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S | Z 1 ?`P    R*   | Z 1 ?`    T*  H | 0޽h ? ̙3380___PPT10.p9  $@( PWP $ $ 0  P     @*  $ 0       B*  $ 6e  `P    @*  $ 6h'  `    B* H $ 0޽h ? ̙3380___PPT10._$ 0 xM(  xl x C DA,TUOM_4COL_cropped_300 x s *N C"?' ,$D 0 %sTensile Properties of Fibres & Yarns (A) Terminology Definition of Quantities Example Methods Typical Resultsz)00J1)fIs  x 0PW : fTextile Testing MA Wilding08P2 P x s *޽h ?"` 33___PPT10r.Go+?;dD' < = @B D' = @BA?%,( < +O%,( < +D' =%(%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*x%(D' =-g6B fade*<3<*xD' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*x)%(D' =-g6B fade*<3<*x)D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*x*8%(D' =-g6B fade*<3<*x*8D' =%(pD8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*x8R%(D' =-g6B fade*<3<*x8RD' =%(@D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*xRc%(D' =-g6B fade*<3<*xRcD' =%('D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*xct%(D' =-g6B fade*<3<*xct+8+0+x0 +$ 0  (  l  C DA,TUOM_4COL_cropped_300   ` 1?  fSuggested Reading Material0ff  N` 1? ,$@ 0 & JE Booth "Principles of Textile Testing (1983) Chapter 8 BP Saville  Physical Testing of Textiles (1999) Chapters 4 & 5 120 150)  &.A'    ` 1? 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'.469<=>?@@@?>=|<w9t7o5l.f'a `_`aflotw|rke_[UQMIGEA@>==;;;;==>?ABF J OTW[^chnt{ }|{zytnjfc`^]]]^_adglr~wpid]WRMHC@>;98889};t>l@dC]HWMQQLWH]DcAi?p=w;~;;=?AEHMReeffghilmszzupmjd_^]^|_vcphnlkpitgyf~fee&,38=BEGJLzMrNiN]NSLIJ?F6B.=&6/'   &z.t6o?jJgTe`bkbubcfhkpuzzric]WSMID?<8643100013468 <?DGL R#V%\&b'h'q&y%! @`@`@`@`@`@`@`@`m ), BDCDEFool}ytnic]WQF<3+" vnf _XSM!H'E.A5?<=D<L<U<]=e?mAtE{INT[bjs|-./37=CJQUZ^behjlpn{lsilefac[_U^N]G^B_<c7g3m0t.{.pDD@`@`@`@` Z *, *BCDEhFt1&X&MZZE6#@@,oV@@?j:#78@`@`  D * +, BfCDEF55[::#VJ:f:_[C[43211123459;@BFIOHB<50*$  [[lp@`  F  ,, B:CDE$F6  ,,,,,,.059?ELRV[_dgkn|xrmgc]WRLD<4-&  |u ng`X!P)J3D<AF=R<];d;k<r=x@}CGJOSY_fmt|vvvvvuxtprjnejad^^]W[P]K^Ea?f9l6r3|0v@@VOJ FB?"<);1;:<D?JBQHWN[V\^]g]m\t[|XE+.~/w0q0n0i/f,c+a(_$]![[]^ `chnty}@ }{ywvvvwz|~umc[UNHC@=;;;<?BFJPW : }unhb_^]^birx~@`@`@`@`@` F  -, BkCDEFssnn{tlc[SKD=6/)$ ~vld\TL D =6/*#!'.4; @ FMT[bjr|  &-4;CLD=62-*{)r'k'd)]*W,R/L3F6B;=@9E7L5R3Z1b0j0s0~13579=BFLRW]dkrys*C(C(Z-S1L6H:D?BDAH@N@U@]BdDkH]nWjShMgHgDg@h<i8k6o3r1x/~..-++****_`@`@`q ?  ., BC$DEFqq(,,((?,?,X??WQLGB?=<<<=?ADHLQW^emu~$X$X?zvrnke`_^_`djmquz~@`@`@`@`Hr   /, BkCDEFttmm|umc[SKD=70*$ }uld\TL C =6/)""(.4; A GNT[bjr}  &,3:BLC=61,)|(r'l'e(^)X+R/L2G6B:=?:E8L5Q3Y2a1i1s1}2358:=BGLRX^elryt+B(B(Y-R2L6G;C?AD@I?N?U?]AdCkG]mXiSgMfIfDfAg<h9k6n4r2w/}..-,,++++_`@`@`   0, BC$DEFqq(++((?+?+W??WRLGC?=<<<=?BDILRW^emu$W$W?zwrokea`^`adjmquz@`@`@`@` )  1, zBJCDEF'/'/]]//(((??FFSLMPIVE]Bc?h=o<v<~<=?BDILRX]dlt~~wpjc\UNHDDFFGGHIJMNU\dmtzzuqmjdz`s^k]c^\`VcPiNlLpJtHxG~GFF ??V OIDA>#=(<-<4<<>CAJD<j7g2d,c(c#c dehkotz ~        MP@`@`@`@`@`@`L q N  2, BCDEFjjl~ytoic]XQF<3+# zrj c\VP!L'H.E5B<@D?L?U?]@eBmEtH{MQW^emv-./37=CJQUZ^behjlpo~lvioejaf[cUaN`GaBc<f7k3p0w.~.p@`@`@`t N  3, BCDE(F2 SS6l[S@` ` L  4, lB(CDEF,6/)$  %*16=DLSZ`fkpux "'-38?s}qponmkkkjd_YSLE>82+%  |unic ^ZURQ O$N)L-K2J6H<GDFKEQDWB[@`?c>g=g8g3f.c+a'^%Y"R!J!D!@";$8&4(2,.0,6gZb[\\U^LaDb=d9e5h2k.n-s,x,|./36;@DJPU[_bd|fxgtgpgigbgZ  !(.+( '''(),/38>BFLSZbku@`@`@`\ N  5, ZBCDEFAAkkTkNkHkCj>j;i7i4g1f.d+b(_&\$W"T!O!K!E"@%<'7+4/14/8.;.>-C-G,L,R,W,^,((.4: AHOW_fmtz  %+18B@` E L P , s *޽h ?"` 33___PPT10g.Go+q D' < = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(Db' =K@BB BBPB0B%(/%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =-g6B fade*<3<*,D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =-g6B fade*<3<*,+8+0+,0 +v$" 0 \\4I(  4l 4 C DA,TUOM_4COL_cropped_300 4  ` 1? M  O 20 % 4# "%,$D 0T 4 c $X99?%< 4 #  " B 4 3   B 4 3 ; t B  4 3  B  4 3 ! [ B  4 3   B  4 3  A B  4 3 {   4 BTCDE(F2 T HH= T THT @`  B 4 3    B 4 3  ( B 4 3 e ( B 4 3  +( B 4 3 ~ ( B 4 3   E( B 4 3   ( B 4 3 %  _ (  4 BSCDE(F2 SS    @`  ( B 4 3  " < 4 #  z B 4 3  u & B 4 3 ` u B 4 3  u B 4 3 F u  4 BZCDE(F2 Z NNC Z ZNZ @` u B 4 3  z B  4 3  B !4 3  9 s B "4 3  B #4 3  P B $4 3  B %4 3 0 j  &4 BCDE(F2     @` B '4 3  ` B (4 3  '  )4 BC~DE(F2 ~~  @` u B *4 3   B +4 3    ,4 BCEDEF"#EE#@`  B -4 3 |w p B .4 3 |w p B /4 3 - B 04 3 -  14 ZB~C~DEF!!>KXb ksy&}2~?}KyXsbklbtXyK}>~2}&ytl bXK?2&  &2>DH@`   24 B~C~DEF%%>>KXb ksy&}2~?~?}KyXsbklbtXyK}>~>~2}&ytl bXK??2&  &2>KL@  B 34 3 [  B 44 3 [  B 54 3 y t B 64 3 y t  74 ZB~C~DEF!!>KXb ksy&|2~>|KyXsbkkbsXyK}>~2}&ysk bXK>2&  &2>DH@`   84 B~C~DEF%%>>KXb ksy&|2~>~>|KyXsbkkbsXyK}>~>~2}&ysk bXK>>2&  &2>KL@   94 ZB~C~DEF!!>KXb ksy&}2~>}KyXsbkkbsXyK}>~2}&ysk bXK>2&  &2>DH@`   :4 B~C~DEF%%>>KXb ksy&}2~>~>}KyXsbkkbsXyK}>~>~2}&ysk bXK>>2&  &2>KL@   ;4 ZB}C}DEF!!>KWb ksy&|1}>|JyWsbkkbsWyK|>}1|&ysk bWJ>1&  &1>DH@`   <4 B}C}DEF%%>>KWb ksy&|1}>}>|JyWsbkkbsWyK|>}>}1|&ysk bWJ>>1&  &1>KL@    =4 d B&CDEF@@KD&& &t&KA  <952.+&" |ung`XPJDA><; ;<>@#C)G.J3O8S;Y=_@fBmCtD|DDCBAxpjea ^][]^afls|v@@VOJFB?<;;<?BHNV^gmt|~wqnifda_][[]^`dhnty}Sv@<>BEJNT[bipuz~~{wrkaYQJD?;82-+{)q+h-_2W7P=KCGJCQ@Y?b<k;t;|;<>?@BFHNV^gnifda^z[tZmZfZb[]^Z_VaUeSgSjSmUoVsZu\vbxi{s}{{skcZRJC<60+&!&))@@@@`@`@`@`@`@`@`G T  >4 BmCDEFfZPF< 3+# '/ 7AJT^hpx  &-4;CKU_hqz|tkbXMGB=73-($ ~yupjfE>~8z2w,q)k%e$^#X#Q%K'E,?1;66=3E0M.U-^-f.n/u3{6<BIPX`gm}rwvqyj{c~\UME  %,29AKT[b gkl#m,m2l9kAiLU(<L>C?<@6@3@.?+=)<&8$5"1 - '""#%)- 39>BEIMSY`gRT@`@`@` q 6 ?4 B"CDEPFh0`7zqi`ZSMHE A?>(>1>9?AAHCOFVI\NbSfXk^ndrksruyvvvusplhb\UNF>5,! JH|GuDo@j;f5c/b(`!`cej nt{ !)07<?CEGHJJrmic^ZVRNKHECA@?>>>?@AD FHLS!Z#b$k$n$s$v#{#}"!!~zvsoliecb_^^^_bcfjmrztmgc]XTOLHFDA@???@BEHxLoPfV^\WcPhKpFwC@>>>?AEHMSZklmpty~xqkeb`_`e~lwuu{ronmlkk^~|zxusoke_}X|RyKyCy<{5}.("   "(/6 ="EG?82.*'&%%&(+/48=AFIMPUZ_dgknruy{    {qjfdb`_^^^^14@`@`@`@`@`@`@`@`gr x  @4 B]CDE(F4 0]T('(0"@O@-"@@`@`|t   A4 BCDEF//112458:<@CHOTZ_bdgikmopqkf`ZSMHA;5/+&"  w p h a Y R KE>71,&! %)-2 6 ;AEJPTYaiqx ~!~yuoic\UOG>6/)" 5c5l8s:z=BHMSY_djo|suwpzh}`WOG?~7|1w,r&m"g!a [!U"Q&K+G/B6=>:G8O6V5]5c[\@`@`  B4 vBCDEF"@M@HUPOWJ_EfBm>t<{;;<>BHMU]gls{j}~wqnif~c}az_v\s[n[h\d]^`XcRhNnIsFyE}DB@?>;:,"@ojf`[WSOKHEB@> =<;";*;1<8==>CAHCLEQIXP]W__`h`k`p`s_x_z^~]]ZYXVURQQPOOOOPQS(&%$$ "(~+}/}2{3w4s5p5l5i4f2b0`,_(\#[[[\_ `cgjo,*(%"  !#%()+,uu@`@`@`@` t   C4 BEC6DEF""6E6E6"6@`i   D4 BC7DEF&7:7&:7@`l 0  E4 rB:C*DEF*: @`l0 D  F4 BC7DEF"&7:@` 0  G4 B7CDEF&7;&&@` o  H4 rB)C:DEF):)): @`   I4 B7CDEF"$:&7$@` >  J4 B1CEDEF"1"1E1E1"@`, D  K4 B7CDEF&77&;7@`o i  L4 rB*C:DEF:*: @`i }  M4 B7CDEF"&7:@` i> B N4 3  # \ B O4 3  B P4 3  B B Q4 3 z  B R4 3 z@ y B S4 3 z  Z T4 *BCDEhFt0&W&MYYE6"??+nV???i9"78@`@` 7 * U4 BeCDEF55[::"UJ:e:^[C[43100013458;?BEHNGB<5/)$ [[lp@` : J  V4  BCDEF77,,,,,,.15:@ELRW[`dhko}xrnhc^XRLD<4-&! {t mf_W"O*I3D<@G=R;^:d:k;r=x?~BFINRX^els{wwwwwvwuorjodj`d]_\X[Q\K]E`@e:k6r3{1w??UNIEA>#;):2:;;D>KARGXM[U\]]f]l\s[{YE,.}/v0p0m0h/e-c,`(^%\![[\] _cgmsy|?kzpg^VOJFB?>;:::;=>?AEGMU]fmhec`][YYY[]^`dfjlnrtuwz|~  |yvrpmkTx(K(TF?s?P#F?ux@`@`@`@`@`@` 7    W4 BCDEFzfzZ{P~G<3+#  !&"-#4&;'C'K'V&_#h qz ~~|y{uzpzjzfE?82,)%$##%',16=EMV^fnu|}wqjc\VME[  #,29ALLC<63.+)&$"!!"#%)-39~?}B|E{IyMxSvYt`sge8[ZfZZ\P^G`<d3h+n#t{  !&-4;CKV_hqz~vohda_^~]y\uZpZjZfE?82,)%$##%',16=EMV^fnu|}wqjc\VME8a[%agmt y+*))))y+r-m1g5b;^AZHYLWQVVS[RaPhOoLwB80,m,y,,,--.0357;>CGLRX]dkrz  }zuqke_YP7NT[_eimqtz~ytplie`[VTSS{RrRWR7Y\@`@`@`@`@`@`@`@` T ]  X4 B^CDE(F4 1^T('(1#?P?-#?@`@`: i ]  Y4 BC$DEF,.25:>DKRY`fjnpqqqponkgb[QIA:4/+)"zqh^"V'O-K3F:CA?I>R<[;d;l;s<z=>?AEGMU]fmi}eycvap]j[dZ]ZWZR[M]J^FaEdCfCjClEnFrJtLuRxYzc|kryyrkc[SJB:3,&  ??PKFC@ >'<-;4;:;@<F=K?QCUEYH]MaRdWh]jckklrmzmmljfc^YSMF?81+" $$?  %+/47;<>?@@BBBBy?r=k:e5a/])\"[\]a dipv||@`@`@`@`d P| L  Z4  BZCDE`Fn>3/*$  $)- 2 8=CIPW_gnuz #-058=?BGLSX`hov|dcbaa[UPJD=61,&" }wsmhd _ [WTQN$L+J3H;HDGLFSEYE_DdBhAkAo@p;q8r5r1r.q*o'l$i#d!` [ U P!K#H$D(B+@/>3i]g]d^b^__W`ObIcBd=e9g5h3k/n-r+u+z+},.148;@DIMRW[^~`{bvdpfkhci]#lNsKzGD@<73.($ ~vog`YSMF@93.(#  %,17= B FKNRT!V'X+Y2Z8/=.6,0)+'(#$"!!"#'+07?HMQV[_cglsy~~zs#l48@`@`@`O ^ 4 [4 BCDEF,,,,,,.05:?ELRV[`dhko|xrmhc]WRLD<4-&  }un g`YQ!I)D3><:F7R6]5d5k6r7x9~=@DHMSX_fmu}w~w}w|w{wzurtjrdo^j[dW^VWUQVKWE[?_:e6l3u0~w~99MGB?;86!5(51687?9E=IAMFPLQSVM]GcBk>s:{76568;@FLT\`gpzozrkfd`^\YWV|UyUqViYb_[gXkVnTsQyO~NLK:"{#s%l&g&d&b%^#\"Y WVUUUV XY\_cfjntz}9k !%*/37:>fb_\XUPKGA<72,'! }ung`YQID> :7!6,535:6A7G9M=R@XD]HaMeSgXi_lfmmnun}nmlkF~F}F|F{FzErCjAd>^9[3W.V'U VW[_ elu~F~99OHD?;8655 68;!A&G*O+W,`,f+m*u'wpkgc_][XVUUVWY]bgmsvz}}9K[R9h9n99[[~}|||}~zuojfa^ZXSPONNNOOPQRSa[K[pt@`@`@`@`@`@`@` ^  \4 0d7 { lThe Basics of a Tensile Test48P2 ffP 4 s *޽h ?"` 33]U___PPT105.Go+,D ' < = @B D' = @BA?%,( < +O%,( < +D' =%(%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D' =-g6B fade*<3<*4+o$# 0 OG<(  <l < C DA,TUOM_4COL_cropped_300 <  ` 1? M  O 20 < 0 jGu,$ 0 The  Inputs &  Outputs of a Test (useful to think of test as a  black box )BO0P2$f*  < s * L ,$D  0 ~4Extension/Displacement/Elongation Units: mm, cm, etc.5`" < s *P   ,$D  0 `Strain (normalised extension) Extension divided by original length Units: NONE (but often use %)^a`% O < Z 1?,$ 0 JExample Inputs ... 2fP < s *޽h ?"` 33___PPT10.Go+2D'  = @B DO' = @BA?%,( < +O%,( < +D' =%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =-g6B fade*<3<*<D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =-g6B fade*<3<*<D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*<D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*<D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*<D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*<++0+<0 ++0+<0 ++0+<0 ++0+<0 + $( 0 Pd#(  dl d C DA,TUOM_4COL_cropped_300 d  ` 1? M  O 20Z d 0# jGu The  Inputs &  Outputs of a Test (useful to think of test as a  black box )BO0P2$f*` d s *0 L ,$D  0 VForce ( Load ) - eg Tension SI Unit: newton>,` f% d s *   ,$D  0 '{Stress (normalised load) Conventional (eg newton m-2) - used in engineering Specific (eg newton tex-1) - used for textilesJ|`   7  7> *  d Z 1?,$ 0 KExample Outputs ... 2fP d s *޽h ?"` 33___PPT10 .Go+>D '  = @B D ' = @BA?%,( < +O%,( < +D' =%(%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*d%(D' =-g6B fade*<3<*dD{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*d%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*dD' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*dD{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*d%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*dD' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*d++0+d0 ++0+d0 ++0+d0 +I.$$ 0 1 ) D (  D D  `,eJ 1? M  O 20X D 0A?<R D 0A?,$D 0X D 0A?} D 0A?<] ,$@  0 D 0A?] 6,$D  0 D <A ??T@8 $@ 0 D 0A?) ,$D  0 D 0A?/,$D 0 D 08mJ jJwC,$D 0 Does Tension-1 = Tension-2?0( 2 7 7 h D s * J C"?6,$D  0 :Yes & but the stresses differH0( 2( % D ZJ 1?m\,$D  0 g Higher stress"0f  $ D ZJ 1?mu\,$D  0 f Lower stress" 0 f  P D s *޽h ?"` 33""___PPT10".Go+*}mHD!' J = @B DG!' = @BA?%,( < +O%,( < +D' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*DD' =+4 8?dCB0-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*DD' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*DD' =+4 8?dCB0-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*DDy' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-g6B fade*<3<*DD' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*DD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*DD ' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*DD' =+4 8?dCB0-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*DD' =%(D3' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-o6Bdissolve*<3<*DD' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-g6B fade*<3<*DD ' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-o6Bdissolve*<3<*DD' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-g6B fade*<3<*DD' =%( D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-g6B fade*<3<*D++0+D0 ++0+D0 ++0+D0 ++0+D0 +$% 0 Lp(  Ll L C DA,TUOM_4COL_cropped_300 L  `J 1? M  O 20 L 0J PP ^Tensile Tests 48P2 $f$ L s *HJ 00,$D  0 Inputs & outputs can be interchanged & depending on the type of testbE` { L s *NJ  0 ,$D  0 aThey are not material properties But the outputs are determined from the inputs by the propertiespb` /P L s *޽h ?"` 33  ___PPT10 .Go+nwD ' J = @B D ' = @BA?%,( < +O%,( < +D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*LD' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*LD{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*LD' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*L+p+0+L0 ++0+L0 +V $& 0 lTY(  Tl T C DA,TUOM_4COL_cropped_300 T  `@J 1? M  O 20 T 0(J ,$ 0 ( Load-Elongation & Stress-Strain Curves B)0P2f&f  lT HA 1?_,$D 0P T s *޽h ?"` 33-%___PPT10.Go+ҫD' < = @B D\' = @BA?%,( < +O%,( < +D' =%(%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*T%(D' =-g6B fade*<3<*TD' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*lT%(D' =-g6B fade*<3<*lT+8+0+T0 +5$$) 0 3+ (  l  C DA,TUOM_4COL_cropped_300   `TyJ 1? M  O 20>  Z`J 1? 9,$ 0 6Properties from Load/Elongation & Stress/strain Curves.7 26ff  s *J pL ~,$D 0 T$ Strength - breaking load (N, cN & ) Tenacity - breaking stress (cN/tex & ) Initial Modulus - slope at origin (cN/tex & ) Extensibility - breaking strain (%, say) Yield  Point - limit of elasticity Work of Rupture (WOR) - energy to break Specific WOR - WOR per unit mass  f   f b  !  (   P  s *޽h ?"` 33___PPT10.Go+D' < = @B D' = @BA?%,( < +O%,( < +D8' =%(%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-g6B fade*<3<*$D' =%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$K%(D' =-g6B fade*<3<*$KD' =%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Ky%(D' =-g6B fade*<3<*KyD' =%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*y%(D' =-g6B fade*<3<*yD' =%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*+p+0+0 ++0+0 +j $* 0   m(   l   C DA,TUOM_4COL_cropped_300    `J 1? M  O 20.   ZJ 1?,$ 0 p&Two Different Types of Tensile Modulus.' 2&ff   HA 1?zT2,$D 0P   s *޽h ?"` 33-%___PPT10.Go+_D' < = @B D\' = @BA?%,( < +O%,( < +D' =%(%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-g6B fade*<3<* D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-g6B fade*<3<* +8+0+ 0 +$+ 0  (  l  C DA,TUOM_4COL_cropped_300   `L 1? M  O 20}  s *L @dL,$D 0 MThere is a wide range of property values across the entire spectrum of fibresrN f7 & N   0(L 7.,$ 0 jTensile Properties of Fibres20P2 ffq  s *L d ,$D 0 QThe order of ranking of different fibres depends on the property being consideredbRf* R P  s *޽h ?"` 33  ___PPT10r .Go+[D ' < = @B DY ' = @BA?%,( < +O%,( < +D' =%(%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*++0+0 ++0+0 ++0+0 +E $, 0 0 aH(  l  C DA,TUOM_4COL_cropped_300   `,I 1? M  O 20   0d"I ,$ 0 u'Examples of Fibre Stress-Strain Curves 2(0P2&f a HA 1?>k,$D 0P  s *޽h ?"` 33-%___PPT10.Go+>&=D' < = @B D\' = @BA?%,( < +O%,( < +D' =%(%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*a%(D' =-g6B fade*<3<*a+8+0+0 ++$- 0 |P $ (  $l $ C DA,TUOM_4COL_cropped_300 $  `zI 1? M  O 20 $ 0 # 7,$ 0 m!Which Property is Most Important?0"0P2!ff $ s *H* C"?"d,$D 0 ? Yarn for a conveyor belt - initial modulus Neck of a sweater - yield strain Webbing for a car seat-belt; climbing rope - work of rupture Rope (hoist) - strength (or tenacity)V,77+77  9 $ H(; vyd @C"?7,$ 0 mIt depends on the application4`: $  `? 1?7T 2,$ 0 vSome examples &  0 P $ s *޽h ?"` 33""___PPT10".Go+ ;{D!' < = @B Da!' = @BA?%,( < +O%,( < +D' =%(%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-g6B fade*<3<*$D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-g6B fade*<3<*$D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-g6B fade*<3<*$D' =%(pD8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-g6B fade*<3<*$D' =%(@D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-g6B fade*<3<*$D' =%('D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$.%(D' =-g6B fade*<3<*$.D' =%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$.A%(D' =-g6B fade*<3<*$.AD' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$AR%(D' =-g6B fade*<3<*$ARD' =%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$R~%(D' =-g6B fade*<3<*$R~D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$~%(D' =-g6B fade*<3<*$~D' =%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-g6B fade*<3<*$D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-g6B fade*<3<*$++0+$0 ++0+$0 ++0+$0 ++0+$0 +v $. 0 p p,y(  ,l , C DA,TUOM_4COL_cropped_300 ,  `+B#style.visibility<*,%(D' =-g6B fade*<3<*,D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*p,%(D' =-g6B fade*<3<*p,+8+0+,0 +p $2 0   L7(  Ll L C DA,TUOM_4COL_cropped_300 L  `Ha 1? M  O 20 L Z f 1?7@) |Comparison of Different Fibres. 2ff  R L s *X99?]LN<  p  L# "G,$D 0T  L c $X99? pB  L 3 A  rP L s *޽h ?"` 33]U___PPT105.Go+CLD ' < = @B D' = @BA?%,( < +O%,( < +D' =%(%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<* L%(D' =-g6B fade*<3<* L+$3 0   T(  Tl T C DA,TUOM_4COL_cropped_300 T  `n 1? M  O 20 T Z,y 1?7@) |Comparison of Different Fibres. 2ff  L T c $X99?]LN T HA1?f,$D 0P T s *޽h ?"` 33]U___PPT105.Go+D ' < = @B D' = @BA?%,( < +O%,( < +D' =%(%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*T%(D' =-g6B fade*<3<*T+$4 0  0 Y\(  \l \ C DA,TUOM_4COL_cropped_300 \  `j 1? M  O 20 \ Z 1?7@) |Comparison of Different Fibres. 2ff  L \ c $X99?]LN Y\ HA1?,$D 0P \ s *޽h ?"` 33]U___PPT105.Go+?D ' < = @B D' = @BA?%,( < +O%,( < +D' =%(%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*Y\%(D' =-g6B fade*<3<*Y\+$5 0  P d(  dl d C DA,TUOM_4COL_cropped_300 d  `x 1? 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