Tabel Dan Grafik Gear

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    22.7 Tables and Diagrams for the Calculation ofS pur and Helical Gea rs

    129

    Tibk 22/11. Guidanc i for

    Bd

    IkgVmm21 for spur and hciical gears with C =

    2W

    Tible 22/12 Guidance on lubrication and gcar quality, twth crroct

    /.

    and f,

    - --

    0,35kD i

    B =

    iC0858O~Ssa(i

    +

    11

    S

    fmm Tablc

    22/13

    for S 2

    1:

    for

    S.

    <

    1:

    k

    from Tablc 12/26

    Table 22/13. Guidancx on thc ncccsrms safcty factor

    B d = B

    B m I = B o to

    3x

    wit

    substitution o f

    Se= 1

    C

    from Tablt 22/18

    Factor

    ofuiay rgaiaa

    k iic

    gcaringl

    Finite

    lifc g c a M g

    t

    periphcral velocity

    i

    lmlrecl

    Lubication

    Quality

    actors

    Suifacc rough

    DIN 3962

    l

    nc/i,,:t

    0

    ...

    0,8

    0.8

    4

    4 ...

    2

    Automobiles:.

    Firsl und revcrsc

    g

    . . . . 1

    ...

    40 40 -..ZOO 2 0 0 . - .

    H i g h s g c ar s . . . . . . .

    Grcase application

    Grease or splash

    lubrication

    Splash lubricaiion

    22/14.

    Guidancc on f d4 os d Lirc

    L,

    Ir

    ~

    Finite

    Iifc

    ~eating L,

    lhourri

    Machinc tw ls

    . . . . . . . . .

    Lfling equipmenf:

    Hand winchcs , c tcc t r ic hois t r

    Piece goods winchs . . . . . .

    Grab winchcs . . . . . . . .

    T h c

    swfacc

    roughnerr is not

    s cd in

    DIN 396 2 cvcn though it

    has a

    g m t c f fm o n thc surfacc load capacity sec

    thc

    fwtn otc re fc md 10

    at

    the cnd of itcm a) piaing

    in

    s d o n 21.5.2).

    For

    the combinaöon of t w t h surfacxs and 2 R,

    =

    0.5

    Ra

    +

    4 3

    Noie: Base pitch error from DIN 3961:L , ~ g ,3 + 0.3

    m

    +

    0 2

    6 P]; ootll-dircctional

    error

    a s per the suggeslion o f

    FZG:/, g b=

    h a n g m g e z r s without crou,ning of the 100th s u m i i i t h ro~ vning.= 0.3 with cro\i>ning and straddlc m ountins

    ..

    af tlie hevel Fnion.

    1 6 .

    10

    6 3

    4

    2.8

    1 4

    1

    0,7

    4 .

    3 3

    2.6

    2.0

    1 G

    1.3

    1.0

    0 8

    o,64

    cast

    coarsely cur aur

    finish machiwd

    coaise ground

    1 2 - . . 6 0

    j

    9

    ...

    5

    2

    ...

    3

    ...

    .5

    2

    12

    11

    I 0

    9

    100

    W

    l O . . - 8

    4 0 . - . 2 0 0

    ...

    20 W

    fine ground

    Spray lubncation

    ,naster gear

    5

    4

    finc

    finirhed

    shaved

    Traslorr

    -ga

    vdiclcr

    7 1 2

    6

    G d

    vchiclcs

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    13

    I

    22

    Spur and

    Hcltcal Gears Desisn and Calculal~on

    Tibk

    22/15.

    Module saia

    25,4/Di

    25,4

    Ci/*; t,

    25,4

    n/D9 25.4 Ci; x 3,141593; 1 = 25.4 mm,

    DIN

    4890).

    Tablc

    ZU16.

    Minimum number of teeth ;

    in

    thc

    normal scctian

    For

    209

    nandard teeth: z . z >_ 24

    r > 12 for vcry iow vclocity; z S 14 for medium vclociiy; 1 2

    8

    for large velocity

    For ZU f rh (at

    mdium vclocity)

    I z.limasdb~tn -mim

    W b v P a n t d W

    Tibk 21/17.

    W u m

    alun ofq , i i

    5,-

    = hichas of thc

    u n m portion of

    th gear rim

    m, 6/10 Ckrncazt

    tc h

    m,,1 /15

    cut

    t~~th

    caringwppn tajm rted

    trmriirrr

    ar ovahao* pinim

    .. m

    6/25 aocuratdy cui

    wen suppaiud

    g a

    m ~ b ß O

    aauratc lynhamiratd~pdd~ngadarpport

    m 6/50

    cui

    b /4 C 1

    pPiUd

    aad rigid support

    b/db1 0,7

    b/dbl .2 rixid.Ildmc

    mmdimsdrit= w

    igatz2m

    For

    ouble-helical gears.

    b i s thc l

    width

    for on

    h d u .

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    22.7

    Tables and Diagrams

    for

    thc Calculalion

    1

    Spur sn d Hel ical

    Gears

    Tabk Z t / l Guidana

    for

    ih

    sdec t i on of

    thc

    shock factor

    C

    T = M „JM whcre

    M .

    is

    the

    rep~e?didly ppticd max imm cxlcrnal torquc and I, is this nominal torquc of the

    cdculation.

    U thc starting

    torquc

    M

    is

    thc

    dcciding torque

    M- =M

    is 10

    c

    ceiculatcd

    as in

    wction 20.4.8.

    Dxiven rnnchins

    Gen erato rs fecdinp mechanisms belt convey ors light

    hoista. turbo-blowers and compressors. apitators and

    mixers Tor uniform denrity

    Muin drivcs of machine twls. heavy hoisis cranc rotary

    drivcs. mine ventilaiorr. agitatars and rnixers Tor non-

    uniform densit?. multicylindcr pirton pum ps. distribution

    Pumps

    Prcs ses slicars do us h mills rolling rnills and steel works

    machin ery powe r showcls. h e a y centrifuges hear dis-

    tribution pumps

    n

    Fig. 22/37.

    Dynamic

    load factor

    C

    a o d y

    f I argM

    of

    thcwt aron / ,

    fl.

    -

    dsck=

    d s c c

    kglmm =

    kgflmm

    DnvUig machinc

    Single

    cylindm

    1 5

    V

    1 75

    2 25

    Turbiic

    multi

    cylLidsr cngUis

    1-1

    1.25

    25

    1,5

    1.76

    1 0

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    132

    22

    Spur and Helical Gcarq Daign and Calculation

    Tabk 22/19. Load

    dim ibutio n facto r C, for

    T

    ,&. o U C , C,), fro m s d o n 2 2 2 4

    C,= l for

    the

    mmKmation St/St:x0.74 for St/CI;=O.55 for

    CVCI:f .

    fmm Tablc 22/12:

    .

    .

    .

    C lin) for

    linenr

    load dirtnbutioa urc whui C b a r ) s not cnsurcd);

    C, (p ar ) Tor

    plrabolic

    bad disbibution aRa thc cn

    Nnnuip-in under

    load).

    ~ n b l eZIZG

    Delcrmina tion af&. and C, for thc operaüng periphcral farce U C, C, whcn

    the

    load carrying face widlh b' (at

    thc r o k g circlc)

    is

    known fram thc "tooth contan markiig" at thc peripheral force U

    Takc fram Ta c 22 20: T for (b/bY;j,. = T U,/(CP),

    Take from Tsble 22/19:

    C

    for

    T= T

    U,/(U C, C,).

    T

    (lin)

    is valid for

    linear

    load diruibution

    ovcr

    b'

    T  par)

    is vgid for pmbo l i c Ioad dimibution

    over b'

    F 22/38. Fi-tor CB for

    hciiul g w n

    wit 204

    For ß=0. C p = l ; f o r

    F,=

    2, 3 ... CB=1.4/c; for

    E>

    1,

    CBx 1 . 4 1 ~

    li) = 1.75.

    6 1 7

    12

    5

    _ _

    8 9

    18

    I

    3

    i4

    _ _ - - _ P -

    6

    I E l

    10.7 12

    1,3

    : l f

    I l . 5 i 2 E 6

    2 6 8 1 3 4 5

    _ I

    b ' ) =

    =

    1 1 . 2

    2

    6,66

    5,33 8 9,3373

    1.86

    2

    2.66

    3.33

    p ( p s r ) =

    upto1,33 1.6

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    22.7

    Tables and D iagrams foi the Cdculation ofSpur and Hclical

    Gedrr

    13.;

    & i h d c u l a t i o n q u a n -

    titicr dcpendent on helu angle

    Pa. for

    209

    6. ~ 0 9 8 ,

    cq j ;,j7,

    On

    1.m 1 m

    I 0 999i 1.000

    Fig.

    22/39.

    Contact ratio

    E

    =

    ,

    E

    in

    Uansvcrsc section and

    E,

    =

    dcos

    B

    in

    normal

    wcrion.

    8

    and rom the diagram with

    =

    d„/z

    =

    d„l i and h„

    =

    0 5

    du

    d„I

    and h„

    =

    0 5 d„

    a: .

    - -

    -

    i~ ,

    (tan a„

    an

    U,)

    Equalian for diasram:&,

    =

    Ik, s h„

    a„ from cos

    a;, =(WS

    o,) d„ld„:

    a,

    from sin

    a

    = rin

    a,/cos

    ß

    Inncnverrahnung

    =

    nternal

    cth;

    Au cnverzahnung

    = external teeth.

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    134

    22

    Spur

    snd

    Helical

    G m .

    esign

    2nd

    Calculalion

    Fig. 22/40. Root factor

    Valid for forcc application at tip Tor 2.25 m. wholc dcpth,

    a

    =.2R

    ero

    backlarh;

    mtiral

    wction at point af cantact of 309 tangent: gcnaation by

    rack

    ith 0.38 m tip

    ruunding

    and

    radial

    cluvmcc

    s =

    0.25 m..

    Tabk 21/23.

    Factor ?C

    ible 22/12. aclonqcandyc

    l

    Gcar

    1 is

    the dnvcr:

    qZl 1,41 en 04 )

    ~4

    1,41 sy1 0,4)

    Gar

    is thc driva:

    i41 €w 0.4)

    q 8 = 1,4/ r, 0.4)

    = Normal a n t M ratio from Fig.

    22 39

    T 12/24.

    Faclor y

    ß

    for

    r r o 20

    uit

    r in [mlsecl m.

    in Imml

    md

    f n pl

    = high of

    hc

    tooth

    31

    e=on L> L .

    32

    33

    34

    2 27

    2 23

    2 19

    2 1 6

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    22 7T ab ler an d Diagrams for the Ca1culation;of spur 2nd Helical Gcars

    135

    Tnblc 2 Z h . Material data*' (canvm.on for othcr operaiing condjtions is givm in Tablcs 22/26, 27, Figs. 22/41, 42)

    thc

    table.

    For th c cambiiat ion of tmth nina eej 1 and

    Rc 0.5

    (R, +Ra); dist of 17

    n

    k

    s

    ans i dc r cd

    in

    the fwlnotc

    referrr3 to at the ~ n df item (a), "pitting"

    in

    so21 1121 5 2

    h c rnatcrials 31 to 35 are newly included in t he w m nd r cpr in t and m a l c d s

    7,

    17 und 26, which arc

    vcry

    littlc uscd,

    Matsial

    T& pi e in thc find n ~ h sear Sur:

    condition

    ==#

    --

    s f lm k ~ m m

    on

    I

    U nm

    tptlmm

    ksfimm

    18 170 0.19 4-5 18

    Dm gmion

    GG 18

    GG

    26

    fcmtic

    pcarlitic

    S 52

    CS 60

    No.

    1

    2

    4

    6

    26

    60

    70... 75

    52

    60

    Type end T t e m u i t

    Grey cast iron

    Mdleable cast iron

    Cast stcel

    8

    9

    10

    1

    Machine stcel

    Qucnched and lcmpered

    St50.11 SO... 60

    St60.11 60...

    0

    Stif&ll, 70:.. 85

    i 50... 60

    12

    13

    14

    15

    16

    8

    19

    20.

    21

    22

    3

    24

    25

    7

    28

    9

    30

    31

    . 32

    33

    34

    -

    -

    21

    24

    0.33 6,O 26

    170

    250

    150

    175

    IThc tcn 8- wcre m o d y of thc foliaaing dimcnsionr:

    rn

    =3 mm; I,= 27, z,= 34, b= 10 mm; 200-Standard tel li:

    V = 8 mlwc. InBumocs on load capaaty re cansidcred

    is

    t s ti o n s 2 2 2 8 and

    21.6.

    'Up to 35 highcr vdues X mahing with a ucrc-hardmed and üneground

    s t d

    gear.

    'For =

    12

    mlsec and ground I mating gear.

    'Valid for huet radius of curvatu rc r

    0.2 m

    'Valid Tor c aw hardcning beyond thc rm t fiUet: a b u r 20% lowcr

    if

    through-hardencd:

    o,<

    25 kgf/mma ifcase-hardencd

    on t he t w t h Rank only.

    'Corresponds to the cwcntly U& C - V ~ U C= Ulbt = 0.8 kgf/mmz.

    'For ninning uith a matilig acel

    gear

    o l a b u l t he samc hardnesq oii

    Wcasity

    100cSt and suriace roughncss given in

    0,32

    0.64

    0,21

    0,30}'

    23-..28

    28...33

    3>...40

    22...27

    150

    180

    208

    140

    stcel 65.- 80

    da 90

    -

    34Cr4 90

    ? & S i 5 SO... 95

    42ciXo4 95...110

    Cs%-carbwizcd stccl 5 5

    hardcned st l

    5

    25

    5

    7,s

    0,231

    30-..34

    34...41

    36...44

    38...46

    46...54

    27

    -

    -

    -

    -

    -

    -

    -

    -

    -

    -

    55

    65

    80

    60

    9.3

    80...110

    100.-.I30

    90...120

    120...145

    65..- 80

    90...105

    90...110

    140...180

    150...190

    -

    -

    Flame

    ar induction

    hardcned stcel

    Cyanidcd stcel

    Laminatcd,plasiic

    100

    140

    47

    52

    3,O

    16iIbCr5

    20iIbCr5

    15CSi6

    18fiSi8

    Cbr45-

    37MnSi5

    53&Si4

    41Cr4

    37HnSi5

    m ~sc

    6ae

    4s5

    -

    -

    -

    -

    -

    -

    0,40

    0,51

    ,

    0,801

    WO

    0,80

    4,9

    5.0

    5.0

    5,O.

    5.0

    4,3

    185

    210

    260

    260

    300

    S.G. i rcn 80.-- W

    Batii-nitrided sie 55 M

    80

    90

    90

    95

    110

    . 95

    140

    160

    160

    i O

    140

    23

    25,6

    31,5

    2

    42

    47

    44

    47

    90

    270

    360

    310

    400

    220

    270

    275

    460

    470

    -

    Bath-nitided

    Gas-nihidcd

    sie

    3,O

    2...3

    736

    650

    650

    650

    650

    95

    560

    615

    95

    550

    300

    450

    660

    700

    3,O

    3.0

    6,O

    3,7

    4.5

    4.3

    3,6

    .E amcor ind~~ct ion n l

    2fi~0104 0

    . 110

    42CrX04

    31CrXoVQ

    125

    35

    10

    32 I90

    35 200

    .

    17

    110

    1,s

    1.8

    2,7

    3,s

    85+ 90

    70f 85

    22

    31,s

    68.0

    45,O

    140

    110

    150

    1

    3.0

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    22 Spur and Helical

    Gears,

    Design and Calculation

    Tsblc 22/26. Surface nren;lh

    $ '

    and full-load life L,

    k~

    =Ya YE YSY JG

    -

    with k from Tablc 22/25, for the calculation of the safcly factor S .

    with

    k

    fram Fig. 22/41. for prercribcd Ne

    L,.

    Factor ; Tor mnning of thc material of

    Tablc 22/25 with stcel

    y 1.5 for running with cart iran

    y

    0.5 + 2.1

    X

    10

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    22.7

    Tablcr and Diapranis for

    ihc

    Calcuiation of

    Spur

    and Helical Gears

    I 7

    Tible

    22/23.

    Guidance on ail viscosity

    V

    (cSt at 50°C for cn~ l os u l n v a

    mth

    45

    10

    90°C oil temperaurc

    rjo CfJj O.4

    10

    2O4'4.4

    Table 22/29. M„,,-valucs foi

    conmon

    gcar ailr

    SAE grade

    M„, Im ~ g f lor mincral oils

    Gssrr for

    oi V ;csl

    rüaiaht mild

    ndditivs crtreiiic

    prcrri

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    10/18

    erancangan roda gigi kerucut dan hipoid

    Tablc

    2311. Rccommendcd valucs for bcvcl gcars

    .5: hudeirc0 hlyoid g w s 2 fies rafhcr at

    Ihc

    lowcr

    limit

    md Torstraight toothcd unhardencd

    CL

    gcars rathtr at

    ths

    uppcr

    S i 1

    For

    dA

    =

    RQ

    and 6 S

    0,s

    Rb

    S

    0,15

    dbi

    fd

    = 2.83 2,27 1;10 134 1 2

    1,17

    r l

    d,co6d1 wsSß ; z

    P.+

    in

    Tlbk

    23/16

    6sIOd,looa~ j z l corresponding to

    b

    5 10

    I

    Tor Standard values Corni and

    b/Rbd

    2,

    bldbl

    S 0,75

    tri SEC Tablc

    22/15

    prcsrure

    rngk

    a

    2W

    ddendum h,,

    =

    h

    =

    m for

    zaeearllrg

    dtdcodum =

    h,, =

    1.1 m

    W

    1.3 m,'for zcto gearing

    mutionil b a e W S = 0.025 m. to 0.04 m

    TiMe z3/4 Rccommcndcd vaiucs Tor hypoid tooih bcvt i g~ willi positive arial disptaczmcnl m d 6, = 90 1

    Initial cstimates

    According 10 ihc choicc of

    d„

    i rod

    2a/d .

    . V 60 d„ Q s ß„ md ß„

    t0

    Tablc 23/3

    2a

    O,9i

    ,45 Tor light motor

    vchick.~

    nnd industrul dnvcs

    s

    drn9

    4-4

    .23

    Tor

    h u v y

    motor vchiclcs (tnick~f

    t g - i

    di

    = (1,3..

    1,s d,,/i

    (rot negative axial displaccmcnt

    d

    -i0.76

    d,e/i)

    Profile displaccrncnt

    z1

    1 5

    . . S i 9 i

    10

    I1

    2

    13

    14

    AVildhabcr

    123140 j

    j-__ ____---

    z „ = - tm o=

    ; 0,70

    1

    0.66 0,59 032 0 44 0,3S 0,30

    hlininiim

    number of

    tccth

    (Glcason)

    Morcovcr:

    Cm61

    coaf8m

    rat E z,

    in

    Tablc 22 16

    ___

    TmIh widlhr

    S0,31R W 2 or -0,lS

    d m ;

    mormvcr: b z s 10

    m

    bl s. fTab c 23;;;

    Prcraure

    anglc

    in normd-

    s =

    n ior

    wcetw

    whcd 61& rod convcx piuion unk

    sccrion for hypoid

    gcarinp

    (Wildhabcr [23/40]

    a =

    cn

    A n

    Tor convex wbccl Bank urd cuncdve p s o n fl nk

    2 R , ß

    --

    suißmrt in orZa to compnisetc Ihc

    cngagemcr,:

    tgdes;

    d „ 4 d,?

    conditions for IcR and

    nght

    fl s

    C .

    0

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    11/18

    156

    23 Bevel

    ears

    and

    Hypoid Gears

    Ti 231 Gmmetncd rclationships and dimcnsions for bevci guvr (Fig. 23/12)

    Indcx I for puiion,

    indcx

    2 for

    b v c i

    w h d , i n dc x

    n

    for quantiticr

    in

    Ih e n orm al s d o n . i n d u m for ilic middle of Ih c 100th

    width, index

    E

    far quivalent s x g m , ndex 0 cfcrs to pitch circlg indcx b rcfcrs

    ta

    opcrationnl rolling circle

    Noic UsuaUy r o l h g w n c aod pitch w n c wincidc so Ihat we have 6, = 6.,. d„ = d „ ctc.

    Dimcnrionr Rclationship

    Meahhg dh ea slo ni (mfemcd ta thc m h g

    cone)

    AUS

    angle

    R o h g w o c angle

    Roiüng w n e length

    Rolling ckcle diam ctcr

    (at Ihe

    back conc)

    L Rcdunian ratio

    .

    I

    Eq -

    rpm

    in

    1ß_ ~ r S ~ ~ r ~ ~ ~ . ( n o m a l r c a i o n ).

    d c g .

    „mas&=-aon

    19

    Hd*

    nglc dcg. P ' = &

    1 2

    1 3

    14

    1 5

    M u . h d -

    ( r c f d

    ta thc middle of the tooth v idh

    and

    roUing wnc)

    Numba

    f e h (nom integer)

    Rolling cirdc d iamaer

    dcg.

    mm

    T i p m e a a g l e

    5 Tiian.de

    E Addmdum

    .o

    L

    paiendum

    Addcndvm

    N c l c

    diamctcr

    Backcooilength

    Module intnnsMne d o n

    Module n eboa

    Tw Ih MdIh

    N u q b a d t c c r t i m d

    wction

    6~ = 61 6.

    ei n dd

    61 from t g 6 i = . 6 s = 6.4 1;

    c w d d

    R b

    = 0.5 dbi/9 dl = 0 5 d b 2 / s i n 6 2 ;

    mostiy

    Rb = R a

    2 For6, = 90 t g 6 , = / t g 6 1 = 1/oosd2 = /s inOl = V

     

    5

    I

    M.nuf*etudng

    dimcniioos

    (referrcd

    U

    thc pitch

    circle

    at Ihe

    back

    w n c )

    l

    mm

    1

    d b , = 2 E b a i n d l ; d b 2 = 2R b8i nd2 ; most ly db = do

    = 31zl = dbr /db , = e indn/ s indl

    c Pitch mnc anglc

    e

    deg.

    X

    &csrucanglc deg.

    Helix

    angle

    deg.

    b

    f b = - = - s i n 6 1 = - s i n 6 2

    b d a 1 d b 2

    mm

    h l „

    mm

    l ;n l .m, , ,= - rmn.m„

    W i d t h r i m m b k

    2311)

    Addendum

    Pmhlc

    displ scacnt

    601; 602

    =o,w,; t g = o = t g w J o o s ß o

    80

    F a dA= 00 :

    f b =

    dblY;a+i

    ~ 8 6 ~

    i

    -

    n/zcl

    = i- = t g 6 P j t g 6 1

    e C

    m a d 2

    ~ , ~ = y l ~ a d ~ ;. s = d w a 6 e

    d „ = d m ~ a o e 6 1 = d b l l - f ~ ) / w 6 ~

    dC2

    =

    dne/wt862 = d e l - i ,

    m,

    =

    G1/z l = d,Jz ,~ = .d ,dze2

    m„

    =

    m.wsß,

    =

    d,lwag,/z,l

    Numbcr of tocIh =I

    Pitch circle diameier

    Modulcin thc

    t r a n r v c r w d o n

    M in Ihe normal d o n

    Pitch mnc

    k a m nun

    Ra = 0.5ddain6,

    Tm & M dth

    mm

    i = ii:

    za~=z1Yi;41-?i7;2

    z l Z = i m

    d a „ = d d m

    d „ = G d „

    b, = 6

    =zC1-ZJZ; z

  • 8/18/2019 Tabel Dan Grafik Gear

    12/18

    23.4

    Displaccd Bevel

    Whecls

    (Hypoid Drives)

    63

    Tiblc

    2W3

    Gcometrical relationship and dimension fcr displaccd bevel gears Mth

    6, =

    900 (Fig. 23120)

    Index 1 for pinion, 2 for bevel wheel, indexp for crown-whsel: indcs c fr>icquii~nlent piir gcars: indcx s or equivalent

    spiral gears: index ni foi m a n dirnensions of bevel gears, index n far skes in normal section

    Dimmrionr I Uniu I

    dawodiips

    Mnhing

    dlmcodow (rcfcrrcd to rolling wnc)

    Axis angle (angle ofinterscction)

    Rolling conc angle

    Distancc from the

    Mir a;

    in thc plane of the crown

    whcd op= R m i in q p

    Rcduction ratio

    Number af tceth

    Displaccmcnt angle

    Anglc ofw nta ct

    M- d i m d a n s (rcfcrrcd to the conract Point

    P

    of fhc rolling

    conc :

    I

    Hclk

    anglc in hc plane of

    tbc

    i d m d d a z

    -

    o s v ,

    cmwn wha l ~ Q P

    for negative

    axial

    dirplaccmcnt, Pm <

    Brne

    Piesrure anglc (normal sectian)

    dcg.

    I

    an

    d m z m g m n W ß l

    3tci1 rjrdc diamera

    mm d m l ; d - 2 ; d m i = = ~ i :

    e o a h i

    sin

    bs

    Anglc of i s (anglc of

    iotcrwcrion)

    Hclix angle

    Prcrsurr aogic in normal d o n

    Moddc in aormal

    d o n

    Pitch w ne length

    mm

    ToothMdth =

    I

    For tmt W pm6lc

    t, iddindum sos

    m m imcnsiom

    e g ~ - e r - w - ~ - C ~ a : - c - ~ ~ o t i

    )

    (darod-U>- W-pointk,

    „ = O,5

    dml/aind1;

    R,z = 0,5dm2/s in62

    b ~ 0,18 d , ? ; b 1 = b J c o a q p + 3 m n @ p l p

    ReduFtion RBtio

    ~ u m b af

    W - in- )

    Pitch cirde

    diamdp

    Module in n o d n

    Rcdudion ra jo

    Prodle displaccmat (Tablc 2314)

    ~ , ~ m ~- = m z ' m

    A d d a d m

    z I h t , i .

    h t m z

    Minda g

    mclidoru

    wt Tablc 2312)

    E q d v s k n t ipfril 8-

    Ciadu s (referred to roiüng mint)

    Numba o f W

    (non-integer)

    ze

    = zc

    ,

    l d ¿ ;

    2.n -861

    ,-

    C-6n

    Pitch cirdc di a m w

    dmz

    d d =

    cosd2msPqp

    Modu e

    normal d o n

    mm

    mm

    Too Mdth

    Numba

    of mth . normal an

    z r n 1 = z e l z J ~ ; ~ , , ~ = Z , ~ ~ J Z

    ith Z J Z fmmTablc22121

    Pm ph aa l velocity

    1

    s

    1

    o

    =

    al = dm l nJ19100

    for prodle displaczmcnt und addcndum

    sec

    mcan dimcnsions

    z„

    =

    z , / m s O l ; 2 2

    =

    / ~ 6 9

    d r i = d , , , l / ~ d l ;

    d 2 = d m d w d n

    m,.=m„

  • 8/18/2019 Tabel Dan Grafik Gear

    13/18

      erancaizgan rodagigi cacing

    fable 24/1.

    imensions

    of wornis Fig.

    24/18)

    Tabk U/1 Empirical valuer for

    2 . 2 .

    d„/o rr =z,

    +,?X,

    and S

    E-worms: normal

    k

    buiit

    wilhim th

    limits

    1 i o

    H-worms:

    normal

    2r 2 buiit within thc limits

    = ro 3)

    Check

    Tor undercurting in

    th

    ctntrc oT thc whcel Tor A - w o n

    as

    lirniling

    case):

    I

    g Zh,.,,/ m sin2 U

    Tlic

    calcuidtcd valucz „ ean

    bc a

    non.in1cgcr backiash

    oFthc

    whcel flank iccordin g to

    [24/31. S, Ip > ni

    (0.3 z, I

    5

    Worm

    0

    1

    Y

    mmi

    rmm [ I

    E20

    H22

    E 10

    H

    10

    1

    100

    178

    L78

    19 4 8

    1 4

    QQ28

    20

    9,75

    10,7

    42 5 3,75 10' @

    66 S,B2 W o 8

    67

    838 20 34

  • 8/18/2019 Tabel Dan Grafik Gear

    14/18

    2 24 Worm Gearing

    The

    cquaiion

    Tor4

    war uscd

    ar a

    first approxim ation according to data on

    lil by Tuplin

    12411061. (Adcqua ic

    nuinbcr o l

    iesi daia wer; not availsble.)

    Teble 2414

    Twth shapc factars

    /

    and

    y

    for

    I

    and

    ii

    Table 2415. Dzta for material vduer

    k and

    . .

    riring

    Worm mndc of Whccl r h madc

    of

    kpf&2 J-

    .

    1 Cu-Sn-Bronrc 0.8

    I

    Stccl hardcned

    m

    Al-doy 0 425 1

    3 ground

    Pwrlitc

    casting

    1 -

    1 lO

    Cu-Sn-Bronze

    0 4i 1.5

    5 .

    tccl

    hurt

    trcatcd and Al-doy 0 23 l 5

    6

    not

    810und

    Zinc-doy 0 17 1.5

    C1

    12

    0.4 1 8

    Cu-Sn-Bronzc

    0 4 1?

    Grcy

    casting

    CI 18

    Al -~ OY 0 3 1.16

    10 I

    CI

    12 0.35 1.30

    Table

    2416. Datn

    for

    C

    far

    a

    = 2CP

    for a =

    25

    values 1 2

    timcs)

  • 8/18/2019 Tabel Dan Grafik Gear

    15/18

  • 8/18/2019 Tabel Dan Grafik Gear

    16/18

    202

    24 Worm Gcaring

    Tpbls

    24 .

    Velocity cocfficicnt /.

    =

    2/(2 V: ) for km„

    Cwfficientr accotding to

    GM

    124141; far largcr co ns trudon sizcs probably t m unfavourable (sufficicnl nurnber

    af

    tertr not available).

    Tablc 2419. Coefficient V. far N..... for iefercncc time h = h (100/a) (Yk/ ) n hours

    Tablc 24/11. Coefficient

    and

    J

    for NJN2

    Table 24/10. Coefficieni .vk for N

    ~ i ~ .4/19. Total cfficicncy

    q for

    E-worrn drives

    ac

    Fig. 24/20. Total efficicncy for H-worni drives

    ac

    ~ ~ ~ d i n go Table 24/13.

    cording 10 Table 24/13.

    ~ o t t c d undlc of lincs- recorded exarnple Tor n,= IWO.

    =

    200, and i 10.

    U/rnin

    = rpm

    Blower

    without

    With

    n.

    I 0 1 200 400 G00 1 600 1WO 1200 1400 1GOO 2000 2500

    1

    3000 1 3500 4000

    1 Ol 1.03 1 06 1 09 1 1 1 1 1 42 1 58 177 1 98 2.20

    I

    I1 03 08 1.16 135 1.35

    1

    1

    2 .

    2.45 I2:95 3 48

  • 8/18/2019 Tabel Dan Grafik Gear

    17/18

    24.16

    Tables and Diagram s

    203

    ... .

    Tablc

    24/11

    Rcsults af comparison tcrtr with

    E w o m

    drive,

    G-

    and H-w arm drive under snme operational conditions with

    the best design: Axial distance 178 mm according to 124121

    E =

    lvolute w om G

    =

    glaboii

    worm

    (cone worm), H

    =

    ollovr flank worm (Cavex)

    Dimension Flank limit

    z /z

    -

    Objestianr

    24,4 91,O

    1 pit

    24,9 91.5 without

    29.7 91.3

    light grooves

    Tablc 24/13. Exampler for E- and H-worm dnves derircd in the best way. r, = 40. material pairing I (Table 2415).

    Calculated: total efficiency

    r(

    for limiting power of Ranks

    N „

    and

    =

    I; tcm pcraturc limiting power

    N „

    for-the model with

    blowei aod for givcn

    q.

    For corresponding diagrams for

    V

    N „

    a n d

    see

    Figs. 24/19 to 24/24

    1

    25

    45.6 0,281 0,264 56,O ' 1.73 1.14 68.8 9,8S1 5.60 80,s 57.3

    '31.6

    500 49.5 0.463 i0,310 62,l

    1

    2.G 4 73.7

    7,12 83,8 83.1 40.2

    40

    . .

    1000 53.6

    '

    0,711 0,403 66.0

    1

    3,86 1,91 76.7 84.5 106 1 50,3

    l2

    1

    2000 56.4 1 1.04 0.646 68,4 5.31 j 3.11 77,3 b 7

    83.8 137

    i

    73,3

    I 42,4 98.3 385 340

    62,3 98.5 544 420

    E

    8

    3

    250

    M O

    '0, 470 10,392 75,1

    1

    3 , ~2. w 65.8 19,s 12,2 93,3 124 1 90,O

    ,500 69,4 0,793 0,505 80,9 4,92 2.82 89.5

    j

    29,7

    j

    l7,8 94,4 178 1117

    20

    1000 74,6 1.23 j 0,722 85,O 7,34 4.33 91.3 42,O

    i

    26,O 94.4 233 142

    2000 78,7 180 1.32 86,8 10,2 5.42

    91.2

    1

    55.8 38.6 94,O 300 196

    I

    I

    250 47.7 0,307 0,274 60,2

    i

    1,90 1.26 75.5 1 1 7 1 87.5 70,O

    I

    48,7

    I

    500 530 0.50 0,330 68,5 3,M 1 , i l 81.3 17"

    i

    100 89,6 1aO

    62.8

    I 40+

    1000 59.5 0,780 0,462 74,2 1 4,36 2.52 84.2 23.8 14,3 89,E' 132 76.0

    i

    2000 64,s 1 l.10 0,600 76.8 1 602

    412 84.2 6

    1

    215 89 0 170 1%

    ZOO

    7 8

    ; I I I

    91,s

    ,

    33,4 20 3

    93.1 50.5

    1

    27.1

    94,l 69,5 38,s

    94.2 90,4 59.4

    88,4

    /

    22,4 i 1 5 , ~

    90.7 342 20.1

    92,O 1 47,s

    1

    28.7

    922

    i

    60.7 j 43.7

    81,O

    i

    15.3

    j

    9,20

    84,s 22,5

    i

    12,2

    86.5 31.9 16,8

    86,8 1 41.9 25,9

    l

    ,

    -

    1 l0

    3

    1

    20

    I

    l

    250

    500

    1000

    2000

    250

    500

    1000

    2 c 0

    250

    5(M

    i

    2000

    n

    -

    50 n m

    dm

    -

    23mm

    L

    1

    P H P

    82,2 / 0'769 10,809

    84.3 1.31 0,991

    86,5 12,09 1,39

    67.5 3,14 2.28

    56,O

    0,53

    C

    0,577

    77,s

    0,91 j0.701

    80.5 1.46

    1

    0,963

    82,3 2,19 1.59

    62,O 0,378

    ;

    0,380

    65,i 0,636 0,432

    69.2 1.01 i0,630

    71,6 1.51

    o,i

    100

    1 4 0

    Nxr XI

    1x1 1 [HP] i

    [HP)

    %,8

    1

    211

    95

     

    295

    5,9 386

    95,7 473 277

    93.4

    94,s

    94,7

    94,s

    89,O

    90.9

    I

    100

    12

    I

    1

    87.0 5,28 1 :,E0

    8.42 5.10

    9.4

    1 I

    08

    1 2 3 7,15

    91.5

    17.4

    1

    1 1 s

    40 . 90,o

    200

    1 113

    266

    149

    333

    1

    216

    .

    92,O

    1

    55,2

    132 1 71.5

    81,8 3.51

    @,2 1 5,71

    872 8,66

    88,3 1 12,2

    71.2

    j

    2,42

    76,l 3,86

    79,O 5.78

    80,i 8,03

    9i,2 176

    1

    8 9 3

    90.9 I224 130

    2,i4

    .

    3,62

    5,W

    8,45

    1,74

    2.26

    3,13

    5,13

  • 8/18/2019 Tabel Dan Grafik Gear

    18/18

    Fig 24121

    Fig

    N 2 2

    Fig.

    24/21 and 24/22. Limibg powcrs

    N

    and

    N for E worm r i ve suording to

    Table

    24/13

    oacd bundlc

    of

    in r ecorded u m p l c

    or n

    1000 200 and

    10

    PS

    HP; V/min rpm.