Table 3. Basic Dimensions for Involute Splines ANSI B92.1-1970, R1993
½¥¿ªÏß»¨¼ü»ù±¾³ß´ç Pitch, P/Ps Circular Pitch, p 2.5 ?5 3 ?6 4 ?8 5 ?10 6 ?12 8 ?16 10 ?20 12 ?24 16 ?32 1.2566 1.0472 0.7854 0.6283 0.5236 0.3927 0.3142 0.2618 0.1963 Min Effective Space Width (BASIC), Sv min ×îС×÷Óû¡³Ý²Û¿í£¨»ù±¾Öµ£© 30 deg ¦µ 0.6283 0.5236 0.3927 0.3142 0.2618 0.1963 0.1571 0.1309 0.0982 37.5deg¦µ 0.6683 0.5569 0.4177 0.3342 0.2785 0.2088 0.1671 0.1392 0.1044 45 deg ¦µ ¡ ¡ ¡ ¡ ¡ ¡ 0.1771 0.1476 0.1107 20 ?40 24 ?48 32 ?64 40 ?80 48 ?96 64 ?128 80 ?160 128 ?256 ¡ 0.1571 0.1309 0.0982 0.0785 0.0654 0.0491 0.0393 0.0246 ¡ Pitch, P/Ps Circular Pitch, p 30 deg ¦µ 0.0785 0.0654 0.0491 0.0393 0.0327 ¡ ¡ ¡ ¡ 37.5 deg ¦µ 0.0835 0.0696 0.0522 0.0418 0.0348 ¡ ¡ ¡ ¡ 45 deg ¦µ 0.0885 0.0738 0.0553 0.0443 0.0369 0.0277 0.0221 0.0138 ¡ Min Effective Space Width (BASIC), Sv min Tooth Numbers.¡ª The American National Standard covers involute splines having tooth numbers ranging from 6 to 60 with a 30- or 37.5-degree pressure angle and from 6 to 100 with a 45-degree pressure angle. In selecting the number of teeth for a given spline application, it is well to keep in mind that there are no advantages to be gained by using odd numbers of teeth and that the diameters of splines with odd tooth numbers, particularly internal splines, are troublesome to measure with pins since no two tooth spaces are diametrically opposite each other.
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Types and Classes of Involute Spline Fits.¡ª Two types of fits are covered by the American National Standard for involute splines, the side fit, and the major diameter fit. Dimensional data for flat root side fit, flat root major diameter fit, and fillet root side fit splines are tabulated in this standard for 30-degree pressure angle splines; but for only the fillet root side fit for 37.5- and 45-degree pressure angle splines. ½¥¿ªÏß»¨¼üµÄÅäºÏÀàÐͺ͹«²îµÈ¼¶¡ª±¾±ê×¼¹æ¶¨Á½ÖÖÅäºÏÀàÐÍ£º³Ý²àÅäºÏºÍÍâ¾¶ÅäºÏ¡£30¶ÈѹÁ¦½Çʱ£¬ÓÐÆ½³Ý¸ù³Ý²àÅäºÏ¡¢Æ½³Ý¸ùÍâ¾¶ÅäºÏ¡¢Ô²³Ý¸ù³Ý²àÅäºÏ£»37.5ºÍ45¶ÈѹÁ¦½ÇÖ»ÓÐÔ²³Ý¸ù³Ý²àÅäºÏ¡££¨¼û±í2£©
Side Fit: In the side fit, the mating members contact only on the sides of the teeth; major and minor diameters are clearance dimensions. The tooth sides act as drivers and centralize the mating splines.
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Major Diameter Fit: Mating parts for this fit contact at the major diameter for centralizing. The sides of the teeth act as drivers. The minor diameters are clearance dimensions.
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The major diameter fit provides a minimum effective clearance that will allow for contact and location at the major diameter with a minimum amount of location or centralizing effect by the sides of the teeth. The major diameter fit has only one space width and tooth thickness tolerance which is the same as side fit Class 5.
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A fillet root may be specified for an external spline, even though it is otherwise designed to the flat root side fit or major diameter fit standard. An internal spline with a fillet root can be used only for the side fit. Í⻨¼üÒ»°ãÓÃÔ²³Ý¸ù£¬Ò²ÓÐÆäËüÇé¿ö²ÉÓÃÆ½³Ý¸ùµÄ³Ý²àÅäºÏ»òÍâ¾¶ÅäºÏ¡£ÄÚ»¨¼üÔ²³Ý¸ùÖ»ÊÊÓÃÓڳݲàÅäºÏ¡£
Classes of Tolerances.¡ª This standard includes four classes of tolerances on space width and tooth thickness. This has been done to provide a range of tolerances for selection to suit a design need. The classes are variations of the former single tolerance which is now Class5 and are based on the formulas shown in the footnote of Table 4. All tolerance classes have the same minimum effective space width and maximum effective tooth thickness limits so that a mix of classes between mating parts is possible.
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Table 4. Maximum Tolerances for Space Width and Tooth Thickness of
Tolerance Class 5 Splines ANSI B92.1-1970, R1993
(Values shown in ten thousandths; 20 = 0.0020 ±íÖÐ20=0.0020Ó¢´ç)
Pitch, P/Ps 6 ?12 and 10?20 and 16?32 and 24?48 and 64 ?128 128 ?256 8 ?16 12 ?24 20 ?40 48 ?96 and 80?160 Machining Tolerance, m ¼Ó¹¤¹«²î 12.5 12 11.7 11.7 9.6 9.5 14 13 12.4 12.4 10.2 10 15.5 14 13.1 13.1 10.8 10.5 17 15 13.8 13.8 11.4 ¡ª 18.5 16 14.5 14.5 ¡ª ¡ª 20 17 15.2 15.2 ¡ª ¡ª ¡ª 18 15.9 15.9 ¡ª ¡ª ¡ª 19 16.6 16.6 ¡ª ¡ª ¡ª 20 17.3 17.3 ¡ª ¡ª ¡ª 21 18 18 ¡ª ¡ª Variation Allowance, ¦Ë ×ۺϹ«²î 17 15.7 14.2 12.2 11 9.8 19 17.4 15.4 13.4 12 10.6 21 19.1 16.6 14.6 13 11.4 23 21.6 17.8 15.8 14 ¡ª 25 22.5 19 17 ¡ª ¡ª 27 24.2 20.2 18.2 ¡ª ¡ª ¡ª 25.9 21.4 19.4 ¡ª ¡ª ¡ª 27.6 22.6 20.6 ¡ª ¡ª ¡ª 29.3 23.8 21.8 ¡ª ¡ª ¡ª 31 25 23 ¡ª ¡ª Total Index Variation ³Ý¾àÀÛ»ýÆ«²î 15 15 14 12 11 10 18 17 15 13 12 11 20 19 16 15 14 13 22 20 18 16 15 ¡ª 25 22 19 17 ¡ª ¡ª 27 24 20 18 ¡ª ¡ª ¡ª 26 21 20 ¡ª ¡ª ¡ª 28 22 21 ¡ª ¡ª ¡ª 29 24 23 ¡ª ¡ª ¡ª 31 25 24 ¡ª ¡ª Profile Variation ³ÝÐÎÆ«²î +5 +4 +3 +2 +2 +2 ?7 ?6 ?5 ?4 ?4 ?4 Lead Variation ³ÝÏòÆ«²î No.of 2.5 ?5 and 4 ?8 and Teeth 3 ?6 5 ?10 N 10 15.8 14.5 20 17.6 16 30 18.4 17.5 40 21.8 19 50 23 20.5 60 24.8 22 70 ¡ª ¡ª 80 ¡ª ¡ª 90 ¡ª ¡ª 100 ¡ª ¡ª N 10 23.5 20.3 20 27 22.6 30 30.5 24.9 40 34 27.2 50 37.5 29.5 60 41 31.8 70 ¡ª ¡ª 80 ¡ª ¡ª 90 ¡ª ¡ª 100 ¡ª ¡ª N 10 20 17 20 24 20 30 28 22 40 32 25 50 36 27 60 40 30 70 ¡ª ¡ª 80 ¡ª ¡ª 90 ¡ª ¡ª 100 ¡ª ¡ª N +7 +6 All ?10 ?8 Lg, in.ÅäºÏ³¤¶ÈÓ¢´ç VariationÆ«²îÖµ 0.3 2 0.5 3 1 4 2 5 3 6 4 7 5 8 6 9 7 10 8 11 9 12 10 13 For other tolerance classes: Class 4 = 0.71 ¡Á Tabulated value µÈ¼¶4=0.71¡Á»ù±¾Öµ Class 5 = As tabulated in table µÈ¼¶5=¶¨ÒåΪ»ù±¾Öµ Class 6 = 1.40 ¡Á Tabulated value µÈ¼¶6=1.40¡Á»ù±¾Öµ Class 7 = 2.00 ¡Á Tabulated value µÈ¼¶7=2.00¡Á»ù±¾Öµ
Fillets and Chamfers.¡ª Spline teeth may have either a flat root or a rounded fillet root.
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Flat Root Splines: are suitable for most applications. The fillet that joins the sides to the bottom of the tooth space, if generated, has a varying radius of curvature. Specification of this fillet is usually not required. It is controlled by the form diameter, which is the diameter at the deepest point of the desired true involute form (sometimes designated as TIF).
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When flat root splines are used for heavily loaded couplings that are not suitable for fillet root spline application, it may be desirable to minimize the stress concentration in the flat root type by specifying an approximate radius for the fillet. ÈôijÖÖÖØÔØµÄ³¡ºÏ²»ÊÊÓÃÔ²³Ý¸ù£¬¶ø²ÉÓÃÆ½³Ý¸ùʱ£¬Ó¦ÔÚÆ½³Ý¸ùµÄ¹Õ½Ç´¦Éè¼ÆÒ»¸ö½üËÆµÄÔ²»¡£¬ÒÔ¼õÉÙ½Ó´¥Ó¦Á¦¡£
Because internal splines are stronger than external splines due to their broad bases and high pressure angles at the major diameter, broaches for flat root internal splines are normally made with the involute profile extending to the major diameter. ÓÉÓÚÄÚ»¨¼üÔڳݸù´¦µÄ²ÄÁÏ»ùÌå¸ü¶à¡¢Ñ¹Á¦½Ç¸ü´ó£¬ËùÒÔÄÚ»¨¼üÇ¿¶ÈÒª´óÓÚÍ⻨¼ü£¬ÔÚÀÏ÷¼Ó¹¤£¨ÄÚ»¨¼ü£©Ê±£¬½¥¿ªÏß»¨¼üµÄ³ÝÐÎÒ»°ãÑÓÉìµ½´ó¾¶´¦¡£
Fillet Root Splines: are recommended for heavy loads because the larger fillets provided reduce the stress concentrations. The curvature along any generated fillet varies and can not be specified by a radius of any given value.
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External splines may be produced by generating with a pinion-type shaper cutter or with a hob, or by cutting with no generating motion using a tool formed to the contour of a tooth space. External splines are also made by cold forming and are usually of the fillet root design. Internal splines are usually produced by broaching, by form cutting, or by generating with a shaper cutter. Even when full-tip radius tools are used, each of these cutting methods produces a fillet contour with individual characteristics.
Generated spline fillets are curves related to the prolate epicycloid for external splines and the prolate hypocycloid for internal splines. These fillets have a minimum radius of curvature at the point where the fillet is tangent to the external spline minor diameter circle or the internal spline major diameter circle and a rapidly increasing radius of curvature up to the point where the fillet comes tangent to the involute profile.
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Chamfers and Corner Clearance: In major diameter fits, it is always necessary to provide corner clearance at the major diameter of the spline coupling. This clearance is usually effected by providing a chamfer on the top corners of the external member. This method may not be possible or feasible because of the following:
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a) If the external member is roll formed by plastic deformation, a chamfer cannot be pro- vided by the process.
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In such conditions, the corner clearance can be provided on the internal spline, as shown in Fig. 2.
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