 1 -------- Gear 2 --

According to DIN 3961:1978
Accuracy grade [Q-DIN3961] 7 7
Profile form deviation (µm) [ff] 19.00 19.00
Profile slope deviation (µm) [fHa] 13.00 13.00
Total profile deviation (µm) [Ff] 23.00 23.00
Helix form deviation (µm) [fbf] 17.00 17.00
Helix slope deviation (µm) [fHb] 15.00 15.00
Total helix deviation (µm) [Fb] 23.00 23.00

8/10
Normal base pitch deviation (µm) [fpe] 14.00 16.00
Single pitch deviation (µm) [fp] 14.00 16.00
Adjacent pitch difference (µm) [fu] 18.00 20.00
Total cumulative pitch deviation (µm) [Fp] 44.00 60.00
Sector pitch deviation over z/8 pitches (µm) [Fpz/8] 28.00 38.00
Runout (µm) [Fr] 35.00 45.00
Tooth Thickness Variation (µm) [Rs] 20.00 26.00
Single flank composite, total (µm) [Fi'] 53.00 66.00
Single flank composite, tooth-to-tooth (µm) [fi'] 26.00 27.00
Radial composite, total (µm) [Fi"] 38.00 49.00
Radial composite, tooth-to-tooth (µm) [fi"] 17.00 22.00

Axis alignment tolerances (recommendation acc. to ISO TR 10064-3:1996, Quality)

7
Maximum value for deviation error of axis (µm) [fΣβ] 26.71 (Fβ= 26.00 )
Maximum value for inclination error of axes (µm) [fΣδ] 53.42

Modifying and defining the tooth form

Data for the tooth form calculation :

Data not available.
Please run the calculation in the "Tooth form" tab and open the main report again.

Supplementary data

Mass (kg) [m] 9.873 129.069

Total mass (kg) [mGes] 138.942
Moment of inertia for system, relative to the input:
calculation without consideration of the exact tooth shape
Single gears, (da+df)/2...di (kg*m²) [J] 0.01753 3.07831
System (da+df)/2...di (kg*m²) [J] 0.22444
Torsional stiffness at driving gear with fixed driven gear:
Torsional stiffness (MNm/rad) [cr] 5.428
Torsion when subjected to nominal torque (°) [δcr] 0.092
Mean coefficient of friction (as defined in Niemann) [μm] 0.100
Wear sliding coef. by Niemann [ζw] 0.864
Gear power loss (kW) [PVZ] 0.306
Meshing efficiency (%) [ηz] 98.147
Sound pressure level according to Masuda, without contact analysis
[dB(A)] 66.8

Service life, damage

Required safety for tooth root [SFmin] 1.40

Required safety for tooth flank [SHmin] 1.00

Service life (calculated with required safeties):

System service life (h) [Hatt] 5970

Tooth root service life (h) [HFatt] 1e+06 5970

Tooth flank service life (h) [HHatt] 8520 3.828e+04
Note: The entry 1e+006 h means that the Service life > 1,000,000 h.

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Damage calculated on the basis of the required service life [H] ( 20000.0 h)
F1% F2% H1% H2%
0.00 335.0236 234.7399 52.2511

Damage calculated on basis of system service life [Hatt] (5969.7 h)

F1% F2% H1% H2%
0.00 100.0000 70.0667 15.5963

Remarks:
- Specifications with [.e/i] imply: Maximum [e] and minimum value [i] for
Taking all tolerances into account
Specifications with [.m] imply: Mean value within tolerance
- For the backlash tolerance, the center distance tolerances and the tooth thickness allowance
are taken into account.
The maximum and minimum clearance according to
the largest or smallest allowances are defined..
The calculation is performed for the operating pitch circle.
- Details of calculation method:
cγ according to Method B
Kv according to Method B
KHβ and KFβ according to Method C
KHα, KFα according to Method B

End of Report lines: 552

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