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01-16-2003  Spur Gearing Calculation  (Version 4.0.1017)
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--- Guide
External Gearing - ISO
Calculation of geometry: Calculates the center distance according to the module, number of teeth, correction and helix direction
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 = 2.35
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 = 67 mm
Product Center Distance a = 67 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 = 1.6503 (1.6503 + 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 = 47
Unit Correction = 0
Pitch Diameter d = 94 mm
Base Circle Diameter db = 88.331 mm
Outside Diameter do = 98 mm
Root Diameter df = 89 mm
Work Pitch Diameter dw = 94 mm
Tooth Thickness s = 3.142 mm
Outside Tooth Thickness = 0.7716 (= 1.543 mm)
Facewidth = 30 mm
Facewidth Ratio = 0.3191
Chordal Thickness T = 2.774 mm 
                               
Chordal Thickness Height ht = 1.495 mm
Chordal Dimension M = 33.79 mm / 6 
                                   
Dimension Over (Between) Wires M = 97.087 mm 
                                             
Wire Diameter dw = 3 mm
Limit Circumferential Run-out Fr = 0.021 mm
Limit Deviation of Axial Pitch fpt = ±0.0075 mm
Limit Deviation of Basic Pitch fpb = ±0.007 mm

--- Load  (Gear 1;  Gear 2)
Power P = 1;   0.97 kW
Efficiency = 0.97
Speed n = 1000;   425.5319 rpm
Torque Mk = 9.5493;   21.7676 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 = 31647.77 rpm

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 Strength Check According to BACH
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--- 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