TAILIEUCHUNG - Handbook of Machine Design P41

Under ideal conditions of operation, bevel and hypoid gears have a tooth contact which utilizes the full working profile of the tooth without load concentration in any | BEVEL AND HYPOID GEARS TABLE Formulas for Computing Dedendum Angles and Their Sum Type of taper Formula Standard S5 tan 1 tan-1 Am Am 8p tan S6 6 Am Duplex 90 l - Wrjsinfl P A tan 0 cos ip S b0 Zb - iP h Tilted root line P iA0 tan j cos or tan-1-7 tan-1 Am Am whichever is smaller. ip - y ia Zb-bP Uniform depth Zb 0 0 AGMA References The following AGMA standards are helpful in designing bevel and hypoid gears AGMA Design Manual for Bevel Gears 2005 AGMA Rating Standard for Bevel Gears 2003 These are available through American Gear Manufacturer s Association 1500 King Street Suite 201 Alexandria VA 22314-2730. GEAR STRENGTH Under ideal conditions of operation bevel and hypoid gears have a tooth contact which utilizes the full working profile of the tooth without load concentration in any The notation and units used in this chapter are the same as those used in the AGMA standards. These may differ in some respects from those used in other chapters of this Handbook. TABLE Formulas for Computing Blank and Tooth Dimensions of Hypoid Gears Item No. Formula Pitch diameter of gear 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 d n m N I Po AS - 90 - S cosAS 1311 m sin AS R 27 - Fsin T . E . sin C sin r R Kx tan l po sin ej cos Rp2 tnRKx tan v first trial A tan T cos AS sin AS Rn . E Rn sin it sine2- R tan y2 Sm 777 tan AL cos tj tan c2 cos AL . sin e2 cos AS sin e2 cos 2 4 K COS tan l p2 sine2 AAT sin e2 tan Po tan ra m AK K . . AA . sin C sin e2 sm ij R Pinion pitch angle 18 19 sini tan 7 tan AS cos tan C cos AS . sin C cos AS sin ei COS 7 Pinion spiral angle 20 K AK cos ei tan ip 1 sine. TABLE Formulas for Computing Blank and Tooth Dimensions of Hypoid Gears Continued Item No. Formula Gear spiral angle 21 Ac ei Gear pitch angle 22 . sine _ ÀT tan r - 1 cos tan AS tan 7 cos AS Gear mean cone distance 23 J R Ama sinT Pinion mean cone distance 24 ARp R IX. 25 _ Rn ARf mr sin y 26 RP Tmpsiny Limit pressure angle 27 tan 7 tan

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