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Ch14 - bud21932_ch14_713-764 1:42 AM Page 713 CONFIRMING...

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Spur and Helical Gears Chapter Outline 14–1 The Lewis Bending Equation 714 14–2 Surface Durability 723 14–3 AGMA Stress Equations 725 14–4 AGMA Strength Equations 727 14–5 Geometry Factors I and J ( Z I and Y J ) 731 14–6 The Elastic Coefficient C p ( Z E ) 736 14–7 Dynamic Factor K v 736 14–8 Overload Factor K o 738 14–9 Surface Condition Factor C f ( Z R ) 738 14–10 Size Factor K s 739 14–11 Load-Distribution Factor K m ( K H ) 739 14–12 Hardness-Ratio Factor C H 741 14–13 Stress Cycle Life Factors Y N and Z N 742 14–14 Reliability Factor K R ( Y Z ) 743 14–15 Temperature Factor K T ( Y θ ) 744 14–16 Rim-Thickness Factor K B 744 14–17 Safety Factors S F and S H 745 14–18 Analysis 745 14–19 Design of a Gear Mesh 755 14 713
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714 Mechanical Engineering Design 1 500 Montgomery Street, Suite 350, Alexandria, VA 22314-1560. 2 The standards ANSI/AGMA 2001-D04 (revised AGMA 2001-C95) and ANSI/AGMA 2101-D04 (metric edition of ANSI/AGMA 2001-D04), Fundamental Rating Factors and Calculation Methods for Involute Spur and Helical Gear Teeth, are used in this chapter. The use of American National Standards is completely voluntary; their existence does not in any respect preclude people, whether they have approved the standards or not, from manufacturing, marketing, purchasing, or using products, processes, or procedures not conforming to the standards. The American National Standards Institute does not develop standards and will in no circumstances give an interpretation of any American National Standard. Requests for interpretation of these standards should be addressed to the American Gear Manufacturers Association. [Tables or other self-supporting sections may be quoted or extracted in their entirety. Credit line should read: “Extracted from ANSI/AGMA Standard 2001-D04 or 2101-D04 Fundamental Rating Factors and Calculation Methods for Involute Spur and Helical Gear Teeth ” with the permission of the publisher, American Gear Manufacturers Association, 500 Montgomery Street, Suite 350, Alexandria, Virginia 22314-1560.] The foregoing is adapted in part from the ANSI foreword to these standards. This chapter is devoted primarily to analysis and design of spur and helical gears to resist bending failure of the teeth as well as pitting failure of tooth surfaces. Failure by bend- ing will occur when the significant tooth stress equals or exceeds either the yield strength or the bending endurance strength. A surface failure occurs when the significant contact stress equals or exceeds the surface endurance strength. The first two sections present a little of the history of the analyses from which current methodology developed. The American Gear Manufacturers Association 1 (AGMA) has for many years been the responsible authority for the dissemination of knowledge pertaining to the design and analysis of gearing. The methods this organization presents are in general use in the United States when strength and wear are primary considerations. In view of this fact it is important that the AGMA approach to the subject be presented here.
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