BS ISO23509:2016 BSl Standards Publication Bevel and hypoid gear geometry bsi. BS ISO 23509:2016 BRITISH STANDARD National foreword This British Standard is the UK implementation of IS0 23509:2016. It supersedes BS IS0 23509:2006 which is withdrawn. The UK participation in its preparation was entrusted to Technical Committee MCE/5/-/13, Bevel gears. A list of organizations represented on this committee can be obtained on request to its secretary. This publication does not purport to include all the necessary provisions of a contract. Users are responsible for its correct application. @ The British Standards Institution 2016. Published by BSI Standards Limited 2016 ISBN 978 058086045 4 ICS 21.200 Compliance with a British Standard cannot confer immunity from legal obligations. This British Standard was published under the authority of the Amendments/corrigenda issued since publication Date Text affected BS ISO 23509:2016 INTERNATIONAL ISO STANDARD 23509 Second edition 2016-11-15 Bevel and hypoid gear geometry Géométrie des engrenages coniques et hypoides Reference number IS0 23509:2016(E) (so @IS02016 BS ISO 23509:2016 IS0 23509:2016(E) COPYRIGHT PROTECTED DOCUMENT @ IS0 2016, Published in Switzerland All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting on the internet or an intranet, without prior written permission. Permission can be requested from either Iso at the address below or ISO's member body in the country of the requester. ISO copyright office Ch. de Blandonnet 8 . CP 401 CH-1214 Vernier, Geneva, Switzerland Tel. +41 22 749 01 11 Fax+41227490947 [email protected] www.iso.org ii @ IS0 2016 - All rights reserved BS ISO 23509:2016 IS0 23509:2016(E) Contents Page Foreword V Introduction. vi 1 Scope. 2 Normative references.. 3 Terms, definitions and symbols... 3.1 Terms and definitions.. 3.2 Symbols... 4 Design considerations. 4.1 General. 4.2 Types of bevel gears.. 10 4.2.1 General..... 10 4.2.2 Straight bevels. 10 4.2.3 Spiral bevels. 10 4.2.4 Zerol bevels. 10 4.2.5 Hypoids. 4.3 Ratios. 4.4 Hand of spiral. 4.5 Preliminary gear size 12 5 Tooth geometry and cutting considerations.. 12 5.1 Manufacturing considerations. 12 5.2 Tooth taper... 12 5.3 Tooth depth configurations... 14 5.3.1 Taper depth .... 14 5.3.2 Uniform depth... 15 5.4 Dedendum angle modifications..... 17 5.5 Cutter radius .. 5.6 Meanradiusofcurvature .7 5.7 Hypoid design... 18 5.8 Most general type of gearing .. 18 5.9 Hypoid geometry.. 19 5.9.1 Basics.. 5.9.2 Crossing point. 21 6 21 6.1 Initial data for pitch cone parameters . 21 6.2 Determination of pitch cone parameters for bevel and hypoid gears.... 22 6.2.1 Method o.... 22 6.2.2 Method 1... 22 6.2.3 Method 2.. 26 6.2.4 Method 3.... 31 Gear dimensions 33 7.1 Initial data for tooth profile parameters. 33 7.2 Determination ofbasicdata.. 36 7.3 Determinationoftoothdepthatcalculationpoint .38 7.4 Determinationofrootanglesandfaceangles.... 38 7.5 Determination of pinion face width, b1 40 7.6 Determination of inner and outer spiral angles 42 7.6.1 .42 7.6.2 Wheel.. 43 7.7 Determination of tooth depth..... 7.8 Determination of tooth thickness 44 7.9 Determination of remaining dimensions . @ IS0 2016 - All rights reserved ii BS ISO 23509:2016 IS0 23509:2016(E) Contents Page Foreword V Introduction. vi 1 Scope. 2 Normative references.. 3 Terms, definitions and symbols... 3.1 Terms and definitions.. 3.2 Symbols... 4 Design considerations. 4.1 General. 4.2 Types of bevel gears.. 10 4.2.1 General..... 10 4.2.2 Straight bevels. 10 4.2.3 Spiral bevels. 10 4.2.4 Zerol bevels. 10 4.2.5 Hypoids. 4.3 Ratios. 4.4 Hand of spiral. 4.5 Preliminary gear size 12 5 Tooth geometry and cutting considerations.. 12 5.1 Manufacturing considerations. 12 5.2 Tooth taper... 12 5.3 Tooth depth configurations... 14 5.3.1 Taper depth .... 14 5.3.2 Uniform depth... 15 5.4 Dedendum ang