FWSa x _     C3ff  $1$d7$xRinzAQS8p3OFsfeP3Xb3.   $1$lM$fc.3viusp6klcTS5yT9.J1 ?   X 	 dTotalBytes this getBytesTotal dLoadedBytes getBytesLoaded percentLoaded Math floor %  HowMuchLoaded   i            R          R    d        R  G ?             HowMuchLoaded = ?!   r!L 3 RL6.xmp\	{d6HԮ֍98]W`H!Xn{SλaNEj֓.Wh׾bFwk[ 4aF$B+CrOik@KEl#{Kkk,.nnT))B.vd6[i6	S.wd,H)q7\) d\*\kά|hBkA6tNC&Ȏ>Is"@%7$>TZ [/8d7Cus%G':П@ X)
 G`` y@'	 8~$ rPWJO}>=e4xI@2H X=4.Q}3р^s':˥@եrx?a. $R2?)N	WtcHAc2=*	/sJXK_ӵ    ?H    Verdana= | ~   <M\kf1F_4S$	4		
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/l5Q,h8D9Wv 5d{xI>V5gj宒mn#䙻R  VEI|S03	3]CCJ&~$rsbf.`^ 5beF/f`q.w\w #g #Gy7(yE%M@Y n~,YpBH 5Cmݽp!|7'BP
w8/P 5Iy/<F*q 5M࠷n@ 5HybnQwg 5jBfG _{*n	mfla	@1y勞- |Fa\Rwcu 	te+)DRYs L lw)O JӆǗ.hKW  5baJn5HmEM~N0 5jf G?qm"v;un6afCCE+ƪJf
,B- 4Cn̋:0 I̔v  5i l;%#.s8|k].PX3c׀ofݮh)*O	 4 (wI/}ozkgE/	3\].	$%Bak[w_ej1IT(R/ 5LἸvd>*졸mvQ[NO 5jx*=ikUkpd#+*fL2Z (ZKdrM؂V`?)arv%+RM mD/u( /[(˾׽{j6ۇU.r!-p 5gnf /(RTUW@6JRҩ:e& 	RsZG-͔)r5Ot6ٷ6E3 OL-hg1B-Tuз]>;mRIk]A(i@>QDXi|EYĠ-&۔eGz 5jZy*W7rI@ 5gbekq]Bnpȡ))kN?[ϔVZrk}LWdS)& c?V?& .8uwYJP՘UGç.*@"LP9K N s'+y )RxZo-Bi@\ݶ]ۤhCn{dK 5fӮǝvp#&nԽ I(bH[	"F6auO] ezX٬0
t(͖wd=5qn۴֬~Ҧo\u);Pͱ imvZϛ@`KY{D8dPa9[Nbұt0 5IfybnQwgTR{]u 5ky,?ZμvȟP 5O=^zT+qn
DF2v%'ȝn5fuﶣBS#ZtZۓ{zq*RJU mL/$T\ (˩UC,ta-Hw Ҫ*K7 wherX-~vV]f8 5ix*W}సS-B۩  5gv!^'|z6!o 5O,☲N9}מn08U(U_n  5j6wrqݔ=ڽ|)|cqĨ]xX 5lyWF Z1⇵\2 5f݆ˀnS9 3 !=qҙ:t%*PyJR60h.lWmk6f4 sYLM0=4Ϛˀ)Ӏ)ll: g45gHiujԨ="xT5  LVc`9@2]% ؈ynP9hy2V#i. A 5hNf @&C$|#N@Y	K|7jxi
L&(0 M} _Mw߉ϻNVcQ 5wi; &	]{vQ-MEů6Xӗw >dpQ]fsi_ 5jw"crj7#E# 5kx]a&}a*  mnqL @M1	2H ;s W 5lyF䯎ߞ]g>oF7<Ò "p@  5dLxWn]wIZI-pB`6Vp!),eԕ3Ųkt]4ہo;W{~Bdl5fJNHI 5 	\c[! .A 5ig@yMRku90nܩmů
'*J[5 &g Zb=`
ـ-yؿ ,<A(δ 5hwSZiw4k\3\ lMZ 09TI ַvZnRͳAs[ bwu;ӷL  Xj:r׾A 5i{yXV3V4SX%-rRM4c?b Lp+)Y),Jr0C{Š*d\xnv:kkɷK  S%W5 5eDiȤPU0"yk@ \ѠFXf%=\O ..m|]rP 
*q/q˛$xܷv 5gs'5,I˴+zܽ'bfa7G	&Mf6o ڒ} 5i_k;}7l~Am#U{_"<󀻛ioB[ (~oS6RsZeaar|W*lt&`	O v[_5nɮ7
@5iZf35 j[w)7V~Lr\LDh۔YEaifVlle3P 5d>(;}$ʌw)|?qj 5e"(}$ʎ _6֐m?渽o֘Fa%h @.xg͉]n| 5Nl'(f7WYt7a;g 5d*{yXV/{n-@5heTd	[RgVyl b`~rtmN.s<k"Jǅ.;rtmMs|I(n;rs_mVUfV 5iZf35 j[w)7V~Lr\LDh۔[}+K6Jc`-5eI
	 .p+`P^P ' 5	 pХHRJǹYw^Ȁ4YMrdX ֿċp#Y1J'	rp&S 5ig@yzeYn'RZe& ]-v)|qkU7f &i :MJ28z Wrm˒@凒R(?֘N 5iW3JeJX	0g@.re+%%Q[aV؀ڠ{H+S%Hvk]] nMX 0,Rp 5gUzk]oou#¼nRn~eJWsVpڣߠB 5hQKc,,@b$F (qr^28D w0!+{mk@VR"ЍZ5Ft ڷrkk>ͽim`
ܩɼ(knա 5akMer,B2%JHR n1/z`	4nٺ<7Ŷ6P 5jQ/VW)-bMF6vX'E p%%	F~$sv᜷ 5j.tc4n~q ' 5lr<1ܠhn<z?.~'Ƀ/Ϡ 5Nn*re޹FKyK[gQ@ 5Ju@R{!O7-^!ְ 5hwPܗf7Qb\eǍp%  5j3|y.5h X=j<I*& >Ę`eُO X̻RTt*1o
򀭗1-pː@  '()+,-.0123456789:=ABFIKMNOPSTUWabcdefghijklmnopqrstuvwxyz  ^T--xrrx/cg@[^^<`cZ XT 3Xa;Sg XS9g Xmau  P$PnͷP X8T  XNX  X]T$  XFRT  X*V` XRR` XCT( XNR`  X2TX4R Xq%<  X}_ Xa`  X_[`  X_N`  X>>T`  X_b`  X_m`  X_``  X4ft  X_X`  X7Vt( XT`  XU]t` `  X+KXUSX,G6X-N X,OX83  X-Nj XUQ3  XP!  _)j XUU3  XU!S  XU}V  XUQ6  X,Rv	 XUSg X-Ng XU=4  X0G X7XQP< XQw<  Xz<  XT<  XQ<g X*GW<  XMQ| XZ@#U   	*    g2p0         percentLoaded 
  Y`@ ?    ?O             HowMuchLoaded =  dLoadedBytes   dTotalBytes H         PBL 	 ̒     XN!̀ 
 ̒     XM!  
 ̒     XN  
 ̒     P>L 	 ̒    	 X!Oa  
 ̒    
 XN 
 ̒ 	x   b    &@4 i @ @   &@4 pi @ @   &@4Ti @D@   &@4TMi @d@   &@4T}@i @@   &@4T@i @@   &@4T i @@   &@4Ui @@   &@4U<i @@   &@4Uli @,   &@4i @ @   &@4U@i @L  &@4pi @ @   &@4U i @p  &@4i @D@   &@4M i @  &@4Mi @d@   &@4i @  &@4}@i @@   &@4ni @ԓ  &@4@i @   &@4i @ @   &@4.i @  &@4 i @ȓ  &@4 i @$@   &@4i @  &@4i @  &@4$" i @D@   &@4i @8  &@4<i @  &@4$T i @h@   &@41i @X  &@4li @,  &@4$ i @@   &@44i @|  &@4@i @L  &@4$ i @@   &@47i @  &@4 i @p  &@4$ i @@   &@4
ji @  &@4 i @  &@4% i @   &@4>i @ @   &@4@i @  &@4i @  &@4%N i @  &@4>i @$@    @4R  &@4	ni @ԓ  &@4% i @<  &@4|&i @H@   &@4
.i @  &@4% i @\  &@4|[@i @l@   &@4
i @  &@4 i @  &@4|i @@   &@4i @8  &@48Xi @  &@4| i @@   &@4i @X  &@49 i @ē  &@4|@i @@   &@4i @|  &@49i @  &@4},i @ @   &@4i @  &@4:i @  &@4}a i @$   &@4i @ @   &@4,*i @  &@4;xi @0  &@4}i @H  &@4 i @$@   &@4XZ@i @  &@48q i @P  &@4}i @l  &@4D" i @D@    @4X
   &@48t i @t  &@4u@i @  &@4DT i @h@   &@48w@i @  &@4,i @  &@4D i @ 	  &@4i @ @   &@4pi @  &@4,i @ܓ  &@4D i @  &@4i @ @   &@4p i @ܒ  &@4,mi @   &@4< i @Г  &@4#i @@@    @4p  &@4,?i @$  &@4= i @  &@4#Gi @`@   &@4Y@i @H  &@4=N i @  &@4#u@i @@   &@4Yӈi @l  &@4= i @<  &@4#@i @@   &@4Yi @  &@4= i @\  &@4# i @@   &@4Yi @  &@4= i @  &@4#i @@   &@4YXi @ܒ  &@4>xXi @  &@4#,i @  
  &@4Bi @ @    @4Y  &@4>y i @ē  &@4#Zi @   &@4B i @$@   &@4>yi @  &@4#@i @@  &@4," i @D@   &@4>zi @  &@4#@i @`  &@4,T i @h@   &@4>{xi @0  &@4# i @  &@4, i @@   &@4| i @P  &@4GGi @  &@4, i @@   &@4| i @t  &@4Gi @  &@4,| i @@   &@4|@i @  &@4G	i @  &@4,} i @@   &@4|`i @  &@4G
mi @   &@4,}N i @@   &@4|݀i @ܒ  &@4G%i @   &@4,} i @<@    @4|  &@4Fi @@  &@4,} i @\@   &@4Fi @`  &@4,} i @@   &@4FKi @  &@4XXi @@   &@4Fi @  &@4X i @@   &@4Fi @  &@4Xi @@   &@4Fqi @  &@4Xi @@    @4F(  &@4Xxi @0@   &@4X@i @P@   &@4Xi @t@   &@4Xi @@   &@4Xi @@   &@4X`i @@    @4X(@ 	 i @	 i @̉	 i @Љ	 i @؉	 i @܉	 i @	 i @@ 	 i @	 i @	 i @	 i @	 i @	 i @	 i @@ 	 i @@	 i @`	 i @t	 i @	 i @	 i @	 i @@ 	 i @ 	 i @(	 i @D	 i @\	 i @l	 i @|	 i @@ 	 i @	 i @	 i @	 i @4	 i @H	 i @\	 i @h@ 	 i @	 i @	 i @	 i @	 i @$	 i @8	 i @L@ 	 i @@	 i @	 i @	 i @	 i @ 	 i @	 i @,@ 	 i @ 	 i @P	 i @	 i @	 i @܉	 i @	 i @@ 	 i @	 i @	 i @\	 i @	 i @	 i @؉	 i @@ 	 i @	 i @	 i @0	 i @h	 i @	 i @	 i @@ 	 i @@	 i @	 i @ 	 i @<	 i @l	 i @	 i @@ 	 i @ 	 i @x	 i @Љ	 i @	 i @H	 i @t	 i @@ 	 i @ 	 i @D	 i @	 i @	 i @$	 i @T	 i @x@ 	 i @ 	 i @	 i @t	 i @ĉ	 i @ 	 i @0	 i @\@ 	 i @ @	 i @ ؉	 i @D	 i @	 i @܉	 i @	 i @<@ 	 i @  	 i @ 	 i @	 i @p	 i @	 i @	 i @ @  	 i @ l	 i @ 	 i @H	 i @	 i @Љ	 i @ @ 	 i @ 4	 i @ 	 i @ 	 i @l	 i @	 i @@ 	 i @  	 i @ 	 i @ 	 i @H	 i @	 i @@  	 i @ \	 i @ ̉	 i @$	 i @l	 i @@ 	 i @ 0	 i @ 	 i @ 	 i @L	 i @@ 	 i @  	 i @ |	 i @ ܉	 i @(	 i @h@  	 i @ P	 i @ 	 i @	 i @L@ 	 i @ (	 i @ 	 i @ 	 i @,@ 	 i @  	 i @ l	 i @ ȉ	 i @@  	 i @ H	 i @ 	 i @ @ 	 i @ $	 i @ 	 i @ @ 	 i @  	 i @ d	 i @ @  	 i @ D	 i @ @ 	 i @  	 i @ x@ 	 i @  	 i @ \@  	 i @ <@ 	 i @  @ 	 i @  @     )@ HH  @ @ @ @ @ @ @ @ @ @ @ @ @ ?      @   
 ?  %] thetaRad thetaDegrees cosTheta Math cos sinTheta sin rotatedX localX localY rotatedY sigmaXdisplay =  sigmaX formatDecimals sigmaYdisplay sigmaY tauXYdisplay tauXY thetaDisplay theta  deltaSigma radius tauxy sqrt center sigma1 sigma2 cos2Theta sin2Theta sigmaN sin2theta sigmaT tauNT cos2theta thetaPrincipalRadians atan2 thetaPrincipal thetaMaxShearRadians thetaMaxShear index AlphaValue rotated_element NormalStressN NormalStressT ShearStress RotationAngle SelectedStressElement gotoAndPlay commaFormatted neo . inputString split neoLen length neoStart charAt - neoLenR noCommas floor FirstBunch substring withCommas SecondBunch , ThirdBunch neolen FourthBunch num isNaN digits cropped round CF tenToPower pow indexOf .0 halves zerosNeeded i 0 toScientific exponent abs log mantissa sigDigs output e 4 Rotation_X_Component  localX localY thetaDegrees x   	 !	@-DT    <       R<       R<    	G< >4 Rotation_Y_Component  localX localY thetaDegrees    	 !	@-DT    <       R<       R< 
           	G< 
> StressCalcs   y         RG         RG         RG         RG G G  	 !	@-DT              G     R  G      G  	          R	          R   G   G	 !     "            #G $  ?          %R &$    	 !	@-DT '  ?                  %R ('    	 !	@-DT, SetupTheRotatedElement  index AlphaValue  ))J **J	 +  @*# )	         I G  + ,O + -O + .        O + /&O  )    I A  + ,O + -O + .O + /(O   )    I A  + ,O + -!O + ."O + /O c  )    I N  + ,        O + -        O + .        O + /O + 0)O       + 1R >  2   inputString  34   5 6R< 73	         N 8N< 9        <            3	         N :R ;I   9   < <7 9 =<         >R< <    ?	         I   ==     =	         IL   = I >  ?7            3	         N @R< A?<  =    I   B7	          7        3	         N @R< ?7                3	         N @R< A? CG BG< 7 =    I   D7	          7        3	         N @R< B7     7        3	         N @R< ?E                3	         N @R< A? CG BG CG DG< ? =    I * F7	          7        3	         N @R< D7     7        3	         N @R< B7     7 	       3	         N @R< ?E 	               3	         N @R< A? CG BG CG DG CG FG<         3    N 8NH   AA 4G 3    NG A>O     num digits  G    H=  	         J> _         IH <  JG     KRK< LJ     2R< L> MI 
       NR< JG M     KR MK<	 4   J OR I   JJ PG Q4   J 6R< RI Q    N 8N< S   < R SH   JJ TG SSP  LJ     2R< L>O  U   num sigDigs . GGJ G    H=   G> VG     WR     XR	 k@U     >R< G	         I   V         MV 
       NR< YG M< YZ     Y     R [Y< V	         I   [[ \VGG [>O ?G  }  sigmaX sigmaY tauXY theta StressCalcs given _alpha gotoAndPlay thetaPlaneSurface initial_geometry rotated_element _visible   (      #            =    O  O  O  d   O        R  d   O	 	    R 
  O 
   start      G  3ff%
  	$     ?       @ @ ?    @    =    mBUN	     \ڳ'2 *0 ̳66̋%W<I ?n    n b         /e*zvf~
eW0"ź6
j* (
?s,T/%N>      % ^#     P 	   B 	+          @ J7Ԁ@ ?    @    =    mB     ?f¡˙+P	#QFnf $` eTdw/  ?n    nӳ           ef.ڎ~eYW!z*+* h`V?,T0OT>      %cބ8 	+          @ J7Ԁ@ ?    @    &    h -}    % u1± %@  N    ]C 	>  333ˮ] fff  w=(qЇ7yW`#      _t_  <   %n y#      Ulo <   %VsmNp 	$     ?       @ @ ?    @   	/     ?           @ @ ?    @   	9     ?           330         330 @        _t  < f$yyO	`     ?        @   o, kZ8@   Z8J   #]@ @ ?    @        <  HQ|B 5gv!^'|z6!o 5hNf @&C$|#N@Y	K|7jxi
L&(0 M} _Mw߉ϻNVcQ 5wi; &	]{vQ-MEů6Xӗw >dpQ]fsi_ 5dLxWn]wIZI-pB`6Vp!),eԕ3Ųkt]4ہo;W{~Bdl5fJNHI 5 	\c[! .A 5eDiȤPU0"yk@ \ѠFXf%=\O ..m|]rP 
*q/q˛$xܷv 5d*{yXV/{n-@5iZf35 j[w)7V~Lr\LDh۔[}+K6Jc`-5ig@yzeYn'RZe& ]-v)|qkU7f &i :MJ28z Wrm˒@凒R(?֘N 5gUzk]oou#¼nRn~eJWsVpڣߠB 5hQKc,,@b$F (qr^28D w0!+{mk@VR"ЍZ5Ft ڷrkk>ͽim`
ܩɼ(knա 5akMer,B2%JHR n1/z`	4nٺ<7Ŷ6P 5jQ/VW)-bMF6vX'E p%%	F~$sv᜷ 5j.tc4n~q '     verdana ISaelnprstuv    P( 	      ʰ 	'      ?      @ @ ?    @      ! P
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]fS[|cq5̡&[A 5Ŷa1qL	  .t$Γa-&p͂5^54yi\MpG0(ٓgL̚2 E qZFpLN	5f+9; p@h 5=uŶa1qL	  .t$Γa-&p͂5^54yi\MpG0(ٓgL̚2 E qZFpLN	5f+9; p@h 5%Ŏ~gCqj>\d00@	3sKI#3`WMd56tyt\ QJ1q0vdř< &L 72 a+V}8  !BMo 
rmo즿 8< 5irfL'i $
wS8$[@`3^^e&ؾԓfTv VaT"F@>Giwa1qL	  .t$Γa-&p͂5^54yi\MpG0(ٓgL̚2 E qZFpLN	5f+9; p@h 5h]v'vgXZ0 0:L:g#V X`sMͧ6E s R\L1p]1fz4<ɠ(   K͙M V8-lp#8&B'L3x-8߿Mc4xx 5jw[ۍroI7ɛܓoIڒkp 5i6֎$D.VlnE\r .& Ǘ|vYl=e9i\	&``G:KMΠi]نҀf \I'LZLjlyYɶby6nw-ܶ R\L1p]1fz4<ɠ[`9I[Hi̇5ŶaZ1 {.Ke43f	^ Mt,.Kbwc U{|.G(dJY
b"@&*]O rWw 53uŶaZ1 {.Ke43f	^ Mt,.Kbwc U{|.G(dJY
b"@&*]O rWw 5Y%Ŏ~gCqjVp (˹M4قW] fv3u˒د4|2(Q!3B+P	Jy{&ܢ-15hB]v'vgXZ-
=ǲyaDSM#6`@r+7v0_JrFL䥐!*b-@Jn^	(`%p{`K͙M  5uŶa:1hTm*l7q2&ug 5he.@.ު]ʱYD ؝PNэ=>>0XDZU&*c;
X}Mƙ@\Ltqm 5geAHLcpYfH 7=vkELdMmBʔ29ȔC(| -L[6^ͬsq _{^g[\R=˴T2B*آ弒J )kxʳ. LrV (V 5eƺ-[+V`t /*E +]wkbJK!Z fgMe(',n-S|oL3e(uɭu%I渿6KHUYC?k?pTx^2Ĺ W(LJt n-&ٰ 5ej]vw{TPV`t /*E +]wkbJK!Z fgMe(',n-S|oL3e(uɭu%I渿6KHUYC?k?pTx^2Ĺ W(LJt n-&ٰ 5e]wDŖa;*HʀH
E]#mDրe YJ	2T})?LJ]rk]zIfy/͵R@EOﵜ(g1.s 0@)۵3Kvɶl#m p 5hkL&y $
v]aI0/2l_	hG*K,kb*EU-jȑH#@L
ŭﵜ*Ubr	e"nbV.51%%Fې 33 e7aR>7~ֺ$\_k*,١ڟ
Z39
 NxV ڙd68 5g>v'vgXAY3, U@^T%@W-XXĔ	nB& Λ/8PNY݆Z3HޙfP:ZK4q~m
/fj~}@e39s P釀%bNݩ[Mai5gzh H14k3.& 3Ϙ=$d3@Y/r W(Nx {q(
ˋ@ ZݬY¥V)yP R) 6^(bc]cR\$m3:l)@A9fSvjϥ#zg)@`MkI,O5*ZBȽe39s P釀%bNݩ[Mai5jfl ?@ UO(#J=IR0\+pJZ-RXM|JʹAZe͗i(FJn=sM}bһ4d\o{k*,١ڟߵe QZ:TU敖gQ}KdV,T/)JrԎ{/-mN
צ{5,dވ	$|-e 5gZr.Zn& 6D`RiM5iiv̅gp4Ɛ\GLm"pt>kf!5xyZ 3S@TѧO爴N,.Kr3vd[ S%> m^ڪB 5e-w(;KTJ|
ۚmZMhY6o* !9ހ&q =BU(cA10f\uWZLj]ih;llPk>j    5e]vw{TPTJ|
ۚmZMhY6o* !9ހ&q =BU(cA10f\uWZLj]ih;llPk>j    5fzw=*Îb_7{Z jM[
Nd	@P=B zg2LlĦ$82W j֓eZ%'0=ϲڀ..佀 5grv'6g6XAY3{, 	5ص Pm2ߤ T@Bs%׽ L z1֫>	Pǧcf%4a ͩ TՐ,)8vـ}uw% 5c&-w(;KV/.*.آ[ 5d]w{T]V/.*.آ[ 5byQv-^dzlZ^P4- 5aXv(gX\bl//]6(vgX@5h>*Y n ܕV 8kY#oDe N5YxH.[Ҫ|(Ck̵\ٶS7=jkVwkN,vћLR
Yk`bɵ& Z*, T WS֘7TF=?G-5m 5hjkL&y $
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ձEamdκv@V'Åآ[گ5e-[+T%LW-0\vZ kͪj 0IYFɀ 5g ^&v FPO "' "wD& u ]5ef]v{4PT%LW-0\vZ kͪj 0IYFɀ 5g ^&v FPO "' "wD& u ]5e]wDŖa&`yS KL)6]րƳj6L Vo1Q` *n6dk`	'#>k	.gl@p 5hkL&y $
v]aI0/2l_	hG*K,kb*EU-jȑH#@L
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|ڈ 5hyQv)h&RZ& ?*l	[a{> R@+*W]mz. 5hyQv)h&RZ& ?*l	[a{> R@+*˭uŶ 5fvw0-*Öb˥ʋ(aKA5R)0 Sg Lp)Dxd5e %J^UM_^ 5gzv'6g6XAZ,\bVU)-B MP6~P-mIGVCVXJRT^eVC 5iy7ȯn7V[`~].b 5b{xQiR_U 6q0 ].Ze%Rp^sfbl/8 .b̰	&ι 
vp$t6p 5iy7ȯn7V[`WM͙MV?  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~  hFNFuuFFF/ M:_&j&wvFg~~bh~a^n~~^F^^F  FH    /   vh /F +F++u+/   /&&&&&F&vl{ggggggbbbbsnnnnnFn^~^ X T`  XT0S Xb\`  XNHZ`%& xX:aT  XR3 X[1g XJ.g XTG3bXi[PnEPѷ@Ir  _5L XEI$ XCT  XQI4   XTG  X'KT`  X^Ht` XEJ( XMIt`  X=IX9I$X$H  Xs)7H\XXo X{YXXo XP>$  XXt$8XU`  XdR`  X:Tt( Xd[4`  XdI`  XdH`  X:Z4(XdS`  XE-t`  X.`XgWt`  XdGt`  Xd_t`  XdS`  X:]  XdIt`  X:_ bXdY`  XCP4( X N`  XYR` XU`  X.x`  X"S`  XNt`  X?P`  Xx/b X#<L XV+Sb X]]4cU_QhK X/꺀X4A X]I X5?WX6DS X5FX"13  X6DWj X]F  XXTL  _!tLj XaK  X^  X]q  X]F  X5G7 X]Ig X6DWg X]77H  X7= X/XYEH XHH  X+cwH  XHH  XHHg X/>WH  XWEb X"b X^Fb X^]8ǝXp   X L( Xp   OsE _P$2WndPXY]D  X^EހX^E X>2 `%V x`!  pX].+ ` v  Xp   Xp   Xp   Xp   _s XP# _1s XK< X]:W XMGKq XMvKq XwB^ XUo4c< X7= Xa.+ X5ww Xp   Xp   XNq`   X T`  XPF|ZXEH$  XEI X6J`  X"b XVF$`X;N XPv4 4XL;#{XSG׀Xi[ Pѷ@XPv4 4_Q
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  D2 NormalStressN blue_x_left blue_x_right green_x_left green_x_right NormalStressT blue_y_top blue_y_bot green_y_top green_y_bot ShearStress tau_positive tau_negative positiveThetaArc gotoAndPlay negativeThetaArc this RotationAngle SelectedStressElement axis_1_label axis_2_label axis_s1_label axis_s2_label axis_n_label axis_t_label theta_target _rotation theta_target.theta_text Math abs theta_text sString  formatDecimals  txt1 sigmaXmark _x _y original_sigmaXmark dStress txt2 sigmaYmark original_sigmaYmark txt3 tauXYmark original_tauXYmark highlight_hole highlight _visible           H 9 	   @#	   @#	   @ #	   @ #    	         H 9 	   @ #	   @ #	   @#	   @# 4 	   @ #	   @ #	   @ #	   @ #         H 9 	   @#	   @#	   @ #	 	  @ #   	         H 9 	   @ #	   @ #	   @#	 	  @# 4 	   @ #	   @ #	   @ #	 	  @ #         
H  	   @#	   @ # R  
	         H  	   @ #	   @#  	   @ #	   @ #        R        R     A        # 	         I o 	    A#	    A#	   @#	   @#	   @ #	   @ #	   @ #	   @ #      I o 	    A#	    A#	   @#	   @#	   @ #	   @ #	   @ #	   @ #       IL       I j 	    A#	    A#	   @#	   @#	   @ #	   @ #	   @ #	   @ #	    A N	       #	    A N# z?{G     RH    N  O B   N	         R     !R "GO         H - 	   @#	   @ #	    A#   	         H - 	   @ #	   @#	    A#  	   @ #	   @ #	    A#	    A#	   @ #	   @ #	   @ #	   @ #	   @ #	   @ #       # R      R d   H - 	 #    $ %N#	 #  ?$ &N# ( 	 #    ' %N#	 #  ?' &N#	 #   A# # ( O       ) R         HL      H - 	 )    * %N#	 )  ?* &N# ( 	 )    + %N#	 )  ?+ &N#	 )   A# ) (O       , R -   HL    H - 	 ,    - %N#	 ,  ?- &N# ( 	 ,    . %N#	 ,  ?. &N#	 ,   A# , (
O / I   0 1O   0 1 O    &  @ h`  sigmaXmark    &  @ sigmaYmark    &  @ KtauXYmark "   &  @ n  original_sigmaXmark "   &	  @ original_sigmaYmark !   &  @ Koriginal_tauXYmark F       &   negativeThetaArc N   h        &   positiveThetaArc          &    blue_x_right    &    @   blue_x_left    &!  5 green_x_left    &$     e@ green_x_right    &'    @ blue_y_top    &*      (blue_y_bot    &-   5green_y_top    &0    ʀgreen_y_bot    &3   tau_positive    &8      tau_negative    &=   @ H axis_n_label    &? " ˋ axis_t_label    &A $ @ Haxis_1_label    &C & @ ŀaxis_2_label    &E ) @ Haxis_s1_label    &H + @ ŀaxis_s2_label    &K 0  theta_target    &M 2 ' txt3    &O 2   txt2    &Q 2   txt1    &S 4  highlight @ @ ?    @      6 5 @ rotated_element  %   6 `	000  f f$=´tP0 U 6   &   7 _a   f f%l0\+A$9 V 7     8 Wԉ 	- fB@ W 8 =F    9 P߇ 	- f  S	 X 9 @ORwP &   : o__   f%7fa5YY : ;     ; @  3ff% 
  Z ;  A   < h"P   
- fIT8 SԇyT"`  [ <   @'U    = b6  	- f  R) \ = 0] ;   '   > Xa   f f$<h!\4  +   ? _D   
 f%Gxd[`,'2{  *   @ X\b f kAw[,)b7{ $   A ` " 	- fwM  *   B X\b  33 kwò;Y=*m=vG{& $   C ` " 	-  33wM  $   D XFo@   33  3f5m|d+@    E  | >   ?   u@Dc @   >   34  
B ?   u@Dc 34  
B A   @@'t@
 B   C   @@'t@
 D          ^ E ì      F PnH 
 f%K9Cj~)_:     G N%i- f +~)_9wX     H Xg  	- fM     I Xg  	-  33M  1   J _e@   33    lt'#ȿ;iFA´i   K   >    @)0F   ?xG    ?i>    @)034  
B F   ?x 34  
B H   b@'u(G    ?i     0 I   b@'u(J          c K   @-g     L Z?b ܄ 
 f%iwgF     M d>@ f C3c     N Xl!   	- fn     O R瑊  33 NzݜnN7Y     P Xl!   	-  33n  .   Q _e@   33    =l}Dph慀14    R   >    @)0F   @ PPL  @ PM   -* G    @JJA>    @)034  
B F   @ PP34  
B L   @ P34  
B N    @'} O    G    @JJA     0 L  Z34  
B P    @'} Q          h R   @-uY (   S `$
 	- fwM (   T `$
 	-  33wM  $   U Xy@   33    5o |d+@ 4  V  &>    @)xF  @ n@L  ^ M   )k< G    @JKW>    x|34  
B F   n834  
B L     A134  
B S    @'[@
 O   G    @JKW     0 >    @)x34  
B F  @ n@34  
B L    @ A0P34  
B T    @'[@
 U          o V   @-Wa l   W x4n  
 fjh)u Фȳ {Фȳ ֘ȳ}Ф{  { Ф{  {  {}{ v W  @ k( 6   X D40  f%9O P
q%)q^P5 %R   &   Y @S$  f 9O P
q97g2d 	S  Z  ?     X   Y  @  @oL @  yXmS @  (k @  wޱl@J @  ~' @  eŗ4 @  M&uyF @  vv @  v @  M&򌆺 @  eh0 @  ~O| @  wޱ? @  x @  yƧ6 @  @Mo @ ?         @   w Z @ TtsP z ;  f  [ x 4 CT  
 f=PЀ ` `ļ`Ѐ `` ` `̦ЀȋǌЀȋ` `((Ĕȋ `̦ǈĨqЀ `Ѐ `İ`ǔ `̦Ѐȋ̦̦e `  o=Ѐǔȋ `ȋ `Ǽȋ(` `ǐ `̦ǔȋ `̦Ѐȋ̦̦̦ `Ѐ`ǜ ` `Ǽȋ`觼Ѐ` `ǐ `  ?ضȋЀ`` `İ`ǔ̦ `̦ `̦Ǽ ` `Ѐǔ `̦Ѐȋ̦̦ ``(Ѐ `Ĕ`e ` `|̦ `Ѐǔ `  <̦Ѐȋ̦̦ `Ѐȋ̦vȋ(Ѐ` `ǄЀ`̦ `Ѐ `ĔЀȋ(`ǔ `Ѐǔ `Ǽȋ(` `ǐ `  n%̦ǔȋ`ǜ `̦Ѐȋ̦̦̦ `Ѐ`ǜ ` `İ`ǔ `PTe { [ IX    \ h /v   % O. 0 	9   ]  ?           330         330 @      ^ P 	   8 	  _  ?j    sigmaX blue_x_left blue_x_right green_x_left green_x_right sigmaY blue_y_top blue_y_bot green_y_top green_y_bot tauXY tau_positive tau_negative dynSigmaX dStress gotoAndPlay dynSigmaY dynTauXY           H 9 	   @#	   @#	   @ #	   @ #    	         H 9 	   @ #	   @ #	   @#	   @# 4 	   @ #	   @ #	   @ #	   @ #         H 9 	   @#	   @#	   @ #	 	  @ #   	         H 9 	   @ #	   @ #	   @#	 	  @# 4 	   @ #	   @ #	   @ #	 	  @ #         
H  	   @#	   @ # R  
	         H  	   @ #	   @#  	   @ #	   @ #   O        R  O        R  
O        R    &  @ }  sigmaXmark    &  @ 0sigmaYmark    &  @ jtauXYmark  \        &	    blue_x_right    &    @   blue_x_left    & ] 5 green_x_left    & ]    e@ green_x_right    &    @ blue_y_top    &      (blue_y_bot    & ]  5green_y_top    & ]   ʀgreen_y_bot    &!   tau_positive    &&      tau_negative +  @ G_@, ^ ~   &- 2 @ OdynSigmaX    &/ 2 @ 
	idynSigmaY    &1 2 @ LUdynTauXY @ @ ?    @      6 _ FfN'Z  given +   ` ^/9UE  <    %f6z     %y5ye    a XH e 	      -j;è    b P	 	 d 	,   c  ?     b   @I@ @ ?    @      d P4	 	 T 	,   e  ?     d   @IԀ@ @ ?    @       f e7P     %G=[    g g8 P     #   1   h eU* * ff oF 
nP @Uu f ??   i ` 8EP          %s5ibdxФT )[% C   j h x  	      -j;è@DꎹnT.F8/Dv&gyP@ 	<  k  ?  B  labelA _rotation this labelB n_axis t_axis vertical label_theta             NO           NO           NO           NO           NO           NO 
   initial_geometry  `   a `@   .
 c vHh    labelA    . e Mh    labelB @ @ @ ?    @ ?  B  labelA _rotation this labelB n_axis t_axis vertical label_theta             NO           NO           NO           NO           NO           NO 
   showing_nt_axes  f     6 " vX t_axis  g     6   @ v n_axis @ @ @ @ ?    @ 
   rotation_tween F h    i  @  Ķj% @  B!@@  0'@  
 @  PfC3 @  e @   @  rºaE @  d	n @  ծkq @  <F} @  HE @  ŹXܬ @  Ů[얉 @  ţhѴT @ ?     j :@   #   6 k źv;8h thetaPlaneSurface     l T   ̙ @a8eÅ    m  
 l        
   =   n T   f 3ff  _;a;v_D8Y\'ACP`u|7 {߯    o  
 l               p d>@ 3ff 0pd     q d>@  ap` X   r  M   p   q   M         start     _parent   gotoAndPlay R    D  s 0 2 [  t59+4L$ 5NR\wջfs!b_~c_o۳&1 5gd]{]<}[@mJF1*Do*JIk,R/&Xf (K]rC8t@-nz@dRmkO{rgnp%Oiy幺]}[dEw` 5feV)yP R) 6^(bc]cR\$m3:l)@A9fSvjϥ#zg)@`MkI,O5*ZBȽY%`@0:bS ;vin6̈́m 5b{xQiS[U  2q0 ]/&z%Rh{nبAN ,͘4J`	ٷ-%)ks@A#5gZr.Zn& 6D`RiM5iiv̅gz6r.l7fH/e2]ݪ  5h{yXVikNZ&p~.wW&RY%[R;ax.,w$_}5چ 2LDf*
w5DWP&כobk@Bɴ~Q	̗^3Ǩ@Z&Y@3R	ф6JRcVBKDfg6[Y[Ppܗ 5f&}U/]{ FOqSZw(bf 1˘)t[z 5hx^
~ Sf!e.%ݬSeAЎyeYkF 	 1n'ـ.s%)-P]_U ڤ{Hl,Pm3@9L&!1M H<%Sn>[[yہ 5ef[ /7jآᰶKMg];k[ +`aQrmjU~  5byQv-^c
lKl5l5b{yXV,^ 5kbf\ ,8jآᰶmi]z[ ,;'ސ^Yv(l-RdV\Y'-v;\Ka{U-*lJ0Q\h/*M@ 5ef[ /7jآᰶKMg];k[ +`aQr-WҬd  5I, *b	i%5r˴ XmSPɀJ*6L A8F̍`32bx8't4PՌ 5bu]J
r̠		<2qu<)-2mk7][\ax(=seLL76uW#Ȼ=A#5fvX2/]:N3bl/lJ⚽Ҫڴ`u
 5ff1\Yp	fR['2e*Ixnkj.d 2IR% `d%gfqf[!eZI[dWenv\۳n\6Iؤ:h敜ymf 5a~wk۪~u	@1YQ2&%@l<I!vU5@I4 06lv 5hyQv)h&RZ& ?*l	[a{> R@+* 5lny]SpMvO>t.PNGFCax 5K-m{[2ėj]ӭ=nw 5iy7ȯn7V[` #   s verdana ABabcdefghilmnoprstuwxy7   t hRp 	s   e&_:<IԘ:<H%fzHfk f   u  M   p   q   M       $  confirm_stress_signs     _parent   gotoAndPlay R    W   v h^ 	-   }_f}} TB} TĒB_ Tff T}B} ^   w  M   p   q   M         need_normals     _parent   gotoAndPlay R    G   x hZ@ 	s   2XBr` ai&PkTY
e@Tra(A  g   y  M   p   q   M       %  angle_between_normals     _parent   gotoAndPlay R    ;   z hSz 	s   2XBr`Pi&Re8@ h   {   M   p   q   M       &  showing_angle_rotation     _parent   gotoAndPlay R       |  5bhc.xsIM-ːSg( l$	i[z֗~f ;(ef<U +}20`JS|	d1Q    | symbolqR   } hY  	s   2XBr` |  s  RE_R`H%fzJ	cfRGՐr` g   ~   M   p   q   M       %  show equation sigma n     _parent   gotoAndPlay R       
 r  K5I'FL	)$)
QD0\	$A Lw `,(H / PRI~ R
)J@	0
d0EA	@| 5bhc.xsIM-ːSg( l$	i[z֗~f ;(ef<U +}20`JS|	d1Q 5ITmRΦ4:F զ& 6r^ਗf0c JS7$&Nf 0nF I Zkl-((&J~k 5E<mxlnY' @1$ZDp	 =R !`%5ɹw )' nUJ2|GiStĔ  5h6-u7m-׿׉SP     Symbol\qstY    ht  	s   zHJ	e	GT  	&  ފs    zHDHP JP ]      M   p   q   M         show tau nt     _parent   gotoAndPlay R    1      5bhc.xsIM-ːSg( l$	i[z֗~f ;(ef<U +}20`JS|	d1Q 5ITmRΦ4:F զ& 6r^ਗf0c JS7$&Nf 0nF I Zkl-((&J~k 5E<mxlnY' @1$ZDp	 =R !`%5ɹw )' nUJ2|GiStĔ      Symbol qste    h  	s   
} (&_ T  i-  c=-    Ts   T B T , Z      M   p   q   M         finished     _parent   gotoAndPlay R    9    hS 	s   ZB&kTzI@"f:>G&B~G 	_    ?    

   collapsed  m ֕ n ֕@ @ @ @ @ @ @ @ @ @  ?    
	   expanded  o ֕
  r  H
  t  @ `A @  u  h  v  @ ` @  w  Ɉ  x  @ 
 y  ̨  z  @  {    } â @  ~ d    j @   e    2 @   fJ     @ ?    @      6   bc_button @ ?G  }  sigmaX sigmaY tauXY theta StressCalcs given _alpha gotoAndPlay thetaPlaneSurface initial_geometry rotated_element _visible   (      #            =    O  O  O  d   O        R  d   O	 	    R 
  O @ @ @ @ @ @ @ @ w ?     5    D$  f 9O P
q%)q^P5 %R  	        @   w  @ TtsP @ c h w ?   W  thetaPlaneSurface _alpha initial_geometry gotoAndPlay rotated_element _visible given    d   O	      R   O  d   O 
   confirm_stress_signs Z    pLj'
  	- fnw bM bMn bww bM [      b6  	- f  RI \        >    @)0F   ?xG    ?i>    @)034  
B F   ?x 34  
B H   b@'u(G    ?i     0 I   b@'u(J          c    @-g       >    @)0F   @ PPL  @ PM   -* G    @JJA>    @)034  
B F   @ PP34  
B L   @ P34  
B N    @'} O    G    @JJA     0 L  Z34  
B P    @'} Q        #  h    @-uY w Z @ TtsP P   x d  
 f@.L1Lve2q 04 K2 ȋJ]3)"-	vfS&B `^`.1	K&#S	vЀR0/0`()tȋdE0l`aّbb51җKvl `  oAR0.1b)t `R0.1єD["-)th@ F" ^`.1K;BH\c) A 001k"R `fS)p2yl[%.#q̦ 0    L;/0`:(B] K:C ̦Pc.l2 ȋJ]3)%"-)tHq-  L - 04 Kve2y 0.1טB` `fS4 iKe32 `fS KòqHb l`y̦R04 dЋ-  nL 1 0#)WR#"-)țfS)pyȋZ!. e3BfS3)
Fe0!L;)K 	v̦ 0.1җID%BHضJ] -  L 4 03)K%", ̦h@2"җLfe0 B]  Ke+BL `^`.1Ky̦R04 dv `L;!.єKq `h@(1җ@ 	+`b/0Fl 09-	E#"-)th@)pL `Hb%.F:R! `B])E2HЀR06-@ {      hB 
 fXȋ `Ѐǔ `̦ЀЀ `v `  o̦Ѐȋ̦̦ `̦Ǽ `ǔȋe `  Ѐǔ `ǵ(ȋ`` `̦Ѐȋ̦̦ `  ض`ǔ̦ `ȋHq |  a@    PБ+x 	 jh` }  @qm<    Px  /  ~    @8NtDP    PB	 	-     @8NxA*    `<$ 
 	0 e  `e	p̈́     @'~)A  @qm_0    P  /      @8Ntf   @8Nxe`*    `
8$ 
 	(4e  `e	p̈́    0@'~e`    P+x 	 jh      @qm    @8Ns    @8Nu   @8Nxч*    `
8$ 
 	$4e  `e	p̈́    0@'~Շ j    pg!` ( %đ$߽sEp}E3 'DtBqOa~tX_8N ղ;[_XFo	/ooq+ww    $    `% " 	 vc+Բ   3%$    `$"
 	 lc+Բ   @ @ @ @ @ @ @ @ @ w ?    w  @ TtsP" @ c h o w } ~             ?   W  thetaPlaneSurface _alpha initial_geometry gotoAndPlay rotated_element _visible given    d   O	      R   O  d   O 
   need_normals T    pLhπ
  
- fWE)RDŌR @&*'1Jp"L b&@)Ō5TL@ [      b  	- f  Ri \        >    @)0F   ?xG    ?i>    @)034  
B F   ?x 34  
B H   b@'u(G    ?i     0 I   b@'u(J        #  c    @-g#       >    @)0F   @ PPL  @ PM   -* G    @JJA>    @)034  
B F   @ PP34  
B L   @ P34  
B N    @'} O    G    @JJA     0 L  Z34  
B P    @'} Q        -  h    @-uY# 4    &>    @)xF  @ n@L  ^ M   )k< G    @JKW>    x|34  
B F   n834  
B L     A134  
B S    @'[@
 O   G    @JKW     0 >    @)x34  
B F  @ n@34  
B L    @ A0P34  
B T    @'[@
 U          o    @-Wa# w Z @ TtsP# g   p d>@ 
 f< `(̦Ѐ `ĔЀȋ(`ǔ `Ѐǔ `  o̦ЀЀ `v `̦Ѐȋ̦̦ ` `İ`ǔ `PTe ?    x `ļ `ЀǤ`̦e ` `(̦Ѐ `Ĕv`ǔ `  Ѐǔ `ȋ`ЀЀ` `v `İ`ǔ `PT `  nȋ`Ѐ`ض `Ѐ `Ѐǔ `İ`ǔ̦ `v `  ȋ `̦Ѐȋ̦̦ ``(Ѐe {     p X 
 f# 
xǔ `ǜİ` `   ``̦ `Ĕv`ǔ `̦ (O rЀǔ `ǜİ` `ĔЀ `Ѐǔ ` (v `v `Ѐǔ `̦Ѐȋ̦̦ (a`(Ѐ `ǐ `İ`ǔ `PTe	x `v`ǐ `  e ` `̦ `Ѐǔ (< s
vЀ `ЀǄЀ ` `İ`ǔ `̦ȋv (^ `̦ `Ĕv`ǔ ` ``Ѐ̦ ` Ǽȋ(`fe (  <]`` `̦ЀȋǌЀ `Ѐǔ (rǼȋ(`̦ `Ѐ `ļЀ `Ѐǔ ` ((v `ǐ `İ`ǔ `PTe `ǐ ( Ѐǔ `]`` `ĔЀȋ(`ǔ `Ѐǔ (kqǜİ` `ĔЀ `Ѐǔ̦ (%Ѐ `Ǽȋ(`̦e |    H    q.` ( %3谾pejwߵ_71WG   @ @ @ @ @ @ @ @ @ w ?    w  @ TtsP, @ c h o w |   ?   V  thetaPlaneSurface _alpha showing_nt_axes gotoAndPlay rotated_element _visible given    d   O	      R   O     O 
   angle_between_normals B    hۮ@   	- fbM b b bn b [      b6  	- f  R \        >    @)0F   ?xG    ?i>    @)034  
B F   ?x 34  
B H   b@'u(G    ?i     0 I   b@'u(J        -  c    @-g-       >    @)0F   @ PPL  @ PM   -* G    @JJA>    @)034  
B F   @ PP34  
B L   @ P34  
B N    @'} O    G    @JJA     0 L  Z34  
B P    @'} Q        7  h    @-uY- 4    &>    @)xF  @ n@L  ^ M   )k< G    @JKW>    x|34  
B F   n834  
B L     A134  
B S    @'[@
 O   G    @JKW     0 >    @)x34  
B F  @ n@34  
B L    @ A0P34  
B T    @'[@
 U        #  o    @-Wa- w Z @ TtsP- 3   p血 
 f< `̦ЀȋǌЀ `Ѐǔ `Ǽȋ(` ( oЀ `İ`ǔ `PTe ` `xǤ`̦ `Ǽȋ(` (`̦ `Ѐȋ( `Ѐǔ `  `໤`̦f (`` ` `Ĕ̦ `ЀǤ`̦ ( nĤ`ȋЀ` ``̦ ` Ǽȋ(`f `Ѐ `Ѐǔ (/İ`ǔ `v ``Ѐȋ̦Ѐem
 ` ``ؔĤ`ǜ ` `ȋ`ĠЀǄǐĔ (iȋĤ`ǄЀ `̦̦Ѐ(e ` (g`̦ `̦ЀȋǌЀ `Ѐǔ `໤`̦ ( lĄȋ``` `Ѐ `İ`ǔ `PTe ` `xǤ`̦ (Q໤`̦ ``̦ ``` `Ѐǔ ` Ѐ `໤`̦ (f&`` `Ѐ `Ĕ̦ `ЀǤ`̦ (1kĤ`ȋЀ` ``̦ ` 
ЀǜĔЀ``f `Ѐ (Ѐǔ `İ`ǔ `v ``Ѐȋ̦Ѐe {  0@ @ @ @ @ @ @ @ @ w ?    w  @ TtsP6 @ c h o w ?   U  thetaPlaneSurface _alpha rotation_tween gotoAndPlay rotated_element _visible given    d   O	      R   O     O 
   showing_angle_rotation Z    pLht
  	- fbM b  -  bMn bww bM [      b  	- f  R \        >    @)0F   ?xG    ?i>    @)034  
B F   ?x 34  
B H   b@'u(G    ?i     0 I   b@'u(J        7  c    @-g7       >    @)0F   @ PPL  @ PM   -* G    @JJA>    @)034  
B F   @ PP34  
B L   @ P34  
B N    @'} O    G    @JJA     0 L  Z34  
B P    @'} Q        A  h    @-uY7 4    &>    @)xF  @ n@L  ^ M   )k< G    @JKW>    x|34  
B F   n834  
B L     A134  
B S    @'[@
 O   G    @JKW     0 >    @)x34  
B F  @ n@34  
B L    @ A0P34  
B T    @'[@
 U        -  o    @-Wa7 w Z @ TtsP7     hC9 
 ftЀȋЀ`ǜ `vȋ( `Ѐǔ ` `  o໤`̦e ` `(̦Ѐ `  ȋЀЀ `,4 `   ǸЀȋ``̦f `  nЀ `ȋ `Ѐǔ ` `໤`̦e {  :    p h H 
 fxǔȋvȋe `Ѐ `(Ѐ `Ѐǔ `  o̦ЀЀ `v `̦Ѐȋ̦̦ ` `İ`ǔ `  PT ` `̦ ` `ض`ǔ `vHq |  "U@m    p8 
 f` `Ѐǔ `̦Ѐȋ̦̦ `Ѐȋ̦vȋ(Ѐ` B  o
ǄЀ`̦e }  #    Pɘ 	 ., ~  9   @8Npp      ` $ 	 [?@    J@'up    p*^ 
 f@)
pBA 03)2L `h@2"Зkve2ayȋZ!.
F   o#J]11KyfS@:R ̦R0'1e*qضJ].1
F v^`2"    J   0)%2 v^`,2-  L  0  J   0)  `b/0Flf 0)R (jc) DZ h@%. t!L;2"טRBA 08.KڑL `h@/0 :R  0!.jFe0H 0 B]  FR0vRX0/0蒑Lf 0$12 `^`.1Ì-  	L  0  J   0) \c.Klf 0)R ȋ^`4 mH 0!. v
	FRUetIH̦J] f 0$12 `^`.1 9h@ ̈Ԡ h@(1җ@	vR03)  J] %ۂH̦2   j@ @ @ @ @ @ @ @ @ w ?    w  @ TtsP@ @ c h o w | } ~    ?   } 	 rotated_element _visible SetupTheRotatedElement highlight_hole thetaPlaneSurface _alpha initial_geometry gotoAndPlay given    O d         =   O  2   O	     R  2   O 
   show equation sigma n c    pLHA 
  
- fIO*
ꥍA)N b T- / 9-  1O* *t6	Q8S  [      b  	- f  Rɐ \        >    @)0F   ?xG    ?i>    @)034  
B F   ?x 34  
B H   b@'u(G    ?i     0 I   b@'u(J        A  c    @-gA       >    @)0F   @ PPL  @ PM   -* G    @JJA>    @)034  
B F   @ PP34  
B L   @ P34  
B N    @'} O    G    @JJA     0 L  Z34  
B P    @'} Q        K  h    @-uYA 4    &>    @)xF  @ n@L  ^ M   )k< G    @JKW>    x|34  
B F   n834  
B L     A134  
B S    @'[@
 O   G    @JKW     0 >    @)x34  
B F  @ n@34  
B L    @ A0P34  
B T    @'[@
 U        7  o    @-WaA w Z @ TtsPA k    pI	x 
 fhȋ(` `̦Ѐȋ̦̦ `  /   ` `Ѐǔ ` `v {  <`    Px 	 /      P:	 	- (     XXa   	-      P,Ӊ 	-      XP   	- M      Ta8  %P;x      P2	 	 8      Ta8  %P;x      P*Ӊ 	-       hP  %~9 	-    g,W0 f        sSigmaX (-00.00) 	-    g+O0 f         sSigmaY (-00.00)      r#҉(  %ȓ
c 	-    g+G0 f        sSigmaX (-00.00) 	-    g,0 f         sSigmaY (-00.00) 	.    g80 f         sTheta 2(360.00) 	,    g+'0 f        sTauXY (-00.00) 	.    g:(0 f         sTheta 2(180.00) 	+    g"0 f        sSigmaN -00.00     Xp   
 fe	p̈́ 	J    oG0        sTension compression normal stress on n face 	   $ ?k  {  sigmaX _parent sigmaY tauXY theta sigmaN sSigmaX ( 0 ) Math formatDecimals ( ) sSigmaY sTauXY sTheta (0) 2( ) sSigmaN 0     N  N  N  N  N  	         I    1 	          	R 
G G 	         I    1 	         	R 
G G 	         I    1 	         	R 
G G 	         I    1 	         	R G G 	         I     	         	R   @<@    @8J>   @8Jk   @8Lu!A    @'gP@  .@'yP@    ?~K@   @8ND	  @J 
  @8NL  @8NN   @'Q  E@'Y8   ?\Љ  ֎  @b    @8K|   @8LFx  @W`(    @8Ld   @8LF    @H@
     @8MN(   @NS(   @ZP
     @8M`(    @8MS @ @ @ @ @        @L=  @ ct    @8MF@!  @'O@"    @MFN@@ @ @ @ @ @ #   @8M~1 @ @ @ $   %    @'E89&  .@'[9'    @N[S(    @'`l9@ @ @ )    @'wB@*  @'@@ @ @ @ @ @ +   @8L.@ @ @ ,    @'A-    @'M .  t @ @ @ @ @ @ /   @8NRnp@ @ @ ?   W  sigmaN sTension tension normal stress on n face compression normal stress on n face            H    .   	         H       0   1  02  h@      6|  2 A sigma n equation @ @ @ @ @ @ @ @ @ w ?    w  @ TtsPJ @ c h o w | ?   } 	 rotated_element _visible SetupTheRotatedElement highlight_hole thetaPlaneSurface _alpha initial_geometry gotoAndPlay given    O d         =   O  2   O	     R  2   O 
   show tau nt e    pLHN 
  
- fIO*
ꥍA)N b =- / 9 -  1O* *t6	Q8S  [      b  	- f  S	 \        >    @)0F   ?xG    ?i>    @)034  
B F   ?x 34  
B H   b@'u(G    ?i     0 I   b@'u(J        K  c    @-gK       >    @)0F   @ PPL  @ PM   -* G    @JJA>    @)034  
B F   @ PP34  
B L   @ P34  
B N    @'} O    G    @JJA     0 L  Z34  
B P    @'} Q          h    @-uYK 4    &>    @)xF  @ n@L  ^ M   )k< G    @JKW>    x|34  
B F   n834  
B L     A134  
B S    @'[@
 O   G    @JKW     0 >    @)x34  
B F  @ n@34  
B L    @ A0P34  
B T    @'[@
 U        A  o    @-WaK w Z @ TtsPK     p 	 	 fuCU+`3Sh*56j`   / L ! {81] `c+Բ0R`DyW@4@ `I$\Ժ )0^ {   @ I0     iPR	   %AG     Py  / L      phD	'h  %~	-    g+'0 f        sSigmaX (-00.00) 	-    g+0 f         sSigmaY (-00.00) 	.    g:(0 f         sTheta 2(360.00) 	,    g+0 f        sTauXY (-00.00) 	.    g80 f         sTheta 2(360.00) 	*    g$0 f        sTauNT -00.00     Xp   
 fe	p̈́ 	g    o0        sTension shear stress on positive n face acts in the positive t direction 	    ?i  y  sigmaX _parent sigmaY tauXY theta tauNT sSigmaX ( 0 ) Math formatDecimals ( ) sSigmaY sTauXY sTheta (0) 2( ) sTauNT 0     N  N  N  N  N  	         I    1 	          	R 
G G 	         I    1 	         	R 
G G 	         I    1 	         	R 
G G 	         I    1 	         	R G G 	         I     	         	R        @<     @8J2    @8JT   @8KD   @No     @'C`P   .@'RP 	    ?XpK 
   @8MbP   @o <   @8Mt Z   @8Mx Z    @'}P   E@'Gx    ?JH  @H (    @8LU@  @N]x  @l@(    @8Ly`   @8L^@ @ @ @ @        ?"T!  1M؏  @:MPX݀  @MX@݀    ?PYD@  .@'3T!@ @ @     @'CD?    ?K?@ @ @ @ @ @     @8L3W@ @ @ !    @'GW@ @ @ "    @'P! #  @'a @ @ @ @ @ @ $   @8NNq@ @ @ ?     tauNT sTension shear stress on positive n face acts in the positive t direction shear stress on positive n face acts in the negative t direction            H    .   	         H       %   &@'Uq&  ҈ '  X@      6|  @ K tau nt eqn @ @ @ @ @ @ @ @ @ w ?    w  @ TtsPT @ c h o w | 
   show principal       >    @)0F   ?xG    ?i>    @)034  
B F   ?x 34  
B H   b@'u(G    ?i     0 I   b@'u(J          c    @-gU       >    @)0F   @ PPL  @ PM   -* G    @JJA>    @)034  
B F   @ PP34  
B L   @ P34  
B N    @'} O    G    @JJA     0 L  Z34  
B P    @'} Q          h    @-uYU 3    &>    @)xF  @ n@L  ^ M   )k< G    @JKW>    x|34  
B F   n834  
B L     A134  
B S    @'[@
 O   G    @JKW     0 >    @)x34  
B F  @ n@34  
B L    @ A0P34  
B T    @'[@
 U           o    @-WaU w Z @ TtsPU =    hP  	 fq.xԴ0bB56rSfu` {   )@'I4    hQ  	 yCUHW@)0f s 1]B  oM$\٩0^&HL1R`
    M$\٩0`İ
<Ù@ |   O    P:	 	- r      f.?t  %pD{L     Xc!w 
 h ?     Arial   	     _$a 0        (  ( 	     _$a 0        (  )     P -        P(
h - `      pk,-P  %:` 	0    g=0 f        sSigmaX (-00000.00) 	0    g=0 f         sSigmaY (-00000.00)  #    x]g@Ҁ  %`bǃ 	0    g=0 f        sSigmaX (-00000.00) 	0    g>g`0 f         sSigmaY (-00000.00)     `,P  D 	     g 0         (  ( 	     g 0         (  ) 	0    g=0 f        sSigmaX (-00000.00) 	0    g>g`0 f         sSigmaY (-00000.00) 	     g 0         (  ( 	     g 0         (  ) 	/    g=0 f        sTauXY (-00000.00) 	.    g40 f        sSigma1 -00000.00 	.    g40 f         sSigma2 -00000.00 	g   ! ?Q  s  sigmaX _parent sigmaY tauXY sigma1 sigma2 sSigmaX ( 0 ) Math formatDecimals ( ) sSigmaY sTauXY sSigma1 0 sSigma2     N  N  N  N  N  	         I    1 	          	R 
G G 	         I    1 	         	R 
G G 	         I    1 	         	R 
G G 	         I     	         	R 	         I     	         	R    @<  ( (@8J>   @8Kq    @~  * (@8KYE  @ l   @P@(  @8L]`	   @8Lex
   @v`(  @8MA(    @8Le   @'IpP   @ @   @8NJ   @O   @8NR  @8NT   z@ T   @ vz   @hX
   @8Mn(   @Ns@    @zh
   @8N@|
    @8Ms   @ `   @ B$  @ E  @'QЎ  @8J` @ @ @ @ @     !    @L8Ҏ"  @ O2#   @8Mf!$  @'oA%    @Mfs@ @ @ @ @ @ +   @'2!@ @ @ &  9 '  ؏(  .@'|)    @M|Be *    @'B~,   @ L-  .V.  `倊/  P`@ @ @ ' * - . / '  ؏*    @'B~,   @8Ng숰-   @ L.  .V/  `倊0  P`@ @ @ 1    @'lЈ2    @'E!<@ @ @ @ @ @ 3   @8Mb @ @ @ 4  N5 @ @ @ ?    5  @'c 6    @8M\ @   }  2 U @ @ @ @ @ @ @ @ @ w ?    U  w  @ TtsP^ @ c h o w | } 
   theta principal       >    @)0F   ?xG    ?i>    @)034  
B F   ?x 34  
B H   b@'u(G    ?i     0 I   b@'u(J          c    @-g_ h    @-uY_ 4    &>    @)xF  @ n@L  ^ M   )k< G    @JKW>    x|34  
B F   n834  
B L     A134  
B S    @'[@
 O   G    @JKW     0 >    @)x34  
B F  @ n@34  
B L    @ A0P34  
B T    @'[@
 U        K  o    @-Wa_ w Z @ TtsP_ Y   pr 
 	 f"mݒ. !]耤{80`I<jZL1!]` DHWYSJL  {  @'I4    i$a   % @    XW   	- n    P  /  	    _$a 0        (  ( 	    _$a 0        (  )  #   xD_   %TcF xA		0   g=0 f        sSigmaX (-00000.00) 	0   	g>g`0 f         sSigmaY (-00000.00) 	    
g 0         (  ( 	    g 0         (  ) 	/   g=0 f        sTauXY (-00000.00) 	1   g40 f         stan2theta -00000.00    P+P  
 jhN@ 	2   g40 f         sAtan2theta -00000.00 	-   g40 f         sTheta -00000.00 	  $ ?    sigmaX _parent sigmaY tauXY thetaPrincipal dXX dxx atan2theta tan2theta tan Math atan2 sSigmaX ( 0 ) formatDecimals ( ) sSigmaY sTauXY sTheta 0  stan2theta 0 -Infinity +Infinity sAtan2theta     N  N  N  N  N 	         I > 	     	 !	@-DT        	= O         
 R     	 !	@-DT  	         I    1 	         
 R G G 	         I    1 	        
 R G G 	         I    1 	        
 R G G 	         I    . 	        
 R  G 	         I    `   `yH    >   H     	        
 R 	         I    . 	        
 R  G    @'

P 7@8Ksd  .@'I    ?`Ď    @LI@  @GW@  @8MLP@	  @8MPP@
  !   @@H@    @8MF؟@  @NK0@  @RX@    @8MX@   @8MK@ $ q*@ @ @ @ @    @8MsP@ @ @    X@  .@'c|,    @NcXF 	  @'g<, 
8@     @MsP `@ @ @    @8LI@ @ @   &@'d&@ @ @ @ @ @  4* @ @ @  7@8M.    .@'*) !    ?$ "    @M$) @ @ @ #  &@'2) @ @ @ $ .@8M@%    ?@@ @ @ &   @8M$ @ @ @ ?    ' d% @   | 2x_ @ @ @ @ @ @ @ @ @ w ?    _  w  @ TtsPh @ w | 
   show max shear stress w Z @ TtsPi U   pJ4 
 
 fe	໤`(ǵ( ``İ`ǔ `̦ǔȋ `̦Ѐȋ̦̦ , {    XJ  	 / 	 	0   g=0 f        sSigmaX (-00000.00) 	0   g>g`0 f         sSigmaY (-00000.00) 	    g 0         (  ( 	    g 0         (  ) 	0   g=0 f        sSigmaX (-00000.00) 	0   g>g`0 f         sSigmaY (-00000.00) 	    g 0         (  ( 	    g 0         (  ) 	/   g=0 f        sTauXY (-00000.00) 	.   g40 f         sTauMax -00000.00    XA  / gi     qMd^0  %y]  	0    g=0 f        sSigmaX (-00000.00) 	0   !g=0 f         sSigmaY (-00000.00) 	0   "g40 f         sSigmaAvg -00000.00 	  #$ ?[  }  sigmaX _parent sigmaY tauXY SigmaAvg Cen TauMax R sSigmaX ( 0 ) Math formatDecimals ( ) sSigmaY sTauXY sSigmaAvg 0 sTauMax     N  N  N  N  N  	         I   	 1 	         
 R G G 	         I   	 1 	        
 R G G 	         I   	 1 	        
 R G G 	         I     	        
 R 	         I     	        
 R      @8M\pQ  @g`=  @8Ml`[  @8Mp`[   @ t    @a@.	    @8Ln`
  @Nw~  @B    @8MI@)   @8Lx     ?   g    @'lL    @<  h     @KS@ @ @ @ @    (X  .@'uY
    @Muu    @'|
   @8L*$Ǝ   @ |T f֊ 0m   }`@ @ @         hX .@'ui
   @Mu!u    @'|
   @L*$Ə   @8Nd\L   @ |T ֊ 0m    @'b>@ @ @   Ѩ!    @'C<@ @ @ "   @8L*'@ @ @ "  @*'#   ?L?@ @ @ $  @ b% &   @8M '  _ (  @!v)    @8M(:*   @8M,+  @4v,    @8M;J-   @8M,j@ @ @ @ @ @ /    @MF@ @ @ .  0  @ Vړ1   @8NJ2 !@'O3    @NJ@ @ @ 5   @8Nr`@ @ @ ?    4 "@'z|@   | #2 i @ @ @ @ @ @ @ @ @ w ?    i  w  @ TtsPr @ w | 
   max shear angle w Z @ TtsPs s   $pμ
 
 f-lȋ`ЀЀ` `v `(໤`(ǵ( ``İ`ǔ `̦ǔȋ `̦Ѐȋ̦̦ , { $    %i$a   % @    &P  / Ͱ 	    '_$a 0        (  ( 	    (_$a 0        (  )  $   )yD   %ԀF !b  	0   *g=0 f        sSigmaX (-00000.00) 	0   +g>g`0 f         sSigmaY (-00000.00) 	    ,g 0         (  ( 	    -g 0         (  ) 	/   .g=0 f        sTauXY (-00000.00) 	1   /g40 f         stan2theta -00000.00 	2   0g40 f         sAtan2theta -00000.00    1Xga  	 wsF  	-   2g40 f         sTheta -00000.00 	Q  3' ?    sigmaX _parent sigmaY tauXY thetaMaxShear dXX aTan2Theta tan2Theta Math tan tan2theta atan2theta atan2 sSigmaX ( 0 ) formatDecimals ( ) sSigmaY sTauXY sTheta 0  stan2theta 0 stan2Theta -Infinity +Infinity sAtan2theta     N  N  N  N  N 	         I D 	     	 !	@-DT         	R c  
                        R     	 !	@-DT  	         I    1 	          R G G 	         I    1 	         R G G 	         I    1 	         R G G 	         I    . 	         R  G 
	         I    `   `yH    >   
H     	    
     R 	         I    . 	         R  G  %  @'

P &7@8Ksd  .@'I    ?`Ď    @LI@  @KP~@  @8MPP@	  @8MTP@
   $   @DO@    @8MJ߿@  @NO7@  @V_@    @8M\@   @8MO@ '= (j  .@']?@ @ @ @ @    @8MsP@ @ @  )  *   .@'g    @NgX
 +  @'k? ,?  -ȍ   @MsP  .@'}O .`G`@ @ @    @8LI@ @ @  / &@'d$@ @ @ @ @ @   m@ @ @ ! &7@8L=WP"  .@'(W<#    ?3($    @LI<@ @ @ % 0 &@'d'<@ @ @ & 1  @'{ @ @ @ & &@8NRv@'   ?Phr( 1  @'{ @ @ @ & @8NRv@'  ?Phr(   @8NVHs) 1  @'{ @ @ @ ?    * 2 &@'\s@   (   6| 3
Ns eqnOrientationMaxShearStress @ @ @ @ @ @ @ @ @ w ?    s  w  @ TtsP| @ w { | 
   sign of tau max w Z @ TtsP}   4x e 
 f@x `ĔЀȋ(`ǔ `Ѐǔ `Ĥ`ȋЀ` `v `Ѐǔ `(໤`(ǵ( ``İ`ǔ `̦ǔȋ `̦Ѐȋ̦̦ `  o9 `Ѐǔ `̦Ѐȋ̦̦ ``(Ѐe ` ```` `̦ǈ̦Ѐ`ЀЀ `ȋ `ض`ǔ `vȋ `(ǈ   l o
 ``Ѐ `Ѐǔ `  ǄЀ` `vȋ ` }  S e ` 0   5hPP  	 M&&jm4@jI<@ 	2   6g40 f         sAtan2theta -00000.00 	2   7g40 f         sAtan2theta -00000.00     8Xk 	 sD      9ieR   %>^G     :p+nV  %SV  	0   ;g=0 f        sSigmaX (-00000.00) 	0   <g=0 f         sSigmaY (-00000.00)     =pKoV  %TV  	0   >g=0 f        sSigmaX (-00000.00) 	0   ?g=0 f         sSigmaY (-00000.00) 	3   @g:(0 f         sAtan2theta 2(360.00) 	/   Ag=0 f        sTauXY (-00000.00) 	3   Bg80 f         sAtan2theta 2(360.00) 	/   Cg=0 f        sTauXY (-00000.00) 	-   Dg40 f         sTauNT -00000.00 	}   Eo0           sPostive A positive shear stress indicates that stress on the +n face acts in the +t direction. 	  F6 ?9  $ sigmaX _parent sigmaY tauXY thetaMaxShear dXX tan2theta atan2theta Math atan2 cos2Theta cos sin2Theta sin tauNT sin2theta tauxy cos2theta sSigmaX ( 0 ) formatDecimals ( ) sSigmaY sTauXY sTheta 0  stan2theta 0 sAtan2theta sTauNT sPositive The negative value indicates that shear stress on the +n face acts in the -t direction. The positive value indicates that shear stress on the +n face acts in the +t direction.      N  N  N  N  N                         	R 
     R      R            G     	 !	@-DT  	         I    1 	          R G G 	         I    1 	         R G G 	         I    1 	         R G G 	         I    . 	         R  G 	         I     	         R 	         I    . 	         R  G 	         I     	         R 	         H    ! +          H    "    #  4B`@ @ @ @ @ @ @ @ @ @ @  5@ @ @ @  &+@8MU4   "@'K/   5BĨ  @M[/ @ @ @  6 &@'f/ @ @ @   7 &@'f/  8 R@'PK@ @ @ 	 9 
    @    @8L Z    @8L)Z   @8L6G2  @NK2    @'Mà  .@'\̀    ?bqǀ   @8Ml̀  @y!  @8M~!ր  @8NAu   @'Cs   E@'Lxs    ?OHq  @\&    @8LiF  @Nqj  @@!    @8MF   @8Lr@ @ @ @ @ @  :      ?*@! ;4f"  @:MkY# <@MtY$    ?lB@%  .@'#@@ @ @ ! #  =! >[D # ?@MtY&    @'\Ȟ' @1= @ @ @ (   @8M+@ @ @ ) AQX@ @ @ ) )    @'g, * BX + CQX@ @ @ ,   @8N] @ @ @ - Dі@@ @ @ @ @ @ ?    . E#`@   { F@p} @ @ @ @ @ @ @ @ @ w ?    }  w  @ TtsP @ w { ?   } 	 thetaPlaneSurface _alpha initial_geometry gotoAndPlay given rotated_element _visible SetupTheRotatedElement highlight_hole    d   O	      R  d   O  O d         =   O 
	   finished C   Gh@   
- fIU,fQ%E!L bUFTx=2Jc0M7S$ [ Gw Z @ TtsP )   HhT`  
 fY8VV?P { HX` E   IxFE݀ f tH+K\#<Oj OREt@)`+zPb: | I '   Jhф  
 fjhu  }}ȳ } J,   hUD~  @e5    @8Lr   @8MA!     @'La!   @e    @8Lrj   @8MA@   0@'M@    @eׯ    @8M7	    @8M;	   @8MA   0@'M  e怏   @8MAx    0@'Lbx   @nCP    @8NrDJЏ   @8Nv`H@*   K`<$ 
 	0e4( `e	p̈́  K  @'~(H@    @n_     @8Nq|f    @8Nsf   @8Nv`eP-   LhP\  
 
,4e8< `e	p̈́  L 0@'{eP-   MhQpP  	 3ff1݉lz@ƻSu*`  M1K0   NhP  	 3ff&= !SJEԩ
@J  N9@ @ @ @ @ @ @ @ @ w ?    w  @ TtsP @   