Bevel Gears Component Generator Página 1 de 5

Bevel Gears Component Generator (Version: 2011 (Build

150239000, 239))
13/09/2011

Project Info

Guide
Unit Corrections Guide - User
Type of Load Calculation - Power calculation for the specified torque and speed
Type of Strength Calculation - Check Calculation
Method of Strength Calculation - ISO 6336:1996

Common Parameters
Gear Ratio i 1,0000 ul
Tangential Module met 2,000 mm
Helix Angle β 0,0000 deg
Tangential Pressure Angle αt 20,0000 deg
Shaft Angle Σ 90,0000 deg
Normal Pressure Angle at End αne 20,0000 deg

Contact Ratio ε 1,6403 ul

Limit Deviation of Axis Parallelity fx 0,0100 mm

Limit Deviation of Axis Parallelity fy 0,0050 mm

Virtual Gear Ratio iv 1,000 ul

Equivalent Center Distance av 45,269 mm

Virtual Center Distance an 45,269 mm

Pitch Cone Radius Re 28,284 mm
Pitch Cone Radius in Middle Plane Rm 22,634 mm

Gears
Gear 1 Gear 2
Type of model Component Component
Number of Teeth z 20 ul 20 ul
Unit Correction x 0,0000 ul -0,0000 ul
Tangential Displacement xt 0,0000 ul -0,0000 ul
Pitch Diameter at End de 40,000 mm 40,000 mm
Pitch Diameter in Middle Plane dm 32,010 mm 32,010 mm

Outside Diameter at End dae 42,828 mm 42,828 mm

Outside Diameter at Small End dai 25,718 mm 25,718 mm

Root Diameter at End dfe 36,606 mm 36,606 mm

Vertex Distance Ae 18,586 mm 18,586 mm

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Vertex Distance at Small End Ai 11,160 mm 11,160 mm

Pitch Cone Angle δ 45,0000 deg 45,0000 deg
Outside Cone Angle δa 49,0447 deg 49,0447 deg

Root Cone Angle δf 40,1499 deg 40,1499 deg

Facewidth b 11,300 mm
Facewidth Ratio br 0,3995 ul
Addendum a* 1,0000 ul 1,0000 ul
Clearance c* 0,2000 ul 0,2000 ul
Root Fillet rf* 0,3000 ul 0,3000 ul
Whole Depth of Tooth he 4,400 mm 4,400 mm
Tooth Thickness at End se 3,142 mm 3,142 mm
Chordal Thickness tc 2,774 mm 2,774 mm
Chordal Addendum ac 1,495 mm 1,495 mm
Limit Deviation of Helix Angle Fβ 0,0100 mm 0,0100 mm
Limit Circumferential Run-out Fr 0,0160 mm 0,0160 mm
Limit Deviation of Axial Pitch fpt 0,0070 mm 0,0070 mm

Limit Deviation of Basic Pitch fpb 0,0066 mm 0,0066 mm

Equivalent Number of Teeth zv 28,284 ul 28,284 ul

Equivalent Pitch Diameter dv 45,269 mm 45,269 mm
Equivalent Outside Diameter dva 48,470 mm 48,470 mm

Equivalent Base Circle Diameter dvb 42,539 mm 42,539 mm

Unit Correction without Tapering xz 0,1828 ul 0,1828 ul

Unit Correction without Undercut xp -0,6517 ul -0,6517 ul

Unit Correction Allowed Undercut xd -0,8188 ul -0,8188 ul

Addendum Truncation k 0,0000 ul 0,0000 ul
Unit Outside Tooth Thickness sa 0,7320 ul 0,7320 ul

Loads
Gear 1 Gear 2

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Power P 0,002 kW 0,002 kW

Speed n 16,00 rpm 16,00 rpm
Torque T 1,000 N m 0,980 N m
Efficiency η 0,980 ul
Tangential Force Ft 62,481 N
Normal Force Fn 66,491 N
Radial Force (direction 1) Fr1 16,080 N 16,080 N
Radial Force (direction 2) Fr2 16,080 N 16,080 N
Axial Force (direction 1) Fa1 16,080 N 16,080 N
Axial Force (direction 2) Fa2 16,080 N 16,080 N
Circumferential Speed v 0,027 mps
Resonance Speed nE1 51333,492 rpm

Material
Gear 1 Gear 2
User material User material
Ultimate Tensile Strength Su 700 MPa 700 MPa
Yield Strength Sy 340 MPa 340 MPa
Modulus of Elasticity E 206000 MPa 206000 MPa
Poisson's Ratio µ 0,300 ul 0,300 ul
Bending Fatigue Limit σFlim 352,0 MPa 352,0 MPa
Contact Fatigue Limit σHlim 1140,0 MPa 1140,0 MPa
Hardness in Tooth Core JHV 210 ul 210 ul
Hardness in Tooth Side VHV 600 ul 600 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 6,0 ul 6,0 ul
W?hler Curve Exponent for Contact qH 10,0 ul 10,0 ul
Type of Treatment type 2 ul 2 ul

Strength Calculation

Factors of Additional Load

Application Factor KA 1,200 ul

Dynamic Factor KHv 1,001 ul 1,001 ul

Face Load Factor KHβ 3,318 ul 2,410 ul

Transverse Load Factor KHα 1,271 ul 1,414 ul

One-time Overloading Factor KAS 1,000 ul

Factors for Contact

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Elasticity Factor ZE 189,812 ul

Zone Factor ZH 2,495 ul
Contact Ratio Factor Zε 0,887 ul
Bevel Gear Factor Zk 0,850 ul

Single Pair Tooth Contact Factor ZB 1,006 ul 1,006 ul

Life Factor ZN 1,264 ul 1,264 ul

Lubricant Factor ZL 0,962 ul

Roughness Factor ZR 1,000 ul
Speed Factor Zv 0,921 ul
Helix Angle Factor Zβ 1,000 ul
Size Factor ZX 1,000 ul 1,000 ul

Factors for Bending

Form Factor YFa 2,569 ul 2,569 ul

Stress Correction Factor YSa 1,675 ul 1,675 ul

Teeth with Grinding Notches Factor YSag 1,000 ul 1,000 ul

Helix Angle Factor Yβ 1,000 ul

Contact Ratio Factor Yε 0,707 ul

Bevel Gear Factor Yk 1,000 ul

Alternating Load Factor YA 1,000 ul 1,000 ul
Production Technology Factor YT 1,000 ul 1,000 ul

Life Factor YN 1,000 ul 1,000 ul

Notch Sensitivity Factor Yδ 1,252 ul 1,252 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 2,687 ul 2,687 ul

Factor of Safety from Tooth Breakage SF 10,239 ul 10,239 ul

Static Safety in Contact SHst 2,004 ul 2,004 ul

Static Safety in Bending SFst 20,453 ul 20,453 ul
Check Calculation Positive

Summary of Messages

12:38:28 Design: Gear 1: The Unit Correction (x) is less than the Unit Correction without Tapering (xz)
12:38:28 Design: Numbers of teeth are commensurable - shots of the same teeth are taken relatively
regularly
12:38:28 Design: Gear 2: The Unit Correction (x) is less than the Unit Correction without Tapering (xz)

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12:38:28 Design: Calculation indicates design compliance!

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