-------------------------------------------------------- 01-15-2003 Spur Gearing Calculation (Version 4.0.1017) -------------------------------------------------------- --- Guide External Gearing - ISO Calculation of geometry: Calculates the number of teeth according to the center distance and module Reaching the center distance: Teeth correction Distribution of Correction: In Reverse Ratio Load calculation: Calculates the torque according to the power and speed Strength calculation: Strength check calculation --- Basic Parameters Desired Gear Ratio = 1 Pressure Angle alpha = 20° Addendum a* = 1 Clearance c* = 0.25 Root Fillet = 0.38 (= 0.76 mm) Addendum of Basic Rack = 1.25 (= 2.5 mm) Helix Angle beta = 0° Module m = 2 mm Center Distance aw = 40 mm Product Center Distance a = 40 mm Total Unit Correction = 0 Operating Pressure Angle alphaw = 20° Circular Pitch p = 6.283 mm Base Circular Pitch ptb = 5.904 mm Contact Ratio = 1.5568 (1.5568 + 0) Precision Specification 6 Limit Deviation of Helix Angle Fb = 0.011 mm Limit Deviation of Axis Parallelity fx = 0.011 mm Limit Deviation of Axis Parallelity fy = 0.0055 mm --- Gear 1 Number of Teeth = 20 Unit Correction = 0 Pitch Diameter d = 40 mm Base Circle Diameter db = 37.588 mm Outside Diameter do = 44 mm Root Diameter df = 35 mm Work Pitch Diameter dw = 40 mm Tooth Thickness s = 3.142 mm Outside Tooth Thickness = 0.6949 (= 1.39 mm) Facewidth = 32 mm Facewidth Ratio = 0.75 Chordal Thickness T = 2.774 mm Chordal Thickness Height ht = 1.495 mm Chordal Dimension M = 15.321 mm / 3 Dimension Over (Between) Wires M = 43.138 mm Wire Diameter dw = 3 mm 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 Pitch Diameter d = 40 mm Base Circle Diameter db = 37.588 mm Outside Diameter do = 44 mm Root Diameter df = 35 mm Work Pitch Diameter dw = 40 mm Tooth Thickness s = 3.142 mm Outside Tooth Thickness = 0.6949 (= 1.39 mm) Facewidth = 30 mm Facewidth Ratio = 0.75 Chordal Thickness T = 2.774 mm Chordal Thickness Height ht = 1.495 mm Chordal Dimension M = 15.321 mm / 3 Dimension Over (Between) Wires M = 43.138 mm Wire Diameter dw = 3 mm 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 = 477.4648 N Radial Force Fr = 173.783 N Axial Force Fa = 0 N Normal Force Fn = 508.1075 N Circumferential Velocity v = 2.0944 m/s Resonance Speed nE1 = 40201.26 rpm ---------------------------------------------------- Strength Check According to BACH ---------------------------------------------------- --- Material Values Allowable Bending Stress SigmaAb = 100; 100 MPa --- Results Allowable Load Fall = 1306.9025; 1225.2211 N Strength Factor S = 2.7372; 2.5661 Strength Check - True