Machinery's Handbook, 31st Edition
Knurls and Knurling 1059 Formulas for Straight or Diagonal Knurling with Straight- or Diagonal-Tooth Cylindri cal Knurling Tools Set with Knurl Axis Parallel with Work Axis:
(12) (13) (14) (15)
h = tooth depth (see Table 2) P = diametral pitch = N w ÷ D w D w = work blank diameter = N w ÷ P N w = no. of teeth on work = P × D w a = “addendum” of tooth on work = ( D ow − D w ) ÷ 2 D ow = knurled diameter (outside diameter after knurling) = D w + 2a
(16) Formulas for Diagonal and Diamond Knurling with Straight-Tooth Knurling Tools Set at an Angle to the Work Axis: If, y = angle between tool axis and work axis P = diametral pitch on tool P y = diametral pitch produced on work blank (as measured in the transverse plane) by setting tool axis at an angle y with respect to work blank axis D w = diameter of work blank; and N w = number of teeth produced on work blank (as measured in the transverse plane) (17) (18) For example, if 30-degree diagonal knurling were to be produced on 1-inch diameter stock with a 160 pitch straight knurl: N D P cos30 1.000 160 0.86603 138.56 teeth w w # # = = = ° Good tracking is theoretically possible by changing the helix angle as follows to corre spond to a whole number of teeth (138): cos N D P 138 1 160 0.8625 30 2 1 degrees, approximately w w ' ' # ψ ψ = = = = ^ h Whenever it is more practical to machine the stock, good tracking can be obtained by reducing the work blank diameter as follows to correspond to a whole number of teeth (138): D P cos N 160 0.866 138 0.996 inch w w # = ψ = = Table 4. ANSI Standard Recommended Tolerances on Knurled Diameters ANSI/ASME B94.6-1984 (R2014) then, P ψ = P cos ψ and, N = D w P cos ψ
Diametral Pitch
64
96
128
160
64
96
128
160
Toler ance Class
Tolerance on Work-Blank Diameter Before Knurling
Tolerance on Knurled Outside Diameter
I + 0.005 + 0.004 + 0.003 + 0.002 ± 0.0015 ± 0.0010 ± 0.0007 ± 0.0005 - 0.012 - 0.010 - 0.008 - 0.006 II + 0.000 + 0.000 + 0.000 + 0.000 ± 0.0015 ± 0.0010 ± 0.0007 ± 0.0005 - 0.010 - 0.009 - 0.008 - 0.006 III + 0.000 + 0.000 + 0.000 + 0.000 + 0.000 + 0.0000 + 0.000 + 0.0000 - 0.006 - 0.005 - 0.004 - 0.003 - 0.0015 - 0.0010 - 0.0007 - 0.0005
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