üDC 621.833 : 681 DEUTSCHE NORMEN h y 1972 Spur Gear Drives for Fine Mechanics indications in Drawings, &les for Calculation DIN I 58405 Sheet 3 Stirnradgetriebe der Feinwerktechnik; Angaben in Zeichnungen, Berechnnngsbeispiele The references to the other Sheets of this Standard relate to the b y 1972 issues. Dimensions in mm in the spur Rear &* a The drawing contains only data f o r the gear blank and the surface finish symbols f o r the tooth system (see Figure I. ) All the gearcutting data are presented jointly in a Table (see Figure 2. ) In the title block of the drawing the row intended f o r the description will generally contain the entry "straight spur gear" or "helical spur gear". I. Indications --``,`,,`,,```,,`,`,,,``,```,`-`-`,,`,,`,`,,`--- 11 .. Data for the gear blank ------------------ --------- (II For tip circle diameter ak see DIB 58405 Sheet 1, Section 31 .. Tolerance according to DIN 58405 Sheet 2, Section 21 .. In the case of topped spur gears this is o n l y the outside diameter of the gear blank. For machining allowance and tolerance, see DIN 50405 Sheet 2, Section 2 1 2 ... (2) Pace width. (3) ( ( ( ( Reference diameter ---^. ---. f o r axial * " . . --,, a Anwenderinformation Die Originalfassung der Norm enthält Elemente, z.B. farbige Abbildungen oder Tabellen, die in dieser gescannten Form der Norm nicht originalgetreu darstellbar sind. Dies muß bei der Anwendung berücksichtigt werden. Maßgebend für das Anwenden jeder DIN-Norm ist deren Originalfassung mit dem neuesten Ausgabedatum. Vergewissern Sie sich bitte in den DIN-Mitteilungen, im .aktuellen DIN-Katalog mit dem neuesten Ergänzungsheft oder in der aktuellen Ausgabe der PERINORM. "-. . y ( - ( T" P . I (1 I . -_ s - 1. 1. 1. II ? 1. D I 1. Wï 1. 1. II I . YTA " A_ .& In the case of straight spur gears a horizontal stroke is indicated. In a drive with extemuillg toothed helical spur gears, one gear of the pair is always right-handed and the other lefthanded. Continued on pages 2 to 19 lleinverkauf der Normblätter durch Beuth-Vertrieb GmbH, Berlin 30 und Köln DIH 58405 B . engl. Preisgr.' 13 üDC 621.833 : 681 DEUTSCHE NORMEN h y 1972 Spur Gear Drives f o r Fine Mechanics Indications in Drawings, &les for Calculation DIN I 58405 Sheet 3 Stirnradgetriebe der Feinwerktechnik; Angaben in Zeichnungen, Berechnnngsbeispiele The references to the other Sheets of this Standard relate to the b y 1972 issues. Dimensions in mm --``,`,,`,,```,,`,`,,,``,```,`-`-`,,`,,`,`,,`--- I Indications in the spur Rear &* . a The drawing contains only data f o r the gear blank and the surface finish symbols for the tooth system (see Figure I ) . All the gearcutting data are presented jointly in a Table (see Figure 2 ) . In the title block of the drawing the row intended f o r the description will generally contain the entry "straight spur gear" or "helical spur gear". 11 Data f o r the gear blank .. ------------------ --------For tip circle diameter ak see DIB 58405 Sheet 1, Section 31 .. Tolerance according to DIN 58405 Sheet 2, Section 21 .. In the case of topped spur gears this is o n i y the outside diameter of the gear b l a . For machining allowance and tolerance, see DIN 58405 Sheet 2, Section 2 1 2 ... Pace width. Reference diameter for axial run-out (see DIN 58405 Sheet 2, Section 23. .) Permissible axial run-out according to DIN 58405 Sheet 2, Section 23 (Table 51, . surface quality. Permissible non-parallelism instead of (5) according to DIN 58405 Sheet 2, Section 23 .. Machining method and surface quality of tooth flanks according to DIN 58405 Sheet 2, Table 1, columns 5 and 6 . Permissible radial run-out relative to mounting bore according to DIN 58405 Sheet 2, Section 22 (Table 3 o r 4 . Surface quality, . ) particularly when tolerancing according to Table 4 . Gear bore (mounting bore). Tolerance and surface quality according to DIN 58405 Sheet 2, Table 1, columns 8 and 9 . Material, recommendation according to DIN 58405 Sheet 2, Table 1, column 7 . Figure 1 Spur gear drawing . 1 2 Data for --------.. --------------gearcutting T o o l b a s i c r a c k p r o f i l e a c c o r d i n g t o Dm5M12 N u m b e r o f t e e t h z 123 ... E o d u 1 e m In the case of helical spur gears the normal module m should be stated. n 124 ... P i t c h c i r c l e d i a m e t e r 125 ... B a s i c r a c k p r o f i l e DIN 58400 or DIN 8 7 (see DIN 5 W 5 Sheet I, Section 21. 6 .) 126 ... A d d e n d u a m o d i f i c a t i o n f a c t o r x When x = O the value entered is O . 127 ... H e 1 i x a n g 1 e ßo In the case of straight spur gears, O is entered. 128 ... F a c 2 a 1 i g nm e n t right-handed Right Left 0 left-handed In the case of straight spur gears a horizontal stroke is indicated. In a drive with extemuillg toothed helical spur gears, one gear of the pair is always right-handed and the other lefthanded. Continued on pages 2 to 19 122 ... . C 121 ... einverkauf der Normblätter durch Beuth-Vertrieb GmbH, Berlin 30 und Köln DIN 58405 B . engl. Preisgr.' 13 Page 2 D I N 58405 Sheet 3 f i t a c c o r d i n g 58405 Sheet 2 "he p a r t i c u l a r s t o be i n d i c a t e d a r e t h e geaI f i t s e l e c t e d according t o DIN 58405 Sheet 1, Section 4, i n conjunction w i t h DIìü 58405 Sheet 2, S e c t i o n 1, and a l s o t h e symbol f o r t h e s p e c i f i e d acceptance t e s t i n g (e.g. 1.2.9. G e a r t o D m P e r m i s s i b 1e t o t a 1 Module m l I e r r o r r a n g e Ff Depending on t h e g e a r f i t s e l e c t e d , t h e t o t a Pitch c i r c l e diameter dn I I e r r o r range according t o D I N 58405 Sheet 2, Basic rack p r o f i l e IDIN I Section 6, permitted f o r t h e Rear should be entered. Addendum modification f a c t o r x For V t o o t h systems t h e t o t a l e r r o r range I$ ' obtained from S e c t i o n 6 could i f necessary b Helix angle fi0 multi l i e d by t h e f a c t o r L according t o equa Face alignment . t i o n p51) Sheet 2 1.2.11. P e r m i s s i b 1e t o o t h t o t o o t h c o m p o s i t e e r r o r fp Depending on t h e g e a r f i t s e l e c t e d , t h e t o o t t o t o o t h composite e r r o r according t o DIN 58405 Sheet 2, S e c t i o n 6, permitted f o r t h e g e a r should be entered. In t h e case of V t o o t h systems t h e t o o t h t o I I Dual cone width t o o t h composite e r r o r f i obtained from SecCentre distance i n the t i o n 6 should i f necessary be m u l t i p l i e d by dual flank r o l l t e s t e r t h e f a c t o r L according t o equation (51) with master gear Sheet 2. Number of mating gear 1.2.12. P e r m i s s i b l e f a c e a l i g n m e n t e r r o r Centre distance i n housing I I Depending on t h e g e a r f i t s e l e c t e d , t h e fß permissible f a c e alignment e r r o r according Base tangent length = t o DIB.58405 Sheet 2 , S e c t i o n 6, should be almeasured over z' = Teeth entered. N 1.2.13. D u a l c o n e w i d t h b)measured indirectly over t i p c i r c l e The dimension entered a s t h e dual cone width i s t h e nominal dimension N according t o DIN 58405 Sheet I , S e c t i o n 3.5, D l U S t h e Figure 2. Gearcutting t a b l e upper dual cone width allowance according t o D I N 58405 Sheet 2, S e c t i o n 6, corresponding t o t h e g e a r f i t selected. The d i f f e r e n c e between t h e upper and t h e lower dual cone width allowance i s appended a s a minus v a r i a t i o n . Exampl e : Nominal dimension of dual cone width N = 30.845 = -0.078 Upper dual cone width allowance ANO Lower dual cone width allowance AN^ = -0.064 The dual cone width t o be entered i s t h e r e f o r e : 30.807 0.026. 1.2.14. C e n t r e d i s t a n c e a" i n t h e d u a l f l a n k r o l l t e s t e r w i t h m a s t e r g e a r Upper l i n e The dimension entered i s t h e nominal dimension a " according t o equation (40) or (41) i n D I N 58405 Sheet 2 p l u s t h e upper allowance on t h e dual f l a n k roll t e s t d i s t a n c e according t o equation (42) or (44) from S e c t i o n 4.1 or equation (47) or (49) from Section 4.2. The d i f f e r ence between t h e upper and lower allowances of t h e dual f l a n k r o l l t e s t d i s t a n c e is appended as a minus v a r i a t i o n . I n p r i n c i p l e t h e example i n S e c t i o n 1.2.13 applies. Lower l i n e D e s i m a t i o n of t h e master Rear. 1.2.75. N u m b e r of- m a t i n g e a r The drawing number of t h e mating g e a r i s entered. I f t h e spur gear i s t o be p a i r e d with severa l d i f f e r e n t mation Rears, c a r e should be taken t o ensure t h a t t h e matina - Rears a l s o have t h e same t o l e r a n c e zones-and grades a s t h e spur gear. 1.2.16. C e n t r e A i s t a n c e i n h o u s i n g a The c e n t r e d i s t a n c e a according t o equation (5) i n DIN 58405 Sheet 1 and t h e allowances Aa0 and A U according t o D I N 58405 Sheet 2, S e c t i o n 6, should be entered according t o t h e g e a r a f i t selected. W 1.2.17. B a s e t a n g e n t l e n g t h "he dimension entered a s t h e b a s e tangent l e n g t h i s t h e nominal dimension W according t o D I N 58405 Sheet 1, S e c t i o n 3.4, plus t h e upper base tangent l e n g t h allowance according t o DIN 58405 Sheet 2, S e c t i o n 6, according t o t h e gear f i t selected. The d i f f e r e n c e between t h e upper and t h e l o u e r base tangent l e n g t h allowance i s appended as a minus v a r i a t i o n . I n p r i n c i p l e t h e example in S e c t i o n 1.2.13 applies. The number of t e e t h e ' over which t h e base tangent l e n g t h i s measured i s obtained from t h e Tables i n D I N 58405 Sheet 4. I f , i n t h e case of topped spur g e a r s ( t o o l b a s i c rack p r o f i l e s U 1 or U according t o D I N 58412) t h e base tangent l e n g t h i s t o be measured i n d i r e c t l y over t h e t i p c i r c l e , t h e dimension obtained from equation (34) i n D I N 58405 Sheet 1 should be entered i n t h e l a s t l i n e of t h e Table. For a spur g e a r , however, m l y t h e d a t a f o r t h e d i r e c t or t h e i n d i r e c t method may be entered. 2. I n d i c a t i o n s in t h e housinu drawinq "he dimension i n d i c a t e d i n t h e drawing i s t h e nominal dimension a c a l c u l a t e d according t o equation (5) i n D I N 58405 Sheet 1 p l u s t h e allowances Bao and Bau according t o DIN 58405 1.2.10. 7 J/7 f S"). Number of t e e t h a --``,`,,`,,```,,`,`,,,``,```,`-`-`,,`,,`,`,,`--- 1 I - ____________________------------_------- following p a r t i c u l a r s a r e s t a t e d : Centre Tolerance zone according to distance a DIN 58405 Sheet The nominal dimension of t h e c e n t r e d i s t a n c e i s a and centre disentered. tance allowances 2.2. Grade and t o l e r a n c e zone according t o 20.592 8J 0.032 DIN 58405 Sheet 2 and c e n t r e d i s t a n c e ______________________------------_-allowance ___-____ The symbol f o r t h e allowances of t h e c e n t r e d i s t a n c e corresponding t o t h e g e a r f i t s e l e c t e d (e.g. 8 J ) i s s t a t e d , p l u s t h e numerical value o f t h e allowances t o g e t h e r with any t o l e r a n c e 2.1. Centre d i s t a n c ...................... e _+ ' Permissible error in axial parallelism f ref. to 100 u& length of axis O,028 - earing seating Figure 5. Gear s h a f t with r o l l i n g bearings k \ \ Figure 6. Gear s h a f t with p l a i n bearings and intermediate bush 4. Individual e r r o r s F u r t h e r i n d i v i d u a l errors, t h e v a l u e s of which a r e required t o be l i m i t e d , should a l s o be l i s t e d i n t h e drawings t o g e t h e r with t h e i r symbols and permissible l i m i t i n g values. --``,`,,`,,```,,`,`,,,``,```,`-`-`,,`,,`,`,,`--- Page 4 DïN 58405 Shekt 3 5. been used. For c l e a r e r d i f f e r e n t i a t i o n , p a r t i c u l a r s concerni n g the examples a r e p r i n t e d i n red. 5.1. Design c a l c u l a t i o n for a g e a r d r i v e f o r s e t t i n g t h e counter mechanism of an e l e c t r o - &les for c a l c u l a t i o n For the examples below t h e c a l c u l a t i o n proforma according to DIN 58405 Supplementary Sheet 1 has , I n t e r m ed i a t e bush ,Shaft --------- .................... __-----_____------ ..................................... mecoanicai-oe1ice I. Given for gear 1 1.1. Speed n1 12 & t i o i .. Gear 2 - 40 'J/min Gear '-'i, , ~1.4. - 2 13 .. Mean t o r s i o n a l backlash Sdm = 0 ' r e f e r r e d t o t h e l a r g e gear 15' .. 2. Conditions s e l e c t e d D I N 58405 Sheet/ Sheet/ Table Section 1.5. Maximum t o r s i o n a l backlash Sa max = r e f e r r e d t o t h e l a r g e gear Existing centre distance a I Equation or remark6 Result Gear 1 Gear 2 - Unit 2.1. 2.2. 2.3. Number of t e e t h z Module m Gear f i t 2/1 112.5 1/2.2 48 095 from n, and Sd ma% x c o r d i n g t o S e c t i o n s 1.1 and I I 96 mm - 8 Ji8 f - - 1 - 1 O 2.4.1. H e l i x angle ßo - 112.4 25 .. 2.6. 2.7. 2.8. Basic rack p r o f i l e of t o o l according t o D I N 58412 Material Face w i d t h b Basic rack p r o f i l e 2/1 112.7 112.1 - l o U N I topping = non-topping - - I I I 3 . Calculated d a t a 3.1. P i t c h c i r c l e diameter 112.6 113.2.1 32. 3.2.1. 3.2.2. To a v o i d u n d e r c u t t i n g i / Fig. 1 4 a.5 113.2.3 llequat ions 1 5 ) t O (91 x1 x = (Y, + AY,) "gT - = ___ ' T I : To y i e l d e x i s t i n g centre d i s t a n c e a + 22 = (evab, - evao,) X x according t o 1.5 z1 + z2 2 tan aon 21 abs from: cosab, m" -e-= cospe cos aop + "2 2 X - a aosfrom: tan ao6 = tanaon ~ making sure t h a t no underc u t t i n g is thereby introduced cos Bn ." --``,`,,`,,```,,`,`,,,``,```,`-`-`,,`,,`,`,,`--- DIN 58405 Sheet 3 Page 5 DIN-& 405 Sheet/ Sheet/ Table Section 3.3. Tip circle diameter dl (tip easing possibly needed in the event of addendum modification according to 3.2) Centre distance a - I Equation or remarks Result 1p.i di, = d ~ + Z m , ( z + y ) - Z k m , - ip.1.1 I I 2' 51 49*1 3.4. cos aor, 'or cos ab see DIN 58405 Sheet 4, iection 2 3.5. Base tangent length Y 411 W=w'+AW AW = 2r.m,sinir0, 8,454 16,171 3.5.1. 3.6. Measured over z ' Dual cone width N 1/33 - I only for gear blank 4,Tolerances 4.1. 4.1.1. Spur gear Tip circle diameter IS0 tolerance zone (non-topped) Tolerance (topped) Permissible radial run-out Trk 212.1 212.1.1 212 213a.4 215 2/21 - 1 212.2 2/23 h9 m l y for gear blank Pip circle is Tor setting dpriifl= - h9 1- n o t used 56 4.1.2. Permissible axial runout of transverse planes Tsa IS0 tolerance zone dprUfz 46 mm = 211 4.1.3. 4.1 A. 4.1 5. 4.1.6. 214.3 214.4 2/45 for mounting bore Note DIN 58405 Sheet 2, Section 1.2 e and Footnote 12) H7 32 21 2Ifrom Permissible total erSect. 6 ror range FY Permissible tooth to ilfrom tooth composite error f Sect. 6 : 2lfrom Permissible face Sect. 6 alignment error fß Base tangent length allowances 9 The baae tangent length or the dual cone width according to DIN 58405 Sheet 3 , Section 1.2.17 or 1.2.13 should be entered in the drawing. 4.1 7. 4.1.8. 4.1.9. Zlfrom - Sect. 6 AWu Aw0 214.1 - 21 - 41 Dual cone width A N O allowances ANu Allowances Adk of tip circle diameter with indirect base tangent length measurement (only for topped spur gears) Plfrom Sect. 6 - 2/45 213.1 - - 1." The tip circle diameter d' according to equation (349 should be entered in the drawing. T- --``,`,,`,,```,,`,`,,,``,```,`-`-`,,`,,`,`,,`--- Page 6 D W 58405 Sheet 3 DIN 58405 Equation or remarks Equation Result Gear 1 Gear 2 Unit I Sentre distance a" in aual flank roll tester with master gear Dual flank roll ABo tester centre aistance allow- A i u ances ~ (40) or (41) Shaft Permissible radial runout frw IS0 grade of seating diameters of gear and --``,`,,`,,```,,`,`,,,``,```,`-`-`,,`,,`,`,,`--- bearing Bearing Permissible radial clearance SL Dimensional, geometrical and running accuracy Permissible radial runout of rolling bearing outer ring frL Housing Centre distance allowancee * a o and ' a u IS0 tolerance zone of y 211.2 d 2 / fro Equation (42) to (45) or (47) to ( 5 0 ) Tolerance to be split if intermediate bushes and/or rolling bearing inner rings Note DIN 58405 Sheet 2, Section 1.2 c for gear bearing '- I 24 for gear 2 : IS0 clearance fit H51g5; @ tí for gear 2: Eccentricity of seatings on shaft ;ect. 6 bearing bores 2" 1I 215.1 When rolling bearings and insert plain bearings are used, equations (52) and (53) should be applied. f o r gear 2: 211-2c IS0 tolerance zone o f a x i a l bore Permissible error in axial parallelism f P HHI 28 min 2. Check calculation 113.6 'dmSi= 'd max + 'd 2 n min f 0,6 d mir ' - 'd L *I - ',I max and 'd min from equations ( 2 5 ) and (261, with 100 % absolute tolerance addition equations (27) and (28) should be used 59. I Contact ratio E 1/3.3 - DIN 58405 Sheet 3 Page 7 6 Auxiliam calculations and remarks . re 3.1. do = 4 8 . 0 , s do = 24mm do 2 = 96 ' 0,5 do2=48mni re 3.3. dki = 2 5 , l mm d ~ = 49,l mm 2 re 3.4. re 4.1.2. re 4.1.10. a II 1= a, 24 + 3 8 2 31 mm re 4.2.1. Shaft 1: Seatings for gear and bearing ground overall, hence only the radial run-out of the rolling bearing inner ring ( I O pm£ PO 2 , see 4.3.2) is effective. Shaft 2 : Only the running and intermediate bushes belong to shaft 2. Running hush: f,, = 12 p m Intermediate bush: f,, = 12 pm -____ f r w = 24 vm N o t e : The eccentricities of the seatings on the shaft must be allowed for in the centre distance tolerance. of bore in the intermediate bush in this case re 4.2.2. re 4.4.1. *Grade F o r Aa a value of 5 2 pm is entered in the drawing of the gears. For the drawing of the housing equation (52) applies. Ti3 = 64 - 15 - 6 T B = 43 piii I I f ,i = t 22 pm --``,`,,`,,```,,`,`,,,``,```,`-`-`,,`,,`,`,,`--- page 8 DIN 58405 Sheet 3 Gear , A l ; ...... ............