Helical gear calculation using software
Content
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Name
:
Unnamed
Changed by:
Maruti
on: 31.05.2016
at: 23:20:12
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:
1.0 m/s <= v(=0.4 m/s) <= 50.0 m/s
CALCULATION OF A HELICAL GEAR PAIR
Drawing or article number:
Gear 1:
0.000.0
Gear 2:
0.000.0
Calculation method
ISO 6336:2006 Method B
------- GEAR 1 -------- GEAR 2 --
Power (kW)
Speed (1/min)
Torque (Nm)
Application factor
Required service life (h)
Gear driving (+) / driven (-)
Working flank gear 1: Right flank
[P]
[n]
[T]
[KA]
[H]
5.000
100.0
477.5
66.7
716.2
1.25
+
20000.00
-
1. TOOTH GEOMETRY AND MATERIAL
(geometry calculation according to
DIN 3960:1987)
------- GEAR 1 -------- GEAR 2 -Center distance (mm)
[a]
91.500
Centre distance tolerance
ISO 286:2010 Measure js7
Normal module (mm)
[mn]
3.5000
Pressure angle at normal section (°)
[alfn]
20.0000
Helix angle at reference circle (°)
[beta]
15.0000
Number of teeth
[z]
20
30
Facewidth (mm)
[b]
23.00
23.00
Hand of gear
right
left
Accuracy grade
[Q-ISO 1328:1995]
6
6
Inner diameter (mm)
[di]
0.00
0.00
Inner diameter of gear rim (mm)
[dbi]
0.00
0.00
Material
Gear 1:
Gear 2:
1/10
18CrNiMo7-6, Case-carburized steel, case-hardened
ISO 6336-5 Figure 9/10 (MQ), core strength >=25HRC Jominy J=12mm<HRC28
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 61
Material quality according to ISO 6336:2006 Normal (Life factors ZNT and YNT >=0.85)
Fatigue strength. tooth root stress (N/mm²)
[sigFlim]
430.00
430.00
Fatigue strength for Hertzian pressure (N/mm²)
[sigHlim]
1500.00
1500.00
Tensile strength (N/mm²)
[Rm]
1200.00
1200.00
Yield point (N/mm²)
[Rp]
850.00
850.00
Young's modulus (N/mm²)
[E]
206000
206000
Poisson's ratio
[ny]
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 / 0.38 / 1.0 ISO 53.2:1997 Profil A
Dedendum coefficient
[hfP*]
Root radius factor
[rhofP*]
Addendum coefficient
[haP*]
Tip radius factor
[rhoaP*]
Protuberance height factor
[hprP*]
Protuberance angle
[alfprP]
Tip form height coefficient
[hFaP*]
Ramp angle
[alfKP]
1.250
0.380 (rhofPmax*= 0.472)
1.000
0.000
0.000
0.000
0.000
0.000
not topping
Gear reference profile
2:
Reference profile
1.25 / 0.38 / 1.0 ISO 53.2:1997 Profil A
Dedendum coefficient
[hfP*]
Root radius factor
[rhofP*]
Addendum coefficient
[haP*]
Tip radius factor
[rhoaP*]
Protuberance height factor
[hprP*]
Protuberance angle
[alfprP]
Tip form height coefficient
[hFaP*]
Ramp angle
[alfKP]
1.250
0.380 (rhofPmax*= 0.472)
1.000
0.000
0.000
0.000
0.000
0.000
not topping
Summary of reference profile gears:
Dedendum reference profile
Tooth root radius Refer. profile
Addendum Reference profile
Protuberance height factor
Protuberance angle (°)
Tip form height coefficient
Ramp angle (°)
[hfP*]
[rofP*]
[haP*]
[hprP*]
[alfprP]
[hFaP*]
[alfKP]
1.250
0.380
1.000
0.000
0.000
0.000
0.000
1.250
0.380
1.000
0.000
0.000
0.000
0.000
Type of profile modification:
none (only running-in)
Tip relief (µm)
[Ca]
2.0
2.0
Lubrication type
Type of oil
Lubricant base
Kinem. viscosity
2/10
oil bath lubrication
Oil: ISO-VG 220
Mineral-oil base
oil at
40 °C (mm²/s)
[nu40]
220.00
Kinem. viscosity
oil at 100 °C (mm²/s)
FZG test A/8.3/90 (
ISO 14635-1:2006)
Specific density at 15 °C (kg/dm³)
Oil temperature (°C)
[nu100]
[FZGtestA]
[roOil]
[TS]
17.50
12
0.895
70.000
Working pressure angle at normal section (°)
Helix angle at operating pitch circle (°)
Base helix angle (°)
Reference centre distance (mm)
Sum of profile shift coefficients
Profile shift coefficient
Tooth thickness (Arc) (module) (module)
------- GEAR 1 -------- GEAR 2 -[itot]
-1.500
[u]
1.500
[mt]
3.623
[alft]
20.647
[alfwt]
22.115
[alfwt.e/i]
22.142 /
22.088
[alfwn]
21.418
[betaw]
15.144
[betab]
14.076
[ad]
90.587
[Summexi]
0.2699
[x]
0.2431
0.0268
[sn*]
1.7478
1.5903
Tip alteration (mm)
Reference diameter (mm)
Base diameter (mm)
Tip diameter (mm)
(mm)
Tip diameter allowances (mm)
Tip form diameter (mm)
(mm)
Active tip diameter (mm)
Active tip diameter (mm)
Operating pitch diameter (mm)
(mm)
Root diameter (mm)
Generating Profile shift coefficient
Manufactured root diameter with xE (mm)
Theoretical tip clearance (mm)
Effective tip clearance (mm)
Active root diameter (mm)
(mm)
Root form diameter (mm)
(mm)
Reserve (dNf-dFf)/2 (mm)
Addendum (mm)
(mm)
Dedendum (mm)
(mm)
Roll angle at dFa (°)
Roll angle to dNa (°)
Roll angle to dNf (°)
Roll angle at dFf (°)
Tooth height (mm)
Virtual gear
no. of teeth
Normal-tooth thickness at tip circle (mm)
(mm)
Normal-tooth thickness on tip form circle (mm)
(mm)
Normal space width at root circle (mm)
[k*mn]
-0.031
[d]
72.469
[db]
67.815
[da]
81.109
[da.e/i]
81.109 /
81.099
[Ada.e/i]
0.000 /
-0.010
[dFa]
81.109
[dFa.e/i]
81.109 /
81.099
[dNa]
81.109
[dNa.e/i]
81.109 /
81.099
[dw]
73.200
[dw.e/i]
73.214 /
73.186
[df]
65.421
[xE.e/i]
0.2156/
0.1999
[df.e/i]
65.229 /
65.119
[c]
0.875
[c.e/i]
1.048 /
0.953
[dNf]
69.144
[dNf.e/i]
69.166 /
69.126
[dFf]
68.627
[dFf.e/i]
68.546 /
68.501
[cF.e/i]
0.333 /
0.290
[ha=mn*(haP*+x+k)]
4.320
[ha.e/i]
4.320 /
4.315
[hf=mn*(hfP*-x)]
3.524
[hf.e/i]
3.620 /
3.675
[xsi_dFa.e/i]
37.594 /
37.578
[xsi_dNa.e/i]
37.594 /
37.578
[xsi_dNf.e/i]
11.497 /
11.322
[xsi_dFf.e/i]
8.434 /
8.171
[H]
7.844
[zn]
22.007
[san]
2.205
[san.e/i]
2.133 /
2.083
[sFan]
2.205
[sFan.e/i]
2.133 /
2.083
[efn]
0.000
Overall transmission ratio
Gear ratio
Transverse module (mm)
Pressure angle at pitch circle (°)
Working transverse pressure angle (°)
3/10
-0.031
108.704
101.722
115.830
115.830 / 115.820
0.000 /
-0.010
115.830
115.830 / 115.820
115.830
115.830 / 115.820
109.800
109.821 / 109.779
100.142
-0.0007/
-0.0164
99.949 /
99.839
0.875
1.048 /
0.953
104.607
104.633 / 104.585
103.483
103.384 / 103.329
0.652 /
0.600
3.563
3.563 /
3.558
4.281
4.377 /
4.432
31.204 /
31.193
31.204 /
31.193
13.805 /
13.690
10.401 /
10.225
7.844
33.011
2.623
2.553 /
2.506
2.623
2.553 /
2.506
0.000
(mm)
Max. sliding velocity at tip (m/s)
Specific sliding at the tip
Specific sliding at the root
Mean specific sliding
Sliding factor on tip
Sliding factor on root
Pitch on reference circle (mm)
Base pitch (mm)
Transverse pitch on contact-path (mm)
Lead height (mm)
Axial pitch (mm)
Length of path of contact (mm)
Length T1-A, T2-A (mm)
Length T1-B (mm)
Length T1-C (mm)
Length T1-D (mm)
Length T1-E (mm)
Length T1-T2 (mm)
Diameter of single contact point B (mm)
Diameter of single contact point D (mm)
Addendum contact ratio
Minimal length of contact line (mm)
[efn.e/i]
[vga]
[zetaa]
[zetaf]
[zetam]
[Kga]
[Kgf]
[pt]
[pbt]
[pet]
[pz]
[px]
[ga, e/i]
[T1A, T2A]
[T1B, T2B]
[T1C, T2C]
[T1D, T2D]
[T1E, T2E]
[T1T2]
[d-B]
[d-D]
[eps]
[Lmin]
Transverse contact ratio
Transverse contact ratio with allowances
Overlap ratio
Total contact ratio
Total contact ratio with allowances
[eps_a]
[eps_a.e/m/i]
[eps_b]
[eps_g]
[eps_g.e/m/i]
0.000 /
0.000
0.000 /
0.000
0.148
0.123
0.634
0.635
-1.737
-1.736
0.635
0.386
0.320
-0.320
-0.386
11.383
10.652
10.652
849.673
1274.509
42.484
15.501 ( 15.548 /
15.435)
6.747(
6.700/
6.804)
27.700( 27.700/ 27.689)
11.596( 11.596/ 11.586)
22.851( 22.805/ 22.907)
13.779( 13.760/ 13.797)
20.668( 20.640/ 20.696)
17.399( 17.353/ 17.456)
17.047( 17.047/ 17.037)
22.248( 22.248/ 22.239)
12.199( 12.152/ 12.254)
34.447 ( 34.400 /
34.493)
71.670( 71.670/ 71.665) 111.517( 111.479/ 111.563)
76.222( 76.179/ 76.274) 107.284( 107.284/ 107.277)
0.795(
0.797/
0.792)
0.660(
0.663/
0.657)
23.712
1.455
1.460 / 1.454 / 1.449
0.541
1.997
2.001 / 1.996 / 1.990
2. FACTORS OF GENERAL INFLUENCE
Nominal circum. force at pitch circle (N)
Axial force (N)
Radial force (N)
Normal force (N)
Nominal circumferential force per mm (N/mm)
Only as information: Forces at operating pitch circle:
Nominal circumferential force (N)
Axial force (N)
Radial force (N)
Circumferential speed reference circle (m/s)
Circumferential speed operating pitch circle (m/s)
[Ft]
[Fa]
[Fr]
[Fnorm]
[w]
[Ftw]
[Faw]
[Frw]
[v]
[v(dw)]
Running-in value (µm)
Running-in value (µm)
Correction coefficient
Gear body coefficient
Reference profile coefficient
Material coefficient
Singular tooth stiffness (N/mm/µm)
Meshing stiffness (N/mm/µm)
Meshing stiffness (N/mm/µm)
Reduced mass (kg/mm)
4/10
[yp]
[yf]
[CM]
[CR]
[CBS]
[E/Est]
[c']
[cgalf]
[cgbet]
[mRed]
------- GEAR 1 -------- GEAR 2 -13177.0
3530.8
4965.2
14517.4
572.91
13045.5
3530.8
5301.2
0.38
0.38
0.6
0.6
0.800
1.000
0.975
1.000
12.696
17.030
14.476
0.01305
Resonance speed (min-1)
[nE1]
Resonance ratio (-)
[N]
Subcritical range
Running-in value (µm)
[ya]
Bearing distance l of pinion shaft (mm)
[l]
Distance s
of pinion shaft (mm)
[s]
Outside diameter of pinion shaft (mm)
[dsh]
Load in accordance with Figure 13, ISO 6336-1:2006
[-]
0:a), 1:b), 2:c), 3:d), 4:e)
Coefficient K' according to Figure 13, ISO 6336-1:2006
[K']
Without support effect
Tooth trace deviation (active) (µm)
[Fby]
from deformation of shaft (µm)
[fsh*B1]
(fsh (µm) = 5.94, B1= 1.00, fHb5 (µm) = 6.00)
Tooth without tooth trace modification
Position of Contact pattern: favorable
from production tolerances (µm)
[fma*B2]
(B2=
1.00)
Tooth trace deviation, theoretical (µm)
[Fbx]
Running-in value (µm)
[yb]
Dynamic factor
17251
0.006
0.6
46.000
4.600
23.000
4
-1.00
3.61
5.94
12.02
4.25
0.64
[KV]
1.002
flank
Tooth root
Scuffing
[KHb]
[KFb]
[KBb]
1.036
1.025
1.036
Transverse load factor - flank
- Tooth root
- Scuffing
[KHa]
[KFa]
[KBa]
1.000
1.000
1.000
Helical load factor scuffing
[Kbg]
1.000
Number of load cycles (in mio.)
[NL]
Face load factor -
120.000
80.000
3. TOOTH ROOT STRENGTH
Calculation of Tooth form coefficients according method: B
------- GEAR 1 -------- GEAR 2 -Calculated with profile shift
[x]
0.24
Tooth form factor
[YF]
1.38
Stress correction factor
[YS]
2.03
Working angle (°)
[alfFen]
21.96
Bending lever arm (mm)
[hF]
3.61
Tooth thickness at root (mm)
[sFn]
7.36
Tooth root radius (mm)
[roF]
1.71
(hF* = 1.030/ 1.120 sFn* = 2.103/ 2.100 roF* = 0.488/ 0.534 dsFn = 66.683/ 101.557 alfsFn =
0.03
1.52
1.90
20.57
3.92
7.35
1.87
30.00/ 30.00)
Helix angle factor
Deep tooth factor
Gear rim factor
Effective facewidth (mm)
Nominal stress at tooth root (N/mm²)
Tooth root stress (N/mm²)
1.00
23.00
441.52
566.80
5/10
[Ybet]
[YDT]
[YB]
[beff]
[sigF0]
[sigF]
0.932
1.000
1.00
23.00
428.36
549.90
Permissible bending stress at root of Test-gear
Notch sensitivity factor
[YdrelT]
Surface factor
[YRrelT]
size factor (Tooth root)
[YX]
Finite life factor
[YNT]
[YdrelT*YRrelT*YX*YNT]
Alternating bending factor (mean stress influence coefficient)
[YM]
Stress correction factor
[Yst]
Yst*sigFlim (N/mm²)
[sigFE]
Permissible tooth root stress (N/mm²)
[sigFP=sigFG/SFmin]
Limit strength tooth root (N/mm²)
[sigFG]
Required safety
[SFmin]
Safety for Tooth root stress
[SF=sigFG/sigF]
Transmittable power (kW)
[kWRating]
0.997
0.957
1.000
0.929
0.886
0.995
0.957
1.000
0.936
0.891
1.000
1.000
2.00
860.00
544.00
761.59
1.40
1.38
4.95
860.00
547.38
766.33
1.40
1.35
4.83
4. SAFETY AGAINST PITTING (TOOTH FLANK)
Zone factor
Elasticity coefficient (√N/mm)
Contact ratio factor
Helix angle factor
Effective facewidth (mm)
Nominal flank pressure (N/mm²)
Surface pressure at operating pitch circle (N/mm²)
Single tooth contact factor
Flank pressure (N/mm²)
[ZH]
[ZE]
[Zeps]
[Zbet]
[beff]
[sigH0]
------- GEAR 1 -------- GEAR 2 -2.335
189.812
0.872
1.017
23.00
1427.99
[sigHw]
[ZB,ZD]
[sigHB, sigHD]
1626.87
1.02
1654.26
1.00
1626.87
[ZL]
1.020
[ZV]
0.945
[ZR]
0.958
[ZW]
1.000
[ZNT]
0.974
[ZL*ZV*ZR*ZNT]
0.899
Small no. of pittings permissible:
no
Size factor (flank)
[ZX]
1.000
Permissible surface pressure (N/mm²)
[sigHP=sigHG/SHmin] 1348.97
Limit strength pitting (N/mm²)
[sigHG]
1348.97
Required safety
[SHmin]
1.00
Safety for surface pressure at operating pitch circle
[SHw]
0.83
Safety for stress at single tooth contact
[SHBD=sigHG/sigHBD]
0.82
(Safety regarding transmittable torque)
[(SHBD)^2]
0.66
Transmittable power (kW)
[kWRating]
3.32
1.020
0.945
0.958
1.000
0.986
0.911
Lubrication coefficient at NL
Speed coefficient at NL
Roughness coefficient at NL
Work hardening factor at NL
Finite life factor
4b. MICROPITTING ACCORDING TO
ISO/TR 15144-1:2014
Calculation did not run. (Lubricant: Load stage micropitting test is unknown.)
6/10
1.000
1365.85
1365.85
1.00
0.84
0.84
0.70
3.52
5. STRENGTH AGAINST SCUFFING
Calculation method according to
ISO TR 13989:2000
Lubrication coefficient (for lubrication type)
Multiple meshing factor
Relative structure coefficient (Scuffing)
Thermal contact factor (N/mm/s^.5/K)
Relevant tip relief (µm)
Optimal tip relief (µm)
Ca taken as optimal in the calculation (0=no, 1=yes)
Effective facewidth (mm)
Applicable circumferential force/facewidth (N/mm)
(Kbg =
1.000, wBt*Kbg = 743.615)
Angle factor
(ε1:0.795, ε2:0.660)
[XS]
[Xmp]
[XWrelT]
[BM]
[Ca]
[Ceff]
1.000
1.000
1.000
13.780
2.00
13.780
2.00
42.05
0
0
[beff]
23.000
[wBt]
743.615
[Xalfbet]
1.002
Flash temperature-criteria
Lubricant factor
Tooth mass temperature (°C)
theM = theoil + XS*0.47*Xmp*theflm
Scuffing temperature (°C)
Coordinate gamma (point of highest temp.)
[Gamma.A]=-0.510 [Gamma.E]=0.615
Highest contact temp. (°C)
Flash factor (°K*N^-.75*s^.5*m^-.5*mm)
Approach factor
Load sharing factor
Dynamic viscosity (mPa*s)
Coefficient of friction
Required safety
Safety factor for scuffing (flash temperature)
[XL]
[theMi]
[theflm]
[theS]
[Gamma]
0.830
78.98
19.12
348.80
0.615
[theB]
[XM]
[XJ]
[XGam]
[etaM]
[mym]
[SBmin]
[SB]
109.50
50.058
1.000
0.387
41.90 ( 70.0 °C)
0.122
2.000
7.057
Integral temperature-criteria
Lubricant factor
Tooth mass temperature (°C)
theM-C = theoil + XS*0.70*theflaint
Integral scuffing temperature (°C)
Flash factor (°K*N^-.75*s^.5*m^-.5*mm)
Running-in factor (well run in)
Contact ratio factor
Dynamic viscosity (mPa*s)
Mean coefficient of friction
Geometry factor
Meshing factor
Tip relief factor
Integral tooth flank temperature (°C)
Required safety
Safety factor for scuffing (intg.-temp.)
Safety referring to transferred torque
[XL]
[theM-C]
[theflaint]
[theSint]
[XM]
[XE]
[Xeps]
[etaOil]
[mym]
[XBE]
[XQ]
[XCa]
[theint]
[SSmin]
[SSint]
[SSL]
1.000
82.29
17.56
360.78
50.058
1.000
0.273
41.90 ( 70.0 °C)
0.133
0.371
1.000
1.088
108.62
1.800
3.321
7.529
6. MEASUREMENTS FOR TOOTH THICKNESS
------- GEAR 1 -------- GEAR 2 --
7/10
Tooth thickness deviation
Tooth thickness allowance (normal section) (mm)
DIN 3967 cd25 DIN 3967 cd25
[As.e/i]
-0.070 / -0.110
Number of teeth spanned
Base tangent length (no backlash) (mm)
Actual base tangent length ('span') (mm)
(mm)
Diameter of contact point (mm)
[k]
[Wk]
[Wk.e/i]
[ΔWk.e/i]
[dMWk.m]
Theoretical diameter of ball/pin (mm)
[DM]
Eff. Diameter of ball/pin (mm)
[DMeff]
Theor. dim. centre to ball (mm)
[MrK]
Actual dimension centre to ball (mm)
[MrK.e/i]
Diameter of contact point (mm)
[dMMr.m]
Diametral measurement over two balls without clearance (mm)
[MdK]
Actual dimension over balls (mm)
[MdK.e/i]
Diametral measurement over rolls without clearance (mm)
[MdR]
Actual dimension over rolls (mm)
[MdR.e/i]
-0.070 /
3.000
4.000
27.495
37.851
27.430 / 27.392 37.785 / 37.748
-0.066 /
-0.103 -0.066 /
-0.103
72.841
108.117
6.362
5.977
6.500
6.000
41.836
58.574
41.765 / 41.724 58.490 / 58.441
74.212
108.741
83.672
117.149
83.529 / 83.447 116.980 / 116.883
83.672
117.149
83.529 / 83.447 116.980 / 116.883
Chordal tooth thickness (no backlash) (mm)
Actual chordal tooth thickness (mm)
Reference chordal height from da.m (mm)
Tooth thickness (Arc) (mm)
(mm)
['sn]
['sn.e/i]
[ha]
[sn]
[sn.e/i]
Backlash free center distance (mm)
Backlash free center distance, allowances (mm)
dNf.i with aControl (mm)
Reserve (dNf0.i-dFf.e)/2 (mm)
Tip clearance
Centre distance allowances (mm)
[aControl.e/i]
[jta]
[dNf0.i]
[cF0.i]
[c0.i(aControl)]
[Aa.e/i]
Circumferential backlash from Aa (mm)
Radial clearance (mm)
Circumferential backlash (transverse section) (mm)
[jtw_Aa.e/i]
0.014 /
[jrw]
0.303 /
[jtw]
0.244 /
0.132
0.2549 / 0.1379
0.222 /
0.120
Rotation angle when gear 1 is fixed (°)
Normal backlash (mm)
6.111
6.041 /
6.001
4.438
6.117
6.047 /
6.007
[jnw]
-0.110
5.564
5.454
3.627
5.566
5.496 /
5.456
5.494 /
91.319 / 91.214
-0.181 /
-0.286
68.861
104.260
0.158
0.438
0.685
0.685
0.018 /
-0.018
-0.014
0.164
7. GEAR ACCURACY
------- GEAR 1 -------- GEAR 2 -According to ISO 1328:1995
Accuracy grade
Single pitch deviation (µm)
Base circle pitch deviation (µm)
Sector pitch deviation over k/8 pitches (µm)
Profile form deviation (µm)
Profile slope deviation (µm)
Total profile deviation (µm)
Helix form deviation (µm)
Helix slope deviation (µm)
Total helix deviation (µm)
Total cumulative pitch deviation (µm)
8/10
[Q-ISO1328]
[fptT]
[fpbT]
[Fpk/8T]
[ffaT]
[fHaT]
[FaT]
[ffbT]
[fHbT]
[FbT]
[FpT]
6
8.50
8.00
12.00
8.50
7.00
11.00
8.50
8.50
12.00
27.00
6
8.50
8.00
13.00
8.50
7.00
11.00
8.50
8.50
12.00
27.00
Runout (µm)
Single flank composite, total (µm)
Single flank composite, tooth-to-tooth
Radial composite, total (µm)
Radial composite, tooth-to-tooth (µm)
[FrT]
[FisT]
[fisT]
[FidT]
[fidT]
(µm)
21.00
42.00
15.00
36.00
14.00
Axis alignment tolerances (recommendation acc. ISO TR 10064:1992, Quality
Maximum value for deviation error of axis (µm)
[fSigbet]
Maximum value for inclination error of axes (µm)
[fSigdel]
21.00
42.00
15.00
36.00
14.00
6)
12.00 (Fb= 12.00)
24.00
8. ADDITIONAL DATA
Weight - calculated with da (kg)
[Mass]
Total weight (kg)
[Mass]
Moment of inertia (System referenced to wheel 1):
calculation without consideration of the exact tooth shape
single gears
((da+df)/2...di) (kg*m²)
[TraeghMom]
System
((da+df)/2...di) (kg*m²)
[TraeghMom]
Torsional stiffness (MNm/rad)
[cr]
Mean coeff. of friction (acc. Niemann)
[mum]
Wear sliding coef. by Niemann
[zetw]
Gear power loss (kW)
[PVZ]
(Meshing efficiency (%)
[etaz]
0.931
1.898
2.828
0.0005059
0.002393
0.001569
0.5
1.0
0.111
0.923
0.092
98.159)
9. DETERMINATION OF TOOTH FORM
Data for the tooth form calculation :
Data not available.
10. SERVICE LIFE, DAMAGE
Required safety for tooth root
Required safety for tooth flank
[SFmin]
[SHmin]
1.40
1.00
Service life (calculated with required safeties):
System service life (h)
[Hatt]
Tooth root service life (h)
Tooth flank service life (h)
1123
[HFatt]
[HHatt]
1.168e+004
1123
Damage calculated on basis of required service life
[H] ( 20000.0 h)
F1%
F2%
H1%
H2%
171.26
569.70
1781.14
983.07
Damage calculated on basis of system service life
[Hatt] ( 1122.9 h)
F1%
9.62
REMARKS:
9/10
F2%
31.99
H1%
100.00
H2%
55.19
3511
2034
-
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 thickness
deviation 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..
- Calculation of Zbet according Corrigendum 1 ISO 6336-2:2008 with Zbet = 1/(COS(beta)^0.5)
- 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
- For the coefficients ZL, ZV, ZR, ZW, ZX, YdrelT, YRrelT and YX, the logarithmically interpolated value taken from the values for the
fatigue strength and
the static strength based on the number of load cycles is used..
End of Report
10/10
lines:
514
For Everyone Who Want to Make a Better World
File
Name
:
Unnamed
Changed by:
Maruti
on: 31.05.2016
at: 23:20:12
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:
1.0 m/s <= v(=0.4 m/s) <= 50.0 m/s
CALCULATION OF A HELICAL GEAR PAIR
Drawing or article number:
Gear 1:
0.000.0
Gear 2:
0.000.0
Calculation method
ISO 6336:2006 Method B
------- GEAR 1 -------- GEAR 2 --
Power (kW)
Speed (1/min)
Torque (Nm)
Application factor
Required service life (h)
Gear driving (+) / driven (-)
Working flank gear 1: Right flank
[P]
[n]
[T]
[KA]
[H]
5.000
100.0
477.5
66.7
716.2
1.25
+
20000.00
-
1. TOOTH GEOMETRY AND MATERIAL
(geometry calculation according to
DIN 3960:1987)
------- GEAR 1 -------- GEAR 2 -Center distance (mm)
[a]
91.500
Centre distance tolerance
ISO 286:2010 Measure js7
Normal module (mm)
[mn]
3.5000
Pressure angle at normal section (°)
[alfn]
20.0000
Helix angle at reference circle (°)
[beta]
15.0000
Number of teeth
[z]
20
30
Facewidth (mm)
[b]
23.00
23.00
Hand of gear
right
left
Accuracy grade
[Q-ISO 1328:1995]
6
6
Inner diameter (mm)
[di]
0.00
0.00
Inner diameter of gear rim (mm)
[dbi]
0.00
0.00
Material
Gear 1:
Gear 2:
1/10
18CrNiMo7-6, Case-carburized steel, case-hardened
ISO 6336-5 Figure 9/10 (MQ), core strength >=25HRC Jominy J=12mm<HRC28
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 61
Material quality according to ISO 6336:2006 Normal (Life factors ZNT and YNT >=0.85)
Fatigue strength. tooth root stress (N/mm²)
[sigFlim]
430.00
430.00
Fatigue strength for Hertzian pressure (N/mm²)
[sigHlim]
1500.00
1500.00
Tensile strength (N/mm²)
[Rm]
1200.00
1200.00
Yield point (N/mm²)
[Rp]
850.00
850.00
Young's modulus (N/mm²)
[E]
206000
206000
Poisson's ratio
[ny]
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 / 0.38 / 1.0 ISO 53.2:1997 Profil A
Dedendum coefficient
[hfP*]
Root radius factor
[rhofP*]
Addendum coefficient
[haP*]
Tip radius factor
[rhoaP*]
Protuberance height factor
[hprP*]
Protuberance angle
[alfprP]
Tip form height coefficient
[hFaP*]
Ramp angle
[alfKP]
1.250
0.380 (rhofPmax*= 0.472)
1.000
0.000
0.000
0.000
0.000
0.000
not topping
Gear reference profile
2:
Reference profile
1.25 / 0.38 / 1.0 ISO 53.2:1997 Profil A
Dedendum coefficient
[hfP*]
Root radius factor
[rhofP*]
Addendum coefficient
[haP*]
Tip radius factor
[rhoaP*]
Protuberance height factor
[hprP*]
Protuberance angle
[alfprP]
Tip form height coefficient
[hFaP*]
Ramp angle
[alfKP]
1.250
0.380 (rhofPmax*= 0.472)
1.000
0.000
0.000
0.000
0.000
0.000
not topping
Summary of reference profile gears:
Dedendum reference profile
Tooth root radius Refer. profile
Addendum Reference profile
Protuberance height factor
Protuberance angle (°)
Tip form height coefficient
Ramp angle (°)
[hfP*]
[rofP*]
[haP*]
[hprP*]
[alfprP]
[hFaP*]
[alfKP]
1.250
0.380
1.000
0.000
0.000
0.000
0.000
1.250
0.380
1.000
0.000
0.000
0.000
0.000
Type of profile modification:
none (only running-in)
Tip relief (µm)
[Ca]
2.0
2.0
Lubrication type
Type of oil
Lubricant base
Kinem. viscosity
2/10
oil bath lubrication
Oil: ISO-VG 220
Mineral-oil base
oil at
40 °C (mm²/s)
[nu40]
220.00
Kinem. viscosity
oil at 100 °C (mm²/s)
FZG test A/8.3/90 (
ISO 14635-1:2006)
Specific density at 15 °C (kg/dm³)
Oil temperature (°C)
[nu100]
[FZGtestA]
[roOil]
[TS]
17.50
12
0.895
70.000
Working pressure angle at normal section (°)
Helix angle at operating pitch circle (°)
Base helix angle (°)
Reference centre distance (mm)
Sum of profile shift coefficients
Profile shift coefficient
Tooth thickness (Arc) (module) (module)
------- GEAR 1 -------- GEAR 2 -[itot]
-1.500
[u]
1.500
[mt]
3.623
[alft]
20.647
[alfwt]
22.115
[alfwt.e/i]
22.142 /
22.088
[alfwn]
21.418
[betaw]
15.144
[betab]
14.076
[ad]
90.587
[Summexi]
0.2699
[x]
0.2431
0.0268
[sn*]
1.7478
1.5903
Tip alteration (mm)
Reference diameter (mm)
Base diameter (mm)
Tip diameter (mm)
(mm)
Tip diameter allowances (mm)
Tip form diameter (mm)
(mm)
Active tip diameter (mm)
Active tip diameter (mm)
Operating pitch diameter (mm)
(mm)
Root diameter (mm)
Generating Profile shift coefficient
Manufactured root diameter with xE (mm)
Theoretical tip clearance (mm)
Effective tip clearance (mm)
Active root diameter (mm)
(mm)
Root form diameter (mm)
(mm)
Reserve (dNf-dFf)/2 (mm)
Addendum (mm)
(mm)
Dedendum (mm)
(mm)
Roll angle at dFa (°)
Roll angle to dNa (°)
Roll angle to dNf (°)
Roll angle at dFf (°)
Tooth height (mm)
Virtual gear
no. of teeth
Normal-tooth thickness at tip circle (mm)
(mm)
Normal-tooth thickness on tip form circle (mm)
(mm)
Normal space width at root circle (mm)
[k*mn]
-0.031
[d]
72.469
[db]
67.815
[da]
81.109
[da.e/i]
81.109 /
81.099
[Ada.e/i]
0.000 /
-0.010
[dFa]
81.109
[dFa.e/i]
81.109 /
81.099
[dNa]
81.109
[dNa.e/i]
81.109 /
81.099
[dw]
73.200
[dw.e/i]
73.214 /
73.186
[df]
65.421
[xE.e/i]
0.2156/
0.1999
[df.e/i]
65.229 /
65.119
[c]
0.875
[c.e/i]
1.048 /
0.953
[dNf]
69.144
[dNf.e/i]
69.166 /
69.126
[dFf]
68.627
[dFf.e/i]
68.546 /
68.501
[cF.e/i]
0.333 /
0.290
[ha=mn*(haP*+x+k)]
4.320
[ha.e/i]
4.320 /
4.315
[hf=mn*(hfP*-x)]
3.524
[hf.e/i]
3.620 /
3.675
[xsi_dFa.e/i]
37.594 /
37.578
[xsi_dNa.e/i]
37.594 /
37.578
[xsi_dNf.e/i]
11.497 /
11.322
[xsi_dFf.e/i]
8.434 /
8.171
[H]
7.844
[zn]
22.007
[san]
2.205
[san.e/i]
2.133 /
2.083
[sFan]
2.205
[sFan.e/i]
2.133 /
2.083
[efn]
0.000
Overall transmission ratio
Gear ratio
Transverse module (mm)
Pressure angle at pitch circle (°)
Working transverse pressure angle (°)
3/10
-0.031
108.704
101.722
115.830
115.830 / 115.820
0.000 /
-0.010
115.830
115.830 / 115.820
115.830
115.830 / 115.820
109.800
109.821 / 109.779
100.142
-0.0007/
-0.0164
99.949 /
99.839
0.875
1.048 /
0.953
104.607
104.633 / 104.585
103.483
103.384 / 103.329
0.652 /
0.600
3.563
3.563 /
3.558
4.281
4.377 /
4.432
31.204 /
31.193
31.204 /
31.193
13.805 /
13.690
10.401 /
10.225
7.844
33.011
2.623
2.553 /
2.506
2.623
2.553 /
2.506
0.000
(mm)
Max. sliding velocity at tip (m/s)
Specific sliding at the tip
Specific sliding at the root
Mean specific sliding
Sliding factor on tip
Sliding factor on root
Pitch on reference circle (mm)
Base pitch (mm)
Transverse pitch on contact-path (mm)
Lead height (mm)
Axial pitch (mm)
Length of path of contact (mm)
Length T1-A, T2-A (mm)
Length T1-B (mm)
Length T1-C (mm)
Length T1-D (mm)
Length T1-E (mm)
Length T1-T2 (mm)
Diameter of single contact point B (mm)
Diameter of single contact point D (mm)
Addendum contact ratio
Minimal length of contact line (mm)
[efn.e/i]
[vga]
[zetaa]
[zetaf]
[zetam]
[Kga]
[Kgf]
[pt]
[pbt]
[pet]
[pz]
[px]
[ga, e/i]
[T1A, T2A]
[T1B, T2B]
[T1C, T2C]
[T1D, T2D]
[T1E, T2E]
[T1T2]
[d-B]
[d-D]
[eps]
[Lmin]
Transverse contact ratio
Transverse contact ratio with allowances
Overlap ratio
Total contact ratio
Total contact ratio with allowances
[eps_a]
[eps_a.e/m/i]
[eps_b]
[eps_g]
[eps_g.e/m/i]
0.000 /
0.000
0.000 /
0.000
0.148
0.123
0.634
0.635
-1.737
-1.736
0.635
0.386
0.320
-0.320
-0.386
11.383
10.652
10.652
849.673
1274.509
42.484
15.501 ( 15.548 /
15.435)
6.747(
6.700/
6.804)
27.700( 27.700/ 27.689)
11.596( 11.596/ 11.586)
22.851( 22.805/ 22.907)
13.779( 13.760/ 13.797)
20.668( 20.640/ 20.696)
17.399( 17.353/ 17.456)
17.047( 17.047/ 17.037)
22.248( 22.248/ 22.239)
12.199( 12.152/ 12.254)
34.447 ( 34.400 /
34.493)
71.670( 71.670/ 71.665) 111.517( 111.479/ 111.563)
76.222( 76.179/ 76.274) 107.284( 107.284/ 107.277)
0.795(
0.797/
0.792)
0.660(
0.663/
0.657)
23.712
1.455
1.460 / 1.454 / 1.449
0.541
1.997
2.001 / 1.996 / 1.990
2. FACTORS OF GENERAL INFLUENCE
Nominal circum. force at pitch circle (N)
Axial force (N)
Radial force (N)
Normal force (N)
Nominal circumferential force per mm (N/mm)
Only as information: Forces at operating pitch circle:
Nominal circumferential force (N)
Axial force (N)
Radial force (N)
Circumferential speed reference circle (m/s)
Circumferential speed operating pitch circle (m/s)
[Ft]
[Fa]
[Fr]
[Fnorm]
[w]
[Ftw]
[Faw]
[Frw]
[v]
[v(dw)]
Running-in value (µm)
Running-in value (µm)
Correction coefficient
Gear body coefficient
Reference profile coefficient
Material coefficient
Singular tooth stiffness (N/mm/µm)
Meshing stiffness (N/mm/µm)
Meshing stiffness (N/mm/µm)
Reduced mass (kg/mm)
4/10
[yp]
[yf]
[CM]
[CR]
[CBS]
[E/Est]
[c']
[cgalf]
[cgbet]
[mRed]
------- GEAR 1 -------- GEAR 2 -13177.0
3530.8
4965.2
14517.4
572.91
13045.5
3530.8
5301.2
0.38
0.38
0.6
0.6
0.800
1.000
0.975
1.000
12.696
17.030
14.476
0.01305
Resonance speed (min-1)
[nE1]
Resonance ratio (-)
[N]
Subcritical range
Running-in value (µm)
[ya]
Bearing distance l of pinion shaft (mm)
[l]
Distance s
of pinion shaft (mm)
[s]
Outside diameter of pinion shaft (mm)
[dsh]
Load in accordance with Figure 13, ISO 6336-1:2006
[-]
0:a), 1:b), 2:c), 3:d), 4:e)
Coefficient K' according to Figure 13, ISO 6336-1:2006
[K']
Without support effect
Tooth trace deviation (active) (µm)
[Fby]
from deformation of shaft (µm)
[fsh*B1]
(fsh (µm) = 5.94, B1= 1.00, fHb5 (µm) = 6.00)
Tooth without tooth trace modification
Position of Contact pattern: favorable
from production tolerances (µm)
[fma*B2]
(B2=
1.00)
Tooth trace deviation, theoretical (µm)
[Fbx]
Running-in value (µm)
[yb]
Dynamic factor
17251
0.006
0.6
46.000
4.600
23.000
4
-1.00
3.61
5.94
12.02
4.25
0.64
[KV]
1.002
flank
Tooth root
Scuffing
[KHb]
[KFb]
[KBb]
1.036
1.025
1.036
Transverse load factor - flank
- Tooth root
- Scuffing
[KHa]
[KFa]
[KBa]
1.000
1.000
1.000
Helical load factor scuffing
[Kbg]
1.000
Number of load cycles (in mio.)
[NL]
Face load factor -
120.000
80.000
3. TOOTH ROOT STRENGTH
Calculation of Tooth form coefficients according method: B
------- GEAR 1 -------- GEAR 2 -Calculated with profile shift
[x]
0.24
Tooth form factor
[YF]
1.38
Stress correction factor
[YS]
2.03
Working angle (°)
[alfFen]
21.96
Bending lever arm (mm)
[hF]
3.61
Tooth thickness at root (mm)
[sFn]
7.36
Tooth root radius (mm)
[roF]
1.71
(hF* = 1.030/ 1.120 sFn* = 2.103/ 2.100 roF* = 0.488/ 0.534 dsFn = 66.683/ 101.557 alfsFn =
0.03
1.52
1.90
20.57
3.92
7.35
1.87
30.00/ 30.00)
Helix angle factor
Deep tooth factor
Gear rim factor
Effective facewidth (mm)
Nominal stress at tooth root (N/mm²)
Tooth root stress (N/mm²)
1.00
23.00
441.52
566.80
5/10
[Ybet]
[YDT]
[YB]
[beff]
[sigF0]
[sigF]
0.932
1.000
1.00
23.00
428.36
549.90
Permissible bending stress at root of Test-gear
Notch sensitivity factor
[YdrelT]
Surface factor
[YRrelT]
size factor (Tooth root)
[YX]
Finite life factor
[YNT]
[YdrelT*YRrelT*YX*YNT]
Alternating bending factor (mean stress influence coefficient)
[YM]
Stress correction factor
[Yst]
Yst*sigFlim (N/mm²)
[sigFE]
Permissible tooth root stress (N/mm²)
[sigFP=sigFG/SFmin]
Limit strength tooth root (N/mm²)
[sigFG]
Required safety
[SFmin]
Safety for Tooth root stress
[SF=sigFG/sigF]
Transmittable power (kW)
[kWRating]
0.997
0.957
1.000
0.929
0.886
0.995
0.957
1.000
0.936
0.891
1.000
1.000
2.00
860.00
544.00
761.59
1.40
1.38
4.95
860.00
547.38
766.33
1.40
1.35
4.83
4. SAFETY AGAINST PITTING (TOOTH FLANK)
Zone factor
Elasticity coefficient (√N/mm)
Contact ratio factor
Helix angle factor
Effective facewidth (mm)
Nominal flank pressure (N/mm²)
Surface pressure at operating pitch circle (N/mm²)
Single tooth contact factor
Flank pressure (N/mm²)
[ZH]
[ZE]
[Zeps]
[Zbet]
[beff]
[sigH0]
------- GEAR 1 -------- GEAR 2 -2.335
189.812
0.872
1.017
23.00
1427.99
[sigHw]
[ZB,ZD]
[sigHB, sigHD]
1626.87
1.02
1654.26
1.00
1626.87
[ZL]
1.020
[ZV]
0.945
[ZR]
0.958
[ZW]
1.000
[ZNT]
0.974
[ZL*ZV*ZR*ZNT]
0.899
Small no. of pittings permissible:
no
Size factor (flank)
[ZX]
1.000
Permissible surface pressure (N/mm²)
[sigHP=sigHG/SHmin] 1348.97
Limit strength pitting (N/mm²)
[sigHG]
1348.97
Required safety
[SHmin]
1.00
Safety for surface pressure at operating pitch circle
[SHw]
0.83
Safety for stress at single tooth contact
[SHBD=sigHG/sigHBD]
0.82
(Safety regarding transmittable torque)
[(SHBD)^2]
0.66
Transmittable power (kW)
[kWRating]
3.32
1.020
0.945
0.958
1.000
0.986
0.911
Lubrication coefficient at NL
Speed coefficient at NL
Roughness coefficient at NL
Work hardening factor at NL
Finite life factor
4b. MICROPITTING ACCORDING TO
ISO/TR 15144-1:2014
Calculation did not run. (Lubricant: Load stage micropitting test is unknown.)
6/10
1.000
1365.85
1365.85
1.00
0.84
0.84
0.70
3.52
5. STRENGTH AGAINST SCUFFING
Calculation method according to
ISO TR 13989:2000
Lubrication coefficient (for lubrication type)
Multiple meshing factor
Relative structure coefficient (Scuffing)
Thermal contact factor (N/mm/s^.5/K)
Relevant tip relief (µm)
Optimal tip relief (µm)
Ca taken as optimal in the calculation (0=no, 1=yes)
Effective facewidth (mm)
Applicable circumferential force/facewidth (N/mm)
(Kbg =
1.000, wBt*Kbg = 743.615)
Angle factor
(ε1:0.795, ε2:0.660)
[XS]
[Xmp]
[XWrelT]
[BM]
[Ca]
[Ceff]
1.000
1.000
1.000
13.780
2.00
13.780
2.00
42.05
0
0
[beff]
23.000
[wBt]
743.615
[Xalfbet]
1.002
Flash temperature-criteria
Lubricant factor
Tooth mass temperature (°C)
theM = theoil + XS*0.47*Xmp*theflm
Scuffing temperature (°C)
Coordinate gamma (point of highest temp.)
[Gamma.A]=-0.510 [Gamma.E]=0.615
Highest contact temp. (°C)
Flash factor (°K*N^-.75*s^.5*m^-.5*mm)
Approach factor
Load sharing factor
Dynamic viscosity (mPa*s)
Coefficient of friction
Required safety
Safety factor for scuffing (flash temperature)
[XL]
[theMi]
[theflm]
[theS]
[Gamma]
0.830
78.98
19.12
348.80
0.615
[theB]
[XM]
[XJ]
[XGam]
[etaM]
[mym]
[SBmin]
[SB]
109.50
50.058
1.000
0.387
41.90 ( 70.0 °C)
0.122
2.000
7.057
Integral temperature-criteria
Lubricant factor
Tooth mass temperature (°C)
theM-C = theoil + XS*0.70*theflaint
Integral scuffing temperature (°C)
Flash factor (°K*N^-.75*s^.5*m^-.5*mm)
Running-in factor (well run in)
Contact ratio factor
Dynamic viscosity (mPa*s)
Mean coefficient of friction
Geometry factor
Meshing factor
Tip relief factor
Integral tooth flank temperature (°C)
Required safety
Safety factor for scuffing (intg.-temp.)
Safety referring to transferred torque
[XL]
[theM-C]
[theflaint]
[theSint]
[XM]
[XE]
[Xeps]
[etaOil]
[mym]
[XBE]
[XQ]
[XCa]
[theint]
[SSmin]
[SSint]
[SSL]
1.000
82.29
17.56
360.78
50.058
1.000
0.273
41.90 ( 70.0 °C)
0.133
0.371
1.000
1.088
108.62
1.800
3.321
7.529
6. MEASUREMENTS FOR TOOTH THICKNESS
------- GEAR 1 -------- GEAR 2 --
7/10
Tooth thickness deviation
Tooth thickness allowance (normal section) (mm)
DIN 3967 cd25 DIN 3967 cd25
[As.e/i]
-0.070 / -0.110
Number of teeth spanned
Base tangent length (no backlash) (mm)
Actual base tangent length ('span') (mm)
(mm)
Diameter of contact point (mm)
[k]
[Wk]
[Wk.e/i]
[ΔWk.e/i]
[dMWk.m]
Theoretical diameter of ball/pin (mm)
[DM]
Eff. Diameter of ball/pin (mm)
[DMeff]
Theor. dim. centre to ball (mm)
[MrK]
Actual dimension centre to ball (mm)
[MrK.e/i]
Diameter of contact point (mm)
[dMMr.m]
Diametral measurement over two balls without clearance (mm)
[MdK]
Actual dimension over balls (mm)
[MdK.e/i]
Diametral measurement over rolls without clearance (mm)
[MdR]
Actual dimension over rolls (mm)
[MdR.e/i]
-0.070 /
3.000
4.000
27.495
37.851
27.430 / 27.392 37.785 / 37.748
-0.066 /
-0.103 -0.066 /
-0.103
72.841
108.117
6.362
5.977
6.500
6.000
41.836
58.574
41.765 / 41.724 58.490 / 58.441
74.212
108.741
83.672
117.149
83.529 / 83.447 116.980 / 116.883
83.672
117.149
83.529 / 83.447 116.980 / 116.883
Chordal tooth thickness (no backlash) (mm)
Actual chordal tooth thickness (mm)
Reference chordal height from da.m (mm)
Tooth thickness (Arc) (mm)
(mm)
['sn]
['sn.e/i]
[ha]
[sn]
[sn.e/i]
Backlash free center distance (mm)
Backlash free center distance, allowances (mm)
dNf.i with aControl (mm)
Reserve (dNf0.i-dFf.e)/2 (mm)
Tip clearance
Centre distance allowances (mm)
[aControl.e/i]
[jta]
[dNf0.i]
[cF0.i]
[c0.i(aControl)]
[Aa.e/i]
Circumferential backlash from Aa (mm)
Radial clearance (mm)
Circumferential backlash (transverse section) (mm)
[jtw_Aa.e/i]
0.014 /
[jrw]
0.303 /
[jtw]
0.244 /
0.132
0.2549 / 0.1379
0.222 /
0.120
Rotation angle when gear 1 is fixed (°)
Normal backlash (mm)
6.111
6.041 /
6.001
4.438
6.117
6.047 /
6.007
[jnw]
-0.110
5.564
5.454
3.627
5.566
5.496 /
5.456
5.494 /
91.319 / 91.214
-0.181 /
-0.286
68.861
104.260
0.158
0.438
0.685
0.685
0.018 /
-0.018
-0.014
0.164
7. GEAR ACCURACY
------- GEAR 1 -------- GEAR 2 -According to ISO 1328:1995
Accuracy grade
Single pitch deviation (µm)
Base circle pitch deviation (µm)
Sector pitch deviation over k/8 pitches (µm)
Profile form deviation (µm)
Profile slope deviation (µm)
Total profile deviation (µm)
Helix form deviation (µm)
Helix slope deviation (µm)
Total helix deviation (µm)
Total cumulative pitch deviation (µm)
8/10
[Q-ISO1328]
[fptT]
[fpbT]
[Fpk/8T]
[ffaT]
[fHaT]
[FaT]
[ffbT]
[fHbT]
[FbT]
[FpT]
6
8.50
8.00
12.00
8.50
7.00
11.00
8.50
8.50
12.00
27.00
6
8.50
8.00
13.00
8.50
7.00
11.00
8.50
8.50
12.00
27.00
Runout (µm)
Single flank composite, total (µm)
Single flank composite, tooth-to-tooth
Radial composite, total (µm)
Radial composite, tooth-to-tooth (µm)
[FrT]
[FisT]
[fisT]
[FidT]
[fidT]
(µm)
21.00
42.00
15.00
36.00
14.00
Axis alignment tolerances (recommendation acc. ISO TR 10064:1992, Quality
Maximum value for deviation error of axis (µm)
[fSigbet]
Maximum value for inclination error of axes (µm)
[fSigdel]
21.00
42.00
15.00
36.00
14.00
6)
12.00 (Fb= 12.00)
24.00
8. ADDITIONAL DATA
Weight - calculated with da (kg)
[Mass]
Total weight (kg)
[Mass]
Moment of inertia (System referenced to wheel 1):
calculation without consideration of the exact tooth shape
single gears
((da+df)/2...di) (kg*m²)
[TraeghMom]
System
((da+df)/2...di) (kg*m²)
[TraeghMom]
Torsional stiffness (MNm/rad)
[cr]
Mean coeff. of friction (acc. Niemann)
[mum]
Wear sliding coef. by Niemann
[zetw]
Gear power loss (kW)
[PVZ]
(Meshing efficiency (%)
[etaz]
0.931
1.898
2.828
0.0005059
0.002393
0.001569
0.5
1.0
0.111
0.923
0.092
98.159)
9. DETERMINATION OF TOOTH FORM
Data for the tooth form calculation :
Data not available.
10. SERVICE LIFE, DAMAGE
Required safety for tooth root
Required safety for tooth flank
[SFmin]
[SHmin]
1.40
1.00
Service life (calculated with required safeties):
System service life (h)
[Hatt]
Tooth root service life (h)
Tooth flank service life (h)
1123
[HFatt]
[HHatt]
1.168e+004
1123
Damage calculated on basis of required service life
[H] ( 20000.0 h)
F1%
F2%
H1%
H2%
171.26
569.70
1781.14
983.07
Damage calculated on basis of system service life
[Hatt] ( 1122.9 h)
F1%
9.62
REMARKS:
9/10
F2%
31.99
H1%
100.00
H2%
55.19
3511
2034
-
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 thickness
deviation 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..
- Calculation of Zbet according Corrigendum 1 ISO 6336-2:2008 with Zbet = 1/(COS(beta)^0.5)
- 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
- For the coefficients ZL, ZV, ZR, ZW, ZX, YdrelT, YRrelT and YX, the logarithmically interpolated value taken from the values for the
fatigue strength and
the static strength based on the number of load cycles is used..
End of Report
10/10
lines:
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