) - geoazur.fr · PDF filee e=’1()1 0 g-7’;1/ ’ 0/9
Post on 24-Feb-2018
212 Views
Preview:
Transcript
! "#!$%&&%'(!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!)''*+!,--./,--0!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!"#$%#$&'()&*&'+&
!
!
&&&&&&&&&&
,-./0123)&43&,1!1)3&&
4-567,/8!)&&&&
(7/9/3:&4171;-'&!
<&!
(7/9/3:&=7/(123)'&!
!
!
!
! ""
!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
#$%&'()*+!,*!#(-(+*!,$./0#&1-+!!!
2345467!,"3"89:!!!"#$%&'()*! %";9<4=">6?!@6!<"A"?6!@9BC3<4DA?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! E!) ! !!"#$%&'()+!) $>6"A"D3?!@6!<"A"?6!FC;=";6!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! G!) ! !!"#$%&'(),) -?!FC<HC3=?<?;=!9A4:=">6?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I!) ! !!"#$%&'()-) %3"=J3?:!@?!HA4:="F"=9!?=!@?!36H=63?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! EK!
!
2345467!L34=">6?:!!./#01()*! -?!B3C==?<?;=!5":>6?67!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! EM!) ! !./#01()+!) -?!B3C==?<?;=!:?F!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! NN!) ! !./#01(),) #?:63?!@?!A4!@9BC3<4="C;!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! NO!!
!"#$%"&' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''''''''''''' '''89+:-7;0'<'='8-,)3+7-./0'1/'3-4-0/'1)>6;3+?40
<
!"#$%"&'(&)*$+#&,&)-."%/0-1$(&'$&%-2-($&'"3*+%/42(
!! 5+/.#3*+%/0-*.&'$&%-2-($
!
!@
"
6
7
#6#7&8&9
"t
$
"6-7'/,0':+;7-*/40'3+7);-0440'16,7'402'*66;16,,)02'26,7' ABBC &D< %%%% #!
'E'/,'-,27+,7
"@':;-2'*6330'-,27+,7'10';)>);0,*0F"02'*66;16,,)02' ABBC &D< &&&& #
!
'E'/,'-,27+,7'"'/47);-0/;'26,7'16,,)02'+/'36G0,'1H/,0
>6,*7-6,'I0*76;-0440' "" B'+::04)0'"'()*+,'-(".,)/#$/-.0.1$'2/03.)*"()"/"'=
AC%& "
!
!
"#
!! :()0($+&'";2/)(%(.0
!+'1->>);0,*0'102'*66;16,,)02'C;+::6;7)02'E'/,'3J30';0:K;0A'=
%%%&%$ "
!!!
"!
$#$# ACAC "
1)>-,-7'40'1):4+*030,7'10'4+':+;7-*/40'./-'20'7;6/I+-7'0,' %!
'+/'703:2'10';)>);0,*0F
!! <+/'-(.0&'(&2/&0+/.#3*+%/0-*.
!0' 70,20/;' 1H6;1;0' DB' ACAC %%4 "
!!
"%# B' 1);-I)0' 10' 4+' >6,*7-6,' "" ' +/' :6-,7' %!
B' 027
+::04)'5'(#.1)"'#1/0(/"'()*+,'-(".,)/1)/61/7,.)"8/!02'*60>>-*-0,72'10'2+'3+7;-*0'1+,2/,0'?+20'*+;7)2-0,,0'6;796,6;3)0'26,7'=
9
..9
%
&%4
&
&#AC
!
' ''''''.:9'L'<BDB&
!! 5+/.#;*+0&'=$.&>()0($+
"6-7' /,0' 1-;0*7-6,' 3+7);-0440' ;0:;)20,7)0' E' 4H-,27+,7' 10' ;)>);0,*0' :+;' 40' I0*70/;
%#!
/L'C#%<:/#%D:/#%&A' -22/'1/':6-,7' %!
F'M' 4H-,27+,7' "' 4/-' *6;;02:6,1'/,'I0*70/;' xd!
-22/'1/':6-,7' AC%& "
!
!
"# '16,,)':+;
%#%4&#!!
!
'# AC
C (#
#&
<99.9. #%4#& A
!! 5+/.#;*+0&'=$.&>*2$%(
"6-7' #;' 4+' 302/;0' 1H/,' )4)30,7' 10' I64/30' E' 4H-,27+,7' 10' ;)>);0,*0F' "+' 302/;0' E4H-,27+,7'"'027'16,,)0':+;
#<'L'1074/#;
!! 5+/.#;*+0&'=$.(&#$+3/)(&*+-(.0"(
"6-7' =#>!
F /,')4)30,7'10'2/;>+*0'E'4H-,27+,7'10';)>);0,*0'C#>'027'4+'302/;0'10'2/;>+*0B
=!
027' /,' I0*70/;' /,-7+-;0' ,6;3+4' E' *0770' 2/;>+*0AF' M' 4H-,27+,7' "' 4/-' *6;;02:6,14H)4)30,7'10'2/;>+*0' )#*
!
F 16,,)':+;
=44#>)#* ?!
!
FAC107 <$#
!"#$%"&' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''''''''''''' '''89+:-7;0'<'='8-,)3+7-./0'1/'3-4-0/'1)>6;3+?40
D
!! 5(.#($+&'(#&'-2/0/0-*.#
"6-0,7' %#!
'07' @#!
10/5'1-;0*7-6,2'3+7);-04402'-22/02'1H/,'3J30':6-,7' %!
B' &#!
'07' A#!
40/;' *6;;02:6,1+,72' E' 4H-,27+,7' "F'!0':;61/-7' 2*+4+-;0'10'*02'10/5'I0*70/;2' 027' 16,,):+;
@#%!%#A#&#!!!
!!
AC'#'
6N' 44! ?# '027'40'"1)*1$'/#1*/#.0("(".,)*'C:0;307'16,*'10'*+4*/40;'402'I+;-+7-6,2'1046,O/0/;'07'1H+,O40AF'"-'!/L/BB'4+'7;+,2>6;3+7-6,'027'/,0'-263)7;-0F
!! 5(.#($+&'(#&'"3*+%/0-*.#&'(&!"##$%&'("'$(#
P4' 05-270':4/2-0/;2' >+Q6,2'10'302/;0;' 4+'1)>6;3+7-6,'1/'3-4-0/F'"-' 6,' 4+'302/;0':+;;+::6;7'E'4+'*6,>-O/;+7-6,'10';)>);0,*0B'6,':0/7'/7-4-20;'40'70,20/;'10'C'11)DE(5'()5116,,)':+;
) *B%!%F $# ACD
<AC
!!
ADRACC .9.9.9 !F +$#
!! ?"3*+%/0-*.#&-.3-.-0"#-%/2(#
$,'1->>);0,*-+,7'4H05:;022-6,' %&$"!
!!
$# 07'26/2'4H9G:679K20' <,,%$ '6,'+
) *?$$%%F %-%#.D
<ACAC!!
/
26-7'0,'1)7+-44+,7
00
1
2
33
4
5
&
&-
&
&#
.
9
9
..9
%
$
%
$
D
</
/B':+;7-0'2G3)7;-./0'1/'O;+1-0,7'1/'1):4+*030,7'C $% AB/027'40'"1)*1$'/#1*/#G+,'-(".,)*.)+.)."G*.-(01*F' !+' :+;7-0' +,7-2G3)7;-./0' 10' $% ' 16,,0' 40' "1)*1$'/ #1*/ ',"(".,)*.)+.)."G*.-(01*8
!! @22*.A(%(.0&'/.#&$.(&'-+()0-*.
"6-7' +/' :6-,7' %!
' /,' 20O30,7' 3+7);-04' 10' 46,O/0/;' #E/ 07' 10' 1-;0*7-6,' /,-7+-;0' =!
C =#E%#!!
F# A' 07' 26-7'#0' 2+' 46,O/0/;' +:;K2' 1)>6;3+7-6,F'E1*/(00,)51-1)"*/ $)."(.'1'1"H$(#'(".H$1'0,'*0':6-,7'07'1+,2'4+'1-;0*7-6,'10'*0'20O30,7'20'*+4*/40,7':+;
))#E
#E#0)
!!
FF// #$
# ''''''''' )F)#E
#E#0F)
!!
FFD
<D
DD
#$
#
SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
B7(+)-)(#
B7(+)-)(&C&,&@22*.A(%(.0&'=$.(&0-A(
"6-7'/,0'7-O0'1)>6;3+?40'IJ'10'46,O/0/;'-,-7-+40'E/K/D3F'T,';0:K;0'4H0,203?40'10'202:6-,72'3+7);-042'L/:+;'40/;':62-7-6,2'%'E':+;7-;'10'4H057;)3-7)'I/10'4+'7-O0F'80770'7-O02/?-7'/,0'1)>6;3+7-6,'1)>-,-0':+;'4+'7;+,2>6;3+7-6,'
AC%& "#
&'1)2-O,+,7'4+':62-7-6,'1/':6-,7'L'16,7'4+':62-7-6,')7+-7'%'+I+,7'1)>6;3+7-6,F'8+4*/40;':6/;'*9+*/,'102'*+2'2/-I+,72'=
<A'<@@
AC%
%% $#" ''''''''DA''<D@@
AC&%
%% -#" ''''''&A' AD2-,C<@@
DAC %%% 6
6" -#
$! 40'1):4+*030,7'$M%N'10'*9+*/,'10'202':6-,72'0,7;0'4H)7+7'-,-7-+4'07'4H)7+7'>-,+4B$! 4+'1)>6;3+7-6,'/M%N'0,'*9+*/,'10'202':6-,72F$! 40' >+*70/;/10' 1-4+7+7-6,'7M%N' 0,' *9+./0' :6-,7' 07' 4+' 46,O/0/;'#&' 10' 76/7' 20O30,73+7);-04'10'46,O/0/;'-,-7-+4'#%:
$! 4+'46,O/0/;'>-,+40B'0B'10'4+'7-O0F
!"#$%"&' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''''''''''''' '''89+:-7;0'<'='8-,)3+7-./0'1/'3-4-0/'1)>6;3+?40
&
B7(+)-)(&D&,&)*+#$,-.$/,-012#
"6-7' 1+,2' /,' ;0:K;0' *+;7)2-0,' 6;796,6;3)' 4+' 7;+,2>6;3+7-6,' 9636OK,0' 1)>-,-0B' E4H-,27+,7'"':+;
89
8:
;
#
#
-#
&&
DD
<<<
%&
%&
"%%& <
U)70;3-,0;' 40' 70,20/;' O;+1-0,7' 4' 10' 4+' 7;+,2>6;3+7-6,F' V7/1-0;' 40' 7;+,2:6;7' 1H/,I0*70/;B' 1H/,' I64/30' 07' 1H/,' I0*70/;' +-;0F' 8+4*/40;' 40' 70,20/;' 102' 1-4+7+7-6,2' 07' 4070,20/;'10'C'11)DE(5'()51F'W;)*-20;' 4H9G:679K20'10' 4+' 7;+,2>6;3+7-6,' -,>-,-7)2-3+4007'16,,0;'+46;2'4H05:;022-6,'1/'70,20/;'102'1)>6;3+7-6,2'4-,)+;-2)02'/F
B7(+)-)(&E&,&3.452#/(2-,,#0#$+
"6-7'1+,2'/,';0:K;0' N111O &D< BBBC!!!
'4+'7;+,2>6;3+7-6,'16,,)0':+;
89
8:
;
-#
-#
#
D&&
&DD
<<
(%%&
(%%&
%&
6N'(/='X@B<Y027'/,0'*6,27+,70F'8+4*/40;'1+,2'*0';0:K;0'402'*63:62+,702'1/'70,20/;'1021-4+7+7-6,2'!'07'*04402'1/'70,20/;'102'1)>6;3+7-6,2'10'C'11)DE(5'()51'FF
U)70;3-,0;'402'+446,O030,72'2/-I+,7'402'7;6-2'I0*70/;2'10'?+20'07'402'1-;0*7-6,2':;6:;0210'FF
B7(+)-)(&F&,&)22-1,.67#/7#,/7-2'+'+-.$,
T,'*6,2-1K;0B'E'4H-,27+,7'"B'4+'7;+,2>6;3+7-6,'9636OK,0'./-'4+-220'-,I+;-+,70'4H6;-O-,0O'07'./-'027'*+;+*7);-2)0':+;'40'70,20/;'O;+1-0,7'48U)70;3-,0;'40'163+-,0'>P/16,7'40'7;+,2:6;7)':+;'40'36/I030,7'027B'E'4H-,27+,7'"B'/,02:9K;0'10'*0,7;0'O'07'10';+G6,'QF
B7(+)-)(&G'=&8#$,#4"/7#,/1#+-+#,/79:."0'+-.$,
Z,'264-10'1)>6;3+?40'027'26/3-2'E'102')7+72'10'1)>6;3+7-6,'10'70440'3+,-K;0'./0
889
88:
;
-#
-#
-#
DD&&&
D<DDD
D&<<<
%%%&
%%%&
%%%&
ABBC &D< %%% '07' ABBC' &D< &&& ;0:;)20,7+,7'402'*63:62+,702'1/'I0*70/;':62-7-6,'+I+,7
07' +:;K2' 1)>6;3+7-6,' 1+,2' /,' ;0:K;0' 6;796,6;3)F' $,' >+-2+,7' 4H9G:679K20' 102' :07-7021)>6;3+7-6,2'=
$! 1)70;3-,0;'40'I0*70/;'1):4+*030,7'$&[$! 1)70;3-,0;'402'70,20/;2'/'07'?&10'1)>6;3+7-6,'07'10';67+7-6,F
B7(+)-)(&H'='!2-,,#0#$+/,-012#
T,'+';0:;)20,7)'*-%10226/2'07'10'3+,-K;0' 7;K2'05+O);)0B' 4+' 7;+,2>6;3+7-6,'9636OK,01H/,'?46*'-,-7-+4030,7';0*7+,O/4+-;0F
<A'!!+' 1)>6;3+7-6,' 20' >+-2+,7' /,-./030,7' 1+,2' 40:4+,' &OAB' 1)70;3-,0;B' E' :+;7-;' 102' 16,,)02-,1-./)02' 2/;' 4+' >-O/;0B' 40' *9+3:' 1021):4+*030,72F
DA'!$,' >+-2+,7' 4H9G:679K20' ./0' 4H+,O40' 10' O4-%22030,7'<' 027' 7;K2' >+-?40' 0,' 1)1/-;0' 40' *9+3:102'1)>6;3+7-6,2'-,>-,-7)2-3+402&/F
'
\ <<
&
A
&A'!8+4*/40;' 4H+446,O030,7' /,-7+-;0' 1H/,' 20O30,7' 3+7);-04' 10' 1-;0*7-6,' ./04*6,./0A2-,BC*62 @@#)
!
F'"-'#0'027'2+'46,O/0/;'-,-7-+40B'16,,0;'4H05:;022-6,'10'2+'46,O/0/;
>-,+40'#03F']/04402'26,7'402'1-;0*7-6,2'102'>-?;02'3+7);-04402'./-',0'2/?-220,7'+/*/,+446,O030,7'^'./-'2/?-220,7'4H+446,O030,7'3+5-3/3'^
_A'!U)1/-;0'10'&A' 4H05:;022-6,'1/'O4-22030,7'5/:6/;' 76/70'1-;0*7-6,' n!
F']/04402'26,7402'1-;0*7-6,2':6/;'402./04402'5'027'3+5-3/3'^'3-,-3/3'^'`07;6/I0;'*02';)2/47+720,'*+4*/4+,7'402'I+40/;2':;-,*-:+402'07'402'1-;0*7-6,2':;-,*-:+402'10'4+'1)>6;3+7-6,F
aA'!]/0440'027'4+'I+;-+7-6,'10'I64/30'^
!"#$%"&' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''''''''''''' '''89+:-7;0'<'='8-,)3+7-./0'1/'3-4-0/'1)>6;3+?40
_
B7(+)-)(&I'='39:."0'+-.$/5-%'*-'2#/%/!2-,,#0#$+/14"
(J302' ./027-6,2'3+-2' 1+,2' 40' *+2' 10' 4+' 1)>6;3+7-6,' ?-%+5-+40' ;0%' :;)20,7)0' 2/;' 4+>-O/;0'*-%*6,7;0'C6,'2/::620'?-0,'0,70,1/'./0'('07'R'26,7'7;K2'>+-?402':+;';+::6;7'+/51-30,2-6,2'10'4H)*9+,7-446,B'4+'7;+,2>6;3+7-6,')7+,7'7;K2'05+O);)0'2/;'4+'>-O/;0AF
(
R
&
A
EKS-
TKS-
M'./04' 7G:0'10'1)>6;3+7-6,'*6;;02:6,1' 40'*+2'(/K/R'^'b+-;0'/,'1022-,F']/0440' 027' 4+I+;-+7-6,'10'I64/30'^'804+'027%-4')I-10,7'2/;'40'1022-,'^
B7(+)-)(&J&,&!9.79,-#
!02'*66;16,,)02'10'7;6-2':6-,72'10'4+';)O-6,'O;0,6?46-20'6,7')7)'302/;)02'0,'<caD':+;7;-+,O/4+7-6,B' :/-2' 0,' <cc_' :+;' O)61)2-0' *("100."(.'1' CdW"AF' 802' 302/;02' 26,7;0:6;7)02'1+,2'40'7+?40+/'*-%10226/2F
(02/;02'<caD (02/;02'<cc_C$%eA'3 Cf%"A'3 C$%eA'3 'Cf%"A'3
f);6,'C(>F''89+;7;0/20A gh_'ghgB@@ &&<'a<&B@@ gh_'ghgB@@ &&<'a<&B@@(6/*90;6770'C(>F''i0;*6;2A gac'hcgB_c &D<'h@cB__ gac'hcgBa_ &D<'h@cB_h
`0I04'C(>F''j044016,,0A gkk'kccBc_ &Dg'@D@Bh@ gkk'kccBgc &Dg'@D@B_k
$,'2/::62+,7'./0'4+'1)>6;3+7-6,';)O-6,+40'027'9636OK,0B'1)70;3-,0;'402'1)>6;3+7-6,207' 1-;0*7-6,2' :;-,*-:+402' 1/' 70,20/;' 102' 1)>6;3+7-6,2' +*7/04402' :6/;' d;0,6?40' +-,2-./0'4+';67+7-6,';-O-10F
B7(+)-)(&K&=&)*+#$,.09+"-#
$,' I/0' 10' 1)70;3-,0;' 05:);-30,7+4030,7' 4070,20/;'102'1)>6;3+7-6,2'+/':6-,7'('1H/,'3+22->B6,' :4+*0' +/76/;' 10' *0' :6-,7' /,' 1-2:62-7->05:);-30,7+4'Ch'l+/O02'1&"1)*,-G"'.H$1*A':0;307%7+,7' 4+'302/;0' 1-;0*70' 102' +446,O030,72' /,-7+-;022/-I+,7' 402' h' 1-;0*7-6,2' *6,2-1);)02' CI6-;' >-O/;0*-%*6,7;0AF$,' +::04+,7'
4FU!JI////// BBBBB B' 402' h' 302/;02
0>>0*7/)02B'1)>-,-;' 40' 70,20/;'102'1)>6;3+7-6,2'+/:6-,7'(F
"
#
$
%
&
'
(
)*+
I8=8'=' m<aF@'mB@'mB<aF@'mB&F@'mB_F@'mB&F@ ##$#$###4FU!JI//////
U)70;3-,0;'402'+446,O030,72':;-,*-:+/5'07'402'1-;0*7-6,2':;-,*-:+402F
$,'1)1/-;0'4+'1-;0*7-6,'1/'O4-22030,7'3+5-3/3F
45°
45°
45°
!"#$%"& '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 '''''''''''''''89+:-7;0'<'='>./-4-?;0'1/'3-4-0/'*6,7-,/
@
!"#$%"&'(&)*$+#&,&-.$/0/1+(&'$&%/0/($&)*23/2$
!! 4()3($+&)*23+5/23(
A02'B6;*02'-,7);-0/;02'C10'*69)2-6,'07'10'B;677030,7D':;0,,0,7',+-22+,*0'0,'76/7':6-,71E/,' *6;:2' 26/3-2' F' 4E+*7-6,' 10' B6;*02' 0570;,02G' 80' 26,7' 102' B6;*02' 2/;B+*-./02:0;3077+,7'+/5'1-BB);0,702':+;7-02'1/'*6;:2'10';0270;'264-1+-;02G
H,'1)B-,-7'0,'*9+./0':6-,7'!'1E/,':4+,'10',6;3+40'/,-7+-;0' "!
' 40'#$%&$'()%*"&(+,"&$:+;
-
./&
- "
"#
$"
-,7
I4-3DC
!!
''''''C/,-7)2'='JG3%<'%'K+D
6L' !0/!
!
# 07' -,7." '027' 4+';)2/47+,70'102'B6;*02'-,7);-0/;02'2E050;M+,7'2/;' 4+'2/;B+*0"-G
''''''''
t(x)
n(x)
x
n'(x)=- n(x)
t'(x)=- t(x)
x&&
surface de coupe imaginaire de normale externe n (x) au point x
force (par unité de surface)agissant sur la surface au point x
!! 6*23+5/23(&2*+%50(&7&)*23+5/23(&3528(23/(00(
n
t
tt
n
T
N0*70/;'%*"&(+,"&$)"*(1+2$'='*E027'40'O0*70/;' "&!
):;6P07)
10' &!
'2/;' "!
N0*70/;' %*"&(+,"&$) &+"3$"&,$22$)=' *E027' 40' O0*70/;
4&!
:;6P07)'10' &!
'2/;'40':4+,G
!0'O0*70/;'*6,7;+-,70'027'16,*'4+'26330'10'*02'10/5'O0*70/;2'6;796Q6,+/5
4" &&&!!!
'#
!+'46,Q/0/;'+4Q)?;-./0'1/'O0*70/;' "&!
'027'+::04)0'*6,7;+-,70',6;3+40'07'027',67)0'("
"&"
!!
G#(
!E-,70,2-7)'10'4+'%*"&(+,"&$)&+"3$"&,$22$5),67)0'(4R)'027'16,,)0':+;
<<"44 && (( )##
"!
86,O0,7-6,' 10' 2-Q,0'=' 2-' "!
' 027' 26;7+,70' C;02:G' ;0,7;+,70D' F' 4+' :+;7-0' *6,2-1);)0' 1/3-4-0/R'/,0'O+40/;':62-7-O0'C;02:G',)Q+7-O0D'10'("'-,1-./0'/,0'7;+*7-6,G
!! 9(2#($+&'(#&)*23+5/23(#
!0' O0*70/;' *6,7;+-,70' C0,*6;0' +::04)' &$"6,*"D' 027' /,0' +::4-*+7-6,' 4-,)+-;0' 10' 4+,6;3+40'/,-7+-;0' "
!
'C79)6;S30'10'7+'%89D'=
DCDGCDC /"//&!!!!
!
(#
6L'()027'40'&$"6$'():$6)%*"&(+,"&$6G'H,'36,7;0'C)./-4-?;0'102'3630,72D'./0'*0'70,20/;027'2T3)7;-./0G'A+,2'4+'?+20' DRRC ;9/ $$$
!!!
6;796,6;3)0'07'0,' 76/7':6-,7'!'10':62-7-6,
/!
R'4+'3+7;-*0'1/'70,20/;' DC/!
( )027'16,*'10'4+'B6;30
***
+
,
---
.
/
#
;;9;/;
9;99/9
/;/9//
/
(((
(((
(((
( DC!
H,' ;03+;./0;+' ./0' 402' *646,,02' 10' *0770' 3+7;-*0' 26,7' 402' O0*70/;2' *6,7;+-,702' ./-+Q-220,7'0,'!)2/;'402':4+,2'10',6;3+402' xe
!
R' ye!
'07' ze!
U-,2-R' :+;' 0503:40R' 0(//' 027' 4+' *6,7;+-,70',6;3+40' +Q-22+,7' 2/;'/,':4+,'6;796Q6,+4' F4E+50'0/' C("'V'(//DR' 0(/9' 07' 0(/;' 26,7' 402' *63:62+,702' 10' 4+' *6,7;+-,70' 7+,Q0,7-0440
C <</;/94 ((( '# DG
!"#$%"& '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 '''''''''''''''89+:-7;0'<'='>./-4-?;0'1/'3-4-0/'*6,7-,/
W
!! :052#&;+/2)/;5$<&7&6*23+5/23(#&;+/2)/;50(#
X,':4+,' :+22+,7' :+;'!' 07' 2/;' 40./04' 4+' *6,7;+-,70' 7+,Q0,7-0440' 027' ,/440' 027' 1-7'<2+"<(,"%,<+2' +/' :6-,7'!G' !02' 0BB6;72' 20' ;)1/-20,7' 16,*' F' 4+' 20/40' *6,7;+-,70' ,6;3+40C "& "
!!
(# DG'80770'*6,7;+-,70',6;3+40'027'1-70'%*"&(+,"&$'<(,"%,<+2$G
!+',6;3+40' "!
'F'*0':4+,'027'16,*'/,'O0*70/;':;6:;0'1/'70,20/;'0( '07' "( )027'4+'O+40/;
:;6:;0'+226*-)0'C6,'+'?-0,'0,'0BB07'=' "" "
!!
(( #1 DG
80'70,20/;')7+,7'2T3)7;-./0R'6,'2+-7'./E-4'05-270'7;6-2'10'*02':4+,2'07'./-'10':4/2'26,76;796Q6,+/5'0,7;0'0/5G'!02',6;3+402'/,-7+-;02'+/5'7;6-2':4+,2':;-,*-:+/5'B6;30,7'/,0?+20'6;796,6;3)0R'1-70'=+6$)<(,"%,<+2$R'1+,2'4+./0440'4+'3+7;-*0'102'*6,7;+-,702'027'=
***
+
,
---
.
/
#
&
<
Y
II
II
II
DC
(
(
(
( /!
(YR'(<R'07'(&'1)2-Q,+,7'402'*6,7;+-,702':;-,*-:+402G
!! :+(##/*2&%*=(22(
!0'2*+4+-;0
&&DC
&
Y &<Y (((((((
''#
''##
;;99//
1*9 &(<
027'+::04)'<($66,*")1*9$""$G
"-' 1*9<### &<Y ((( R' 4E)7+7' 10' *6,7;+-,70' 027' ;)1/-7' F' 4E)7+7' 89:(*6&+&,>'$' 10
70,20/;' ?<1*9#( G'#6/7':4+,'027'+46;2':;-,*-:+4G
807')7+7'10'*6,7;+-,70'027R':+;'0503:40R'*04/-'10'76/7'B4/-10'+/';0:62G'8E027'+/22-'*04/-1E/,' B4/-10' 0,' 36/O030,7' 3+-2' F' *6,1-7-6,' ./E-4' 26-7' ,6,' O-2./0/5' C4+' O-2*62-7)16,,+,7',+-22+,*0'F'102'0BB6;72'10'B;677030,7'16,*'F'102'*6,7;+-,702'7+,Q0,7-04402DG
!! >"?/53($+&'(#&)*23+5/23(#
!0'70,20/;?<:$# 1*9)# ((
027'+::04)':@#,+&$'():$6)%*"&(+,"&$6'C4E)7+7'102'*6,7;+-,702'Z'1)O-0'['10'4E)7+7':/;030,79T1;627+7-./0'<1*9)?)D
X,')7+7'10'*6,7;+-,70'9T1;627+7-./0'*6;;02:6,1'16,*'F'/,'1)O-+70/;',/4G
!E-,70,2-7)'1/'1)O-+70/;':0/7'\7;0'302/;)0':+;'40'2*+4+-;0
&Y ((2 )#
+::04)'*6,7;+-,70'1-BB);0,7-0440'6/':+;B6-2' -3:;6:;030,7'Z'1)O-+70/;'[' C26/2' 0,70,1/Z',6;30' 1/' 1)O-+70/;)AD' 6L'(B' 07'(C' 26,7R' ;02:0*7-O030,7R' 4+' :4/2' Q;+,10' 07' 4+' :4/2:07-70'*6,7;+-,70':;-,*-:+40G
!! >/58+5%%(&'(&!"#$
8E027' /,0' ;0:;)20,7+7-6,' Q;+:9-./0' 10' 4+' 1-27;-?/7-6,' 102' *6,7;+-,702' +/76/;' 1E/,:6-,7G'"6-7'!'*0':6-,7'07'26-7' "
!
'4+',6;3+40'F'/,':4+,'./04*6,./0':+22+,7':+;'!G!02'0BB6;72'+Q-22+,7'2/;'*0':4+,'0,'*0':6-,7'26,7';0:;)20,7)2':+;'4+'*6,7;+-,70',6;3+40("'07'40'361/40'10'4+'*6,7;+-,70'7+,Q0,7-0440(4GA+,2'/,'2T27S30'1E+502'*+;7)2-0,2R'2-'4E6,':6;70'("'0,'+?2*-220'07'(4''0,'6;16,,)0'07'2-4E6,' 16,,0' F' "
!
' 76/702' 402' 1-;0*7-6,2' :622-?402R' 40' :6-,7' C("']'(4D' 1)*;-7' 1+,2' *01-+Q;+330'4+'B-Q/;0'9+*9/;)0'*-%10226/2'*63:;-20'0,7;0' 402' 7;6-2'*0;*402':+22+,7':+;402':6-,72'C(Y']'IDR'C(<']'ID'07'C(&']'IDG
( ( (
(
Y<&
"
%
0
(4
C6,' 2/::620;+' 76/P6/;2' ./0' 402' *6,7;+-,702' :;-,*-:+402' 26,7' 6;16,,)022046,'= &<Y ((( 33 D
!"#$%"& '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 '''''''''''''''89+:-7;0'<'='>./-4-?;0'1/'3-4-0/'*6,7-,/
^
J670'='2-' "!
'027'1+,2'/,'102':4+,2':;-,*-:+/5R'+46;2'40':6-,7';0:;)20,7+7-B'C("']'(4D'104E)7+7'10'*6,7;+-,70'2/;'*0':4+,'027'2/;'4E/,'102'&'*0;*402G
K+;'0503:40'=
Y
&
DEF
&GD")5H5)"))FY &
&
%
( ( (
(
Y<&
(Y(&_
<
4&
3
0
(0#
"
(4
07'6,'+'+46;2'C*+2'10'4E0503:40'*-%1022/2D
&((((
( <*62<<
&Y&Y )'
'#" ''''' &
((( <2-,
<&Y )#4
`````````````````````````````````````````````````````````````````````
@<(+)/)(#
@<(+)/)(&A&,''(%)$*+&,%+"&-./0&-%)&1)0$-.)1-2"&%$,+&%)1
86,27;/-;0' 4+' 3+7;-*0' 1/' 70,20/;' 102' *6,7;+-,702' 0,' /,' :6-,7'!R' 1+,2' 40' ;0:S;06;796,6;3)' 0/9;R' 2+*9+,7' ./0' 4E6,' +' B+-7' 05:);-30,7+4030,7' 402' *6,27+7+7-6,22/-O+,702'=
+D'! 40':4+,'!/9'027'7+,Q0,7'0,'!'F'/,0'2/;B+*0'4-?;0'1/'3-4-0/R'*E027'F'1-;0'./E+/*/,070,2-6,',0'2E050;*0'2/;'4+'B+*0770'!/9']
?D'!4+'70,2-6,'./-'2E050;*0'2/;'4+'B+*0770'!/;',E+':+2'10'*63:62+,70',6;3+40'07'20/404+'*63:62+,70'7+,Q0,7-0440'027'1-BB);0,70'10'a);6']
*D'!*6330' 2/;' 4+' B+*0770' !/;R' 4+' 70,2-6,' ./-' 2E050;*0' 2/;' 4+' B+*0770' !9;' 0277+,Q0,7-0440G
@<(+)/)(&B'='3"&%$,+&%)-&"$*,4)-)%-2"&%$,+&%)-%,&5)&%+)44)
"6-7' 4E)7+7' 10' *6,7;+-,70' 9636QS,0;0:;)20,7)' *-%*6,7;0' 07' D.F' /,' :4+,' 10B+-440'1+,2'40'3-4-0/G
8+4*/40;' 40'O0*70/;' *6,7;+-,70' 2E050;M+,72/;'4+'B+-440'D.FIb/0' O+40,7' 4+' *6,7;+-,70' ,6;3+40' 07' 4+*6,7;+-,70'7+,Q0,7-0440'2/;'D.F'c
D.F
( YG)@II
)!E+
BJK( &G)<I
I)!E+
@<(+)/)(&C'='6$)11+"&-*"7)&&)-8-2"&%$,+&%)1-.(9+,%"$+:0)1
"6-7'0,'/,':6-,7'!'1E/,'3-4-0/'*6,7-,/'4E)7+7'10'*6,7;+-,70'C0,'(K+DR'*+;+*7);-2)'1+,240';0:S;0'*+;7)2-0,'0/9;5':+;'4+'3+7;-*0'=
***
+
,
---
.
/
)
)
#
<II
IY@@
I@Y@
(
8+4*/40;'=
)! 4+':;022-6,'36T0,,0R)! 4+'3+7;-*0'1/':@#,+&$'('102'*6,7;+-,702R)! 40' O0*70/;' *6,7;+-,70' ./-' 2E050;*0' 2/;' 40' :4+,' :+22+,7' :+;' !) 07' 10' ,6;3+4
D&YR&YR&YC#"!
R
)! 402'*6,7;+-,702':;-,*-:+402'07'402',6;3+402'+/5':4+,2':;-,*-:+/5G
d0:;)20,70;R'1+,2'40':4+,'/09R'4+'*;6-5'102'*6,7;+-,702'+/':6-,7'!G
@<(+)/)(&D'=';11,+-%$+,<+,4
X,0'):;6/O0770'*T4-,1;-./0'027':4+*)'1+,2'/,0':;0220G'$440'027'26/3-20'F'/,0':;022-6,10' *6,B-,030,7' <' 07' F' /,0' *63:;022-6,' /,-+5-+40' 2/-O+,7' 2+' Q),);+7;-*0G' A6,,0a4E05:;022-6,'1/'70,20/;'102'*6,7;+-,702'1+,2'/,0'?+20'10'O67;0'*96-5G
!"#$%"& '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 '''''''''''''''89+:-7;0'<'='>./-4-?;0'1/'3-4-0/'*6,7-,/
e
@<(+)/)(&E'='="44+2+%,%+"&1-2"*>"1()1
H,'*6,2-1S;0'/,'?46*'10';6*90'10'46,Q/0/;'/,-7)'07'10'?+20;0*7+,Q/4+-;0G"6-7'0/9;' 40' 2T27S30' 1E+502' *+;7)2-0,' 704' ./0' 4+' ?+20' 1/?46*' 26-7' 1+,2' 40' :4+,' 0/9G' H,' ,670' +46;2' <+' 07' +' 4021-30,2-6,2' 10' *0770' ?+20' 2/-O+,7' 402' +502' 0/' 07' 09R;02:0*7-O030,7G /
9
;L+
Y0+
+D'!H,' 26/307' *0' ?46*' F' 102' B6;*02' /,-B6;3)30,7;):+;7-02' 2/;' 402' B+*02' /;' 07' 9;' 07' +Q-22+,7:0;:0,1-*/4+-;030,7' F' *04402%*-G' !02' B+*02' /9' 26,74-?;02' 10' 76/7' 0BB6;7G' H,' +' ;0:;)20,7)' *-%*6,7;0' 402;)2/47+,702':+;'B+*0'10'*9+*/,0'10'*02'B6;*02G
/
9
.GDM.5H5HF
EGDH5ME5HF
ME
M.
!$,' ,67+,7'.' 07'E' 40' 361/40' 102' B6;*02' .!
' 07' E!
R' 16,,0;' 1+,2' 40' ;0:S;0' /9;' 4+
3+7;-*0'1/'70,20/;'102'*6,7;+-,702'+/./04'027'26/3-2'40'?46*G'H,',670;+' ?( '*07703+7;-*0G
NIOI)P'+)G)@'*3R'.'V'@II'fJR'E)V'&II'fJG'$5:;-30;'402'*6,7;+-,702'0,'(K+G
?D! H,' 2/:0;:620' +/5' 2644-*-7+7-6,2' :;)*)10,702R' 0776/P6/;2' 2/;' 402'3\302' B+*02R' 402' 0BB6;72' ;0:;)20,7)2*-%*6,7;0G
$,',67+,7'-' 40'361/40'10'4+'B6;*0' -!
'16,,0;'1+,2'40;0:S;0' /9;' 4+' 3+7;-*0' ;0:;)20,7+7-O0' 10' 4E)7+7' 10
*6,7;+-,702' 2/::4)30,7+-;02G' H,' ,670;+' ??( *07703+7;-*0G
/
9
QGDL-5H5HF
-GDH5-5HF
MQ
M-
!
!NIOI)='-)G)<II'fJG'$5:;-30;'402'*6,7;+-,702'0,'(K+G!
!
*D! 8+4*/40;'+46;2'4+'3+7;-*0'( '102'*6,7;+-,702'767+402G!
!
@<(+)/)(&F'=''+,5$,**)-.)-!"#$-?@A
#;+*0;' 40' 1-+Q;+330' 10' !*8(' :6/;' /,' )7+7' 10' *6,7;+-,70' *+;+*7);-2)' :+;' 102*6,7;+-,702':@#,+&*(,>'$6':;-,*-:+402'10
f?+;'&Y #6 '''' I< #6 ''' f?+;'&& )#6
07':+;'/,0':;022-6,'36T0,,0'10'g'f?+;
@<(+)/)(&G'=''+,5$,**)-.)-!"#$-?@@A
X7-4-20;'/,'1-+Q;+330'10'!*8(':6/;'1)70;3-,0;'402'O+40/;2'10'(B'07'(L'*6,,+-22+,7'4+*6,7;+-,70' ,6;3+40' ("' 07' 4+' *6,7;+-,70' 7+,Q0,7-0440' (4' 2/;' 10/5' :4+,2' DEF' 07' DQF6;796Q6,+/5G
NIOI'=K4+, (" (4
DEF _<G<'f?+; _YGY'f?+;DQF _YG<'f?+; %YGY'f?+;
@<(+)/)(&H&,&4+5&)1-.)-2"&%$,+&%)
H,' *6,2-1S;0' 402' 7;6-2' 05:);-0,*02' -44/27;)02' *-%10226/2G' #;+*0;' 10' B+M6,+::;65-3+7-O0'07'0,'./04./02':6-,72'102':4+,2'10'*6/:0';0:;)20,7)2'2/;'*02'B-Q/;02'*0./0'16-O0,7'\7;0'402'*;6-5'102'*6,7;+-,702G
3
face libre
face libreface
libr
econtact sans frottement
7*(<6)6*'1,6)R)6*")6$'2)<*,:6)$&
<*6@)6+"6)S(*&&$1$"&)6'()'")<2+"
(,3,:$I
))3
face libre
contact sans frottement
con
tact
san
s fr
otte
men
t contact san
s frottemen
t
7*(<6)$"%+6&(@)6+"6)S(*&&$1$"&
:+"6)'"$)=*,&$)(,3,:$)$&))6*'1,6)R
6*")6$'2)<*,:6I
face libreface
libr
e
fac e l i b
re
E2+>'$)&(*'@$)6*'1,6$)R)'"$
%*1<($66,*")'",+/,+2$I
!"#$%"& ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''''''''''''''''''''''''''''''''''''''''89+:-7;0'&'<'!0'*63:6;7030,7')4+27-./0
=
!"#$%"&'(&)*$+#&,&-(&)*%.*+/(%(0/&"-1#/23$(
>,' 3-4-0/' 027' 1-7' )4+27-./0' 2?-4' ,0' 2/@-7' ./0' 102' 1)A6;3+7-6,2' ;)B0;2-@402'<' 0,
2/::;-3+,7' 402' A6;*02' ;02:6,2+@402'10'*02'1)A6;3+7-6,2C' 40'3-4-0/' ;07;6/B0'2+' A6;30
-,-7-+40D
E'102'703:);+7/;02'07'102':;022-6,2';04+7-B030,7'A+-@402C'07'F'*6,1-7-6,'./0'402'A6;*02
+::4-./)02' ,0' 26-0,7' :+2' 7;6:' )40B)02C' 76/702' 402' ;6*902' 20' *63:6;70,7' 10' A+G6,
)4+27-./0D' H6/;' 102' 1)A6;3+7-6,2' 2/AA-2+330,7' A+-@402C' /,0! "#$%&'()! $')*%'"#' 0,7;0
*6,7;+-,702'07'1)A6;3+7-6,2'027'I),);+4030,7'6@20;B)0D
!! 4*2&"-1#/23$(&-20"12+(&(/&5*%*670(
89+*/,0' 102' J' *63:62+,702' '+" ' 102' *6,7;+-,702' 2?)*;-7' 16,*' *6330' *63@-,+-26,
4-,)+-;0'102'J'*63:62+,702'102'1)A6;3+7-6,2'<
&K&K
L&L&
KLKL
&&&&
LLLL
KKKK ######" '+'+'+'+'+'+'+ ,,,,,, $$$$$%
6M'402' -$'+, '26,7'J'*6,27+,702'3+7);-04402D'>,0'$('!./*$%0&'1'&*!$')*%'"#'#&!2(3(45)#!A+-7
16,*'-,70;B0,-;'J&J'*6,27+,702D'"-'4?6,'A+-7'4?9N:679O20'1?'0(&"(6'#'P4+'46-'2?)*;-7'1+,276/7';)A);0,7-04'26/2'4+'3Q30'A6;30R'6,'36,7;0'./0'4+'46-',0'A+-7':4/2'-,70;B0,-;'./0'L
*6,27+,702'1-27-,*702D'80770'46-':6;70'+46;2'40',63'10'$('!.#!7((-#
!! 4*2&'(&!""#$&'*0010/&-(#&)*0/+120/(#
S,'4?)*;-7'26/2'4+'A6;30
'+'+'+ 8 '###(#" RPL &&LLKK $$$%
P6/'0,*6;0' 9&"8 RPL #(#" $% R
!02'*6,27+,702'3+7);-04402'('07'8'26,7'402'*6,27+,702'10':%3*D
!! 4*2&'(&!""#$&'*0010/&-(#&'"8*+%1/2*0#
H6/;'05:;-30;'402'1)A6;3+7-6,2C'4?)*;-7/;0':;)*)10,70':0/7'2?-,B0;20;'26/2'4+'A6;30
'+'+'+;;
'""")
")
# RPK
&&LLKK $$*$
%
P6/'0,*6;0' 9&";;
RPK ""# )) *% $ R
!02'10/5'*6,27+,702'3+7);-04402';'07')'26,7C';02:0*7-B030,7C'40'361/40'10'<(=)4'07'40*60AA-*-0,7'10'>('00()D
!! !(-1/2*0&(0/+(&-(#&'"921/($+#
$,':;0,+,7'4+':+;7-0'.*?'%&("'@=#'102'10/5';04+7-6,2':;)*)10,702'6,'+
RPLRP #" .#?8.#? %
RPK
RP ")
# .#?;
.#?$
%
*0' ./-' 36,7;0' ./0' 402' 1)B-+70/;2' 102' *6,7;+-,702' 07' 102' 1)A6;3+7-6,2' 26,7
:;6:6;7-6,,042'07'./0'4+'*6,27+,70'8'P361/40'10'*-2+-44030,7R'027'16,,)0':+;
RKPL )$%
;8
!! !(-1/2*0&(0/+(&.+(##2*0&%*:(00(&(/&'2-1/1/2*0&9*-$%23$(
$,':;0,+,7'*0770'A6-2%*-'4+'7;+*0'10'4+'46-'10'7((-#'6,'6@7-0,7
RPR&LPRP #(" &"8&" $%
RPLK
RP ")
# &";
&"*
%
*0' ./-' 36,7;0' ./0' 4+' :;022-6,' 36N0,,0' RP&K "&"63(A % ' 027' :;6:6;7-6,,0440' F' 4+
B+;-+7-6,';04+7-B0'10'B64/30' RP#&" '<
RP#&"B63(A %
!"#$%"& ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''''''''''''''''''''''''''''''''''''''''89+:-7;0'&'<'!0'*63:6;7030,7')4+27-./0
KT
4+'*6,27+,70'B'P361/40'1?-,*63:;022-@-4-7)R')7+,7'16,,)0':+;
&
&L
RLKP&
()
$%
*%
8;B
!! ;$(-3$(#&+(-1/2*0#&(0/+(&<(=%>=&<&=&)>&(/&'&
'''&
L'''''
RPL''''
RL&P8B
88
88; $%
$%
$$
% (((
)((
'''RLKP&
'''''RKPL
''''RLKRPKP ))))
)(
*%
$%
*$%
;B
;8
;
!! ?2/(##(#&'(#&*0'(#&@&(/&A
S,'36,7;0'./0'402'B-702202'10':;6:+I+7-6,'102'6,102'H'07'"'26,7';04-)02'+/5'*6,27+,702
1?)4+27-*-7)'07'F'4+'3+220'B64/3-./0'+':+;'402';04+7-6,2
+( 8
C>L$
% '''''''''+8
CD %
U4' 2?0,2/-7' ./0' 402' 302/;02' 10' *02' B-702202' :0;30770,7' 1?027-30;' 0,' :+;7-*/4-0;' 40
*60AA-*-0,7'10'>('00()'<
, - ../
0
112
3
**%
K
KK
L
KL
D> CC)
4+' 1)70;3-,+7-6,' 102' +/7;02' *6,27+,702' 1?)4+27-*-7)' ,)*022-7+,7' 4+' *6,,+-22+,*0' 10' 4+
3+220'B64/3-./0'+D
8-%10226/2'./04./02'B+40/;2'10'*02'B-702202C' 10' 4+'3+220'B64/3-./0' 07' 102'361/402
1?)4+27-*-7)' +226*-)2' :6/;' 4+' 4-7962:9O;0' 07' 40' 3+,70+/' P1?+:;O2'E#'00)#"C' K=VJ' 07
>%)F%C'K=VTRD
86,7-,0,72:;6AD'PW3R +'PWIX3&R C>'PW3X2R CD'PW3X2R ) ;'PYH+R
T%KT LZ[T JDTJ &D\= TDL[L V&D=
KT%&T LV[T JD&[ &DJZ TDL\= =[D=
&T%[T &TVT ZDT[ &DV[ TDLVV KKZDJ
[T%KK[ &\[T VDKZ \DJ[ TDLJT KVVDT
KK[%&J[ &[\T VD&[ \D&T TD< KZLDZ
&J[%\[T &J[T VDVT \DZ[ TDL=\ LK&DL
S*)+,2T%\ KT&T KD[L T TD[ T
\%[ LKTT LDKT K TD&[& [DZ
[%KT &TZT JD\K &DZT TDL[T KT[DK
KT%JT &\TT VDKT \DJ[ TDL[\ KV\D\
JT%LKT &\TT ZDJT \DK[ TDLVV K[TDV
LKT%L\T &J[T VDVT \DZ[ TDL=\ LK&DL
]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
BC(+)2)(#
BC(+)2)(&D&,()"*+,$--."/(0/.12.13$4(5.-1.33$*$/6(-.*+3$4(5"/7./$*$/6
"6-7' /,0' ;6*90' 16,7' 402' :+;+3O7;02' )4+27-./02' P361/40' 10' <(=)4' 07' *60AA-*-0,7' 10
>('00()R'26,7'<';'^'KTKT'H+C')'^'TDL[D
KR'!863:;022-6,'/,-+5-+40
S,'1)*6/:0'1+,2'*0770';6*90'/,')*9+,7-446,'*N4-,1;-./0'10'9+/70/;':'^'LT'*3'07'10
;+N6,'G'^'['*3D'S,'26/307'*07')*9+,7-446,'F'/,0'*63:;022-6,'/,-+5-+40'1?-,70,2-7)
K'W@+;
+R'!_6,,0`'4+'3+7;-*0'1/'70,20/;'102'*6,7;+-,702'1+,2'40';0:O;0'10'B67;0'*96-5D
@R'!_)70;3-,0`C' 0,' +::4-./+,7' 4+' 46-' 10' a66W0C' 4+' B+;-+7-6,' 10' 46,I/0/;' 07' 4+
B+;-+7-6,'1?):+-220/;'10'4?)*9+,7-446,D
*R'!8+4*/40`'4+'B+;-+7-6,';04+7-B0'10'B64/30'2/@-0':+;'4?)*9+,7-446,D
!"#$%"& ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''''''''''''''''''''''''''''''''''''''''89+:-7;0'&'<'!0'*63:6;7030,7')4+27-./0
KK
LR'!8-2+-44030,7'2-3:40
S,'1)*6/:0'3+-,70,+,7'/,')*9+,7-446,'10'A6;30':+;+44)4):-:O10'./0'4?6,'26/307'F
/,'022+-'10'*-2+-44030,7'2-3:40D'S,'302/;0'4?+,I40'10'I4-22030,7'<'4'^'TDTTL[';+1D
+R'!_6,,0`'4+'A6;30'10'4+'3+7;-*0'102'*6,7;+-,702'1+,2'40';0:O;0'10'B67;0'*96-5
@R'!$,' 2/::62+,7' +::4-*+@40' 4+' 46-' 10'a66W0C' 1)1/-;0' 4?-,70,2-7)' 10' 4+' *6,7;+-,70
*-2+-44+,70'+::4-./)0'F'4?)*9+,7-446,D
*R'!b/0440'027'4+'B+;-+7-6,'10'B64/30'c
&R'!863:;022-6,'/,-A6;30
"6-7'3+-,70,+,7'/,0'@6/40'10';+N6,'G!H!['*3'*6,27-7/)0':+;'*0770';6*90'26/3-20'F
/,0':;022-6,'10'*6,A-,030,7'6'^'K'YH+D
+R'!_6,,0`'4+'3+7;-*0'1/'70,20/;'102'*6,7;+-,702D
@R'!b/0' B+/7' 40' 361/40' 10' *63:;022-@-4-7)'c' $,' 1)1/-;0' 4+' B+;-+7-6,' ;04+7-B0' 10
B64/30'2/@-0':+;'4+'@6/40'07'4+',6/B0440'B+40/;'10'26,';+N6,D
BC(+)2)(&E&,&896$,*./16."/($2+9,.*$/613$(:$-(+1,1*;6,$-(931-6.<0$-(=>?
>,' 022+-' 10' 7;+*7-6,' +' )7)' 0AA0*7/)' 2/;' /,' 3+7);-+/D' !02' *6/;@02
1()&"%')&#!*!.*I("3%&'()! $()4'&=.')%$#' J#$K! 07' 1()&"%')&#!*!.*I("3%&'()! 7;+,2B0;2+40J#&K' ' 26,7' 16,,)02' F' 4+' A-I/;0' *-%10226/2D' _)70;3-,0;' 40' 361/40' 10'<(=)4! ;' 07' 40*60AA-*-0,7'10'>('00()!)'10'*0'3+7);-+/D
"5,(H+-
#
TDTTL%TDTTTJ
\TT
BC(+)2)(&F&,&896$,*./16."/($2+9,.*$/613$(:$-(+1,1*;6,$-(931-6.<0$-(=>>?
>,0' 70,2-6,' /,-+5-+40' 10' KD&' W@+;' 027' +::4-./)0' 2046,' 4?+50' 1?/,0' ):;6/B0770
*N4-,1;-./0' 10' I;+,-70' 10' 46,I/0/;':' ^' [' *3' 07' 10' ;+N6,'G'^'L'*3D' !?+446,I030,7
302/;)'027'10'TDTV'33C'7+,1-2'./0'4+';)1/*7-6,'10'26,';+N6,',?+':+2':/'Q7;0'302/;)
+B0*':;)*-2-6,D
S,'26/307')I+4030,7'/,0'):;6/B0770'*/@-./0'1/'3Q30'3+7);-+/'10'KL'33'10'*d7)'F
/,' *-2+-44030,7' 2-3:40C' 4+' *6,7;+-,70' *-2+-44+,70' )7+,7' 10' KD&' W@+;D' S,' 6@20;B0' /,
I4-22030,7'10'TDT\V'33D
+R! _)1/-;0'10'*02'10/5'05:);-0,*02'40'361/40'10'<(=)4!;C'40'*60AA-*-0,7'10'>('00()
07'40'361/40'10'*-2+-44030,7'8D
@R! b/0440')7+-7'4+';)1/*7-6,'10';+N6,'10'4?):;6/B0770'46;2'10'4+':;03-O;0'05:);-0,*0'c
*R! "+*9+,7'./0'4+'3+220'B64/3-./0'10'*0'I;+,-70'027'10'LZTT'WIX3&C'./04402'26,7'402
B-702202'10':;6:+I+7-6,'102'6,102'10'*63:;022-6,'07'10'*-2+-44030,7'c
BC(+)2)(&G&,(@",-."/(:A0/(1,B,$(5C3./:,.<0$
"6-7' ' /,' *N4-,1;0' F' @+20' *-;*/4+-;0' 10' 9+/70/;':' *6,27-7/)' :+;' /,'3+7);-+/' )4+27-./0
2/@-22+,7'/,0'76;2-6,'1?+,I40C':+;'/,-7)'10'46,I/0/;C'4D'LF!)7+,7'4?+50'1/'*N4-,1;0C'40B0*70/;'1):4+*030,7'0,'76/7':6-,7'EJMNANFK'1/'*N4-,1;0'027'+46;2'<
666
7
8
999
:
;*
%
T
RCCP MF
AF
FAM= 44
!
*! 8+4*/40;'0,'76/7':6-,7'10'4?+;@;0'4+'3+7;-*0'1/'70,20/;'102'1)A6;3+7-6,2D
*! 8+4*/40;'4?)7+7'10'*6,7;+-,70'0,'76/7':6-,7'1/'3-4-0/'*6,7-,/D
*! $,'1)1/-;0'40'B0*70/;'*6,7;+-,70'./-'2?+::4-./0'2/;'402'A+*02'2/:);-0/;0'PF!H!:K'07-,A);-0/;0'PF!H!OK':6/;'76/70'B+40/;'10'M!07'10'AP!e0:;)20,70;'*0'*9+3:'10'B0*70/;2
2/;'/,0'10'*02'A+*02D
!"#$%"& ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''''''''''''''''''''''''''''''''''''''''89+:-7;0'&'<'!0'*63:6;7030,7')4+27-./0
KL
BC(+)2)(&H'<'&616(:$(5"/6,1./6$(:1/-(31(5,"D6$
S,' 1)2-I,0' :+;'LF' 4?+50' B0;7-*+4' +2*0,1+,7' 07' :+;'LM' 07'LA' 402' +502' f%"' 07'g%$
;02:0*7-B030,7D'S,'*90;*90' F'1)70;3-,0;' 40' *9+3:'10' *6,7;+-,702'1+,2' 402':;03-0;2
W-463O7;02'10'4+'*;6h70'70;;027;0'10'10,2-7)'36N0,,0'+D
KR'!S,'2/::620'./0'40'*9+;I030,7'027':/;030,7'I;+B-7+-;0D
+R'!_6,,0;'4?05:;022-6,'10'4+'*6,7;+-,70' FF" '0,'A6,*7-6,'10'4+':;6A6,10/;'2P
@R'!$,'20'4-3-7+,7'F'102':;6A6,10/;2'2':07-702'10B+,7'402'10/5'+/7;02'1-30,2-6,2'10'4+
*;6h70'07'0,'A+-2+,7'4?9N:679O20'./0'4+'1)A6;3+7-6,'027'/,-+5-+40'2046,'FN'36,7;0;
0,'+::4-./+,7'4+'46-'10'a66W0'./0'4?6,'+
! RPK
RPRP 222 FFAAMM ")
)""
*%%
!
*R'!e0:;)20,70;' 402' 7;6-2'*6,7;+-,702':;-,*-:+402' 2/;'/,'3Q30'I;+:9-./0D'S,':;0,1;+
+!^'LVTT'WID3%&C'4!H'KT'3D2%L'07')'^'TDL[D
1R'!8+4*/40;'402'*6,7;+-,702'1)B-+76;-./02D
!
LR'!S,'2/::620'3+-,70,+,7'./0'4+'*;6h70'027'26/3-20'F'/,0'*6,7;+-,70'70*76,-./0'$%g
*63:;022-B0'1?-,70,2-7)' (" D
+R'!_6,,0;'4?05:;022-6,'10'4+'3+7;-*0'1/'70,20/;'102'*6,7;+-,702D
@R'!e0:;)20,70;' 0,' A6,*7-6,' 10' 2' 402' 7;6-2' *6,7;+-,702' :;-,*-:+402' 07' 1)70;3-,0;' 4+
:;6A6,10/;':6/;'4+./0440'6,'+ DFFAA "" %
BC(+)2)(&I&,&&5"05E$(./53./9$
"6-7'/,0'*6/*90'10'2)1-30,72'1?):+-220/;'2'07'10'3+220'B64/3-./0'+';0:62+,7'2/;'/,2/@27;+7/3';-I-10'-,*4-,)'1?/,'+,I40!<':+;';+::6;7'F'4?96;-`6,7+40D'S,'1)2-;0')7/1-0;'4+;):+;7-7-6,'102'*6,7;+-,702'1+,2'*0770'*6/*90'1/02'F'4+':02+,70/;D
S,'/7-4-20;+'402',67+7-6,2'07'40';0:O;0''-,1-./)2'2/;'4+'A-I/;0'*-%10226/2D
S,'A0;+'402'9N:679O202'2/-B+,702<
*! 4+' 1-30,2-6,' 10' 4+' *6/*90' 1+,2' 4+' 1-;0*7-6,'A' 027' 7;O2' I;+,10' :+;' ;+::6;7' F' 26,):+-220/;'2!i
*! 402' 1)A6;3+7-6,2' 0,I0,1;)02' :+;' 40' *9+;I030,7' 4"%?'&%'"#' ;0270,7' 2/AA-2+330,7:07-702'i
*! 40' *6,7+*7' 0,7;0' 4+' *6/*90' 2)1-30,7+-;0'07' 40' 2/@27;+7/3'027' :+;A+-7' P1):4+*030,7,/4R'i
*! 4+'2/;A+*0'2/:);-0/;0'10'4+'*6/*90'PA!H!2K'027'/,0'2/;A+*0'4-@;0D
KR! $,'B0;7/'10'4+':;03-O;0'9N:679O20C'4+'1)A6;3+7-6,'027':4+,0'07'402'1):4+*030,72
,0'1):0,10,7'./0'10'F'<
, -RPCTRCP F=F== FM%!
_6,,0;' +46;2C' *6,A6;3)30,7' F' 4+' 10/5-O30' 9N:679O20C' 4?05:;022-6,' 1/' 70,20/;
102'1)A6;3+7-6,2'-,A-,-7)2-3+402'0,'76/7':6-,7'10'4+'*6/*90D!
LR! $,' 1)1/-;0' 4?05:;022-6,' 1/' *9+3:' 10' *6,7;+-,702' 0,' 2/::62+,7' ./0' 402
1)A6;3+7-6,2';0270,7')4+27-./02'07'./0'4+'46-'10'7((-#'027'+::4-*+@40'P6,',670;+'(07'8'402'*60AA-*-0,72'10':%3*RD
&R! _6,,0;' 4?05:;022-6,' 10' 76/702' 402' A6;*02' +I-22+,7' 2/;' /,' )4)30,7' 10' B64/30
*63:;-2' 0,7;0'M' 07'MQ.M' 07' 0,7;0' F' 07' FQ.F' 07' 10' 4+;I0/;' /,-7)D'S,' )B+4/0;+' 402
A6;*02'10'2/;A+*0'+/'3-4-0/'102'A+*02':+;'0503:40D'$*;-;0'+46;2'4?)./-4-@;0'10'*07
)4)30,7' 07' 7;6/B0;' :+;' -,7)I;+7-6,' 4?05:;022-6,' 1/' 1):4+*030,7D' >7-4-20;' 402
*6,1-7-6,2'+/5'4-3-702':6/;'7;6/B0;'76/702'402'*6,27+,702'1?-,7)I;+7-6,D!
\R! 8+4*/40;'40'B0*70/;'*6,7;+-,70' T&!
'F'4+'@+20'10'4+'*6/*90D'$,'1)1/-;0'4+'*6,7;+-,70
,6;3+40'07'4+'*6,7;+-,70'7+,I0,7-0440'./-'2?N'+::4-./0,7D
!"#$%"& '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 '''''''''''''''''''''''''''''''''''''''''89+:-7;0'<'='8;-7>;02'10':4+27-*-7)'07'10';/:7/;0
?&
!"#$%"&'&()*+,$&#$+&-*#&.+/01+*#&2*&)-(#0/./0"&*0&2*&+$)0$+*
@/' 104A' 1B/,0' *0;7+-,0' 2644-*-7+7-6,C' /,' 3+7);-+/' ,0' 20' 1)D6;30' :4/2' 10' D+E6,
;)F0;2-G40'='102'!"#$%&'()$*+,-.%&'*.*(.+'+::+;+-220,7H
I,'./+4-D-0'*0'*63:6;7030,7'10'-/'+()01.!'2B-4'027'-,1):0,1+,7'10'4+'F-70220'A'4+./0440
20'D+-7'4+'1)D6;3+7-6,H
I,' :0/7' 1-27-,J/0;' :+;3-' *02' 1)D6;3+7-6,2' -;;)F0;2-G402' *04402' :6/;' 402./04402' 40
3+7);-+/';0270'*6,7-,/'10'*04402'./-C'+/'*6,7;+-;0C'*6;;02:6,10,7''A'102';/:7/;02C'*B027
A'1-;0'A'4+'*;)+7-6,'10'1-2*6,7-,/-7)2'J)63)7;-./02'KD-22/;02C'D;+*7/;02C'D+-4402C'HHHLH
!02':;03->;02'D6,7':+;7-0'102'1)D6;3+7-6,2'./0'4B6,'+::0440'!12()/.+'402'20*6,102'26,7
1-702'2'++'*(.+'6/'#%'3)/.+H
M,0';6*90':+;'0503:40'20'*63:6;70'10'D+E6,'D;+J-40'A'D+-G40':;022-6,'10'*6,D-,030,7
07' 2+' %"+)+('*2., 4, /', %1-(1%.' +/J30,70' +F0*' *0770' :;022-6,' K*D'@,,0502'@?' 07'@NLH
O6/;' 102' :;022-6,2' -3:6;7+,702' 0440' :0/7' 2/G-;' 102' 1)D6;3+7-6,2' :4+27-./02
-3:6;7+,702'2+,2';/:7/;0H
"! 3421-*&(5(-46/7$*
!B+::+;-7-6,' 1B/,0' 1)D6;3+7-6,' :0;3+,0,70')7+,7' /,' :9),63>,0' A' 20/-4C' 40'361>40
+,+46J-./0'*6;;02:6,1+,7'027'*04/-'1/':+7-,'D;677+,7
#
#
s
PPPPPPPPPPPPPPPPPPP
K!L'+770,7-6,'+/'D+-7'./0'*0'./+4-D-*+7-D'Q':4+27-./0'R'027'26/F0,7'03:46S)C',67+330,7'0,'J)646J-0C':6/;1)2-J,0;'/,'*63:6;7030,7'F-2./0/5'07'16,*'1):0,1+,7'10'4+'F-70220'10'1)D6;3+7-6,
!0':+7-,'K:02+,7L',0':0/7'+F+,*0;'2-'4B-,70,2-7)'10'4+'D6;*0'#,'027'-,D);-0/;0'A'*0440'10'4+D6;*0'10'D;677030,7'#+'=
T$%& '## !+
'! '1)2-J,+,7'4+'F-70220'1/':+7-,H"B-4'+F+,*0C'4B-,70,2-7)'10'4+'D6;*0'027')J+40'A'*0'20/-4'07',0':0/7'40'1):+220;'K3+-2'*0
20/-4':0/7'F+;-0;'+/'*6/;2'1/'J4-22030,7L'=
+##' $%( T!
U+,2'76/2'402'*+2'6,'+'16,*' +## ) '07'40'J4-22030,7',B+'4-0/'./0'46;2./B-4'S'+')J+4-7)H
80' 7S:0' 10' ;04+7-6,' *6,27-7/0' *0' ./0' 4B6,' +::0440' /,' *;-7>;0' 10' :4+27-*-7)' K6/
1B"2$1/.&.*(LH
"! 89)+*##/45#&2*&7$*-7$*#&.+/01+*#
U0'3+,->;0'D6;30440C'/,'*;-7>;0'10':4+27-*-7)'20':;)20,70'16,*'26/2'4+'D6;30
TLK )##
6V' #' 1)2-J,0' /,0' *0;7+-,0' D6,*7-6,' 1/' 70,20/;' 102' *6,7;+-,702H' !0' 1)F046::030,7
1B-;;)F0;2-G-4-7)2',0':0/7'+F6-;'4-0/'./0'46;2./B-4'S'+')J+4-7)H
5((.*()$*,6,-$1%,+.,2$*#$%&.%,4,/71+'3.,8'9)(1.//.&.*(,1()/)+",.*,3"$/$3).,.(,.*,&"2'*)01.,!.+
+$/+:,$*,'!$-(.,-$1%,/.,+)3*.,!.,/',2$*(%')*(.,*$%&'/.,/',2$*;.*()$*,)*;.%+.,!.,2.//.,<1+017)2)
1()/)+".=,>*.,2$*(%')*(.,*$%&'/.,-$+)();.,2$%%.+-$*!%',!$*2,4,1*.,2$&-%.++)$*=
?.+,2$*(%')*(.+,-%)*2)-'/.+,+.%$*(,($1<$1%+,$%!$**".+,+./$*, &N? ### ** =
+! *;-7>;0'10'@%.+2''K?WXWL
8B027'/,'*;-7>;0'./-'4-3-70'4B-,70,2-7)'10'4+'*6,7;+-,70'7+,J0,7-0440'='Y,Y')',$86330'4+'*6,7;+-,70'7+,J0,7-0440'3+5-3+40'027')J+40'+/';+S6,'1/':4/2'J;+,1'*0;*40'10
A$8%C'*0'*;-7>;0'2B05:;-30'0,'D6,*7-6,'102'*6,7;+-,702':;-,*-:+402':+;
- . TN
?LK &? )++$ $# ,###
$, '027'/,0'*6,27+,70'3+7);-0440'*6;;02:6,1+,7'+/'20/-4'10'*6,7;+-,70'46;2'1B/,'022+-'10
*-2+-44030,7'2-3:40H
!"#$%"& '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 '''''''''''''''''''''''''''''''''''''''''89+:-7;0'<'='8;-7>;02'10':4+27-*-7)'07'10';/:7/;0
?<
+! *;-7>;0'B$*,A)+.+'K?Z?&L
80'*;-7>;0'4-3-70'4+'10,2-7)'1B),0;J-0'10'!)+($%+)$*C'*B027'A'1-;0'4+'./+,7-7)
/$<)
)<)<! .+CCN
?
6V'402'+)<,07'.)<'26,7'402'*63:62+,702'102'1)F-+70/;2'102'*6,7;+-,702'07'102'1)D6;3+7-6,2C
;02:0*7-F030,7H' "-' 4B6,' 2/::620' /,' *63:6;7030,7' )4+27-./0' 6,' +' +)<' [' N\.)<' 07' *0
*;-7>;0':0/7'2B)*;-;0'26/2'4+'D6;30
TN
?LK NN
)+$ D!.;# ##
6V, D,027' /,0' *6,27+,70'3+7);-0440H'$*;-7' 26/2' *0770' D6;30C'D' *6;;02:6,1C' 4A' +/22-C' +/
20/-4'0,'*-2+-44030,7'2-3:40H
I,':0/7'+/22-'05:4-*-70;'*0'*;-7>;0'0,'*6,7;+-,70':;-,*-:+40
- . - . - . TX NN?&
N&N
NN? )++0+0+ D######
+! *;-7>;0'10'A$8%EF$1/$&9'K6/'10'F$1/$&9EG';).%H
!02' 10/5' *;-7>;02' :;)*)10,72' ,0' 1):0,10,7' :+2' 10' 4+' :;022-6,' 6/' 10' 4+' *6,7;+-,70
,6;3+40']' +/*/,0' -;;)F0;2-G-4-7)' ,B027' 16,*' :622-G40' 26/2' /,' )7+7' 10' *6,7;+-,70
9S1;627+7-./0H'U0':4/2C' 402' 20/-42'0,' 7;+*7-6,'6/'0,'*63:;022-6,'26,7' 402'3^302H' _42
26,7':6/;'*0770';+-26,':0/'+1+:7)2'+/5';6*902'07'+/5'2642H'M,'*;-7>;0':6/F+,7'^7;0'F/
*6330'4+'J),);+4-2+7-6,'10'*04/-'10'@%.+2','027'40'*;-7>;0'10'A$8%EF$1/$&9'./-'4-3-70
4B)70,1/0'102'103-%*0;*402'10'A$8%'A'/,0'`6,0'*63:;-20'0,7;0'4B+50'I#*'07'/,0'1;6-7010':0,70'1,['7+,2'=
#
34,43
n
c
2
34,434$414
#4440c
n
# #13
80'*;-7>;0'2B)*;-7'16,*
TLK )++$ 2# *1#,#
!6;2./B-4'S'+')J+4-7)'40':4/2'J;+,1'*0;*40'10'A$8%,027'7+,J0,7'A'4+'1;6-70H
!+':0,70'10'*0770'1;6-70C'1'['7+,2C'027'+::04)'*60DD-*-0,7'10' D;677030,7' -,70;,0C'2' 0274B+,J40' 10' D;677030,7' -,70;,0H' !B6;16,,)0' A' 4B6;-J-,0C' 2C' ;0:;)20,70' 4+' *69)2-6,' 1/
3+7);-+/H
$,' /7-4-2+,7' 402' 05:;022-6,2' 10' #*' 07' 10' ,' 0,' D6,*7-6,' 102' *6,7;+-,702' :;-,*-:+40246;2./0' 4B6,' 20' 7;6/F0' 2/;' 40' J;+,1' *0;*40' 10'A$8%C' 6,' :0/7' 05:;-30;' 40' *;-7>;0' 10
A$8%EF$1/$&9,0,'D6,*7-6,'102'*6,7;+-,702':;-,*-:+402'=
T*62NL2-,?KL2-,?K &? )+0++ 22#2# 2
a03+;./6,2'./0'1+,2'*0'*;-7>;0'4+'*6,7;+-,70'-,70;3)1-+-;0C'#NC',0'b6/0'+/*/,';c40H
"! :+"2/.0/45&2*&-;/5.-/5(/#45&2*#&<(/--*#&#*-45&-*&.+/01+*&2*&!"#$%&%'"()"*+
@/'3630,7' 6V' 4+' ;/:7/;0' 20' :;61/-7' 40' :4/2' J;+,1' *0;*40' 10'A$8%, 027' 7+,J0,7' A' 4+
1;6-70'Y,Y'['1#*,d'2H'!+';/:7/;0'20':;61/-7'16,*'2/;'/,':4+,'KJL'6;796J6,+4'+/'N>30':4+,
:;-,*-:+4' KKJH, *6,7-0,7' 16,*' 4B+50' 1/'#NLH' "-' 4B6,' 1)2-J,0' :+;'5, 4B+,J40' ./0' D+-7' 4+,6;3+40'A'KJL'+F0*'4B+50'1/'#?'6,'+
#
34,43
n
O2
# #1
65744+465
(P) 3
1
3
5
n
84$4796+5
4B+,J40'5'+/'3630,7'10'4+';/:7/;0'027'16,*'<N
725 0$
!"#$%"& '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 '''''''''''''''''''''''''''''''''''''''''89+:-7;0'<'='8;-7>;02'10':4+27-*-7)'07'10';/:7/;0
?e
!B-,*4-,+-26,'8'1/':4+,'10';/:7/;0'+F0*'4B+50'1/'#?'027'16,*'-,D);-0/;0'A'<efC'*0'./-05:4-./0':6/;./6-'402'D+-4402',6;3+402'K#?'F0;7-*+4L'26,7'A'D6;7':0,1+J0'+46;2'./0'402D+-4402'-,F0;202'K#?'96;-`6,7+4L'6,7'/,':0,1+J0':4/2'D+-G40H
n5
5
#1
n
#1
#3
3#
5
8
PPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
89*+./.*#
K'--./,6,1()/)+.%,/',2$*;.*()$*,6'# # #? N &* * '07'# * * T '0,'*63:;022-6,
89*+./.*&=&'&,-./01213401"/%-.%3$105$.6
"6-7' /,'3+7);-+/' 16,7' 6,' ,0' 2+-7' :+2'', -%)$%)' 2B-4' 6G)-7' +/' *;-7>;0' 10'@%.+2'' 6/' +/
*;-7>;0'10'B$*,A)+.+H
?L'!I,' 0DD0*7/0' /,' 022+-' 10' *63:;022-6,' /,-+5-+40H' I,' *6,27+70' ./0' 4B)*6/4030,7
:4+27-./0'*6330,*0'46;2./0'4+'*6,7;+-,70'10'*63:;022-6,'+770-,7'/,0'F+40/;'# g H
!U6,,0;'4B05:;022-6,'10' o, '07'k '0,'D6,*7-6,'10'#g H
!
NL! I,' 0DD0*7/0' 3+-,70,+,7' /,' 022+-' 10' *-2+-44030,7' 2-3:40H' I,' *6,27+70' ./0
4B)*6/4030,7':4+27-./0'*6330,*0'46;2./0'40'361/40'10' 4+'*6,7;+-,70' 7+,J0,7-0440
3+5-3+40'+770-,7'/,0'F+40/;',!H!U6,,0;'4B05:;022-6,'10' o, 07'D,'0,'D6,*7-6,'10',
!H
!
&L! 86330,7C'A':+;7-;'102'10/5'022+-2':;)*)10,72C':0/7%6,'1)70;3-,0;'40./04'102'10/5
*;-7>;02'*6,F-0,7':6/;'*0'3+7);-+/'h
89*+./.*&>'='''4)3()%-.%3%.0%:%3"//41664/0%5%.0%).6%3"/0$41/0.6
$,'+::4-./+,7'A'/,')*9+,7-446,'10';6*90'4B)7+7'10'*6,7;+-,70'2/-F+,7
# ? ?NT$ (O+ '''''# #N & &T$ $ (O+
6,'6G20;F0'/,0';/:7/;0'16,7'40':0,1+J0'027';'['XTf'KF6-;'D-J/;0LH
;
#
#
<
=
#6
#;+*0;' 40' 1-+J;+330' 10' A$8%, :/-2' 1)70;3-,0;' 402' :+;+3>7;02' 1/' *;-7>;0' 10
A$8%,+,F$1/$&9, K+,J40'10' D;-*7-6,':' 07' *69)2-6,'2L' 2/::62)' ;)J-;' 40' *63:6;7030,7*+22+,7'10'*0770';6*90H
89*+./.*&?'=''4)3()%-.%3%.0%:%3"//41664/0%).6%3"/0$41/0.6%78%.664169
M,'3+7);-+/' 027' 26/3-2' A' :4/2-0/;2' )7+72' 10' *6,7;+-,70' (%)'L)'1L' +D-,' 10' 1)70;3-,0;
4B0,F046::0'10'A$8%'2/::62)0'4-,)+-;0H
8-%10226/2'402'*6,7;+-,702':;-,*-:+402'+770-,702'+/'3630,7'10'4+';/:7/;0':6/;'10/5'10
*02'022+-2'=
?0;'022+-'''='#?'['eTT'(O+C'#N'['#&'['NN'(O+N>30'022+-'='#?'['ZNT'(O+C'#N'['#&'['ii'(O+
?L! j/04402' 26,7' 402' F+40/;2' 10' 4+' *69)2-6,' 07' 1/' *60DD-*-0,7' 10' D;-*7-6,' -,70;,0' 1/
3+7);-+/'h
NL! 8+4*/40;' 4+' *6,7;+-,70' ,6;3+40' 07' 4+' *6,7;+-,70' 7+,J0,7-0440' 2/;' 402' :4+,2' 10
;/:7/;0H
!"#$%"& '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 '''''''''''''''''''''''''''''''''''''''''89+:-7;0'<'='8;-7>;02'10':4+27-*-7)'07'10';/:7/;0
?X
89*+./.*&@&'&:$"21)6%-.%$;61604/3.%-.%)4%3$"<0.
I,'2/::620'./0'40'*63:6;7030,7'D;+J-40'10'4+'*;6k70'2/:);-0/;0'027';)J-7':+;'40'*;-7>;0
10'A$8%%F$1/$&9H
(6,7;0;' ./0' 4+' *6,7;+-,70' 1-DD);0,7-0440'#7, [' Y#?' %' #&Y' ,)*022+-;0' :6/;' +770-,1;0' 4+;/:7/;0'027':4/2'J;+,10'0,'*63:;022-6,'./B0,'7;+*7-6,H'I,'2/::620;+'./0'4+'*6,7;+-,70
F0;7-*+40'027'#;'['>3MH
89*+./.*&A&'&!.6($.6%1/%610(%.0%*.6($.6%./%)4+"$40"1$.
U02'302/;02' 0,' D6;+J02'36,7;0,7' ./0' 4+' 4-3-70' +770-,70' :+;' 40' ;+::6;7'#?l#&' 027' 104B6;1;0' 10' N' :6/;' 102' :;6D6,10/;2' *63:;-202' 0,7;0' ?' 07' i' m3' :6/;' 102' ;)J-302
0570,2-D2'07'1)*;6*9+,72H
U)70;3-,0;'40'*60DD-*-0,7'10'D;-*7-6,'1'1/'*;-7>;0'10'A$%8%F$1/$&9'0,'2/::62+,7'./0402'D6;*02'10'*69)2-6,'26,7',)J4-J0+G402H
!+' F+40/;' 10' *0' *60DD-*-0,7' 1)70;3-,)0' 0,' 4+G6;+76-;0' 027' 10' 4B6;1;0' 10' THXH' 'j/0440
*+/20':;6G+G40':0/7'05:4-./0;'*0770'1-DD);0,*0'h
B55*9*#
B=
U)D6;3+7-6,'10'<')*9+,7-446,2'10'3+;G;0'KJ'(.%+$*':H'?X&L'+:;>2'*63:;022-6,'26/2'1-DD);0,70
:;022-6,'10'*6,D-,030,7'K+'=':;022-6,'+3G-+,70C'G'='&He'(O+C'*'='&e'(O+C'1'='?TT'(O+LH'I,'F6-7
./0'40'3+7);-+/'027'1B+/7+,7'36-,2'*+22+,7'./0'4+':;022-6,'027'J;+,10H
B>
86/;G02'*6,7;+-,70'1-DD);0,7-0440'%'1)D6;3+7-6,'46,J-7/1-,+40'6G70,/02':+;'J'(.%+$*'07'36,7;+,7
4+'1):0,1+,*0'10'4+':;022-6,'2/;'4+';)2-27+,*0'A'4+';/:7/;0H
!"#$%"&' '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''#89':'!0';<677030,7'=-2./0/5
9>
!"#$%&$'()!!&*&+!$,-./0&01
"2(!-&$!34)(-/0&
-56789:;6<85
?6,2-1)<6,2' /,' 3-4-0/' *6,7-,/' @/,' ;4/-10' 6/' /,' 264-10A' 07' -2646,2' 10/5' B6<7-6,2
)4)30,7+-<02'=6-2-,02C
"-' *02' 10/5' B6<7-6,2' 26,7' 0,' *6,7+*7' 07' 0,' 36/=030,7' <04+7-;' 4D/,0' B+<' <+BB6<7' E
4D+/7<0F' 102' ;6<*02' 2D6BB62+,7' E' *0' 36/=030,7' B<0,,0,7' ,+-22+,*0' E' 40/<' ;<6,7-G<0
*633/,0C'?02';6<*02'10'7=><>6?5;@'26,7'+BB04)02';6<*02'10'A7866@B@56'07'40/<'7<+=+-4027'1-22-B)'26/2';6<30'10'*H+40/<C
I,' B+<40' 10$ A7866@B@56$ C<>D:@:E' 2-' 4+' ;6<*0' 10' ;<677030,7' 1)B0,1' 10' 4+' =-70220<04+7-=0C'?02';6<*02'1-2B+<+-220,7'1G2'./0'*0220'40'36/=030,7'0,7<0'402'10/5'B6<7-6,2C
!0'J/7'10'*0'#8'027'10'3077<0'0,')=-10,*0'*0'7KB0'10';<677030,7'07'1D)7/1-0<'./04./02
BH),63G,02' 4-)2' +/' *63B6<7030,7' =-2./0/5' 7042' ./0' 40' BH),63G,0'10'AF:?G@' 07' 107@F?E?6<85C
(?HH@F$>:7$F@$A7866@B@56$C<>D:@:E
"/BB626,2''./0''4+'=-70220'0,'76/7'B6-,7'1D/,'';4/-10''0,''36/=030,7''+-7''4+
3L30' 1-<0*7-6,C' "6-0,7' +46<2' 10/5' *6/*H02
B4+,02' B+<+44G402' +/' =0*70/<' =-70220F' 2)B+<)02
1D/,0'1-27+,*0'!"'07'10'2/<;+*0'#C'$,'76/7'B6-,7
1D/,0'3L30'*6/*H0'402'B+<7-*/402'1/'3-4-0/'6,7
4+' 3L30' =-70220C' "-' 402' 10/5' *6/*H02' 6,7' 102
=-702202'1-;;)<0,702'04402'M4-220,7'4D/,0'2/<$
$%!$
!"
&'
&'
#
4D+/7<0' 07' 16,*' 102' ;6<*02' 10' <)2-27+,*0' B<0,,0,7' ,+-22+,*0' 2D6BB62+,7' E' *0770
1);6<3+7-6,'46*+40'1/'3-4-0/C'"6-7'$(40'361/40'10'4+'=-70220'1D/,0'102'*6/*H02'07'$%!$
*04/-'10'4+'*6/*H0'E' 4+'1-27+,*0'!"C'!+'=-70220'<04+7-=0'027'16,*'!$'07' 402';<677030,72
*<)0,7' 102' ;6<*02' B+<+44G402' E' *0770' =-70220C' !+' ;6<*0' 10' ;<677030,7' +BB4-./)0' E' 4+
*6/*H0'4+'B4/2'<+B-10'70,1'E'4+'<+40,7-<F'4+';6<*0'10';<677030,7'+BB4-./)0'E'4+'*6/*H0'4+
B4/2'40,70'70,1'E'4D+**)4)<0<C
!D05B<022-6,' 10' *02' ;6<*02' 10' ;<677030,7' ,0' B0/7' L7<0' 1)70<3-,)0' ./DE' B+<7-<
1D05B)<-0,*02'10'4+J6<+76-<0'07'1)B0,1'J-0,'0,70,1/'10'4+',+7/<0'1/'3-4-0/')7/1-)F'10
4+'=-70220'102'B+<7-*/402'07'10'2+'<)B+<7-7-6,F'10'4+'1-27<-J/7-6,'10'4+' 703B)<+7/<0F'07*C
N,0'70440'05B<022-6,'027'+BB04)0'F8<$9@$;8BH876@B@56C
I=A<5<6<85$9J:5$AF:<9@$!"#$%!&"!
!+';6<30'4+'B4/2'2-3B40'027')7+J4-0'B6/<'402'3-4-0/5'1-72'!"#$%!&"!''07'05B<-30'./0'4+
;6<*0'10' <)2-27+,*0' 027' B<6B6<7-6,,0440' E' 4+' =+<-+7-6,' 2B+7-+40' 10' 4+' =-70220' @*%E%1' +/
M<+1-0,7'10'=-70220AC''$440'2D)*<-7'B6/<'40'*+2'*6,2-1)<)'B4/2'H+/7':
'''''''''''''''''''''''''''''''!"
!$#&' !" ''''''''@F8<$9@$("#$%!A
6O' 40' *60;;-*-0,7' 10' B<6B6<7-6,,+4-7)' !' 027' +BB04)' ;8@AA<;<@56$ 9@$ C<>;8><6=$ 6/2-3B4030,7'=-2*62-7)C'!0' 70<30' !"!$"$ "A@P 027' 40'G7?9<@56$9@$C<6@>>@'07' 7<+1/-7' 4+
=+<-+7-6,'10'=-70220'./+,1'6,'B+220'1D/,0'*6/*H0'E'/,0'+/7<0C'!D/,-7)',6<3+4-2)0'10'4+
=-2*62-7)'027'40'8+C2C'!D-,=0<20'10'4+'=-2*62-7)'027'4+'AF:<9<6=C
84/2' /,' 3-4-0/' 20<+' =-2./0/5' 36-,2' -4' 20<+' ;4/-10'Q' -4' 2D)*6/40<+' 16,*' B4/2
1-;;-*-4030,7C'!02'*6<B2'264-102'26,7'+-,2-';6<3)2'10'3+7-G<0'7<G2'=-2./0/20C
R03+<./6,2'./0'40'<+BB6<7'&''S'#'027'/,0'*6,7<+-,70C'!+'46-'10'*63B6<7030,7'4-+,7'402
*6,7<+-,702'+/5'=-702202'10'1);6<3+7-6,2'1+,2'/,';4/-10')*+,-).*)'-,*63B<022-J40'027
2-3B4030,7
#!$ !T"
6O'$'027'40'70,20/<'102'*6,7<+-,702'07' #! '027'40'7+/5'10'1);6<3+7-6,'16,,)'0,';6,*7-6,1/'=0*70/<'=-70220'$'B+<
% &/$$ '('"T
9#!
$-5AF:@5;@$9@$F?$6@BH=7?6:7@$>:7$F?$C<>;8><6=
!+'=-2*62-7)'027'0,'M),)<+4'7<G2'20,2-J40'E'4+'703B)<+7/<0'3+-2'*0770'20,2-J-4-7)'20';+-7
1-;;)<0330,7' B6/<' 402' 4-./-102' ./0' B6/<' 402' M+UC' $,' <0=+,*H0F' 4+' =-2*62-7)' 027
<04+7-=030,7'-,20,2-J40'E'4+'B<022-6,C
!"#$%"&' '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''#89':'!0';<677030,7'=-2./0/5
9V
)! ?+2'102'4-./-102
!+' =-2*62-7)' 102' 4-./-102' 1-3-,/0' +=0*' 4+' 703B)<+7/<0' @-42' 20' ;4/-1-;-0,7' 46<2./D-42
2D)*H+/;;0,7A' 07' *0770' =+<-+7-6,' B0/7' L7<0' 7<G2' ;6<70F' *D027' 40' *+2' 10' 4D0+/' 6/' 10' 4+
M4K*)<-,0'B+<'0503B40F'1+,2'4+'M+330'102'703B)<+7/<02'+3J-+,702C'?0770'6J20<=+7-6,
2D05B4-./0' B+<' 4D+/M30,7+7-6,' 102' 1-27+,*02' -,70<364)*/4+-<02' @07' 16,*' B+<' /,0
1-3-,/7-6,'102';<677030,72A'B<6=6./)0'B+<'4D)4)=+7-6,'10'4+'703B)<+7/<0C
)! ?+2'102'M+U'
W/' *6,7<+-<0' 1+,2' 402' M+UF' 4D+/M30,7+7-6,' 10' 4+' 703B)<+7/<0' 0,7<+X,0' /,0
+/M30,7+7-6,'10'4+'=-70220'102'364)*/402'07'B+<'2/-70'1/'7+/5'10'*644-2-6,C'!+'=-2*62-7)
+/M30,70'16,*'+=0*'4+'703B)<+7/<0C
Y6-*-'402'=+40/<2'10'=-2*62-7)'@0,'8+C2A'10'./04./02'*6<B2':
ZK1<6MG,0'@E'T[\?A
WU670'@E'T[\?A
W-<'@E'T[\?A
$+/'@E'T[\?A
!+-7'@E'T[\?A
Z/-40'1D64-=0'@E'T[\?A
(-04'4-./-10'@E'T[\?A
VC]'9[%^
9>C_'9[%^
9VC_'9[%^
9C[[_'9[%&
T'9[%&
V`'9[%&
*'^
W2BH+470'@E'9_\?A
a4+*0'10'M4+*-0<
W27H),62BHG<0@0,7<0'9[['07'&[['b3'10
B<6;6,10/<A
*'9[]
*'9[9_
*'9[9V+'9[T9
*@>:7@$9@$F?$C<>;8><6=$9@>$F<D:<9@>
c4' 05-270' B4/2-0/<2' +BB+<0-44+M02' B6/<' 302/<0<' 40' *60;;-*-0,7' 10' =-2*62-7)' !' 1024-./-102C'$,'=6-*-'./04./02%/,2':
+! =-2*62-3G7<02'E'36J-402'76/<,+,72':'6,'/7-4-20'B+<'0503B40'4+'3)7H610'10'0-1*,,*./-'302/<0'4+'<)2-27+,*0'E'4+'<67+7-6,'1D/,'*K4-,1<0'-330<M)'1+,2'40'4-./-10C
+! =-2*62-3G7<02' E' )*6/4030,7' 4+3-,+-<0':' 6,' 302/<0' 40' 703B2' 1D)*6/4030,7' 1/4-./-10'E'7<+=0<2'/,'6<-;-*0'10';+-J40'1-+3G7<0C
+! =-2*62-3G7<02'E'*H/70'10'J-440':'6,'302/<0'40'703B2'./0'307'4+'J-440'B6/<'B+<*6/<-</,0'1-27+,*0'16,,)0'E'=-70220'*6,27+,70C
d+,2'/,'B<03-0<'703B2'6,'/7-4-20<+F'1+,2'40'*+1<0'10'*0'#8F'4+'10<,-G<0'3)7H610'*-7)0
*-%1022/2' B6/<'302/<0<' 4+' =-2*62-7)' 10' 4+' M4K*)<-,0C' 8/-2' 1+,2' /,' 20*6,1' 703B2' 6,
<)+4-20<+' /,0' 05B)<-0,*0' 10' *-2+-44030,7' E' *6,7<+-,70' *6,27+,70' 1D/,0' *6/*H0' 10
2-4-*6,0F' *0' ./-' B0<3077<+' 1D6J20<=0<' 40' BH),63G,0' 10' ;4/+M0' 07' 1D0,' 1)1/-<0' 4+
=-2*62-7)'10'*0770'2-4-*6,0C'$,'2/BB<-3+,7'4+';6<*0'367<-*0'6,'B6/<<+'10'B4/2'6J20<=0<
40'BH),63G,0'10'<04+5+7-6,'7<+1/-2+,7'4+'1-22-B+7-6,'1D),0<M-0C
2HHF<;?6<85>
?K$LM:6@$9J:5@$>HMN7@$9?5>$:5$F<D:<9@
"-'4D6,'B4+*0'/,0'2BHG<0'10'<+K6,'2'1+,2'/,';4/-10'=-2./0/5'./-'2D)*6/40'2/-=+,7'/,
7=G<B@$ F?B<5?<7@' +=0*' /,0' =-70220' 10' 361/40' $F' 6,' 36,7<0' ./0' 40' 361/40' 10' 4+<)2/47+,70'102';6<*02'10';<677030,7'./-'2D050<*0'2/<'4+'2/<;+*0'10'4+'2BHG<0'027'16,,)
B+<
$2& !,^"?D027'4+'A87B:F@$9@$)$%*"'C"-' 3+-,70,+,7' 6,' *6,2-1G<0' 40' ;4/-10' -336J-40' 07' 4+' 2BHG<0' 20' 1)B4+e+,7' E' =-70220
*6,27+,70'$F' *6<<02B6,1+,7' E' /,' )*6/4030,7' 4+3-,+-<0F' 40' 4-./-10' 050<*0' 2/<' 4+' J-440
/,0';6<*0'10';<677030,7'./-'+'4+'3L30'05B<022-6,'./0'B<)*)10330,7C'!+';6<3/40'10
#,-3*4'B0<307'16,*'10'1)70<3-,0<'4+'=-70220'4-3-70'$5'+770-,70'B+<'/,0'2BHG<0'763J+,7
1+,2'/,';4/-10'10'=-2*62-7)'!C$,'0;;07F'402';6<*02'./-'2D050<*0,7'2/<'4+'J-440'-330<M)0'./-'763J0'26,7':
+! 26,'B6-12':';6<*0'1-<-M)0'=0<2'40'J+2'07'10'361/40' 67-
+! 4+'B6/22)0'1D89:;.<=!*':';6<*0'1-<-M)0'=0<2'40'H+/7'07'10'361/40' 67--
+! 4+';6<*0'10';<677030,7':';6<*0'1-<-M)0'0,'20,2'-,=0<20'1/'36/=030,7'@16,*'=0<2'40H+/7'2-'4+'J-440'763J0A'07'10'361/40' vR!,6
6O'4D6,'+',67)'7'40'=64/30'10'4+'J-440F'-(4+'3+220'=64/3-./0'10'4+'J-440F'--'4+'3+220=64/3-./0' 1/' ;4/-10' @6,' 2/BB620<+F' B6/<' ./0' 4+' J-440' 763J0F' ./0' ' -( f( --' A' 07' 64D+**)4)<+7-6,'10'4+'B02+,70/<C
!D)./+7-6,'1/'36/=030,7'2046,'4+'=0<7-*+40'102*0,1+,70'027'16,*':
2$67!,
!$7 - ,!--- ^A@ ++"
!"#$%"&' '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''#89':'!0';<677030,7'=-2./0/5
9]
!+';6<*0'10';<677030,7'+/M30,70'E'302/<0'./0'4+'=-70220'$'+/M30,70'26/2'4D+*7-6,'1/
B6-12' 1-3-,/)' 10' 4+' B6/22)0' 1D89:;.<=!*C' !D+**)4)<+7-6,' 1-3-,/0' 16,*
B<6M<022-=030,7' B6/<' ;-,+4030,7' 2D+,,/40<C' I,' +770-,7' +46<2' /,0' =-70220' 4-3-70' $516,,)0'B+<':
672$ -5 A@^ --,! +"
*D027%E%1-<0'*63B70'70,/'10' &` &27 ," ':
62
$ -5 A@]
T T
--!
+"
?0770' ;6<3/40',D027'+BB4-*+J40'./0'2-' 4+'=-70220' 4-3-70',D027'B+2' 7<6B'M<+,10F'*D027%E%
1-<0'2-'40'36/=030,7'*6<<02B6,1'J-0,'E'/,'<)M-30'4+3-,+-<0C'"-'0440'027'7<6B';6<70'40
<)M-30' 10=-0,7' 6:7O:F@56' @102' 7/<J/40,*02' 26/2' ;6<30' 10' 76/<J-446,2' 20' ;6<30,710<<-G<0'40'B+22+M0'10'4+'J-440A'07'4+';6<3/40'10'#,-3*4',D027'B4/2'+BB4-*+J40C
!0'<)M-30'4+3-,+-<0'B6/<'40./04'4+';6<3/40'10'#,-3*4(027')7+J4-0'027'*+<+*7)<-2)'B+<'/,
58BO7@$ 9@$ +",!%-.'/' 2*>( 7<G2' ;+-J40' @2*( ?( @AC' ?0' ,63J<0' 027' /,' ,63J<0' 2+,21-30,2-6,'./-'7<+1/-7'40'<+BB6<7'0,7<0';6<*02'1D-,0<7-0'07';6<*02'10'=-2*62-7)'@40'<)M-30
10=-0,7'1D+/7+,7'B4/2'4+3-,+-<0'./0'4+'=-2*62-7)'027'M<+,10F'07'1D+/7+,7'B4/2'7/<J/40,7
./0'402';6<*02'1D-,0<7-0'26,7'M<+,102AC'd+,2'40'*+2'10'4+'*H/70'1D/,0'2BHG<0F'6,'B0/7'40
1);-,-<'B+<':
!- A$
2* 5"
6O'A(g(B2'027'40'1-+3G7<0'10'4+'2BHG<0C
OK$&>>?<$9@$AF:?G@
N,'022+-'10';4/+M0'*6,2-270'E'2644-*-70<'/,'*6<B2'1);6<3+J40'B+<'102'0;;6<72'./0' 4D6,
3+-,7-0,7' *6,27+,72'1/<+,7' 4D05B)<-0,*0' 07' E' 6J20<=0<' 4+' 1);6<3+7-6,' ./-' 20' B<61/-7C
d+,2' 40' *+2' 1D/,' *6<B2' -1)+4030,7' )4+27-./0F' 4+' 1);6<3+7-6,' 027' -,27+,7+,)30,7' 07
0,7-G<030,7' B<61/-70' 46<2' 10' 4D+BB4-*+7-6,' 10' *02' ;6<*02' @0440' ,D)=64/0' B+2AC' W/
*6,7<+-<0F' 1+,2' 40' *+2' 10' *0<7+-,' *6<B2' =-2./0/5F' +B<G2' /,0' )=0,7/0440' <)B6,20
-,27+,7+,)0'46<2'10'4+'3-20'0,'*H+<M0F'4+'1);6<3+7-6,'+/M30,70'0,';6,*7-6,'1/'703B2C
c4'K'+')*6/4030,7'Q'6,'1-7'0,*6<0'./0'40'*6<B2'AF:@'6/'./D-4'K'+'AF:?G@C
?6,2-1)<6,2' /,' 704' 022+-' <)+4-2)' 0,' *-2+-44030,7' 2-3B40' 2/<
/,0'*6/*H0'=-2./0/20C'h676,2'$-'4D-,70,2-7)'10'4+'*6,7<+-,7010'*-2+-44030,7'3+-,70,/0'*6,27+,70C
!02'*6,7<+-,702'027'402'1);6<3+7-6,2'26,7'16,,)02'B+<
xy
%$../.0./.0.&o
%0/.$../.0.&o
111
2
3
444
5
6
"
[[[
[[
[[
-
-
$$
$ '''''''''
111
2
3
444
5
6
"
[[[
[[A@
[A@[
A@ ,
,
, C"
C"
##
#
I,' 0,' 1)1/-7' 1D+B<G2' 4+' 46-' 10'D*+,-)( 40' 7+/5' 10' 1);6<3+7-6,' 07F' B+<' -,7)M<+7-6,F
4D)=64/7-6,'10'4+'1);6<3+7-6,'+/'*6/<2'1/'703B2
!$
#T
-C" "! ''''''' ,, -
C" !$
#T
A@ "
?0440%*-' )=64/0' 16,*' *6,7-,/044030,7C' 86/<' *0' 361G40' 10' *63B6<7030,7' *0770
1);6<3+7-6,'*<6X7'4-,)+-<030,7'0,';6,*7-6,'1/'703B2C'I,'B+<40'10';4/+M0'4-,)+-<0C
R03+<./6,2' ./0' 2-' 40'3-4-0/' +' +/22-' /,0' *0<7+-,0' )4+27-*-7)' @3-4-0/'C<>;8=F?>6<D:@AF/,0' 1);6<3+7-6,' )4+27-./0' -,27+,7+,)0' B0/7' 2D+i6/70<' E' 4+' 1);6<3+7-6,' =-2./0/20
@361G40'1-7'10'EFC+*GGAC'?0770'1);6<3+7-6,')4+27-./0'027'B6/<'/,'*-2+-44030,7'2-3B40
H-C" TA[@ $# " '6O'H'027'40'361/40'10'*-2+-44030,7C'!+'1);6<3+7-6,'027'16,*'1+,2'*0
*+2
,H
, --C" !
$$#
TTA@ ("
$.C" #'C"
,
[
#6."..,
[
4-G1,.-)(IGF4,.J1*
4-G1,.-)($.4:-IGF4,.J1*
$7
$7.2 G
$7.8.!.
9
2I41G,F,(!K1)(*44F.(!*('G1F6*(*)(:.4F.GG*<*),(L-19(G*(<-!=G*(9;I-G-6.J1*(!*(EFC+*GGM(5F(9IL-)4*(N(1)*
:-),9F.),*( :-)4,F),*( O69FL;.J1*( !*( 6F1:;*P( <-),9*( 1)*( :9-.44F):*( :-),.)1*( !*( GF( !I'-9<F,.-)
O69FL;.J1*(!*(!9-.,*P(F1(:-194(!1(,*<L4M(0K*4,(G*(L;I)-<=)*(!*('G1F6*M
!"#$%"&' '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''#89':'!0';<677030,7'=-2./0/5
T[
;K$&>>?<$9@$7@F?E?6<85
N,' 022+-' 10' <04+5+7-6,' *6,2-270' E' -3B620<' /,0' 1);6<3+7-6,' ./0' 4D6,' 3+-,7-0,7
*6,27+,70' 1/<+,7' 4D05B)<-0,*0' 07' E' 6J20<=0<' 4+' <)B6,20' 0,' *6,7<+-,70' @*D027' E' 1-<0' 4+
<)+*7-6,'./D6BB620'40'*6<B2'+/'*6/<2'1/'703B2AC'"-'40'*6<B2'027'-1)+4030,7')4+27-./0F'-4
<)2-270' E' *0770' 1);6<3+7-6,' 10' ;+e6,' -,27+,7+,)0' 0,' 1)=046BB+,7' 102' *6,7<+-,702' ./-
<0270,7'*6,27+,702'1/<+,7'76/7'4D022+-'7+,7'./0'4+'1);6<3+7-6,'027'3+-,70,/0':'4D),0<M-0
1)=046BB)0' 1/<+,7' 4+' 1);6<3+7-6,' <0270' 1-2B6,-J40' +22/<+,7' 4+' <)=0<2-J-4-7)' 10' 4+
7<+,2;6<3+7-6,'2-'4+'1);6<3+7-6,'-3B62)0'027'2/BB<-3)0C'W/'*6,7<+-<0F'2-'40'*6<B2F'76/7
0,')7+,7')4+27-./0F'+'/,0'*0<7+-,0'=-2*62-7)'*0770'),0<M-0'027'B<6M<022-=030,7'1-22-B)0C
!+'1);6<3+7-6,')7+,7'-3B62)0'*6,27+,70F'*0770'1-22-B+7-6,'20'7<+1/-7'B+<'/,0'*H/70'102
*6,7<+-,702'1+,2'40'3-4-0/C'I,'B+<40'10'<04j*H030,7'102'*6,7<+-,702'6/'10'7@F?E?6<85$Q0,'*6,2)./0,*0'4+'7<+,2;6<3+7-6,',0'B0/7'L7<0'<)=0<2-J40C
"-'4D6,'*6,2-1G<0'E',6/=0+/'40'*+2'1/'*-2+-44030,7'2-3B40'1D/,0'*6/*H0'=-2*6)4+27-./0
@=-2*6)4+27-*-7)'10'EFC+*GGAF'6O'*0770';6-2%*-'*D027'4+'1);6<3+7-6,'./-'<0270'*6,27+,70
111
2
3
444
5
6
"
[[[
[[
[[
-
-
##
# '''''''
111
2
3
444
5
6
"
[[[
[[A@
[A@[
A@ ,
,
, C"
C"
$$
$
!+' 1);6<3+7-6,' 027' 4+' 26330' 1D/,0' 1);6<3+7-6,' 1D6<-M-,0' )4+27-./0' 07' 1D/,0
1);6<3+7-6,'1D6<-M-,0'=-2./0/20':' visqueuseelastiqueo ### ("
!+'*63B62+,70')4+27-./0'027'16,,)0'B+<
H
C"
*GF4,.J1*T
$# "
!0'7+/5'10'4+'1);6<3+7-6,'=-2./0/20'027'16,,)0'B+<'4+'46-'10'D*+,-)
!
$#
T
C"
$.4J1*14* "!
I,'0,'1)1/-7'16,*F'B/-2./0' 0"o#! F'4D)./+7-6,'1-;;)<0,7-0440'=)<-;-)0'B+<'4+'*6,7<+-,70
10'*-2+-44030,7':
[A@A@ "( ,H
, C"C" $!
$!
+=0*'*6330'*6,1-7-6,'-,-7-+40' -C" H#$ TA[@ " '@<)B6,20')4+27-./0'-,27+,7+,)0AC
!D)=64/7-6,'703B6<0440'10'4+'*6,7<+-,70'027'16,*'16,,)0'B+<
,H
-C" *H, !#$+
" TA@
!+'*6,7<+-,70'20'<04j*H0'16,*'10';+e6,'05B6,0,7-0440C
!0' 703B2' ,9(g(!'S'H' +/' J6/7' 1/./04' 4+' *6,7<+-,70' -,-7-+40' TH#Q' 027' 1-=-2)' B+<' *@9'TC>9VTVA'027'+BB04)'6@BH>$9@$7@F?E?6<85$9@$012#"--C'!0'3-4-0/'20<+'1D+/7+,7'B4/2;4/-10'./0'40'703B2'10'<04+5+7-6,'027';+-J40C
$.C"#'C"
#6
,
[
$7."........#6
,
[
4-G1,.-)(IGF4,.J1*
4-G1,.-)($.4:-IGF4,.J1*
,9
$7*
2G
2I41G,F,(!K1)(*44F.(!*(9*GFCF,.-)(*)(:.4F.GG*<*),(L-19(G*(<-!=G*(9;I-G-6.J1*(!*(EFC+*GGM(5F(9IL-)4*(N
1)*(!I'-9<F,.-)(:-)4,F),*(O69FL;.J1*(!*(6F1:;*P(<-),9*(1)*(!I:9-.44F):*(*CL-)*),.*GG*(!*(GF(:-),9F.),*
O69FL;.J1*(!*(!9-.,*P(F1(:-194(!1(,*<L4M(0K*4,(G*(L;I)-<=)*(!*(9*GFCF,.-)M
"2(!-&$&1"4(-*&+!2%&$P$!(2,2-%$Q$'2-(&
?K! ,<>;8><BN67@$R$;M:6@$9@$O<FF@!
!I,' 1-2B620' 10' J-4402' 10' =0<<0' 10' 3+220' =64/3-./0' T_[['bMC3%&' +K+,7' 1-;;)<0,72
1-+3G7<02C'?02' 1-+3G7<02' 26,7' B<6*H02' <02B0*7-=030,7' 10' T'33F' &'33F' `'33' 07' ^
33C'?02'J-4402',0'26,7'B+2'B+<;+-7030,7'2BH)<-./02C
%! (02/<0<' +/' B<)+4+J40' 40' 1-+3G7<0' 10' *H+./0' 467' 10' 1-;;)<0,72' *+4-J<02F' E' 4D+-10
1D/,'B+430<F'0,'<)B)7+,7'B4/2-0/<2';6-2' 4D6B)<+7-6,'10';+e6,'E'0,*+1<0<' 4+'=+40/<
1/'1-+3G7<0'10'4+'2BHG<0'2/BB62)0'B+<;+-70C
%! k+-<0' 0,2/-70' 763J0<' 2/**022-=030,7' *02' J-4402' 1+,2' /,' 7/J0' *6,70,+,7' 10' 4+
M4K*)<-,0'4)MG<030,7'*646<)0C
%! I,' +770,1<+' +B<G2' +=6-<' 4j*H)' 4+' J-440' ./0' *0440%*-' +770-M,0' 2+' =-70220' 4-3-70'Q
1)70<3-,0<' 0,2/-70' *0770' =-70220' 4-3-70' 10' *H/70' $5( 0,' 302/<+,7' E' 4D+-10' 1D/,
*H<6,63G7<0' 40' 703B2' 3-2' B+<' 4+' J-440' B6/<' B+<*6/<-<' /,0' 1-27+,*0' ./0' 4D6,
*H6-2-<+'10'26<70'./0'*0770'=-70220'26-7'*6,,/0'+=0*'/,0'J6,,0'B<)*-2-6,C
!I,'=0-440<+'E'4j*H0<'4+'J-440'10'26<70'./0'26,'B+<*6/<2'20';+220'46-,'102'B+<6-2'1/'7/J0
10';+e6,'E')=-70<'402'0;;072'10'J6<1C'I,'16,,0'4+'10,2-7)'10'4+'M4K*)<-,0':'9T^['bMC3%&C
I,'B<0,1<+'6'g']CV9'3C2%TC
!
!"#$%"&' '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''#89':'!0';<677030,7'=-2./0/5
T9
+! #<+*0<'$5' 0,' ;6,*7-6,'1/'*+<<)'1/' <+K6,'10' 4+'J-440C'W'B+<7-<'10'./0440'=+40/<'1/<+K6,'9'4+'46-'10'"76b02',0'=6/2'B+<+X7%0440'B4/2'+BB4-*+J40'l
+! d)1/-<0' 102' 302/<02' 4+' =+40/<' 10' 4+' =-2*62-7)'!' 10' 4+' M4K*)<-,0C' ?+4*/40<' B6/<*H+./0'302/<0'40',63J<0'10'2*")-G!4'*6<<02B6,1+,7C
+! d)70<3-,0<'4D-,*0<7-7/10'2/<'4+'=+40/<'10'!C!I,'1-2B620'10'4+'*6/<J0'10'=+<-+7-6,'10'!'0,';6,*7-6,'10'4+'703B)<+7/<0'/F'+-,2-'./01D/,' 7H0<363G7<0C' $,' *63B+<+,7' 402' <)2/47+72' 6J70,/2' E' 4+' =+40/<' -,1-./)0' 2/<' 4+
*6/<J0F'./0'1)1/-20U%=6/2'10'4+'B<)*-2-6,'10'4+'3)7H610'/7-4-2)0'l
!
!
OK! &>>?<$9@$AF:?G@$@6$9@$7@F?E?6<85
!0' 1-2B62-7-;' 05B)<-30,7+4F' <0B<)20,7)' *-%10226/2F' *6,2-270' 0,' /,' B+<+44)4)B-BG10' 10
2-4-*6,0'1)B62)'2/<'/,'B4+,'H6<-U6,7+4'07'16,7'4+';+*0'2/B)<-0/<0'027'26/3-20'E'4D+*7-6,
1D/,0';6<*0'H6<-U6,7+40'*6,27+,70C'!+'2-4-*6,0'+1HG<0'B+<;+-7030,7'+/'B4+,'H6<-U6,7+4
07'4+'7<+,23-22-6,'10'4+';6<*0'027'<)+4-2)0'+/'36K0,'1D/,0'B4+./0'<-M-10'+1H)<0,70'E'4+
2/<;+*0'1/'J46*'10'2-4-*6,0C'c4'2D+M-7'+46<2'10'302/<0<'40'1)B4+*030,7'H6<-U6,7+4'1CO,P
102'B6-,72'10'*0770';+*0'+/'*6/<2'1/'703B2C
H
ux Psilicone
jauge de force (sur roulements)
x
y
z
"-' 4D6,' 2/BB620' ./0' 4+' 1);6<3+7-6,' 027' H636MG,0' @*0' ./-' ,D027' B+2' =<+-A' 07' ./0' 40
1)B4+*030,7'=0<7-*+4'1"'027';+-J40'07'-10,7-./0'B6/<'76/2'402'B6-,72'1D/,0'3L30'*m70F'4+
*63B62+,70'#C"@,A'10' 4+(1);6<3+7-6,'+/'J6/7'1D/,' 703B2',' +B<G2'/,' -,27+,7'B<-2'B6/<<);)<0,*0'B0/7'L7<0'+BB<6*H)0'B+<
R
1
C
1
"
1, C"C
C"T
9
T
9A@ 9:
:;
<==>
?
@
@(
@
@"#
6O'R'027'4+'H+/70/<'1/'J46*'10'2-4-*6,0'16,7'6,',)M4-M0'4+'=+<-+7-6,C
!+' *6,7<+-,70' 10' *-2+-44030,7' 7<+,23-20' B+<' 4D-,70<3)1-+-<0' 1/' B6-12' S' E' 4+' ;+*0
2/B)<-0/<0'1D+-<0'#'2/BB62)0'*6,27+,70')7+,7'+BB<6*H)0'B+<
#
S- 9$
6,'1)1/-7'10
,, -C" !
$#
TA@ "
40'1)B4+*030,7'10'4+';+*0'2/B)<-0/<0
,#
RS,1C !"A@
#<+=+-4' E' ;+-<0':' !I,*9<.)*9( GF( $.4:-4.,I( !*4( !*1C( ,"L*4( !*( 4.G.:-)*( O9-4*( *,
,9F)4LF9*),*P(*,(G*(<-!1G*(!*(:.4F.GG*<*),
I,'B<6*)10<+'*6330'2/-7':
%! 84+*0<'4+'B4+./0'<-M-10'2/<'40'36/40'<03B4-'10'2-4-*6,0'07'4+-220<'./04./02'3-,/702
B6/<' +22/<0<' /,0' J6,,0' +1H)<0,*0C' d)36/40<' B/-2' <076/<,0<' 4D0,203J40' 2/<' 40
B4+,'10' 7<+=+-4C'W770,1<0' E' ,6/=0+/' ./D-4' K' +-7' +1H)<0,*0' 0,7<0' 4+' 2-4-*6,0' 07' 40
B4+,'10'7<+=+-4C
%! "/2B0,1<0'40'B6-12'@B<0,1<0'/,0'3+220'10'_[['M'B+<'0503B40AC'!-<0'4+'=+40/<'10'4+
;6<*0'367<-*0'2/<'4+'i+/M0'@./-',D027'B+2'05+*7030,7'40'B6-12'10'4+'3+220'E'*+/20
102';<677030,72'2/<'4+'B6/4-0'07'2/<'402'<6/4030,72'1/'*H+<-67'B6<7+,7'4+'i+/M0AC
%! W770,1<0' ./04./02' 3-,/702' ./D/,' 36/=030,7' B0<3+,0,7' 2D)7+J4-220' +=+,7' 10
3077<0'40'*H<6,63G7<0'0,'3+<*H0C
%! R040=0<'E'-,27+,7'<)M/4-0<'4+'B62-7-6,'1D/,'B6-,7'10'4+';+*0'2/B)<-0/<0'@/7-4-20<'/,0
;0/-440'10'B+B-0<'3-44-3)7<)0'*644)0'2/<'40'B4+,'10'7<+=+-4AC
%! W=+,7'10'*H+,M0<'10'2-4-*6,0F')7/1-0<'4+'<04+5+7-6,'102'*6,7<+-,702'0,'3+-,70,+,7
;-50'4+'i+/M0'10';6<*0'@10';+e6,'E'2/BB<-30<'4D+*7-6,'1/'B6-12'SAC'84+*0<'B6/<'*04+
/,' 6Ji07' 2/;;-2+330,7' 46/<1' 10<<-G<0' 40' *H+<-67' 2/BB6<7+,7' 4+' i+/M0C' R040=0<' E
-,27+,7'<)M/4-0<'4+'=+40/<'10'4+';6<*0'-,1-./)0'B+<'4+'i+/M0C
%! R0B6<70<' =62' 302/<02' 1/' 1)B4+*030,7' 2/<' /,' M<+BH-./0' 0,' ;6,*7-6,' 1/' 703B2
@*6/<J0'10';4/+M0AC'#<+*0<'4+'30-440/<0'1<6-70'07'0,'*+4*/40<'4+'B0,70C'$,'1)1/-<0'40
*60;;-*-0,7'10'=-2*62-7)C
%! R0B6<70<'=62'302/<02'10';6<*0'2/<'/,'M<+BH-./0'0,';6,*7-6,'1/'703B2'@*6/<J0'10
<04+5+7-6,AC' $,' 1)1/-<0' 40' 703B2' 10' <04+5+7-6,F' B/-2' 40' 361/40' 10' *-2+-44030,7
)4+27-./0'@HAC
!"#$%"&' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''''#89':'!0';<677030,7'20*
22
!"#$%&$'()!!&*&+!$,&-
".(!/&$!01)(/23&
/456789:5;74
=6,2-1)<6,2' /,' 3-4-0/' *6,7-,/' >/,' ;4/-10' 6/' /,' 264-10?' 07' -2646,2' 10/5' @6<7-6,2
)4)30,7+-<02'A6-2-,02B
"-' *02' 10/5' @6<7-6,2' 26,7' 0,' *6,7+*7' 07' 0,' 36/A030,7' <04+7-;' 4C/,0' @+<' <+@@6<7' D
4C+/7<0E' 102' ;6<*02' 2C6@@62+,7' D' *0' 36/A030,7' @<0,,0,7' ,+-22+,*0' D' 40/<' ;<6,7-F<0
*633/,0B'=02';6<*02'10'6<=;=5>4:?'26,7'+@@04)02';6<*02'10'@6755?A?45'07'40/<'7<+A+-4027'1-22-@)'26/2';6<30'10'*G+40/<B
=02';6<*02'2C6@@62+,7'+/'36/A030,7'26,7'16,*'7+,H0,702'D'4+'2/<;+*0'10'*6,7+*7'102
10/5'@6<7-6,2E'*6,7<+-<030,7'+/5'<)+*7-6,2'1C+@@/-2'1C/,0'@6<7-6,'2/<'4C+/7<0'./-'26,7
76/I6/<2',6<3+402'D'4+'2/<;+*0'./-'402'2)@+<0B
!+' 26330' A0*76<-0440E' 0,' /,' @6-,7' 16,,)' 10' 4+' 2/<;+*0' 10' *6,7+*7E' 10' 4+' @76:?5>4B?45;?CC?'07'10'4+'@76:?$476A>C?'027'4+'6<>:5;74$8?$:745>:5B
!
"
#
#$$%&
'
(
')
*+
!
"
J-H/<0' K$,$ '-./0123$ 3245.67$ 89:.;;<1=> )'!
?$ 0.3@73017667$ 897$ *420075730>$ *(!
70
020.67$ '!
$9<$/24;=$"$=<4$67$/24;=$!$.<$;2130$+$97$6.$=<4*./7$97$'/230./0
L,' @+<40' 10' @6755?A?45$ =?:' 2-' 4+' ;6<*0' 10' ;<677030,7' ,0' 1)@0,1' ./0' 10' 4+' <)+*7-6,,6<3+40B'L,'@+<40<+'10'@6755?A?45$D;=E9?9F$2-'0440'1)@0,1'10'4+'A-70220'<04+7-A0BM+,2'40'*+2'1C/,';<677030,7'20*E'402';6<*02'10';<677030,7'@0/A0,7'05-270<'3N30'2-'402
10/5'@6<7-6,2'26,7' -336O-402B'=C027' 40'*+2' 46<2./C/,0';6<*0'057)<-0/<0' 70,1'D'3077<0
0,' 36/A030,7' 4C/,0' 102' @6<7-6,2' @+<' <+@@6<7' D' 4C+/7<0B' "-' 0440' ,0' 1)@+220' @+2' /,
*0<7+-,'=?9;CE'*0770';6<*0'027')./-4-O<)0'@+<'4+';6<*0'10';<677030,7B'P-,2-'40';<677030,7
20<7' 1+,2' *0' *+2' D' +22/<0<' 4C>8G<6?4:?' >%$/230./0$ =.3=$ @61==75730?' 0,7<0' 402' 10/5@+<7-02'>7<F2'/7-40'@6/<'3+<*G0<E'@+<'0503@40?B
!0' O/7' 10' *0' #8' 027' 10' 3077<0' 0,' )A-10,*0' *0' 7Q@0' 10' ;<677030,7' +/' 7<+A0<2
1C05@)<-0,*02'7<F2'2-3@402B'L,'1)70<3-,0<+'402'*+<+*7)<-27-./02'10'*0';<677030,7'1+,2
40' *+2' 1/' *6,7+*7' 0,7<0' 10/5' *6<@2' -,1);6<3+O402' @/-2' 1+,2' 40' *+2' 1C/,' 3-4-0/
H<+,/4+-<0B
(>HH?C$=96$C?$'6755?A?45$=?:$?456?$8?9F$=7C;8?=
A-23.49$97$B13/1$>@/-2'CD.467=$!523023'10/5'2-F*402'@4/2'7+<1?'6O20<A+'./0'4+';6<*0
10';<677030,7'./-'2C6@@620'+/'36/A030,7'1C/,'O46*'264-10'2/<'/,0'2/<;+*0'<-H-10'027
@<6@6<7-6,,0440'+/'@6-12'1/'O46*'07'027'-,1)@0,1+,70'10'4C+-<0'10'4+'2/<;+*0'10'*6,7+*7
0,7<0'*0'O46*'07'4+'2/<;+*0B
=0770'10<,-F<0'*6,27+7+7-6,'027'05@4-./)0'@+<'40';+-7'./0'4+'2/<;+*0'10'76/7'264-10',C027
I+3+-2' 4-220' 3+-2' @622F10' 102' +2@)<-7)2' ./-' 4+' <0,10,7' </H/0/20B' !0' *6,7+*7' 0,7<0
264-102' ,C05-270' 16,*' ./C+/' ,-A0+/' 10' *02' +2@)<-7)2' 07' 4C+-<0' 10' 4+' 2/<;+*0' <)0440' 10
*6,7+*7'027'16,*'@4/2'@07-70'./0'4+'2/<;+*0'+@@+<0,70B
EE
8.>
8F>
J-H/<0'9':'=<4*./7$97$/230./0$4-7667
(+-2'*6330'*02'+2@)<-7)2'20'1);6<30,7'0,';6,*7-6,'10'4+'*G+<H0'>-*-'40'@6-12'1/'O46*?E
4+' 2/<;+*0' 10' *6,7+*7' <)0440' +/H30,70' +A0*' 4+' *G+<H0B'P-,2-E' ./0' 4C6,' @4+*0' 40' O46*
*6330'0,'8.>'6/'*6330'0,'8F>' 4C+-<0'10'4+'2/<;+*0'10'*6,7+*7'<)0440'027' 4+'3N30'>D
*6,1-7-6,'O-0,'2R<'./0' 402' ;+*02'1/'O46*'26-0,7'10'3N30',+7/<0E'*%D%1'./C04402'+-0,7
27+7-27-./030,7' 40' 3N30' ,63O<0' 1C+2@)<-7)2' @+<' /,-7)' 10' 2/<;+*0?E' @/-2./C0,' >F?
*G+./0'+2@)<-7)'2/@@6<70'/,0'*G+<H0'@4/2'H<+,10E'16,*'20'1);6<30'@4/2B
%7;$8?$!"#$"%&
!+'46-'10'C2<625F'7<+1/-7'402'6O20<A+7-6,2'@<)*)10,702':
!"#$%"&' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''''#89':'!0';<677030,7'20*
23
!! 46<2./C-4'Q'+'36/A030,7'<04+7-;'>H4-22030,7?'4+';6<*0'10';<677030,7 *(!
027'*6,,/0':
0440'027'@<6@6<7-6,,0440'D'4+'<)+*7-6,',6<3+40 )'!
07'027'1-<-H)0'0,'20,2'-,A0<20'10'4+
A-70220':
!2-''#
#'(# )9*
!
!!
!
"!#$ '+46<2S
!40' *60;;-*-0,7' 10' @<6@6<7-6,,+4-7)' "9' 2C+@@0440' 40' :7?@@;:;?45$ 8?$ @6755?A?458I4>A;E9?'>6/'*-,)3+7-./0?!
!! 46<2./C-4',CQ'+'@+2'10'H4-22030,7E'4+';6<*0'10';<677030,7'027'-,*6,,/0'>0440',0'@0/7N7<0'1)70<3-,)0'./C0,')*<-A+,7'4C)./-4-O<0?B'!+'46-'10'C2<625F',C0,'16,,0'./C/,0
O6<,0'2/@)<-0/<0':
! )=* '(!!
"%
!
!40' *60;;-*-0,7' "=' 2C+@@0440' 40' :7?@@;:;?45$ 8?$ @6755?A?45$ =5>5;E9?B' =0770' A+40/<3+5-3+40' ,C027' +770-,70' ./CD' 4+' </@7/<0' 10' 4C)./-4-O<0B' $,' @-207/D317E' *0770
A+40/<E )= '!
" E' 027' 26/A0,7',633)0'T'67$ *420075730$52F161=.F67'UE' 7+,1-2'./0' 4+
A+40/<''+*7/0440'1/';<677030,7E' *(!
E'027'./+4-;-)0'10'T'*420075730$52F161=-'UB
!
!=0770'A+40/<'3+5-3+40'10'4+';6<*0'10';<677030,7'<0@<)20,70'16,*'40'20/-4'./C-4';+/7
1)@+220<'@6/<'./0'40'36/A030,7'@/-220'2C-,-7-0<'>@0,20V'D'/,0'+<36-<0'./0'A6/2
022+Q0V'10'@6/220<?B
!
!
!
!-6;5J6?$8?$'"()*!"#$"%&!
!+' 46-' 10'C2<625F' 027' ,6,' 20/4030,7' +@@4-*+O40' +/5' +2203O4+H02' 10' *6<@2' 264-102
3+-2' +/22-' +/5' 3-4-0/5' *6,7-,/2B' M+,2' *0' 10<,-0<' *+2E' *0' 26,7' 402' *6,7+*72' 0,7<0
T'@+<7-*/402'U'1/'3-4-0/'>364)*/402E'*<-27+/5E'H<+-,2E'07*?'07'40/<'36/A030,7'./-'*<)0
40';<677030,7'>;6<*0'./-'*6,7<-O/0'0,'@+<7-0'D'4+'<)2-27+,*0'1/'3-4-0/?B'W4';+/7'*0@0,1+,7
70,-<'*63@70'102';6<*02'10'*6G)2-6,'./-'4-0,7'402'@+<7-*/402'0,7<0'04402'>*02';6<*02'26,7
;+-O402'A6-<0',/4402'@6/<'402'3+7)<-+/5'@/4A)</40,72'7042'./0'402'2+O402'20*2?B'X+30,)'D
4C/,-7)' 10' 2/<;+*0' 10' *6,7+*7' 0,7<0' @+<7-*/402' 3+7)<-04402E' 40' *<-7F<0' 10' C2<625F
2C05@<-30'@+<'>&3'@62-7-A0'0,'*63@<022-6,?
3=G &"& %
6Y'&G' '027' 4+'*6,7<+-,70' 7+,H0,7-0440'07'&3'027' 4+'*6,7<+-,70',6<3+40B'"=&3' 027'16,*' 4020/-4' 10' </@7/<0' 07' 10' 4+' 3N30' ;+Z6,' ./0' @<)*)10330,7E' 402' @+<7-*/402' 1/' 3-4-0/
@0/A0,7'H4-220<'402'/,02'2/<'402'+/7<02'./0'46<2./0'4C)H+4-7)'+'4-0/E'*C027'D'1-<0'46<2./0
4+' *6,7<+-,70' 7+,H0,7-0440' +' +770-,7' *0' 20/-4B' "-' 40' 3-4-0/' 027':7G<=;@E' -4' ;+/7' 10' @4/2A+-,*<0' 402' ;6<*02' 10' *6G)2-6,' 0,7<0' @+<7-*/402B' !0' *<-7F<0' 10' </@7/<0' @<0,1' +46<2' 4+
;6<30'2/-A+,70E'*6,,/0'26/2'40',63'10'*<-7F<0'10''"()*!"#$"%&':
/3=G '% &"&
6Y'/$('&$027'4+'*6G)2-6,BM+,2'40'@4+,'10'H2D4$8&3E'[&G$[?E'*0'*<-7F<0'4-3-70'4C)70,1/0'102'*0<*402'10'H2D4'D'/,0V6,0'*63@<-20'0,7<0'4C+50'I&3'07'4+'1<6-70'1C)./+7-6,' /3=G '# &"& B
&
)*&***)
n
c
+
)*&***)*#*"
*&***'c
n
& &13
T
T
&2
J-H/<0'&':'/410J47$97$H2D4KC2<625F
! ':&3';2=101#7$73''''''$/25;47==123
!C+,H40'+'\'+7+,>"=?'027'+@@04)'+,H40'10';<677030,7'-,70<,0B!6<2'10'4+'</@7/<0E'40'H<+,1'*0<*40'7+,H0,70'*0770'1<6-70'*0'./-'1);-,-7'4C6<-0,7+7-6,'1/
@4+,'10'</@7/<0'@+<'<+@@6<7'D'4C+50'10'4+'*6,7<+-,70'3+I0/<0'&K
&
)*&***)
n
c
+
)*&***)*#*"
*&***'c
n
& &13
T
T
,-
n
1
3
-*#*.*/*0*'*+*/*,
(P)
A
J-H/<0' ]':' 67$ ;2130$ !$ 9-*1310$ <3$ -0.0$ 97$ /2304.1307$ /2447=;239.30$ L$ <37$ 4<;0<47
;2073017667$=<4$67$;6.3$8E>
!"#$%"&' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''''#89':'!0';<677030,7'20*
24
*?=96?$8?=$:7?@@;:;?45=$8?$@6755?A?45
+?'!302/<0'1/'*60;;-*-0,7'10';<677030,7'27+7-./0
!
!$,'@62+,7'/,'*6<@2'2/<'/,'@4+,'-,*4-,)'16,7'4C+,H40'@0/7'N7<0'361-;-)E'6,'6O7-0,7'4+
A+40/<'1/'*60;;-*-0,7'10';<677030,7'27+7-./0'0,7<0'40'*6<@2'07'40'@4+,'@+<'4+'<04+7-6,':
"=' \' 7+,>1=?' 6Y' 1=' 027' 4C-,*4-,+-26,' 1/' @4+,' +/' 3630,7' 6Y' 40' *6<@2' @0<1' 26,)./-4-O<0'>-4'2/;;-7'1C)*<-<0'4C)./-4-O<0'1/'*6<@2'+22-3-4)'D'/,'@6-,7'3+7)<-04'07'10'20
@4+*0<'D'4C)./-4-O<0'4-3-70E'*C027%D%1-<0'D'4C-,27+,7'6Y'4+';6<*0'10';<677030,7'+770-,7
26,'3+5-3/3?
!
O?'!302/<0'1/'*60;;-*-0,7'10';<677030,7'1Q,+3-./0
86/<' 302/<0<' "9' 6,' @0/7' 7-<0<' D' A-70220' *6,27+,70' 40' *6<@2' 1-2@62)' 2/<' /,' @4+,G6<-V6,7+4B' P' 4C+-10' 1C/,' 1Q,+363F7<0' 6,' 302/<0' 4+' ;6<*0' ,)*022+-<0' @6/<
@<61/-<0' 40'36/A030,7E'6,'+'16,*'/,0'302/<0'1-<0*70'1/'361/40'10' 4+' ;6<*0'10
;<677030,7B' $,' ;+-2+,7' 40' ./67-0,7' 10' *0770' 302/<0' @+<' 40' 361/40' 10' 4+' <)+*7-6,
,6<3+40'>-*-'40'@6-12'1/'*6<@2?'6,'6O7-0,7'40'*60;;-*-0,7'10';<677030,7'1Q,+3-./0
"9B
^676,2'0,;-,'./0'*02'*60;;-*-0,72'10';<677030,7'1)@0,10,7'10'O0+/*6/@'10'@+<+3F7<02
1C6<-H-,0'1-A0<20':' 10H<)'10' </H62-7)' 102' 2/<;+*02' 0,' *6,7+*7E' @<)20,*0'1C/,' ;-43'10
;4/-10' >@<022-6,' 07' A-2*62-7)' 10' *0' ;4/-10?E' ' 703@)<+7/<0E' 07*B' !0/<' 302/<0' 027' 16,*
1)4-*+70'07'402'A+40/<2'6O70,/02'26/A0,7'-,*0<7+-,02B
=-%10226/2' 102' A+40/<2' +@@<65-3+7-A02' 10' *02' *60;;-*-0,72' 10' ;<677030,7' @6/<
./04./02'*6<@2'0,'*6,7+*7B
"9 " =P*-0<'2/<'+*-0<E'1/<E'20*
P*-0<'2/<'+*-0<E'1/<E'H<+2
_6-2'2/<'O6-2E'20*
"4?9$=96$6795?$=J:G?"4?9$=96$6795?$A79;CC<?
SB]9
SBS`
SB&S
KLMKKLNK
SBab
SBKS
SB`S
KLOKKLNP
^670<' ./0' 40' *60;;-*-0,7' 10' ;<677030,7' 1Q,+3-./0' 027' 76/I6/<2' @4/2' @07-7' ./0' 40
*60;;-*-0,7'10';<677030,7'27+7-./0B
*?'!302/<0'10'4C+,H40'10';<677030,7'-,70<,0'1C/,'3-4-0/'H<+,/4+-<0
86/<' 302/<0<' 4C+,H40' 10' ;<677030,7' 1C/,' 3-4-0/' @0/' *6G)2-;' 6,' @0/7' /7-4-20<' 40
1-2@62-7-;'2*G)3+7-./030,7'<0@<)20,7)'*-%10226/2
J-H/<0' `':'91=;2=101*$ 7M;-415730.6$ ;745700.30$ 97$57=<474$ 6:.3@67$ 97$ *420075730
1307437$9:<3$=.F67
!+'I+/H0'10';6<*0'@0<307'10'302/<0<'4+';6<*0',)*022+-<0'@6/<'-,-7-0<'40'H4-22030,7
10' 4+' O6-70B' =6,,+-22+,7' *0770' ;6<*0' -4' 027' @622-O40' 1C0,' 1)1/-<0' 4+' A+40/<
+@@<65-3+7-A0'10'4C+,H40'10';<677030,7'-,70<,0'1/'2+O40B'$,'0;;07E'*6,2-1)<6,2'/,
@07-7')4)30,7'10'2+O40'10'G+/70/<',)H4-H0+O40'2-7/)'D'4+'O+20'1/'*Q4-,1<0'10'2+O40'07
2/@@626,2'./0'402';6<*02'2C050<Z+,7'2/<'*0770'O+20'>1C+-<0'N>$O$26-0,7'/,-;6<3)30,7
<)@+<7-02B
!6<2./0'+/*/,0';6<*0',C027'+@@4-./)0'+/'36Q0,'10'4+';-*0440'>('\'S?E'*0770')4)30,7
10' 2+O40' 027' 26/3-2' >A6-<' ;-H/<0' *-%10226/2?' D' /,0' *6,7<+-,70' A0<7-*+40'&PP$\%EQN*63@<022-A0'1/0'+/'@6-12'E'1/'*Q4-,1<0'10'2+O40'07'D'102'*6,7<+-,702'G6<-V6,7+402
&MM''\'&OO'*63@<022-A02'7<+,23-202'@+<'402'@+<6-2'<-H-102'10'4+'O6-70B!6<2./C/,0' ;6<*0' G6<-V6,7+40' (' 027' +@@4-./)0' +/' 36Q0,' 10' 4+' ;-*0440E' 16,7' 4+
1-<0*7-6,' 027' *0440' 10' 4C+50' IM' @+<' 0503@40E' 4C)4)30,7' 10' 2+O40E' <070,/' @+<
;<677030,7E'027'*-2+-44)'@+<'/,0'*6,7<+-,70'10'*-2+-44030,7'&MP'\'(QNB
J-H/<0'c':'9-0.16$97$6:-0.0$97$/2304.1307$L$6.$F.=7$97$6.$F2107
!"#$%"&' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''''#89':'!0';<677030,7'20*
25
!C)7+7'10'*6,7<+-,70')7+,7' 4+' 2/@0<@62-7-6,'10'*02'10/5')7+72E' 4+'3+7<-*0'1/' 70,20/<
102'*6,7<+-,702'1+,2'40'2Q27F30'1C+502'IMOP$027'16,*
222
3
4
555
6
7
!
#
NEN(
N(
OO
MM
dSd
SS
dS
&&
&
!0' *<-7F<0' 10'H2D4KC2<625F$ -,1-./0' ./0' 4+' *6,7<+-,70' 7+,H0,7-0440' 2/<' ,C-3@6<70
./04'@4+,'027'+/'3+5-3/3')H+40'D
/3=G '# &"&3+5
07'*0'3+5-3/3'027'+770-,7'2/<'*0<7+-,2'@4+,2'46<2./0'40'H4-22030,7'+'4-0/B
!0' H4-22030,7' 3+*<62*6@-./0' ;-,-22+,7' @+<' +A6-<' 4-0/' D' 4+' O+20' 1/' 2+O40' 6,' @0/7
*+4*/40<'4+'*6,7<+-,70',6<3+40'07'4+'*6,7<+-,70'7+,H0,7-0440'2/<'*0'@4+,'> P73!!
!# ?':
8 9N
(0
N
E30NEN(30 3G3 #!###:!!## 99
EBdESEdB &&&&!
!!
!!
!+'*6,7<+-,70'7+,H0,7-0440'3+5-3+40'027'16,*' /N
E
N
(= '# "3+5
6Y'(5.M$027'4+';6<*0'3+5-3+40'0,<0H-27<)0'@+<'4+'I+/H0B'"-'4+'*6G)2-6,'027',)H4-H0+O40
6,'+
E(= 3+5#"
".(!/&$&Q"1(/*&+!.%&$R$!(.S./%$T$'./(&
.U! *?=96?$89$:7?@@;:;?45$8?$@6755?A?45$?456?$=7C;8?=$6;B;8?=
L,'A+'1+,2'*0770'@+<7-0'1)70<3-,0<'402'A+40/<2'102'*60;;-*-0,72'10';<677030,7'27+7-./0
07' 1Q,+3-./0' @6/<' /,' 0,203O40' 10' 2/<;+*02' 1-;;)<0,702B' L,' A+' 10' @4/2' )7/1-0<
./04./02'*+<+*7)<-27-./02'1/'36/A030,7'2+**+1)'6O70,/'0,'7-<+,7'+220V'40,7030,7'2/<
/,'O46*'26/3-2'D'/,';<677030,7'264-10':'./+,1'4+';6<*0'10'@6/22)0'027'2/@)<-0/<0'D'4+
;6<*0'3+5-3+40'10';<677030,7E'40'O46*'H4-220'1e/,0'46,H/0/<'16,,)0E'07'-4'027',)*022+-<0
10'T'<0*G+<H0<'U'4+';6<*0'10'@6/22)0'+A+,7'10'<)6O70,-<'/,',6/A0+/'H4-22030,7'>*e027
7<F2'@<)*-2)30,7' 40'3)*+,-230'*6,1/-2+,7'+/'1)*40,*G030,7E' <)@)7)' +/' *6/<2'1e/,' %
46,H%'*Q*40'10'703@2E'1e/,'7<03O4030,7'10'70<<0?B
>U$-7?@@;:;?45$8?$@6755?A?45$=5>5;E9?$"+
L,'@0/7'1)70<3-,0<'2-3@4030,7'40'*60;;-*-0,7'10';<677030,7'27+7-./0'"='0,'*G0<*G+,7'4+;6<*0'(=$ ,)*022+-<0' @6/<' 3077<0' 4e6OI07' 0,' 36/A030,7B' =6330' 05@4-./)' @4/2' G+/7E
*0770' ;6<*0' 20/-4' 027' )H+40' D' "=' ;6-2' 4+' ;6<*0' +H-22+,7' 2/<' 4+' 2/<;+*0' 10' *6,7+*7E@0<@0,1-*/4+-<030,7' D' *0440%*-E' -*-' 40' @6-12'E$ %$ H@' 10' 4e6OI07' :' (=$ %$ "=H@B' "+,2*6,,+f7<0'4+'3+220'H'10'4e6OI07E'-4'027'@622-O40'10'1)70<3-,0<'"=$0,'027-3+,7'*6330,7(=$*<6-7'./+,1'6,';+-7'*<6f7<0'H'g'@6/<'/,'+**<6-22030,7'10'3+220';HE$(=$*<6f7'10';(=%$"=;H$@B'L,'A+'-*-'302/<0<'(=$'07'402'+**<6-22030,72';(=$'0,'/7-4-2+,7'102'<0226<72':@6/<'/,'<0226<7'10'*6,27+,70'10'<+-10/<'RE'4e+**<6-22030,7'10';6<*0';(='027')./-A+40,7'D/,'+446,H030,7'1/'<0226<7
HR
@
R
(M == ;
";; ##
=6,,+-22+,7'R'07'@E'07'1)70<3-,+,7'05@)<-30,7+4030,7'402'302/<02'10';M'07';(=E'6,'0,1)1/-7'"=B
J-H/<0'a':'91=;2=101*$<0161=-$;2<4$6.$57=<47$97$6.$*24/7$97$*420075730
!! M)70<3-,0<' 05@)<-30,7+4030,7' 4+' *6,27+,70' 10' <+-10/<'R' 102' <0226<72' K^E'9^'07
`^B
!! !+' @4+./0' -,;)<-0/<0' 027' ;-5)0' +/' 2/@@6<7' 0,' ;67M1@6.=B' L,' A+' *G0<*G0<' 402
+446,H030,72'3+5-3/3'M'102'O46*2'I/270'+A+,7'H4-22030,7E'*e027'D'1-<0'./e+I6/70<
D'M'/,'<+446,H030,7'7<F2';+-O40'@<6A6./0<+-7'40'H4-22030,7'1/'O46*B
!! 86/<'*G+*/,'102'7<6-2'7Q@02'10'2/<;+*02'>3)7+4E'O/A+<1E'4-FH0?:
>+?' 8<0,1<0' 40' <0226<7' K^B' M)70<3-,0<' 4e+446,H030,7' MS' 2+,2' 3+220' +I6/7)0
>;H$\'S?B' PI6/70<' ;H' >KSS'HE' 9SS'HE' BBBE' `SS'H?' +/' O46*' 07' 1)70<3-,0<4e+446,H030,7' M' *6<<02@6,1+,7B' "-' 6,' +<<-A0' 0,' O/7)0' 1/' <0226<7E' @+220<' +/
<0226<7' 2/@)<-0/<' >K^'<' 9^'<' `^?B' P' ,670<' ./e-4' 027' ,)*022+-<0' 10' <0%1)70<3-,0<'MS' >+446,H030,7'1/' <0226<7'@6/<';H$\'S?'D' *G+./0' *G+,H030,7'10<0226<7B
>O?' $,' 1)1/-<0E' @6/<' *G+./0' ;H$h$&E' 4e+**<6-22030,7' ;(=%$ (=K(=2' 10' ;6<*0' 10;<677030,7'3+5-3+4B'(=2'027'4+';6<*0'@6/<';H$%$SB'L,'+':
!"#$%"&' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''''#89':'!0';<677030,7'20*
26
H@MMR((( ==== ;"; #!#!# ?> SS
>*?' $27-30<' 4e-,*0<7-7/10'=(=' 2/<' ;(=' >^_:' *0770' -,*0<7-7/10' 1)@0,1' 1/' <0226<7' :=(=$%$R=ME'6Y'=M'027'4e0<<0/<'2/<'4+'302/<0'10'4e+446,H030,7?B
>1?'#<+*0<'2/<'@+@-0<'3-44-3)7<)';(=' ;6,*7-6,'10';HE'+-,2-'./0'402'O+<<02'1e0<<0/<2/<' ;(NB' $,' 1)1/-<0E' >@+<' 4+'3)7G610' 102'36-,1<02' *+<<)2?E' 40' *60;;-*-0,7' 10;<677030,7'27+7-./0'"=B'M)70<3-,0<'H<+@G-./030,7'4e-,*0<7-7/10'="=S
VU$-7?@@;:;?45$8?$@6755?A?45$8I4>A;E9?$",
L,'1)70<3-,0' 2-3@4030,7' 40' *60;;-*-0,7' 10' ;<677030,7' 1Q,+3-./0'"9' 0,' 7-<+,7' 2/<' 40O46*'D'/,0'A-70220'16,,)0'*6,27+,70E'07'0,'4-2+,7'2/<'40'1Q,+363F7<0'4+';6<*0'<)2-27+,7
+/'36/A030,7B' =6330' 4+' 40*7/<0' ,e027' @+2' 7<F2' @<)*-20E' 6,' A+' -*-' +/22-' *G0<*G0<' D
1)70<3-,0<'4+';6<*0'10';<677030,7'@6/<'@4/2-0/<2'@6-12'>0,'<+I6/7+,7'102'3+2202'2/<'40
O46*?E'07'0,'1)1/-<0'"9
!! =G6-2-<' /,' 102' O46*2B'P' 4e+-10' 1/'3670/<E' 3077<0' 40' O46*' 0,'36/A030,7' D' /,0
A-70220' O-0,' *G6-2-0' >A6-<' ^_' @4/2' O+2?B' M)70<3-,0<' 4+' ;6<*0' 10' ;<677030,7
1Q,+3-./0'@+<'40*7/<0'1-<0*70'2/<'40'1Q,+363F7<0B
!! X)@)70<'*0770'05@)<-0,*0E'0,'H+<1+,7'4+'3N30'A-70220'1/'3670/<E'0,'+I6/7+,7'102
3+2202'2/<'40'O46*B'M)70<3-,0<'+46<2'@4.;D1T<75730'>402'O-,i302'+Q+,7'40'703@2
2/;;-2+,7'26,7'A-A030,7'0,*6/<+H)2'D'/7-4-20<'4+'3)7G610'102'36-,1<02'*+<<)2?'40
*60;;-*-0,7'10';<677030,7'1Q,+3-./0'"9E'+-,2-'./0'26,'-,*0<7-7/10'="9'>@<6A0,+,710'4e0<<0/<'2/<'4+'302/<0'10'4+';6<*0'10';<677030,7'D'4e+-10'1/'1Q,+363F7<0?B
+W:'-4'027'-*-',)*022+-<0'10'O-0,'*G6-2-<'4+'A-70220'10'3+,-F<0'D':
K%' )A-70<' 40' 36/A030,7' 2+**+1)B' !+' A-70220' 16-7' 16,*' N7<0' +220V' H<+,10' >-4' ;+/7' ;+-<0' +770,7-6,' +/' ;+-7
./e+46/<1-<'40'O46*'0,'+I6/7+,7'102'3+2202'A+'0,*6/<+H0<'40'36/A030,7'2+**+1)'g'-4'027'16,*'@<);)<+O40'10
2e+22/<0<'1F2'40'1)O/7'./0'4e6,',e027'@+2'1+,2'*0'*+2'@6/<'4+'@4/2'H<+,10'3+220'@622-O40?B
9%',0'@+2'+440<'7<6@'A-70'+;-,'10'@6/A6-<'0;;0*7/0<'/,0'40*7/<0'*6<<0*70'2/<'40'1Q,+363F7<0B
:U$*79D?A?45$=>::>8<
j/+,1' 4+'A-70220'1/'3670/<',e027'@+2' 7<6@'H<+,10E' 40'36/A030,7'1/'O46*' 20' ;+-7'@+<
)@-26102'10'H4-22030,7B'!+';6<*0'10';<677030,7'2/-7'+46<2'/,0'*6/<O0'0,'10,72'10'2*-0':
KB'80,1+,7'40'*G+<H030,7E'40'O46*'027'-336O-40'D'4e)./-4-O<0E'4+';6<*0'10';<677030,7'027
+46<2' )H+40' 0,'361/40' >07' 10' 1-<0*7-6,' 6@@62)0?' D' 4+' ;6<*0' 10' @6/22)0B' =6330
*0440%*-'+/H30,70'*6,7-,R30,7'+/'*6/<2'1/'703@2E'4+';6<*0'10';<677030,7'+/22-B
9B'j/+,1'4+';6<*0'10';<677030,7'+770-,7'2+'A+40/<'3+5-3+40'>16,,)0'@+<'40'*60;;-*-0,7
10';<677030,7'27+7-./0?E'0440',e+<<-A0'@4/2''D'*63@0,20<'4+';6<*0'10'@6/22)0':'40'O46*
027' +46<2' G6<2%)./-4-O<0' 07' H4-220' 10' 3+,-F<0' D' T'+**633610<'U' *0770' @6/22)0
<)2/47+,70B'=0'H4-22030,7'2e-,70<<63@7'@6/<'/,0'*G/70'=('1/';<677030,7'2/;;-2+,70@6/<'*63@0,20<'4+'@6/22)0'>./-'+'16,*'1-3-,/)0'@0,1+,7'40'H4-22030,7E'40'<0226<7
2C)7+,7'1)70,1/?B'!0'*Q*40'<0@<0,1'+46<2E'+A0*'D',6/A0+/'*G+<H030,7'1/'O46*BBB
P' ,670<' ./0' *0' @G),63F,0' ,e027' @+2' <0@<61/-7' 05+*7030,7' 10' 4+' 3N30' 3+,-F<0' D
*G+./0' ;6-2' :' 0,7<0' 10/5' )@-26102' 10' H4-22030,7E' 4+' A+40/<'3+5-3+40' 10' 4+' ;6<*0' 10
;<677030,7' "=)' +-,2-' ./0' 4+' *G/70' =(' 10' 4+' ;6<*0' 10' ;<677030,7' @0/A0,7' A+<-0<20,2-O4030,7' >6,' 2e-,7)<0220' +46<2' D' 40/<2' A+40/<2' 36Q0,,02E' @6/<' /,' ,63O<0
2/;;-2+330,7'H<+,1'1e)@-26102'10'H4-22030,7?B
J-H/<0'a':'U#26<0123$97$6.$*24/7$97$*420075730$.<$/2<4=$9:<3
$$$$$$$$$$$$$$$$$52<#75730$=.//.9-
L,'A+'6O20<A0<'40'36/A030,7'2+**+1)E'07'027-30<'4+'*G/70'36Q0,,0'=('10'4+';6<*0'10;<677030,7'+/'*6/<2'1e/,')@-2610'10'H4-22030,7B
!! =G6-2-<' /,' 7Q@0' 10' O46*' 20/4030,7' >)A-70<' 10' @<);)<0,*0' *04/-' 0,' 3)7+4?E' 07
@<0,1<0'/,0'A-70220'1/'3670/<'2/;;-2+330,7'O+220'@6/<'6O20<A0<' 40'36/A030,7
2+**+1)B'W4'027'@<);)<+O40'10'<+I6/70<'/,0'3+220'2/<'40'O46*B
!! j/+,1' 40' 36/A030,7' 2+**+1)' *6330,*0E' 07' +@<F2' +A6-<' 4+-22)' /,0' 6/' 10/5
2+**+102'20'@<61/-<0'>10'3+,-F<0'D',0'@+2'*6,2-1)<0<'40'<)H-30'7<+,2-76-<0'-,-7-+4?E
*63@70<' 40' ,63O<0')' 1e)@-26102' 10' H4-22030,7' +-,2-' ./0' 40' H4-22030,7' 767+4'<
+Q+,7' 4-0/' +/' *6/<2' 1e/,' 703@2' 2/;;-2+330,7' 46,HB' $,' 1)1/-<0' 40' H4-22030,7
36Q0,E'@/-2'4+'*G/70'36Q0,,0'=('10'4+';6<*0'10';<677030,7E'@6/<'/,')@-2610'10H4-22030,7B
!! X0*6330,*0<' /,' *0<7+-,' ,63O<0' 10' ;6-2' *0770' 05@)<-0,*0E' 0,' H+<1+,7' 4+'3N30
A-70220B'$,'1)1/-<0'/,0'027-3+7-6,'10'4e-,*0<7-7/10'2/<'=(B
!"#$%"&' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 ''''''''''''''''#89':'!0';<677030,7'20*
27
!! $7'@6/<';-,-<BBB':'05@4-./0<'./+4-7+7-A030,7'*0'./-'20'@+220'./+,1'6,'+/H30,70'4+
A-70220'1/'3670/<B'=6330,7')A64/0'+46<2'=('k
WU! .4BC?$8?$@6755?A?45$;45?64?$8X94$A>5<6;>9$B6>49C>;6?
L,'<)+4-20<+'@4/2-0/<2'2)<-0'1C05@)<-0,*02'D'4C+-10'1/'1-2@62-7-;'1)*<-7'D'4+';-H/<0'`'07
@6/<'1-;;)<0,702'3+220'10'2+O40'>SB`lHE'KlHE'KB`lHE'9lH'07'9B`'lH?B'86/<'*G+./0'2)<-0':
%! $7+40<'/,0'3-,*0'*6/*G0'10'2+O40'2/<'40'@+@-0<'10'A0<<0B
%! 8020<'4+'3+220'10'2+O40'>+770,7-6,',0'@+2'1)@+220<'4+'3+220'3+5-3+40'2/@@6<7)0
@+<'4+'O+4+,*0?'07'<03@4-<'4+'O6-70'0,'7+22+,7'/,'@0/B
%! (077<0'0,';6,*7-6,'4+'I+/H0B'")40*7-6,,0<'402'/,-7)2'0,'lH'07'40'3610'1C+;;-*G+H0
T'8BmB'U'>T'E7.R$V269'U?E'+-,2-'4+'A+40/<'-,1-./)0'@+<'4C+@@+<0-4'*6<<02@6,1<+'D'4+
;6<*0'3+5-3+40'+770-,70'46<2'10'4C05@)<-0,*0B
%! #-<0<' 7<F2'@<6H<022-A030,7' I/2./CD' *0'./0' 40' H4-22030,7' 20' @<61/-20B'X040A0<' 4+
A+40/<'10'4+';6<*0'6O70,/0B
%! X)@)70<'10/5'6/' 7<6-2' ;6-2' 4C05@)<-0,*0'@6/<' 4+'3N30'3+220'10' ;+Z6,'D'6O70,-<
/,0'A+40/<'36Q0,,0'10'(5.MB
8<)20,70<' 402' <)2/47+72' 102' 302/<02' 2/<' /,' 1-+H<+330' 0,' @6<7+,7' 0,' +O2*-220' 4+
*6,7<+-,70'A0<7-*+40'&PP'07' 0,'6<16,,)0' 4+'*6,7<+-,70'*-2+-44+,70'&MPB'=+4*/40<' 4+'@0,703+5-3+40E' 3-,-3+40' 07' 4+' @0,70' 36Q0,,0B' $,' 1)1/-<0' 40' *60;;-*-0,7' 10' ;<677030,7
-,70<,0' "=$36Q0,' 07' 26,' -,*0<7-7/10'="=$g' 16,,0<' 4+' A+40/<' 36Q0,,0' 10' 4C+,H40' 10;<677030,7'-,70<,0'+B
!"#$%"&' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 '''''''''''''''''''''''''''''#8&'9'(02/:0'10'4+'1);6:3+7-6,
<=
!"#$%&'()&$*&$+,$*-./)%,!0/1
234$53$!"$6
$7/1-0:'4+'1);6:3+7-6,'2/>-7'?+:%! /,0'>+::0')4+27-./0'26/3-20'@'1-;;):0,72'7A?02'10';405-6,%! /,0'*6/*B0'C-2./0/20'-,*4-,)0'26/3-20'@'26,'?:6?:0'?6-12
",)!0&$!7-/)08(&
,9! .:;<=>?$@A=B:;$5C3?;$BADD;
!6:2./0'4D6,'*6/:>0'/,0'>+::0E'402'4-F,02'10'4+'?+:7-0'*6,C050'2D+446,F0,7'*04402'10'4+?+:7-0' *6,*+C0' 20' *6,7:+*70,7G' $,7:0' 402' 10/5' 05-270' /,0' 2/:;+*0' 1-70'?;34D;' ./-' ,02/>-7',-'*6,7:+*7-6,',-'+446,F030,7G
surface neutre
contraction
élongation
w
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
16,*'2046,'!#'07'*D027'/,0';6,*7-6,'$%10'4+'C+:-+>40'"E%?62-7-6,'10'*02'?6-,72'40'46,F10'4+'>+::0G
!+' ;6:30% +16?7)0' ?+:' /,0' >+::0' 1)?0,1' ,6,' 20/4030,7' 102' ;6:*02' ./-' 4/-' 26,7+??4-./)02'3+-2'+/22-'10'4+'46,F/0/:'&'10'4+'>+::0E'10'4+'F)63)7:-0'10'2+'20*7-6,E'1/3+7):-+/'16,7' 0440' 027' *6,27-7/)0'07'10' 4+' ;+K6,'16,7' 0440' 027'3+-,70,/0' @' L+/'36-,24D/,0'10M'202'057:)3-7)2G
N+,2'*0770'7B)6:-0'10'4+';405-6,';+->40E'40'1)?4+*030,7'$'1)70:3-,0'*63?4H7030,7'402+/7:02' F:+,10/:2' 3)*+,-./02' 1/' ?:6>4H30E' 0,' ?+:7-*/4-0:' 402' 0;;6:72' -,70:,02' L402*6,7:+-,702M' ./-' 20' 1)C046??0,7' @' 4D-,7):-0/:' 10' 4+' >+::0G' J,' +' +-,2-E' ?6/:' 4D;@@>D44DA?FGA?4'*D027'@'1-:0' 4+';6:*0'./-'+F-7'2/:'/,0'20*7-6,' 7:+,2C0:2+40'L07'./-'2D6??620+/5';6:*02'+??4-./)02'@'4+'>+::0M'9
'(")'O%*+%$,,,(")
6P'*%027'40'361/40'10'-./01%07'+'027'40'H>H;?4$5C=?;D4=;'L./-'1)?0,1'/,-./030,7'104+'F)63)7:-0'10'4+'20*7-6,MGQ/+,1'+/'3630,7'./-'20'1)C046??0'?6/:':)2-270:'+/'3630,7'102';6:*02'+??4-./)02E'07./0' 4D6,' ,6330'H>H;?4$ @:IFG=JJA?4E' -4' 027' ;6,*7-6,' 10' 4+' *6/:>/:0E' 16,*' 10' 4+1):-C)0'20*6,10'9
2(")%34*+%$,,(")
+;J$5=@@ID;?4J$4KL;J$5;$@=<A4=>?
J,'1-27-,F/0'10/5'36102'10';-5+7-6,
%'>6:1'0,'+??/-2!+';405-6,'A'027',/440'L$'O'RM'+-,2-./0'4+'*6/:>/:0'L$,,'O'RM
%'>6:1'0,*+27:)!+';405-6,'A'027',/440'L$'O'RM'+-,2-./0'4+'?0,70'L$,'O'RM
S'*02'10/5'7A?02'10';-5+7-6,'-4';+/7'+T6/70:'40'*+2'1D/,0'057:)3-7)'4->:0'07'?6/:'4+./04404+'*6/:>/:0'10'4+'>+::0';4)*B-0'027',/440'L$,,'O'RMG
!"#$%"&' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 '''''''''''''''''''''''''''''#8&'9'(02/:0'10'4+'1);6:3+7-6,
<U
+A$D=M=5=4I$N$:A$@:;<=>?
!0'?:61/-7'*+' 027' +??04)'D=M=5=4I$ @:;<3DA:;' *+:'?4/2' -4' 027' F:+,1'36-,2' 4+' ;4H*B0' 027-3?6:7+,70G'!0'3630,7'1D-,0:7-0'+'027'/,';+*70/:'F)63)7:-./0G'S'7-7:0'1D0503?40'C6-*-26,'05?:022-6,'?6/:'/,0'>+::0'@
%! 20*7-6,':0*7+,F/4+-:0'10'*V7)2'5'07'6'9' W<&56+ !
%! 20*7-6,'*-:*/4+-:0'10'1-+3H7:0'7'9 XYY7+ "!
'>:34=>?J$L>3D$3?;$FGADM;$L>?F43;::;
J,'16,,0'?6/:'402' 7:6-2'*+2'*6,2-1):)2E' 4+';6:30'?:-20'?+:' 4+'>+::0'07' 4+'C+40/:'10' 4+;4H*B0'L$89"M
+M! *B+:F0'*6,*0,7:)0'+/'3-4-0/'10'4+'>+::0
!+' ;6:*0' ?6,*7/0440' :' 2D+??4-./0' +/'?6-,7'"%O'&% Z' <G'J,' *6,2-1H:0' 402' 10/5' *+22A3)7:-./02'2/-C+,72
%! 402'10/5'057:)3-7)2'26,7'+??/A)02
f
L / 2
MY&LY=
ML << "&"*+
:"$ #!
M<RL &" $$*+
:&$
Y=
&
3+5 !
%! 402'10/5'057:)3-7)2'26,7'0,*+27:)02
f
L / 2
MY&LY=
ML < "&"*+
:"$ #!
M<RL &" $$*+
:&$
WU<
&
3+5 !
[03+:./0:'4D0;;07'-3?6:7+,7'1/'3610'10';-5+7-6,'2/:'4+'C+40/:'10'4+';4H*B0'L0440'027'Y;6-2'?4/2';+->40'?6/:'/,0'>+::0'0,*+27:)0'./0'?6/:'/,0'>+::0'0,'+??/-2'2-3?402MG
>M! *B+:F0'*6,*0,7:)0'@'4D/,0'102'057:)3-7)2'4->:0
!+';6:*0'?6,*7/0440':'027'+??4-./)0'@'4D/,0'102'057:)3-7)2'?+:'0503?40'0,'"'O'&E4D+/7:0'057:)3-7)'L"'O'RM'')7+,7'>-0,'0,70,1/'0,*+27:)0G
f
L
M&LX
ML < "&"*+
:"$ #!
*+
:&$
&
&
3+5 !
29! -F>3:;H;?4$5C3?;$F>3FG;$=?F:=?I;
I6,2-1):6,2'/,0'*6/*B0'C-2./0/20'-,;-,-30,7'46,F/0'10'B+/70/:';'?62)0'2/:'/,'?4+,-,*4-,)'2/:'4DB6:-\6,7+40'1D/,'+,F40'%G'!+';:6,7-H:0'2/?):-0/:0'027'4->:0'10'76/70';6:*0'07402' *6,1-7-6,2' 1D+1B):0,*0' 10' 4+' *6/*B0' 2/:' 40' ?4+,' -,*4-,)' -3?4-./0' /,0' C-70220:04+7-C0',/440'0,7:0'4+'>+20'10'4+'*6/*B0'07'40'?4+,'-,*4-,)G
<;
#
" .
%
=/>:9?@%ABC>@%('%%3%D)
=/>:9?@%EF9E;G>@0?@%(<%3%D)
1
"6/3-20'@'4D+*7-6,'10'4+'F:+C-7)E'4+'3+7-H:0';6:3+,7'4+'*6/*B0'2D)*6/40'L1D+/7+,7'?4/240,7030,7' ./0' 4+' C-2*62-7)' 027' F:+,10MG' J,' ?+:40' 26/C0,7' 10' @:3AM;' L*%@%1' 101);6:3+7-6,'*6,7-,/0'@'*B+:F0'*6,27+,70M'?6/:'./+4-;-0:'*0'7A?0'10'1);6:3+7-6,G
"-' 4D6,' 2/??620' ./0' 4D)?+-220/:' ;' 10' 4+' *6/*B0' :0270' *6,27+,70' +/' *6/:2' 10' 4+1);6:3+7-6,'07' 2-' 40' ;4/-10'027'0@$H.0B@0I'6,'?0/7' ;+*-4030,7'1)70:3-,0:' 40'?:6;-4'10C-70220'0,')*:-C+,7'4D)./-4->:0'102';6:*02G'I04/-%*-'+/:+'4D+44/:0'-,1-./)'2/:'4+';-F/:0'*-%1022/2'L
!
< ?+:+44H40'@'4+'*6/*B0'07';6,*7-6,'10'#'20/4030,7MGI6,2-1):6,2' 16,*' /,0' 7:+,*B0' 7:H2' ;-,0' ?+:+44H40' +/' ?4+,' -,*4-,)E' 10' 2/:;+*0' J' 07*63?:-20'0,7:0'#%07'#K&#G%!+';+*0'-,;):-0/:0'10'4+'7:+,*B0'027'+,-3)0'1D/,0'C-70220'10
!"#$%"&' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 '''''''''''''''''''''''''''''#8&'9'(02/:0'10'4+'1);6:3+7-6,
&R
361/40' <(#)E' 4+' ;+*0' 2/?):-0/:0' 1D/,0' C-70220' 4)FH:030,7' ?4/2' F:+,10' 10' 361/40<(#K&#)G'!02';6:*02'./-'+F-220,7'2/:'*0770'7:+,*B0'26,7'L*;G';-F/:0M'9
#! 40'?6-12'10'4+'7:+,*B0' 18L!
!
! '6P'8%027'2+
3+220E
#! 4+' :)+*7-6,' 1D+??/-2' BM!
2/:' 4+' 7:+,*B0-,;):-0/:0' *63?:-20' 0,7:0' R' 07' #' L;6:*0?+:+44H40'@'4D+50'!#ME
#! 4+' :)+*7-6,' 1D+??/-2'!
M= ./D050:*0' 4+
7:+,*B0' 2/?):-0/:0'*63?:-20'0,7:0'#K&#%07;'L;6:*0'?+:+44H40'@'4D+50'!#ME
#! 402' ;6:*02' 10' ;:677030,7' B:'!
07 =:'!
2/:' 4+
;+*0' -,;):-0/:0' 07' 2/?):-0/:0' 10' 4+' 7:+,*B0L;6:*02'?+:+44H402'@'4D+50'!"MG
#
"
#%3%;
#%3%D
&#M=
B
':
MB
=
L
<(#K&#)
<(#)
':
!+';6:*0'10';:677030,7 B:'!
'2/:'4+';+*0'-,;):-0/:0'+'?6/:'361/40' ML#E#
E<J' G
$440'7:+1/-7'40';:677030,7'2/>-7'?+:'4+'7:+,*B0'1/';+-7'10'26,'1)?4+*030,7':04+7-C030,7'@4+'7:+,*B0'-33)1-+7030,7'0,'10226/2G'!+'C-70220'10'*0770'10:,-H:0')7+,7'36-,1:0'./0
<(#)E' B:'!
027'1-:-F)0'C0:2'402'"',)F+7-;2'L0440';:0-,0'4+'7:+,*B0']#I%#K&#^MG
!+';6:*0'10';:677030,7' =:'!
'2/:'4+';+*0'2/?):-0/:0'+'?6/:'361/40 ML ##E#
E<J &' ( G'86/:
402':+-26,2'-,C0:202'+/5'?:)*)10,702''L4+'7:+,*B0'+/%1022/2')7+,7'?4/2':+?-10ME' =:'!
'027
1-:-F)0'C0:2'402'"'?62-7-;2'L0440'+**)4H:0'4+'7:+,*B0']#I%#K&#^MG
8:6T076,2'+46:2'402')./+7-6,2'1D)./-4->:0'102';6:*02'2/:'4D+50'!"'9
RMLML2-, !((# ##E#
E<J#
E#
E<J81 &''%
_7+,7'16,,)'./0'8%3%)J&#E'6P')'027'4+'3+220'C64/3-./0'10'4+'*6/*B0E'07'./0
MLMLML <<
<
#.E#
<E##
E#
E<##
E#
E<&&& ((!(
-4'C-0,7'0,'?+22+,7'@'4+'4-3-70'9
'
%) 2-,ML
<
< 1#
E#
<E#!
)./+7-6,'./-'2D-,7HF:0'0,
N#1
#E#
E<(#!
'
%) 2-,ML ''''''07'''' 7N##
1#< ((#! <
<
2-,ML
'
%)
$,'/7-4-2+,7' 4+' *6,1-7-6,' 1D+1B):0,*0' 2/:' 40' ?4+,' -,*4-,)' L<(D)%3% DM' 1D/,0' ?+:7' 07' 4+*6,1-7-6,'10' 2/:;+*0' 4->:0' L *!*! RMLRML ;E#E<J;': ' ' 0)( !hdydv M' 1D+/7:0
?+:7E'6,'6>7-0,7
7%3%D''''07''' '%) 2-,1;N !
ND6P'4D05?:022-6,';-,+40'10'4+'C-70220'0,';6,*7-6,'10'#'9
M<L<
2-,ML #;#
1#< #!
'
%)
`670:'+46:2'4+'C+40/:'10'4+'C-70220'102'?+:7-*/402';6:3+,7'4+'2/:;+*0'9
'
%)
<
2-,ML
<1;;< !
!"#$%"&' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''()*+,-./0'102'3-4-0/5'*6,7-,/2 '''''''''''''''''''''''''''''#8&'9'(02/:0'10'4+'1);6:3+7-6,
&W
",)!0&$&O"-)0%&1!,+&$6$!),P,0+$Q$.,0)&
,9$.:;<=>?$@A=B:;$5C3?;$BADD;
J,'1-2?620'10'7-F02'@'20*7-6,'*-:*/4+-:0'10'1-;;):0,72'1-+3H7:02'3+-2'10'3a30*6,27-7/7-6,'L+*-0:MG
86/:'10/5'10'*02'7-F02E':)+4-20:'102'302/:02'10'4+';4H*B0'1+,2'402'10/5'*+2'2/-C+,72
%! 202'10/5'057:)3-7)2'26,7'0,*+27:)0'07'0440'027'*B+:F)0'0,'26,'3-4-0/
b-50:' 4+' 7-F0' @' 4D+-10' 102' C-2' 10' 20::+F0' 0,' *B6-2-22+,7' /,0' 46,F/0/:' 10' 7-F02/;;-2+,70' ?6/:' ./D0440' ?/-220' ;+*-4030,7' ;4)*B-:G' N)70:3-,0:' 26-F,0/2030,7' 403-4-0/'10'4+'7-F0
%! /,0'10'202'057:)3-7)'027'0,*+27:)0'07'0440'027'*B+:F)0'@'26,'057:)3-7)'4->:0
b-50:'4+'7-F0'@'4D/,0'10'202'057:)3-7)2G'86/:'./0'4+';405-6,',0'26-7'?+2'*0770';6-2%*-7:6?'-3?6:7+,70E')C-70:'10'?:0,1:0'/,0'46,F/0/:'7:6?'F:+,10G
N+,2'402'10/5'*+2E'2/2?0,1:0'1-;;):0,702'3+2202'07'302/:0:'40'1)?4+*030,7'0,F0,1:)G[0?:)20,70:' 2/:' /,' F:+?B-./0' 4+' :04+7-6,' ;4H*B0%?6-12' ?6/:' 402' 1-;;):0,702' 7-F02' 0,?:0,+,7' 0,' *63?70' 4D0::0/:' 2/:' 4+' ;4H*B0G' $,' 1)1/-:0' /,0' 027-3+7-6,' 1/' 361/40' 10-./01'07'10'26,'-,*0:7-7/10G
29$-F>3:;H;?4$5C3?;$F>3FG;$=?F:=?I;
c,'>46*'10'2-4-*6,0'027'?62)'2/:'/,0'?4+./010'?405-F4+2'-,*4-,+>40G#:+*0:' @' 4D+-10' 1D/,' 27A46' ;0/7:0' /,0' F:-440/,-;6:30' 2/:' 4+' 2/:;+*0' 10' 4+' 2-4-*6,0G' "+1);6:3+7-6,' +/' *6/:2' 1/' 703?2' ?0:3077:+/,0'C-2/+4-2+7-6,'10'4D)*6/4030,7'0,'2/:;+*0G#:+*0:' +/22-' 102'3+:./0/:2' *-:*/4+-:02' 1+,2./04./02'*044/402'10'4+'F:-440G
1>BAA@
HG8.B0
%
89>O/@/>%
?B>?/A9B>@
8+:7-*/4+:-20:' &' ,d/12' L,6,' +4-F,)2M' 10' 4+' F:-440E' +/' *0,7:0' 10' 4+' *6/*B0E' 0,' A1)?62+,7'102'?07-72'7)36-,2'0,'?+?-0:G'b+-:0'10'3a30'@'?:65-3-7)'1D/,'102'>6:12G!+' 302/:0' 1+,2' 40' 703?2' 10' 40/:' 1)?4+*030,72' ?0:3077:+' 10' 1)70:3-,0:' 4+1);6:3+7-6,'0,7:0'10/5''-,27+,72'1+,2'*B+*/,'102'10/5'7:-+,F402G'!+'302/:0'10'4+C-70220'+/'*0,7:0'10'4+'F:-440'?0:3077:+'1D027-30:'4+'C-2*62-7)'10'*0770'2-4-*6,0G
#! 8:6*)10:' @' 4+' 302/:0' 10' 4+' 3+220' C64/3-./0' 10' *0770' 2-4-*6,0G' 8:0,1:0' 4+703?):+7/:0'+3>-+,70G
#! e,*4-,0:' 4+' ?4+./0' 10' ?405-F4+2' 10' %'O'YRfG' !->):0:' 4+' ;+*0' -,;):-0/:0' 10' 4+*6/*B0' 10' 2-4-*6,0' 0,' V7+,7' 4+' >/7)0G' S770,1:0' ?4/2-0/:2' 3-,/702' +C+,7' 10*6330,*0:'402'302/:02G
#! N)3+::0:'40'*B:6,63H7:0G'[040C0:'4+'?62-7-6,'".'10'*B+./0'7)36-,'@'4D+-10'104+' :HF40' F:+1/)0' ?4+*)0' @' *07' 0;;07G' S' 4D+-10' 1D/,0' 7-F0' 3-,*0' 302/:0:4D)?+-220/:'36A0,,0';.%10'4+'*6/*B0G
#! [040C0:':)F/4-H:030,7'L76/702'402'3-,/702'?+:'0503?40M'4+',6/C0440'?62-7-6,'"H10' *B+./0' 7)36-,G' $,' 1)1/-:0' 26,' 1)?4+*030,7' ' EH' O' "H#".' 07' 2+' C-70220+??:65-3+7-C0' H""< HHHH +#! +# ML G
#! S'4+';-,'10'4D05?):-0,*0E':0302/:0:'4D)?+-220/:';:'10'4+'*6/*B0G'#:+*0:'4+'*6/:>016,,+,7' 4D)C64/7-6,' 1/' 1)?4+*030,7' 1/' :0?H:0' 2-7/)' 40' ?4/2' +/' *0,7:0' 10' 4+2/:;+*0G'$,' 1)1/-:0' 2+' C-70220'36A0,,0G'$,' /7-4-2+,7' 40'361H40' 10' 4+' *6/*B0-,;-,-0' 1D)?+-220/:' *6,27+,70E' 027-30:' 4+' C-2*62-7)' 10' *0770' 2-4-*6,0' L;+-:0' 40*+4*/4'?6/:'402'10/5'302/:02'10'4D)?+-220/:MG
#! c7-4-20:'402'?62-7-6,2';-,+402'07'-,-7-+402'102'7)36-,2'?6/:'*+4*/40:'1+,2'*B+*/,102' 10/5' 7:-+,F402' L2/??62)2' 2/;;-2+330,7' ?07-72' ?6/:' ./0' 4+' 1);6:3+7-6,' A26-7' B636FH,0M' 4+'3+7:-*0' 1/' F:+1-0,7' 10' 4+' 7:+,2;6:3+7-6,'.G' $,' 1)1/-:0' 4+3+7:-*0' 1/' 70,20/:' 10' 1);6:3+7-6,' 10' P>@@04&91>901@$ &' 0,7:0' *02' 10/5-,27+,72G'!DBA?67BH20'102'1);6:3+7-6,2'-,;-,-7)2-3+402'027%0440'/7-4-2+>40'g
#! N022-,0:'4D+44/:0'10'4+'F:-440'07'102'3+:./0/:2'L-,-7-+4030,7'*-:*/4+-:02M'@'4+';-,10' 4D05?):-0,*0' 07' 0,' 16,,0:' /,0' -,70:?:)7+7-6,G' [0?:)20,70:' +/22-' 40' ?:6;-4C0:7-*+4'?:-2'?+:'4+'*6/*B0'10'2-4-*6,0G
top related