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 P>L 	 ̒     X!Oa  
 ̒     XN 
 ̒ 	~   b D      &@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 @ $	 i @ 	 i @ @ 	 i @  	 i @ d	 i @ @  	 i @ D	 i @ @ 	 i @  	 i @ x@ 	 i @  	 i @ \@  	 i @ <@ 	 i @  @ 	 i @  @     )@ HH  @ @ @ @ @ @ @ @ @ @ @ @ @ ?      @   
 ?  K- Math commaFormatted neo . inputString split neoLen length neoStart charAt - neoLenR noCommas floor FirstBunch substring withCommas SecondBunch , ThirdBunch neolen FourthBunch formatDecimals num isNaN digits cropped round CF tenToPower pow indexOf .0 halves zerosNeeded i 0 toScientific exponent abs log mantissa sigDigs output e       inputString      R< 	         N N<         <            	         N 	R 
I      <  <           R<     ?	         I        	         IL    I >              	         N R< <      I   	                  	         N R<                 	         N R<  G G< 7     I   	                  	         N R<              	         N R<                 	         N R<  G G G G< ?     I * 	                  	         N R<              	         N R<       	       	         N R<  	               	         N R<  G G G G G G<             N NH    G     NG >O      num digits      =  	         J> _         H <        RK<       R< >  
        R<        R K<	     R I     G !    R< " !    N N< #   < " #H    $G ##P        R< >O   %   num sigDigs . J     =   > &      'R      (R	 k@U      R< 	         I   &         & 
        R< ) < )*     )      R +)< &	         I   ++ ,&GG +>O ?m  * deltaXY sigmaX sigmaY center radius tauXY Math sqrt thetaRad thetaDeg cos2Theta cos sin2Theta sin sigma1 sigma2 sigmaN sin2theta tauNT cos2theta sigmaT thetaPrincipalRadians atan2 thetaMaxShearRadians thetaPrincipal thetaMaxShear mohr SelectedStressElement circle_mc nt_diameter _visible construction_details theta thetaNT index instance NormalStressN NormalStressT ShearStress RotationAngle gotoAndPlay   *** *** ***   StressTransformationCalcs          <  G          G     R 		 !	@-DT    <	 
        R<	         R<  G      
G  G             G<  G <   ?           R   ?                   R     	 !	@-DT     	 !	@-DT > PassValuesToMohrMC  mohr   O  O  O  O  O  O      	 !	@-DTO      	 !	@-DTO  O  N N  O     O   	O 	         I    !        O [      I    ! O +      I    !  O  O  O  O >* SetupTheRotatedElement  instance index  ""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 #& # $N )G G& > ?t   2  config bm gotoAndStop dimensions section _alpha 	      R	     R          O 
   state_problem  A   p       &&m\	?4 777TTT/~ϕİ  :::XXXǈo 999NNNñ.SB J :::SSSЗeY)6 777SSS@VU*9r 999OOO 0o }+]Ҳ^(oүd l;/%Mm mF~1|E a?&lm4Puq7*3{7 T pCkO!gQң<S蘮
Sߺ@ R   f T     +++ """  GGG DDD  ---      %%% d}4le T##d++}O` U##g,,?z^=%\  Q Z^s/  9q-+5\ "u# }55??{)$kCK@ 66AAǳsuELwF4M  66AAg';2k-	 }55???
ZW c((BB QrkT;)BGhc"M6bۏK:VkH ٍ<7pCʧ!:}>]s;z};(BQ(X1C8A[6cTG8/%G\ueJ1|F^`{)bW [,bcE1%X1/;Ds$kEkE瓄"CeHmQ뜽P2/Ħ@%s:. YDKH`<s9`7UphCk0 `[Hh0	|fvU=~҈lk5oHwߖMm7:ht~/s-9ksj!(CG+ntHfdOVku'$gF\nsFLt)6aT4!Koوv:ti#S4e@%~
:Z@ vW	n?.*曦m>о0)u	l{ nr30F<      q     %'    P 	      B |   p jx    f'G2k-	 }55??ǳs)E\wF4L  66AA"wu# }55??{)$kCK@ 66AA 0`4o9N!7K/yˆ!>vdDZ66gxzv1kHpj%keRhGR r4S0>      i , h h ifjvH jpJlQj} hluX hkHɽ jnM jpݟ# nyP[٬p jq/ jpg/ֿ msY᫙ nyG߫ؽX sw`˿Z mtLk~ mtL}F  s P г7wia	%|@8wH׈-@}._q-A1lq X=LFe1  t#]MCn!A|DFcqZh<Ca!  :F[ ҽ3{7$8_A\pkD:?;Srf!x4#%^:px`~17a2׹st l#0 n2"S=&YizkAGrԧaĦGRv1"IkFq_A	yt%q  :    pK     % YݹYCu@vcALaw+qҗ (    `90$
h 
  e0 `((     P	 	 d     P	 	 , *    ``"h 
 	$e, `h(      T       @a8eÅ     P4 	   #    i8ڀ     %m_v.i?     XiA   	 ;ݎ     P4	 	 T ?    p P     %"1a@.7> ff f    (    (    "%& ]!Pxp\ X[LnxYQ\"cuoMֈr\Szr5S-@p^	    N P \U(@\kVy@~Y	D		
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 5NbZ\e޹ZSXI6	@0^16޽\lB퍐vlA 	 /0 !|}k*kirY74[E%|n)3GTqbe`bɍK e'M+1P2e&Z%q P	JLuV;ߔQGkL{ `ي%^vV?K|F/ 5dV{vVZn0ln#䩻R VGI}SS3$Wb6jpc!bh 5b^eBżreq  &xe؎ɽvw3	\UL]m7u8z  5Kl8aOD6T8/Gb 5f{yES̲텀 5b.o6}ʓ.nWyTce3mٴMP 5h Yzև]'p3m[dvUx 4X`$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 5k3-~͇"QPk3<ZD 5j4Ky+NE 5feV)yP R) 6^(bc]cR\$m3:l)@A9fSvjϥ#zg)@`MkI,O5*ZBȽY%`@0:bS ;vin6̈́m 5b{xQiS[U  2q0 ]/&z%Rh{nبAN ,͘4J`	ٷ-%)ks@A#5gZr.Zn& 6D`RiM5iiv̅gz6r.l7fH/e2]ݪ  5h{yXVikNZ&p~.wW&RY%[R;ax.,w$_}5چ 2LDf*
w5DWP&כobk@Bɴ~Q	̗^3Ǩ@Z&Y@3R	ф6JRcVBKDfg6[Y[Ppܗ 5f&}U/]{ FOqSZw(bf 1˘)t[z 5hx^
~ Sf!e.%ݬSeAЎyeYkF 	 1n'ـ.s%)-P]_U ڤ{Hl,Pm3@9L&!1M H<%Sn>[[yہ 5ef[ /7jآᰶKMg];k[ +`aQrmjU~  5byQv-^c
lKl5l5b{yXV,^ 5kbf\ ,8jآᰶmi]z[ ,;'ސ^Yv(l-RdV\Y'-v;\Ka{U-*lJ0Q\h/*M@ 5ef[ /7jآᰶKMg];k[ +`aQr-WҬd  5I, *b	i%5r˴ XmSPɀJ*6L A8F̍`32bx8't4PՌ 5bu]J
r̠		<2qu<)-2mk7][\ax(=seLL76uW#Ȼ=A#5fvX2/]:N3bl/lJ⚽Ҫڴ`u
 5ff1\Yp	fR['2e*Ixnkj.d 2IR% `d%gfqf[!eZI[dWenv\۳n\6Iؤ:h敜ymf 5a~wk۪~u	@1YQ2&%@l<I!vU5@I4 06lv 5hyQv)h&RZ& ?*l	[a{> R@+* 5iy]Cϐ]-n%kyī65lny]SpMvO>t.PNGFCax 5K-m{[2ėj]ӭ=nw 5iy7ȯn7V[` 5OcOvn/eY@ 5hqx e@ 2    Verdana &()+/1234567=_abcdefghilmnoprstuvwxyz3    hPF 
  	<e  `h(      P4	 
     ! P 	 X %   " `	$
h 	 SfV;;@ 3   # hPF 
  	4e( `h( 3   $ hPF 
  	$e8 `h(     % _t  < f$yyO ;   & ]" < f 3%z>Y{U,,KZI?Ui	P  :   ' p3R 
 333
 333
 f%DغX: -=r :JC?7   ( jxw0  f f5L@39r϶-0XH    )  C  5hk,\8 ܋5P8C̄ E18ޔap@Z7qAn7qw߼ 5ITmRΦ4:F զ& 6r^ਗf0c JS7$&Nf 0nF I Zkl-((&J~k 5E<mxlnY' @1$ZDp	 =R !`%5ɹw )' nUJ2|GiStĔ     ) SymbolSst   * P+x 	) jh  ?   + jLuED    @ 3d@	 3f
 3f
   f 3f 3f
   
 3f
   f   $%<<dŴHxNIkB<9f(hYֺli@6	d.A	qb\̉̊u(%<4`	ÂOלr0:A`'H>֫JkQ`	s ,   , XwtH   3fx x *TEG*@ %   - XKt=     x x E
pG*@    . PБ+x 	) jh  )   / iـ 
 f%Ff5܉WfI5ڏ &   0 P  fx x 0 x 5UQJU 	  1 ( D   ?    
   config    ?@    O
  O  x  O     ŷ|*4Nbh      ŷ|*9ch        @M&    @Na   $@'{  @ @ @ ?    
	   config_D   9O      ?     @M0r<@	   
  Ŷ۸4h        @M@@ ?    
   vm 	 i @ h     Ŷ8      @N1k  !   @N=@ " Ŷ8" # Ŷ8}& $ Ŷ8( @ @ @ @ ?    @ 	 
             ?    
	   internal @ 	 i @	 i @	 i @	 i @@ 	 i @H	 i @H	 i @H	 i @H@ 	 i @	 i @	 i @	 i @@ 	 i @	 i @	 i @	 i @@ 	 i @4	 i @4	 i @4	 i @4@ 	 i @؉	 i @؉	 i @؉	 i @@ 	 i @|	 i @|	 i @|	 i @|@ 	 i @ 	 i @ 	 i @ 	 i @ @ 	 i @ ĉ	 i @ ĉ	 i @ ĉ	 i @ @ ?    
   internal_fin 	 i @ h	 i @ h	 i @ h	 i @ h % fdՏ` !   @L| & Ι5H     @MP @ ?    
   shear_distribution  '   (   *    5hΒ Ι5)Hi @   D@8MP i @  @ @ @ @ @ @ @ @ ?    @   ?    
   normal_distribution  +   , > - Ƴf  .  5r褉	 i @  	 i @   Ι4 @8MHA @ @ @ @ @ @ @ @ @ ?    @ ?    
   dimensionD  /   0 h@      6 1   bm  5   2 E  
 @!^]&/%Ӥ@_/SP0` F 2 F	/ ?M   3 mpD~  f &')B*|:( rl9 x : yNz '=]ݪ    4 w\Bܱˢh@ 涘 ¾u4$noO ܛQDϬ^Z  CCLL  %%%        ::: ))) 333ܵ}n<V CCLLR2g q22z66ˢh@ Z` ¾Ǚ	QǑm*и ¾Ã+Nu ¾   +++ ===     """ ///  3 @  (1Rmj S̡fff P[ 8oøზ2hF z-`HnT@#yv!DMޥ.<:E^鼱?Ⱥ6D>EShDV)DfCf+*&M@w!"GBN? {o"?	CqQ?~+$|k>@aCv㌹s;|?kB>;ᰋpv{Ze4DftWe{ڈ;Fnj{y6d`qu"$L,3jn*aх*5#
ּjUJ\?s?u)pȔ;U}9ފi:TÉA <Vv
[o@#zD-6ŬwͰ	/`݇rL|wz;pa&2y
aUrj5`^.5tRgB^F%oBD0!p&pD6C\++ib,mcKcKX4q'	-LicDBchCeBƐM,{3rL?YpL_ͧt;9z-b%аO<gʝżUUtRvc~9q!=ȤD0'8 㝂	Ҡ#]aYל(Ap{n3e~%칸m%%s{\qk
G"[V!gBW6h&fӉɝM8xGg-iQ3Ir4x8j%4`WޣЎ}pkKpވ	 'A޴ޥщ2`;6i)ghCFu7?     5 MM[9c	     ===   +++   """ /// @)<fKsq6?ۑB&>,$m`8¸tA+t/u]fFބF3Kc;!p}=h9;'}li}d#iG#P:\@t	ᨋKMMlANp  w   6 nM$      %=_
G1f6vl@O-Z4pX/B\=Wl{'{lh=e_ݺߎ&V'0~8+	2$   7 ` 	      !VJuX*? "   8 ` 	      !VbO "   9 ` 	      !V:O $   : ` 	      !VBX*?  %   ; `v^'`     %`cyQ@)'Q&)`    < P 	      8  +   = du?      %`]gMn]A^x:.0  B   > mQ9 f ʹUc_v(
K[`X*
wSRR;%tV  "   ? `	$ 
    ( `((  Q   @ d$ֿ     (    (    (    %/>~'w.%碠7.>=)J#WX  Q   A D$         @;)9yq Kg<rMRΓt+eap
' 6 &   B `+ 	      AVR
U?     C P	 	 N 	s  D  D   ?    
   show_point  3 
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P  4 f 5 f0h\  6   7  ?jr? 8  5?jl 9 @ h  :  @ :	 ;  
 < ˣ =   2    $I: >   ? ҅ @      ?    
   dimensions @ ?    
	   centroid  @   A  B  @@ ( C   @LVh    @ @ @      6 D ff3=h section  (   E Xa   f f%l0\+A%"y  +   F _D   
 f%Ia?2`Cw2{-  *   G X\b f ,W{'Ȃ [, $   H ` " 	 ft'*֖)+  *   I X\b  33 Mnodw`qOu $   J ` " 	  33t'*֖)+  $   K XFo@   33  3f5m|d+@    L  | E   F   u@Dc G   E   34  
B F   u@Dc 34  
B H   @@'t@
 I   J   @@'t@
 K          0 L ì      M PnH 
 f%K9Cj~)_:     N Z?b ܄ 
 f%iwgF     O `
0   f 4Åi     P N%i- f +~)_9wX '   Q `$
 	 fq\5<*eɭX     R YW"0   33 Oݜn27Y '   S `$
 	  33q\5<*eɭX  $   T Xy@   33    5o |d+@ ,  U    E    @)xM  @ n@N  ^ O  C^)P    @JKWE    x|34  
B M   n834  
B N     A134  
B Q    @'[@
 R    P    @JKW     0 E    @)x34  
B M  @ n@34  
B N    @ A0P34  
B S    @'[@
 T    5 U   @-Wa     V Xg  	 fq\44`     W Xg  	  33q\44`  2   X _e@   33    5l+I	cr/ci   Y   E    @)0M   ?xP    ?iE    @)034  
B M   ?x 34  
B V   b@'u(P    ?i     0 W   b@'u(X          < Y   @-g     Z Xl!   	 fib53     [ Xl!   	  33ib53  2   \ _e@   33    5l+I	cr/ci   ]   E    @)0M   @ PPN  @ PO  C^)P    @JJAE    @)034  
B M   @ PP34  
B N   @ P34  
B Z    @'} R   P    @JJA     0 N  Z34  
B [    @'} \        -  A ]   @-uY  %   ^ `	000  f f$=´tP0 H ^   &   _ _a   f f%l0\+A$9 I _     ` Wԉ 	 fB@ J ` =F    a P߇ 	 f  &@ K a @ORwP &   b o__   f%7fa5YL b ;     c @  3ff% 
  M c  <   d h"P   
 f%G7XNwG}P+&̧  N d   @'U    e b6  	 f  L O e 0K   f p+ 
 fjhQ {  {Ĥ {  {Ĥ {} P f  @ k(Q c    g pG 50 
 ftǐ `(e(( `Ā``̶ ` oĐ( `ǰ `ǀ ` `ǬǠ`v(`ض `: Ġ`Ā`Ā `` `v `$e, `h( `H̶ `Āǐ ``Ā ` e0 `((nv `Āǐ `Āe R g   ?N     h T    @a8eÅ -   i   h         h        
   ;   j T   f 3ff  _;a;v_D8Y\'ACP`SNźn?@,   k   h         h               l d>@ 3ff C3c     m d>@  ap` r   n 1 O  Pבopl   m   O  Pבop      state_problem     _parent   gotoAndPlay R    q   o 1 O  Pבopl   m   O  Pבop      plan_solution     _parent   gotoAndPlay R    7   p hRp 	   >_<O옚<N%fJ	lˤ 9   q hh 	   q,I
L& (!6i0 o   r 1 O  Pבopl   m   O  Pבop      vm_diagrams     _parent   gotoAndPlay R    u   s 1 O  Pבopl   m   O  Pבop    !  centroid_location     _parent   gotoAndPlay R    B   t hZ 	   ɉސ@T˧i,fc$	
fzC.@ ;   u hDz 	   i(^~h>_bh"}?IfJ)% m   v 1 O  Pבopl   m   O  Pבop      z_inertia     _parent   gotoAndPlay R    r   w 1 O  Pבopl   m   O  Pבop      bending_stress     _parent   gotoAndPlay R    L   x h 	   DIKhGTQKi&])L>_ IBEM&Gf| J   y h 	   DIKhGT|a4xDɣL$\aTG3&x l   z 1 O  Pבopl   m   O  Pבop      finished     _parent   gotoAndPlay R    &   { `# 	   R-&.Bɉ 	C  |  D   ?    

   collapsed  i   j  @ @ @ @ @ @ @ @ @ @  ?    
	   expanded  k  
  n $
  o 
  p  @ v@ q  @ @@  r 2 
 s R  t b| u cD@  v \  w %   x d y TԀ@  z    { E @ @ @ @ @ ?    @   U | @@  6   } D40  f%9O P
q%)q^P5 %R   &   ~ @S$  f 9O P
q97g2d 	Y    D   ?     }   ~  @  @oL @  yXmS @  (k @  wޱl@J @  ~' @  eŗ4 @  M&uyF @  vv @  v @  M&򌆺 @  eh0 @  ~O| @  wޱ? @  x @  yƧ6 @  @Mo @ ?         @   n  @ TtsP q c  @ @ @ @ @ @ @ @ @ ?    '    `-0$ 	 fE$کɭ,`X '    `-0$ 	  33E$کɭ,`X '    `-0$ 	 E$کɭ,`X  &    ` 0 0 ̙  4JpGoi~Z     y ^    @)0   3@'
)^    @)034  
B    3@'	SO   ^    @)034 z(0    3@'	S        r   @ r ?    	  section   _alpha d   O @ @ @ @     hQ 
 fp tǐ `Đ( ` `Ā` ` o` ` `Ā `ǀĐ ``Ā `Āǐ `Ġ`(` `ǰe S   ?Ni)@ @ @ @ @ ?    r  " @ r ?Z   -  show_point section gotoAndStop config_D bm 	      R	     R @ @ @ @ 6   xtR 
 f0LĀ ` `Ġ`Āǈ `v `0 `(( `v( `Āǐ `v`Ի `ǴĴİĀe ` o6ĐĀ(`ǐ `Āǐ `ĐǌĠ`ǘ `Ā `Ā `İ`Ā `X ``Ā `( `(( `2!İ̶ `Āǐ `İĀĀ( `v `Āǐ `Ā `Ā(e T    ?N @ @ @ @ @ n ?     5    D$  f 9O P
q%)q^P5 %R  	     D      @   n  @ TtsP, @    0 5 < A H I J K L M N O P Q R S T U n q ?    
   plan_solution  L ì - 6    )E    @)xM  @ n@N  ^ O  C^)P    @JKWE    x|34  
B M   n834  
B N     A134  
B Q    @'[@
 R    P    @JKW     0 E    @)x34  
B M  @ n@34  
B N    @ A0P34  
B S    @'[@
 T              @-Wa-       E    @)0M   ?xP    ?iE    @)034  
B M   ?x 34  
B V   b@'u(P    ?i     0 W   b@'u(X        -      @-g-       E    @)0M   @ PPN  @ PO  C^)P    @JJAE    @)034  
B M   @ PP34  
B N   @ P34  
B Z    @'} R   P    @JJA     0 N  Z34  
B [    @'} \        U      @-uY-  ^   _   ` =F  a @ORwP b ;  c  <    hXP   	 fq\4CKOX IS/&ib     @'U     b6  	 f  N    0! f  @ k(" c      x d'@AT 
 f7t `ĐĀ(`ǐ `Āǐ `ĐǌĠ`ǘ `Ā `Ā `X `` `Āǐ `Ā``̶ `  o(Đ(e ` ```` `ǐ `Ā `İ `̶` `ĀǠ`ǘDq #   @K' | @@- @  @ TtsP- C c  @ @ @ @ @ @ @ @ @ ?    D  6 @ D ?    @ @ @ @    xD$`9 
 , e ` `X輋 `Āǐ `ǐ `v `ǌ `ĐǌĠ`ǘ `((Ā `o3Ġ`ļ( `v `Āǐ `Ā``̶e ` `\( `Āǐ `Ġ`ļ(e `1 ```` `ĐĀ(`ǐ `Āǐ ``Āǀ` `ǐ `v `| `ǌ `2Āǐ ``Āǀ` `ĐǌĠ`ǘ `((Ā `e	 `Ā`ǘ `Ā `Āǐ `İ`Ā `nv ``ĀĀe $   
?K@ @ @ @ @ ?    D  @ @ D ?    @ @ @ @    x- 9 
 9$e ` `X萺Ā(`ǐ `Āǐ `Ā` `ļĐĀ` `v `Āǐ `Ā `ǀĐe ?  o)pǠ`ǈ `Āǐ `ǀĐ `` `ǰĀ `ض((Ā` `İĀ ` `-ǰ`ܧĀ` `Ի`e ` `(Ā `v`Ā `ĐĀ(`ǐ `Āǐ `1`Ā` `v `Āǐ `Ā`e ` `tǐe ` ```` `(Ā `nĀǐ `((Ā `v ``ǐĀ`e %  8K @ @ @ @ @ ?    D  J @ D ?    @ @ @ @     pn H 
 2(e ` `LĀ `Āǐ `İ`Ā `v ``ĀĀe `(Ā `Āǐ `ĐǌĠ`ǘ `oĀ `)   ``ǘ `Āǐ `v`ԻǼ `v(Ǥ`e &  8K6@ @ @ @ @ @ ?    @  @ TtsPT @              ! " # $ % & ' @ C ?%     vm     bm   gotoAndPlay R 
   vm_diagrams    6 1  
@  U bm  L ì U 6    )E    @)xM  @ n@N  ^ O  C^)P    @JKWE    x|34  
B M   n834  
B N     A134  
B Q    @'[@
 R    P    @JKW     0 E    @)x34  
B M  @ n@34  
B N    @ A0P34  
B S    @'[@
 T        -  #    @-WaU       E    @)0M   ?xP    ?iE    @)034  
B M   ?x 34  
B V   b@'u(P    ?i     0 W   b@'u(X        U  *    @-gU       E    @)0M   @ PPN  @ PO  C^)P    @JJAE    @)034  
B M   @ PP34  
B N   @ P34  
B Z    @'} R   P    @JJA     0 N  Z34  
B [    @'} \        ]  /    @-uYU 6 ^  7 _  8 ` =F 9 a @ORwP: b ; ; c  H    pLh 
  
 f%be;ʎeb!(}?1HwG'D<I  <    @'U     b  	 f  &@ =  0> f  @ k(? c  @ | @@U    oBEP 6 
 fbtǐ `ǐ `v `ǌ ( oĐǌĠ`ǘ `((Ā `Ġ`ļ( (v `Āǐ `Đ( ` `ǰe (  {nLĀ `Xe `Āǐ `ǐ `v ``R| `H `  (e4 `h `ǌ `Āǐ (	ĐǌĠ`ǘ `((Ā `` (Fm
e	 `H `  
4e( `h(e Y   @ r`NZ  @ TtsPU ] c  @ @ @ @ @ @ @ Z ?,     highlight     vm   gotoAndStop R Z  @ TtsP\ @   # * / 6 7 8 9 : ; < = > ? @ Y Z ] ?.     start     centroid   gotoAndStop R 
   centroid_location  L ì ] 6    )E    @)xM  @ n@N  ^ O  C^)P    @JKWE    x|34  
B M   n834  
B N     A134  
B Q    @'[@
 R    P    @JKW     0 E    @)x34  
B M  @ n@34  
B N    @ A0P34  
B S    @'[@
 T        U      @-Wa]       E    @)0M   ?xP    ?iE    @)034  
B M   ?x 34  
B V   b@'u(P    ?i     0 W   b@'u(X        ]      @-g]       E    @)0M   @ PPN  @ PO  C^)P    @JJAE    @)034  
B M   @ PP34  
B N   @ P34  
B Z    @'} R   P    @JJA     0 N  Z34  
B [    @'} \        q      @-uY]  ^   _   ` =F  a @ORwP b ;  c  >    hP   	 f7jjpnjpKwڪ+     @'U     b6  	 f  @    0! f  @ k(" c      pI8 
 f\ T˰(Ā `Āǐ ``Ā` `v `Āǐ ` oĀ` `` `Āǐ `ض `Ġ`Ā`e #  @^t4     \"?
  ( f%7P`    XIz 	 f  "~S( ?    wt|@4p f@ `<DG  P fP f( f( f%`DynD5]^'C yQ*"% ȒED5^^b'C Q	k   w'䵐D|Dyn n%H<-C 8dV C Q	` "!N02".%Dn	rX        PՉ
 	 l     Pnx  /   ;    MYUb[      %3Y B.Dkt/ /јId      P> 	      X 	k     D   ?         @ 	[ c  i @   c    	< i @   c    	x< i @  @       P, 	      X 	k     D   ?         @ 	[ c  i @   c    	< i @   c    	x< i @  @   	,    `BG
P1          text 4,690-,766 	&     D   ?      @SK]@    3    d#     %ޛvܺ>  X_ܺN #    P 	      8     2    d#1     %^_r+!ˠ,6xAV(u #    P 	      8  $      a/7 P  %i y     PΏP  	) jhk     WӉ
 	      PB	 	 (      r +<g   %f@ 	'    gT'1         text 555.5 	!     D   ?      m@   	&    gT/x1          yBar 55.5 	K	   w D   ?  R  txt1a text  txt1y txt1Ay txt2a txt2y txt2Ay txt3a txt3y txt3Ay txtSumA txtSumAy  NullBoxes       O  O  O  O  O  O  O 	 O 
 O  O  O ?u   8  NullBoxes dimensions section gotoAndStop back_section           =	     R	     R 
   start !   . D  ?i @ hback_section F 3 
=@ 6"    & D msection '  2(  @ ُ*    ?z +    @- S,    @-]-   @-S.    @-z]/    @-,*S 0    @-1] 1   @-5S 2    @-<]    &3    ?s circle_one    &9    ?s circle_two ?  ]ȉE  Jp   &K    ?׍ҳ@txt1a    &M    ?׍c@txt1y    &O    ?6ctxt1Ay    &Q    ?Mһtxt2a    &S    ?Mktxt2y    &U    @6ktxt2Ay    &W    ?N]txtSumA    &Y    @5txtSumAy @ @ @ @ ?     txt1a   text  1,725 O 
   one #  mgZ$娀      $   %  
؉& A 	3     ? 	?     ? @ @ @ @ @ @ @ @ @ @ ?     txt1y   text  127.5 O @ @ @ @ @ @ @ @ @ @ ?      txt1Ay   text  219,938 O @ @ @ @ @ @ @ @ @ ?#             _parent   play R @ ?     txt2a   text  1,200 O 
   two # N~;P$  %   @ Rއ& 	3 	9     ? 	? 	E     ? @ @ @ @ @ @ @ @ @ @ ?     txt2y 
  text  60 O @ @ @ @ @ @ @ @ @ @ ?     txt2Ay   text  72,000 O @ @ @ @ @ @ @ @ @ ?#             _parent   play R @ # $ % & ?    	  txtSumA   text  2,925 O 
   sum 	9 	E @ @ @ @ @ @ @ @ @ @ ?"   
  txtSumAy   text  291,938 O @ @ @ @ @ @ @ @ @ @ [  ۤ \   @)NAu]   P@BEz^   P@BG}`_  -@BIz`   P@BM\}`a  H@CX`b  @,GP`c   @,K$d    @o@e    ?Mo!ဏf   @8Mwb@ @ @ @ @ @ @ @ @ @ ?A   !  eqnSumAy text 291,938 eqnSumA     O  O g      6h    ?NM ^ eqnSumA    6j    ?NM^ eqnSumAy l    @Mwc @ @ @ @ @ @ @ @ @ @ ?   	  eqnSumA   text  2,925 O @ @ @ @ @ @ @ @ @ ?     yBar  99.8 mm  m    @Mwc n    ?NE@ @ @ @ @ ' ( ?Q     centroid     section   gotoAndStop R          _parent   play R @      6$  @]] centroid  | @@]   @ TtsP]  c  @ @ @ @ ?       a @  ?+     one     centroid   gotoAndPlay R @ @ @ @ ?       f @  ?+     two     centroid   gotoAndPlay R @ @ @ @ ?       k @  ?+     sum     centroid   gotoAndPlay R @ @ @ @  ?       p	H 
 Stǐ `ǐĀ` `Ǽv `v ` ` oĐǌĠ`ǘ `((Đ `Ǽ `Ā `B Āǐ `Ā`e ` `T˰ǐĀ`ضe ` Āǐ ``Ā` `v `Āǐ `Ā` ` n(Ā `Đ `ĐĀ(`ǐ `Đv `~ Ā `(ĀĀ` ` `Đ `		(Đe     @	N^`s   @ TtsPp @     # $    ?.     start     centroid   gotoAndStop R 

   z_inertia  L ì q 6    )E    @)xM  @ n@N  ^ O  C^)P    @JKWE    x|34  
B M   n834  
B N     A134  
B Q    @'[@
 R    P    @JKW     0 E    @)x34  
B M  @ n@34  
B N    @ A0P34  
B S    @'[@
 T        ]      @-Waq       E    @)0M   ?xP    ?iE    @)034  
B M   ?x 34  
B V   b@'u(P    ?i     0 W   b@'u(X        q      @-gq       E    @)0M   @ PPN  @ PO  C^)P    @JJAE    @)034  
B M   @ PP34  
B N   @ P34  
B Z    @'} R   P    @JJA     0 N  Z34  
B [    @'} \              @-uYq R    pLI
  
 fDlep|nL b beleLh|n blPb b\MhLtw|n\M<       b  	 f  &@    ?    TG  f@ "},tkD|  P f( fP f%Ph (%"~Չ^DW  ( fP f%L߈v߈0xC̽%@vt7P33~      P"	 	 d     P  /      P܈ 	      P         Px  / ݴ 	5    h!W1          text 23.0 - 5.0 = -2.00 	&     D   ?       @'_x@      p ( 
 f- x `Āǐ `Ā```Ի` `Ǥ` `Ā V oĐĀ(`ǐ `Āǐ `((Ā `v `p `ǐĀ` `v `Āǐ `Ā` `V İĀ `Āǐ `ܧ `Ā`Ā` `Ի`e  (    dsu     %nI[ɭսx,uF#    Ph 	      P     )    dw     %YLO[Iˠ,Hݏ #    Ph 	      P  $ 	!	   Y D   ?A  v  txt1a text 1,725 txt1y 127.5 txt1Ic  txt1d txt1d2A txt1Iz txt2a 1,200 txt2y 60 txt2Ic txt2d txt2d2A txt2Iz txtSumIz  NullBoxes       O  O  O  O  O 	 O 
 O  O  O  O  O  O  O ?s   6  NullBoxes centroid section gotoAndStop back_section           =	     R	     R 
   start !   . D  ?i @ hback_section F 3 
=@ <"    & D msection %    ?z &    @-*S'    @-](   @-S)    @-z]*  @-!jS+  @-&],  @*]-    @-eS.    @-k]/   @-VX0    @-Z(`1    @-T `2    @-P3    @-T0`4  @-i45  @-k`6  @mp   &7    ?׍ϳ@txt1a    &9    ?׍c@txt1y    &;    ?(#txt1Ic    &=    ?׎V`txt1d2A    &?    ?׎ltxt1Iz    &A    ?׍j{@txt1d    &C    ?s circle_one    &I    ?Mϻtxt2a    &K    ?Mktxt2y    &M    @(+txt2Ic    &O    ?NVd`txt2d2A    &Q    ?Nl`txt2Iz    &S    ?Mj{txt2d    &U    ?s circle_two #   .[    @l     3` txtSumIz a  ]ȉg  Jpm  ) @ @ @ @ ?      txt1Ic   text  32,344 O 
   one 	C     ? ]  mgZ$娀      ^   _  2F` A 	a     ? @ @ @ @ @ @ @ @ @ @ ?,     txt1d   text  99.8 - 127.5 = -27.7 O @ @ @ @ @ @ @ @ @ @ ?#   	  txt1d2A   text  1,323,575 O @ @ @ @ @ @ @ @ @ @ ?"     txt1Iz   text  1,355,919 O @ @ @ @ @ @ @ @ @ ?#             _parent   play R @ ?#     txt2Ic   text  1,440,000 O 
   two 	C 	U     ? ] N~;P^  _   @ ` 	a 	g     ? @ @ @ @ @ @ @ @ @ @ ?(     txt2d   text  99.8 - 60 = 39.8 O @ @ @ @ @ @ @ @ @ @ ?#   	  txt2d2A   text  1,900,848 O @ @ @ @ @ @ @ @ @ @ ?"     txt2Iz   text  3,340,848 O @ @ @ @ @ @ @ @ @ ?#             _parent   play R @ ] ^ _ ` ?%   
  txtSumIz   text  4,696,767 O 
   sum 	U 	g n  őFY9a3@    3` o  ŒnY9i     3` p  Œn9s@    3` @ @ @ @ ?#             _parent   play R @      6#  @]q inertia  | @@q   @ TtsPq @ @ @ @ ?      ʠu @  ?*     one     inertia   gotoAndPlay R @ @ @ @ ?      ʠz @  ?*     two     inertia   gotoAndPlay R @ @ @ @ ?      ʠ @  ?*     sum     inertia   gotoAndPlay R @ @ @ @  ?      @ TtsP @              ! " #    ?)     config     bm   gotoAndStop R 
   bending_stress F 3 ɋwl(`˶    6 1   bm   L ì  6    )E    @)xM  @ n@N  ^ O  C^)P    @JKWE    x|34  
B M   n834  
B N     A134  
B Q    @'[@
 R    P    @JKW     0 E    @)x34  
B M  @ n@34  
B N    @ A0P34  
B S    @'[@
 T        q  %    @-Wa       E    @)0M   ?xP    ?iE    @)034  
B M   ?x 34  
B V   b@'u(P    ?i     0 W   b@'u(X          ,    @-g       E    @)0M   @ PPN  @ PO  C^)P    @JJAE    @)034  
B M   @ PP34  
B N   @ P34  
B Z    @'} R   P    @JJA     0 N  Z34  
B [    @'} \          1    @-uY 8 ^  9 _  : ` =F ; a @ORwP< b ; = c  P    pLIK
  
 fDlep|nL b|nXL b@LhH\MhT bx|ntwLxx >    @'U     b  	 f  @ ?  0@ f  @ k(A c      py 8 
 f$T˰`Đ `Āǐ ``Āǀ` `v `` `Āǐ `  oĐ( `Ā `İ`Ā `Xe B    ?N] | @@ v  @ TtsP y c  @  Ɂf!M`ے *Jʚi`@  w``n  UVUUt@  nZaI ɀ ` @  dATMa% ɪj̚ZW@  ZtNa3  VuU@  PGa:    lx0@  FAaZ U"ia@  =;aj  *USfJ@  3>5Mao @ ( ci4@@ @ @ @ @ ?*     internal     bm   gotoAndPlay R @ @ @ @ @ @     p x  
 f$tǐ `Ġ`Ā`Ā ``Ġ`ǘ `ļǈ ` `  o'`Āǀ` `ǐ `v `| `ǌ ` ``Āǀ` `  ĐǌĠ`ǘ `((Ā `e	 `Ā `İ`Ā `Xe B    ?N!0@ @ @ @ @ @ @ @ @ ?    z  آ @ z ?6     normal_distribution     bm   gotoAndPlay R E   p k* 
 f L `ĐǌĠ`ǘ `((Ā `Ā `ǰ(` `  oĀ `)   `` `Āǐ `Ի `Ġ`Ā` `ĀǼǘĜǰĀ `  )Āǐ ` `Ā`e ` `tǐ `ǰ(` `Ā `` <  ``ǐ`ض `Ġ`Ā`Āe ` ` B    ?N @ @ @ @ @ @ @ @ @ @ @ @ @ @ ?       p ˣ( 
 ftǐ `ĐǌĠ`ǘ `((Ā `Ā `X `` `  oe	 `H `  4e( `h(e ` `tǐ `ǐĀĀ`̶ `  #((Ā `ļǈ `(ļ` `Ā `  Đ` `Āǐ `ǐĀ` `Ի`e C   	?N!zz  ر @ B C z ?6     normal_distribution     bm   gotoAndPlay R @ @ @ @ @     p ( 
 ftǐ `ǰ(` `Ā (Eoļǈ `ض ` `ĐǌĠ`ǘ ( ((Ā `` `(Ā `v( (Āǐ `v`ԻǼ `v(Ǥ`Dq B  9  C  @OG#D . 2?D "    Px  /  E   1@OE$     a1`p  %ouy F   ?C#X    P*Ӊ 	 d G  _@Ih#H  F@OM'I   u@OK J   1?ON0 '   pƀ3 
 f1 ǐ `ض `H `Ġ`Āǈ `(Ǽ (lov( `ǐĀ` `Ǽve (De	 `H `ĐǌĠ`ǘ `((Āe `ǌ (0` `H `((Ā `v ``ǐĀ` `İĀ (nĀǐ `Ā`Ā` `Ի`e K   ?_,@ @ @ @ ?    z  ػ @ z ?6     normal_distribution     bm   gotoAndPlay R @ @ @ @    t", 8  
 ?tǐ `ĐǌĠ`ǘ `Ā `Ā `X ``Ā `4@e< `(( `Đ` `Āǐ `ǐĀ` `Ի` `  o2`eee `( `(( `İ̶ `Āǐ `İĀĀ( `v `Āǐ `Ā `Ā( ``Dq L   
?@M0@ @ @ @ @ @ @ @ @ @      xzF.   %Ō0b M   N   ?N$9yO  <@(y    po[0؀ 
   	4e( `h(  4@e< `((  
 e `(((  ,e4@4e848 `(( p $t P   ?qlQ  
@%NyR . :@
tS   9@%NI| T   ?	aw U  g@yV  N@%N) W   }@%NlX   9?Nal@ @ @ @ @ @ @ @ @ @ Y   H@%N$95    q܀p  
  @(e4 `e	l̀ Z   n@;@ @ @ @ @ @ @ @ @ @ [   @%NE[    q 
p  
 	@(e4 `e	l̀ `  (ļ`ǈ  \   ,@;Q@ @ @ @ @ @ @ @ @ @ v ?    v  @ TtsP @     % , 1 8 9 : ; < = > ? @ A B C D E F G H I L Q R T X Y Z [ \ ] v y ?X   +  config_D bm gotoAndStop centroid section 	      R	     R 
	   finished    6 1   bm F 2 F	/    6 D ff3=h section 0 L ì  6    )E    @)xM  @ n@N  ^ O  C^)P    @JKWE    x|34  
B M   n834  
B N     A134  
B Q    @'[@
 R    P    @JKW     0 E    @)x34  
B M  @ n@34  
B N    @ A0P34  
B S    @'[@
 T          5    @-Wa       E    @)0M   ?xP    ?iE    @)034  
B M   ?x 34  
B V   b@'u(P    ?i     0 W   b@'u(X          <    @-g        E    @)0M   @ PPN  @ PO  C^)P    @JJAE    @)034  
B M   @ PP34  
B N   @ P34  
B Z    @'} R   P    @JJA     0 N  Z34  
B [    @'} \    A    @-uY H ^  I _  J ` =F K a @ORwPL b ; M c )    a.p"  	 f,nMJ N    @'U     b  	 f  &@ O  0P f  @ k(Q c     t$ZF *  
   tǐ `ĐǌĠ`ǘ `Ā `Ā `X ``Ā 5  o4@e< `(( `Đ` `Āǐ `ǐĀ` `Ի` (e `eee `( `(( `İ̶ `Āǐ `İĀĀ( `v `Āǐ `Ā `Ā( ``Dq S   
?FDpT   @%NqlU   ,@;QlV . @9gW    @8No X | @@ q  @ TtsP t c  @ @ @ @ @ @ @ @ @ q ?    )    hT`  
 f]8VV?P R  q  @ TtsP @   