Analyse van het insnoerverschijnsel bij vlakke deformatie van
plaat
Citation for published version (APA):
Houtackers, L. J. A. (1975). Analyse van het insnoerverschijnsel bij vlakke deformatie van plaat. (TH Eindhoven. Afd. Werktuigbouwkunde, Laboratorium voor mechanische technologie en werkplaatstechniek : WT rapporten; Vol. WT0352). Technische Hogeschool Eindhoven.
Document status and date: Gepubliceerd: 01/01/1975
Document Version:
Uitgevers PDF, ook bekend als Version of Record
Please check the document version of this publication:
• A submitted manuscript is the version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website.
• The final author version and the galley proof are versions of the publication after peer review.
• The final published version features the final layout of the paper including the volume, issue and page numbers.
Link to publication
General rights
Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.
• Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain
• You may freely distribute the URL identifying the publication in the public portal.
If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the “Taverne” license above, please follow below link for the End User Agreement:
www.tue.nl/taverne
Take down policy
If you believe that this document breaches copyright please contact us at:
openaccess@tue.nl
providing details and we will investigate your claim.
...-'--~'-'-'--'--~ .. ---.. ----..
techniache hog.school eindhoven vakgtoep produktietechnologlc
rapport van de .ectie: Omvormtechnologie titer:
ANALYSE VAN HET INSNOERVERSCHIJNSEL BIJ VLAKKE DEFORMATIE VAN PLAAT.
auteur(.): L.J.A. Houtackers sectieleid.,: J • A. G. Ka 1 s fbl;~' walsh blZ·l T rapport nr.0352 codering: i ttefwoord:
I
Insnoerverschijn-sel vlakke de- !format i evan pI aat.
I
I hoogleraar: lamenvottina P.C. Veenstra 'I
~---J
I·,r--
=.c.:;;;.::~--~'---'---+II-·!l'II! In deze studie wordt een model opgezet voor het insnoerverschijnsel (2 dim.) bij v1akke deformatie van plaat onder inv10ed van een trekkr acht in 1angsrichting. Uitgaande va~ een ! evenwicntsbeschOlMing is m.b.v. de Levy-von Mises verge1 ijkingen en de vloeivoorwaarde volgens von Mises de spanningstoestand als funktie va~ de insnoergeometrie voor de kleinste doorsnede ganalyseerd.
! Uit deze geometrie is een korrektiefaktor CL afgeleid, (analoog aan de korrektiefaktor vol-gens Brid~man voor ronde en rechthoekige trekstrip: C
So resp. C8~) welke de effektleve spanning a in de kleinste doorsnede relateert aan de gemiddelde spanning in
trekrich-ting. gem
Voorts zijn er kanttekeningen geplaatst bij de analyses door Bridgman. De spanningskomponen-ten, gerelateert aan de vloeispanning -, zijn als funktie van de geoemtrie van de kleinste doorsnede (X/a) met (a/R) als parameter weergegeven. Verder is een 1 iteratuurstudie uitge-voerd over Mogel ijke breukkriteria.
I ,
' OPMERKING
Het opzet ten van een "ana 1 oog" mode I voo r gebogen pI aa t en daa rb i j na te gaan \~e 1 ke i nv 1 oed een kerf (met straal R) aan de buitenzijde van de buigzone en de plaatdikt6 5 op de
I spanningsverdel ing over de kleinste doorsnede van deze plaat hebben (met a al~ funktie
L van de plaats in dikterichting) dient als completering van deze studie nog te vol gen. J
progno.e
Het opzetten van een fundamenteel model, het opsporen van para-meters die bij breuk een rol spelen, het nagaan welke parapara-meters een bepaald "type" breuk stimuleren en het onderzoeken van de gevoeligheid van deze parameters zou een zinvol Ie inhoud van een nader onderzoek kunnen zijn.
datum: maart 1975 aantal biz. 54 igesc:hikt voor
I
I
~
I I publicatie in:Nog niet voor. pub 1 i ka tie of
!
ex~~rne afg i ftle
vrl Jgegeven.
!
Interne afg i ft!ea II een met
toe\-1 stemm i n 9 van
I
i auteur. I
ANALY5E
YAH HI'INSNOERV£RSCHYNSfL
BYVlAKKE
DE
FORMATIE
VA"PlAA
1:
_LJ.A.HDUTACKERS
tf ...
,.h f9,5
Jloarwoord.
;In (d
.HA.Sk.
dtd
tlau c;:W.ktr/dslu,{
VI'.£IM. 3f;Qn.~~atA-aLy6t: ~~ tnroi
&
bU~ {/au./)&:za,/-(()0tTr -UM-
ulaik
CUformatu. !lJes/~ ) 1UoU-t h.t~(jau, .i/M;
t-uikaa4t
M
1~l'u'~? ~w-dk"
iolnO-qA!tu
{)Uotu/d
h
/J7I"(4. ~ dooz ~ .])e SfJ~~cr ~J~ h ~ 'l'Ct-vt.~x:.ud tarn
dt... ..
~6k. ctooz~~/(/au cU ~~.lJe
~YI4L ~ ViAAA., okt4
Pvto~, J ui IJU-<>?u<.
-Lt
~a.
~R {
a
=
~/t.-t4atoU:
£k. ~R
h oUt
liaa..t (/~rt.t
~~?):JIJlpacU
t
~ het~i.zy'it
n-ta IGOk
ljl>~~ NA.o~ I/7,Ih oU. d.oC'Z~,va.u tUjJtaat-.
flet
dod 1Iau..itt
~k.. tj'MO/.uLk. va.- cu.). f-oolol?hd&9
Jd-
dj'ul/e-; p~ ~ II ~atooS "I'YUJdG./ II'Vn rf<-6a~·pta.ac
.£M. ~4 na ~ faa-.,w-e1k.
~tJ-toUi ~.bAj
(JuLt s h.aa.t. ~ ) aOA-i.- ~ ~ ~ ~ ~ V~ oU.. ~Jt.oIU. h cit )lcuUdiLk. So ~
op
dt. ¥~~fJ.Uo~
nu
CiLttocrz~
1/fMA"oU.
~o~~.eaat:
:r--RtiA.:1~:i Jt.aL ~ C)hdu~ ni.t.C ~ tM,.'/ ~~ ~~-Jig.PM-
"au.
~ t/lUhL~ J;6~ (T,JweLk
itrn-/lau.!
t.1
{r(ftA. cit. don ~. ~fcit
jt-,6o~ )ebd V; G ~~elJ.,
/lIMA.ctt
ptt:Jd-s(~
c4..'Lk
/k.'u/~f
J
#.8.
f.ath
hut
/M,(),pu..flt:. r;e./;~ otut.2 IJ;6 io'LR Iet.~IJ1JI.
Md'-
~ ~.
AA,~jI
tit..tA
~
inl:Jtt'i~
INf/()/J!JJ(}KrI?JlE.
• 1100
Ids';" k.
ANALYSE WIN filiT 7JvE£l>11I. INSII/l~R.f. B!/I//l}tl:f'lJcF. fillY PIAIIT
,1 Ill/EIDING .i
.i
IIO/)£L J/OOR HET INISNOf32lN /lIiN P/AAT (t 1JlIt) L,11. Geomelrie en even
Wlchl2
.1.t
fief sfoann in'lsmode
f
ende
vlael
vet::>rlAlacSlrde 6 '"m~
9
.2.3
8epaflng
V'dh cIe correchelac/i:,r CL
It)• J. €I COncws ieoS en een d /s
c(./S's/~
oSIer blell~lr'
lert'dI.f
"APPENDIX.
I
Geo/l'1elrk yan
ce
/nsnoerlng
FIG. I~JI·
(1-1m3ueo,"en--/c ~ "oLu-ee.le . .,e",.
ll.
I-I
1-2
If.
3lJe fwee
mOdelfen
vr;tS. /J.e!1J6I1/iN
ttl
.
r I ,.J,' 76: r, j
:en-,e
0/'..,1 ile/lN-*..Jl1le/c./I"9 r. .1[- S'hede .
AlJaLyse V9U BII~/I!Ian.
COmmenlaar
ap
de anaLy$~ tilLs MI/JtfHAIY JLPJJclvs/er
~ Jjl 5j:>anninjs Per/;()(/d;h'1en G'/J
de
Prh1dhe
JV~/?/lL-I.
Pech/e
spdnn;nllSI'IIe.9 -
rechk
clejOrfl'1C3;;e~?
j j - /m.1
ReCH k
de!o//J1a!;ewe9 -
larie
lIerlJoud/n
1
S/Jannlntj.$ j/e'u~/1k11 ff-IHel
/tIE -/:olen
I,sa!
Condon-
l10rse
k:n::::v'J1l7?en.Flu. ii-I.
IV-
I l}'i112.H (Gw.,d_ 11,,'61: /:,,.,,,,,,_en
1itIO, cit! lewa/,. ve,and. H/lH d<E' lI2nt!"lfie en de
LITERA TlILJRL
!/~TNoofdstuk
[tl
t2l
[5]
[6J
ftJ
[8J
[9]
[faJP.
It/. 8/(IOGI1AI'(. (JC 5205 p.e lIeENSTRA. '1_'106 A. NAhAl CC 5001G.OEHLER
Gl> 6.3~OPo
lV/)WlkC.
/V.
If«
6RtuOR.H.
II./J.
PUGH. GC 1011 1. A. G.k'A'
So"Studies /i?
Igrge
folashc /Low and /rac-/ure.Hac Gr.w-lIdL. New-York . london (1t}S2)
"GrondsLagen V.::In de f1ech::mische 7echn()~
/ch;:' ;7'
dee!
1 TechniscAe 'l/ .. .slic/lel/.sleer. ".J ..J
CoL/eged/c/af!!ll,J T.fI.E,ndhol/erJ (lq6N)
• Theory 01 flow and frdcture of So/ids ., dee/I /1ac (ir_w~lIil/.llew·YlJY'k-lona'on (/Il50)
" 13legen
linter
'Pressen u.s-w."(;g,L flal1ser tler/aq. !lunchel? (lq63)
Z
fet. ?Jet/I.
kg.
vol
11, P/532 (If/I?)en." Er(JcA tjelahr (Jnd I1dler;;;;!
j>rii/v1J9
N5'cnwelz. /leriJand Haler/af j>l'cI fong
TeeI,. Bel'. nr. 13:>
lig·
3Jp
2/1.1 NtN:(;qt&) Z(/r/c,~• Relaho/) s lJefween Slrees and l?edt/cfloPJ'
/n
Area
/orlens/Ie
krlr 01
ftefd/r ."A/ftE
Teck Pub!.
80S!lew
Yori m
ee/;09(/t;J/)
"lIeChiJlJ/Cd!
8ehav;'o,lIpof
!faler/d/cttinder
p,essilre. "
Ef4el/ler
1'",6/lsMngu,mp,.
lid 1/~~/I.~!twIonttt;Jo)#I E"9Ifieer'hfl PldShclly. It
U51n N()JirCl)1d ReInhOld
a,m"o.
1ohP'0I1(lfll.,)
~6rol'ldheJ'l"/pfr" V"al? c~ J>Ia.!lJcJleiis:-f)Jet.'halJlca oJ
p.
'1.//:, II')/tr/J Jeeh~·R~}j:U,.,..,.t.[It]
E.
THOI/JON·C.
YANG andS.kOBIYASHI
GD
651'1[12.] If.HIJY{)£~
w.
tlOFFATT and:J.
MIl. F.[13J
1.
A.G.
/cRlS.
e.a.
£/1./)
C.
Zh//kIcEI?Dr StJ·
6
8r/I
flecAcmlcr
ofPlaslic
left>rmahoY)In
tlela!
PrOCeSSIng:'The !lac Ittl/anComp. N-
yori
(lg65)II The Sfrucl"re and j;roperites
0/
I/alena!s //I
jool1
Mleyt.,S,nI,JIhC./lew.Yorl:.
(tgbS)/)/scussles
met:
Ir.
JA .6 . .talt.JlJip/.
rys.lI.lJaul-zenierg
en l)r.Ir.
J.A.H.i?amaeJers. ProIPjGie/J.s~e
U.I/. /?lslafJd U.S,,",.
PhYSicaL
Pm,berlie.s0/
Sold:! I1c1leniiJ/rSYHBOLEN L!}Sr
1100
Id,s
lu" .
c
~~"
cI
afolaud .0,sUuIwu.
alomft4IV vK .e..rlum£ ~.r/a,ud.dD ~/~l ~ ~ ~ 1M., ~M,'cih ft,.v.;)'MM:;/.
e
ltd
~RI~H /IIV'.I
'I
h oJ
II '
hooJ~ llau UM" .e&.~t ~ ct.t. "" ~e4 Xo/U % /u.Llh#fi
t
t
/;taaL~k
. In txptrn.bld vk. 04 lurk-u.hatU
WAr£44
v. Hie.n
••n
ItUs/etdHS'
exp~ttlj0
N~.o
P
!1
r
jJa.nullu/u atfnrWI ap)'au-d .#s
~~~~So ms~k fie~otJh
t
.LO-IUJ
clitk.
~ p.u~otWf'
II V W x. y Z d)( )( }
~/UeJ.k;..f"'"
Hk<ou.
¥f2.<.<.
Mu
tF'-l
PU~~x.(p4AaJKL,/e.z
fI'-'o~~u:.
X ..u·~UwfA
-UUt'Llokftu;tl4~k ~frrlMh'tdtleti.
!flc8
~'I..tot1-fu:tJh~/a-ku.;.
~h'aaLlt-Uf.I1'£e
Sjuu/zL~ jllUu~ ~aud
~
~dai.
D
£ F (j /IZ
J
k LIf·
1n~a.JU. ~a.u/.e
~
};,;, 04'ca.t....:.
hi
1M.
kf""'U-Z )
/Jet,,(J4;(,~ ~~
o
pt;
2"
e'
s
V
hi
/,0
tu,.,1z:t,&..tuu.,u /If /e )~~h:e"U ~pU... ~ fw.u ahu-u/AA. (;PIl)
r
;ropnJioklilt.:/tA,t.,jac/ztr
~ Lv/t. ,s1e1f)QH.If!V.E
CilMuiCi.ddd'L.
'Sp
~hi
V-UUCIl ~ ~t:Jt.tui.
(Hf!/i:Jt;h4tV)r
ap~!sla-uVuMf(f nfl1,.m,o.tU. ~r ~
u
glfec,~ ~~If
h a,t; uu,tt.t
it. jU-l.
i _
#pc~ hal.ut.d
t5
tut!r.
.!fI-
/J1at.~.
~¢J' d¢'
hHk _ _
.,
4L.r).Pua-.c~ J"a-u.;t>1
0'..4 .01.4;:11 ct/d/i {1.,,11. ;.tc9.u.;~jU-J~NAfUSE WiN HEr 1iVEE J)IItENSION,q~/. rNSNoc~J/cH~CH.1NSel.
/3.!J VI.I1J:kE ./JeFORI1;J rlE y,qN PLAAT.
.1 It/LEIDING.
])e Irei:./JrDt/
J'iOats dutJ.
/YlOJr2t«,1a!wndt
aii9~puIC .
.,Jd-suLta,teu,.
wet~ /ti..preleUlafajo/n
!/P1Jr
U
pUDtutd4a-feu tit
t/fu-kPf.
SfCVH.mhtf
un tU
t/#e/U,/It!mi..
.
lJew. cttformaitL..ula/u,
ki
~ J /t;/darcU.lid
au
WPLUck0= n bt·ui
it.
(.in;slal.,,:.&1d.ttprem).
l>e
IIJ~
VClM- nMJf.f
~
jnaVMd.t.
"/J7rtIU.~
k.
f;..e,u!4eM,
(J~t"rUftVetA
q,
5. bt.Lwit!
Uf~., t:iat ~lui-P~
Jfjl-bcueud
tJf.>
t.bni.forme --l£i
J1J/Ud..-ittlM
h101
~
nat~1.t..
/l.t&.
IJa.u 5"0% .
.
Na.
ld
/;tuu.~ ptJM.cit
tUclah:&..'/dh
~ /;e~u'd
t.d
~Ud V~
elL
tU.9'YW~
U.
I/n~.
./)e
de.jvt,matt1.
tjoaL
'Liei
~au
?<-~ &rnebui,~. k .I/L ltu.sf
at.dtuvL
~
~0(JM;~'
Miu.
.
'P.w.
B£/DGlffit{r:
.1J ctad jt..tUJh ~~ cit. ~/~~
£!Mit.
jJr()WtM;
Jtvdk
/hUltu. ~U:.u! lJet,eIG~~
#
&
/M,PYwUIlbLSc.l.y'P1/,e!. .lkt.
aualy.-x.
~ ;'UdJPYI~:1tvUk
1I'l7!n.~Iu£-.
r/~vi
tJfop.-tu:J~ ~ l/ccN§Tleh [" .2J:J maaJ,r14
hW~'i
P./A;-£UJllIUelU.jacIvr
ie
~tAL~
I/IJ7Il&1
-tJItd
pau,cit
t-Ucf14-O~'
tJ?
cU.;UJtdtt:tt'u,.",
/ZIt'VlA.~
.t-ullnc-t./,
W(1~ad
jc,eied'
;nah:
~.~ ~~tt.'t.J
1a6& /.tit;
;-vu..s
/u.
ffM4ldyUt.
h' ~-rt:U.vv.
.
/JJrtLirt;Wf,
-Raft
~
~hA
dt
.u,u.
~
~J1Ai!U
hWtid
tJF
II,
utt.f.4A" ~d f1a;u1<'~c:U
F~ 1/Cl44~
iu'lrhifo ctu.mate
tifwiU
Utv/A.ad
3JVdb.
1M:
ld-IJ«:Jtid ~t ydtt2AA..~
,
VI' ~ /.M;t.1U!ifr<:: ~iJt'-fe.vug:
Z>e
/>r~J
II)ltlt4
~ ~AM
/YaM.ld JnOdd
ad~
kXrcU
op
t:tt.tM-w~e iJUl5 ~ iJ~ jUPldfkMfttd.lat~ . ./.e~. .
fA.
uU~
auaLiic
~
f'1'~
van~
~~
.(}Us~st! I/1r!rr
U
Fat
t)~P-Ia.tU
cUjr;l'mdi ~ a!.P
taut.
iJuwtf<MA
uU
jUlia d fI1/1)'U/Uu
~.an hU?~.l /1()/)£L VOOR f/ET II)'SIIOEREN ;/19/'1 7>IflflT ( .f 1)//1.)
.2.1 Geomefr/e en even hi/chI.
;
tJil1tuJM.de
I/(Wt UIv jJtaat ~ FlU. ".I" tvlUU,/)j'm.
d£Z )titdt~ .Ph
iAardC
r
tvU~, ~iG kWU?~ ~fit
~
.1MctiI.te
tltltUm.
ptaat
bi
U4dtdd,
~
-cU
f/l)~1L. t:I.f1/U,n~pwtar:dt.
:1.
lJe
afmelzMj
~dt.
ftoat
tU
y /U'(/lj~ tt?~-
t.tu
OjJ'4-l-'t!lfe I/()M.,dit.
~ eft,Z
;U'eIL~ ~4Jd
Ito~ J
ctat
tXt
ll,t,
~y
~ fUId~SMd
m~~. lJtvJAmS/tJvu,i!t.
j;tadbretd/e.
~. 6-u(MM?~
Uau,m
&p~
tU
Y
~
wzn~ IJ.Utuatu.IoOfd. _
.;. .j./()t.k
#eku
b.lt)ZcUu tJUw~d.4t.
/!.uo:ud.u-s
/dd
Wlndf
~dat
ck i-U
hto~t«.
dit
wwctd
~
er~dvz,t/lIZ~~ fU>~kL
bf/.
Bvn~
ctvu. ptoWt.t~
WIndt
fd
~M'dt
1/aM--.uu..~fi*iku:m4at IIO~
dtl?U4d
~tit
~'$'Ie~-~ /JCVVf;
ciI.
M.hW~'1IJesckotudd.
(F/G.. 2)Het lJtai:.
E FG IIt1
au.
dilLt;e
/Jan .et44 ~du.op)M-Iilal
met0
ah
~j;tAAd
fM,tIL.
&~at4124.taxi;uelt
up
lid
Iitai.
pau, k~.(Yriehluif)'
De
1JIa~ f)/)IIE buBcor
~00pu
~k. ~1IfMA. &~cft"u ndt
11
a.h
nUdddp~ LM-ott
~du,
OA-t,ociA.t,elt
"fo
ld
IJ-tcd
p~ ~9(y
1U'cJ.,~)JJe
fI.ta~ fJ8FE 1M- DcGH ~ jJta;tk ~ ~- .:>Wifais
a.au
-fd
~~
IJIJA,.!.dtplaa;iON(Zk,lcAlmj)
1M
.fAt.lM, wf'~ ~#Ii
(%
r/Ch~!).
fief Hal
jJ Ide lJvi
.uu.
plat
trtai
cto/J't
N1'/
(~ .lUt:J.,~)bt
4tJd./U.
dt
OP
ON
(1M,
citY
M 't>A.~) .
.5.
kM::Iu
u.nrzdt
~~,daZ
¥
I.d'
~fU&-~
IJWl;<..1
JnLdL.
ttit
J'y.mnu~ HaIfM.~J
tJilttM,
lotJ/d
¥~~
~.
()pmfj)~~!
..lit. ,FIG.'~t
0
r&eM.r
Itt
~
IIt)IUfd-
~
Ut~t/e
/;P7HM
cit
X-CI/IfJtkkuY.
lIel.
tlfe;uwicAitvndi
~6escktudd
¥
tvu ~.M. ~I!).ln1;d.
tk
X.
aI.k
~~
lE
~
a'aK
jd-iL
IUd
.,1M.dt.
Iud
~
CZ
1M,Gi:-;.
oGZ
dz
/l;tA
t«./tik
.!
x
2.)
=¢
~
.
x
FIG. .1. Geome-lrie VdO de pLaai.
_0--a - + - - . - • 1--1-0+-+-o
•
G"z'·
(oz+
~.h)- S';'¢'.dK.~
+(G+g;d~
h'
~
-
ex.
h.
dee
=0 (.1)
M cit fWmelu.6vCWt-
T16. # .2 I!Ilgt:h= 12¢ +
R'i
eos¢.:>- ~¢j
== 12¢ 1-¢
{eos¢"-
eos¢
j
-h'=
R¢
+
12'{WS{¢+d¢j-UJS¢}=Rr}f:IU;S{¢f
d¢J-Cr.J¢}
6e/;ruik:
ma4nd /levu
~ ~elajJ)bn
/I7Jn~
~~
kau
md6daLjJ
/I'tU4/:R'=: d/¢> $t/m
¢'
==¢J
=
X</:>
Ci} iJUF:/~(
.3)
pdransjrn,nuud
~ ~:h"=
h -
c1>.x.dJ<
j
a
-
2met
h'=
1>[R
+.aA(1-
X~t.)JN.B. lJe 6ejJ~ lIatN
IHAf
(.,z) , ( .3) en (.6)
h
Iuaq
Ie
~~ ~ APPliND/J( I.( .2)
( .3)
( .6)
( ·1)
( .0»/tt~ ~
tiL
~t:n-c4.
~PYIw-ndC'
H4lVaM47o.J'~--wrn;d.t- -l1a ~ c:b:»1
¢
dx
CIt.. 1J.l4g- (. '1) :,
·
oOX
(
Gx-Gz)
x _ _
-=-1 _ _
_
ox -
a
•
LRf :. (1- ; : ) ]
.
1Je.scio~ V~
U
~dt
aUau-~ ~
VlIt'do~
/JrlTr;1,w~ Ib7m
td
~~ ~ ~ ~r;ttJ/J~J'~ ..])e ffll/T)~~'h4 ~
tHJ
vU, a'.t, kte~tk
~ ¥tt:no~.
.
Jku
~e:u;f.Iuc, ~1!d
~/t/lI1IJ.ea
~ ~tulp~- ~ A.LJetnu~~.
HeM.
wndt
.t~ VldJ~ h4.lL ~ du,L.o)~S'~Jw~
dt
~ jlIau-I!d
~ h ~~JIM.,
wat'uA:j
~ ~ ~ ¥~ .eu 4.d k~pull
.Itt:i/l
1rrI·~ ~k
o/.t?t7Z~ ~
~
vH.~-~ oJ ~da.C htd-.6~jl bA~ ~JnL,k.i.~e..rc~
.
~4
~~"
otat
&Ut:UVu.h~
5~jxu.-t./~h.
bp
U
IMlcio~ ~-
~ 't.H4~ ~ktr/d¥~.
{, °
Ne
~ ~ tl.tUt..J cta:& dt, 1J.to.u." I/lI'7"PW~ /ZI~ltH4 ~ ~
t4
vz,;,
~ /Jte7trt~ ~.~.&u4dtt
J/t.F":
~~
vau
cU
~A.l,"~
pfaat.r
l.uft,
'UJda/ r;U &r~ ~ hu°j:&~~?-Hi
~ ~pa-,.t #U>~ wzrz,o~. jIarfLts;mttu..
~ .ex:jJUA.:~~uit
/IT71 ~ ~ t:U~.~11a1l.
JYu)cUL {.
6tdUtA, ~-Ael./4..tNt.
~.p40"-4.,
waadf
ck
a.a.u.
h~ III.J,it,u.fo
ht.t,Ad
b e-,.' c:U. ~ ~ihj
b~ ~ ~~ j,~Uw. .EWIt.
kcudte~
Jy
fA~.
~rRH-O~
~. ~~ ~ ~4. ~d.t.vv IAA. APPi5=Ni)/xj7
fI.et
..
Pl4-Octd
c::U. ~'/AJ74 wa.~Ie·~ INdidF·----.~---. ¥p~
~
..
_.-...-,
_~JCk PuC ~ ~sC~d:j.Uf I2a-u;.n~L )tUo.t.1 ~t
. doy=o
Uy-
Gz~ O"X = 0.:z.
-' ' . "wdat:
( .. 1.2)SuDsli.khi
llau.'-a
~ 4J.UKJ~ ~cU
sp~~
u;,
cit
jbIoeil/utl2tt/~ '~.t/tInl7u'.ft"'}o/t .
.fd
~s~ ~~aud ~ Ci., Vz t-u UJC.ta.t
=
(,G)(-vy)z'+{vy_UZ)l
r{<TZ-Vx)2=(Chc -
G'~ _o-Z)
2+{§ .;.
CiK _
GZ)Zy.{oz. _
VX)2
:z.. ~ Z . t
_ ((7x~
V7o)2
1- (VX ;,C7zJ
2 -I- {O"z _ O'x)Z .=
(..!.
+ -L -f.!f.)
(·UZ-
OX) 2.=
§
(OZ _ OX)
t. 0/ Y y y
I>it
)U.w.l
okut
vr:v.'
fa
v :
I
c
CTz -0;.)
I
I/kwlL
~ ail-
FaLl
C
G'z. -c;;.)
= ~v-Ia
mel~,/J
1Htu.let
~
~
NA,IJ~ ~
tit,
IP~ fAA,X
~ !t~? .f4A; tZt. ~p.eif'~p (7 t,?
!XL
rti~h.'at2L /l"Updj~{
-/0
/Jl4.ott,t ~
tnd
W2."l~ tM, :( .. 13)
(. /1/)
( .15)
C)rh<:
=
- ! la
><
_ -
yO=
x
~
~ra
·
L
1l4e-i-aL_x'l.] -f i
·f.laR-x"-faz] .t~u>dttt J fUl. X pU.
~~
~~
h
InAj
~~f~
1AJtJt.o~
PjJ:
dGX
[Jtl.e
-I-af._xtJ
=:; -4
0:
x
('
.16)
dx
13
I!u~i~
(.I6')
h
huci:.
~It..~
I4edmacLz'n~
I/(J()r
x::c
ox
= 0-
<:IXd=O)
~n. JUtt ~.
(.ltI)
Vzx=a
=OZ,a
= 2<718
Ol>mu~:
t
Pxj
fa
~ k~ IIUO~Skftt.u,
~ JIJIaG
v
~
ri£
-u;;,
Jie
tJb:Joz.~
~
~ck
//-aUK
VJ.
7JUA ()
t-?' etru-s f.au,t. t!VUaIL
dotH.
su.u;U~
oU
y)u.·aM~ PU~t
G
~
hdC.
1Iet-
~~
VCUN~
{.16}
lfUtoopt
M,~t:
Fu6
i h.' ~ teaM. ctuu.. ~ ~ ~ ~/au,f. .b.,uu. t~tIt:
7<e;sume:
S'fa"llln?Sloeslar;c/ dis IUnCh~ ¥'ar;de l/}s/}t:er~lr/e. veer de k.le/n.sk door8nede:
met:
(GZ-
O"x)
-=.l.e(.I'I)
Ii.
O'y::, G'z + O'~ ( • I~)
.e.
ax.
= 0 ,ikuXu
VtJts>t
tAii (.1-1)
tu de. ~ ~va-u~: (..11)
• 1.
a
I3epal,n;
van decorreciJe
/acbr
'L"
.
le"IuUvzac/d"
¥
~)tatd
J ttittj~.ltu;.
~ span~1M. Z Jd.c.U~.
1M.
cUk.tuMslb
~a~ ~ ~ao~: d
T.:
.b.
1./
GZ
d X' . ( • .2/)o
tuhdt ck ~41.t:U1.L ~i (JAM,.
I f'41dd
Cla..e. h.a
( 0.22)I
=-
I [
.i -
,t",,{taRj.fa
k
[~aRraz_x2jj
d-K (
,,13) o < ~ t:!J d~
I
-= /
dx - / tu(2dJe)clJ<+ /
Lu
t
£aR-I(;l Z_Xl)/J/Xo
0I=
X / d ->(.Ju
l.aRIi}
o d
+ /
tu
(zaet-at.-xt)dx
o 0 0 - ~
I
=
(a -
0 - a. ~ta
~+ () )
+
7)u.rI=:(
a
-/1.Iu
.t tlA?J
+
J
a
wtt~
:7
=: /.1M.
{talJfal_KZ)oIx. oJ =
a
k(24,e+
0) -
0J}
k])U4
]:=.a
t...,
taR
-I-k
c1
tfJ~
k= -/
x
d
L
L
{ta~faZ-Kz)J
o
J
De
iu~'lat:d
k
~ ~
~
ECiMfNM~
(dl/lbtvu~)
, a
k :. - /
x.
/
•
(-lx)d
J( o t.t.a R '1-4:3 z. -x t) 'U>ctalk
-=:- -I-j.,fJ
t
X 2d><
o (2d~fd2_XZ)( .26)
( "ll)
j)~r
ou
4Uu
/I"a# c6. ~ ~ ~ ~ ~nat
ok uul/;re~!t. ~~
tu:t
cU no~ -£;,
cLvu.u
/fU I/()~ b.J.tU" t/aM,a;
,.i ~"h tXt, ~ ~k
. ~ .f.w.u ~
4
ftfoti~.k=
d - .2I
(iaJC-I- a f _ >(2) d><.+
o (~oR.-f a 1. - xzj_
~fa
d><+
o ci12./
(taR I-a 2) o (ta~-I-a2._xz.) ~/'1 k = - 2 a f - H ~wl2ilA,~
If =-+
~
/
(
2.~1C
fat) c/J( . 0 t.td~-I-at) -~x. 2~'1'LIu;'1.atd
11
0
~4.
sclMj
tJ-?u,at..,.-H=
-1-2 (tdRfaf)fa /
dx
o j:>_qx 2 waM~p=
{t~efatj } -lA.c..q
== .IOjJm~§!
/
/
dx -
-Lelx
oP -
1)('2 ~{j.:g
k
I
Ii.?
f!lXI
/pq' -2
x --.. ( • 20')( •
2~)( .30)
reloLt.9
Innf'i
>0
,,/AA; cULt ~ ~Id
fWa!,Z>lIS.'
H:::
~/
id,er~
2).
/
.
lin/I
{2tJ2Iatj.t,'
-I-f.
Klid
-
~I (.taefa~f
{(tq.eItl2j •.t -
1.)(
0H
==I
(tiJR-fd.tJ • [
t"
J
12tlle-l-a~'
f. X)1
dJI
iIJ~'fa'l - x 0,NadIA.
uiJ.ttJU~
ctocn JuiJf4'/uk~
ok~.uu-
fbII·
If:: (
2a~.J.a 11[~nl
f
tae-laz, :
-fa
I -
k
/-:;:=::;z:::=::--!.taIUd'Z - a 7Jus,'
It=
(.ta.efaI.7
[1",.,
f2t3~rd2'
f-d.. tll.oRfiz -
a
( ,3t)
Opmt!A8:
4
!k-l-g ..
k
(lPfa)(lifa)
-=-
k
(ljfa1:%,zk,(!;fiJ)-L(p-c
/p-a
/>-a2.
1'_.;;"1.
0,6
~ak>9.L. UU:ju. H-n. ck ;U.~ rIII = l,taR.fa:/
[1.4 (
/ea~+a,l
-f-a ) -k.
i.toH
f4z-1.!)
1
11=-
l.taRfa~
[t
L (
I
Za~
-fa; -f. a) --t-
t.d,e]
SulJslU,f.u..1U 1/Q44; ( • .33) J (
.2") , ( •
26), (
,,2V).in ~ ( •.t.t)
9tt/t:
--;: -Uofi
i
~
-
a
~I?
of .a~.;>
ol'~ \~
of/.e8Rf
iii/21,,(/£>fJta'O
u)-
-In
2.11J
F =1.2. h
0=(
ffl,iU!ra'l.'[,It!c.(12c/~i-az·
ra)-
...tn.Zf!/.e] - III1
.
f i ·
J
F
=
9 . .tab0'1..1.
JI
ta.eI<3Z '[' tt....
{f$dl2f;}£-fCJ) -
k
laRJ -
.t
I (.
3Y).
fi
a
.
J
1Jeu
!Jf!'r;~~trzrzn.-.r
t-? ~ ~ JC~~ ~ .'( -.35)
I/~r
T
h "
ScM.y /)(A4/:T::
2k
(12d12fC;Z ' ..;.a) -
-tu
2~1e
=
~
(/2iJll-J.i}z· + d) 2. ZCJ~• Su.b
fit:
~IU, /I~ c4 9~ he.lz.t.l~.f.AA,. I/~tI
teA,T
~. ~.t
IIJ.r)
teuut: .
.
F _
-
-2abT
-
0:
. - - zgem. fa!:>oz
9~ :::: Clt, 9t.~ot.ddoi 15f(;:tA4..~¥
tiL
~ sk"'-'..n-~ ~ r;U
)-/aa.,t-.
lJea
t,;
~ &I~ ()loo-tM
.UM., ~<tu}U{,..~tlUij;ro.t.j
tJI
ck />~atF)
a
eu. /;
~nu,/vut.
C(Mt~
..
aM./AUg
C
,36j
-IA.I. (.11)
A.-z,lurc4~(l~L/I:
0-
=;r~
v;.
fem/ (If
t
a~)
'/z:",/1+ :
+(~)
'A; (
I f~":.,JY
-
f)
6f/tud1
. 0-
-=
CL'OZ9~.
<-/lut;eIi"'"'
~
~ de~
In-tn
~
nul
au;.
vtM4tXt
~et;;,.laclzn
{lall BllC/gh1tM4.~
U
twu
dt--h11AAA-ia
n
ah
!nOctd
Cd
a9.uf
f .
o
=-
if
C
8 ='~c.966
..
ca
lJe.u /tzelvr
Ii
h
af~J~ ,,~
tit.dPA;n.~
-z
( .Jd)
ftx.sfaud
~
fA-~
k
~~
~
H-tg ( •10/
lltit.ffI>
t1
~ ~~ ~ IJPPENDIX.I (~/>491l-6
J CIIn~ 1 JW49
!Jl-JO'tnil-3Q) ~ tvH~t).
Numerie1:.e w~ V~C'8
:Je
S teA.Cf
'o/n D 0Ie
~~ ~ TABS}. _ .3 ~ . -ltd ~(;kA.<>t ~t4
eorreehlja.cf.ut
MA. (~) ~ cXLaza
~~~
FIG . .
~tal htt
IIttTnfa~k.6qlt:J
ctaCid
In~i.h
tJm Intt1xiat,6
I/(JM,auu
/a-cIzrr
J 1M. cUv.Jua-
tU~me.1Ue
(d"R.)vcw"
ck
vUfno~ dt. o/fu.k~ ajJ~ CT ~ ttL~~
doo1..rn.u:4:
~ hda~ a(l4A,ck
~¥~ ~ ~. ~dk. aooz~.
.
.
lJe
~dc>~ 8f>~ ~
ck~
UC)A4. d<tVc.1no~f J ~
1'J
OJ6"
en:t> ~uiC
ex)ui.-~~
()jJ
&
ttJUtglu.i.
~
.fd
~
Iau,
6~~
~
J daZ /!?f7/l~
~
jc!44Ie
cfJ>~~ (dI.u~/h£r;k..
f)Uku.a~ ~
~
ho-o/t¥¥~)M ~
vOn/{,
uulcuo~ ~
c;U~
~
/,e,~
.(zle
IJPf'CN/)1 X.J!Z-.1)
Ltit9~ ()~ ~
Mdk.
CU/vz.ma6.:L~
Oz /
.! y"0'
x
=
I : Ott .' - ( 1-1o()
. { •
'12J
0( =' eon.slaMi
~t ~ J
ttt:d
tnrto~lnOet
~ A~ dG /tlJ1n4JaLVJ~hI.d.W. a,e, ck. ~ ~ P-bt ~ ~JCUJ ~J dau..
h 00
(;l,u,oau
JfJ~
fH,t..~
.-ld
tJtni..
~ ~
~tu
hA1.C-
~h:wJk
r-
.
M.,
Md.dt.
fW~ vi a~ ~~(
.$'.3).~I:- ~~:
Ij. Ox = 0 / o-tak¥~~ ) Gy
=-
2:>/+1 = c~/&k4-f CTz 0/+2 -. 1) CTx.:C1y=o (tr~jJ~~J. 11,/~~VCNK. I)J)
c(=.1 - O'z=O'y tn Oz:6y:6x= f : 1 : - , t o-x:;~ 0/=0 --- Oz : 0'1: 6'<..:: 1: 0 .' -.f -e17AOM. ~. ( • YO) ~ cit J-1J(M~t~(.~ Ut#rA.. 7191,;~L .L
(/{)(;t X=c ~t .6~
J-u91
~. (.1111) ,/1,8 ..
In lABEl . • .1 ~ dt HAfouo~~.vy
~ ~hitt eu-w, lau:t J In a.tVJ. U tLULo)J t.'M/ <Tz CTz
In£t
t.d
v10
s/a.Jv;ei.
d.td (.
<7x ... OX"CTx
J .
vau..d<...
Sf~~~~~ (~h4toU~~9 um
=
Oy)/;;;j
vau'cUU,. nrt1.></ad/aiR.
, k
1f41w~ ~ ~ ¥~r#U<J~(CTz-(Jx) J(O'Y- OX) ~ {Ciz-Cl}'J
r
w-eL ~/~})tU
Iatu..sk
~/a...~ ,e~ ~ld
~6tweu.u
~M.et
6ddp
Ihfl-u, ( •Y.t).eu
~¥(;W.t,~
-
.JU..i
da:tie . ."
(:tle A J> Pc N'L)/X /1/ -.2)
In
~ ~It docrz~ fi.o~ cit,Mat.
a!t.df;i,
hdt
~
()jJ U.:cJA /rtZM,tiL
~ofo! /U'd~~
(,t fm<,-~ crym.~~) ~ ~dtU
met
/;~s/~u.. ~SfoCMA,~r ~
uLa.Zi.e,
~ ciL. tAA.C/U~~.t#t'-h,/Ie,
Jzd.
tp~~~ci ~
~.
/Jtm
fd
~
6esc4At~
fWd
fr()-t,i
ota-u,.-( • '-1'1) ( • 'IS) ( 0 'I})
{ • ¥&j
az:: - ox
~ oy=o ( •'-/9)
.~~. dt. ~hr!
~ tmva.-u.~ ~ V;/)(AdM
~IeucL .
-{1m tk Uu,:"sk tU>OZ~ t.?
t:tavv.,
If
z:::+.:!
0; :: -
.:1.
dj,
113
f3
O'J:: +
k
;£d I1-td so: O'o-r.rfrtTHi:..p~tf;ata!tiA: (,,5;).so
t.
tiL.
/e!.u,UcSk.
tiotrt~ I/}' ~ ~cu
¥flchi
tiect.t,fo..mai:u
u.it
dL
~~tU.e. ~ cU M~~~. J)~
trPttJt:J
da:t-&
Ixp~ ~f1i, clt./znmt:btU..
A..UatU:.
{Jan. ma~~;ntt
~/JlJtVu..
ctuu.
11d~tIP
jJ&:u:dftrt
~h
~ PatA. t:k I.M,fn,o~t /I'UoJUt~ ~.
.,
TAI3El .3
, . i.It.
Conc/t/s/es eIJ een dl::Jcuss/e!' over bret./Kkrileria,De
~
.s!>~~ C/~'"
vY"
Vzr
I'J,U.;~/eud
a~
ctt.
IJ-Ioeis/>au.~v,
aLsfouc4;:,
VaM,cu
~tyU.~~
cu
~sie a!ooz~ &~,{zk T8BEI .•,f)
~ r16. ..It en ,,5
xr-
t){p;u ~ CTfUtdcduu::U
c¥~~ uiC~ ~ a./R
/J'Uc
~ at, jJ~1et. ~ht.df
x/a nut
0/£
tJ.1"
Ptu~,ttit
&
~ 1/CUf., ci.l. ~~h
~ I!o-u~Jcta..t
t.U
mtt~ (/tM-t,tU
auL
¥,a.n.~~ ~tJ/J
~PfaaLOA
4~ (X~ = 0"Zle
r/6. (2)/1Uz17t
~
fa
~af?
cI.attXt.
~~
die
Ix~,
~ ~ma 4~ cf~
M
oU.
M~t
x/a=.tJ.
Ef'
rn~ IJ-U~~ale
(~,a~¥R ~) Wuzd.t ~ ~ ~&,i waa-t.dt V~
clt.
¥~
~i
~
c:U.x
,.u.·dt~ F~'
(~ Fla • •
5
en /1913til(2)
t1.v
~
tu!~iZ"
da.i h wat.U.~~.. ~t
tU.f'
"FICT.
.6
e.u.. TflBt:L .",P;,f
Itx.~ o/~ IrU ltruc~ ~ ole. ~~I'~
cT
J~tUA.d
aaw.
cu
CIz~
0/
~
cit, 140 S fa,t:v,
ck
Sfl(:JI,~"",~ tJ.fo ck, p~C6Z4 0;0 -'~-.L/M4
~k.u.d ~C2
~ J1tH:.,
1JiC wi,,{, ~.1 dt:d- ~/ ~ CLL/oz..»'1~ c:k.
mcFtUt.ict.
trWL- ~ p.u~ ~.IM, t:&huu
()jJ
b~ ~
~
k~t.
.
~£d~
~cUu;Ud ~~
~~
.k
Wtno~ h1d
.-UA4l/U.I/trz.~~k
foU4IYI J maaA.
tJ-tJ-J.
V'JdL
~
~
4;
~~.
11.8:
1VtLJ.
br~Akku;UM4 .bu' wilt ~ dt, W~lUjk~PQAfUtf,tje,u,
au.
ttatu.&i '"""
AQ.f s~?
~ ~
ClAd. Wtrrvd rk.~
¥
ttuu
~
h.,
~ ~ ti.l4I. " IJejJuUe's
~ ~ ~~.~ eM-
la.du.
Luff
wd
~ ~~/eaa-s~ [to> 3~ 7" a:l If" 1'2) I'taats~,
lYe
W~/1.AjiAk ~
~ud- ~
~
~
PtUafUU¥
fH;t,w-uLt,
"
.
DE VERHOllDllVG
0'1cT
Jlunche
van
d/R meetpapier - wormerveer yc7
el) 0" ~c7 d Lsen Kia
124 HTREEL-
.1
10 deelstrepen is 15 mmm'
i tTt'l-:H
+ r+.t= i=t+t ~4· - H -tF'-lt ti . e+j,l~t ~ rt:h+-rt:
+1-IT'~'iT f+f+ ++ H-++, + , ; l-++F i-+._r
" , , , , 'TABlL .2
-DE
J/ERHOVDING
JZ:
en
OZlf!hI
meetpapier. wormerveer
~
aLr j;;ncJi(!!
ran~
OZ.9C''''
124 H
rABEl.
.4
])e
IJ-UOlUiu.s~
Iaat
tr·
k~
ht>-Ha~'ah
lui.sj>~~
-ld
g.uJnO~ MH-~. /).U~0;-IU.Wz,d .1M, Ole ~Cl.MA
tJ?
.u
tr"U-hl a.~ (Jau- ~~ fo..e.~t- ~ waaAs~-7;i:
-P.BR.I/)61f~N LL~/>MJ
en
fI.7>t./6I1Lr:l?25l1J/Ja-~
dvu.
HMYudus~
If/>
(d/ut
Jdat
,aut40sfa~d.t aw1s)~
cUW/JV!JVn,t~
tJa-w..t/,4t,
lYJaluUaaL
~ It>e~- lief exh~ VtUt, 1'YlCl/t1nU. tu- ~.v.
fa
wa/!4ju;ea1-/. PUG+! L 1 ~ ,6~"fi;~il ~ hi. 7tJfll'lJON [" t1~
jJ
12tl Jfi9.t1
J
Jv. kFllCtll1t1 t:10J ~ :7.kALs
L
9 Jp.
4.11J
-enu.qa,
~ fuk.p~
¥.au.
~ ~n:aad.~ ~
s/t:l.a.#b,
~-id
..ta.6o-1.a,/tru..~(lUi.
P'P-l.
WIiAYl:>c;=H e.d. ["12:JP
IIVJM
t./oJ ~.q~ wy~ ~
ctvu..
Aidt~.
P. Bel/)Gfflul [1-
p.3
<IJ
fJVU)udu SIdt
d.t. ~P~iPe4Jz.ud
"I'p6uMld
uit-
~ ~.n.t .
../.lA4 bus~k J~fnXA.
cU
flluM,sle
c/.cxn~..UJ.uu
h-oclfa,t;Uck
Jpt#u~tvd.k
(J~ mdx/a.
d. E~
l#O,ayr
inc;kU~ tI1T/J2. 6~ t/~6ud
~ dLptatd"
4ou. ~71':
~d :
dt. ~~ Vi -GJ(~
hu:ltAc"le.
wa~
/;.uu:&. t.
7I1B~L
.5enFI6.O:r)
~
Ew, t:Wt.t:Uoo?- ~ fo~ &.~~ ;trm. ~ ~
6~
tf&.U.L-
~eLluielu.
tl~bLj
cU
~ ~ ~hu-Uit;
ft.u
~
~4. ~j:>;;~.1
d.
at.
dG
#-Ufru.-~
vz-
(1m ~ tu'ki~ tvtlOAa'e.iJuLi./:t.
1\: L ' C-"., .
u.c. h ttJ..l,U~ ~
r
FlE>fU .6 -tAA, "F/G. r <J.~
U~
irzt,u.J.
wru:Lt~
6i
~
,,/dd~
JLooUa c:lJ.,
~c.~
R.bw,w~
J~
daw..~
&;.h.4ch
w~ aa.-t4~.N.B:.·~wd ~ FIG • •
7
a£o
~ 1'/6 •• OJh
tVClCIA ek.~Jdat
Jy~ ok dt./nvna~u:.
.utS'1e ~.r~ca.
~do()-1.
nuou.
~ dL. ~t'aaZ
Pbtl/tl"l#H.t(Q/.e
=
~) ~ ~-thi;
~ ~~~ r:itv.J ~~ IHA -eou.o~
0/£
II~~C4-
j:>f.aatflA
(Xk'::0)
naa,z.
~.~Iff.
(x'/a
=
t)
IUd-lJE I'ERh'Ot/J)/NG
meetpapier - wormerveer C;z - O"~<11 s
~ncl/e Pf9n ~en
"%
OX 124 HlA8EL .5
10 deelstrepen is 15 mm1JE
lIERI-IOl/f)/NG
Gz-(J'mc>'s/uncll~YCJn
%en
%
Cim
meetpapier - wormerveer 124 H
TA8Ef
.6
nuu.
p&u,u.-;cl
I.~ ~P7n~.J8n-tM-3la~ ¥~~
~
duA
~p
dd
cit.
6~ !ft.A,..'cl (J~ut/td!..
tl/J /lau"t:U)
~at(x/.;;::"o) nacu 6u.(j~ Ip.e (x!a=/) 2-d ?oau hrlmuv.
f!fLll>Nlj; ['S]
¥
WaaAA~o/-;£ ak ~ VCUvok
..tbUJ*-
ctit
P-UA~HL ¥~~.urn,-di.. hd.b~ .lM, C.ItAC GeE60.e C6J
fu.#-au-9~fi'uu:i
tnd-.6ekd,6
~
R-oncfbc-
sh~
if/'
~ at~U#1s/rza/
Uu.
~hH va-u, .6~.I~ h' ~ ~~: A. /{A.DAI
r
L; Jp
t91 encPt .)
H
&.IJ At enfi!cfJ.Iy.eu).1
h/. :lOHt/SON [6'~
p.
IgJ eu,uit
uf~ wa4,;l..1U~CJj:J luk.p~ ~ ~ -f1a~Aru.~.
Het
/rTrvl.'1a~ ~i;f ~u.:.
ctt, /U.~ V~ .£Uv£U.
luiU/WI
dat
Ie
ti-Z-nsc,Uy ~h
a,.t,,: .~ tJau.
break truhlkttL-
ah
C/m (re.s). (7/:roJ~)./Uu,"hU;/v'w-
w~bl/2U:Lt .
.
Urn
=
Cimc ./.53)
."
h.
~ tA-uo~ ~au.hd bu;~. UA/n ~ ~ tt-ULu:u-uX ~dat
IJ~
/JaM,6rea~
tJ'U-I-alaaL at,cU
~
~f..
~~~
(hcU
OZ) .,teubu;k;
~
waOAd<,kuiLt
CiZ
=
Vz c ( .. 5'1)2le-a
tJ.t.wndtA.s~ ?:s ~*-
~ ~.'H.PllGHC
r
<>P
lbqJ., hi· JOHNSoNL
8;,/>
,t.23Jf9·
J ·6enf!JJlfli!
.til ~
P.
BRIDGffflNC
1~P
6'1e.v.J.
O~ e) ~
vve
dp ciiJ ~.:Ivu:~.na:.a0t. ~~.c.
Tltu~kUe
XIrU a.£,luaJ.&·Iu.t.,~ ~~.~.:J
w4tw.1AJ.JA. cU:;
fWo-hk
s~~~ ..uu,&:AAck
w{).CU4t
budli.· .
.
lmax
=
{max C ( ..55)
])it
laatsk
Iu;,
ku:,UA;I/V
tv-n-OU
~ ~~
1'.
SI?I/)(i f1HNC
.:! J/>
&1J.
~ E. THOHSO!Y •. a. C 11'7
P
1'1t tiM /S'!']tv7rJ..<:Lt
ait
k...L'-~ ah
-U
m.t.Ut wCUlA4~4-'k
~up
~ ~ uit~ hn.-s-Ufor~ J w~TI-/OHSON (}/Jpuf;.udu cU,
nu:Jtd9
i.1u;a
~da:C
de-t/Ikt:.
~
JaJ.
~~
~
/lCJ-t~~ ¥~.
])eu
1aat.sk
ij>~ vihdc
t-U.alufd
ntL/t6tt--/)tu,Jfa~. lJl.j-en,~ h >d,CtU.,
h-U'jU9£
cJa"J..
q
alL aa..uwGuit~ 1t4u. Uu. d~tM-Jdit .{M; ~ S~/:>~ iJ./l ~ ~
..ltM..
lJ.lAAekL
~ ¢r.u.u {no.z»t.a.dJ
tf;D~~.d. S~U~ wrru:Lt- t!fo~J
ct..td
~t:k?<--~ h·...0ta.~:
- vaal
fUUtA. ~Jv..U..i.
V~P.
/8£1bGij/JtY [t JWTU:Jtt-HA~.
-
~ m~ ck ~8~ ~a.Lt tvtndfjctat-..u.
~ ~ ~L ~k-u~~~
fL
~ ~.' tJ.a. PI3RIt>GlfrlNCt,
p
&5].- cU f>~ ~ daaLv; h;, el J~/u /4Ultnrnt p
Waat-I;,j
J1.di-
IvtrzdC
~:J ~;6~(Xt, /rb7Jl.
-luu
trr/7n. ~lJeptUUd
":t
fie
6zud
hrtI2-ScM,yv-tAA.. a-~.C:TI/CWSO/ll C 1/ '"
P
1,/./-/5.3]-
cit.
t-U
cit:
41vt.a~ ~ ,6~tu·~a..IUd
ilM.- ~ ~ I/QM., ~kpaaLd
h'Ult4/
LM..J.W t:ta-
ted
IUt
Fat
~ ~ J ~CU:.t
~.
~ .
.
e.
~ d.t. ~ d) ~ tr7rtn,..6uLc~h
J/tu:£.; ~ ., ..~ ~u;.e,~.1 tUd
'f
~~. t/fJ44, dt~eI-t:1.ddL
~i' ~of
Vt2+t,&
t/n:J
&/a-&r;,
d
aLuL
~dt.
~he4~cit
~cu-tA¥
~ ~k WInd/.lJi/-
~
.u.kie-t.
~
~
~ ~k~',
dt:.Uom:::
CTmt::(M-Sj>.
0;$0 -= Cii.soC)
at,
""lULJ.k..u:/ut..~~~~t4.~.
Ilvd-1Adusld
'..l/AA.-rnalvu.iJ..aL
ht.f..t Leu~
£o~
bt-ttd:.
j>UMAOZ
c .lk-Zl-
wa~ ~4
oIt. ~tU ~ ~ #w;~Irtn/t~ ~~'f4~~ Jurttic ~
o.z
h/t/l.f~ ~.~(f(A.
Iu
~-Ia.t:d-
iv
cLwz.~·~d.·duL ~cUfuz-<71
Fig. 6.10. De opwekking van spanningen in dwarsrichting in een gesoldeerde verbinding die
matu
kt"
wa~ ~ ;u;~tMg (JaM- Sj;cvn~~nat
pfo..at&~.Om
tiUu,-k;?,-
~ S'f~ ~ ~ /;-uu.~ ~au" ~mat~ p..u ~CJtlA.d vnoe~ ~ .bu ~
Mft
0os!aA:tA~ hd:.sp~ (tM.. ~ ~;x.u/YJ)a~aU
~
sf~r~)~
Mo-e~ ~
Iu-~d. _
N.8. Om
~lott-
0-0~/a;t;i"c.k 1uJ4j.>~ ~ /2ta4~~ cit
jto
wu/Ut.. ()twtfa
~ dI-;fa,~tvtd,-shd
~~ot it~.I/n.rm
UJIHA. .b~;,
ck ~ n-&olat. ha.aa~ ~ p~
i?U.f
..uu
tfU>k do~o.
(tk~k./~~) /H4-touo~ ~/JrlIl.6.atd
liu.,vau,.
rill A Y f) ElY e. a C -(2 " P IIY,h
6.10]Eiidt I ~s/~//,;..,~ ,...,...v~--d J cItd
ndt
- Vm: Vmc .!I mcuu. C7Z=vzc:;1d;WA~
i:vuue
&~~
h:)~
a4.
I"na.at-~
rit..l
~ ~ ~ ~ Vm dii- ~ .6ua~{lnlUfat /ttd
~
c:&~hj'~
h4.t:U (d~Ud
~ifu¥t
~) ~
..uu. _
uau,
V;n tM.;.I-td
~I ~acl.,1~hi
ku..·cvwz
tcJtndt
~ ~dk
Id-
'Wuol~
/;()-r
eb
~st
~"
N~
ht,
&
~
(7"" =omc
alI'
-fd~~ hu:.hu~
vm
U
~
v~ IJ~
'UrU-~
Fa-eap~.
~L~ ~l:t
ud
ttl ~·,tua~ ad_~JUtt
&
~aL ~ ~.
(~I'~
6).
{dc ~4. ou,,' ~[1.31n-u ~ ~lvz.Wt¥
h
J1./UU.~ cre/u;mlM/ J
oLd
Pv ~ lnrY1uur- bes/t:ULt ~~
()U~~It ~J'p~
.(,.t.u.~
waawu
h--e
-k
~~ otuA tl-h tu;~.~tk
l~~:-!)it ~u
ata
~;. ptau-nI.Jt/yemaa.Lt
~ ~I'J3escko~ ~
t'--wa
I'VtltUJC
LLJ.t:UVJ.
~~k. ~~
itM.- /J tIA~
s
hi,
d~
wrndt
~
Wz,'ssa
tI.HU~
(PDt.
t::fttA.pJ
~
~
~
ak~_Ix~
cioo-1.
--ld
filE,
po~1z
'aaL(zie
APPENDIXtY)
[13-2JIflt;t
fJddj>
~tJau..iCUv
~ aau.~ ~MaoM
~
~
,.tw.u
ah;;~ nue,Uud·~.
lJe
. _
CiaM"Ju.~~~
.6Uti£t .
.tbnm~'~J
dat:
(r7HA 8 ~ . ~,Ie
tv7rUJ~ tJm..ak..
ah>-~ V~ ~aaA it-, lUi~.
De
W~ (jtut,.ck
&foluo~ Sf~h
UtA..1o~
.uv IiLft
ntbu a.tu-v~ ~
att4~k~
. &
'hu'sftLI
(Wis
i.er ).
7
Sclufui>aaA. h'
dvu
~dd
~
~
.t.bu~
JH/~
'.,UM..
kuu.-u.~~
tlfMA../.d
M-odd
Mru~
~
daC .ck
lotfa'
Sf
fM-t,~ ~Jcud
h
b1I-?t~ cbn~
~
t.d
hlrtHM.
S~~
tvvu:Xtu:"
P
~
w
cU'
-~h~
-7'
~
aIv~ ~ck::UMJO:
.IAA..Ok .. a:IohtbtA"
~
.(..tM,Maku:a.aL
~
()U.u.~h(2a.t
~'r~' lJ~ ~
~~
~pP.~
f.JtlM...
.:td
WUJdtL·4.
/4UUlacLtuv. . '/Je.z.du
W7f'U:::Lt ~t.u.~ fdactat
.6d7Jwtn,S ~trtJ-I.
. I/tnI>.
~·s ~
~
kp~
h.
N&
LP.13~/[)CrIiAA/
t:
I~PdS/Jnoeu.d
de, 7trt.E~ah
~
J11"O~
h.
j;~~ ~
-t.a;r
~
~
f/-1A.-o!u~C
1, p&16V.)
~cM' haA4 ~fuM.~
Iw.d.Iu.
lvxs
J~
th.f
hi
ffl.~
-JtAMj
VOfAA,.cU
iJru.1:.
u,i. t;~ ()/.t ~wdkJu-oM
i..~
_-tb;-lu.v
cU
~tddG
~a-u-hiuj
(.2')
JAA,cit..
mau';naLG
~~(Zz)
rk
rmut
~~
~
Of::'It~.
Om