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    Shaft design and calculation

    i Check lines:5.3;7.4;

    ii Project information

    ? Inut sectinon

    !." Preliminar# shaft diameter design

    1.1 Calculation units

    1.2 Transmitted power 7.50 [kW] 1. T!pe of s"aft load

    1.# $"aft speed 1750 [%min]

    1.& Torsion moment &0.'# [(m] 1.7 )aterial of t"e s"aft

    1.5 *reliminar! min. diameter 22.&7 [mm]

    $." Shaft shae and dimensions

    2.1 T"e scale of t"e displa!ed s"aft diameter. Calculation units

    2.2 Ta+le ! $ 3 4 5 % 7 &

    ,ri-in 0.00 5&.00 1&.00 1.00 200.00 200.00 200.00 200.00

    5&.000 '2.000 20.000 #&.000

    / a 12.000 20.000 15.000 12.000

    / + 12.000 20.000 15.000 12.000

    / da

    / d+

    2.# Total len-t" of t"e s"aft 200.00 [mm] 2. T"e s"aft sur

    2.& 4coordinate of t"e left support +earin-3 6ied 50.00 [mm]

    2.5 4coordinate of t"e ri-"t support +earin-3 6ree 150.00 [mm]

    3." 'otches and necking(do)n on the shaft

    4." *oading of the shaft

    &.1 oadin- + ,- , alfa t / alfa 0

    [mm] [(] [8] [(m] [8] [(%mm]

    ! 50.00 1'9.0 270

    $ 150.00 09.7 '0

    3 50.00 '.9 04 150.00 215.0 190

    5 1'9.20 &10.9 0

    % 1'9.20 1&5.1 270

    50 0 50 100 150 200 250

    50 0 50 100 150 200 250

    15

    10

    5

    0

    5

    10

    15

    Shaft calculation Clear

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    7 1'9.20 #.#

    &

    1

    !"

    5." 2otating masses

    5.1 :dditional rotatin- masses resonance speed3

    5.2 ;se loadin- from t"e wei-"t of disks in t"e calculationield stren-t" in +endin- && [)*a] .21 ?endin-.5 >ield stren-t" in s"ear 271 [)*a] .22 adial load

    . ,or reersed loading .2# Torsion

    .7 6ati-ue limit tensionpressu 21& [)*a] .2& Tension%Compression

    .9 6ati-ue limit +endin- 29 [)*a] .25 *oading conditions

    .' 6ati-ue limit torsion 17' [)*a] .2 oadin- from +endin- moment

    .10 ,or c#clic loading .27 oadin- from radial force

    .11 6ati-ue limit tensionpressu #21 [)*a] .29 oad from torsional moment

    .12 6ati-ue limit +endin- &29 [)*a] .2' oadin- from tension%pressure force

    .1# 6ati-ue limit torsion 250 [)*a] .#0 #namic strength check

    .1& $pecific mass o 7950.0 [k-%m=#] .#1 Impact from s"aft surface

    .15 )odulus of elasticit! in tensi @ 210000 [)*a] .#2 Impact from s"aft siAe

    .1 )odulus of elasticit! in s"ear B 90000 [)*a] .## Impact from stress concentration notc"? 2esults section

    7." 2esults ( summar#

    - # 7.17 Brap"

    7.1 eaction in t"e support 1 #.2# 129.095' 12'.&90&' 192.12'1 [(]

    7.2 eaction in t"e support 2 0 #'#.7#5' #'1.272&5 555.097 [(]

    7.# Total s"aft wei-"t m 0.## [k-]

    7.& )aimum deflection ! "."7$" [mm]

    7.5 )aimum an-ular deflection 0.0000 [8]

    7. :n-ular deflection in 1 0.012' [8]

    7.7 :n-ular deflection in 2 0.0#00 [8]

    7.9 )a. +endin- stress 90.5 [)*a]

    7.' )a. stress in s"ear #.9 [)*a]7.10 )a. stress in torsion 0.0 [)*a]

    7.11 )a. stress in tension%pressu 0.# [)*a]

    7.12 )a. euiDalent stress 91.0 [)*a]

    7.1# )in. static safet! #.#

    7.1& )in. d!namic safet! 2.2'

    7.15 Critical speed :3 0.0 [%min]

    Critical speed ?3 1#7&71. [%min]

    Critical speed C3 '#&59.9 [%min]

    7.1 2esults for + co(ordinate 50.00 150.00 1'9.20 20'5.50 2127.25 2127.25

    0.0121199 0.029#07'# 0.1117#121 0.1117#117 0.1117#117 0.1117#117

    0.00&29257 0.0100055 0.0#'51&2 0.0#'51&2 0.0#'51&2 0.0#'51&2

    0.01295#2 0.0#002&1# 0.1195121 0.11951257 0.11951257 0.11951257

    0 1.7#5@019 0.022#5 0.02&01 0.02&01 0.02&01

    0 #.97'@019 0.079'1&1 0.0720292' 0.0720292' 0.0720292'

    0$>%e

    $>+%e+$>s%es

    C

    eC

    C

    "C

    e"C

    "C

    #6

    e

    s

    t

    -r

    $6$t

    $6

    nc

    nc

    nc

    0 50 100 150"

    5

    !"

    !5

    $"

    $5

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    &." rah ( eflection8 9ending angle

    9.1 CurDes in -rap" + Plane + Plane Sum

    eflection

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    1 !"

    200.00 200.00

    face ou-"ness a3

    / alfa

    [mm] [8]

    r ta/le of results

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    20

    0.95

    1.701.70

    1.70

    1.70

    2127.25 2127.25

    0.1117#117 0.1117#117

    0.0#'51&2 0.0#'51&2

    0.11951257 0.11951257

    0.02&01 0.02&01

    0.0720292' 0.0720292'

    200 250"

    5

    !"

    !5

    $"

    $5

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    ngle

    ngle

    ngle

    nal moment

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    tatic safet#

    200 2500

    5

    10

    15

    20

    25

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    CalculationAs units

    Imperial l+fE inE F*G.3$I ;nits (E mmE kWG3

    @#e of load

    :G$tatic torsion $tatic torsion?G$tatic torsion H +endin- $tatic torsion H +endin-CGepeated torsion H +endin- epeated torsion H +endin-

    aterial oad t!pe m[)*a] $u[psi]:...Common structural steel 5003 Common structur 500 72500?...$tructural steel wit" increased stre$tructural steel wi 950 12#250C...Fi-"stren-t" structural steel 12 Fi-"stren-t" stru 1200 17&000

    llo)a/le torsional shearing stress e!wa! slottin- cutter3 @>

    $trai-"tsided splines $*I(@InDolute splines $*I(@*ress fit t!pe 13 *@$$*ress fit t!pe 23 *@$$*ress fit t!pe #3 *@$$T"read TF@:

    aterial ta/le 2 # &

    )aterial I )aterial name C"ar

    :G$tructural steel #50 7003 $tructural steel :?Gefined and allo!ed steel 500 1 efined and allo! ?CGCase"ardened steel 700 12003 Case"ardened st CGBre! cast iron 100 #503 Bre! cast iron @Gi-"t allo!s 100 &503 i-"t allo!s @

    @a/le of @ensile Strength8 Bltimate

    500 0 &55&5 15'0 2#5 #

    90 &725 5

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    770 915 790 9'05 ''50 10''5 1110&0 121095 1#11#0 1&1175 151220 1125 171#10 191#55 1'1&00 20

    Seniti# coeficient

    2m

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    20 0.'1 0.'1 0.'1#0 0.9 0.9 0.9&0 0.91 0.91 0.9150 0.79 0.79 0.790 0.7 0.7 0.770 0.7& 0.7& 0.7&90 0.7# 0.7# 0.7#100 0.72 0.72 0.72120 0.7 0.7 0.7150 0.9 0.9 0.91000 0. 0. 0.

    Shaft surface coeficient ( selectio T!pe I a [nmm]:G*olis"ed 0.13 *olis"ed : 0.1?G6ine -round 0.23 6ine -round ? 0.2CGBround 0.93 Bround C 0.9

    GTurned 1.3 Turned 1.@Gou-" mac"ined #.23 ou-" mac"ined @ #.26G;nmodified 253 ;nmodified 6 25BG$urface wit" iron scales 3 rface wit" iron scal B FGCorrosion 3 Corrosion F

    Shaft surface coeficient ( alues

    m [)*a] : ? C0 1 1 0.'9

    100 1 0.'' 0.'7200 1 0.'9 0.'&00 1 0.' 0.'2

    00 1 0.'& 0.9'900 1 0.'2 0.971000 1 0.'2 0.91200 1 0.'1 0.951&00 1 0.'1 0.95

    aterial senitiit# coefficient 9ending @orsion

    0 0.01 0.01&00 0.01 0.01500 0.02 0.0100 0.0& 0.02700 0.0 0.0#900 0.0' 0.0&'00 0.12 0.01000 0.15 0.091100 0.19 0.0'1200 0.22 0.121#00 0.2 0.151&00 0.#1 0.19

    @a/le of shaft diameters

    Cone /egin Cone end Cone length Start dia

    0 5& 5& 12

    5& 1& '2 201& 1 20 15

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    1 200 #& 12200 200 0 0200 200 0 0200 200 0 0200 200 0 0200 200 0 0200 200 0 0

    Stress coeficients tensionD

    e! : e! ?

    0 1 1 1200 1 1.2 1.1#00 1 1.#5 1.2&00 1 1.51 1.#500 1 1.& 1.#9

    00 1 1.7 1.&700 1 1.9' 1.5&900 1 2.01 1.2'00 1 2.1& 1.&1000 1 2.2 1.771100 1 2.#9 1.91200 1 2.5 1.'2

    Stress coeficients /endingD

    0 1 1 1200 1 1.2 1.1#00 1 1.#5 1.2&00 1 1.51 1.#

    500 1 1.& 1.#900 1 1.7 1.&700 1 1.9' 1.5&900 1 2.01 1.2'00 1 2.1& 1.&1000 1 2.2 1.771100 1 2.#9 1.91200 1 2.5 1.'2

    Stress coeficients torsionD

    0 1 1 1200 1 1.05 1.05#00 1 1.1 1.1&00 1 1.2 1.2500 1 1.#7 1.#700 1 1.5& 1.5&700 1 1.71 1.71900 1 1.99 1.99'00 1 2.05 2.051000 1 2.22 2.221100 1 2.#2 2.#21200 1 2.#' 2.#'

    Eole coeficientsd% 0 0.1 0.2

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    : 1 0.97 0.7&I 1 0.9# 0.$ 1 0.9# 0.9Ik 1 0.'1 0.92

    @a/le of results columns I (ame ;nits $I01GJ $"ear force [(] 01 J $"ear force (02GJ ?endin- moment [(m] 02 J ?endin- mo (m0#GJ :n-ular deflection [8] 0# J :n-ular defle 80&GJ eflection [mm] 0& J eflection mm05GJ ?endin- stress [)*a] 05 J ?endin- stre )*a0GJ $tress in s"ear [)*a] 0 J $tress in s"e )*a07G> $"ear force [(] 07 > $"ear force (09G> ?endin- moment [(m] 09 > ?endin- mo (m0'G> :n-ular deflection [8] 0' > :n-ular defle 810G> eflection [mm] 10 > eflection mm

    11G> ?endin- stress [)*a] 11 > ?endin- stres )*a12G> $tress in s"ear [)*a] 12 > $tress in s"e )*a1#G$"ear force $um [(] 1# $"ear force $u (1&G?endin- moment $um [(m] 1& ?endin- momen (m15G:n-ular deflection $um [8] 15 :n-ular deflectio 81Geflection $um [mm] 1 eflection $um mm17G?endin- stress $um [)*a] 17 ?endin- stress )*a19G$tress in s"ear $um [)*a] 19 $tress in s"ear )*a1'G$"ear force irection of ma. Da 1' $"ear force ir 820G?endin- moment irection of m 20 ?endin- momen 821G:n-ular deflection irection of 21 :n-ular deflectio 822Geflection irection of ma. Dal 22 eflection ire 8

    2#G?endin- stress irection of ma 2# ?endin- stress 82&G$tress in s"ear irection of ma 2& $tress in s"ear 825GTorsional moment [(m] 25 Torsional mome (m2G$tress in torsion [)*a] 2 $tress in torsion )*a27GTorsion an-le [8] 27 Torsion an-le 829GTension [(] 29 Tension (2'G$tress in tension [)*a] 2' $tress in tension )*a#0G@uiDalent stress [)*a] #0 @uiDalent stres )*a#1GTotal coefficient +endin- #1 Total coefficient K#2GTotal coefficient tension #2 Total coefficient K##GTotal coefficient s"ear ## Total coefficient K#&GTotal coefficient torsion #& Total coefficient K#5GCross section area [mm=2] #5 Cross section a mm=2#GCrosssection uadratic moment # Crosssection mm=GCrosssection section modulus i #7 Crosssection s mm=##9GCrosssection *olar moment of i #9 Crosssection * mm='GCross section *olar section mod #' Cross section * mm=#&0G$afet! coefficient euiDalent stre &0 $afet! coefficient euiDalent stre&1G$afet! coefficient static3 &1 $afet! coefficient static3&2G$afet! coefficient d!namic3 &2 $afet! coefficient d!namic3G@mpt! -rap" @mpt! -rap"

    $afet! ma. Dalue

    510

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    2050

    100200500

    1000

    Coeficient lfa"

    Torsion ?endin- L static d!namic alternatin-static 1 0.9 0.7

    d!namic 1.15 1 0.95alternatin- 1.# 1.15 1

    Coeficient for critical seed

    $"aft freel! rotatin- in +earin-sE oDer 0.' $"aft freel! rotatin- in +earin-sE$"aft freel! rotatin- in +earin-sE rotati 1 $"aft freel! rotatin- in +earin-sE$tationar! placed s"aft onl! discs ar 1.# $tationar! placed s"aft onl! disc

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    5 7 9 ' 10 11

    ensit!)odul of @lasticit!

    Tension Torsion

    k-%m# )*a )*a )*a )*a )*a )*a7950 210000 90000 #50 700 &00 #&5.17950 210000 90000 500 1&00 00 #9.757950 210000 90000 700 1200 '00 #577200 199000 79#00 100 #50 200 #572900 7#000 27&00 100 &50 #00 &1.5

    m3min m3ma m3selected

    e3selected

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    )aterial )aterial @0.2 0.#0.2# 0.#50.2 0.&0.# 0.&50.# 0.50.# 0.50.# 0.50.# 0.50.# 0.50.# 0.50.# 0.5

    0.# 0.50.# 0.50.# 0.50.# 0.5

    )aterial )aterial @1 11 1

    0.9 10.9 10.75 10.71 10.' 10.9 10.7 10.& 10.2 10.1 10.5& 1

    )aterial )aterial @

    1 11 1

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    0.'1 10.9 10.91 10.79 10.7 10.7& 10.7# 10.72 10.7 10.9 10. 1

    a [ninc"]&9

    #2

    &1251000

    @ 6 B F0.' 0.'5 0.'2 0.' 0.950.'7 0.'& 0.' 0.97 0.90.'# 0.' 0.9 0.79 0.70.99 0.9# 0.75 0.9 0.59

    0.95 0.79 0.' 0. 0.&70.92 0.7 0. 0.55 0.#70.7' 0.7# 0.# 0.&9 0.290.79 0.72 0.5' 0.& 0.220.79 0.71 0.57 0.#5 0.2

    Fnd dia

    12

    2015

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    12000000

    T"read (eck

    1. 1. 1.& 1.# 1.05 1.1 21.9 1.9 1. 1.&5 1.1 1.2 2.11.'5 1.'5 1.9 1. 1.15 1.# 2.22.1 1.&1 2.1 1.75 1.2 1.&5 2.#2.25 1. 2.& 2 1.# 1.79 2.&

    2.# 1.& 2. 2.2 1.& 1.' 2.52.&5 1.&' 2.' 2.& 1.5 2.2 2.2.55 1.52 #.1 2. 1. 2.#2 2.752.7 1.55 #.5 2.9 1.9 2.&7 2.9#2.7 1.59 #.9 #.1 1.' 2.1 #2.75 1.5' &.1 #.& 2.1 2.75 #.12.9 1. &.& #.7 2.# 2.' #.2

    1. 1. 1.& 1.# 1.05 1.1 21.9 1.9 1. 1.&5 1.1 1.2 2.11.'5 1.'5 1.9 1. 1.15 1.# 2.22.1 1.&1 2.1 1.75 1.2 1.&5 2.#

    2.25 1. 2.& 2 1.# 1.79 2.&2.# 1.& 2. 2.2 1.& 1.' 2.52.&5 1.&' 2.' 2.& 1.5 2.2 2.2.55 1.52 #.1 2. 1. 2.#2 2.752.7 1.55 #.5 2.9 1.9 2.&7 2.9#2.7 1.59 #.9 #.1 1.' 2.1 #2.75 1.5' &.1 #.& 2.1 2.75 #.12.9 1. &.& #.7 2.# 2.' #.2

    1.1 1.1 1 1 1 1 1.51.15 1.15 1.0& 1 1 1 1.1.25 1.25 1.17 1.0& 1 1 1.71.#5 1.#5 1.#5 1.1#75 1 1 1.91.&5 1.&5 1.5 1.# 1 1 1.91.55 1.55 1.' 1. 1 1 1.'&1. 1. 1.995 1.5 1 1 2.021.5 1.5 2.015 1.' 1.0& 1 2.11.7 1.7 2.275 1.92 1.17 1 2.151.72 1.72 2.&7 2.015 1.2#5 1 2.2#1.7# 1.7# 2.5 2.21 1.#5 1 2.#1.75 1.75 2.9 2.&05 1.&'5 1 2.&

    0.# 0.& 0.5 0. 0.7 0.9 0.'

    $tri-"tsplines

    InDolutesplines

    C!lindricalpressure :

    C!lindricalpressure ?

    C!lindricalpressure C

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    0.2 0.5 0.#' 0.29 0.1' 0.1 0.0&0.51 0.#7 0.25 0.15 0.09 0.0# 0.000.5# 0.&1 0.2' 0.1' 0.11 0.05 0.010.7# 0.# 0.52 0.&2 0.2' 0.17 0.07

    ;nits Imp @ranslation ta/lel+f $"ear force

    l+fNft ?endin- moment8 :n-ular deflectionin eflectionpsi ?endin- stresspsi $tress in s"earl+f $um

    l+fNft irection of ma. Dalue8in

    psipsil+f

    l+fNft8inpsipsi8888

    88

    l+fNftpsi8

    l+fpsipsiKKKK

    in=2in=&in=#in=&in=#

    ss3

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    Der"un- rotatin- disc otatin- disc +etween t"e +earin-s

    s are rotatin-

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    12 1# 1& 15 1 17

    Tension Compression ?endin-

    e+

    coef N m coef 0.#9 0.57 0.&' 0.7#5 1.# 0.#50.# 0.5& 0.&9 0.72 1.2 0.#0.&2 0.# 0.& 0.' 1.# 0.#0.25 0.#75 0.&2 0.72 1.# 0.&0.# 0. 0.& 0.7& 1.# 0.25

    C "C C+ "C+ Ct

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    1

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    0000

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    19 1' 20 21

    Torsion

    et

    )*a0.&025 0.7 &&9.# 2&1.570.&2 0.7 &&.1 270.7250.#' 0. &&.1 21&.20.5 0. &&.1 21&.20.5 0. 5&1.&5 2&'.'

    e+3selected

    es3selected

    "Ct

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    !." eneral

    1.1 an-ua-e

    $." Info

    2.1 (ame of "elp file s"aft."tm2.2 Oersion num+er s"aftP01P92

    2.# Oersion date 7.12.200'21Q#5Q&2

    Cop!ri-"t R 200#T"is pro-ram%work+ook is cop!ri-"t protected www.mitcalc.com

    :ut"oriAation

    http://www.mitcalc.com/http://www.mitcalc.com/
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    !." +, Gutut @arget lications @a/le

    $election ist CommandSs Ta+le (ame $ende!s :pp (ame46 6ile:utoC: T TP46CP:C: :utoC: T:utoC: 12 TP46CP:C: :utoC: 12:utoC: 1# TP46CP:C:1& :utoC::utoC: 1& TP46CP:C:1& :utoC::utoC: 2000 TP46CP:C: :utoC: 2000:utoC: 2002 TP46CP:C: :utoC: 2002:utoC: 200& TP46CP:C: :utoC: 200&:utoC: 2005 TP46CP:C: :utoC: 2005:utoC: 200 TP46CP:C: :utoC: 200:utoC: 2007 TP46CP:C: :utoC: 2007:utoC: 2009 TP46CP:C: :utoC: 2009:utoC: 200' )ec"anicalG3TP46CP:C: :utoC::utoC: 2010E2011 )ec"aniTP46CP:C: :utoC:

    IntelliC: 2001 TP46CPIC: Intellicad 2001C:opia IntelliC: & TP46CPIC: C:opia IntelliC: &:s"lar Brap"ite D7.2 @( TP46CPB:*FIT@ Brap"iteTur+oC: *rofessional D9.2 @ TP46CPTC:O92 Tur+oC: *rofessional D9.2(ot used(ot used(ot used TP46CPIC: ocument(ame (otepad

    $." ,ile 'ame

    3." *a#er 'ames

    ,utline :is InDisi+le line)TCP,;TI(@ )TCP:4I$ )TCPI(OI$I?@

    4." +, Eeader efinition ISG8 mmD

    5." +, Eeader efinition 'SI8 InchD

    %." +, Fnd of ,ile

    0V@($@CV0V@,6

    7." 'ame of Cell Containing the Bser Part

    P46P;ser*art1

    &." +, Bser Part efinition String

    0V$@CTI,(V2VT:?@$V0VT:?@V2VT>*@V0VT>*@V2V)TCP:$F,TV#V:isPlineV72V5V7#V#.0V70V0V0VT>*@V2V)TCP:$FV#VInDisi+lePlineV72V5V7#V2V&0V11.0V&'V9.0V&'V#.0V70V0V0VT>*@V2V)TCP$,IV#V$olidPlineV72V5V7#V0V&0V0.0V70V0V0V@(T:?V0VT:?@VV9VV)TCP$,IV70V0V0V:>@V2V)TCPT@4T?V2V5VV)TCP$,IV70V0V0V:>@V2V)TCPTV2V)TCPI(OI$I?@V2V9VV)TCP:$FV70V0V0V@(T:?V0V@($@CV0V$@CTI,(V2V@(TITI@$

    0V$@CTI,(V2VT:?@$V0VT:?@V2VT>*@V0VT>*@V2V)TCP:$F,TV#V:isPlineV72V5V7#V0.25V70V0V0VT>*@V2V)TCP:$FV#VInDisi+lePlineV72V5V7#V2V&0V0.75V&'V0.5V&'V0.25V70V0V0VT>*@V2V)TCP$,IV#V$olidPlineV72V5V7#V0V&0V0.0V70V0V0V@(T:?V0VT:?2V9VV)TCP$,IV70V0V0V:>@V2V)TCPT@4T?V2V5VV)TCP$,IV70V0V0V:>@V2V)TCP@V2V)TCPI(OI$I?@V2V9VV)TCP:$FV70V0V0V@(T:?V0V@($@CV0V$@CTI,(V2V@(TITI@

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    1

    1." Parameters for +, ta/les

    *iel siAe scale [mm] 0.#5Tet widt" scale 0.7Tet "i-"t scale 0.Tet +order justif! 0.9

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    :utomatic 0.&1Q100 1001Q50 501Q20 201Q10 101Q5 52Q5 2.5

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    S#stem aria/les

    :pplication (ame 46 6ileCommand Ta+le (ame 0$ende!s :pp (ame 0@ :pp (ame 0

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    @ur/oC Professional &.$

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    @ :pp (ame @ Topic

    :utoC: T.@ s!stem ,E tested:utoC:.@ s!stem:utoC:.1#.@ s!stem:utoC:.1&.@ s!stem ,E tested:utoC:.15.@ s!stem:utoC:.15.@ s!stem ,E tested:utoC:.1.@ s!stem ,E tested:utoC:.1.@ s!stem ,E tested:utoC:.1.@ s!stem ,E tested:utoC:.17.@ s!stem ,E tested:utoC:.17.@ s!stem ,E tested:utoC:.17.@ s!stem ,E tested:utoC:.19.@ s!stem ,E tested

    ,E tested,E tested,E tested

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    T"in line Tet normal Tet +old)TCPTFI( )TCPT@4T( )TCPT@4T?

    V&0V11.7V&'V5.0V&'V#.0V&'V0.7V&'V

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    V

    V&0V1.2V&'V0.5V&'V0.25V&'V0.2V&'V

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    V0.0V&0V#.5V1V@)*T> @6I(ITI,(V0.0V11V9.0V21V2.0V#1V0.0

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    4 >H > $"aft outline0.5& 0

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    & 1 200 Coeficients200 0 0 4P1 2.5

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    0 0 00 0 00 0 0

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    0 0 05 0 0 0 0

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    1&& 5

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    151.7 7.5150 0

    # 50 0 41 50&9.##### 7.5 >es%(o 1

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    9 0 0 41 00 0 >es%(o 00 00 00 0

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    0 010 0 0 41 0

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    4 > Torsion moment1 50 0 41 50

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    1'9.2 01'9.2 01'9.2 0

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    4 > ?endin- moment1 50 0 41 50

    50 0 >es%(o 050 050 0

    2 150 0 41 150150 0 >es%(o 0

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    # 50 0 41 5050 0 >es%(o 050 050 0

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    1'9.2 01'9.2 0

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    4 > Continuous load1 50 0 41 50

    50 0 >es%(o 050 0 ?1 050 050 0

    2 150 0 42 150150 0 >es%(o 0150 0 ?2 0150 0150 0

    # 50 0 42 5050 0 >es%(o 050 0 ?2 0

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    1'9.2 01'9.2 0

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    50 50 $upport ais50 50

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    0 0 2 0 # 0 &0.17&5## 0.#&72' 1.''1 0.520'&5 2.'5&&2# 0.'&5'# #.'#'2#10.#&'0 0.9&0& 1.97'#95 1.020 2.91'079 1.#9091 #.759770.52#5'' 1 1.7#2051 1.5 2.5'907 2 #.&&102

    0.'91#2 1.295575 1.5#209' 1.'29## 2.2'91## 2.57115 #.0&1790.9725 1.5#209' 1.295575 2.2'91## 1.'29## #.0&179 2.571151.0&71'9 1.7#2051 1 2.5'907 1.5 #.&&102 21.2217# 1.97'#95 0.9&0& 2.91'079 1.020 #.75977 1.#90911.#'2# 1.''1 0.#&72' 2.'5&&2# 0.520'&5 #.'#'2#1 0.'&5'#1.5707' 2 1.22@01 # 1.9&@01 & 2.&[email protected]&5#2' 1.''1 0.#&72' 2.'5&&2# 0.520'&5 #.'#'2#1 0.'&5'#1.'1'92 1.97'#95 0.9&0& 2.91'079 1.020 #.75977 1.#90912.0''5 1.7#2051 1 2.5'907 1.5 #.&&102 22.29'29 1.5#209' 1.295575 2.2'91## 1.'29## #.0&179 2.571152.&&1 1.295575 1.5#209' 1.'29## 2.2'91## 2.57115 #.0&1792.17''& 1 1.7#2051 1.5 2.5'907 2 #.&&102

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    4 > :n-le indikator0 00 0

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    0 1 2 # & 5 7I TPA )oPA 6iPA !PA $+PA $sPA TP!

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