-------------------------------------------------------------- 12-11-2003 Bevel Gearing Component Wizard (Version 4.2.1026) -------------------------------------------------------------- --- Guide Cone Height of Teeth - ISO Strength calculation: Strength check calculation Distribution of Correction: User Load calculation: Calculates the torque according to the power and speed --- Basic Parameters Gear Ratio = 1 Tangential Pressure Angle alpha = 20° Addendum a* = 1 (= 2 mm) Clearance c* = 0.2 (= 0.4 mm) Root Fillet = 0.304 (= 0.608 mm) Addendum of Basic Rack = 1.2 (= 2.4 mm) Helix Angle beta = 0° Shaft Angle = 90° Tangential Module met = 2 mm Normal Module in Middle Plane mmn = 1.6005 mm Virtual Gear Ratio uv = 1 Virtual Center Distance av = 45.269 mm Pitch Cone Radius Re = 28.284 mm Pitch Cone Radius in Middle Plane Rm = 22.634 mm Whole Depth of Tooth he = 4.4 mm Facewidth = 11.3 mm Facewidth Ratio = 0.3995 Contact Ratio = 1.6361 (1.6361 + 0) Precision Specification 6 Limit Deviation of Helix Angle Fb = 0.01 mm Limit Deviation of Axis Parallelity fx = 0.01 mm Limit Deviation of Axis Parallelity fy = 0.005 mm --- Gear 1 Number of Teeth = 20 Unit Correction = 0.1632 (= 0.326 mm) Tang. Displacement = 0 (= 0 mm) Pitch Diameter de = 40 mm Pitch Diameter in Middle Plane dm = 32.01 mm Outside Diameter dae = 43.29 mm Outside Diameter at Small End dai = 25.995 mm Root Diameter dfe = 37.067 mm Vertex Distance = 18.355 mm Vertex Distance at Small End = 11.022 mm Pitch Cone Angle delta = 45° Outside Cone Angle deltaa = 49.702° Cutting Angle deltaf = 40.807° Tooth Thickness at Large End se = 3.379 mm Outside Tooth Thickness = 0.6851 Chordal Thickness sc = 2.984 mm 0 0 Chordal Thickness Height hc = 1.783 mm Comparative Number of Teeth zv = 28.2843 Limit Circumferential Run-out Fr = 0.016 mm Limit Deviation of Axial Pitch fpt = ±0.007 mm Limit Deviation of Basic Pitch fpb = ±0.0066 mm --- Gear 2 Number of Teeth = 20 Unit Correction = -0.1632 (= -0.326 mm) Tang. Displacement = 0 (= 0 mm) Pitch Diameter de = 40 mm Pitch Diameter in Middle Plane dm = 32.01 mm Outside Diameter dae = 42.367 mm Outside Diameter at Small End dai = 25.441 mm Root Diameter dfe = 36.144 mm Vertex Distance = 18.817 mm Vertex Distance at Small End = 11.299 mm Pitch Cone Angle delta = 45° Outside Cone Angle deltaa = 48.3863° Cutting Angle deltaf = 39.4941° Tooth Thickness at Large End se = 2.904 mm Outside Tooth Thickness = 0.7713 Chordal Thickness sc = 2.564 mm 0 0 Chordal Thickness Height hc = 1.207 mm Comparative Number of Teeth zv = 28.2843 Limit Circumferential Run-out Fr = 0.016 mm Limit Deviation of Axial Pitch fpt = ±0.007 mm Limit Deviation of Basic Pitch fpb = ±0.0066 mm --- Load (Gear 1; Gear 2) Power P = 1; 0.97 kW Efficiency = 0.97 Speed n = 1000; 1000 rpm Torque Mk = 9.5493; 9.2628 Nm Tangential Force Ft = 596.6503 N Normal Force Fn = 634.942 N Direction 1 Radial Force Fr = 153.5574; 153.5574 N Axial Force Fa = 153.5574; 153.5574 N Direction 2 Radial Force Fr = 153.5574; 153.5574 N Axial Force Fa = 153.5574; 153.5574 N Circumferential Velocity v = 1.676 m/s Resonance speed nE1 = 51279.13 rpm ---------------------------------------------------- Strength Check According to ISO 6336:1996 ---------------------------------------------------- Durability Lh = 10000 hour --- Material Values Tensile Strength = 640; 640 MPa Yield Point in Tensile = 390; 390 MPa Contact Fatigue Limit SigmaHlim = 1140; 1140 MPa Bending Fatigue Limit SigmaFlim = 605; 605 MPa Hardness in Tooth Core = 200; 200 HV Hardness in Tooth Side = 600; 600 HV Base Number of Load Cycles in Contact [10^6] = 100; 100 Base Number of Load Cycles in Bending [10^6] = 3; 3 Wöhler Curve Exponent for Contact = 10; 10 Wöhler Curve Exponent for Bending = 9; 9 Modulus of Elasticity in Tension [10^3] = 206; 206 MPa Poisson's Ratio = 0.3; 0.3 Type of Treatment = 4; 4 --- Factors for Contact Application Factor KA = 1.2 Dynamic Factor KHv = 1.04 Face Load Factor KHb = 1.65 Transverse Load Factor KHa = 1.086 Total KH = 2.237 One-time Overloading Factor KAS = 1 Elasticity Factor Ze = 189.81 Zone Factor Zh = 2.495 Bevel Gear Factor Zk = 0.85 Helix Angle Factor Zbeta = 1 Contact Ratio Factor Zeps = 0.888 Single Pair Tooth Contact Factor ZB = 1.001; 1.017 Life Factor Zn = 1; 1 Lubricant Factor Zl = 0.962 Roughness Factor Zr = 1 Velocity Factor Zv = 0.954 Size Factor Zx = 1; 1 --- Factors for Bending Application Factor KA = 1.2 Dynamic Factor KFv = 1.04 Face Load Factor KFb = 1.65 Transverse Load Factor KFa = 1.086 Total KF = 2.237 One-time Overloading Factor KAS = 1 Form Factor YFa = 2.395; 2.384 Stress Correction Factor YSa = 1.744; 1.454 Teeth with Grinding Notches Factor YSag = 1; 1 Bevel Gear Factor Yk = 1 Helix Angle Factor Yb = 1 Contact Ratio Factor Yeps = 0.708 Alternating Load Factor Ya = 1; 1 Production Technology Factor Yt = 1; 1 Life Factor Yn = 1; 1 Notch Sensitivity Factor Yd = 1.367; 1.324 Size Factor Yx = 1; 1 Tooth Root Surface Factor Yr = 1 --- Results Factor of Safety from Pitting SH = 1.077; 1.06 Factor of Safety from Tooth Breakage SF = 3.789; 4.424 Static Safety in Contact SHst = 2.471; 2.432 Static Safety in Bending SFst = 6.927; 8.35 Strength Check - True