FWS x @  P  9 C3ff  $1$d7$xRinzAQS8p3OFsfeP3Xb3.   $1$lM$fc.3viusp6klcTS5yT9.J1 ?   ?  percentLoaded this getBytesLoaded getBytesTotal Math floor %  HowMuchLoaded   o            R          R d        R c    H        G ?             HowMuchLoaded = ?   rΡ Đ 3 $Wkk/a,40obvKJMen.wd,H)q7Q*RR@)G\m=ٞ_l7Hu	7XR 
ɺ&T.םY9ZЄփl鳤4NMwCKL|DJ=aHnIpJNI(!&H !=Ҟ3\rk{Z4[]0 \Tvj֛ƴ#im=nw:@ X)
 G`` y@'	 8~П;K7IJz&*a/NGߺmMǁe1nriLJ |πm(Oˀp0(	H0R՗'lr$FWbFV
Xg
H@+TE7so=v\]c'"rɐ2sTJiO]ZZaLQVp2 $ҀB,tTJ{iü e.xm~    ?    Verdana7 p r    M^m|	4*Ti:v`Y1			T

ZvQ]i5^| 5IBnMoVM?҄+Mh5d{xI>V=I>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 5Iy/<F*q 5M࠷n@ 5HybnQwg 5i{y7Ygbl 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
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t(͖wd=5qn۴֬~Ҧo\u);Pͱ imvZϛ@`KY{D8dPa9[Nbұt0 5IfybnQwgTR{]u 5JVy/<F*q
Or<] 5i ϊyxr\mz\*=T،'`-QKp2l΅}\ I6 XKܛn7@ 5hz[Z]
Ǯq2e7	qܺn9(OL3jPf_YQv;FrVhh),Dmkt9m ja,ٌs9fGU ڪ 5gek~\'/j& |BAB@ 4?ݷnZn|

6phuЀL\8lNmʰр鐃TUk\oyv 5j6wrqݔ=ڽ|)|cqĨ]xX 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 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~$sv᜷ 5j.tc4n~q ' 5lr<1ܠhn<z?.~'Ƀ/Ϡ 5Nn*re޹FKyK[gQ@ 5Ju@R{!O7-^!ְ 5hwPܗf7Qb\eǍp%  5j3|y. !"'(),-./0123456789:;?CGMOPabcdefghijklmnopqrstuvwxyz  ^ZT--rrx?g[^^<`c Xf&`  XT@XT 3Xa;Sg XS9g P$PnͷP X>LQ X8T  XNX  X]T$  XFRT  X*V` XRR` XCT( XNR`  X2TX4R Xq%<  X')W<\XJH   X4V$X4^T$ X_m`  X4ft  X_X`  X+KXUSX,G6X-N X,OX83  X-Nj XUQ3  XP!  _)j XUU3  XU!S  XU}V  XUQ6  X,Rv	 XUSg X-Ng XU=4  X0G X7XQP< XQw<  Xz<  XT<  XQ<g X*GW<  XMQ|   	*    g2p0         percentLoaded 
   $    L |  3ff |}&ze   *! @ ?    ?             HowMuchLoaded =     PBL 	 ̒     XN!̀ 
 ̒     XM!  
 ̒     XN  
 ̒0    	 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 @ $	 i @ 	 i @ @ 	 i @  	 i @ d	 i @ @  	 i @ D	 i @ @ 	 i @  	 i @ x@ 	 i @  	 i @ \@  	 i @ <@ 	 i @  @ 	 i @  @     )@ W  @ @ @ @ @ @ @ @ @ @ @ @ @ ?      @   
  ?  K- Math commaFormatted neo . inputString split neoLen length neoStart charAt - neoLenR noCommas floor FirstBunch substring withCommas SecondBunch , ThirdBunch neolen FourthBunch formatDecimals num isNaN digits cropped round CF tenToPower pow indexOf .0 halves zerosNeeded i 0 toScientific exponent abs log mantissa sigDigs output e       inputString      R< 	         N N<         <            	         N 	R 
I      <  <           R<     ?	         I        	         IL    I >              	         N R< <      I   	                  	         N R<                 	         N R<  G G< 7     I   	                  	         N R<              	         N R<                 	         N R<  G G G G< ?     I * 	                  	         N R<              	         N R<       	       	         N R<  	               	         N R<  G G G G G G<             N NH    G     NG >O      num digits      =  	         J> _         H <        RK<       R< >  
        R<        R K<	     R I     G !    R< " !    N N< #   < " #H    $G ##P        R< >O   %   num sigDigs . J     =   > &      'R      (R	 k@U      R< 	         I   &         & 
        R< ) < )*     )      R +)< &	         I   ++ ,&GG +>O ?1  ^ deltaXY sigmaX sigmaY center radius tauXY Math sqrt sigma1 sigma2 thetaPrincipalRadians atan2 thetaPrincipal thetaMaxShearRadians thetaMaxShear tauMax sin cos tauMaxFlag e ThetaSrotation  CCW  inverseThetaSrotation  CW  thetaRad thetaDeg cos2Theta sin2Theta sigmaN sin2theta tauNT cos2theta sigmaT sSigma1 abs formatDecimals sSigma2 sTauMax sThetaPrincipal sThetaMaxShear signSigma1 <B>pos</B> (tens) inverseSigma1 <B>neg</B> (comp) zero signSigma2 inverseSigma2 signCenter inverseCenter rotationDirection inverseRotationDirection  mohr SelectedStressElement circle_mc nt_diameter _visible construction_details details theta thetaNT previousSigmaX previousSigmaY previousTauXY random round tauXy StressCalcsAndStrings dTemp j ceil i iRandom0 iMaxErrNum iRandom1 iRandom2 iRandom3 sGreek <FONT FACE="Symbol" SIZE="+2"> arguments </FONT> length sSub <FONT SIZE="-2"> wrong0 wrong1 wrong2 wrong3 possiblePoints MaxPointsPerQuestion remainingChoices txtPlayingForPoints playing for   points  StressCalcsAndStrings          <  G          G     R  G 	  
  ?           R 
    	 !	@-DT   ?                   R     	 !	@-DT                       R          RG           H m 	 Z   G 	 !	@-DT                   O  O   	         H !   O  O   -   H p   Z    	 !	@-DT                   O  O 6  	         H    O  O 	 !	@-DT    <	         R<	         R<    G  G<             G<   	G <	 !        "R     #R	 $   	     "R     #R	 %        "R     #R	 &        "R     #R	 '        "R     #R         H !   ()O  *+O V  	         H !   (+O  *)O    (,O  *,O         	H !   -)O  .+O V  		         H !   -+O  .)O    -,O  .,O         H !   /)O  0+O    0)O  /+O         H !   1O  2O V  	         H !   1O  2O    13O  23O >" PassValuesToMohrMC  mohr index 4 4 O 4 O 4 O 4 O 4 O 4 

O 4 
    	 !	@-DTO 4     	 !	@-DTO 4 5   O 4 6N 7N 8O 4 9:O 4 ;O 4 <        O 4 O 4 O 4   O ># GenerateRandomStressParameters   l =< >< ?<          @R         AR     2    	         IL    =I           @R         AR     2    	         IL    IL            IL    >I ^       <        "R          @R         AR     2    	         IL    ?IL     I     "RL           B ?H M ;         @R         AR     2            C= >% SetupFourRandomErrors  iMaxErrNum b DA E         @R O        FR< G        < E GH '  D         @R GGP  H         @R I     FR J         @R I     FR J HI  K         @R I     FR K HIL   K JI  L         @R I     FR L HIL   L JIL   L KI  D         @R D	   ?    H   H         i  D	   ?    H   J         <  D	   ?    H   K           L         MakeHTMLgreek   p  MNO	         NG PG< O QN    I    RSO    NG PG<   R3< M RG> ResetBigX  round j  T 8 O U 8 O V 8 O W 8 O A XYO A Z   O [\YG ]G ?(  96 sigmaX sigmaY tauXY SelectedStressElement e Object sS1 1 s MakeHTMLgreek sS2 2 stauMax max t sTheta q sThetaP p sThetaS mocir <B>Mohr's circle elem gotoAndPlay runningScore txtScore current score:  0 points txtRound round 1 round0 ResetBigX txtIdentifier Math random round StressCalcsAndStrings picture PassValuesToMohrMC complete circle_mc nt_diameter _visible scale_note MaxPointsPerQuestion OneWrongPointsPerQuestion TwoWrongPointsPerQuestion round1 questionNumber answeredCorrectly score possiblePointsThisRound remainingChoices possiblePoints questionsThisRound                                               @<     	=O  
   	=O     	=O     	=O     	=O     	=O  O    O  O  O        R                =           !R @B       "R  <    
                #=         $    %=	 &   $ R $ 'N (N ) O	 &   $ R $ *N ) O +    ,d    -
    .        @< . /        O . 0        O . 1        O . 2        O . 3   O . 4+O . 5   O 
   load_the_first_problem ?a    nH=lc  f & ڬj˦, )jl Z%M5f )m@4SZj   % O. 0     P 	   8 	       @       P 	   B 	       @ 	@       ]C      hqz/#:      hrzP:o#  3ff hrzP:o# 	>  333ˮ] fff  hr=҇qy|nH=+      _t_  <   %n y#      Ulo <   %VsmNp 	        @   	#     ?           @   	9     ?           33`         33` @        _t  < f$yyO	`     ?        @   o, kZ8@   Z8J   #]@ @ ?    @   ??O    Tahoma [Wm/	]
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:Or<X 5kw%Ao]W 5k[y,3nAZϜkvșP  5kwv<c#vA 5hz ˒yxv\mzD\*oʋ9j3JK0LuH-`IK@RYݵm]ބmpFBhIH ,;rw|b5k68O}8`Nĩ!Y:2fF+]pr|.<Kx	Fh))vʗr dli1moe6|U9DJ`
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B	,N1&8Lߙ3yXeP͎Ra ,M)d@H
m>-&\u,V  5MEߴ=w hLnQ91>FFѹ 5f8WOڇ"lMpl
q*JM m\UP)"TX (KUrC8v ;>iUJP.ۼ~r5]`K(ɕmwWy 5ij-з]z.]oc7qE^xN$*1 J_5ɠ]|!z;= Rg SyyYe@j.@mʀ5fed&֯UOUMc4`~|s˗2IyZJ  4iMvY615^p+r/F7`B	5ix,-KW	;8 5ix,}gA8T7-|Q 5gel~\Gzg  #鐏@4ݷn\7n
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߶}'=@Ϙ (Ӏ*&挲2Д>=п]Z_'vz 5k
yWF܀[^Z1D77 5gv%x^M߻~k6%wo 5abx^T(˽]E4٢h6tּ%d )ȹ76[v 5N,⊱9=n.T'um{+  5hwQ-] 5iwr	;ŅT9hcJ)) 5k.yWF3<rF7N֫VU5g*u-Kfd;ɄF S "9is0xj R6S ^KʎRQYB'T &p@g>h ' 4yp:p4T  5f^dJ?}.1֧=JqLiVp_.O뮒JQrm>rF8Ԫ_0p 5g*u-Kfd;ɄF S "9is0xj R6S ^KʎRQYB'T &p^%zpP-W`5'=PB	,P_Lܼ~=ϥ *S)  5fu_H;FP$o,Bl [$ֹhJuN
&mߐq>ؽDw(ܴc,*̀5geu;LLI) * GjPÄ'L R>k o{ݧ#1ȃG֫:d7 '	*Jk̛k4`	(z2iBk݉ 5f^yRnI7n\u$ 5jʌx]*}*  m NqwL :M02 sn W 5jyѹ=(Dq( 5knC]><Liǌs7&|aq>#;` 5Nxے}srcx~cz g֠ 5jx
oEr.W$q#/mp 5iwQܖvWx+ۗ")Gq 5cyWeۂ\	˶x 5c{ywYqD 5e{y^wە혮 5kW,t{ӎYxFe 5jPV+&"e 5fR"wڧ{mv( 5dFHc	 Wʖ]xc]2:?:lI@B3fS6åz;eJ{ 6ۆm̎jv_`T:3FL@',>RԀpF6Rݘ  5hg mNk)wf\ܬrm
'?.U  4$|I(ִ++L?Y0g6K 5h2wRiwk\^nͶ^ 09T( yKiZR\v"5?|U-kzdђk0xDc*w{WB\-yp 5fN{w+r]X~f Ȱ ^ ʔV%=qfUbj@V!؈*\d}w>Kp ' 4K) k_ESL 5e@$i$PU($HsK">}o<mEK]/YG]f`I ^}^tv'' TdIIю] hg@ 5fs'u,I˴+zܽ'bfaG	&Mf6m ڎ} 5i
_Ml;l8vo==4^PM^=}Q4LKբ\`37 |yܧ*͌ mM>3 &Zىֿċp;-x;kX 0)$ 5hf-6 g[w*7V}gI񮟍uIQnTyg⿅];%S	5c޿(}$+ʌw*<?q^ 5dƿ(}$ʎ _6 ֘mOo֘N d @.xg͉nP 5Mif7ZYm7 5c{yXVG{n+5kN 1Ve0lbiE mܨp'cĘq쉒)Cܨp'7aƺ$
`QWҫd+0	ʜV2<s.  5hf-6 g[w*7V}gI񮟍uIQnTyn~U*l@L \n 5dE 		Ʌ .p+jPhP'6	{ pЛDR!]`Z>
ğtRDA(Irj"}Wsn
ȊQ@K& 5h@imNk)wfr@wʣ[@1 狙  Za`
ɀ+nXtDIH|j5i
WGdq8$  yRħ,*L@J{PG>.2>%ɸ  S%W 5"&| 5fTz~FWʏ-WkEZl'\k_A=) 5fNb1vdvZGm 6IMi L-`mp:W&P jIw$b[/Y<nݶf;KXc[P%J I	k]W)7& W#}iQfcV<_  5a:kerg +rc^iPI '8oݘm0 5i6QGVZ)- MX6X'E#!LwǆrW5iFdcA.~Š 5kR1ܣqi^<׹F׮~㈬s*Ѡ 5Lg#=ZroϺ8>7y=beq@ 5i>UDUWsqqvX8 5hwPo27oˏ:D5fd	\ _6}k&E)0#UĠ3!lȚoݹ||>l
Y+6ۤ Կe]*m 8Ϙ9q	ݩ'\P%5f2{y^vӖn# 5LTbbUD/:& %lSe.`sg7/2Z#Lά.
f)Dͤל3kh\jǔ${\zd0Lrb  5Kc֡uGnK#`!dD҉
K=06Z$q^^כjH'I/MܿN uW2kv"FX 5,@rKʠ[rF  5f 9ojuQڽ7dmTJǀOv iwTD]G%a0*ͺ,3xi~B٩-@ 5,@rKʠ[rF  5Hv$DgqR 5hRumneuﮯtIh&vn!vZ-{PyKeʲٙn+mXVt^Bu	*tJc8ôm]2]kJnMЯ?p 5H~㼤DgqR
ˎHqH 5HybnUgVyr<UW7Xm 5f
-_ /wҀ{2[- 5f
w-_ݗovWx?Jo[b7@{2[-& 5g/kv5`7{P 5gf |=$\i@Iq !f 8ĘfcٍO Xǿ;%RA<%p$XȻX6t4PPDə'(z濮A[a L l{1'dKM(6N ,8.5% dN=rO[`ĩ T,v]]}`k_ZcS2Of< P'l@Y!1&8j  /'\ii1ޠ5&dnzk@%ID<`C"b_msKrQ  5q~quj+<vX Pę PRvL8L_1)xt(sHWk}~3!̈4~_jCCpy _۶j-ɶ@, YB7!/ؙ5Jmtd;8Qu)kތ5 5g
/ewKIM & I5FdHF֠>pڑXªrǾuan]wOQܗi``kmk %& ,'D 5,@rKʠ[rF  59~quj+M]ulwnUxǂݹr"wZ5,@rKʠ[rF  5,@rKʠ[rF  5G\;ؐ[;"zN 5d{x)>ć:T5G\;ؐ[;"zN
hwbCl*x8 5d{x)>ć:T=)>ć:T5hYf eG"pi. '& H"fPt 5j;|y+Hn@5n|y"@5g.f' +J}wi't$ؗܛRTִN%"E V24N 5jw+Oߙme8Q]q-IY'8Q->bsfˁ%N 5e]v{@ܹXDCu-2]ֽsk[@3S@Z@4FX+[AzD	>@'ڒ]/ŇO;m R;G5y =}skk/hHCTY6 5KtܮWv7P 5k^@$i$PU($HsK">}o<mEK]/YG]f`I/ۖY&  gl9Bnrf  bVС:f9@ Fu0d_yۥ%=CN`
]IsT]`Z>
ğtRD+OY6\gjKNr8 d> 5,@rKʠ[rF  5e]w=jv TJ\qy\ٍX 5jx
oEr.W$q#/mp+CrxHnY,?u  5cyD%9ovx+9;ݾn1wP 5i
Rkr[TS+4Jk_mbv5wdv\-%זw0L*k7Jk=-%@Tγq !L <U)LEx 5fe!r equ׹Fv+5M鼖WwQv+~L-u[+|yd\6!;PS:km 5iFv2k"Xf1F6Mig'd<6dv8ɶk,'	FAj6{Rv2kU[zׅ֠Yͩ~1@^Ѧ]:/ &%\)@!0bS 5j
x㌞햭;r2ܲln'tmL{G7q 5Lfkc.301.ӆqFp 5g	eJ[@6BTlFLtb	@2ʪ\hIW(R,ؒٙk;l n`v㘹K^?k |#w$Yk뗳mTռzj_y-M%p)@[)~R.fvxlھ+̬yR
{z@M)I@7Z1*Bk?zD)9 ݺ=0뮧.;` 5c.}Ć$jqݻ#Q  5iY-t~,H 0 ,R4ghȎLsͦC5uHnR$1."I*Ғ*mIڄ2
u , ,G'hzh Sg SOu grt gLdY9Ȍ N w9>w9u  5a*m^ crP>rGLi-wX,Y4)JbMTy鋥k/)rrmn)(
h+]1RZ6ɱ- d#?}hk 5Jmtd;8Qu)kތ5RKF2Ԧz0׺td;8  5k..+vȟW 5L7n
f, 5i:uWip 9sGzuu}߃jWOlMp;ݨ4Ga?9<|	  @sf f ?Yܬ $ 8c2Nb2# <<8O]@ 
e}=Qtƻ0l1_^a 5jRhy+&"d 5gVf U:j\iq* ;ƘTe`AXRRlܦͧ*o $rX-NK  5Kݜp_vp uny+ 5feږK-vkq:mF+!Gfh@^YNڽ2,W( 5fnܔ@8lI& --~:lf.RBښ+0HK a:k?*:HS ׶ip 3\bٕڗ׵eX Pt 5f]wژ;0 5ibQ_JuHMun*<q_Ȳ,h}k|+5+5i.y\,طh15 '))qJ}_8 5H'ܧ7;@ 5L:Ar`ɴ,5wD/ZҤ _l .j 5avirP	oaׅqe^he{@ 5h
 n@Hi K/%& =f	OX #Y"<ȏE!֍. ߗM5&#f!r6P 5KtܮWv7PRoFw(7m 5aJierQn	oa߅ܼp Cqn'Q]دbܿnEoFv
ٍn󙉢{@ 5lu۹|bhsK+ʋpK{.ؐlo^p cPY@+ږ]dlHw,}=oJҰ0Hva.Kt̦N 5fnܔ@8lI& --~:lf.RBښ+0HK a:k?*:HS ׶mA̮̮Ծ. R[+Uo{FvvWv+X/3ۑ}+s:g}QݬDu۹|bh 5fw'{.$U䒧sR4$/* JүovcR~;l8-K
Ҁ>̣)iJJ1ۊ>Ee7)0 5ǀ&NTqJ
~hL=I1D?(3]FX 5&N<qL
~hL=I1D?(3]FX 5ff؛k0͇Vqh17(6ȶcr~Q`++~븘ߴ5hfT'pJ }vkK	't$ؗܛVbmD kkPSZR$I`H!X.H+8c]F[I1D?(0ٿhLoB5hjbw.;~ pݼn$7Q юctnP7mm$VW/fq1i 5hi7iSX;F[I1D<)Y 1@%\+2D@`۲Kk	#eP	 }5dMW5/~븘 5N]Uu!P+Pˁ>GpAmɖ+r̉юEsషP\	.;^ 5ij-з]z.]oc7qE^xN$*1 J_5ɠ\#rdFUV`ɴ,5okD/ZҦ Wdv ^eg 3ٹٰ&p0ǘŘT 6Dܨ 5&NTqJ
-షP\	.;^p'ۨ#p? 5&NDqJ
-షP\	.;^p'ۨ#p? 5v&mta[Man]wOQG-~7Q 5h*bw.Ć [Man]wOQG-~7QMˎq 5ۀ&NTqJ
ؕy6P\~aؕݿp2;  5[&N<qL
ؕy6P\~aؕݿp2;  5kv&mta5+l5&_9+~dwP@ 5fbw.Ć 5+l5&_9+~dwP@cMˎq 5gBePlX7Y9	USv3f ߟ2\k6T 0FJWebﷂ#5fVn·ޓLxM2IyZ 5iT'p].lmNI;/06ڈ ֠$HB]V*ܦs7Uyh㛉pۊ 53&NTqJ
U@d.AK&y !L [()@JR?Jbڳ]L{/*:qID1f
UP 0'0 I]|  eebs]P  5I&NDqJ
U@d.AK&y !L [()@JR?Jbڳ]L{/*:qID1f
UP 0'0 I]|  eebs]P  5f&ml歈i+9V\rdfA.M` 0(il?#l*HKE)ju0%Ř+1T"u@ hh -' -tyzAA S SLu@  5iT'p].WkK	't$ؗܛVbmD kkPSZZ]&F /	
vAYʴZ%32	to# )CKe}e<5	P?GZ)L_V`P/|GN)(,Y D@i8k3ϟ4V  8`N`˪   5i*bw.;~ E9n2\3 IL&0 B4QK6SP%f J^Tt⒈bpݼn$7Q P 	s  Ϛ+ 	 ^}\NM0f'0e   5k>;m=[jmdj6O{F_ih 5fu 6\c3 ALf0 Cea'%Vé` *tґg6׃u`heν[˷Ixf M0f'0e r;=惩`BPq-SR;LPחn~u 5&NTqJ
Օv "vD$({Pa_ ]8b]0p4ä@ m=_n.5A&N<qL
Օv "vD$({Pa_ ]8b]0p4ä@ m=_n.5cf&ml歈i+VTcۜ ؒ	@}~tw|.	ä! L =0a 5hbw.Ć *1 DSIVPo>p pĻB`iI&A ۘ{p0]17.;~  5hrژ;0+Wc^O"5xHW2g 5if/ @N޿
	iZl[n.\6Jbc28]x*d.]-_"wfҥ1B]cukSZ 5i D/2VepCI  v>]ݼf3Jit9T 7Sx@H{f ݽJd,.v KD@*ܨ	!fG| *t@( 5d]w;S(+"6t 0~ܩj׀޻&5#i3 #6e3i~:PXPnwmfvwmuIP)#4d r*=H	dce-ًp 5d]wL]y+"6t 0~ܩj׀޻&5#i3 #6e3i~:PXPnwmfvwmuIP)#4d r*=H	dce-ًp 5ez]wػһk0󽇀VDma2
RՋvLkG\[ gMi(Flf3t{G|l)^6up͵㙑ݼT
\RFhɚ 7(Tz.[  5h"mfS'lJ i*ۦГs{b^`;rmIST~Z:ӓք`0XHV ˰
:D CL` ¿nTbo]4gg ZJ2L(^,[(
WMx3mxdwo;U;Rc2JH3@ JREcYKvb 5g.}Ć$:qݻ#Q  d# >r^zL! Λ;8Pٔͥf0Bގb@Rmk3#yکݵ&8C$ѓ4 nP	 $\5f/m@ 5fЖCKKf-. S_*Zu7ɍtk`鳳-%͙L_c/}-+ۦ ns2;^;V%euZ`Yu &A -+P$dz%+"j< r'X6%D *LprII&h ܠ)Q@Hk#)n^ۀ 5j@$i$PU($HsK">}o<mEK]/YG]f`I3;evRIM`K dM[(FfSu {I|q(
WMx3mxdwo;U;L l%+bHJ3= *N0]qA&( Ԡ#)B+ J2?VIM`qtcY2 5h2wRiwk\^nͶ^ 09TH KZRT~ZA^`ɴ,5wD/ZҦ [dv lv,Z3t[L^5).JйW^\ 5e]w;S(+(t FE  _P2N8ԇ4.{Aζۤ[t	nu!xqm ' Ib~r~ FM?ԗюp	fz\g 5e]wL]y+(t FE  _P2N8ԇ4.{Aζۤ[t	nu!xqm ' Ib~r~ FM?ԗюp	fz\g 5e]wk w{ [ 	r	 @	8RH[:nmKh%d{WW ]' ]p 4R_tcF9%q 5h.;}~$
pݻ$7Q [ 	r	 @	8RH[:nmKh%d{WW ]' ]p 4R_tcF9%q 5d:"wڧ{](+W?Tyn~ 5d]wژ;(+W?Tyn~ 5e*#vJk؏u;o:AXrs 5a.}f$tݻ#7Q y\TcQ 5he$[	E pj\j\ ' 6;;pP
ДeIXjj 6߃.oT}s.,5fm'Wt;i:8*PgYd Ǝn2 
e:	]Sc~ep}?ǧ$+ 5hmfS'lJ i*ۦГs{b^`;rmIST~Z:ӓք`0XHV ˰
%mܨp[5&ƺ~5%DNQWҫdu2q 5d]w;S(+'tP PP " "	{ig ] ]	ɛH -2~5%଼IE/t@J@4&2*K@kWEw6@N^Ra] 5e]wL]y+'tP PP " "	{ig ] ]	ɛH -2~5%଼IE/t@J@4&2*K@kWEw6@N^Ra] 5e]wk w{ [@aBra@  ڔ'.	}vt&g&l  TzX<' i(bJ% rȩ-_yۤB"F;zeIv 5h^mfS'lJ i*ۦГs{b^`;rmIST~Z:ӓR&D0	 $+ eidΊ 

 \Vԡ>Сu Ow m6 7c93` COƺ|>I@3Q(&EIhjȮ"0(	/*L+ 5g.}Ć$qݻ#Q [@aBra@  ڔ'.	}vt&g&l  TzX<' i(bJ% rȩ-_yۤB"F;zeIv 5CPJJ)[Mnw,Tmh 5h eZÙ@ "	m;in@yBnrf ڔ]v
mRk]PZ=ğdH<èޥɞx
R:D_E5]mKɭMjHZ 5i6QGVZ)- MX6X'E#!LwǆrW.;S( 5i6QGVZ)- MX6X'E#!LwǆrW.L]y 5fVk؁ޖ<K1w/&TcQՅ-$֊KhV ieͣ-I,8QmH)B("gu᜷ 5h.}Ć$۟ʌw*:Imj,r%i=Ň
-	@%9Ed@ֳ<3:qݻ#Q  5g~]wژ;(+I?_MY/>ew7GePn- 5h@imNk)wfr
7(Tkhf TTs  L?Y0w>ܹ)Q/@0 5i>UDUWsqqvX8pݻ$7Q |ˎq  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~  ,_F F@@OttFFFDvSJs~OF/e`5ti5xQkN~~F   /& ~  /r ,_/FF((/t/((DvvvvFeeeeee````5555{xxxxxFxNN XL"t`  X@6X?a`  X0LZ`$X+g  X<X753g X(3Sg X@FpXa\ WPnWI!<  X;>sQ X'L$ XbIX  XLM$  X4K  XN` X<K` X1MT( X;K`  X MX"Kt$Xb"w<  X&7<\X[[XpZ Xj]X8C$  X;m$9_X`  XMT4`  X"Qt$XM\`  XMH`  XMH`  X"Wt$ XMXT`  X/8`  X7` XM[T`  XMG`  XMh`  XMYt`  X"^t  XMQT`  X"^t j XM_`  X%N( X Nt`  XCVT` _Wt`  `v  _Xt`  _W`  XMT`  XS1b XaC3Q XD/b XW^cX _R VX2꿀XDXCMSXAXHS XI6X5S  XHVj XCJ3  X>  _&3j XCN  XCS  XCrV  XCJ6  XK	 XCMVg XHVg XC74  X? X4X?I< X J7<  Xq<  _M<  _I<g X@w<  XGSb Y 1b XELSb XD`K Xp   _Mt$Xp   P,nDXOT 2 P0nDXVu|  XTGހXTGހXE=r꿀`4`  pX@+ X"~`  Xp   `V   Xp   Xp   _sX0$_8X0@SXRGV _Q| _t| X=>j X+gtc< X? X[.v X{V	 Xp   X@r  _W   XL"t`  XKHT|ZX<K$  X9J6XPT`  Y 1b X5KT b XV:ڿX+q 4X$94#q X@N Xa\PnWX+q 4_Rh X?:#MXa\  XY<'rXV;'xX7꿀XCK<g X!It`[ Xb"w?IQ ~ƠXr9t[rX2@T#rX[R `)" `$" `#N X&A`g   g   _X  _X  _X  _X  _xt`  X"Qt$j `&.   `&.   `&.   XMH  `   `   `f   X/8  X	^`  XMYp|  `  `  `  X"^p| X"^p XwZ6/X"^s`!  `!  `!  XCVP _W  XMQT`  XCOSXDXDXDXDhXDXDXu6XAj XI2XI2XI2XI3X!  X0'  _)R  _)3  XKӸ	 XCJ3h  XK	 XK	 XK	 XKh	 XK	 Xa\  XK8(X?I X?I X?I X?I _Ig XCMSg _Ig   	+    g"1 f         sStress -00.00 	     ?   +  dStress sStress  Math abs formatDecimals   	         I    9         R	          R   @@@ @ ?    @    "    m!o  f pr<(      m{T'
  (    % ? 	&     ?       @ @ @ ?    @   	     ?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 
	   no_plane       &  @ labely   ϝ
      &    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    &-  @ OdynSigmaX    &/  @ 
	idynSigmaY    &1  @ LUdynTauXY @ @ ?    @ ?    
   with_plane F3  u` 6    64    plane @ @ ?    @      6   ŀ  4t elem 8    "   ! lƙ1r  ff Ŝrf8   " |=w3   f%8~s|>_9/_`/0Ay0|<z|>s|=~p9}_2@/ Ay |<|bX>r|>Q^:@( _pΐ/>I  f%47A0o p/G_ ,` PgAPo p.|` Pgk p.p~` Pg p.c` Pg p.W~` Pgr彀Axo p/v[ Άo` Pg彀AXo x/jA[ Q` PgxA֨o x/]_ གྷ` Pg@A\_ |A<_ JA_ A|[ 彀A[ 彀A[ D彀A[ |` Pg$AXo p/_ ` PgA p/߾c V` Pg)=A p/?c %彀A[ 彀A[ p彀Ap[ >彀Axo x/_ ` PgAo x.` PgN p..` Pg p.Ǯ` Pg p..` Pg p.` Pg/ p.r` Pg/ p.` Pg/ p 	$   #  ?     "  @ @ ?    @       $ |<G 
  ( 333%  ~x     % o )]< ( 333% /H   ;   & ]" < f 3%z>Y{U,,KZI?Ui	P ?  '  Symbol   5Ci5K$acxٰǿ|܁08P&oNas\ 3曛^Qۄ%B	2&˵ @cP	]Z*ܶ-Y-`b 0i,R'#).8_&C 5ge JtNt  mqfm笷aŲ0S60dZrH@. Lpd 
Žl%Tu)%Z */yxػNI	oLu&ZCv`a4#d.L6 K4{ " 5LN@	0>%uvL5	lZ]%(E%&M,O #b MH7}mb]& (e0i8	Km
dJՀFD@&lR`	 2eT@Y;za.esז]Y@[f3X ڼ* 5JtWd '6+knCu_0'4deIX&7<,)	b܄:ퟄᶥLr9)|iJ3L4;vvt( 5bf;{ri.If$@Nrv
ȕ3X Br  יQ ZiqFnk
iVcp RZ"Բ: sɀeP 5I`m@If/6A vf" RB@TLp%+ےY
&(4 EC l`	 --& .Te 5EtWznY@,JCX	 eED{qKpܛ@S7Vn 6]t+Ի1,<7  abegqst  3kX*Nx X<BlPHàxP DfX,>X'KجP*`x     ( Px 	' jh 	F   )  ?     %   &    ( ř7Td@ @ ?    @      * Pѐx 	' jh ?
  +  Tahoma! D F c    />L^V 4LNHc6	N	 5-ܿebkf_a*1!8 5b{xime{q-?U 5b{xIo 5c{vV[	mln#ԩR VGI}SS2;$ȲWb:jpe-b` 5aʧdÜNN<6sK>nMʞyҧv$W3	\ VL]m7maZ 5/[+ 5J=๶ix 5-{urx 5e{yYW̑EM` 5D&`SIB Q͕E`%R MfQG^xͲ\+ %Syx38/M4(5}y8l:uF  5ao&M $&yTe3ٴC 5g Y{%n/5mW[Ux#]UUȔp$j/]}:y(>5+2+fZS\q &h ;8x 5ge l.7%#EʏE(@JRUR#-"Q@mO;{veSڕV5#+TTT,t&W'Zԭ[d0	U`@$y0IntrkG]bȭiPqkWՀS
<VT& 5Jax̿6\f6vT6)P 5gַ,6u*UR)* Cmܻ
)pNZ%# /,Ζ>$X؎dx6TD*)DbP;gYJ퇍_k߅<ʸ 5fu59ޯΗ/=2ܪO_0c.yrR%8W-moMy7US
YLS2JLoRS &J=yc2,kb&W՘TPaHeKp 5h*-̪	fo 5ge q1s̂<DY1	X,h3]L K >߃qp.)JҠ-N֥hy+2&?b  cP0VEꄲ]=-)#R2|ee!t)@N~[ Jeu͸7L g0!Id>+	LM(
[˻,̀ 5gC ewNn-yjzl1ukf!uy/8%6{407f#)*oJ~ݲܸ *#*'LR,
xPZD`mmE/C{f ZyhKʆ?\Y6` 5/urwGrwG 5H(Ea3Nau 5j'.͇")Pj'<]}DS 5`r/fjT<30٤f
Ҁc4e;in_ebvѵ^T
쑹QY%8	g Gm*C}}` 5fR{vXV}v[]a;e-r*o-')OWUz ڒsv
h\?3\ kͮl 0 w_Kw~_@ 5gx^
l$8;l;gKT3[z`${TkXhZ崆	mj{`<JJCjS^6|RzFa`# k1L >a00@'*nGpٻp:5 5bv%vgXAX\bl/ 5e2fR /7jآᰶ]k]{Kl\=Qr-WҪdv.  5gyW-tHdPcO / \
dNBrd.,*S␔5 U5 1@j*	wʛy6: 5eX/M^im F[d/!c6(nʜ)&*m iX( 5eJe^--LJ	hN\ '2d&EPkl2W$@ x^\FmB,8?2d@̑'[{K3F`M(˷}.+{RL:3/m] 5a*wk۪nvO	 +2tBk3\ГYjͫCeAٲ~ 5gyQv)jR[%( %Fitfb^V@G᥶SRkHb)1I@J}؃'  !"'(),-./0123456789:;=?dginqrstu  @T 6t6//////////jj66 ;6qW; XrT`  X9,S X5 X6,sg X%*Sg Hr\PZѷ@I}r  _-Q X*@$ Xq;T  X7@T   X1>  XB`  X>?T` X+A( X2AT`  X%ATX"@$Xz7H  X="WH\X`Q8X79$  X>S X>Wj X@tL  XD?w  X>Wg XD-H  X"6 X*X@>H   	;   , g-'`1+             gridscale 1 grid sq= 20 units 	.   -    s{X , DP@ @ ?    @   	,   . g)Ѝ1             sString R=00.00 	   /   . @@ @ ?    @    J   0 mhĺ  (  3f%A+V  +< )jA zA_ )|@_+ 	$   1  ?     0  @ @ ?    @    =   2 mBUN	     \ڳ'2 *0 ̳66̋%W<I ?[   3 e&0 (        mI
 AAPQTU9ؖ*?Vbc 	g}?u]fY Yin 	   4   3  @ @ ?    @    6   5 e-       ;,1u D(t, *B^+ ?}  6 e     M  f  s  Z  @  '             @W{6Ŷ@L?0w"`MHV<DLǎ=\}k\F++ֶzPCڏ"mav[Qx$G=Bn3k{Fg#Le	]F%p7R~-}ͨlpQͽ[yzCL6s}ئG\)Qi* 89kiҼ'gkx`ExtuԘdyVsjn<E6 su`9qp1գ8kXcC/~SZ`幱6;<ٳzjC 	  7  ?    
   static F 5    6   @ 
	   sweeping  n<` @  gugw @  Jr @  SNƂ @  œZɭ` @  *mՔ @  rԅ+| @  D".E@  J;@@  ҽ$ @  m^V @  Ţ %m @  elm;Ic @  ƎcŨi+ @  QSRV @  c_%m  @  jKRU V @  u_0' @  3 @  ~( @  ƽ^Ō9 @  z=NK#Zo @  D"L  @ @ @ @ @ @ ?      @    =   8 mB     ?f¡˙+P	#QFnf $` eTdw/  ?[   9 e-          mFWA 4A@QT+ؖ*?nbbg}?ً!EvfYVjtz^ 	   :   9  @ @ ?    @       ; G  3ff%
  	$   <  ?     ;  @ @ ?    @       = mM#  ( @SEkt	UdQ@]1FNH" *%jH][om '^ FvI]`'d8Ȣc؍AaFJV%jH]YX`    > P	 	 fv 	,   ?  ?     >  @'	L@ @ ?    @      @ PՉ
 	 fl 	,   A  ?     @   @'	L@ @ ?    @   	<  B  F 2  @ @    & 4   @positiveThetaArc F 2  @ @
     & 7   @  arc_sweeper_positive F 8      & :  negativeThetaArc F 8      & 7  arc_sweeper_negative    & < @   radius_target  =     . ?       ? x_label    . A W@      ? y_label @ ?    @    !   C lVd  f3f |ǅp^     D mM#   (  @SEkt	UdQ@]1FNH" *%jH][o;mAHY+PdUUG V:ܟeW\`%dS$H,	0s˖`r    E P
        	'   F  ?     E ·@ @ ?    @      G P( 	      V 	'   H  ?     G @ @ ?    @      I P͉ 	 L    J P x 	 /  	:   K  ?     I Ŷ%&n J Ŷ% @@ @ ?    @      L P0x 	 /  	:   M  ?     I Ŷ%&n L Ŷ% @@ @ ?    @      N P, 	      X 	'   O  ?     N @ @ ?    @      P P> 	      X 	'   Q  ?     P @ @ ?    @   	  R  ?e  a 
 _parent SelectedStressElement label_1 label_2 this _rotation label_s1 label_s2 label_n label_t  ShowAxisLabels      N	         I  	   @#	   @#    A N#    A N#	   @ #	   @ #	   @ #	 	  @ # ?   N    I  	   @ #	   @ #	   @#	   @#    A N#    A N#	   @ #	 	  @ #     N    I  	   @ #	   @ #	   @ #	   @ #	   @#	 	  @#    A N# 	   A N# > 
   static_axis ?             ShowAxisLabels = F C    D     . F W@      &@  label_t "   . H @ T`      &@  label_n    . K W@      &@  label_s2    . M       &@  label_s1 "   . O @       &@  label_2 "   . Q @ T`      &@  label_1 @ @ @ ?    @   ?@   S _<_ 3ff M TgTʸz" " r;IEG&uO-  	,   T g$Ѝ1             sString 152.75 	'   U   S   T Ȩ @ @ ?    @   	3   V     & U  2@ R theta_text @ @ ?    @   	  W # ?Q   xy_diameter Rotation_of_xy xy_diameter.x_label _rotation xy_diameter.y_label nt_diameter Rotation_of_nt deltaTheta xy_diameter.positiveThetaArc xy_diameter.arc_sweeper_positive xy_diameter.negativeThetaArc xy_diameter.arc_sweeper_negative theta_target theta_target.theta_text sweeper_flag arc_sweeper_positive _visible arc_sweeper_negative gotoAndPlay nt_tween_flag tween_n tween_t 	     A    #    A  N#    A  N#	    A    #           H   Z   H G 	   @# 	   A#    A#	 
  @ # t 	   @#    AL# 	   AL#	 
  @# 
   A Z   #    A Z   # 	 	         H    H G 	   @ #	 
  @# 
   A#    A# t 	   @#    A Z   # 	   A Z   #	 
  @# 
   AL#    AL#  	   @ #	 
  @ #	    A G#    A         N#     I -    N O   N  O j   I -    N  O   N O (    N  O   N  O         R  I  	     R E   I  	     R          R  1     & B  xy_diameter    & R  nt_diameter    &A V theta_target @ ?    @ ?    
   angle_to_1 F/ 8  2 '   >0 : C2    30  ArcBelowAxis F3 2  6 '   >4 4 C2@    30  ArcAboveAxis    67 V C3@ thetaP_target @ @ @ @ @ @ @ @ @ @ @ @ ?    @ ?    
   beta_angle F9 8  < (   >: : &gI  3`  BetaBelowAxis F= 2  @ (   >> 4 &gI@  3`  BetaAboveAxis    6C V 34FfB@ beta_target @ @ @ @ @ @ @ @ @ @ @ ?    @  / 0 3 4 7 A ?    
   beta_arc_only @ @ @ @ @ @ @ ?    @   	R"  X 
 ?  ` thetaRad thetaDegrees cosTheta Math cos sinTheta sin rotatedX localX localY rotatedY dDeltaX radius grid_scaling GridScaling dScaling dXOrigin center clip_x d1 log d1sign abs d1int floor d1frac dLog g_scale pow gridMin gScale gridMax s1 s2 revisedOrigin revisedXpixels originalXpixels gScaleFactor deltaPixels sSigmaX sigmaX formatDecimals sTauX tauXY sSigmaY sigmaY sTauY index angle_to_1 circle_mc gotoAndPlay beta_angle beta_arc_only index =  thetaPrincipal =  thetaPrincipal ArcBelowAxis _rotation ArcAboveAxis _visible thetaP_target theta_text sString  showing arc above axis tauFlag BetaAboveAxis BetaBelowAxis beta_target betaAngle sigmaFlag Rotation_of_xy SelectedStressElement arguments length Rotation_of_nt thetaNT theta_target nt_tween_flag sGreek <FONT FACE="Symbol" SIZE="+2"> </FONT> sSub <FONT SIZE="-2">  sS <B>s<FONT SIZE="-2"> subscript </FONT></B> alpha theta alphaAbs signAlpha beta eqn_sigmaN round 4 Rotation_X_Component  localX localY thetaDegrees x   	 !	@-DT    <       R<       R<    	G< >4 Rotation_Y_Component  localX localY thetaDegrees    	 !	@-DT    <       R<       R< 
           	G< 
> ScaleTheGrid  radius A 	    J<     =<	    < >& ShiftTheGrid  radius center clip_x A 	    J<               G< > GridScaling  radius 	    J<      R	 k@U	 SD?~<    < 	         H         R      R<  <         < 33?3333H       c    ?    H   ]? CW 9  33?3333H   D?yP             G  
       R< >H MakeSureGridShows  center radius gScale gScaleFactor originalXpixels v	 <         <   G< ! < "        < #$< ! H r  ""  " #    " #   G ##    % d    ! H      H m  "" G " #    " #   G ##    % d   G   H  &$ #< &> InitializeStrings    	 '   (     )R	 *   +     )R	 ,   -     )R .           +     )R > BetaArcs  index e
 /    I  	 0   1 2R m  /    I  	 3   1 2R ?  /    IL   /    I  	 4   1 2R 5/G& /    IL   /    I ! 67G&         7H   1 8N	 9   7O 1 :N ; O 1 <N ;O 1 <N 97O 1 <N =N	 >   7     R         )R ?GO 1 <N =N 9        7O . 7	         H   @& 1 :N	 9   7O 1 8N ; O 1 <N ;O 1 <N 97O 1 <N =N	 >   7     R         )R ?GO 1 <N =N 9        7O <  1 :N ; O 1 8N ; O 1 <N ; O /    IL   /    I R         AH l 1 BN ; O 1 CN ;O 1 DN ;O 1 DN =N	 >   E     R     )R ?GO         FH <  1 CN 9EO 1 DN 9E	   ?    O `  F	         H G  1 CN 9        EO 1 DN	 9   E	   ?    O 1 DN =N 9        1 DN 9NO  A	         H v 1 BN ;O 1 CN ; O 1 DN ;O 1 DN =N	 >   E     R     )R ?GO         FH P  1 BN 9        EO 1 DN 9        E	   ?    O V  F	         H =  1 BN 9EO 1 DN	 9   E	   ?    GO 1 DN =N 9        1 DN 9NO <  1 BN ; O 1 CN ; O 1 DN ; O  /    I          AH  1 BN ;O 1 CN ; O 1 DN ;O 1 DN =N	 >   E     R     )R ?GO         FH <  1 BN 9EO 1 DN 9E	   ?    O `  F	         H G  1 BN 9        EO 1 DN	 9   E	   ?    O 1 DN 91 DN 9N    GO 1 DN =N 9        1 DN 9NO  A	         H  1 BN ; O 1 CN ;O 1 DN ;O 1 DN =N	 >   E     R     )R ?GO         FH P  1 CN 9        EO 1 DN 9        E	   ?    O V  F	         H =  1 CN 9EO 1 DN	 9   E	   ?    GO 1 DN 91 DN 9N    GO 1 DN =N 9        1 DN 9NO <  1 BN ; O 1 CN ; O 1 DN ; O <  1 BN ; O 1 CN ; O 1 DN ; O PassVariablesToCircleMC   ' 1 G7O 1 HHO 1 ;O I JN	         I   1 KLO 1 MN ;O 1 MN =N	 >   7 L     R         )R ?GO 1 N        O B I	         N I D  1 K7O 1 MN ; O 1 NI	         NO   I	         N IL   I	         N I   1 KLO 1 MN ;O 1 NI	         NO 1 MN =N	 >   7 L     R         )R ?GO > MakeHTMLgreek   p  OPI	         NG QG< I JN    I    RSI    NG QG<   RT< O RG> MakeHTMLs1s2  subscript   UVWG XG< U> PassVariablesToEqnSigmaN   	 Y   Z 7< [Y     R< h  [H o  h  YH   YY h   '  Y H   YY h  G [Y     R  Y	         H   \   <   \< ]A [	         HL   Z   [H ,  ][ F    A        \   Z   [HL      [H 2 	 ]   [ F A        \      [HL     [H +  ][     F A\ J    [HL   h  [H # 	 ]h  [ F    A\ E]J ^ ]EO ^ FF     _RO ^ AA     _RO ?    F ! .6N     . #   ?@i @ grid20pixels F ! .6N   $     &	 )   @f  tau_axis  * ś45~"   & - $ scale_note    &U / ]= txtCenter    &W / 7DtxtRadius @ @ @ @ ?.  ) radius Math abs _parent scale_of_grid GridScaling dScale ScaleTheGrid dXOrigin center ShiftTheGrid tau_axis _x grid20pixels DeltaPixels MakeSureGridShows gridscale 1 grid sq
=   units thetaPrincipal txtCenter _width iDigits sString C= formatDecimals gotoAndPlay localX circle_mc xy_diameter radius_target localY _y rotatedX Rotation_X_Component rotatedY Rotation_Y_Component txtRadius R= scale_note PassVariablesToCircleMC        R	 ư>H      O      =      =         	      
=	     #     NH       O ,   N eH    `O   @d   #	    @#	   @@#      	    =	      # G G         H ^  -   H #               N#               #   ?# q       R -   H               #                N#   ?        # 	     R   H       B  '  	     RH                    	     RGO        R  N N N  N N  N	 !      "=	 #      $=       R   H       B  '        RH                  % &       RGO         H s  -   H 7 	 %    ! % N#	 %  ?#    # % 	 %    !#	 %  ?#    # p       R -   H ! 	 %    !#	 %  ?## ) 	 %    ! % N#	 %  ?##       % R	 '  @# ' O         (=        R 
	   complete    6 W   circle_mc @ @ @ @ @ ?    @      >9 X ɳlNeQi @  picture  d  Y uw  M-- 3 3f 0_%F[bowk?\o?yQ7s8VS9s@U7{ l7;譡ZI9}BK
oayNR/*kό0Zߊ}koy5߽GjK븃m&Sym@ke{A/<Cܯ=قY/ZTiDG^\U mzh﵇a={s-]õsIo6k΍B86Pgֲc,gzVEk#&I,AC֡nXYvrKt^!e(6Rfnsk>vRÍ:vo5>
O23,<zE(霴*{MhikvkOxW Dz7+:mKtr߈׮}vvT\9ˁݤJ[-{IrCnPvaH,5Av7M@-(ͯ\g8rerw.$BM	IB.A@YvyHjNYfaA޵5*$JO,zrM:
-zT/gQ4hvA\hL4L=*cIIiUsRTWc_jUeYBree^sIO:mʥ|ILR}#;mY}
'?x>W1!>7"*?߸~sA09/eFN8&-iιafgWW^jHdzu[]o5ʹ<PwuۑX#"n#koYm̒K@gT3>׍*mKlɰn8ۮ̢cKe)[B^4ImBcʅIlx힒֊Si	:LH2
A+K~20K_Sws^nMB)0Lr(Z1+/4魫R8sqbCebb֝Q A(adZƒ%Zw֗mRu$2%Dl(aU8):m[}7#  Y hhKas+j    Z ^ @̀ 3 3f  HsjSE7X{=Z	Ok'.ZBbwfތm.1 A޿8>>\u
LM޽5wm@AMqK%GFy
x  Z THƌLWkЊп    [ T 3 3f  JQ RudWOOv:o%{p/k6%X|QRR] k>JUi[ {3u$|TnϤtEKOK};ϭMOM w^\m3(yk_Li2$a`*}oƫ5 7%I  [ 1Lf.I3p    \ U6O 3 3f  Ju<v<fZ@+zIFI2
%=	 6Jk`0UtDCxM_r>tU5X31x(Ooo95H) ֺ|ִuĆbry&P[ ڜ
*Ƣ9{]ך[cd%H5+y7  \ @Sތ+ [ Ŕu[zr" \ <ܞ|_ w   ] Ul 3 3f  ,V!n`~o|[<bӘ[)\*dahoglz߿goJ] ֻ*3^x OoMj  ] 8!:$z!` Z u^h ] tQ:^z  9   ^ TgH 3f OnymrF8
:St4ZG;F|5l     _ Xv!   	 f.5      ` Xv!   	 5      a Xv!   	 35     b  J ^  _    @'
4`    @'
4^      ` a    @'
4    E  round1 questionNumber possiblePointsThisRound MaxPointsPerQuestion        NPO     N GO  b ɀ ` [ƙ w  c > @ Q b s   /S!X+=pL 5e{x>V5I&yy<Kq 5M࠷n@ 5HybnQwg 5jf [FA]JYh^mo-]9I3K8)@Tǲ\z怖`	DFz7ksxoF&y @- ` 5hv!/Ll=qmi 5k֌w\ܠqa9q|VxrVQIu~` 5jw<ܮs@{bn5Q 5fxn^pÃ@ 6Fاqǔtg&$i$j{hi˚,WX:W5{ 5eB )H4֞/۔cjJrmSbZ@AJTdCzߜvSo_m`3~kv'1{vѸ[n$@dՌ $h 5gW -4n`t5Me*	H.@6{k=ssrZOmůڻ*m㏙L c	@Qٞ]z' 0L!{kZQ 5hVd-amքo|5Xa٧r|` \͠fYF+,WY=PY-p&4ϘE'dEP 5k{yK:6G1s\6~XWSJ[3p mP
;PTP;tW(E` 0zc@u箷jN[! 5fN~ ?3 Pށ/dKJҔ3J]؟F	f3l d ˁ5cXg]2/" *9Ǧ}rD@Z=- 5geQ9t/+o+2R.ŖѸgs廀mM>'] 5jݪƲk@󶏿xnA[TGܧ	EⴶMY!-MD6V
{-9w* mW@>/;Dj[0-vkjɳ@ JnFo` 5i)% D&խ"լ\a,J2P&.=#K-'׏풮ɀD 5f{w;˟Ͼ_1s 5NŇK-F}e/ۋ^<hq@ 5e{yK-' 5iveLd{	z%k		f'$ D)kn+tk#XZǕp
ܤnbR@")xr]Z1۔b
-}+{k6J[0  5if*$ FIxn+uk/XJÌxr	KHnR+-*n L TJ 5ifC; h?nd])& k@	i-Fo&1̘9d^%`	R%KR?| c(FLh {|){+.,rO-	 5gU .4n`t5e9@6{KkN_1e@w:{eY Tor[p('4dߣr :kXU 5hzk]_oq_1s{TemYfAm* 5ijّY固X	c:HN Y%41ɚˈ^O׾{VtN^ =Gi vMͭ-k`$LB9W m~ڸ6 5eVy]+,}k@DHFZ_zt~Gk& x׶ŮȭZmB 5kcK>hu1YtBMl6ְWuT|[_F =`lJwEqj 5jxF;>B^']\qX>&<` 5MP#jʳra#wfyeWEUhq *   c Verdana ',-.2IMNUabcdefghiklmnoprstuwx   d xS,G@  c 3fJ5ї :ډRї aRaq   4 iq4qRq   
	RaQ͠ ї4Rqїї Qͱi   %Qΐ FQͱq   @їqQR ї4Rqїї ї4Q4qї   d  @!x     30  d     33` @ ?.   	  picture   scale_note N  _visible  O @ @ @ ?    @  8 9             ?  ` sMessage hidden _visible errorcode gotoAndStop dRN Math random <B>You are correct.  Well done. <B>That's right. <B>Correct!   <B>YES!   <B>OK, that's the way to do it. e mocir  shows a rotationDirection rotation angle from point x to the direction of  sS1 .  The stress element shows a inverseRotationDirection rotation.  is derived in terms of 2 sTheta .  In translating the   results to the cartesian coordinate system, divide the   angles by 2.   Additionally,  angle from x to 1.  The stress element shows a <B>The principal stresses   and  sS2  are switched on this stress element. <B>There is NEVER a shear stress on a principal stress plane. <B>There is NEVER a shear stress on a principal stress plane.  This element actually shows the maximum in-plane shear stress case. <B>Principal stress   for this element is shown as  inverseSigma1 .  This stress should actually be  signSigma1 . inverseSigma2 signSigma2 <B>On the element, the angle shown to the 1 direction is actually the angle to the 2 direction.  for this element is incorrect.  It should actually be   =  sSigma1   sSigma2 <B>Principal stresses   for this element have not taken into account the center C of  </B> round answeredCorrectly score possiblePoints runningScore txtPlayingForPoints correct for   points txtScore current score:   iRandom0 wrong1  wrong2 wrong3 iRandom1 wrong0 iRandom2 iRandom3 remainingChoices no points this time <B>This is the correct stress element.</B> OneWrongPointsPerQuestion TwoWrongPointsPerQuestion playing for  normalN sigma1 normalT sigma2 shearNT elementRotation thetaPrincipal radius center thetaMaxShear element NormalStressN NormalStressT ShearStress RotationAngle SelectedStressElement gotoAndPlay element =        errorcode =  > RespondToSelectionPrincipalElement  hidden errorcode round 
  A  N I   
  O 	         I          R          R 	         I            R< 	 ?H     z  	 ?H    	 T  	 33?3333H    
 .  	 ?H              I S    N G  NG G  NG G  NG G      IL       IL       IL       I     N G  NG G  NG G  NG G     IL       I H     G  NG G  NG G  NG G x     I 0    NG G  NG  G 3     I    !      I    "   	   I C   # NG $G  %NG &G  'NG (G   
   I C   # NG $G  )NG &G  *NG (G ?     I    +      I P   # NG ,G  NG -G .G /G  'NG (G       I P   # NG ,G  NG -G 0G /G  *NG (G S      I >   1 NG G  NG 2G  NG (G     3GO 	         I T 4 54 5NPO 4 64 6N 4 7NGO 88 4 7NG 9:4 7NG ;G <=8G ;G >	         I   ? O       ? R ?  @O A O       A R A  @O B O       B R B  @O   C	         I   D O       D R D  @O A O       A R A  @O B O       B R B  @O i E	         I   D O       D R D  @O ? O       ? R ?  @O B O       B R B  @O   F	         I   D O       D R D  @O ? O       ? R ?  @O A O       A R A  @O  4 G4 G4 GNQ  O  O 4 GN    I X 9H  I >	         I 9  D O       D R D   O   C	         I 9  ? O       ? R ?   O   E	         I 9  A O       A R A   O M  F	         I 4  B O       B R B   O q  4 GN    I   4 7JO *  4 GN    I   4 7KO 9L4 7NG ;G3 PassValuesToPrincipalElement  element errorcode n MN< OP< Q        < RS< 	         I        I   R        S u     I  	 R   S L     I  	 RS #     I   RS          I !  R        S          I   MP ON      I   QT r     I )  MU OU QT RV 4  	   I   M        N   
   I   O        P       I N          SH   RS Z      R        S Z    w      I   MP T      I   ON 1      I   MT O        T W XMO W YOO W ZQO W [RO W \        O       W ]R ^WG _G G& > ?i  ) GenerateRandomStressParameters SetupFourRandomErrors theCircle PassValuesToMohrMC complete gotoAndPlay circle_mc nt_diameter _visible given sigmaX sigmaY tauXY iRandom0 choice_0 PassValuesToPrincipalElement iRandom1 choice_1 iRandom2 choice_2 iRandom3 choice_3 round1 ResetBigX txtRound round 1           =       =             =	     R  N N  O	     R 	 

O 	 O 	 O       	 R      =      =      =      =     =  
   round_1 	x   e g'g3' @            text <P ALIGN="LEFT"><FONT FACE="Symbol" SIZE="16" COLOR="#000000"><B>ab lot</B></FONT></P> 	   f   e @ 	I @      > f  >Pi @   dummy_symbol  1   g 6GQn  x f5p|GY_ /eYbp@ g  ,   h hR  	 3ffjh
n*qܵ>  h  @	J   i og1          txtPlayingForPoints playing for 30 points_    i   @'	A   j w1          txtScore current score:  400 points  j   @'4	.   k g-1             txtRound round 11  k   @'Xޙi   l p/ 
 fjh(eA촟d gxgxg gpܡi g g负gxgpܜg$ip gpܴ  l  @ k(    m @  3ff% 
  	 m   >   n FG  x f%|/Hp  <B 
E;\Ф  K  
 n  F ! ת9A d    6 X 9B# theCircle C  o h_hC 
 fhǀ `v `ǀ ` ` o`(Ǽ `xx`ж `Ǩ .; ǀ `Ĵ`x`p` ` `p `av `ǐ` `e	Ǵ] `x`x` e ` `n\˜``x ` `ǀ `xx `% ``(Ǽ e e o  @ C   6f   f&34I given ?n   p n b         /e*zvf~
eW0"ź6
j* (
?s,T/%N>      % ^# 	+   q   p    @ J7Ԁ@ ?    @   ?n   r nӳ           ef.ڎ~eYW!z*+* h`V?,T0OT>      %cބ8 	+   s   r    @ J7Ԁ@ ?    @    &   t h -}    % u1± %@ 	h  u  ?}    SelectedStressElement axis_1_label this _rotation _parent axis_2_label axis_s1_label axis_s2_label axis_n_label axis_t_label tauMaxFlag   	         I      A         N  N#    A         N  N#	   @#	   @#	   @ #	   @ #	   @ #	 	  @ # ,      I H    A         N  N#    A         N  N#	   @#	   @#	   @ #	   @ #	   @ #	 	  @ # 
    IL   
    I t    N Z   GO    A         N  N#    A         N  N#        IL        I      A         N  N# 	   A         N  N#	   @#	 	  @#	   @ #	   @ #	   @ #	   @ #  t     & H @ H axis_n_label    & F ˋ axis_t_label    & Q @ Haxis_1_label    & O @ ŀaxis_2_label    &
 M @ Haxis_s1_label    & K @ ŀaxis_s2_label @ @ ?    @       v h  v      % O 	)   w   v     &   labely @ @   	9   x  ?           330         330 @   	f  y  ?E
  W5 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 RotAxes SelectedStressElement tauMaxFlag _root _rotation theta_target theta_target.theta_text Math abs theta_text sString  formatDecimals  axisy axis_1_label axis_2_label axis_s1_label axis_s2_label axis_n_label axis_t_label txt1 sigmaXmark _x _y original_sigmaXmark dStress txt2 sigmaYmark original_sigmaYmark txt3 tauXYmark hitTest original_tauXYmark alt_tauXYmark           H 9 	   @#	   @#	   @ #	   @ #    	         H 9 	   @ #	   @ #	   @#	   @# 4 	   @ #	   @ #	   @ #	   @ #         H 9 	   @#	   @#	   @ #	 	  @ #   	         H 9 	   @ #	   @ #	   @#	 	  @# 4 	   @ #	   @ #	   @ #	 	  @ #         
H  	   @#	   @ # R  
	         H  	   @ #	   @#  	   @ #	   @ #        R        R     A        #  O   NO          O        R	    A N	       #	    A N# z?{G     RH    N O B   N	         R     R GO  	  NO         H - 	   @#	   @ #	    A#   	         H - 	   @ #	   @#	    A#  	   @ #	   @ #	    A#	    A#	 !  @ #	 "  @ #	 #  @ #	 $  @ #	 %  @ #	 &  @ #       ' R      R    H - 	 '    ( )N#	 '  ?( *N# ( 	 '    + )N#	 '  ?+ *N#	 '   A# ' , O       - R         HL      H - 	 -    . )N#	 -  ?. *N# ( 	 -    / )N#	 -  ?/ *N#	 -   A# - ,O 0 ,
O       0 R	 0   A# -   HL    H  	 0    1 )N#	 0  ?1 *N# '    0 2RL   -    0 2R ( 	 0    3 )N#	 0  ?3 *N#  	 0    3 )N#	 0  ?3 *N# '    0 2RL   -    0 2R ( 	 0    1 )N#	 0  ?1 *N# '    0 2RL   -    0 2R ( 	 0    4 )N#	 0  ?4 *N#    & < @ h`  sigmaXmark    & < @ sigmaYmark    & < @ KtauXYmark    & < @ alt_tauXYmark "   &	 < @ n  original_sigmaXmark "   & < @ original_sigmaYmark !   & < @ Koriginal_tauXYmark F 2      & q  negativeThetaArc N 8  h        & s  positiveThetaArc    & u  RotAxes    &) w @  axisy /      &0    blue_x_right    &3    @   blue_x_left    &6 x 5 green_x_left    &9 x    e@ green_x_right    &<    @ blue_y_top    &?      (blue_y_bot    &B x  5green_y_top    &E x   ʀgreen_y_bot    &H   tau_positive    &M      tau_negative    &R V  theta_target    &T  ' txt3    &V    txt2    &X    txt1 @ @ ?    @      6 y ff$8x' choice_0    6 y ff$9琀 choice_1    6Oy ff$=H  choice_2    6y fr$=H  choice_3 f   z  
          round1 
  iRandom0   wrong0 )     RespondToSelectionPrincipalElement = z 
x f   {  
          round1 
  iRandom1   wrong1 )     RespondToSelectionPrincipalElement = { >y f   |  
          round1 
  iRandom2   wrong2 )     RespondToSelectionPrincipalElement = | SԁB f   }  
          round1 
  iRandom3   wrong3 )     RespondToSelectionPrincipalElement = } "Sԁ2 ?#   ~ nPB  3ff J/ڔx ڭ ?    d6Ԇ7 ff %](eI@% *ٸfo.q"ܫIEYj'ԋ	km	jYu0Bp[[~G'G 9ԇV2Q3)JU(D2EeD(g'uY^ 	.   w53           sMessage <P ALIGN="LEFT"><FONT FACE="Tahoma" SIZE="10" COLOR="#FFFFFF"><B>0000000 The shear stress txy rotates the element counterclockwise.  The second line is cutoff.   The shear stress txy rotates the element counterclockwise.  The second line is cutoff.</B></FONT></P> ?Y    e-mW 3  IUotS:;|%A{U8zukv{9x\yfӜ&  	        @ @ ?    @   	y     ?     ~        i @   @  ?       >  32+J i @  bigX_2 @   ?    @      6	 @ - wrong0    6 @ b wrong1    6   ?Rs4 wrong2    6 @ R: wrong3 ,    J ^  _    @'
4`    @'
4^      ` a    @'
4    o  ---------------------- round1 questionNumber questionsThisRound possiblePointsThisRound MaxPointsPerQuestion   &   NPO  N  NH     "    N GO    @P NW @ @ @ @ @ @ ?    @        	 
   f   O	?2   round2 Object questionNumber answeredCorrectly score possiblePointsThisRound remainingChoices possiblePoints MaxPointsPerQuestion questionsThisRound sigmaX sigmaY tauXY picture PassValuesToMohrMC complete gotoAndPlay circle_mc nt_diameter _visible scale_note           @<           O           O           O           O      O   O   	   O 
T                     =	     R  N N  O	     R  N  O 
   load_round_2  g   h  @	J    og1          txtPlayingForPoints playing for 30 points_       @'	A    w1          txtScore current score:  400 points     @'4	.    g-1             txtRound round 11     @'Xޙ l  @ k( m   1    FGg  x f% 3B
O.rvHKE     9    TgH  NvqqTuP¦%liF<v7vuk=<ٖ:       Xv!   	 ZZ5   I    ]CDw ii f<<  wq1ڠ hD 0̪Q@o hdfL \{Bn@      `)
8 	 B@W6       I       @'
4           h     J@'
    C  round0 questionNumber questionsThisRound possiblePointsThisRound      NPO   N   NH     $      N    GO   	  N2     6 X FfOD8 theCircle    hC9 
 fhǀ `v `ǀ ` `o`(Ǽ `Ǩ `` `n xx `v `ǐ` `e	Ǵ] `mx`x` e ` `\˜``x ` `ǀ `( nxx ` ``(Ǽ e e  (T   6f   ff3<5" choice_0    6   ff3< choice_1    6   ff3=H" choice_2 V     
          round0 
  iRandom0   wrong0      RespondToSelection =  
O V     
          round0 
  iRandom1   wrong1      RespondToSelection =    V     
          round0 
  iRandom2   wrong2      RespondToSelection =  Ԃ     6 > wrong0    6 ċ wrong1    6 4 wrong2       >!X ɳlNeQi @  picture yY :zZ Hrqs{[ i
vk|\ ,K-ʈ}[ 2LnKЇ48~\ *HJI#s] 	BaM0Yi)Z |}|$&zAˀ] FmLg#|     J ^  _    @'
4`    @'
4^      ` a    @'
4    E  round2 questionNumber possiblePointsThisRound MaxPointsPerQuestion  &      NPO     N GO  ɀ ` [ƙ     x&+Dπ@  c 3f BNaq ꭹR  4Q4 yRї4 Ri     1u Ri ) q۠ їꭐ4a   
	4ї  Q Y4    @y     3   @ `@ ?.   	  picture   scale_note N  _visible  O @ @ @ ?    @    	  e f    !yz{|}~@ @ @ @ @ @    ?  	j sMessage hidden _visible errorcode gotoAndStop dRN Math random <B>You are correct.  Well done. <B>That's right. <B>Correct!   <B>YES!   OK, that's the way to do it e mocir  indicates that a ThetaSrotation rotation angle is required to move from point x to  tauMaxFlag the point at the top of  the point at the bottom of  , which corresponds to the maximum in-plane shear stress state.  This element shows a inverseThetaSrotation rotation.  is derived in terms of 2 sTheta .  In translating the   results to the cartesian coordinate system, divide the   angles by 2.   Additionally,   shows a angle from x to the max shear stress. <B>The stress element is rotated by  sThetaP .  It should be rotated by  sThetaS  =  sThetaMaxShear . <B>The stress element is rotated by - <B>The normal stress acting on each face has been omitted. <B>The normal stress acting on each face should equal the circle center C.  This element shows a normal stress equal to the circle radius. <B>Principal stresses  sS1  and  sS2  are shown on this element.  The normal stress acting on each face should equal the circle center C. <B>The given normal stresses in the x and y directions are shown on this element.  The normal stress acting on each face should equal the circle center C. <B>The normal stress acting on each face should equal the circle center C, which should be  signCenter .  This element shows a  inverseCenter  normal stress. <B>On the element, the shear stress acts in the opposite direction. <B>The maximum shear stress is given by the radius of the circle.  On this element, the shear stress magnitude is equal to the circle center C. <B>The maximum shear stress is given by the radius of the circle.  On this element, the shear stress magnitude is equal to the negative of the circle center C. <B>This element shows the principal stress state, not the maximum in-plane shear stress state. </B> round answeredCorrectly score possiblePoints runningScore txtPlayingForPoints correct for   points txtScore current score:   iRandom0 wrong1  wrong2 wrong3 iRandom1 wrong0 iRandom2 iRandom3 remainingChoices  remaining no points this time <B>This is the correct stress element.</B> OneWrongPointsPerQuestion TwoWrongPointsPerQuestion playing for  normalN center normalT shearNT tauMax elementRotation thetaMaxShear thetaPrincipal radius sigma1 sigma2 sigmaX sigmaY element NormalStressN NormalStressT ShearStress RotationAngle SelectedStressElement gotoAndPlay element =        errorcode =  = RespondToSelectionMaxShearElement  hidden errorcode round 
  A  N I   
  O 	         I          R          R 	         I            R< 	 ?H     z  	 ?H    	 T  	 33?3333H    
 .  	 ?H              I     N G  NG G     IL       I      G      G     NG G  NG G      IL       I     N G  NG G  NG G  NG G     I 5     G  NG G  NG G 1     I J     !NG "G  #NG $G %G  NG &G      I J   ' !NG "G  #NG $G %G  NG &G s     I    ( Q     I    ) /     I 0   * +NG ,G  -NG .G    	   I    /    
   I 0   0 1NG 2G  3NG 4G       I    5 a      I    6 ?      I    7       I    8     9GO 	         I T : ;: ;NPO : <: <N : =NGO >> : =NG ?@: =NG AG BC>G AG D	         I   E O       E R E  FO G O       G R G  FO H O       H R H  FO   I	         I   J O       J R J  FO G O       G R G  FO H O       H R H  FO i K	         I   J O       J R J  FO E O       E R E  FO H O       H R H  FO   L	         I   J O       J R J  FO E O       E R E  FO G O       G R G  FO  : M: M: MNQ  O  O : MN NG& : MN    I X ?O  P D	         I 9  J O       J R J   O   I	         I 9  E O       E R E   O   K	         I 9  G O       G R G   O M  L	         I 4  H O       H R H   O q  : MN    I   : =QO *  : MN    I   : =RO ?S: =NG AG2 PassValuesToMaxShearElement  element errorcode  TU< VU< WX< YZ< 	         I   3     I   Y        Z      I  	 Y   Z      I  	 YZ      I   Y[      I   Y        [ d     I #  T         V         ,     I   T\ V\       I   T] V^   	   I   T_ V`   
   I +  T        U V        U h     I   W        X ;     I i  X UI   WU     :  X	         H   W        U 	  WU       I i  X UI   WU     :  X	         H   WU   W        U ?      I *  T] V^ W         Y[ a bTO a cVO a dWO a eYO a f   O       a gR haG iG G& > ?h  ( GenerateRandomStressParameters SetupFourRandomErrors theCircle PassValuesToMohrMC complete gotoAndPlay circle_mc nt_diameter _visible given sigmaX sigmaY tauXY iRandom0 choice_0 PassValuesToMaxShearElement iRandom1 choice_1 iRandom2 choice_2 iRandom3 choice_3 round2 ResetBigX txtRound round 2           =       =             =	     R  N N  O	     R 	 

O 	 O 	 O       	 R      =      =      =      =     =  
   round_2 	J    og1          txtPlayingForPoints playing for 30 points_       @'	A    w1          txtScore current score:  400 points     @'4	.    g-1             txtRound round 11     @'Xޙ l  @ k( m   n  F	 ! fת9F b    6
 X 9B#& theCircle O   p( >@ 
 fhǀ `v `ǀ ` ` o`(Ǽ `xx`ж `Ǩ . ǀ `(p̻`(ǡ( ``Ĝ`pǀ `Qǀp ` `p `v ` nǐ` `e	Ǵ] `x`x` e ` `\˜``x `  `ǀ `xx ``(Ǽ e c   @ C   6d   f&34I& given    6 y ff$8x'& choice_0    6 y ff$9琀& choice_1    6My ff$=H & choice_2    6y fr$=H & choice_3 e     
          round2 
  iRandom0   wrong0 (     RespondToSelectionMaxShearElement =  
x& e     
          round2 
  iRandom1   wrong1 (     RespondToSelectionMaxShearElement =  >y& e     
          round2 
  iRandom2   wrong2 (     RespondToSelectionMaxShearElement =  SԁB& e     
          round2 
  iRandom3   wrong3 (     RespondToSelectionMaxShearElement =  "Sԁ2&    6 @ -& wrong0    6 @ b& wrong1    6   ?Rs4& wrong2    6 @ R:& wrong3 ,    J ^  _    @'
4`    @'
4^      ` a    @'
4    o  ---------------------- round2 questionNumber questionsThisRound possiblePointsThisRound MaxPointsPerQuestion   &   NPO  N  NH   3  "    N GO &   @P NW& @ @ @ @ @ @ ?    @    	 
 c d   M@ @ @ @ @ @     ?o  ,# TotalPossible round1 possiblePointsThisRound round2 Percentage runningScore Math round txtResults <BR>You scored <B>  points</B> out of <B>  possible points.</B>  Your score is <B>  percent.</B><BR><BR> <B>Summary by rounds</B><BR> i theRound j score In round  , you correctly answered  answeredCorrectly  of the  questionsThisRound  problems correctly, scoring   points out of   points possible  <B>( %).</B><BR><BR> Congratulations!  You have demonstrated very good interpretation of Mohr's circles for plane stress. Good work!  You are fairly proficient at interpreting Mohr's circles for plane stress. You seem to be having trouble interpreting Mohr's circles for plane stress.  You'd be well advised to review your course materials on this topic before trying the game again. myDate Date txtDate toString    N  NG<    d        R< 	G 
G  G G G G  G    <    H   G<     G<  N  N d        R  G G G  NG G  NG G  NG G  NG G  G G G P     d        R  _   H    G 9   K   H    G    G          @ !         "R 
   game_is_over  %    B G  W     &    o__   f%7fa5Y  @ @ &    ]_]([   f f%t#=´tP0 ?    VerdanaK      .s*TKuEs/'C%	J	^			#
~
tr g.k3N7u0H:Xv 5/ܿebkf_a*18 5c{ximf
{q-?U 5c{xio 5dV{vVZn0ln#䩻R VGI}SS3$Wb6jpc!bh 5b^eBżreq  &xe؎ɽvw3	\UL]m7u8z  5I㹨Eza 5L-6ix 5/kurw 5f{yES̲텀 5ggqlZ 1	=%ޗӹO  N4+RJe"YOdU6e%\4k_R7YeΆ  G?| Oz p3 		E8B  5b.o6}ʓ.nWyTce3mٴMP 5h Yzև]'p3m[dvUx 4X`$ʘ$P`k~Z`%Y	r/f^T3	& 5he j.3%#	L Q 4=ʥڮm#FYa,N6<9'+M@mC'R$^^`ci3eZku̘ [* !&YgGz{	DeFٗڿk TE"-*CJM 5L]8
@
D+D7lHv(7e 5h*6u.UA&+ BM	n#Nl;^rgv̾CʤrR$_iP5E.)EbP9\m[mgl5ff CUYڽP&Ta. C"kT@	dZ{ޛW_n	'Em&/ŘdnlkP'e"7TNlB*]?+	ҐZt܋Z
  Rb@
@Q^Xpj$\o` 5i.+̳V	cfo 5ff x9@$(nRcJ;%
Ĕ<,eW20)dĥ 0ZMj48 򀄒tę\xX1ڗ Eș!f3YRRm料ȨY&.,H $ jb@Rٖ]"3X 5fdv ųk)Jxҍ<ڟ*i 0(
э]`.T4&9~\١]jGkvf鏯B%rʹk}ijaFn#&Kl e\A)EЀ5I.GlDnܶRK0lDnܶ7Q 5JN㹨Eza$Fau 5g riw{n#}FmySj1GfBIHdVP-dH%gK"fGɷm޳5L|h 
_ebkf_a 5NR\wջfs!b_~c_o۳&1 5gd]{]<}[@mJF1*Do*JIk,R/&Xf (K]rC8t@-nz@dRmkO{rgnp%Oiy幺]}[dEw` 5f)i[v.`SJDTiWq&H >ve\pf W_t}ӟ6-ܶ R[5pc1~z'<|@^;I%ușaMl>  5fnlQݯҵ$00L<83
S0>bـuR.iCց۔NZ1ޮLX8 5i>x'g<pF+F8 5ix(}֗^pcX 5f PnP "g $I	Ʌk>}Vf)OVj3t&丛zp8љј[ 7!lf_]<`eͶs 5jzyWF)Fpca$]8m͆0 5avm8m͉TŲmll0 5e֌yQ<Xb̀m{ID#{dX${@xd͏  5J1[6k?u;F6XN+LƴW5hvV8"Z1ʤ8@ 5kyWF-㘶xrg*أ~&;=  5jryWF7=?YT-Ms(Il. 5j>.2Ia r`΄t%F& O:m<. ( b2biy@&P @ h+[> H I!&L g9d  S_ M 5fdze=*ma7R$bNPk92[ZK2c\a?-
M'`;NэV WHbUgK\ 5kVfH \ f^%(&B ֵs(qR6^>CP3Y `sMͧ6E s R\L1p]1fz4<ɠ(  ̀4Xa1qH+V}8  !BMo 
rmo즿 8< 5fw2mRs:Z^@4kY2]<w0#Qs7.)F-hp	h5gf @Z@40ib;YfS*,BP
+bgY)ĭ@73`xld<%CS%L g+;#v2;}NM]0~$  ̅]r&mm˾ 5i޸x/nU!;\8/mDﲰ 5jVx[ـ{elFl+	3;elWn`
a(K!LBTZ%KInQJ5jyѹ|hW1ԣ 5k+ϟ.}sbO;k&/16@5jrxx؍sbS	Fq͇.&J]ʹ 5iΌxM
;bqeM&Zά@5jvV9-'3s8$DS~` 5feV)yP R) 6^(bc]cR\$m3:l)@A9fSvjϥ#zg)@`MkI,O5*ZBȽY%`@0:bS ;vin6̈́m 5b{xQiS[U  2q0 ]/&z%Rh{nبAN ,͘4J`	ٷ-%)ks@A#5gZr.Zn& 6D`RiM5iiv̅gz6r.l7fH/e2]ݪ  5h{yXVikNZ&p~.wW&RY%[R;ax.,w$_}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^
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lKl5l5dyQYSgV k\40kuE.I6{6;0VBĶV 5J⋥pn(gv߈ 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
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