Related Resources: Worm and WormGear Design Equations and Calculator Equations for American Standard Fine Pitch Worms and Wormgears Per. ANSI B6.9 P = Circular pitch of wormgear P = axial pitch of the worm P x, = in the central plane P x = Axial pitch of worm P n = Normal circular pitch of worm and wormgear = Px cos λ = P cos ψ λ = Lead angle of worm ψ = Helix angle of wormgear n = Number of threads in worm N =Number of teeth in wormgear N = nm G m G = Ratio of gearing = N / n l = lead of a worm which is the distance any one thread advances in a single revolution. Lead Angles: There are Fifteen standard lead angles: 0.5, 1, 1.5, 2, 3, 4, 5, 7, 9, 11, 14, 17, 21, 25, and 30 degrees. Pitches: Eight standard axial pitches have been established to provide adequate coverageof the pitch range normally required: 0.030, 0.040, 0.050, 0.065, 0.080, 0.100, 0.130, and0.160 inch.

Load calculation of gears 11.1 Calculation of loads on spur, helical, and double-helical gears There is an extremely close relationship. 11.5 Calculation of load on worm gear A worm gear is a kind of spigot gear, which can produce a high reduction ratio with small volume. The load at a meshing point of worm.

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Axial pitch is used as a basis for this design standard because: 1) Axial pitch establisheslead which is a basic dimension in the production and inspection of worms; 2) The axialpitch of the worm is equal to the circular pitch of the gear in the central plane; and 3) Only one set of change gears or one master lead cam is required for a given lead, regardless oflead angle, on commonly-used worm-producing equipment. Worm Dimensions Equations (All dimensions are in inches unless otherwise specified). ALL calculators require a Lead l = nP x Pitch Diameter d = 1 / ( π tan λ ) Outside Diameter d o = d + 2a F W = [ D o 2 - D 2 ] 1/2 Wormgear Dimensions Equations Pitch Diameter D = NP / π = N Π ε / π Outside Diameter D o = 2C - d / (2a) Face Width F Gmin = 1.125 • [ ( d o + 2c) 2 - ( d o - 4a) 2 ] 1/2 Dimensions Worm and Wormgear Addendum a = 0.3183P n Whole Depth h t = 0.7003P n + 0.002 Working Depth Clearance c = h t - h k Tooth Thichness t n = 0.5P n Normal Pressure Angle (Approx.) Φ n = 20° Center Distance C = 0.5 • (d + D).

ZAR3 Worm Gear Calculation Z A R 3 + Software for Worm Gear Design (C) Copyright 1993-2019 by HEXAGON Software, Berlin Bases for Calculation ZAR3+ calculates all dimensions of cylindrical worm gear pairs with ZI, ZA, ZK, ZN or ZH worms, as well as efficiency, tooth forces and the safety margins against root fatigue fracture and pitting. Pre-dimensioning In pre-dimensioning recommendations are made for axial distance, modulus and number of teeth based on gear ratio, drive power, drive rotational speed and material. The recommendations can be used in the following geometry and strength calculations.

Geometry Calculation In dimensioning you can adjust the recommended values to match available sizes or company standards. Or by varying the axial distance ratio and addendum modification you can determine the optimum worm gear for your application. Chris wollard and the ship thieves canyons rar extractor. Strength Calculation The strength calculation computes the factors SF (fatigue fracture) and SH (pitting) along with tooth forces on the worm and worm gear, as well as the efficiency of the gear. Efficiency ZAR3+ calculates the toothing efficiency, toothing and idling loss of power. The program provides recommended values and help graphics for determination of the tooth friction value. Material Data Base The program already includes a data base containing the most important gear materials and their values. Tooth Forces Axial and radial forces, as well as tangential force and normal force are calculated.

These values can be transfered to the WL1+ software for shaft calculation. Plus Functions of ZAR3+ ZAR3+ generates true-scale drawing of worm and worm gear. ZAR3+ provides an additional input window for modifications of tooth height factors and profile shift coefficient x.

These functions are useful for design of complementary gears of steel worm and plastic worm gear. ZAR3+ calculates tooth thickness and over pin/ball diameters (OPD). You can enter pin diameter and flank tolerances or select from tolerance system according to DIN 3967. CAD Interface A true-scale drawing of worm and worm wheel, as well as tables with the gear data can be exported to CAD via the DXF or IGES interfaces. The drawings can of course also be displayed on screen and printed out. Import/Export Text printout can be generated as HTML table and exported to Excel.