FWS  x _    } C3ff  $1$sj$lzL7KYfA6MwhZtbo/RZfQ0   $1$Y2$sUaqQobJY21JPZ0pnQXLR. ?   X 	 dTotalBytes this getBytesTotal dLoadedBytes getBytesLoaded percentLoaded Math floor %  HowMuchLoaded   i            R          R    d        R  G ?             HowMuchLoaded = ?!   r!L 3 RL6.xmp\2 l Qغѧ<>+J) d+7M[x<]:yl6ȭYzz.VP׽nbFwk[ 4aF$B+CrOik@KElт{Kkk,-n%\kMT`
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t(͖wd=5qn۴֬~Ҧo\u);Pͱ imvZϛ@`KY{D8dPa9[Nbұt0 5IfybnQwgTR{]u 5JVy/<F*q
Or<] 5ky,?ZμvȟP 5i ϊyxr\mz\*=T،'`-QKp2l΅}\ I6 XKܛn7@ 5O=^zT+qn
DF2v%'ȝn5fuﶣBS#ZtZۓ{zq*RJU mL/$T\ (˩UC,ta-Hw Ҫ*K7 wherX-~vV]f8 5hz[Z]
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Sh[MC~yh:<p 5ix*MwW
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͢w6\r9f1 A@Q댞#D9(	RCT\ᴥD)/|4eG>9sb 5kf S4h䋉E~?
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 yWTfUFLpYkdk\O[G{S$pLJBm K 5hNf @&C$|#N@Y	K|7jxi
L&(0 M} _Mw߉ϻNVcQ 5wi; &	]{vQ-MEů6Xӗw >dpQ]fsi_ 5jw"crj7#E# 5kx]a&}a*  mnqL @M1	2H ;s W 5l
yѹ)(+A\ťb 5lyF䯎ߞ]g>oF7<Ò "p@  5O/-frYx~wzmѽAjq 5kxG
A@x1~kB&Ƙ 5jwR;vs)ۇ"LGq\ 5dLxWn]wIZI-pB`6Vp!),eԕ3Ųkt]4ہo;W{~Bdl5fJNHI 5 	\c[! .A 5ig@yMRku90nܩmů
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ـ-yؿ ,<A(δ 5hwSZiw4k\3\ lMZ 09TI ַvZnRͳAs[ bwu;ӷL  Xj:r׾A 5i{yXV3V4SX%-rRM4c?b Lp+)Y),Jr0C{Š*d\xnv:kkɷK  S%W5 5eDiȤPU0"yk@ \ѠFXf%=\O ..m|]rP 
*q/q˛$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%  5C}W]*df	@ҦJJ i*kTp	-  5h X=j<I*& >Ę`eُO X̻RTt*1o
򀭗1-pː@  !"'()+,-./0123456789:;=?ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz  ^ZT--xrrxxR?Z/9cgg!@[^^<`cZ Xf&`  XT@XT 3Xa;Sg XS9g Xmau  P$PnͷP X>LQ X8T  XNX  X]T$  XFRT  X*V` XRR` XCT( XNR`  X2TX4R Xq%<  X')W<\X}_ XJH   Xa`  X_[`  X4V$X_c`  X_OT`  X_N`  X4^T$ X__t`  X>>T`  X<t` X_b`  X_O`  X_m`  X_``  X4ft  X_X`  X4ft jX_e`  X7Vt( XT`  XU]t` X`T`  `  X`T`  X]`  X-S`  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<  XoMV 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 @ $	 i @ 	 i @ @ 	 i @  	 i @ d	 i @ @  	 i @ D	 i @ @ 	 i @  	 i @ x@ 	 i @  	 i @ \@  	 i @ <@ 	 i @  @ 	 i @  @     )@ HH  @ @ @ @ @ @ @ @ @ @ @ @ @ ?      @   
 ?  V given _alpha sigmaX sigmaY tauXY gotoAndPlay thetaTemp theta thetaPlaneSurface thetaPlaneSurface.n_axis thetaPlaneSurface.t_axis thetaPlaneSurfaceCoverup _visible _rotation thetaRad thetaDegrees cosTheta Math cos sinTheta sin rotatedX localX localY rotatedY index AlphaValue rotated_element NormalStressN sigma1 NormalStressT sigma2 ShearStress RotationAngle thetaPrincipal center radius thetaMaxShear sigmaN sigmaT tauNT SelectedStressElement commaFormatted neo . inputString split neoLen length neoStart charAt - neoLenR noCommas floor FirstBunch substring withCommas SecondBunch , ThirdBunch neolen FourthBunch formatDecimals num isNaN digits cropped round CF tenToPower pow indexOf .0 halves zerosNeeded i 0 toScientific exponent abs log mantissa sigDigs output e  SetGiven       d   O   O   O   O         R J 	         I F 	   @#    A        #	 	   A#	 
   A#  	   @ #   NO   NO4 Rotation_X_Component  localX localY thetaDegrees x  	 !	@-DT    <      R<      R<    G< >4 Rotation_Y_Component  localX localY thetaDegrees   	 !	@-DT    <      R<      R<            G< >, SetupTheRotatedElement  index AlphaValue  J J	   @# 	         I G   O  O           O  !"O      I A   #O  #O   $O  !%O       I A   &O  'O   (O  !O c      I N           O          O           O  !O  )O        R >  *   inputString  +,   - .R< /+	         N 0N< 1        <            +	         N 2R 3I   1   < 4/ 1 54         6R< 4    ?	         I   55     5	         IL   5 I >  7/            +	         N 8R< 97<  5    I   :/	          /        +	         N 8R< 7/                +	         N 8R< 97 ;G :G< 7 5    I   </	          /        +	         N 8R< :/     /        +	         N 8R< 7=                +	         N 8R< 97 ;G :G ;G <G< ? 5    I * >/	          /        +	         N 8R< </     /        +	         N 8R< :/     / 	       +	         N 8R< 7= 	               +	         N 8R< 97 ;G :G ;G <G ;G >G<         +    N 0NH   99 ,G +    NG 9>O  ?   num digits  @    A=  	         J> _         BH <  C@     DRK< EC     *R< E> FB 
       GR< C@ F     DR FK<	 ,   C HR I   CC IG J,   C .R< KB J    N 0N< L   < K LH   CC MG LLP  EC     *R< E>O  N   num sigDigs . @@J @    A=   @> O@     PR     QR	 k@U     6R< @	         I   O         FO 
       GR< R@ F< RS     R     ?R TR< O	         I   TT UOGG T>O ?l     sigmaX           sigmaY           tauXY           theta                   SetGiven = 
   start r    xS  
 fjh)ZE5p'1H nwъHs) =)"lSY1Y_YGc  {nw?##	 k     @ k(     @  3ff% 
     ?    c 333 333@ 333  3330 333P 333` 333p 333 @(iJ< RAt;W Vd9M}A S@}k(?);!Q
  )QO/@(K X )_k BDup&<ҝ0x p *H\ucO pcp5:;O
QԏV6` im5zS VlAʟ( )``lV TJӶ |J\\ տ[=T  \M=R *( j=?&;Ph"'z(  &)VH@+Ⱦ܆b-yDNjV7C}eJh R@BTdMe UK]Pg `]ou5n IOg|)Mz@
ǲڛ:|d O 9鲸(S9Mx&Ʉ    	,    g/()             thetaInit first    @ 10   
 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?5    Verdana0 b d     =]n}>5_i/y["_'	B	Q		
Z


r8ds 5/ܿebkf_a*18 5c{ximf
{q-?U 5c{xio 5dV{vVZn0ln#䩻R VGI}SS3$Wb6jpc!bh 5b^eBżreq  &xe؎ɽvw3	\UL]m7u8z  5Kl8aOD6T8/Gb 5I㹨Eza 5L-6ix 5/kurw 5f{yES̲텀 5ggqlZ 1	=%ޗӹO  N4+RJe"YOdU6e%\4k_R7YeΆ  G?| Oz p3 		E8B  5b.o6}ʓ.nWyTce3mٴMP 5h Yzև]'p3m[dvUx 4X`$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$Fau 5k3-~͇"QPk3<ZD 5g riw{n#}FmySj1GfBIHdVP-dH%gK"fGɷm޳5L|h 
_ebkf_a 5feV)yP R) 6^(bc]cR\$m3:l)@A9fSvjϥ#zg)@`MkI,O5*ZBȽY%`@0:bS ;vin6̈́m 5gZr.Zn& 6D`RiM5iiv̅gz6r.l7fH/e2]ݪ  5h{yXVikNZ&p~.wW&RY%[R;ax.,w$_}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@+* 5iy]Cϐ]-n%kyī65K-m{[2ėj]ӭ=nw 5Nk7$l{0	2f *cl	@76 M 5hqx e@ 5gzf T:jly* :ƘTePNXRh2+0nʊ	z,}` 5&ǁݖ^[6<w߰!)OO;6   !"'()+,-./0123456789:;=?acdefghilmnoprstuvx  hFuuF/g~bh~n~^^/+F X T`  XT0S XR3 X[1g XJ.g Xi[PnEPѷ@Ir  _5L XEI$ XCT  XQI4   XTG  X'KT`  X^Ht` XEJ( XMIt`  X=IX9I$X$H  Xs)7H\X{YXP>$  X4A X5?WX6DS X5FX"13  X6DWj X]F  XXTL  X^  X]q  X]F  X5G7 X]Ig X]77H  X7= X/XYEH XHH  XHH  X]:W XMGKq XM;+M Xl[tӀ!!'A',,.,.....:ASATAUAVAWAYAtAuAvAwAyAAAAAAAB,B.BTBB B B CCCCD,D.DTDWDXDYDZDF,jF.jF:F;F? FAFT FaFeFoFjFFFFIIIJ,J.JAJJKOKaKeKoKuKvKwKyKKKKKKKKL'LCLGLJ2 LOLTLVLWLYLvLyLLLLLLLLO,O.OTOXOYOZOP,jP.jPAPY
 PaPePoPjPPPPQ,Q.QRTRYRaReRoRuRyRRRRRRRRS,S.SASSSvSwSySST,oT.oT:T;T? TATCTGTOTSTTTaTcTeTgToTrTsTuTvTwTyTzToTTTTTTƿTTTTU,U.UAUUV,oV.oV:V;VAVaVeVoVuVyVoVVVVVVVW,oW.W:W;WAWaWeWoWrWuWyWWWWWWWWXCXGXOXaXeXoXuXyXXXXXXXXXY,oY.oY:Y;YAYOYaYdYeYgYmYnYoYpYqYrYsYuYvYoYYYYYYYYYZCZGZOZZZaZeZoZwZyZZZZZZZZZavawayb,b.bybcTccceTf" f' f)2 f* f,f.f?7 f\2 f]2 fyf}2 ff f fffhvhwhykekokkkkkmvmwmynvnwnyo,o.ovoxoyop,p.pypr,or.oraror r rrrrtyt
 t
 tttv,v.vavevovvvvvvvw,w.wawwwwwxcxdxexgxoxxxxxxy,y.yaycydyeygyoyqyyyyyyyyzczdzezgzozqzzzzzTVWYTVWYA,.AT7 V2 W Y7 st A,.AT7 V2 W Y7 st AIJSTVWXYZavwxyzAIJSTVWXYZavwxyzAIJSTVWXYZavwxyzǌǖǗǭ,.TXYZ؅,.vxy+    `(8  	 fjh
     @	-    g/()             tauXYinit values    @ 1&    XT$  	 fjh      @閐	,    g/()             sigmaYinit your    @ 1v $    XG$  	 fjhي   	   @q	-    g/()             sigmaXinit enter 
   @ 1P$    XHc$ 	 fjhي       @K @    T@ f O6l=X/ PT/!*#@Q@`۱@_ "    XA  	 3ffj|`nf     ]C@x  333   wqY4v-H$CΧHb_
A*Ga]P  f O.*k>IX// % yyaP9$uBP  L    ]C@x  333   wq9xdgBEy!	gS tP	*Ga=P A    Tg@ f Nq䏒VK;	@ _
s
$T~bF|M2  "    XA  	    j|`nf  ?    ]C@x  3f h3dJ䆒TK)9"#̑`R Y%g0       D        @'
             @'
4       -  sigmaXinit  sigmaYinit tauXYinit thetaInit                ! Xv!   	 3ffn     " Xv!   	    n X  #  D    !    @'
4         "    @'
     o( sigmaXinit isNaN sigmaX sigmaYinit sigmaY tauXYinit tauXY thetaInit theta sigmaXdisplay Math formatDecimals sigmaYdisplay =  tauXYdisplay WhatAfter thetaDisplay  thetaRad cos2Theta cos sin2Theta sin deltaXY radius sqrt center sigma1 sigma2 sigmaN tauxy sin2theta tauNT cos2theta sigmaT thetaPrincipalRadians atan2 thetaPrincipal thetaMaxShearRadians thetaMaxShear       =            
   J     =            
  J     =           J 
  J     =            
  J	 	       
 R        
 RG        
 RG         
 RG G 		G 	 !	@-DT    	        
 R	        
 R          G    
 R  G      G     G  G             !G " G  #  ?         
 $R %#    	 !	@-DT &  ?                 
 $R '&    	 !	@-DT     yE>:0 radius      Math   abs RH        # ~@&Pw@ :  $ x 5T  
 fABL1F;)L `v0@1˨[2Kv0H-@	`2$MˠRю̻|0> F	 ǊSF "l˸r tc.H\ܺE#Jf	v 0   o9@:1ۗ@4b!ܺSE)[2p;A0"o҆ebcPH;21 ``@1  ԥ`?J!xr ĈE JWc#v` 0   BSF "m˨4Ru 03.@bюܺ 0E)˸r p; "ш[r)M 03. eYl `bA0x Epye	v07.ebc@  n)2l˨Xu ǌ@7.n; ,`G1`	2n]E)+ԥz^  pbюܺ 0  c.q f 041#$e  $ IX    % G  3ff%
  	$   &  ?     %  @ @ ?    @    .   ' oWuP
   ( ( % LDtK  N   ( ]C 	>  333ˮ] fff  Oܐ{r>.W*:/#:     ) _t_  < %n y#     * Ulo < %VsmNp 	   +   *  @   	/   ,  ?     )   +   @ @ ?    @   	E   -  ?     )      330  +       330 @ @ ?    @       . _t  < f$yyO	`   /  ?     .   @  . o, kZ8@ .  Z8J  . #]@ @ ?    @      0 P 	       1 P 	    	/   2 g8w1 f         sStress -00,000.00 	   3  ?   +  dStress sStress  Math abs formatDecimals   	         I    9         R	          R  2 @@@ @ ?    @   	  4  ?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    . & @ }  i @  sigmaXmark    . & @ 0i @  sigmaYmark    & & @ 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 + 0 @ G_@, 1 ~   &- 3 @ OdynSigmaX    &/ 3 @ 
	idynSigmaY    &1 3 @ LUdynTauXY @ @ ?    @      6 4 ř|9f  given F ( ř9f  ??   5 oA  3ff 3ff 3ffU  0v  (    % 0 	$   6  ?     5  @ @ ?    @   *   6 6 ř9f  thetaPlaneSurfaceCoverup ;   7 g2@     (    (    %@1     (    (    #d     8 P( 	       	'   9  ?     8  @ @ ?    @      : P
        	'   ;  ?     : ʲ @ @ ?    @   	U   <  ?     7     & 9 @ p n_axis    & ;  t_axis @ @ ?    @   #   6 < ř9f  thetaPlaneSurface     = T   ̙ @a8eÅ    >  
 =        
   6   ? T   f 3ff  R 豸 |ACPWP0;߯&    @  
 =               A d> f ^0pݏf $   B x _,  3ff X|_@     C d>  k37c `   D ' A   B  t\4|0C   A         start     _parent   gotoAndPlay R    C   E hUvz 	   m,=Ҥ(#*N}B
$* TA~c3ϳ@ n   F ' A   B  t\4|0C   A       $  confirm stress signs     _parent   gotoAndPlay R    R   G h 	   1"Jc4NR*N}1|Ϡ'>By-`GQF81A~(@ g   H ' A   B  t\4|0C   A         confirm angle     _parent   gotoAndPlay R    C   I h, 	   e!a$''>By-`GQF81A~(@ o   J ' A   B  t\4|0C   A       %  show equation sigma n     _parent   gotoAndPlay R    F   K hv 	   1"Jc4NR*N}1|Ϡ   	"   e   L  ' A   B  t\4|0C   A         show tau nt     _parent   gotoAndPlay R    G   M `X( 	   a{)	'>_>s
  Ҋ  @` h   N  ' A   B  t\4|0C   A         show principal     _parent   gotoAndPlay R    s   O h  	   -1iK2Rs#>}q9  	"  0Ɗ    B4i`
  	"  4 i   P  ' A   B  t\4|0C   A         theta principal     _parent   gotoAndPlay R    ;   Q `/$ 	   h"J'LjSGT      o   R  ' A   B  t\4|0C   A       %  show max shear stress     _parent   gotoAndPlay R    P   S hx 	   Bt(4"tT`lhHL#L8 9ÈR*N}1|Ϡ i   T  ' A   B  t\4|0C   A         max shear angle     _parent   gotoAndPlay R    ;   U `/X$ 	   h"J'LjSGT      i   V  ' A   B  t\4|0C   A         sign of tau max     _parent   gotoAndPlay R    N   W h2 	   %1HP_"J4IN *   Ҋ  0z 	  X  ?    

   collapsed  > ֕ ? ֕@ @ @ @ @ @ @ @ @ @  ?    
	   expanded  @ ֕
  D  H
  E  @ `A @  F  h  G  @ ` @  H  Ɉ  I  @ 
 J  ̨  K  @  L    M â @  N d   O j @  P e   Q 2 @  R fJ   S  @  T g    U  @  V g  ! W Ǌ @ @ @ ?    @      6 X  bc_button @ @ @ @ @ @ @ @ @ ?    @    
   ?             SetGiven = 
   confirm stress signs 	4   Y g?1 f         thetaDisplay 0000000000  Y )	4   Z g?w1 f         tauXYdisplay 0000000000  Z @ٛ	6   [ o1 f         sigmaYdisplay 0000000000  [ )	5   \ g?w1 f         sigmaXdisplay 0000000000 
 \ @P    ] Xz  	 3ffщU/     ^ Xz  	    щU/ R   _  D    ]    @'
         ^    @'
4           _ ~@&Gw@ R   `  D    !    @'
4         "    @'
        #   ` ~@&Pw@ P  a x d  
 f@BL1x3 0F ˠR1n]E)B-w ǊS8C21 ``@1˨f$swv0A0 J`(uE0"qJ`!ܺbG1ۗPxYl `  oAv0@1Lٹt `v0@1ڔL\B-tԥ@ "&$ ԥ`@1˨<bc) юܺ 0B1"pLF#r! `S;pR	 ǐ[7.c 0    p;A0"`<!(f] ˸;c tc.qR1n]E)eB-tTq  XL - 0F Px3	  0@1C2 `SF "m˨4R `S ˧ܺlb qJ`#	v0F fЋ  XL 1 05)`҈F$B-uS; p	~3. 4b!ܺSE)0ܺp;; ˦ w 0@1ۗNLFeb n]   XL 4 0E)˦eB, @D"ۗQJh01 f]  ˶,b)L ``@1˰#	v0F fQv `p;3.ڔˠ `@:1ۗ@ @	+bA0"Alܺ 0K-GcB-tԥ@; p)L `lb7.;r鱈 `f])H&Rv0H-@  a @ @ @ @ @ @ @ @ @ ?    @   ?             SetGiven = 
   confirm angle R   b  D    ]    @'
         ^    @'
4           b ~@&Gw@# R   c  D    !    @'
4         "    @'
        -   c ~@&Pw@# T  d x d Y 
 fBBLQ&)Lܺn]=/ & ܺ@7.o҇ct `@:1ۗ@4bwn]  `R1n]E)& ̻ 0E)˦+`n]61 G2ܺ2   o@@:1ۗ@D)M 0>KYl `b>mJVE˷㱂 03.B.!EJ` `lb7.˨[ v0@1ܘt `  f]1ܘ I  :2 
t(hb7.`w 03.G2ܺ 0E)2Jܺ 0;"#r`c.$ `@E)x&B-P̻|0    c@ t `f]1ܘ I  - 0;"Crwc"ۗM@!~ #vQv `f].݌J`b	 `@:1ۗ@8w(v0E)   tc  I   0;"  bA0"Alܺf# 0;	(r (c) \1 ̻@7.h\P `@:1ۗ@	Ew(v0E) @A0 F;r   03.n0  03.  jR0#xr!ԥ|0A0K()Lܺf 061R1 ``@1Č !	c  I   0;" c.˸Alܺf 0;	(r `F q  03. 	jR JWIn] f 0 y
/lb;"m˦,bc#L u 08pL@1 n] %`eܢ 0F   t `crcRH  d @ @ @ @ @ @ @ @ @ ?    @       	 
    ?F   ' d          SetupTheRotatedElement =          SetGiven = 
   show equation sigma n R   e  D    ]    @'
         ^    @'
4        #   e ~@&Gw@- R   f  D    !    @'
4         "    @'
        7   f ~@&Pw@- q   g pI	x 
 fLv0"o҆e @D"ۗQJh0 T / A   0A0 t `c˶+r  g <`   h Pϑ+x 	 jh     i Px 	 /     j PB	 	     k P:	 	 P    l XXa   	 i%"t    m P,Ӊ 	 Ր    n Pɘ 	 .,     o P+x 	 jh    p Px  /     q P  /     r XP   	 %65     s Ta8  %P;x     t P2	 	 8     u Ta8  %P;x     v P*Ӊ 	 d     w pV
"	'p  %t` 	2   x oM1 f        sSigmaX (-00,000.00) 	2   y oY1 f         sSigmaY (-00,000.00)     z pVJ#@   %x_` 	2   { oC1 f        sSigmaX (-00,000.00) 	2   | o?1 f         sSigmaY (-00,000.00) 	.   } g81 f         sTheta 2(360.00) 	1   ~ ou1 f        sTauXY (-00,000.00) 	.    g:(1 f         sTheta 2(180.00) 	/    g81 f         sSigmaN -00,000.00 	   $ ?k  {  sigmaX _parent sigmaY tauXY theta sigmaN sSigmaX ( 0 ) Math formatDecimals ( ) sSigmaY sTauXY sTheta (0) 2( ) sSigmaN 0     N  N  N  N  N  	         I    1 	          	R 
G G 	         I    1 	         	R 
G G 	         I    1 	         	R 
G G 	         I    1 	         	R G G 	         I     	         	R  h @<@ i   @8J> j  @8Jk k  @8Lu!A l   @'gP@ m .@'yP@ n   ?~K@ k  @8ND	 o @J 
 p @8NL q @8NN r  @'Q m E@'Y8 n  ?\Љ s ֎ h @b p   @8K| k  @8LFx h @W`( q   @8Ld t  @8LF u  h @H@
  p   @8MN(  v @NS(  h @ZP
  q   @8M`(  t  @8MS @ @ @ @ @  w   j   @L x @ S؏  k  @8MW݀! y @'`(݀" t   @MWyD@ @ @ @ @ @ # k  @8LF@ @ @ $ z  % {   @'+& v .@'W' t   @MWJ( |   @'_@ @ @ ) l   @'Qq`* } @'Zpq`@ @ @ @ @ @ + k  @8MB @ @ @ , ~   @'2 - r   @'Zr .  5 @ @ @ @ @ @ / j  @8MCC @ @ @ ?    0  1V @      6  2 - sigma n equation  =    mBUN	     \ڳ'2 *0 ̳66̋%W<I ?n    n b         /e*zvf~
eW0"ź6
j* (
?s,T/%N>      % ^# 	+         0 @ J7Ԁ@ ?    @    =    mB     ?f¡˙+P	#QFnf $` eTdw/  ?n    nӳ           ef.ڎ~eYW!z*+* h`V?,T0OT>      %cބ8 	+         0 @ J7Ԁ@ ?    @    @    oU{
     333( 333(    % Llp}@	s{P       P> 	      X 	'     ?      @ @ ?    @       P, 	      X 	'     ?      @ @ ?    @       P͉ 	      P0x 	 /  	:     ?      Ŷ%&n  Ŷ% @@ @ ?    @       P x 	 /  	:     ?      Ŷ%&n  Ŷ% @@ @ ?    @   ?@    _i=E 3ff kD {| | 'v GbtOa  D 	u    _p` 3              sString <P ALIGN="LEFT"><FONT FACE="Verdana" SIZE="12" COLOR="#000000">152.75</FONT></P> 	'          ȴ @ @ ?    @   	3        &   2@ R theta_text @ @ ?    @   ?    l[Y%F  3ff    < f- Qy.'Q `m

.wUfrqxhH8REB&T Kh  `W@Dm4^`=(B$1mr4&L{จv !~rmYRT UP -N  W4 5R 4WҲ HV 5-W
 ּ.q.7	        @   	Q    ?r
  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 "   .= 9 @ H h    axis_n_label    .? ; ˋ h    axis_t_label "   .A  @ Hh    axis_1_label "   .C  @ ŀh    axis_2_label #   .E  @ Hh    axis_s1_label #   .H  @ ŀh    axis_s2_label    &K   theta_target    &M 3 ' txt3    &O 3   txt2    &Q 3   txt1    &S   highlight @ @ ?    @   !   6D  ř8F - rotated_element @ @ @ @ @ @ @ @ @ ?    @    ?F   ' d          SetupTheRotatedElement =          SetGiven = 
   show tau nt R     D    ]    @'
         ^    @'
4        -    @&Gw@7 R     D    !    @'
4         "    @'
        A    ~@&Pw@7     p 	 	 fVtnf `n ` { / S ! ` `tn ` `pvfjn `v` `tn ` `lv`njv`    @ I0     iPR	   %AG     Py  /       p*Ή'h  %&` 	2    o;1 f        sSigmaX (-00,000.00) 	2    o 1 f         sSigmaY (-00,000.00) 	.    g:(1 f         sTheta 2(360.00) 	1    oM 1 f        sTauXY (-00,000.00) 	.    g81 f         sTheta 2(360.00) 	.    g871 f         sTauNT -00,000.00 	    ?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     o   @<  i   @8J2    @8JT j  @8KD  v @No  r   @'C`P  m .@'RP 	 n   ?XpK 
 k  @8MbP  o @o <  p @8Mt Z  q @8Mx Z  l  @'}P  m E@'Gx  n  ?JH h @H ( p   @8LU@ v @N]x h @l@( q   @8Ly` t  @8L^@ @ @ @ @     j   ?"T!  -` v @:Ma݀  @Mj݀ t   ?bAD@ v .@'3T!@ @ @  r   @'W?    ?_?@ @ @ @ @ @   k  @8L"@ @ @ !    @'=@ @ @ " l   @'a #  @'r @ @ @ @ @ @ $ j  @8M"| @ @ @ ?    %   &@'| @      6  @ 7 tau nt eqn @ @ @ @ @ @ @ @ @ ?    @    ?J   + d               SetupTheRotatedElement =          SetGiven = 
   show principal R     D    ]    @'
         ^    @'
4        7    @&Gw@A R     D    !    @'
4         "    @'
        K    ~@&Pw@A ?    hP  	 fP͈v`jv`f|` `nn ,    )@'I4    hQ  	 Xtnn `v` `ǂ `tnf `  on ` `Ĉv`jv`f|` `  n `|`fne    O    P:	 	       f.5s  %p:{L     Xbw 
 X     P    @     P(       P2       P(
h        pk,-P  %:` 	2    og1 f        sSigmaX (-00,000.00) 	2    oU1 f         sSigmaY (-00,000.00)  #    x]g Ҁ  %`bǃ 	2    oe1 f        sSigmaX (-00,000.00) 	2    oC1 f         sSigmaY (-00,000.00)     `,P  < 	1    o;1 f        sTauXY (-00,000.00) 	/    g8w1 f        sSigma1 -00,000.00 	/    g91 f         sSigma2 -00,000.00 	   ! ?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  h  @<   (@8J> j  @8Kq  h  @~   (@8KYE s @ l h  @P@( p @8L]`	 k  @8Lex
 h  @v`( q @8MA(  t  @8Le   @'IpP   @ @ k  @8NJ  o @O  p @8NR q @8NT   z@ T  u @ vz h  @hp
  p @8Mo (  v @NsX  h  @z
  q @8N@
  t  @8MsЂ   @ E4  @'R8Џ  ̀8  #cX  @8J` @ @ @ @ @     ! j   @L8Ҏ"  @ H2# k  @8Mf!$  @'oA% t   @Mfs@ @ @ @ @ @ &   @'2!@ @ @ '  9 (  ؏) v .@'|* t   @M|Be +    @'B~,   @ L-  P`.  ̀^h/  ̀^Iƀ@ @ @ 0 k  @8Ng@ @ @ 1    @'m2    @'G!<@ @ @ @ @ @ 3 j  @8Mb @ @ @ 4  N5 @ @ @ ?    5  @'h 6    @8Mab @     2 A @ @ @ @ @ @ @ @ @ ?    @     ?J   + d               SetupTheRotatedElement =          SetGiven = 
   theta principal R     D    ]    @'
         ^    @'
4        A    @&Gw@K R     D    !    @'
4         "    @'
        U    ~@&Pw@K ]    pr 
 	 f"Nv`nǌfv` `pv `Ĉv`jv`f|` `nn ,    @'I4     i$a   % @     XW   	 ʢ5     P  /   #    xD_   %TcF xA		2    ok1 f        sSigmaX (-00,000.00) 	2    o1 f         sSigmaY (-00,000.00) 	1    oԀ1 f        sTauXY (-00,000.00) 	2    g91 f         stan2theta -00,000.00     P+P  
 jhM 	3    g8w1 f         sAtan2theta -00,000.00 	.    g81 f         sTheta -00,000.00 	   $ ?    sigmaX _parent sigmaY tauXY thetaPrincipal deltaXY 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 m .@'I n   ?`Ď j   @LI@ o @I@ p @8MN@	 q @8MR@
 u Q  h @A@ p   @8MHp@ v @NLȕ@ h @S@ q   @8MZ@ t  @8MM@@  ̀3X$"  ̀Ȋ@@ @ @ @ @  j  @8MsP@ @ @      X@ v .@'c|, t   @NcXF    @'g<,  ̀^  ̀^Ӑ"  `@ @ @  j  @8LI@ @ @    &@'d&@ @ @ @ @ @   4* @ @ @   7@8M.   m .@'*) ! n   ?$ " j   @M$) @ @ @ #   &@'2) @ @ @ $  .@8M@% n   ?@@ @ @ & j  @8M$ @ @ @ ?    '  d% @     2xK @ @ @ @ @ @ @ @ @ ?    @    ?F   ' d          SetupTheRotatedElement =          SetGiven = 
   show max shear stress R     D    ]    @'
         ^    @'
4        K    @&Gw@U R     D    !    @'
4         "    @'
        _    ~@&Pw@U Y    pJ4 
 
 fJ.nDsP `v0@1ЌG2ܺ 0E)˦eB, @D"ۗQJh0        XJ  	 / ~fzz 	2    o] 1 f        sSigmaX (-00,000.00) 	2    o71 f         sSigmaY (-00,000.00) 	1    oI1 f        sTauXY (-00,000.00) 	/    g81 f         sTauMax -00,000.00     XA  / f!      qMd^0  %y]  	2    og1 f        sSigmaX (-00,000.00) 	2    o1 f         sSigmaY (-00,000.00) 	1    g91 f         sSigmaAvg -00,000.00 	   $ ?c    sigmaX _parent sigmaY tauXY SigmaAvg center TauMax radius 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    k  @8M\pQ o @g`= p @8Ml`[ q @8Mp`[   @ t u  h @ap.	 p   @8Ln
 v @Nw@~ h @B q   @8MIX) t  @8Lx2  `g    @'lL  ̀S@  ̀ #c  o   @<   h  j   @KS@ @ @ @ @      X v .@'uY
 t   @Muu     @'|
 j  @8L*$Ǝ   @ |T  }`  ̀^X  ̀^Հ@ @ @  k  @8Nd\L@ @ @    @!    @'D.<@ @ @ " j  @8L*'@ @ @ #    ?L?@ @ @ $ h @ b%  & j  @8M ' s _ ( h @!v) p   @8M(:* k  @8M,+ h @4v, q   @8M;J- t  @8M,j@ @ @ @ @ @ . j   @MF@ @ @ /   0  @ S1 k  @8NJ2  @'O3 t   @NJ@ @ @ 4 j  @8Nr`@ @ @ ?    5  @'z|@     2 U @ @ @ @ @ @ @ @ @ ?    @    ?F   ' d          SetupTheRotatedElement =          SetGiven = 
   max shear angle R     D    ]    @'
         ^    @'
4        U    @&Gw@_ R     D    !    @'
4         "    @'
        i    ~@&Pw@_ y    pμ
 
 f-NwD"݌˨<bwv0A0 & (f].݌҈; `c!et `S:1ۗL˸X)ME.J``        i$a   % @     P  /   $    yD   %oLD#RG0  	2    oK1 f        sSigmaX (-00,000.00) 	2    oG1 f         sSigmaY (-00,000.00) 	1    oM1 f        sTauXY (-00,000.00) 	2    g7w@1 f         stan2theta -00,000.00     P+P  
 jhM 	3    g91 f         sAtan2theta -00,000.00     Xga  	 fl 	.    g71 f         sTheta -00,000.00 	   ' ?#    sigmaX _parent sigmaY tauXY thetaMaxShear deltaXY 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 m .@'I n   ?`Ď j   @LI@ o @M~@ p @8MR@	 q @8MV@
 v .@']? u P$  h @E@ p   @8MLw@ v @NPϵ@ h @W@ q   @8M^@ t  @8MQ@@  ̀3Y`  ̀懲@ @ @ @ @  j  @8MsP@ @ @        v .@'h? t   @Nh
    @'k? v .@'}O  ̀^Ѡ~&  ̀^ӑ4  `G`@ @ @  j  @8LI@ @ @    &@'d$@ @ @ @ @ @    m@ @ @ !  7@8L=WP" m .@'(W<# n   ?3($ j   @LI<@ @ @ %   &@'d'<@ @ @ &    @'{ @ @ @ '  @8NRv@( n  ?Phr@ @ @ ) j  @8NVHs@ @ @ ?    *   &@'\s@   (   6  
N_ eqnOrientationMaxShearStress @ @ @ @ @ @ @ @ @ ?    @     ?F   ' d          SetupTheRotatedElement =          SetGiven = 
   sign of tau max R     D    ]    @'
         ^    @'
4        _    @&Gw@i R     D    !    @'
4         "    @'
        s    ~@&Pw@i    x e 
 f@X_0 Fbu~; ˠbюܺ 061R1 ``@1L1 n] ˹E۱Q~ q4#̻c.JgF;rw 0E)R)L `  o9`@1F;r @D"ۗQJh0t`n]?JPx q %n] $N c1"шcb9n]  xXAl̻|0G1ۗ@! `c I   6  o
 0; & 1 n]    n]C1#˸	  08  =  AF 2  1    hPP  	 hĊv`ǌv`r 	3    g71 f         sAtan2theta -00,000.00 	3    g71 f         sAtan2theta -00,000.00      Xk 	 v`ǌ      ieR   %>^G      p+nV  %SV  	2    o]1 f        sSigmaX (-00,000.00) 	2    o]1 f         sSigmaY (-00,000.00) 	3    g:(1 f         sAtan2theta 2(360.00) 	1    oO1 f        sTauXY (-00,000.00) 	3    g81 f         sAtan2theta 2(360.00) 	.    g81 f         sTauNT -00,000.00 	}    o1           sPostive A positive shear stress indicates that stress on the +n face acts in the +t direction. 	   6 ?=  $ sigmaX _parent sigmaY tauXY thetaMaxShear deltaXY tan2theta atan2theta Math atan2 cos2Theta cos sin2Theta sin tauNT sin2theta tauxy cos2theta sSigmaX ( 0 ) formatDecimals ( ) sSigmaY sTauXY sTheta 0  stan2theta 0 sAtan2theta sTauNT sPositive The negative value indicates that shear stress on the +n face acts in the -t direction. The positive value indicates that shear stress on the +n face acts in the +t direction.      N  N  N  N  N                         	R 
     R      R            G     	 !	@-DT  	         I    1 	          R G G 	         I    1 	         R G G 	         I    1 	         R G G 	         I    . 	         R  G 	         I     	         R 	         I    . 	         R  G 	         I     	         R 	         H    ! +          H    "    #   B`@ @ @ @ @ @ @ @ @ @ @   @ @ @ @   +@8MU4  m "@'K/  n 5BĨ j @M[/ @ @ @    &@'f/ @ @ @    &@'f/ 	   R@'PK@ @ @ 
    o   @ i   @8L Z    @8L)Z j  @8L6G2 v @NK2 r   @'Mà m .@'\̀ n   ?bqǀ k  @8Ml̀ o @y! p @8M~!ր q @8NAu l  @'Cs  m E@'Lxs  n  ?OHq h @\& p   @8LiF v @Nqj h @@! q   @8MF t  @8Lr@ @ @ @ @ @     ! j   ?*@"  4f# v @:MkY$  @MsY% t   ?lB@& v .@'#@@ @ @ ' r   @'\Ȟ(  1= @ @ @ ) k  @8M+@ @ @ *  LX@ @ @ + l   @'g, ,  X @ @ @ - j  @8N] @ @ @ .  і@@ @ @ @ @ @ ?    /  #`@     @pi @ @ @ @ @ @ @ @ @ ?    @      
	   finished  B  *    hT`  
 f<;) *HY~P   qπ@ @ @ @ @ @ @ @ @ ?    @   