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BS ISO 6336-3:2019:2020 Edition

BS ISO 6336-3:2019:2020 Edition

$198.66

Calculation of load capacity of spur and helical gears – Calculation of tooth bending strength

Published By Publication Date Number of Pages
BSI 2020 66
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This document specifies the fundamental formulae for use in tooth bending stress calculations for involute external or internal spur and helical gears with a rim thickness sR > 0,5 ht for external gears and sR > 1,75 mn for internal gears. In service, internal gears can experience failure modes other than tooth bending fatigue, i.e. fractures starting at the root diameter and progressing radially outward. This document does not provide adequate safety against failure modes other than tooth bending fatigue. All load influences on the tooth root stress are included in so far as they are the result of loads transmitted by the gears and in so far as they can be evaluated quantitatively.

This document includes procedures based on testing and theoretical studies such as those of Hirt[ 11], Strasser[ 14] and Brossmann[ 10]. The results are in good agreement with other methods (References [5], [6], [7] and [12]). The given formulae are valid for spur and helical gears with tooth profiles in accordance with the basic rack standardized in ISO 53. They can also be used for teeth conjugate to other basic racks if the virtual contact ratio ??n is less than 2,5.

The load capacity determined on the basis of permissible bending stress is termed ā€œtooth bending strengthā€. The results are in good agreement with other methods for the range, as indicated in the scope of ISO 6336-1.

If this scope does not apply, refer to ISO 6336-1:2019, Clause 4.

PDF Catalog

PDF Pages PDF Title
2 undefined
7 Foreword
8 Introduction
11 1 Scope
2 Normative references
12 3 Terms, definitions, symbols and abbreviated terms
3.1 Terms and definitions
3.2 Symbols and abbreviated terms
17 4 Tooth breakage and safety factors
5 Basic formulae
5.1 General
18 5.2 Safety factor for bending strength (safety against tooth breakage), SF
5.3 Tooth root stress, ĻƒF
5.3.1 General
5.3.2 Method A
5.3.3 Method B
20 5.4 Permissible bending stress, ĻƒFP
5.4.1 General
5.4.2 Methods for determination of permissible bending stress, ĻƒFP ā€” Principles, assumptions and application
21 5.4.3 Permissible bending stress, ĻƒFP: Method B
22 5.4.4 Permissible bending stress, ĻƒFP, for limited and long life: Method B
24 6 Form factor, YF
6.1 General
25 6.2 Calculation of the form factor, YF: Method B
6.2.1 General
27 6.2.2 Parameters of virtual gears
28 6.2.3 Tooth root normal chord, sFn, radius of root fillet, ĻF, bending moment arm, hFe for external gears generated with a hob
29 6.2.4 Tooth root normal chord, sFn , radius of root fillet, ĻF , bending moment arm, hFe for external gears generated with a shaper cutter2)
34 6.2.5 Tooth root normal chord, sFn, radius of root fillet, ĻF, bending moment arm, hFe for internal gears generated with a shaper cutter2)
7 Stress correction factor, YS
7.1 Basic uses
7.2 Stress correction factor, YS: Method B
35 7.3 Stress correction factor for gears with notches in fillets
7.4 Stress correction factor, YST, relevant to the dimensions of the standard reference test gears
36 8 Helix angle factor, YĪ²
8.1 General
8.2 Graphical value
8.3 Determination by calculation
37 9 Rim thickness factor, YB
9.1 General
9.2 Graphical values
9.3 Determination by calculation
9.3.1 External gears
38 9.3.2 Internal gears
10 Deep tooth factor, YDT
10.1 General
10.2 Graphical values
39 10.3 Determination by calculation
11 Reference stress for bending
11.1 General
11.2 Reference stress for Method A
11.3 Reference stress, with values ĻƒF lim and ĻƒFE for Method B
12 Life factor, YNT
12.1 General
40 12.2 Life factor, YNT: Method A
12.3 Life factor, YNT: Method B
12.3.1 General
12.3.2 Graphical values
41 12.3.3 Determination by calculation
42 13 Notch sensitivity factor, YĪ“T, and relative notch sensitivity factor, YĪ“ rel T
13.1 Basic uses
13.2 Determination of the notch sensitivity factors
13.2.1 General
13.2.2 Method A
13.2.3 Method B
13.3 Relative notch sensitivity factor, YĪ“ rel T: Method B
13.3.1 Graphical values
43 13.3.2 Determination by calculation
48 14 Surface factors, YR, YRT, and relative surface factor, YR rel T
14.1 Influence of surface condition
49 14.2 Determination of surface factors and relative surface factors
14.2.1 General
14.2.2 Method A
14.2.3 Method B
14.3 Relative surface factor, YR rel T: Method B
14.3.1 Graphical values
50 14.3.2 Determination by calculation
51 15 Size factor, YX
15.1 General
15.2 Size factor, YX: Method A
15.3 Size factor, YX: Method B
15.3.1 General
15.3.2 Graphical values for reference stress and static stress
52 15.3.3 Determination by calculation
54 Annex A (normative) Permissible bending stress, ĻƒFP, obtained from notched, flat or plain polished test pieces
62 Annex B (informative) Guide values for mean stress influence factor, YM
64 Annex C (informative) Derivations of determinant normal tooth load of spur gears
65 Bibliography

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BS ISO 6336-3:2019
$198.66