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Machinery's Handbook 27th Edition 1778 MINIATURE SCREW THREADS Table 2. Unified Miniature Screw Threads — Design Thread Form Formulas for Design Thread Form (maximum material) a External Thread Internal Thread Thread Element Symbol Formula Thread Element Symbol Formula Addendum has 0..32476p Height of engagement he 0.52p Height hs 0.60p Height of thread hn 0.556p Flat at crest Fcs 0.125p Flat at crest Fcn 0.27456p Radius at root rrs 0.158p (approx) Radius at root rrn 0.072p (approx) a Metric units (millimeters) are used in all formulas. Copyright 2004, Industrial Press, Inc., New York, NY
MINIATURE SCREW THREADS 1779 Table 3. Unified Miniature Screw Threads—Basic and Design Form Dimensions Threads per inch n a Pitch p Basic Thread Form External Thread Design Form Internal Thread Design Form Height of Sharp V H = 0.86603p Machinery's Handbook 27th Edition Height h b = 0.52p Addendum h ab = h as = 0.32476p Height h s = 0.60p Millimeter Dimensions Flat at Crest F cs = 0.125p Radius at Root r rs = 0.158p Height h n = 0.556p a In Tables 5 and 6 these values are shown rounded to the nearest whole number. Flat at Crest F cn = 0.27456p Table 4. Unified Miniature Screw Threads — Formulas for Basic and Design Dimensions and Tolerances Radius at Root r rn = 0.072p … .080 .0693 .0416 .0260 .048 .0100 .0126 .0445 .0220 .0058 … .090 .0779 .0468 .0292 .054 .0112 .0142 .0500 .0247 .0065 … .100 .0866 .0520 .0325 .060 .0125 .0158 .0556 .0275 .0072 … .125 .1083 .0650 .0406 .075 .0156 .0198 .0695 .0343 .0090 … .150 .1299 .0780 .0487 .090 .0188 .0237 .0834 .0412 .0108 … .175 .1516 .0910 .0568 .105 .0219 .0277 .0973 .0480 .0126 … .200 .1732 .1040 .0650 .120 .0250 .0316 .1112 .0549 .0144 … .225 .1949 .1170 .0731 .135 .0281 .0356 .1251 .0618 .0162 … .250 .2165 .1300 .0812 .150 .0312 .0395 .1390 .0686 .0180 … .300 .2598 .1560 .0974 .180 .0375 .0474 .1668 .0824 .0216 Inch Dimensions 317 1 ⁄ 2 .003150 .00273 .00164 .00102 .00189 .00039 .00050 .00175 .00086 .00023 282 2 ⁄ 9 .003543 .00307 .00184 .00115 .00213 .00044 .00056 .00197 .00097 .00026 254 .003937 .00341 .00205 .00128 .00236 .00049 .00062 .00219 .00108 .00028 2031 ⁄ 5 .004921 .00426 .00256 .00160 .00295 .00062 .00078 .00274 .00135 .00035 1691 ⁄ 3 .005906 .00511 .00307 .00192 .00354 .00074 .00093 .00328 .00162 .00043 1451 ⁄ 7 .006890 .00597 .00358 .00224 .00413 .00086 .00109 .00383 .00189 .00050 127 .007874 .00682 .00409 .00256 .00472 .00098 .00124 .00438 .00216 .00057 1128 ⁄ 9 .008858 .00767 .00461 .00288 .00531 .00111 .00140 .00493 .00243 .00064 1013 ⁄ 5 .009843 .00852 .00512 .00320 .00591 .00123 .00156 .00547 .00270 .00071 842 ⁄ 3 .011811 .01023 .00614 .00384 .00709 .00148 .00187 .00657 .00324 .00085 Formulas for Basic Dimensions D = Basic Major Diameter and Nominal Size in millimeters; p = Pitch in millimeters; E = Basic Pitch Diameter in millimeters = D − 0.64952p; and K = Basic Minor Diameter in millimeters = D − 1.04p Formulas for Design Dimensions (Maximum Material) External Thread Internal Thread Ds = Major Diameter = D Dn = Major Diameter = D + 0.072p Es = Pitch Diameter = E En = Pitch Diameter = E Ks = Minor Diameter = D − 1.20p Kn = Minor Diameter = K Formulas for Tolerances on Design Dimensionsa a These tolerances are based on lengths of engagement of 2 ⁄3 D to 11 External Thread (−) Internal Thread (+) Major Diameter Tol., 0.12p + 0.006 bMajor Diameter Tol., 0.168p + 0.008 Pitch Diameter Tol., 0.08p + 0.008 Pitch Diameter Tol., 0.08p + 0.008 cMinor Diameter Tol., 0.16p + 0.008 Minor Diameter Tol., 0.32p + 0.012 ⁄ 2D. b This tolerance establishes the maximum limit of the major diameter of the internal thread. In practice, this limit is applied to the threading tool (tap) and not gaged on the product. Values for this tolerance are, therefore, not given in Table 5. c This tolerance establishes the minimum limit of the minor diameter of the external thread. In practice, this limit is applied to the threading tool and only gaged on the product in confirming new tools. Values for this tolerance are, therefore, not given in Table 5. Metric units (millimeters) apply in all formulas. Inch tolerances are not derived by direct conversion of the metric values. They are the differences between the rounded off limits of size in inch units. Copyright 2004, Industrial Press, Inc., New York, NY
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SCREW THREAD SYSTEMS 1725 Screw Thr
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