'( ) * !"!##$%%%%#& *- ) , !( # , )$ #, , ", # "# ! * 5 * * ) ) 5 < : * ) = . / 6 * ) * ) 5 5 4 ) 5 J ) 6 7 . * ) ) ) 5 * )) * -) 5 ; 3 / ) #8 = / ) #8 * * * = 5 5 ) * * < * ) ; < * ) ) +/0 )) ) #8. 9 # ρ⋅ ; 5. @ @ 5 5 5 ** 3 + + 2 2 + # + = + + + + +1 + ρ⋅ + '( ) * !"!##$%%%%#& * 1 = ∑+ ⋅ 5 + ", ) 3 + 2 J + + .E = +% 3 += ) ρ ⋅2 + + ) : ρ 2+ # + ) . 2 * 4 .+00 ( + : . )) )) : 6 ) 5 6 5 3 $ 3 8 " : ) . 6 * 5 3 - 3 ; = π ⋅$ + 3 " ) +/0. ) * ) * 3 ! <# − ⋅ µ = + += " < ⋅ µ=+ = 3 ./ O <O A %.0%:%.0&=. 3 = : π ⋅ $ +3 " )) ./ * 5 6 6 ) ) * O A %.0#. * ) ) - 3 ) <+/0=. '( ) * !"!##$%%%%#& / & 4 ) *5 5 ) J 5 *5 ) 5 #÷8 ,÷#0 * * ) 1 $.! = ) 5 5 * " . / ) # * 6 .5 .5 # . 5 5 5 5 5 5 . . . . . 5 5 5 / / .5 # .. ./ .) .*7.4 .67/4 . 7)4 5"7*4 / .5 .5 6 / / $ % * 5 5 * 1 ,0 2 3 ." ." 5" /" /" " " ." 5" /" " ." 5" /" " ) ) "" ) "" ) "" ) "" * )" ) "" * )" ) "" ) "" ) "" ) "" ) "" ) "" ) "" ) "" ( + : ρ 2+ # + ) ) 3 . 5 6 5 : ) -) 7 5 . ) . / . #" . " . 5" . "" 0 <# * ++ P " = % 1 2 3 4 " 6" 4 " #" " " " 5" " "" " . 5 / ) # * . * #,. # * ) <! &. 1 += #, + & . . 5 5 5 5 5 5 5 5 5 5 5 5 5 5 ) * 5 5 5 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 - 0 0 ", % #$÷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• 5 5 < * * +& : < * + * +" * +!=. / * *3 ) + *5 + = %.%"+" ⋅ ) *5 # +# = −%.%%,80 ⋅ & : − %.&!,& ⋅ + * 3 + #.#"%# ⋅ − %.&!0 : + %.08$& ⋅ + * 3 − #.%+#+ ⋅ + %.$&80 & * ; ) * ;. 5 5 / )) ) *. " * ) '' + . #+ ) * 5 4 6 * ) ) .+00 +%% &. 4 * )) * 6 -) +0 5 ) ' ". 09 " . / ) # * 6 .. ./ .) .*7.4 .67/4 . 7)4 5"7*4 7 ) * / * '' 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 ) ) * 5 ) 5 * * . * 5 * 9 6 7 +%% &. / #, 5 +0 / * 5 5 * +# •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−%.%%,80 ⋅ & 4 + %.08$& ⋅ + ) − #.%+#+ ⋅ )) + %.$&80 KG % # + & " ! 0 $ 8 / 0. < H % #%!% +#%% +8%% "� !&00 $",% 8!"% ,!%% ) = '( ) * !"!##$%%%%#& * * &#. 1 &%. : * +, ", '( ) * !"!##$%%%%#& * &+. - ) &% ", '( ) * !"!##$%%%%#& &# ", " ) 5 ) . : * ) : ) 4 ) ) ) ) * ) : * ) . #+ * * . 6'& 3 .+00 ) ) : )) * ) 6 7 5 ) : *5 $ 6 " 5 ) 6 * * : 5 ) * * * ) * ) * +# = −%.%%,80 ⋅ 5 & & ./ ) *5 ) ) * : 7 6 : 5 *< = + # = %.%"+" ⋅ 5 ./ ) 5 ./ 7 ./ ) * + / / * 3 − %.&!,& ⋅ + + #.#"%# ⋅ − %.&!0 + ) *5 + : + %.08$& ⋅ + − #.%+#+ ⋅ + %.$&80 + ) *5 # : '( ) * !"!##$%%%%#& %% G#H G+H G&H G"H ", !#$ ,( .+00 C ) 5 6 L:!.$ / 555. . +%%% 2 42 * * 2 . * . 3$ & &7 % & )) & G! &+ . * & . * : 4? && * ".& 9 ; ' " ,&"+ 4 && * R1 . &&7 )$ ) 06 &&8 ' ,&"& 4 ) +%%!. 3$ &8 % & )) * " +%%!. )$ ) 96 )D Printing Error Notice A printing error was found on page 24 of this report in the “k1” formula for the “2 frame spacing with 1 man-hole on each girder”. The corrected version is indicated below: k1 = −0.0986 ⋅ L3i + 0.6873 L2i − 1.0212 Li + 0.7386