modulo 6, angulo helice 11.25

8/3/2019 modulo 6, angulo helice 11.25

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Common Parameters

Gear Ratio i 0.4231 ul

Desired Gear Ratio iin 0.4148 ul

Module m 6.000 mm

Helix Angle (11.23) β 11.2500 degPressure Angle α 20.0000 deg

Center Distance aw 339.500 mm

Product Center Distance a 339.524 mm

Total Unit Correction Σx -0.0040 ul

Circular Pitch p 18.850 mm

Base Circular Pitch ptb 18.018 mm

Operating Pressure Angle αw 19.9887 deg

Tangential Pressure Angle αt 20.3599 deg

Tangential Operating Pressure Angle αtw 20.3491 deg

Base Helix Angle β b 10.5635 degTangential Module mt 6.118 mm

Tangential Circular Pitch pt 19.219 mm

Contact Ratio ε 2.7354 ul

Transverse Contact Ratio εα 1.7004 ul

Overlap Ratio εβ 1.0350 ul

Limit Deviation of Axis Parallelity f x 0.0180 mm

Limit Deviation of Axis Parallelity f y 0.0090 mm

Gears

Gear 1 Gear 2

Type of model Component Component

Number of Teeth z 78 ul 33 ul

Unit Correction x 0.0000 ul -0.0040 ul

Pitch Diameter d 477.169 mm 201.879 mm

Outside Diameter da 489.169 mm 213.831 mm

Root Diameter df 462.169 mm 186.831 mm

Base Circle Diameter d b 447.358 mm 189.267 mm

Work Pitch Diameter dw 477.135 mm 201.865 mm

Facewidth b 100.000 mm 100.000 mmFacewidth Ratio br 0.2096 ul 0.4953 ul

Addendum a* 1.0000 ul 1.0000 ul

Clearance c* 0.2500 ul 0.2500 ul

Root Fillet r f * 0.3500 ul 0.3500 ul

Tooth Thickness s 9.425 mm 9.407 mm

Tangential Tooth Thickness st 9.609 mm 9.592 mm



Chordal Thickness tc 8.322 mm 8.307 mm

Chordal Addendum ac 4.485 mm 4.464 mm

Chordal Dimension W 175.199 mm 82.622 mm

Chordal Dimension Teeth zw 10.000 ul 5.000 ul

Dimension Over (Between) Wires M 494.173 mm 218.566 mm

Wire Diameter dM 11.000 mm 11.000 mmLimit Deviation of Helix Angle Fβ 0.0180 mm 0.0170 mm

Limit Circumferential Run-out Fr 0.0390 mm 0.0300 mm

Limit Deviation of Axial Pitch f pt 0.0120 mm 0.0110 mm

Limit Deviation of Basic Pitch f pb 0.0110 mm 0.0100 mm

Virtual Number of Teeth zv 82.294 ul 34.817 ul

Virtual Pitch Diameter dn 493.763 mm 208.900 mm

Virtual Outside Diameter dan 505.763 mm 220.852 mm

Virtual Base Circle Diameter d bn 463.986 mm 196.302 mm

Unit Correction without Tapering xz -1.3554 ul 0.0361 ul

Unit Correction without Undercut x p -3.7936 ul -1.0167 ulUnit Correction Allowed Undercut xd -3.9635 ul -1.1866 ul

Addendum Truncation k 0.0000 ul 0.0000 ul

Unit Outside Tooth Thickness sa 0.7987 ul 0.7482 ul

Tip Pressure Angle αa 23.5602 deg 27.4805 deg

Loads

Gear 1 Gear 2

Power P 96.000 kW 94.080 kW

Speed n 46.04 rpm 108.82 rpm

Torque T 19911.652 N m 8255.677 N m

Efficiency η 0.980 ul

Radial Force Fr 30955.341 N

Tangential Force Ft 83463.366 N

Axial Force Fa 16601.896 N

Normal Force F n 90553.456 N

Circumferential Speed v 1.150 mps

Resonance Speed nE1 1626.587 rpm



Material

Gear 1 Gear 2

DIN 15NiCr6 DIN 15NiCr6

Ultimate Tensile Strength Su 880 MPa 880 MPa

Yield Strength Sy 635 MPa 635 MPaModulus of Elasticity E 206000 MPa 206000 MPa

Poisson's Ratio μ 0.300 ul 0.300 ul

Bending Fatigue Limit σFlim 700.0 MPa 700.0 MPa

Contact Fatigue Limit σHlim 1270.0 MPa 1270.0 MPa

Hardness in Tooth Core JHV 210 ul 210 ul

Hardness in Tooth Side VHV 650 ul 650 ul

Base Number of Load Cycles in Bending NFlim 3000000 ul 3000000 ul

Base Number of Load Cycles in Contact NHlim 100000000 ul 100000000 ul

W?hler Curve Exponent for Bending qF 9.0 ul 9.0 ul

W?hler Curve Exponent for Contact qH 10.0 ul 10.0 ulType of Treatment type 4 ul 4 ul

Strength Calculation

Factors of Additional Load

Application Factor K A 1.200 ul

Dynamic Factor K Hv 1.008 ul 1.008 ul

Face Load Factor K Hβ 1.117 ul 1.089 ul

Transverse Load Factor K Hα 1.000 ul 1.000 ulOne-time Overloading Factor K AS 1.000 ul

Factors for Contact

Elasticity Factor ZE 189.812 ul

Zone Factor ZH 2.456 ul

Contact Ratio Factor Zε 0.767 ul

Single Pair Tooth Contact Factor ZB 1.000 ul 1.000 ul

Life Factor Z N 1.137 ul 1.044 ul

Lubricant Factor ZL 0.967 ul

Roughness Factor ZR 1.000 ul

Speed Factor Zv 0.956 ul

Helix Angle Factor Zβ 0.990 ul

Size Factor ZX 1.000 ul 1.000 ul

Work Hardening Factor ZW 1.000 ul

Factors for Bending



Form Factor YFa 2.229 ul 2.476 ul

Stress Correction Factor YSa 1.798 ul 1.662 ul

Teeth with Grinding Notches Factor YSag 1.000 ul 1.000 ul

Helix Angle Factor Yβ 0.906 ul

Contact Ratio Factor Yε 0.676 ul

Alternating Load Factor YA 1.000 ul 1.000 ulProduction Technology Factor YT 1.000 ul 1.000 ul

Life Factor Y N 1.000 ul 1.000 ul

Notch Sensitivity Factor Y δ 1.173 ul 1.161 ul

Size Factor YX 1.000 ul 1.000 ul

Tooth Root Surface Factor YR 1.000 ul

Results

Factor of Safety from Pitting SH 1.338 ul 1.228 ul

Factor of Safety from Tooth Breakage SF 1.825 ul 1.759 ulStatic Safety in Contact SHst 2.580 ul 2.580 ul

Static Safety in Bending SFst 3.890 ul 3.788 ul

Check Calculation Positive

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modulo 6, angulo helice 11.25