Structural Design Report 260' S3TL Series HD1 Self-Supporting Tower Site: 05 Northeast Tower, IA
Prepared for: RACOM CORPORATION by: Sabre Industries TM
Job Number: 20-6098-TJH
March 18, 2020
Tower Profile……………………………………………………………………………………….1-2
Maximum Leg Loads……………………………………………………………………………………….3
Maximum Diagonal Loads……………………………………………………………………………………….4
Maximum Foundation Loads……………………………………………………………………………………….5
Calculations……………………………………………………………………………………….6-18
! ! " ! ! " ! ! " ! ! " ! ! " ! ! " # $% & $% & '( "# )* + ,- - - - - ,- - - . / + 0 - , 0 - 0 - 1# )+ , , , , - - - - - - - - - - - - - - 4 #* + ( ( ( 7 + + #3: 4 * /( @ @ + ( # @ ( + @+ @ +/ (/ ( < # *:* ?7 3@ * + * + - 2 & 1? 4# ( C / ( 44/# # / 1? C : 1? 4# ( 44/# 1? : ? ( */#*C #(* /* @+ ( : ? ( */#*C #(* /* @+ ( "8D $% ,2 .+D $% 2, 1/8 7C 3 2 1/8 . 8 1/+? * < Thi rDq vr % '+ /# / + ? ** @ /# '+ + E # % '@ 6D ,,E % @ * *C : ((#?C + :/* '+ % " @+ 47 +@ 4 )+ % " 25(% ' $: 9425(% $: 1+ $5(% ; /* < 7 '( (+# . #*/ '( (+# "# 78(/ 7 65 3# '+#5 )* 1(* $3#% )* 1(* $! 3#% 8 $5(% % /B/ * @ + + + ,% %$% & * 8 &2 " * #+ % "/* * +@ 484/4 % + < $ / ?* 4/ +% % * * #+* ? ' 4 % @ 4* 1 ' 1 '+ % 2 ? # ? % ? # ; * % $ 5 9 >*% % 9vyh * * + 3 /* * B/ 4 : +@ + :@ ($% 4 8#* & ? # # @ ,& 48 ( A# ?< # # @ ,& 48 ( A# & ? @</* ** @#5? + + * 7 UhyAqhv D # (D !4D 1 /4 D F?D 9rvt8 vr vh6ITDUD6!!!C , , 6 - 1 ' '@ C 3 + ! 6 9 6. 6'3 ! !%('UEC 7hrSrhpv Hhr vhyGv I r =(: $5(% =(: 4( $5(% 1+ $5(% Whyr 7D DqvvqhyAvt *$% *$% < # 9+* $14(:*% ## ## ( ? + < 7 + + 4(+ 4(+ : : 333 Page 1 9rvtrq6 rhprGhqvt @yr 9rp vv UGvr @yr 9rp vv UGvr $% .12 2 $% - 3# 1+* $ % : 1* 4 + 9/ $% & $% - . + $% ) $% '' $& 8 & 8 &% $% & $% - 3# 1+* $% + 9/ : 1* 4 $% - 1* + ) 6*4 $% ) $% & , $ % $% - 3# 1+* $ % : 1* 4 + 9/ $ % & $% - 1* + ) 6*4 $% )
F?D Thi rDq vr !%('UEC 1/ +? * < . 8 / 4 D 6 9 6. 6'3 ! 1/8 7C 3 2 1 !4D .+D $% 2, ! + '@ C 3 "8D $% ,2 # ( D 3: 4 # * + + ( ( 7 : 1? 44/# ( C # / * - 1 ' # *:* ?7 3@ * + * + ? ( */#*C #(* /* @+ ( : 7 (/ ( @+ < @ +/ + ( @ # : 1? 44/# ( D 7D 6
Page 2 DRAWFORCE Ver 2.2 (c) Guymast Inc. 2006-2009 Phone:(416) 736-7453 18 mar 2020 Licensed to: Sabre Towers and Poles 17:23:51
Maximum
Compression in Legs (kip) Tension in Legs (kip) Elev(ft) 300 200 100 0 50 100 150 200 250 260.0 260.0
240 31.8 51.9 240
220 220
57.6 82.4
200 200
111.8 146.5
180 180
143.2 178.5
160 160
140 177.3 213.9 140
120 120
100 100
241.3 296.3
80 80
60 60
327.1
40 261.0 40
385.6
20 20
336.3 407.4
0 0 300 200 100 0 50 100 150 200 250
Project: F:\Tower Eng. Data Files\Sabre Order Files\Pro...\20-6098-TJH.mst Page 1
Page 3 DRAWFORCE Ver 2.2 (c) Guymast Inc. 2006-2009 Phone:(416) 736-7453 18 mar 2020 Licensed to: Sabre Towers and Poles 17:23:51
Maximum
Compression in Diagonals (kip) Tension in Diagonals (kip) Elev(ft) 7.5 5 2.5 0 1 2 3 4 5 6 7 260.0 260.0
240 240
220 220
200 7.2 7.2 200
180 180
160 160
140 140
7.1 7.1
120 120
6.5 6.5
100 100
9.4 9.4
80 80
13.1 13.1
60 60
8.8 8.8
40 40
15.9 15.9
20 20
13.6 13.6
0 0 7.5 5 2.5 0 1 2 3 4 5 6 7
Project: F:\Tower Eng. Data Files\Sabre Order Files\Pro...\20-6098-TJH.mst Page 2
Page 4 DRAWFORCE Ver 2.2 (c) Guymast Inc. 2006-2009 Phone:(416) 736-7453 18 mar 2020 Licensed to: Sabre Towers and Poles 17:23:51
Maximum
TOTAL FOUNDATION LOADS (kip, ft-kip)
17.98 4660.79
97.08 37.70
INDIVIDUAL FOOTING LOADS (kip)
23.36
19.06
232.72 267.60
23.37
Project: F:\Tower Eng. Data Files\Sabre Order Files\Pro...\20-6098-TJH.mst Page 3
Page 5 2222222222222222222222222222222222222222222222222222222222222222222222222222222 GhvprqUr 6hyvVtrqp! &BhDp# %&"%&#$" Q prrqqr yvprrh) Thi rUr hqQyr) 'h !!h) &)!")$ 2222222222222222222222222222222222222222222222222222222222222222222222222222222
H6TUB@PH@US`s 22222222222222222222 Q6I@GIPPA@G@W6U@G@W6UAX6UAX6UU`QD86G U`Q@G@BT7PUUPHUPQ7PUUPHUPQQ6I@G C@DBCU Y"!$$!%$$$ Y"!#!$$$$$ Y"!"$!#$$$ Y"!!!"$$$$ Y"! $!!$$$ Y"!! $$$$ Y" ($!$$$ Y" ' ($$$$ Y" &$ '$$$ Y" % &$$$$ Y" $$ %$$$$ Y" # $$&$$$ Y" ! #(&$ Y" ! (%%& Y"' " %%& Y"%' $ "%%& Y"#% & $ Y"!# ( & Y"!! ( H@H7@SQSPQ@SUD@T 22222222222222222 H@H7@S7PUUPHUPQYT@8UIS69DVT@G6TUD8UC@SH6G U`Q@@G@W@G@W6S@6PAB`S6UHP9VGVT@YQ6ITI ssvvxvqrt G@!!!% &$&'&!( & G@!!! &#&'&!( & G@ '!" %&'&!( & G@ % '"%&'&'&!( & G@ ! %##&&'&!( & G@% !% &'&!( & G@!%&($!&'&!( & G@!'"((&'&!( & 9D !!%#'#%!%!( & 9D !& $%!%!( & 9D' (!%!%!( & 9D#' (%!%!( & 9D# %''%!%!( & CP!$$!%#'#%!%!( & CP!"$!##'#%!%!( & CP! $!!#'#%!%!( & CP ($!#'#%!%!( & CP &$ '#'#%!%!( & CP $$ %#'#%!%!( & A68UPS@9H@H7@SS@TDTU6I8@T 222222222222222222222222222 7PUUPHUPQG@BT9D6BPI6GTCPSDaPIU6GTDIU7S68DIB @G@W@G@W8PHQU@IT8PHQU@IT8PHQU@IT8PHQU@IT ssxvxvxvxvxvxvxvxv !$$!%" '#$ (& %& %& %& % !#!$$" '#$ (& %& % !"$!#" '#$ (& %& %& %& % !!!"$" '#$ (& %& % ! $!!$&%!'!#$& %& %& %& % !! $$&%!'!#$& %& % ($! '! #%#&& %& %& %& % ' ($ '! #%#&& %& % &$ ' #" ' &'#'& %& %& %& % % &$ #" ' &'#'& %& % $$ % &&!(! "''& %& %& %& % # $$ &&!(! "''& %& % ! # &&!(! "''& "& " !!# !'!(%""%$ %$
Page 6 ' !# !'!(%""(#$(#$ %'!# !'!(%"" " " #%!%(%"!& ''#''# !#!%(%"'$$' $'' $'' !""%" #&# "$( "$(
22222222222222222222222222222222222222222222222222222222222222222222222222222222 Py"pqvvuvsyy Trvqyhqhuhrirrqr vrqs syyphyrvqryrvt 22222222222222222222222222222222222222222222222222222222222222222222222222222222 GP69DIB8PI9DUDPI6222222222222222222222222222222222222222222222222222222222 &uvqvuvprXvq6vu)5 QG
H6TUGP69DIB 222222222222 GP69@G@W6QQG`GP696UGP69APS8@THPH@IUT U`Q@S69DVT6aD6aDCPSDa9PXIW@SUD86GUPSTI6G ssxvxvsxvsxv 8!#'#$ ' 8!# ( ## 8!!'%!"$ 8! '"!" 8 '$!&(# 8 $$ '%! 8 $!#(# 8('%$( % 8''#$& 9!% '&# 9!$$ '&# 9!$$ '%" 9!##!%" 9!##! $ # 9!"$#! $ # 9!"$#!'# # 9!!#!'# # 9!!#! $ # 9!#!($!# 9!#! &!# 9 '$#!(%!# 9 '$#!(%!# 9 '#!(%!# 9 '#! '!# 9 %#! &!$ 9 %## (!# 9 "!( (!$ 9 ""' !(!$ 9 !"!" !(!$ 9 !!$ !"$ 9 !#% ! !"$ 9 ! & " ""$ 9'!$ # ##% 9' &% $ $$% 9% (! $ $$% 9% $' " %%$ 9# %& " %$% 9# #! " (%$ 9 "$ "! &$ 6IU@II6GP69DIB 222222222222222 6IU@II66UU68CH@IU6IU@II6APS8@T U`Q@@G@W6aDS696aD6YD6GTC@6SBS6WDU`UPSTDPI ssxvxvxvsxv TU9S &$## !# CQ #$$!%(! TU9S &'('!# 22222222222222222222222222222222222222222222222222222222222222222222222222222222 GP69DIB8PI9DUDPIx222222222222222222222222222222222222222222222222222222222 &uvqvuvprXvq6vu)5 QG
H6TUGP69DIB
Page 7 222222222222 GP69@G@W6QQG`GP696UGP69APS8@THPH@IUT U`Q@S69DVT6aD6aDCPSDa9PXIW@SUD86GUPSTI6G ssxvxvsxvsxv 8!#'#$ " 8!# ( ' 8!!'%!"# 8! '" ' 8 '$!&& 8 $$ '#& 8 $!#& 8('%$( ! 8''#$$" 9!% '&" 9!$$ '&" 9!$$ '%! 9!##!%" 9!##! " # 9!"$#! " # 9!"$#!'" # 9!!#!'" # 9!!#! # # 9!#!(" # 9!#! $ # 9 '$#!($ # 9 '$#!($ # 9 '#!($ # 9 '#! % # 9 %#! $ $ 9 %## % # 9 "!( %!$ 9 ""' !&!$ 9 !"!" !&!$ 9 !!$ (!$ 9 !#% !(!$ 9 !!# " "$ 9&"" '# $ #% 9&"" '# $ #% 9% (! $ #% 9% $' " !#$ 9# %& " !#% 9# #! " $$$ 9 "$ " %$$ 6IU@II6GP69DIB 222222222222222 6IU@II66UU68CH@IU6IU@II6APS8@T U`Q@@G@W6aDS696aD6YD6GTC@6SBS6WDU`UPSTDPI ssxvxvxvsxv TU9S &$## ' CQ #$$!%( $ TU9S &'(' ' 22222222222222222222222222222222222222222222222222222222222222222222222222222222 GP69DIB8PI9DUDPI6V222222222222222222222222222222222222222222222222222222222 #uvqvu $vprXvq6vu)5 QG
H6TUGP69DIB 222222222222 GP69@G@W6QQG`GP696UGP69APS8@THPH@IUT U`Q@S69DVT6aD6aDCPSDa9PXIW@SUD86GUPSTI6G ssxvxvsxvsxv 8!#' &#( 8!# !"" " 8!!'% #"" 8! ''$ 8 '$$ #& 8 $$# $ 8 $$ ## 8('%"!(" 8'' ## 9!% '!! 9!$$ '!! 9!$$ ' & 9!#$ ' %
Page 8 9!#$#!! &! 9!##!! &! 9!##!!!$( 9!"$#!!!$( 9!"$#!!! ( 9!!#!!! ( 9!!#!"!%( 9! $#!"!%( 9! $#!!!! 9!#!!!! 9!#!"!' 9 ($#!"!' 9 ($#!!!# 9 '#!!!# 9 '#!"!( 9 &$#!"!( 9 &$#!!!$ 9 %#!!!$ 9 %#&"" 9 $$#&"" 9 $$"% !!& ! 9 #$"'"!!' ! 9 #$"#"!( # 9 #"#"!( # 9 #!&'"!( & 9 !$"("" $ 9 !$"!""" $ 9 !"!""" $ 9 !!#$""! ' 9 %&!%""" ' 9 %&!# ""# ( 9 !# ""# ( 9 ! $""&!! 9'%&! $""'!" 9'%&!""#!' 9'!""#!' 9' &%"#"" 9% (!"#$!( 9% $'"#"# 9# %&"# "" 9# #!"#$"% 9! #("#%"$ 9! !(!## $ 9 !(!## $ 9 "$!##!( 9 "$!##!( 6IU@II6GP69DIB 222222222222222 6IU@II66UU68CH@IU6IU@II6APS8@T U`Q@@G@W6aDS696aD6YD6GTC@6SBS6WDU`UPSTDPI ssxvxvxvsxv TU9S &$## #'( CQ #$$!('# TU9S &' !'$ 22222222222222222222222222222222222222222222222222222222222222222222222222222222 H6YDHVH6IU@II66I9S@AG@8UPSSPU6UDPIT) 222222222222222222222222222222222222222 @G@W6aDU`Q@7@6H9@AG@8UDPITqrt sqrtSPGG`6XQDU8CUPU6G &$TU9S '"%T %"x $% E $%"E #$CQ !T(#Q %E &E TU9S%"'T"&$!&E$!&E H6YDHVHU@ITDPIDIH6TUH@H7@STxv 2222222222222222222222222222222222222 @G@WG@BT9D6BCPSDa7S68@ s !%!766 %x(x !$$!7B6 "'x!$E !$ 686 !x$!i !#$"7T6 !%&x'# !# &6V6 #(x "$
Page 9 !"$ $66 '%!x %"W !""686 !%$y '( !!$ &76 &"'x! $9 !!$$76 !!# x!$ y ! $!%76 !(%y!'s ! "686 "$#%x!(& !$!%76 #!&#x"!9 !%"66 $'x"#(x ($!'66 $(%x"&(T (!696 %&##x"( '$!%66 &%'&x#!&9 '((H6 '%'#x#&(6A &$"(66 ('(x$%!W &%686 $!x$(#9 %$"'66 !#!#x%"6A % 686 "##x!&68 $$"#66 "!% x $#V $%E6 """x $( #$!!66 "$%!x '(6C #&E6 "&#x!%8 "$ %66 # !x ($6C "(66 #!&x!(A !$ !66 #$$x!&6C !'66 #&%(x!#A "" !66 $ %x!# 6C %&(`6 $#''x!$' (66 $(#!x"%!6C (""'`6 %"%%x#%A '%&&66 %( (x"($6C '&`6 &"(&x#" A &"" 66 &($%x# %6C %%&%`6 '#$!x#$ A %(66 ( "!x#'!6C $(66 (''%x$ "A #'66 !%'!x$%6C "'66 ! #!"x$"%A ! 66 !! (%x$"#6C &66 !!(!"x$%!A 66
H6YDHVH8PHQS@TTDPIDIH6TUH@H7@STxv 22222222222222222222222222222222222222222
Page 10 @G@WG@BT9D6BCPSDa7S68@ s !%x6 %7H B !$$ 6P6 %!B!&6P !$ `6 &!B$"6P !#$!6 "%$T'&r !# 686 %&&T $"T !"$ "686 T $( !""H6 $$!T ("9 !!$ $686 !'U! &r !!$"696 !%"'T!'U ! $!$696 ""('U!&# ! "66 #(%T"&T !$!$696 #(#T"!!T !%"686 $& T"'#T ($!'686 %&! T"%% (!76 &%##T#&T '$!%686 '&#$T#!(T '("6P6 ('!T$&r &$"(686 ('T$&$9 &%66 !##"T$'!W %$"'686 "( T% &9 % 66 #$%"T!&6 $$"#686 #'$'T #( $$6G6 #'(#T %(V #$!!6 $!(T!#A #%6G6 $"%&T!!6@ "$ %6P6 $%'&T!%A "'686 $( T!(6@ !$ !686 %!""T! $A !'686 %$#!T!##V "" 686 %('&T!#'A %&'6 &# &T!%'V '686 &('!T"((A (""'6 '#(!T"&&6C '%&&686 ( !#T#!%A '&6 (%( T#%6C &"" 686 !" #T##!A %%&$6 !((T#"6C %(686 ! %'&T$&A $'686 !!$((T#($6C #&686 !"$#T$!&A "&686 !##%"T$!!Y ! 686
Page 11 !$#'T$$ A %686 !%"!"T$$ Y 66 APS8@S@TDTU6I8@S6UDPDIG@BT 222222222222222222222222222222 G@B8PHQS@TTDPIG@BU@ITDPI H6TUAPS8@APS8@ @G@WH6Y8PHQS@TDTUH6YU@ITS@TDTU s8PHQS@TDTUS6UDPU@ITS@TDTUS6UDP !% %" '#%$ ( !$$ %!" '#!"'$ ( !$ &!" '#$ !$ (! !#$ "%$" '# !%&$ ($ !# %&&" '#! #($ (( !"$ " '#"$'%!$ ( & !" $$!" '##( !%$$ (!# !!$ !'" '#%$ &"'$ ("" !! !%"'$&%!#%!!# '!#$!& ! $ ""('$&%!$(!(%'!#$"$ ! #(%$&%!& "$#%'!#$#" !$ #(#$&%!'$#!&#'!#$$! ! $& '!$ $' #%#&"# ($ %&! '!%$(% #%#&# ( &%## '!%'%&## #%#&#% '$ '&#$ '!&'&%'& #%#&$! ' ('! #" '%('%'# &'#'#( &$ (' #" '&'('( &'#'$$ & !##" #" ''& $! &'#'%! %$ "( #" '(& !#!# &'#'& % #$%" &&!('! "##! "''% $$ #'$' &&!('# "!% ! "''%! $ #'(# &&!('# """! "''%! #$ $!( &&!('% "$%!! "''%" # $"%& &&!('& "&#! "''%# "$ $%'& &&!('' # !! "''%% " $( &&!(( #!&! "''%% !$ %!"" &&!((! #$$! "''%' ! %$#!!# !'%( #&%(!(%""$ """ %('&!# !'& $ %!(%""$ %%& &# &!# !'&! $#''!(%""$! &('!!# !'&$ $(#!!(%""$# (""" '#(!!# !'&& %"%%!(%""$$ '%%& ( !#!# !'&( %( (!(%""$& ' (%( !# !''! &"(&!(%""$( &""" !" #!# !''# &($%!(%""%
Page 12 %%%& !((!# !''& '#$!!(%""%! % ! %'&!%(%'" ( "!"!& $' $ !!$((!%(%'& (''%"!& % # !"$#!%(%(!%'!"'$$'$# " !##%"!%(%(#! #!""'$$'$% ! !$#'""%" &%!! (%#&#$# !%"!"""%" &'!!(!"#&#$% APS8@S@TDTU6I8@S6UDPDI9D6BPI6GT 22222222222222222222222222222222222 9D6B8PHQS@TTDPI9D6BU@ITDPI H6TUAPS8@APS8@ @G@WH6Y8PHQS@TDTUH6YU@ITS@TDTU s8PHQS@TDTUS6UDPU@ITS@TDTUS6UDP !% & %!(& % !$$ !&& %#!$& %" !$ $"& %&$!& %& !#$ '&& % !'#& % ! !# $"& %! "$& % ( !"$ $(& %!! %"& %!" !" ("& %!& '(& %!% !!$ ! && %"! $& %" !! !'& %"(!$ & %"$ ! $ !&#& %"'!'& %"( ! "&& %#"!(&& %# !$ "!!& %#$"!& %#$ ! "'#& %$#"#(& %#( ($ "%%& %$ "&(& %$" ( #&& %$&"(& %$# '$ #!(& %%#!&& %% ' $&& %& #&(& %%& &$ $&$& %'$%!& %&' & $'!& %' $(#& %'" %$ % && %'%%"& %'# % !&& %!(!&& %!( $$ #(& %! $#& %!! $ %(& %!# $(& %!! #$ !#& %!' '(& %!% # !!& "!'!%& "!( "$ !%& "!( ($& "!& " !(& "!(!(& "!( !$ ! $& ""!&& "!( ! !##%$ "&!#%$ "& """ !#'%$ "'!# %$ "& %%& !%'%$ # !$'%$ #
Page 13 "(((#$#!"%!(#$"' (""" "&&(#$##%(#$#" '%%& #!%(#$#$"($(#$#! ' #% " " #" " "" &""" ##! " "## % " "! %%%& #" " ""#$ " "# % $&''#$&#'!''#$$ $ #($''#$%$ "''#$' # $!& $''""$% $''"! " $!! $''""$"% $''"# ! $$ "$(# $"# "$("( $$ "$(# $%! "$(# H6YDHVHDI9DWD9V6GAPVI96UDPIGP69T)xv 222222222222222222222222222222222222222222 GP698PHQPI@IUTUPU6G IPSUC@6TU9PXIVQGDAUTC@6S !""%T (%r!%&%T!"!&!x!""&T H6YDHVHUPU6GGP69TPIAPVI96UDPI)xvExvs 22222222222222222222222222222222222222222222222222 CPSDaPIU6G9PXIPW@SUVSIDIBUPSTDPI IPSUC@6TUUPU6GIPSUC@6TUUPU6G 55 "&&"""&&(& #%%'"&''&#%%' ' TT6aTBTu
2222222222222222222222222222222222222222222222222222222222222222222222222222222
2222222222222222222222222222222222222222222222222222222222222222222222222222222 GhvprqUr 6hyvVtrqp! &BhDp# %&"%&#$" Q prrqqr yvprrh) Thi rUr hqQyr) 'h !!h) &)!#) " 2222222222222222222222222222222222222222222222222222222222222222222222222222222
Tr vprGhq8qvv
22222222222222222222222222222222222222222222222222222222222222222222222222222222 Py pqvvuvsyy Trvqyhqhuhrirrqr vrqs syyphyrvqryrvt 22222222222222222222222222222222222222222222222222222222222222222222222222222222 GP69DIB8PI9DUDPI6222222222222222222222222222222222222222222222222222222222 %uvqvuvprXvq6vu)5 QG
H6TUGP69DIB 222222222222 GP69@G@W6QQG`GP696UGP69APS8@THPH@IUT U`Q@S69DVT6aD6aDCPSDa9PXIW@SUD86GUPSTI6G ssxvxvsxvsxv 8!#'!" $ 8!# !# ! 8!!'%%$
Page 14 8! '' ( 8 '$&&' 8 $$$$! 8 $%&' 8('% % # 8'' !$' 9!% '!" 9!#$ '!" 9!#$#!!" 9!"#!!# 9!"#!!" 9!!#!!" 9!!#!"# 9!#!!# 9!#!"% 9 '$#!!$ 9 '$#!!$ 9 '#!!$ 9 '#!"% 9 %#!"% 9 %##"& 9 "!("&! 9 ""'"&! 9 !"!""&! 9 !!$!" ! 9'! # "! 9' &%# !#! 9% (!# "#! 9% $'# "$ 9# %&# "# 9# #!# %$ 9 "$# &% 6IU@II6GP69DIB 222222222222222 6IU@II66UU68CH@IU6IU@II6APS8@T U`Q@@G@W6aDS696aD6YD6GTC@6SBS6WDU`UPSTDPI ssxvxvxvsxv TU9S &$##!(! CQ #$$! ' & TU9S &'!%! 22222222222222222222222222222222222222222222222222222222222222222222222222222222 H6YDHVHH6TU9DTQG68@H@IUT) 222222222222222222222222222 @G@W9@AG@8UDPITsUDGUT9@BUXDTU sIPSUC@6TU9PXIIPSUC@6TU9@B !% $&T "#&E "T&%$T%%'E& u !$$ $"T !'(E "T&%$T%%'E& u !$ #"%T !"E !T&%#T%%'E& u !#$ "&T &!E !T&%"T%%&E& u !# ""T #E T&%T%%#E& u !"$ !"&T $%E T&$#T%$'E& u !" & T(((E T&##T%#(E& u !!$ %T(#!E T&"T%"%E&u !! #"T''&E(T& T% (E%(u ! $(' T'""i(T%(%T%$E%&u ! (! T&' i'T%&&T$'&E%%u !$'%!T&"i'T%$#T$%%E%#u !'%T%' i'T%!%T$# E% u ($&$ T%"#i&T%'T$!#E$'u (%((T$'(i&T$'&T$$E$$u '$%#&T$#$i&T$%!T#'"E$!u '$((T$"i%T$"$T#$(E#'u &$$$!T#%"i%T$ T#"%E##u &$(T#!%i%T#' T# E# u %$#%&T"(i$T##(T"'"E"'u %#!'T"$&i$T# #T"$ E"$u $$"("T"!'i$T"'"T"!$E" u $"%!T" i$T"$&T"!E!'u #$"" T!&$i$T"" T!'E!$u #"#T!$!i#T"'T!$(i!"u "$!&'T!"i#T!'%T!#i! u "!$#T! i#T!%$T!!!i (u !$!" T ( i#T!#$T!$i &u !! T &#i#T!!%T '(i $u "" '$T $"i#T!'T &#i "u %& %!T "#i"T ( T $(i u # T %i"T &$T #%i u ("" ! T((i"T %T ""i(u '%& "T'$i"T #$T !i'u
Page 15 ''&T& i"T "T 'i&u &""&!T$(i!u %T(%i&u %%&$(T#'i!T !T'#i%u %#'T"(i!u''T&!i$u $""T!&i!T&!T%i#u #!!T 'i 6$&T#&i"u " "T B T#!T"$i!u !%T$B 6!&T!!i u !T Bw "T i u 666666 H6YDHVH6IU@II66I9S@AG@8UPSSPU6UDPIT) 222222222222222222222222222222222222222 @G@W6aDU`Q@7@6H9@AG@8UDPITqrt sqrtSPGG`6XQDU8CUPU6G &$TU9S$ T#"T#"%E#"&E #$CQ"" T!$u!'E!'E TU9S &$T u #%i #%i H6YDHVHU@ITDPIDIH6TUH@H7@STxv 2222222222222222222222222222222222222 @G@WG@BT9D6BCPSDa7S68@ s !% T6 H!i !$$ H6 #6%` !$r6 !"` &9 !#$ `6 %!6!&W !#'66 (6"'9 !"$%66 ! !6$W !" U6 "!(6$#9 !!$%66 #%!6%!W !! '76 %"6%(7 ! $(76 &' 7's ! T6 (%6'!9 !$'76 %6(9 !!66 "%!6($6 ($(66 %"6 %T (U6 '"!6 &9 '$'66 !%&6 '9 '" H6 !"# 6 !&W &$ !66 !%#%6 $"W &!96 !(% 6 %!9 %$ !66 """!6 %"W %!(T6 "#(!6$"T $$ 66 "$ #6# V $!E6 "$ "6"(8 #$&66 "$$%6#&V #"i6 "$'6$#8 "$$66 "%$"6#(Y ""`6 "%( 6$$8 !$#66 "&$(6$"Y !"`6
Page 16 "' #6%"A ""#66 "( 6%"Y %&"`6 "($%6%(A "66 #"(6(#Y ("""H6 # "6 A '%&!66 #!$"6 "Y '!`6 #"$'6 &A &"""66 ##( 6 (Y %%&!`6 #% 6 !"A %"66 #&% 6 !'Y $"H6 #(!(6 "(A #!66 $ 6 "$Y ""66 $!%'6 #%A !66 $#"'6 ##Y !66 $$("6 $"A 66
H6YDHVH8PHQS@TTDPIDIH6TUH@H7@STxv 22222222222222222222222222222222222222222 @G@WG@BT9D6BCPSDa7S68@ s !%H6 #B"B !$$r6 !T&B !$`6 $'B &T !#$B6 "T!(9 !# T6 !#&T#(T !"$"T6 "'%T#%9 !" 76 $ %U$&W !!$"T6 %&#U%"X !! "U6 '"&T'!U ! $%U6 %#U&%@ ! 66 !%!T'&T !$%U6 #($T(9 ! %T6 &!!T (T ($&T6 ! #T 9 ( 76 !!&"T "T '$%T6 !%!T 'W '!!B6 !'('T #!r &$ T6 """T $&9 &!66 "%#&T $(W %$ T6 #$T &9 %""66 #!"T% 6 $$(T6 #""T"&8
Page 17 $ T6 #""$T#%V #$%B6 ##"#T$#A # T6 ##&'T$!V "$#B6 #$%$T$$A "!T6 #%" T$#V !$"B6 #&! T$&A !!T6 #' !T%#V """T6 #(#"T%&A %&!T6 $'%T&"V !T6 $!& T A (""!T6 $#!'T((Y '%&!T6 $%! T &A ' T6 $&("T 'Y &""!T6 $(&%T ! A %%& T6 % $&T $Y %!T6 %"''T "(A $!T6 %%%&T ""Y #!T6 %($!T #$A "!T6 &!# T # Y !66 &$""T $!A T6 &'!!T $ Y 66 H6YDHVHDI9DWD9V6GAPVI96UDPIGP69T)xv 222222222222222222222222222222222222222222 GP698PHQPI@IUTUPU6G IPSUC@6TU9PXIVQGDAUTC@6S %&#T$$"r&($(T$%%'6%&#T H6YDHVHUPU6GGP69TPIAPVI96UDPI)xvExvs 22222222222222222222222222222222222222222222222222 CPSDaPIU6G9PXIPW@SUVSIDIBUPSTDPI IPSUC@6TUUPU6GIPSUC@6TUUPU6G 55 "'" "!'" !&% #" !&%#& TBTwTiTu
2222222222222222222222222222222222222222222222222222222222222222222222222222222
Page 18