KISSsoft Release 03/2017
Team-SolidSQUAD
File
Name : Unnamed
Changed by: ravi on: 11.04.2019 at: 20:37:50
Important hint: At least one warning has occurred during the calculation:
1-> Important notice:
AGMA 6135 is valid for globoidal worm with globoidal worm wheel.
This simple calculation method gives only a rough indication for the transmitted power. The method only covers worms in steel and worm
wheels in bronze. Please note the indications in AGMA 6135.
For more accurate calculations we recommend the method according to ISO 14521.
WORM GEAR ANALYSIS
Drawing or article number:
Worm: 0.000.0
Gear: 0.000.0
Calculation method AGMA 6135-A02 (Enveloping worm)
(Geometry: ISO TR 14521:2010)
Geometry calculation from axial module
------- WORM---------------- WHEEL ----
Worm driving
Working flank gear 1: Right flank
Power (kW) [P] 12.477 10.661
Speed (1/min) [n] 1800.0 72.0
Torque (Nm) [TN] 66.195 1414.000
Torque (Nm) [T] 82.744 1767.500
Application factor [KA] 1.25
Required service life [H] 20000.00
Number of starts (1/h) [Ns] 1.00
1. TOOTH GEOMETRY AND MATERIAL
Shape of flank: ZK (ISO/DTR 10828.2:2011)
------- WORM---------------- WHEEL ----
Center distance (mm) [a] 104.000
Centre distance tolerance ISO 286:2010 Measure js7
Shaft angle (°) [Sigma] 90.0000
Transverse module (mm) [mt] 6.4999
Normal module (mm) [mn] 6.4346
Axial module (mm) [mx] 6.4999
Pressure angle at normal section (°) [alfn] 20.0000
Mean lead angle (°) [gamma] 8.1295
Hand of gear right right
Number of teeth [z] 1 25
Facewidth (mm) [b1] 83.00
Wheel rim width b2R (mm) [b2R] 43.40
Wheel width b2H (mm) [b2H] 43.40
Facewidth for calculation (mm) [b1, b2] 83.00 37.34
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Accuracy grade (manufacturing) [Vqual] 6 7
Internal diameter gearbody (mm) [di] 0.00 0.00
Material
Worm: 18CrNiMo7-6, Case-carburized steel, case-hardened
ISO 6336-5 Figure 9/10 (MQ), Core hardness >=25HRC Jominy J=12mm<HRC28
Gear 2: (Eigene Eingabe) CuSn12-C-GZ, Bronze, untreated
DIN 3996:2005
------- WORM---------------- WHEEL ----
Surface hardness HRC 61 HBW 95
Pulsating shear strength (N/mm²) [τFlim] 430.00 92.00
Fatigue strength for Hertzian pressure (N/mm²) [σHlim] 1500.00 425.00
Material Coefficient YW [YW] 1.00
Material lubrication coefficient [WML_Min] 1.60
Tensile strength (N/mm²) [σB] 1200.00 280.00
Yield point (N/mm²) [σS] 850.00 150.00
Young's modulus (N/mm²) [E] 206000 88300
Poisson's ratio [ν] 0.300 0.350
Roughness average value DS, flank (µm) [RAH] 0.60 1.30
Roughness average value DS, root (µm) [RAF] 3.00 1.30
Mean roughness height, Rz, flank (µm) [RZH] 4.80 0.00
Mean roughness height, Rz, root (µm) [RZF] 20.00 0.00
Gear reference profile 1:
Reference profile 1.25 / 0.38 / 1.0 ISO 53:1998 Profil A
Dedendum coefficient [hfP*] 1.250
Root radius factor [rhofP*] 0.380 (rhofPmax*= 0.472)
Addendum coefficient [haP*] 1.000
Tip radius factor [rhoaP*] 0.000
Protuberance height coefficient [hprP*] 0.000
Protuberance angle [alfprP] 0.000
Tip form height coefficient [hFaP*] 0.000
Ramp angle [alfKP] 0.000
not topping
Gear reference profile 2:
Reference profile 1.25 / 0.38 / 1.0 ISO 53:1998 Profil A
Dedendum coefficient [hfP*] 1.250
Root radius factor [rhofP*] 0.380 (rhofPmax*= 0.472)
Addendum coefficient [haP*] 1.000
Tip radius factor [rhoaP*] 0.000
Protuberance height coefficient [hprP*] 0.000
Protuberance angle [alfprP] 0.000
Tip form height coefficient [hFaP*] 0.000
Ramp angle [alfKP] 0.000
not topping
Summary of reference profile gears:
Dedendum reference profile [hfP*] 1.250 1.250
Tooth root radius Refer. profile [rofP*] 0.380 0.380
Addendum Reference profile [haP*] 1.000 1.000
Protuberance height coefficient [hprP*] 0.000 0.000
Protuberance angle (°) [alfprP] 0.000 0.000
Tip form height coefficient [hFaP*] 0.000 0.000
Ramp angle (°) [alfKP] 0.000 0.000
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Type of profile modification: none (only running-in)
Tip relief (µm) [Ca] 0.0 0.0
Lubrication type Oil bath lubrication
Type of oil Oil: ISO-VG 220
Lubricant base Mineral-oil base
Kinem. viscosity oil at 40 °C (mm²/s) [nu40] 220.00
Kinem. viscosity oil at 100 °C (mm²/s) [nu100] 17.50
Specific density at 15 °C (kg/dm³) [roOil] 0.895
Oil temperature (°C) [TS] 117.998
Ambient temperature (°C) [TU] 20.000
------- WORM---------------- WHEEL ----
Generating angle (°) [alfa0] 20.000
Pressure angle at normal section (°) [alfn] 20.000
Indications for the manufacture of the worm wheel according to ISO 14521:
(Only valid for worm wheels which are manufactured with a hob similar to the worm.)
Mean lead angle of the worm (°) [gamma] 8.1295
Transverse module (mm) [mt] 6.4999
Reference diameter (mm) [d] 162.497
Reference operating diameter (mm) [dm] 162.497
Throat radius (mm) [rk] 16.251
Throat center distance (mm) [a_rk] 104.000
Facewidth chamfer angle (°) [theta] 0.0000
Chamfering center distance (mm) [a_theta] 104.000
External diameter (mm) [de] 181.997
Tip diameter (mm) [da] 175.497
Profile shift coefficient [x-worm] 0.0000
Pitch on reference circle (mm) [p2] 20.420
Indications for the manufacture of the worm wheel as a cylindrical gear
(This specification is only a suggestion. It is necessary to do a calculation of the exact geometry using the crossed-helical
calculation!)
Pressure angle at Transverse section (°) [alft] ( 68.768) 20.187
Pressure angle at axial section (°) [alfx] ( 20.187) 68.768
Helix angle at reference circle (°) [beta] ( 81.871) 8.129
Lead angle at reference diameter (°) [gamma] ( 8.129) 81.871
Transverse module (mm) [mt] ( 45.503) 6.500
Axial module (mm) [mx] ( 6.500) 45.503
Helix angle at operating pitch circle (°) [betas] ( 81.871) 8.129
Operating pitch diameter (mm) [dw] ( 45.503) 162.497
Profile shift coefficient [x-DIN3960] ( 0.0000) 0.0000
Overall transmission ratio [itot] -25.000
Gear ratio [u] 25.000
Base helix angle (°) [betab] 7.636
Reference centre distance (mm) [ad] 104.000
Diametral factor q [q] 7.001
Sum of profile shift coefficients [Summexi] 0.0000
Profile shift coefficient [x-worm] 0.0000 0.0000
Profile shift (x*m) (mm) [x*mx] 0.0000 0.0000
(The profile shift is related to the axial module of the worm subject to ISO TR 14521:2010/DIN 3975:2002. )
Tip alteration (mm) [k*mn] 0.000 0.000
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Theoretical tip clearance (mm) [c] 1.625 1.625
Effective tip clearance (mm) [c.e/i] 2.006/ 1.883 1.730/ 1.607
Reference operating diameter (mm) [dm] 45.503 162.497
Reference diameter (mm) [d] 162.497
Base diameter (mm) [db] 152.516
Tip diameter (mm) [da] 58.503 175.497
Tip form diameter (mm) [dFa] 58.503 175.497
(mm) [dFa.e/i] 58.503/ 58.493 175.497/ 175.487
Tip diameter allowances (mm) [Ada.e/i] 0.000/ -0.010 0.000/ -0.010
Root diameter (mm) [df] 29.253 146.248
Generating Profile shift coefficient [xE.e/i] -0.0424/ -0.0552
Manufactured root diameter with xE (mm) [df.e/i] 29.253/ 29.088 145.696/ 145.530
Lead height (mm) [pz] 20.420
Axial pitch (mm) [px] 20.420
Tip diameter of tool (mm) [daS0] 58.503
Tool grinding wheel diameter (mm) [dmS0] 42.253
2. FACTORS OF GENERAL INFLUENCE
------- WORM---------------- WHEEL ----
Nominal circum. force at pitch circle (N) [Ft] 2486.0 17403.4
Axial force (N) [Fa] -17403.4 -2486.0
Radial force (N) [Fr] 5532.4 -5532.4
Normal force (N) [Fn] 16197.3
Circumferential speed reference circle (m/s) [v] 4.289 0.613
Sliding velocity an mean circle (m/s) [vgm] 4.332
Mean tooth friction number [mu] 0.0224
Tooth friction angle (°) [roz] 1.284
Meshing efficiency (%) [etaz] 85.445 (AGMA6034)
Mesh loss power (kW) [PVZ] 1.734
3. TRANSMISSABLE POWER ACCORDING TO AGMA 6135-A:2002
Basic pressure factor [Zw] 0.672
Ratio correction factor [Zu] 0.742
Face width and material factor [Zm] 0.855
Velocity factor [Zv] 0.294
Input power rating [uniform load ](kW) [P1] 6.741
Input power rating [with shock factor](kW) [P1/KA] 5.393
! Input power ( 10.661) is higher than the admitted power rating !
4. DEFLECTION SAFETY
Following AGMA 6135-A:2002, Annex B (with L = l1, LA = l11)
Bearing distance l1 (mm) [l1] 0.000
Distance l11 (mm) [l11] 0.000
Deflection (mm) [delm] -1.#IO
Boundary value bending (mm) [dellim] 0.109
Safety for deflection [Sdel] -1.#IO
Required safety [Sdelmin] 1.000
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5. ALLOWANCES FOR TOOTH THICKNESS
Tooth thickness deviation
Worm: Worm according Niemann
Gear: Worm wheel according Niemann
------- WORM---------------- WHEEL ----
Tooth thickness allowance (normal section) (mm) [As.e/i] 0.000/ -0.060 -0.199/ -0.259
Backlash free center distance (mm) [aControl] 103.724/ 103.558
Backlash free center distance, allowances (mm) [jta] -0.276/ -0.442
Number of teeth spanned [k] 3.000
Base tangent length (mm) [Wk] 49.808
Actual base tangent length ('span') (mm) [Wk.e/i] 49.621/ 49.565
Diameter of contact point (mm) [dMWk.m] 160.241
Base tangent length (span): Can only be measured, if the worm-wheel is manufactured like a cylindrical gear!
Theoretical diameter of ball/pin (mm) [dm] 10.771 11.013
Effective diameter of ball/pin (mm) [DMeff] 11.000 11.000
Radial single-ball measurement backlash free (mm) [MrK] 88.772
Radial single-ball measurement (mm) [MrK.e/i] 88.536/ 88.464
Diameter of contact point (mm) [dMMr.m] 45.998 162.006
Diametral measurement over two balls without clearance (mm) [MdK] 177.216
Diametral two ball measure (mm) [MdK.e/i] 176.744/ 176.601
Outside diameter of grinding wheel (mm) [daS] 649.989
Set angle of grinding wheel (°) [beta] 8.1295
Theoretical dim. over 3 wires (mm) [Md3R] 60.865
Measurement over 3 pins (mm) [Md3R.e/i] 60.865/ 60.701
Normal tooth thickness (chord) in the reference circle (mm) [sc] 10.107 10.101
(mm) [sc.e/i] 10.107/ 10.047 9.902/ 9.843
Tooth thickness in the transverse section (chord) in the reference circle (mm) ['st] 10.203
(mm) ['st.e/i] 10.003/ 9.943
Tooth thickness in the transverse section (Arc) (mm) [st] 10.210
(mm) [st.e/i] 10.009/ 9.949
Tooth thickness on axial cut (mm) [smx] 10.210
(mm) [smx.e/i] 10.210/ 10.149
Tooth space in axial cut (mm) [emx] 10.210
(mm) [emx.e/i] 10.210/ 10.271
Reference chordal height from da.m (mm) [ham1, ha2] 6.497 6.651
Centre distance allowances (mm) [Aa.e/i] 0.018/ -0.018
Circumferential backlash (transverse section) (mm) [jt] 0.335/ 0.188
Normal backlash (mm) [jn] 0.311/ 0.175
6. GEAR ACCURACY
------- WORM---------------- WHEEL ----
According to DIN 3974:1995:
Accuracy grade [Vqual] 6 7
Single pitch deviation (µm) [fpx, fp2] 10.00 15.00
Adjacent pitch difference (µm) [fux, fu2] 12.00 19.00
5/6
Total deviation of the slope (µm) [Fpz] 12.00
Total cumulative pitch deviation (µm) [Fp2] 55.00
Profile slope deviation (µm) [fHa] 9.00 13.00
Profile form deviation (µm) [ffa] 13.00 19.00
Total profile deviation (µm) [Fa] 16.00 23.00
Runout (µm) [Fr] 21.00 39.00
Single flank composite, total (µm) [Fi'] 32.00 62.00
Single flank composite, tooth-to-tooth (µm) [fi'] 18.00 27.00
7. ADDITIONAL DATA
Weight - calculated with da (kg) [Mass] 0.981 6.653
REMARKS:
- Specifications with [.e/i] imply: Maximum [e] and Minimal value [i] with
consideration of all tolerances
- The specification of circumferential backlash (as well as the backlash-free distance
for the tooth thickness check) is not yet fully checked,
and serves only as a guide.
- The details of the chordal tooth thickness are imprecise and merely an indication
(The calculation is done according to ISO TR 14521:2010/DIN 3975:2002, without taking into account the exact shape of flank.).
End of Report lines: 294
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