FWSt x _    'C3ff  $1$hm$qF4k6dQsp6R16V42gVfQt0   $1$.z$unCGv4k6mutoN0CLmz2PO/ ?   ]B@   333%\_ 333%\_ 333%\_ 333%\_ 333%\_ 333%\_ 333%\_ 333 @NP-1Bb<ňs jU.bDLy#(FXiZaS'bh[/)qք@._yH+Q~|9v\z߷ʧ=Cu;C#v gg@__@I(2w'@R{PPhR[$;'ΆՃ
yېaZ
v|<jOn}o  s    Ejj no* 333  (LV29`(~ݩX'YeK )`
nf]@"%0eQ3S _Ϟ ?     roller_support 	       Ų' H   @   ?     roller_support      __t      $ayV ?     roller_support_dimensioned ?     roller_support 	'          Ų' H   @   ?     roller_support_dimensioned      VHj   fffd:fjCx 333 0ԅ
8,h]gs:ٛy d/D@d@\9Bvʆ ߐhC
l eƭZZգ  
ʥfM5 ?     pinned_support 	        Ųp( P   @   ?     pinned_support      __      # ?     pinned_support_dimensioned ?     pinned_support 	-   	       Ų*( P    ?@@   ?    	 pinned_support_dimensioned     
 h_.      3ff$ ?    
 beam_short_(200x18)      h AZ      kkk j/(`c   333 0ngܷe,cȳ-jgqucJX)= J"k9e.ϹJ=Q `;A´ ?     beam_short_(200x18) ?     pinned_support_dimensioned ?     pinned_support ?     roller_support_dimensioned ?     roller_support      h/5!      %c!{  ?,     short_simply_supported_beam_dimensioned 	      
  @   @   @#Id    Ų١(P   @d     @vA  ŲN5Y   @vA	   @   ?,     short_simply_supported_beam_dimensioned  "    W83I   (  %@d0 sj ?     distributed_load_arrow 	        @   ?     distributed_load_arrow      _z.  (  %@x  ?     distributed_load_segment ?     distributed_load_segment ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow 	N          ]?  ?P    ?w   t@ O @   ?     distributed_load_segment      Ulo <   %VsmNp ?     arrowhead_3_pixels 	        @   ?     arrowhead_3_pixels      _t_  <   %n y# ?     arrow_3_pixels ?     arrowhead_3_pixels 	        @   ?     arrowhead_3_pixels 	            @   ?     arrow_3_pixels      _      %y` ?     fixed_support_dimensioned 	          $ @   ?     fixed_support_dimensioned ?    
 beam_short_(200x18) ?     beam_short_(200x18) 	      
     @   ?     beam_short_(200x18) ?    
 beam_short_(200x18) ?     beam_short_(200x18) ?     fixed_support_dimensioned  $    o      %l
7nk	@ ?%     left_cantilever_beam_dimensioned 	J      
  I?    I?    )@  $̝    @   ?%     left_cantilever_beam_dimensioned ?     distributed_load_arrow ?,     short_simply_supported_beam_dimensioned ?     roller_support ?     roller_support_dimensioned ?     pinned_support ?     pinned_support_dimensioned ?     arrowhead_3_pixels ?     arrowhead_3_pixels ?     arrow_3_pixels ?%     left_cantilever_beam_dimensioned ?     fixed_support_dimensioned ?     beam_short_(200x18) ?    
 beam_short_(200x18) ?  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 ?  d  nr theRandom length igap Math floor iflag j swapTemp theIndices theLength random theCopy theGiven $ ShellSort2  theRandom theIndices    N<           R< A A A         H g         I                           H     GN  NH    N     GNO   G O 	 N 	  	  GNO 	  G O     P            R % TraceArrays  theRandom theIndices J    N<         <       H   P . FillArrays  theRandom theIndices theLength y          < 
     H M             RO 	      GO P ) CopyArray  theGiven theCopy theLength U          < 
     H )     NO P  ?  O  theRandom Array SectionIndex j Math random ShellSort2 JUST MADE THE SEQUENCE  MakeSequence      	      @< 	      @         <    H M              RO       GO P        = & ?  % UserValue userResponse StripAnyUnitStrings Math abs bCorrect correct_answer IsItCorrect checkmark gotoAndStop correctCounter GiveTheCorrectAnswer Correct!!
Well done! The correct
value is
 correct_answer_string . outputString sFore sAft LengthOfString LocationOfSpace   inputString indexOf substring outputstring LocationOfComma , length isNaN  response user parseFloat tolerance diff correct " EvaluateAnswer  correctCounter        =<          R       =<  .         	R 

P  )         	R G G 
>$ StripAnyUnitStrings  inputString  A A A A             R<  I    #               R          <             R<  I    k   N              R      G     R  G  I > J    =   >   J> IsItCorrect  user correct   A      !=    =        !=    > "z?{G< # $ $< " #     RH   >    > ?    ?    r!L 3 RWع6S \ǲ0+|Ҁo,pp˃	 ]^Su-ylц]@L	B*;	>5 M-GE7]c'"eI[/r l Qغѧ<>+J) d+7M[x<]:yβP-*=uii=3рX.L,=$JV3!#ҠR;뤫5;Y~79J{iü2dJ{ iS\(.Xl׽Vrgn.vd6[i6	S.wd,H)q7Q*RR@)!$ rPWJO}.aHݜ&
@Y7W$ʅ46u'1:_+Z|6tɽ2#iiϒ\ H	GB,;).$O ր&':П@ X)
 G`` y@'	 8~   ?o    VerdanaK      /u1\R|b#@R0Qn	V	|				N

G-E1	o,i2N)e5A6Ts 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
,B- 4Cn̋:0 I̔v  5i l;%#.s8|k].PX3c׀ofݮh)*O	 4 (wI/}ozkgE/	3\].	$%Bak[w_ej1IT(R/ 5LἸvd>*졸mvQ[NO 5jx*=ikUkpd#+*fL2Z (ZKdrM؂V`?)arv%+RM mD/u( /[(˾׽{j6ۇU.r!-p 5gnf /(RTUW@6JRҩ:e& 	RsZG-͔)r5Ot6ٷ6E3 OL-hg1B-Tuз]>;mRIk]A(i@>QDXi|EYĠ-&۔eGz 5jZy*W7rI@ 5gbekq]Bnpȡ))kN?[ϔVZrk}LWdS)& c?V?& .8uwYJP՘UGç.*@"LP9K N s'+y )RxZo-Bi@\ݶ]ۤhCn{dK 5fӮǝvp#&nԽ I(bH[	"F6auO] ezX٬0
t(͖wd=5qn۴֬~Ҧo\u);Pͱ imvZϛ@`KY{D8dPa9[Nbұt0 5IfybnQwgTR{]u 5JVy/<F*q
Or<] 5i ϊyxr\mz\*=T،'`-QKp2l΅}\ I6 XKܛn7@ 5O=^zT+qn
DF2v%'ȝn5fuﶣBS#ZtZۓ{zq*RJU mL/$T\ (˩UC,ta-Hw Ҫ*K7 wherX-~vV]f8 5hz[Z]
Ǯq2e7	qܺn9(OL3jPf_YQv;FrVhh),Dmkt9m ja,ٌs9fGU ڪ 5fvOtd%i3@- ̗,iL^Z1bd
Sh[MC~yh:<p 5ix*MwW
CюD7 5ix*W}సS-B۩  5gek~\'/j& |BAB@ 4?ݷnZn|

6phuЀL\8lNmʰр鐃TUk\oyv 5kyWF8T-`p 5gv!^'|z6!o 5axT(;˹U?4ق6g6zڴȎ0yZ ;G22y(pm۸ 5O,☲N9}מn08U(U_n  5iwRn09R 5j6wrqݔ=ڽ|)|cqĨ]xX 5lyWF Z1⇵\2 5f݆ˀnS9 3 !=qҙ:t%*PyJR60h.lWmk6f4 sYLM0=4Ϛˀ)Ӏ)ll: g45gHiujԨ="xT5  LVc`9@2]% ؈ynP9hy2V#i. A 5k63 9^!lFiA22ZS%^δ4A3l,@T->8ˏ75>4 N 00
͢w6\r9f1 A@Q댞#D9(	RCT\ᴥD)/|4eG>9sb 5kf S4h䋉E~?
#A
 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
'*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 
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	 .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%   !"'(),-./0123456789:;?ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz  ^ZT--rrxR?Z/9cg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   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<    	*    g2p0         percentLoaded 
  Y`@ ?   ?  percentLoaded this getBytesLoaded getBytesTotal Math floor %            R          R d        R    G          R          RH           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 @ $	 i @ 	 i @ @ 	 i @  	 i @ d	 i @ @  	 i @ D	 i @ @ 	 i @  	 i @ x@ 	 i @  	 i @ \@  	 i @ <@ 	 i @  @ 	 i @  @    & )@ HH  @ @ @ @ @ @ @ @ @ @ @ @ @ ?      @   
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_ebkf_a 5NR\wջfs!b_~c_o۳&1 5gd]{]<}[@mJF1*Do*JIk,R/&Xf (K]rC8t@-nz@dRmkO{rgnp%Oiy幺]}[dEw` 5f)i[v.`SJDTiWq&H >ve\pf W_t}ӟ6-ܶ R[5pc1~z'<|@^;I%ușaMl>  5fnlQݯҵ$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^
~ 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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
r̠		<2qu<)-2mk7][\ax(=seLL76uW#Ȼ=A#5hyW-DIKTNbOـ/3 \
VB+rdv1@+j8XKA*2p؛n6\o6DfJ 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@  !"'()+,-./0123456789:;=?ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz  hFuuF/M:_&j&wvg~~bh~a^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$H  Xs)7H\X{YXP>$  XU`  XdR`  X:Tt( Xd[4`  XdI`  XdH`  X:Z4(XdS`  XE-t`  X.`XgWt`  XdGt`  Xd_t`  XdS`  X:]  XdIt`  X:_ bXdY`  XCP4( X N`  XYR` XU`  X.x`  X"S`  XNt`  X?P`  X4A X]I X5?WX6DS X5FX"13  X6DWj X]F  XXTL  _!tLj XaK  X^  X]q  X]F  X5G7 X]Ig X6DWg X]77H  X7= X/XYEH XHH  X+cwH  XHH  XHHg X/>WH  XMGKq !!'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$   + ` " 	* fwnvMl $   , ` " 	*  33wnvMl      - d>     ar0r    .   '   (   u@Dc )       f&I )  x     f&I '   34  
B (   u@Dc 34  
B +   @@'t@
 )        0 )  x      0 ,   @@'t@
 -  pl        . ì      / PnH 
 f%K9Cj~)_:     0 Z?b ܄ 
 f%iwgF     1 N%i- f +~)_9wX (   2 `$
 	* fwnvM (   3 `$
 	*  33wnvM K  4    '    @)x/  @ n@0  ^ -  fk32    f&I 1    @JKW'    x|34  
B /   n834  
B 0     A134  
B 2    @'[@
 -  fk32     0 1    @JKW     0 '    @)x34  
B /  @ n@34  
B 0    @ A0P34  
B 3    @'[@
 -  p`<   4   @-Wa     5 Xg  	* f|Mf     6 Xg  	*  33|Mf    7   '    @)0/   ?x1    ?i'    @)034  
B /   ?x 34  
B 5   b@'u(1    ?i     0 6   b@'u(-  p0        7   @-g     8 Xl!   	* fnn     9 Xl!   	*  33nn   :  
'    @)0/   @ PP0  @ P-  fk32Ҩ    f&I 1    @JJA'    @)034  
B /   @ PP34  
B 0   @ P34  
B 8    @'} -  fk32Ҩ     0 1    @JJA     0 0  Z34  
B 9    @'} -  p@     #   :   @-uY  %   ; `	000  f f$=´tP0  ;   &   < _a   f f%l0\+A$9  <     = Wԉ 	* fB@  = =F    > P߇ 	* f  RI  > @ORwP &   ? o__   f%7fa5Y ? ;     @ @  3ff% 
   @  A   A h"P   
* fIF80nSx%SBܧ~    A   @'U    B b6  	* f  &@ ! B 0H   C p* x 
 fjh6{H<b8C =<qP zN' " C  @ k(# @   M   D w@ L 333-WwՠSc)`3<	L c`
L[665h      E h`Q"5  IlKVbnfff
    !-ya`,5%w"OKbγB=VfXT'XT 	 sYT=گ,Je菮ڇup`	W  6   F j4J8      %1"`-FOh@eލ ֍r "   G `	# 	      EVb_ :   H `1(h 	    2w~ RjfmrR~|  x   I o-g      %i>ZZ*0V0(Qn7B?vt{FӢ>Q0̶D@$MَsB#7f 6]9 <!z"   J `# 	      5Vb_ "   K `# 	      9V_ "   L `# 	      1VR_    M XP 쐀 	      D*    N XP 쐀 	      D    O o:8      %rʨAjUj³n#Aj6ȫjҀo      %ֽXKILMZ;dl<҅+e4)A[/ Ix
AV-
h9UEZl<U a[ H*xAV-7R
b=.-/
oU삭 )   P `6p 	      	9VRJf)z )   Q `6p 	      	5VZjh)z  Q   R D$         @;)9yq Kg<rMRΓt+eap
' 6    S P 	          T P 	        O   U τ  L 333-,?rsccVzYlc>L tu1ژef; T   V xD\ ZF8    
    !=0ȟJX	tHCp0ØlUx38D TP #QX
[$1-om@[}4
7bcW Hc+.cGC  
    %ɄY؈AYsb '$6@.Rm͈\ۛ f!6"rAlD0,ؖلYb #d6@.Jm͈       !%@B2
C4
ʢ'Z] QV](t!Ơy+1r+\$l|       %ΛU؈U b 9AV
sUl<o*x=lD<
"z-q[  8\[ 
rl<? a[ 
rl<廈*xʇU a&\AV.W D   W hے 	    	RrRhj RrRjh ~le Rdjbz    X P 	       D   Y hE0z  	    Rmwj RhrRmwrRdmrR~|  ;   Z ]" < f 3%z>Y{U,,KZI?Ui	P    [ P4	 
 	 .   \ `	/ 	*      RFLb 1   ] ` 	*     	-VjYs`q̰@ 	  ^  ?    
   given  D   E   F   G 5Vf] H   I   J y K 2À	 L YS`
 M u@ DR4 N u@ 52 @ @ @ @ ?    
	   centroid  O  P B  Q D  R ɀ_M(R
 S  T @ @ @ @ @ ?    
	   stresses  U  V   W 6 X {  Y 	` Z LZ [  \ a ]  @@ @ @ @ @      6$ ^  @ lM( section z  _ hD 
 fx T_1ڗ@e,"-S !Ke,B|c` `oj]H.;Ct 01.LwCz   db5.oRL `S81ߘ'8  `8[?0!`  p z1.KD[v`2"vv`x0?0#LKF#t `cnSD !mKe42 `S qF8b]p  fR0HD[RMr0?0% `c1 	F3X`# j]>1F@ < _  @	N],`п    ` T    @a8eÅ ;   a  - `   -  n`C`-  n`C``        
   <   b T   f 3ff  R0ppM<3@N"{PUpM :   c  - `   -  n`C`-  n`C``               d ]_0Z  f kxV:     e d>@ 3ff 0pd     f d>@  ap` d   g + d  Pב  e   f   d  Pב        alpha     _parent   gotoAndPlay R    ;   h hRp 	*   }_f_n T_tn Tfh|Bn~ b   i + d  Pב  e   f   d  Pב        beta     _parent   gotoAndPlay R    ;   j hh 	*   |Bf T_tn T}|B_vB c   k + d  Pב  e   f   d  Pב        gamma     _parent   gotoAndPlay R    ;   l hJz 	*   j}n_fvBl T|Bj}f_vB c   m + d  Pב  e   f   d  Pב        delta     _parent   gotoAndPlay R    ;   n hz 	*   ~邒~n_ TpT TvBnf_vBf e   o + d  Pב  e   f   d  Pב        epsilon     _parent   gotoAndPlay R    A   p h@ 	*   j}_f|B|BvBr T~邒~n_ TJ c   q + d  Pב  e   f   d  Pב        kappa     _parent   gotoAndPlay R    I   r h8 	*   ~fvB~鎘~ T~邒~n_ T~frvB_ln f   s + d  Pב  e   f   d  Pב        finished     _parent   gotoAndPlay R    (   t `# 	*   pTvBvB}tnl 	?  u  ?    

   collapsed  a   b  @ @ @ @ @ @ @ @ @ @  ?    
	   expanded  c  
  g $
  h  @ v@@  i   j  @ @@  k 2  l b|@ 
 m R  n cD@  o \  p d@  q $  r dԀ@  s    t U@ @ @ ?    @   G u @@  6   v D40  f%9O P
q%)q^P5 %R   &   w @S$  f 9O P
q97g2d 	S  x  ?     v   w  @  @oL @  yXmS @  (k @  wޱl@J @  ~' @  eŗ4 @  M&uyF @  vv @  v @  M&򌆺 @  eh0 @  ~O| @  wޱ? @  x @  yƧ6 @  @Mo @ ?         @   ` x @ TtsP c @  @ @ @ @ @ @ @ @ @ ?    (   y `-0$ 	* fjnvMn (   z `-0$ 	*  33jnvMn (   { `-0$ 	* jnvMn  &   | ` 0 0 ̙  4JpGoi~Z   }   ;    @)0y   3@'
);    @)034  
B z   3@'	Sd    @-a;    @)034 z(0 {   3@'	S|        d } ܨ @ d ?    @ @ @ @     ~ _R      #+= ~ @_!z    P 	       >  @[>     g% P     #Ж  ?   .@FNc    P 	       @  B@N^p?    
 beam_short_(200x18) A 
 @ ^ю?     beam_short_(200x18) B  @ ^юC  & rx D Z  @$MzB`    P4	 
 	 E  @JV    h1R  
 f 4t5.KD[ԡj] "vĻE1Ph  oz?0K<B  	 0D K JĻ|cK <b]1 #R顈 `b])g;:$ǃ@?0 ;R j]1.ޥP F   @ ^@ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ` ?    ?    
 beam_short_(200x18) ?     beam_short_(200x18)  5    D$  f 9O P
q%)q^P5 %R  	        @   `  @ TtsP" @     $ = > ? @ A B C D E F G ` c ?-     given     section   gotoAndStop R 
   beta  . ì # U    H'    @)x/  @ n@0  ^ -  fk32    f&I 1    @JKW'    x|34  
B /   n834  
B 0     A134  
B 2    @'[@
 -  fk32     0 1    @JKW     0 '    @)x34  
B /  @ n@34  
B 0    @ A0P34  
B 3    @'[@
 -  p`<            @-Wa#       '    @)0/   ?x1    ?i'    @)034  
B /   ?x 34  
B 5   b@'u(1    ?i     0 6   b@'u(-  p0     #      @-g#     
'    @)0/   @ PP0  @ P-  fk32Ҩ    f&I 1    @JJA'    @)034  
B /   @ PP34  
B 0   @ P34  
B 8    @'} -  fk32Ҩ     0 1    @JJA     0 0  Z34  
B 9    @'} -  p@     P      @-uY# >    hXP   	* f|Mf bntn b|MnvM        b6  	* f  @ !     6$ ^ P# section     p ƀ 
 f!T_0 FBuz9KBԺ 0=JR!  `fR.Ke+!$ )  o"~`6KSP`|c1ޥ F#Rv(2#MKtI`x0 KC ~` @  fR0GR! Ժ 0D Ka`x0?0#NF;s @5.b <   ?NQ( A u @@# Z x @ TtsP# ] @  @ @ @ @ @ @ @ @ @ ?    ^ } ܨ, @ ^ ?    @ @ @ @ k    p;8 	 f 
 ` `D~fbj `pj `fj|ǈ~r`h `lv~ `pj `0opbje =    @'Q@ @ @ @ @ ?    ^ } ܨ6 @ ^ ?    @ @ @ @     p)	H 
 fc&  &[Q Ċc @t `z?0K<B  l;  0or0>1ڗPv `~`6;R pc.K푈c   0@81ڗ@	E8JԺ|c !o#Cv` 01.nFe0 >  @ Q@ @ @ @ @ ?    ^ } ܨ@ @ ^ ?    @ @ @ @ T   pji3 
 f c&  g2t `@81ڗ@óu c"ڗ@ó(c`% `0ob]푈`j] !D[RMj]C) Jz@1"0z?0K<B  ̥b]1lW#BԺS Ke3R顈 `~`>1 0db?0"pBԺ 03)_R$"-uS9p 0 0n@5.g# `SD !mKe42 `r0=Je0 ?  @	NQP@ @ @ @ @ ?    ^ } ܨJ @ ^ ?    @ @ @ @ Z ?    n    ph퀊 
 fc&  GCR! ԺEJv! j] <Bx0<v 0oz?0K<B @ @  @'QᒀZ  @ TtsPO @     $ = > ? @ A Z ] ?-     given     section   gotoAndStop R 
   gamma  . ì P U    H'    @)x/  @ n@0  ^ -  fk32    f&I 1    @JKW'    x|34  
B /   n834  
B 0     A134  
B 2    @'[@
 -  fk32     0 1    @JKW     0 '    @)x34  
B /  @ n@34  
B 0    @ A0P34  
B 3    @'[@
 -  p`<      #      @-WaP       '    @)0/   ?x1    ?i'    @)034  
B /   ?x 34  
B 5   b@'u(1    ?i     0 6   b@'u(-  p0     P      @-gP     
'    @)0/   @ PP0  @ P-  fk32Ҩ    f&I 1    @JJA'    @)034  
B /   @ PP34  
B 0   @ P34  
B 8    @'} -  fk32Ҩ     0 1    @JJA     0 0  Z34  
B 9    @'} -  p@     s      @-uYP >    hP   	* fjnnwvMl b|MjfnvM        b  	* f  &@ !     6$ ^ @ l-(P section {   p 3 
 f2e0H<Bt `@81ڗ@JĻ@9p `@81ڗ@   o%fR.D[ 09t `[5.q#2v` 0412! `~`>1    "8[?0!` 03)Xoe,SĻ@9p(:$Ժ 0GD )j]    !@81ڗ@ `~`6;R j]3)bK;s)`b]"g;Ժ 0   nb]);R j]6PJԺ 01.nFe0 <    @	NQʀi u @@P  x @ TtsPP  @  @ @ @ @ @ @ @ @ @ ?     } ܨY @  ?-     given     section   gotoAndStop R @ @ @ @      x;d9%s   %-w =       PB	 	*  >    ?
a(    XT   	  / S~} ?    ?1a    P*Ӊ 	*  @  (@'M%v0    ?      u 5FAnm	.]$@.%:ܔq'
 ]
epqЫBه*Iw;e'bn @4$ZDl	dC$Jot2	q[ 3\t~p'Tܿ 5ITmRΦ4:F զ& 6r^ਗf0c JS7$&Nf 0nF I Zkl-((&J~k     Symbolps    P+x  	 jhd  A  Ŵٙ9O     P	 	 8 B  ų(9\5     XF`ր  F[З55Ɵe@C  @ Ps    P2 *  D  `Qn    P( *  E  `ZnF    ?\Mv0(    hh  
  40 `(( G    ?Pv0H    ?ov@    P *   @ I  @Nr	v@J    ?"v0K    ?4v0(    hh 
  8H `(( L    ?v0M    ?6v0N    ?Iv@(    hh  
  D0 `(( O    ?*v0P  (@'M5O    ? Q    ?qOR    ?!OS    ?9OT    ?#OU    ?6=OV    ?OW    ?8OX    ?JO(    hh  
  4@ `(( Y    ?+OZ  Ŵٙ9L [  ų(9Yc\  @ PM ]  `PH0^  `YAH0_    ?[9O`    ?O=Oa    ?qOb    ?BtS(    hh  
  0( `(( c    ?eOd    ?n-Oe  @NpO@ @ @ @ @ @ @ @ @ @ f    @%DBXh*    `h$ 
 	8( eH<4 `(( g    @FXh@ @ @ @ @ ?     } ܨm @  ?    @ @ @ @  ?0     centroid     section   gotoAndStop R Q   xd`AS 
 f >RcV! j] f"-v`x0 K#s 09!&8 (z@;R r0C)K;2t `@?0 ;R ~`D "@ o~`6;R pc.KL `[   d?b
` o 0 * .r  01CԠ * Y   01RF8i `z=J  * .r  01ŘQf8 `z=J h  c:  @ TtsPr @     $ = ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _ ` a b c d e f g h i   ?0     centroid     section   gotoAndStop R 
   delta  . ì s U    H'    @)x/  @ n@0  ^ -  fk32    f&I 1    @JKW'    x|34  
B /   n834  
B 0     A134  
B 2    @'[@
 -  fk32     0 1    @JKW     0 '    @)x34  
B /  @ n@34  
B 0    @ A0P34  
B 3    @'[@
 -  p`<      P      @-Was       '    @)0/   ?x1    ?i'    @)034  
B /   ?x 34  
B 5   b@'u(1    ?i     0 6   b@'u(-  p0     s      @-gs     
'    @)0/   @ PP0  @ P-  fk32Ҩ    f&I 1    @JJA'    @)034  
B /   @ PP34  
B 0   @ P34  
B 8    @'} -  fk32Ҩ     0 1    @JJA     0 0  Z34  
B 9    @'} -  p@           @-uYs A    hZP@   
* f~A*xa p1 <A0MfT         b6  	* f  @ !     6$ ^ @ l-(s section     p ɆH 
 f T_1ڗ@CPԺ|c  ðj]B"F%  ` 0 lGS!  `  o@81ڗ@	E8JԺ|c !o#Cv` 01.nFe0 0   fR.X;wj]41 hD[PPq <  `    P"	 	 d =  L@8OE=L    3`     Px  /  >   @8OFl=    3` u u @@s  x @ TtsPs  @  @ @ @ @ @ @ @ @ @ ?     } ܨ| @  ?    @ @ @ @ ?  L@8NU@   @8N	X A   @N9U    P:	 	* P B   @8N?aUC  ?@8NCU'    i  	 sLtd{p D   @'4U&    hQb ߀ 
 4@ `(( E   @ LUUF  6@'WAUG  D@%oUH   '@%AU`I   '@cUJ   '@%BU`K  D@%LXU`L   '@yUM  ?@8NkUN   @8NmU     p,    %H,5W O       X$Pa   	 >1 P   @ $dQ   $?GR   $?%QGS   $?GT   $?'GU   $?G    P *   @ V   @N;GW   $?9G@ @ @ @ @ @ @ @ @ @ X  .@'Ɋ     ? Y  .@'<     ? Z  ?@8NA) [   @ 2Q &    hb ߀ 
 0( `(( \   @ I͊]  6@'T ^  Ŵٙ9 _  ų>96M`   @ la   `mIb   `u͂c  D@%x d   @l5 e   @8Ni f   @8Nk9 g   ?Ebh   @OFbi  Ŵٙ8f     XPa   	 p j  ų28qMk  -C@l    `Am    `!łn   ?#͊ o   ?ي p   ?6ي     P *   @ q   @N9) @ @ @ @ @ @ @ @ @ @  ?    r    @NA4    hϙƀ 
 ,e,D4e,HL `(( s  ut    @N6=  @ TtsP @     $ < > @ A B C F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _ ` a b c d e f g h i j k l m n o p q r s t u   ?0     centroid     section   gotoAndStop R 
   epsilon  . ì  U    H'    @)x/  @ n@0  ^ -  fk32    f&I 1    @JKW'    x|34  
B /   n834  
B 0     A134  
B 2    @'[@
 -  fk32     0 1    @JKW     0 '    @)x34  
B /  @ n@34  
B 0    @ A0P34  
B 3    @'[@
 -  p`<      s      @-Wa       '    @)0/   ?x1    ?i'    @)034  
B /   ?x 34  
B 5   b@'u(1    ?i     0 6   b@'u(-  p0           @-g     
'    @)0/   @ PP0  @ P-  fk32Ҩ    f&I 1    @JJA'    @)034  
B /   @ PP34  
B 0   @ P34  
B 8    @'} -  fk32Ҩ     0 1    @JJA     0 0  Z34  
B 9    @'} -  p@     	     @-uY G    hP   
* fjIA*1胼Mv&,\' ܧXIN        b  	* f  R	 !     6$ ^ @ l-( section < ~ @=  @aG>   .@9eЏ?  B@I͂?    
 beam_short_(200x18) @ 
 ř8.f_ ?     beam_short_(200x18) A  ř8.f_ B  & pa̾C Z  @ Mql D  @Bmc    p ' ? 
 fT_1ڗ@F#Rr0>1ۘCPԺ|c  А x09M@   o!@?0 ;R j]1.ޥ %2 pc0#OptI`x0 ! Ժ +   @5.g# `SD !mKe42 `|c"v) Āb5.`   !b?0!q# `~`6;R ̥E0!`2t̥@9p 0   n fR0HD[RMr0?0e4BԺSC)F8! j] R `  	b?0!q# e 0  E    ?NQ( r u @@  x @ TtsP  @  @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    ?    
 beam_short_(200x18) ?     beam_short_(200x18)  } ܨ @  ?    ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) B    h.@ 
 fT_1ڗ@óu c"ڗ@ó(c` F  v      a)%@p  %ipuy G    ?` H   @&aP    PБ+x 	 jh I  ,@N[@ۀ    Px  /  J   +@&^ K  Y@fL  o@&jӠ    PՉ
 	  M   +?oӠN   @MlH O  @@Mo    p ɷ H 
 f9 #t `c)M@B `fR0H<Bt `  odb5.G# `SD !mKe42u 09t `db5.oR( P   @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    ?    
 beam_short_(200x18) ?     beam_short_(200x18)  } ܨ @  ?    ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18)     p I 
 fPm.pD[j] "v`j]H.EJ"%  o@?0 g1lԺ 06BԺ 0=JR!  `F@ Q    ?NQQ`     Xmt   %>F@ R  4S   @8N``T   +@N[A`U  @@8No V   o@FkW  o@_Nn X  o@8NqфY   +@8Nt Z  Y@'f@ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
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 beam_short_(200x18) ?     beam_short_(200x18) @ ?    ?    
 beam_short_(200x18) ?     beam_short_(200x18)  } ܨ @ E F G H I J K L M N O P  ?    ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) {   p  50 
 f 2e0g#Cu 0D KB  0C)óJԺ 0?0t `  ofR"ߘhe0LԺfR 8  `.l  ;R ~`@1   [  * .r  0 * r 
c1q8 (z@  L(6ڗORԡԺE@K`Ԣ)@ KԡtĻSE1mK   n#E.K1lԺ 0D  t `SK<Br041o Av`SB  [  @	NQ( @ ?    
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 beam_short_(200x18) ?     beam_short_(200x18) @ ?    ?    
 beam_short_(200x18) ?     beam_short_(200x18)  } ܨ @  ?    ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18)     p D  
 fRc1h!ǈ@5.;R Ļx0<&%#Ժ 0   o@5.g# `db5.G# `SD !mKe42 Ļ|c1    fR0H<Bt `@81ڗ@CPԺ|c  В \   ?NQీ@ ?    
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 beam_short_(200x18) ?     beam_short_(200x18)      yyUYX   %ϢL ]   ^    @NVq
_    @NQ
`  .@'Z
a    @OS~? b    @N~pc    @N_d    @O@X? e    @OT? (    `=@"0 
 ,<( `$(( f   1    h	 
 ,e,D4e,HL `(( g  ~@h    @N|(*    `h$ 
 	8( eH<4 `(( i  3 j    @OIF`k    @NtU@ ?    
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 8e4(De<LL `(( l    ?N_]<m    @ Vq<n  .@N[<@ ?    
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 beam_short_(200x18) ?     beam_short_(200x18) *    `0" 
 	8 e4, `켐( o    ?N_]_pp    @ Vq_pq  .@N[_`@ ?    
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 beam_short_(200x18) ?     beam_short_(200x18)  } ܨ @ [ \ ] ^ _ ` a b c d e f g h i j k l m n o p q  ?    ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
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 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18)    p  _ 
 f!Hv.q 2ǆS9KDX! j] B( 0C)óJԺ   o~`6;R ̥E0!`2t̥@9ptIԺE.   [  * .r  0 * Y  c1q9 (z@ &<S@9"LxR pc.   b]푈`j] DԺSC)8Ժ|c1v   nSD !mKe42 `|c  t `E.pD[j]41    "l;<R<"-t `l;?0!oR;v `b]1e3j] DX e 0    	"L)1܌ve+R pc.h"-uS `2(bB"ڗPhe32   m
 @81ڗ@%1.ME.`L `j]>1KD[R顈 `  b]) * Y  	c1hJc5v e
L  E   @	Q( @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    ?    
 beam_short_(200x18) ?     beam_short_(200x18)  } ܨ @  ?    ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) F    @NT#G    @NPQ#H  .@'X}#     yp%Xļ   %ˆ%N I   *    `	h$ 
 	4, e,8D `(( J  be K  .@'t2L    @OILM    @Nq2N    @N~O    @N\P    @O@lE`Q    @OTbE`R  .@'^(    `=@"0 
 ,(( `$(( S  ò+ T    @N|U    @OSnE`V  ܊@ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) 5    h֦ 
 4eD@@e@0( `(( W  9xRX  @ TTY  @NZ=T@ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @ ?    
 beam_short_(200x18) ?     beam_short_(200x18) @  ?    ?    
 beam_short_(200x18) ?     beam_short_(200x18) *    `	0" 
 	4 eDD `켐( Z  @N^~[  @ T~\  @NZ=~  @ TtsP@     $ < = > ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ r   ?0     stresses     section   gotoAndStop R 
   kappa  . ì 	U    H'    @)x/  @ n@0  ^ -  fk32    f&I 1    @JKW'    x|34  
B /   n834  
B 0     A134  
B 2    @'[@
 -  fk32     0 1    @JKW     0 '    @)x34  
B /  @ n@34  
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B 3    @'[@
 -  p`<            @-Wa	      '    @)0/   ?x1    ?i'    @)034  
B /   ?x 34  
B 5   b@'u(1    ?i     0 6   b@'u(-  p0     	     @-g	    
'    @)0/   @ PP0  @ P-  fk32Ҩ    f&I 1    @JJA'    @)034  
B /   @ PP34  
B 0   @ P34  
B 8    @'} -  fk32Ҩ     0 1    @JJA     0 0  Z34  
B 9    @'} -  p@          @-uY	O    pM
  
* f~3*%r  b~A*xa fT9+.trű\ܧ        b  	* f  R) !     6$ ^ @ l-(	section    pͬ >p 
 fh &T_1ڗ@CAv`zE1ޥ CPԺ|c  R%s`@E1KBĻ@ K%-odb5.K$`j]41  ! j] K%Ԡ `S   * .r  01Lr&8xC=J  c'T_1܌`ԡ(j]>1 e,"-tĻ@5.%Ժ|c1v ME.`싚 s U . =   0 * .r  0 * r %c1ŘQ8b]q BԺ 0D @ `@81ڗ@F#Rv( 01.@ uqb]K;Cnb !D[RM 0?0  U  =  q 0 * .r  0 * Y  c1hJc5v `b]  ;R db?0"Ԡ l; "vԺb]J <   @ eG= u @@	V x @ TtsP	Y @  @ @ @ @ @ @ @ @ @ @ @ @ @ @ V ?    V  @ TtsP@     $ < = V Y ?0     stresses     section   gotoAndStop R 
	   finished  . ì U    H'    @)x/  @ n@0  ^ -  fk32    f&I 1    @JKW'    x|34  
B /   n834  
B 0     A134  
B 2    @'[@
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B /  @ n@34  
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B 3    @'[@
 -  p`<      	     @-Wa      '    @)0/   ?x1    ?i'    @)034  
B /   ?x 34  
B 5   b@'u(1    ?i     0 6   b@'u(-  p0          @-g    
'    @)0/   @ PP0  @ P-  fk32Ҩ    f&I 1    @JJA'    @)034  
B /   @ PP34  
B 0   @ P34  
B 8    @'} -  fk32Ҩ     0 1    @JJA     0 0  Z34  
B 9    @'} -  p@     "     @-uY+    a.p"  	* fpbvMvMtnl        b  	* f  RI !     6$ ^ @ l-(section ?H    m      l@[f 7(?EO670)9 rf6鮩r@    p(;-p 
* 
Px*mMss OA<  xfuD#ζTb!l fuGZLηhda&|-* &^pF<` F'pcsS@I$$I      p(;-p 
* 
Px*mMss OA<  xfuD#ζTb!l fuGZLηhda&|-* &^pF<` F'pcsS@I$$I  ?H    m   l@[f 7(?EO670)9 rf6鮩r@    p(;-p 
* f33
Px*mMss OA<  xfuD#ζTb!l fuGZLηhda&|-* &^pF<` F'pcsS@I$$I  ?     2      ]  ]     ]     " <  ;@*    hT`  
 f89)*JHhY~P ?  *@ u @@Y x @ TtsP\ @  @ @ @ @ @ @ @ @ @ Y ?    Y  @ TtsP!@             ! " # $ < ? @ Y \ ?    
   setup_set1  - ͟Lӕ~y    3`  - ͠ US~
    fc2d #    x
I  < f%E- ȔS%    E    xd6      upfwG-j #fw$v#|g    @u L    30    @m    3`  C $I&N1      0 |   wү < 
   3f B@2t?7Ʀ!$ m2t89fm|rD$* @ 8"f )NܿDJp	 qn_0"a	 f`@2PfB$ 0c2ۗJxb	 ˊS[;aɏ n_11&ũN|,> ,a ˌ?; Pa	 q[0".ň&s.)N qmLf`E)<a)N qa8@1F[r	O YV6oJwĈ @f^89fm|rD$* @ 8@F<B&	ԧn_/G@   eg`    d5L@ f O1Ykv\g)ARt짏)r w~%_)q f n 41ʴ8  f kir_ZɓxL;RGֽŉ@+Sj%kMgę@=
fni|z,Z77<|yM0>@4_K,z  <    a     C1k	3/f 8И=<d ?    eB8, ff N@	ʥP@0֒ntIЩb4P&D&v& ' 9flj~kS|Cg݀idVjt^`  B'BOJ
:h(và۰tuݜPQyM@   u    d6= <   3%j=e	٦V5ݕqZ4ѻAIg@	 6ZYMZGez%Xǌ~[(
qJ{*Nx;.RҠ 4    h5.P   	   3 fpjfv~r`|ǈ  ;    a    3 oSfN 91`<,& Л#<`Ӎ	3 4    h5.P   	  fpjfv~r`|ǈ             3`      uU@             @'A       &I        `      uU@       =?B      QuestionThisSet           Set1_CorrectCounter           TotalQuestions_Set1              MakeSequence = #     "@    ?  E Inertia MaxMoment SectionHeight MaxStress yTop yBot nbsp  equals = yTopFactor cross section yBotFactor yRatio span RandomValue RoundToStep index beam beamLength text Math formatDecimals  m positiveMoment round AllowableStress DetermineControllingMoment question For the beam shown, the allowable compression bending stress is  AllowableCompressionStress  MPa, and the allowable tension bending stress is  AllowableTensionStress  MPa.  applied M Determine the maximum value of M (in kN-m) that can be applied as shown to the beam. correct_answer correct_answer_string  kN-m P Determine the maximum value of P (in kN) that can be applied as shown to the beam.  kN w Determine the maximum value of w (in kN/m) that can be applied as shown to the beam. pow  kN/m LabelYdistances inertia DoneItOnce MomentBasedOnTop stress BendingMoment MomentBasedOnBot TopControls ControllingMoment BendingStress sigma y abs NoSteps theValue StepSize range ValueMax ValueMin RN random  ConstructTheProblem     A A A A A A <  	G G< 
 N 
N<  N N< 
 <    H  	               =<     ?    =     I ?   N	             R GO 1   N	         R GO A     IL       IL       I    I      IL       IL       I            
      =    ,  d      =  
     R       R  
      2      =	 
       =          = G  G !G "G     IL       I `   #N $O  %G & '$G    &     RG (G )     I g   #N )O  *G &  ')G    &     RG +G      I    #N ,O  -G	 &            .R ',G    &     RG /G      I m   #N )O  *G	 &     ')G    &     RG +G       I ~   #N ,O  -G	 &            .R ',G    &     RG /G      N 0R  N 1 O 2 >G DetermineControllingMoment  stress yTop yBot Inertia positiveMoment " 3   4    5=< 6   4    5=< 3 6H   7< 83<   7 < 86< 7L    @  4 !   8    9= ! 
   G G 7L    @  4 !   8    9= ! 
   G   7L    ]  !4    8    9=	 
   	 ?    G    = s  7L    X  !4    8    9=	 
   	 ?    G    = 8>" BendingMoment  sigma y Inertia /  $:   ;< $     <R> BendingStress  M y Inertia /  :$ ;  < :     <R>" RoundToStep  theValue StepSize 8  => ?     R< >= ? >>+ RandomValue  ValueMin ValueMax StepSize w  @A B< C         DR< >B C @G< => ?     R< >= ? >> ?    txtInstructions Enter your answer (without units) in the text box. GiveTheCorrectAnswer  UserResponse checkmark gotoAndStop QuestionThisSet questionNumDisplay index DoneItOnce SectionFrame SectionIndex shift cross beam length MakeSequence             R P  	 
           R      R 	     R  N	         I           = 
   set1 	    p]/\3*           ( txtInstructions <P ALIGN="LEFT"><FONT FACE="Verdana" SIZE="14" COLOR="#000000">Enter your answer (without units) in the text box.</FONT></P>   [ ?D    st
?p @<    5:V4@]\u` D*̫V3ʪ <U   	1    W1          ( questionNumDisplay 10   z@'cp`0?	    TahomaM      Cq3a|A=9	Z	z				
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:Or<X 5k[y,3nAZϜkvșP  5hz ˒yxv\mzD\*oʋ9j3JK0LuH-`IK@RYݵm]ބmpFBhIH ,;rw|b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 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$b[/Y<nݶf;KXc[P%J I	k]W)7& W#}iQfcV<_  5a:kerg +rc^iPI '8oݘm0 5i6QGVZ)- MX6X'E#!LwǆrW5iFdcA.~Š 5kR1ܣqi^<׹F׮~㈬s*Ѡ 5Lg#=ZroϺ8>7y=beq@ 5i>UDUWsqqvX8 5hwPo27oˏ:D !"'()+,-./0123456789:;=?ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz  ,_F@@OttFDvSJs~e`5ti5xQkN XL"t`  X@6X<X753g X(3Sg Xa\ WPnWI!<  X;>sQ X'L$ XbIX  XLM$  X4K  XN` X<K` X1MT( X;K`  X MX"Kt$Xb"w<  X&7<\XpZ X8C$  _X`  XMT4`  X"Qt$XM\`  XMH`  XMH`  X"Wt$ XMXT`  X/8`  X7` XM[T`  XMG`  XMh`  XMYt`  X"^t  XMQT`  X"^t j XM_`  X%N( X Nt`  XCVT` _Wt`  `v  _Xt`  _W`  XMT`  XDXCMSXAXHS XI6X5S  XHVj XCJ3  X>  _&3j XCN  XCS  XCrV  XCJ6  XK	 XCMVg XHVg XC74  X? X4X?I< X J7<  Xq<  _M<  _I<g X@w<    	U    o 1          GiveTheCorrectAnswer The correctvalue is99.9 MPa (C). 	   ?Bf$	1    hM ) 3ff        UserResponse 99.999 
  @ @^ V    e=% f  ~tV!E:ys2I5(9eI)^s
Xp-W-Wʕlȇ	?     ?    @ ?         @ ?      1	lWd@      6  @ Sa#checkmark  U    uIp= L< 33-xm[i( te <$+< x=C< $	- L]1)@1[vݷ1   ?    
 beam_short_(200x18) ?     beam_short_(200x18) ?     fixed_support_dimensioned ?%     left_cantilever_beam_dimensioned      Tm L OJ9  	-    gP1 @           text -99.00 kN-m 	"       G   q9@   	-    g2P1 @        text -99.00 kN-m 	"       G   q9@   ?    
 beam_short_(200x18) ?     beam_short_(200x18) ?     fixed_support_dimensioned ?%     left_cantilever_beam_dimensioned ?    
 beam_short_(200x18) ?     beam_short_(200x18) ?     fixed_support_dimensioned ?%     left_cantilever_beam_dimensioned ?     arrow_3_pixels ?     arrowhead_3_pixels ?    
 beam_short_(200x18) ?     beam_short_(200x18) ?     pinned_support_dimensioned ?     pinned_support ?     roller_support_dimensioned ?     roller_support ?,     short_simply_supported_beam_dimensioned     m<q (  %^  ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?    
 beam_short_(200x18) ?     beam_short_(200x18) ?     pinned_support_dimensioned ?     pinned_support ?     roller_support_dimensioned ?     roller_support ?,     short_simply_supported_beam_dimensioned     gJU6     %z\P@ ?     arrow_3_pixels ?     arrowhead_3_pixels ?    
 beam_short_(200x18) ?     beam_short_(200x18) ?     fixed_support_dimensioned ?%     left_cantilever_beam_dimensioned ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow ?     distributed_load_arrow 	   ?         ɀ ` M:  Ʉ` '  
 ɀn_͔:  ɀn_͔:  ɀ>`M(:  k׌.Pu   ɀ ` (:   &  ̩beamLength    &  ɀ ` Skapplied  ~ ɀ `   Ƀ` ( Z ʍEccjb@ ?     ʍ\ccccjb@ ?     ɀ ` 9i  ɀ  #   ɀ    @  ?     ɀ*`M(: ɀ*`M(:  ɀ*`5: F,Q@  ɀ*`͠:	  ɀ*`MIH@
  F,Q}MIH   ɀ*`MIH@  ɀ ` (: ԉ ɀ `#L< ɀ ` ' Ƀ` ( H  ɂ_M  Ɂ_ͬ  Ɂ_̙_Ə  .`   Ɂ_̹?Ǝ  .` ?   ɂ_HÎ!  Ɂ_c|`"  Ɂ_XƎ#  .` q$  Ɂ_xoƏ%  .` L'@         ! " # $ % ?     +   6  }I beamLength  ɀ `     &  gRR0  &  UI  @ 	 
      ?     ɀn_͔: ɀn_͔:  ɀ>`M(: k׌.Pu   ɀ ` (: ̩ ɀ `#L9k ɀ `  Ƀ` ( H  ɂ_M  Ɂ_ͬ  Ɂ_̙_Ə  .`   Ɂ_̹?Ǝ  .` ?   ɂ_HÎ!  Ɂ_c|`"  Ɂ_XƎ#  .` q$  Ɂ_xoƏ%  .` L'@      6 55x#beam  a   m}d  L( 33-$5N ,** Gm B*	@
zzEa:` yA -Q;k3   g"(} 	   0jbz BsjfrXrB~| ?   e;L1 ̙    5a} nS`.b*s      %EfFcG-鸋KYЫ\t/      %wwxJ-.eyg
]	ㅈ    P           P   	       	*   	g٦/
P1             text 3,300 mm 	   
     	q;x@      Pm       P        
  6    5Jax̿6\f6vT6)P 5fu59ޯΗ/=2ܪO_0c.yrR%8W-moMy7US
YLS2JLoRS &J=yc2,kb&W՘TPaHeKp 5j'.͇")Pj'<]}DS 5jZ]r\owHוՔn    Tahoma 46=   P. 	   L   `)H 	  ^  12Zd          	'   Yy_` 1          inertia 18 	   ?'  a  yTopScaled yTopFactor scale Math round yBotScaled yBotFactor yTop text formatDecimals  mm yBot  LabelYdistances  scale          R<       R<                	R 
GO               	R 
GO > ?   Z  yTopFactor yBotFactor in 1_tee_section Calling from Frame 1 _parent ConstructTheProblem   UU?Q UU?vW &          N R     ?   R e  Q} 2ƿ   &	 
\yTop    & 
eLyBot  ?0l@  @8Mb@  @8Mb@ @ a WĀ@ ?l   E   in 1_tee_section Calling from Frame 2 _parent ConstructTheProblem   &          N R @   ?S   dq%D` ̙    5=9j(P+4@     %V%+ lo	X  7   h4bf      %W:Fcnǥw'ҷd 	'   Yy_` 1          inertia 18 	   ?'  a  yTopScaled yTopFactor scale Math round yBotScaled yBotFactor yTop text formatDecimals  mm yBot  LabelYdistances  scale          R<       R<                	R 
GO               	R 
GO > ?   V  yTopFactor yBotFactor in 2_section Calling from Frame 1 _parent ConstructTheProblem     ?       ?     &          N R     ?   R b` P 5Ć     &	 
Ο yTop    & 
[yBot  ?"  @8Lَ  @8Laَ @ 
 c#@ ?h   A   in 2_section Calling from Frame 2 _parent ConstructTheProblem   &          N R @   ?   e7D.( ̙    5?۱.G=N룢Q\C[ %z0w      %fq6,:Z#q
V`@,m5W      %wwxJ-.eyg
]	ㅈ 	'   Yy_` 1          inertia 18 	   ?'  a  yTopScaled yTopFactor scale Math round yBotScaled yBotFactor yTop text formatDecimals  mm yBot  LabelYdistances  scale          R<       R<                	R 
GO               	R 
GO > ?   V  yTopFactor yBotFactor in 3_section Calling from Frame 1 _parent ConstructTheProblem     ?       ?     &          N R     ?   R e  Q} 2ƿ   &	 
`yTop    & 
dyBot  ?0l@  @8Mb@  @8Mb@ @ a WĀ@ ?h   A   in 3_section Calling from Frame 2 _parent ConstructTheProblem   &          N R @   ?\   d#E	 ̙    5-q%A?Bl:g<ZN     %V%+ lo	X  7   h4B      %MCކ6EurҎXEہKi[]2 	'   Yy_` 1          inertia 18 	   ?'  a  yTopScaled yTopFactor scale Math round yBotScaled yBotFactor yTop text formatDecimals  mm yBot  LabelYdistances  scale          R<       R<                	R 
GO               	R 
GO > ?   V  yTopFactor yBotFactor in 4_section Calling from Frame 1 _parent ConstructTheProblem   33?3333 ? &          N R     ?   R b` P ކ     &	 
γ yTop    & 
syBot  ?[  @8MQ  @8MwQ @ F S@ ?h   A   in 4_section Calling from Frame 2 _parent ConstructTheProblem   &          N R @   ?   m)B  ̙    5hA{nE{n6m9pi     %lD[fע	cg,Z]@     %ў~|      %Iў`	p1 Gn[P
Nb8X 	'   Yy_` 1          inertia 18 	   ?'  a  yTopScaled yTopFactor scale Math round yBotScaled yBotFactor yTop text formatDecimals  mm yBot  LabelYdistances  scale          R<       R<                	R 
GO               	R 
GO > ?   V  yTopFactor yBotFactor in 5_section Calling from Frame 1 _parent ConstructTheProblem   ?Q p?q=
 &          N R     ?   R р &։	 f   &
 
N| yTop    & 
yBot  ?  @8L	͎  @8L͎ @ *̉ @ ?h   A   in 5_section Calling from Frame 2 _parent ConstructTheProblem   &          N R @   ?\    eYB ̙    5xŅqP8\˩p܍b     %1I\*8o	y,G  <   !`E;@&     %)Q^7EX˟+|Fa&"*2f 	'   "Yy_` 1          inertia 18 	  # ?'  a  yTopScaled yTopFactor scale Math round yBotScaled yBotFactor yTop text formatDecimals  mm yBot  LabelYdistances  scale          R<       R<                	R 
GO               	R 
GO > ?   V  yTopFactor yBotFactor in 6_section Calling from Frame 1 _parent ConstructTheProblem   ?Q ?(\ &          N R     ?    R  .Š 2 !    &	 
 @ lyTop    & 
 @ lyBot  ?[  @8MQ  @8MwQ @ F "S@ ?h   A   in 6_section Calling from Frame 2 _parent ConstructTheProblem   &          N R @   ?l   $mL	qր ̙    =sP7INuȳzm>:ߥ(9nΊ8|      %s$m@+ǟx\,G'Lp  G   %ob      %WE:n"jMu,-BZ?9Ajk 	'   &Yy_` 1          inertia 18 	  ' ?'  a  yTopScaled yTopFactor scale Math round yBotScaled yBotFactor yTop text formatDecimals  mm yBot  LabelYdistances  scale          R<       R<                	R 
GO               	R 
GO > ?   V  yTopFactor yBotFactor in 5_section Calling from Frame 1 _parent ConstructTheProblem   ?Q p?q=
 &          N R     ? $  R ?  | W %    &	 
yTop    & 
q yBot  ?  @8L	͎  @8L͎ @ *̉ &@ ?h   A   in 5_section Calling from Frame 2 _parent ConstructTheProblem   &          N R @   ?^   (m< ̙    5i:}77mx%Kvo׸Z	i     %u2X |O ]~Yp  =   )hu-">      %QEϥ `XSˡ+@	'   *Yy_` 1          inertia 18 	  + ?'  a  yTopScaled yTopFactor scale Math round yBotScaled yBotFactor yTop text formatDecimals  mm yBot  LabelYdistances  scale          R<       R<                	R 
GO               	R 
GO > ?   V  yTopFactor yBotFactor in 8_section Calling from Frame 1 _parent ConstructTheProblem   ? ? &          N R     ? (  R Ph \ TH )    &	 
 @ w>yTop    & 
 @ w1yBot  ?  @8L  @8L
 @ . *)@ ?h   A   in 8_section Calling from Frame 2 _parent ConstructTheProblem   &          N R @   ?\   ,mB ̙    -nL\ m'EڛD"@     %u7xJ-.m~YЯ`,8X  7   -h8      %-jEKfϥw,uXPPvPJ 	'   .Yy_` 1          inertia 18 	  / ?'  a  yTopScaled yTopFactor scale Math round yBotScaled yBotFactor yTop text formatDecimals  mm yBot  LabelYdistances  scale          R<       R<                	R 
GO               	R 
GO > ?   V  yTopFactor yBotFactor in 9_section Calling from Frame 1 _parent ConstructTheProblem   ? 33?3333 &          N R     ? ,  R j倊 eE 2Ɔ -    &	 
 yTop    & 
yBot  ?  @8La  @8L1 @ 
؀ .d@ ?h   A   in 9_section Calling from Frame 2 _parent ConstructTheProblem   &          N R @   	  0	 ?+           section   gotoAndPlay R    &   ?@section @  ?+           section   gotoAndPlay R    6   ?@ section @  ?+           section   gotoAndPlay R    6   ?@ section @  ?+           section   gotoAndPlay R    6   ?@ section @  ?+           section   gotoAndPlay R    6   ?@ section @  ?+           section   gotoAndPlay R    6 #  ?@ section @  ?+           section   gotoAndPlay R    6 '  ?@ section @  ?+           section   gotoAndPlay R    6 +  ?@ section @  ?+           section   gotoAndPlay R    6 /  ?@ section @      63 0`ŀ#cross 	/  1o| 1 f         question For the beam and cross section shown, compute the maximum tension and compression bending stresses (in MPa) produced at any location along the beam span.  For the beam and cross section shown, compute the maximum tension and compression bending stresses (in MPa)  5 1ڠ"   2X{!!M 	* fnnnw "   3X{!   	*  33nnnw "   4X{!   	* nnnw    5  ;    @)02  @'
f+ ;    @)034  
B 3  @'
fd    @-a;    @)034 z(0 4  @'
f|       %  Set1_CorrectCounter EvaluateAnswer        = 6 5@ Edi4#@ 6 ?:   4  txtInstructions  Click <B>continue</B> to proceed.   A   6\`|<x f3 hqIHxG@
,gn惋O
 (   7`2H" 	 333f~|ǈr`|Ǌj (   8`2H" 	 ff~|ǈr`|Ǌj (   9`2H" 	 3f~|ǈr`|Ǌj    : x 6 33@ a    &C0 7  `@'_-6 33@ a    0 8  `@'`/6 32@ a      ` 9  `@'`/      QuestionThisSet   TotalQuestions_Set1 H 
  #   % 6 :$@    	 
   3 5 6 ?   O  txtInstructions  Click <B>continue</B> to go to the printout page and finish. C  runningScore  You have correctly calculated   Set1_CorrectCounter G
   of the  G  TotalQuestions_Set1 G'   loadings that were to be determined. G 
   after_set1    ; x 6 33@ a    &C0 7  `@'_-6 33@ a    0 8  `@'`/6 32@ a      ` 9  `@'`/     &  ;%	   <x. 3*           ( txtInstructions <P ALIGN="LEFT"><FONT FACE="Verdana" SIZE="14" COLOR="#000000">Click on the button to the left of an answer to select it. continue</FONT></P> 	 <[ 
 C $I&N1      0 i   =qΥ     	*  B@6|XvXjz q @fpjfv׀~rm|䈒* @ q~ q~ qfrfvXt  =J      0    >         3`      u             @'O       &I        `      u      ?O      QuestionThisSet           Set1_CorrectCounter          #  >  @ V͞ %	]   ?w
21 @  3        runningScore You have correctly answered 0 out of 10 problems.  ?@ V4@@   	 
    ?    
	   printout ?   ?  myDate Date txtDate toString txtIdentifier Math random round           @           R          R       R 
   #P  0G*U     ?  ͟Lӕ~y    3`  - ͠ US~
    fc2d     @u L    30    @m    3`  ? @  '   @a6 $
  	* 333wnwn  @  @'U  &   A]_]([   f f%t#=´tP0 "   BX` 	*      fvB_  *   C]_]([  33 f f5t#^Z:(@ "   DX` 	*  33  fvB_  $   E\`]_  33    5k|+GEp ~   F V A  B  e@ 
5`C  D  e@ 
5`E  B  e@ 
5`d   ;  =8      printasbitmap:  _level0    	 F&	4   GxĘ  1*  333         txtDate 12 pt Verdana  G@ A f   HpK 
 
   3$LfLKe3R Ժ|c PǄEKCR v~`B"HD[~`E1  H &@ `	%   Iw
!)   3         txtName  I %@LN	1   Jg+/
P1    3        txtIdentifier 999999  J  C $I&N1      0 	]   Kw
21 @  3        runningScore You have correctly answered 0 out of 10 problems.  K@ V4@@   
