column inter. diagram
TRANSCRIPT
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Column Interaction Diagram
Material
f''c concrete material strength 20 MPa
fy steel material strength 400 MPa
Ec Concrete elasticity modulus 21,019 MPa
Es steel elasticity modulus 200,000 MPa
y steel balance condition strain limit 0.0020
= fy / s
c concrete strain limit 0.00!
Rectangular concrete section
h column height 200 mm
Layer no.
Steel Area
b column "idth 200 mm As (mm2)
c concrete co#er 20 mm $o% 200.000 1&0
d 'ebar dia. 10 mm ! (0.000 1(2.(
As )teel area &*.(4 mm2 2 (0.000 1!(
dv ties diameter ( mm 1 (0.000 11&.(
1 0.*( Mid (0.000 100
! (0.000 *2.(
2 (0.000 +(
1 (0.000 4&.(
ot 200.000 !0
Column Capacity
Pb -ltimate aial ca%acity 967
Mb -ltimate moment ca%acity 25 .m
Column Loading
actored load
o.
1 (.00 2.(0
2 10.00 (.00
! 1(.00 &.(0
4 20.00 10.00
( 2(.00 12.(0
+ !0.00 1(.00
& !(.00 1&.(0
!""ecti#e$ept%& mm
A'ialLoad& u
()
Momentload& Mu(.m)
400.00
600.00
800.00
1000.00
1200.00
RC Column Interaction Diagram
*ltimateA'ialload(+
n&
)
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-400.00 *ltimate Moment (+ Mn& .m))
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0.9 0.*
3s 1 0.001* 0.001+
3s 1! 0.0019 0.001&
3s 12 0.0020 0.0019
3s 11 0.0022 0.0020
3s ! 0.002! 0.0022
5s 2! 0.0024 0.002!
5s 22 0.002( 0.002(
5s 21 0.002& 0.002+
3s 2 0.002* 0.002*
c 42(.00 !+4.29
200.00 200.00
6ist. from bottom, 7d18 1&0.00 1&0.00
6ist. from bottom, 7d1!8 1(2.(0 1(2.(0
6ist. from bottom, 7d128 1!(.00 1!(.00
6ist. from bottom, 7d118 11&.(0 11&.(0
6ist. from bottom, 7d!8 100.00 100.00
6ist. from bottom, 7d2!8 *2.(0 *2.(0
6ist. from bottom, 7d228 +(.00 +(.006ist. from bottom, 7d218 4&.(0 4&.(0
6ist. from bottom, 7d28 !0.00 !0.00
)tress in reinf. bar 7MPa8, fs1 !+0.00 !20.00
)tress in reinf. bar 7MPa8, fs1! !*4.&1 !4*.*2
)tress in reinf. bar 7MPa8, fs12 400.00 !&&.+(
)tress in reinf. bar 7MPa8, fs11 400.00 400.00
)tress in reinf. bar 7MPa8, fs! 400.00 400.00
)tress in reinf. bar 7MPa8, fs2! 400.00 400.00
)tress in reinf. bar 7MPa8, fs22 400.00 400.00
)tress in reinf. bar 7MPa8, fs21 400.00 400.00
)tress in reinf. bar 7MPa8, fs2 400.00 400.00
orce in steel, 1 +*+00.00 +0+00.00
orce in steel, 1! 1*!*(.29 1+(91.1*
orce in steel, 12 191(0.00 1*0!2.!(
orce in steel, 11 191(0.00 191(0.00
orce in steel, ! 191(0.00 191(0.00
orce in steel, 2! 191(0.00 191(0.00
orce in steel, 22 191(0.00 191(0.00
orce in steel, 21 191(0.00 191(0.00
orce in steel, 2 &++00.00 &++00.00
Cc +*0000.00 +*0000.00
n 9+&2(0.00 9(*4*(.29 94&(&!.(!
M1 7Cc . a 8 4&+00000.00 4&+00000.00
M2 7n . :8 +&09!9&0.(9 ++!!014&.0+
M! 7 f2 . :8 10&24000.00 10&24000.00M( 7 fs1! . :8 22(219*.(! 20!2419.12
M( 7 fs12 . :8 2010&(0.00 1*9!!9&.0+
M( 7 fs11 . :8 1+&(+2(.00 1+&(+2(.00
M4 7 fs! . :8 1!40(00.00 1!40(00.00
M& 7 fs2! . :8 100(!&(.00 100(!&(.00
M& 7 fs22 . :8 +&02(0.00 +&02(0.00
M+ 7 fs21 . :8 !!(12(.00 !!(12(.00
M 0.0000 (19*(! 94+(44
Pn 9+&.2( 9(*.49 94&.(&
Mn 0.00 0.(2 0.9(
0.+(0 0.+(0 0.+(0
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Pn +2*.&1 +2!.02 +1(.92
Mn 0.00 0.!4 0.+2
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0.&0 0.+0 0.( 0.4 0.! 0.2
0.0014 0.0012 0.0010 0.000* 0.000+ 0.0004
0.001+ 0.0014 0.0012 0.0010 0.000* 0.000&
0.001& 0.001+ 0.0014 0.001! 0.0011 0.0009
0.0019 0.001* 0.001+ 0.001( 0.001! 0.0012
0.0021 0.0019 0.001* 0.001& 0.001+ 0.001(
0.0022 0.0021 0.0020 0.0019 0.001* 0.001&
0.0024 0.002! 0.0022 0.0022 0.0021 0.0020
0.002+ 0.002( 0.0024 0.0024 0.002! 0.002!
0.002& 0.002& 0.002+ 0.002+ 0.002+ 0.002(
!1*.&( 2*!.!! 2((.00 2!1.*2 212.(0 19+.1(
200.00 200.00 200.00 19&.0( 1*0.+! 1++.&!
1&0.00 1&0.00 1&0.00 1&0.00 1&0.00 1&0.00
1(2.(0 1(2.(0 1(2.(0 1(2.(0 1(2.(0 1(2.(0
1!(.00 1!(.00 1!(.00 1!(.00 1!(.00 1!(.00
11&.(0 11&.(0 11&.(0 11&.(0 11&.(0 11&.(0
100.00 100.00 100.00 100.00 100.00 100.00
*2.(0 *2.(0 *2.(0 *2.(0 *2.(0 *2.(0
+(.00 +(.00 +(.00 +(.00 +(.00 +(.004&.(0 4&.(0 4&.(0 4&.(0 4&.(0 4&.(0
!0.00 !0.00 !0.00 !0.00 !0.00 !0.00
2*0.00 240.00 200.00 1+0.00 120.00 *0.00
!12.94 2&&.0+ 241.1* 20(.29 1+9.41 1!!.(!
!4(.** !14.12 2*2.!( 2(0.(9 21*.*2 1*&.0+
!&*.*2 !(1.1* !2!.(! 29(.** 2+*.24 240.(9
400.00 !**.24 !+4.&1 !41.1* !1&.+( 294.12
400.00 400.00 400.00 !*+.4& !+&.0+ !4&.+(
400.00 400.00 400.00 400.00 400.00 400.00
400.00 400.00 400.00 400.00 400.00 400.00
400.00 400.00 400.00 400.00 400.00 400.00
(2+00.00 44+00.00 !++00.00 2*+00.00 20+00.00 12+00.00
14&9&.0+ 1!002.94 1120*.*2 9414.&1 &+20.(9 (*2+.4&
1+444.12 14*((.** 1!2+&.+( 11+&9.41 10091.1* *(02.94
1*091.1* 1+&0*.*2 1(!2+.4& 1!944.12 12(+1.&+ 111&9.41
191(0.00 1*(+1.&+ 1&!*(.29 1+20*.*2 1(0!2.!( 1!*((.**
191(0.00 191(0.00 191(0.00 1*4&!.(! 1&(02.94 1+(!2.!(
191(0.00 191(0.00 191(0.00 191(0.00 191(0.00 191(0.00
191(0.00 191(0.00 191(0.00 191(0.00 191(0.00 191(0.00
&++00.00 &++00.00 &++00.00 &++00.00 &++00.00 &++00.00
+*0000.00 +*0000.00 +*0000.00 ++99(4.(( +1412(.00 (++**4.+2
9!(1!2.!( 921&&9.41 90&*!*.24 **!1&(.1! *124!!.*2 &(02*1.+&
4&+00000.00 4&+00000.00 4&+00000.00 4&**+(2!.&+ 4*9!*0*(.94 49111*!0.+2
+(4(92+4.&1 +4(24((*.*2 +!(4*+&+.4& +1*222(9.!+ (+*&0!+&.+( (2(19&1&.19
10&24000.00 10&24000.00 10&24000.00 10&24000.00 10&24000.00 10&24000.001*12+!9.&1 1(92*+0.29 1!&!0*0.** 11(!!01.4& 9!!(22.0+ &1!&42.+(
1&2++!2.!( 1((9*+&.+( 1!9!102.94 122+!!*.24 10(9(&!.(! *92*0*.*2
1(*29&&.94 14+2022.0+ 1!410++.1* 1220110.29 10991(4.41 9&*19*.(!
1!40(00.00 1299!2!.(! 121+9&0.(9 11!4+1&.+( 10(22+4.&1 9+9911.&+
100(!&(.00 100(!&(.00 100(!&(.00 9+9*+0.29 91*904.41 *+&94*.(!
+&02(0.00 +&02(0.00 +&02(0.00 +&02(0.00 +&02(0.00 +&02(0.00
!!(12(.00 !!(12(.00 !!(12(.00 !!(12(.00 !!(12(.00 !!(12(.00
1!!*2!( 1&242+( 2110294.12 !49&*+&.!4 **+0(12.41 12&4409*.&2
9!(.1! 921.&* 90&.*4 **!.1* *12.4! &(0.2*
1.!4 1.&2 2.11 !.(0 *.*+ 12.&4
0.+(0 0.+(0 0.+(0 0.+(0 0.+(0 0.+(0
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+0&.*4 (99.1+ (90.09 (&4.0+ (2*.0* 4*&.+*
0.*& 1.12 1.!& 2.2& (.&+ *.2*
0.00 5.00 10.00 15.00 20.00 25.00 30.00
-400.00
-200.00
0.00
200.00
400.00
600.00
800.00
1000.00
1200.00
RC Column Interaction Diagram
-ltimate Moment 7%hi Mn, .m88
-ltimate;.ialload7%hiPn,
/08
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0.1 0.0 0.1 0.2 0.! 0.4
0.0002 0.0000 0.0002 0.0004 0.000+ 0.000*
0.000( 0.000! 0.0001 0.0001 0.0002 0.0004
0.000* 0.000+ 0.000( 0.000! 0.0001 0.0000
0.0011 0.0009 0.000* 0.000& 0.000( 0.0004
0.0014 0.0012 0.0011 0.0010 0.0009 0.000*
0.001+ 0.001( 0.0014 0.0014 0.001! 0.0012
0.0019 0.0019 0.001* 0.001& 0.001+ 0.001(
0.0022 0.0022 0.0021 0.0021 0.0020 0.0019
0.002( 0.002( 0.0024 0.0024 0.0024 0.002!
1*2.14 1&0.00 1(9.!* 1(0.00 141.+& 1!4.21
1(4.*2 144.(0 1!(.4+** 12&.(000 120.41+& 114.0&*9
1&0.00 1&0.00 1&0.00 1&0.00 1&0.00 1&0.00
1(2.(0 1(2.(0 1(2.(0 1(2.(0 1(2.(0 1(2.(0
1!(.00 1!(.00 1!(.00 1!(.00 1!(.00 1!(.00
11&.(0 11&.(0 11&.(0 11&.(0 11&.(0 11&.(0
100.00 100.00 100.00 100.00 100.00 100.00
*2.(0 *2.(0 *2.(0 *2.(0 *2.(0 *2.(0
+(.00 +(.00 +(.00 +(.00 +(.00 +(.004&.(0 4&.(0 4&.(0 4&.(0 4&.(0 4&.(0
!0.00 !0.00 !0.00 !0.00 !0.00 !0.00
40.00 0.00 40.00 *0.00 120.00 1+0.00
9&.+( +1.&+ 2(.** 10.00 4(.** *1.&+
1((.29 12!.(! 91.&+ +0.00 2*.24 !.(!
212.94 1*(.29 1(&.+( 1!0.00 102.!( &4.&1
2&0.(9 24&.0+ 22!.(! 200.00 1&+.4& 1(2.94
!2*.24 !0*.*2 2*9.41 2&0.00 2(0.(9 2!1.1*
!*(.** !&0.(9 !((.29 !40.00 !24.&1 !09.41
400.00 400.00 400.00 400.00 !9*.*2 !*&.+(
400.00 400.00 400.00 400.00 400.00 400.00
4+00.00 !400.00 *000.00 1+000.00 24000.00 !2000.00
40!2.!( 22!*.24 444.12 1!(0.00 !144.12 49!*.24
+914.&1 (!2+.4& !&!*.24 21(0.00 (+1.&+ 102+.4&
9&9&.0+ *414.&1 &0!2.!( (+(0.00 42+&.+( 2**(.29
12+&9.41 11(02.94 10!2+.4& 91(0.00 &9&!.(! +&9&.0+
1((+1.&+ 14(91.1* 1!+20.(9 12+(0.00 11+&9.41 10&0*.*2
1*444.12 1&+&9.41 1+914.&1 1+1(0.00 1(!*(.29 14+20.(9
191(0.00 191(0.00 191(0.00 191(0.00 19091.1* 1*(!2.!(
&++00.00 &++00.00 &++00.00 &++00.00 &++00.00 &++00.00
(2+!92.*+ 491!00.00 4+0(9!.&( 4!!(00.00 40941+.+& !*&*+*.42
+941&2.2& +4!402.94 +00420.22 ((&+(0.00 (1&*!1.!& 4*004&.*!
4*&!*!!*.+( 4*024(&(.00 4&10290&.&1 4+0(9!&(.00 449(0(!*.19 4!*1!*20.9*
4*(920(*.*2 4(0!*20(.** 4202941(.44 !90!((00.00 !+24*19+.0* !!+0!!4*.!0
10&24000.00 10&24000.00 10&24000.00 10&24000.00 10&24000.00 10&24000.0049!9+!.24 2&41*!.*2 (4404.41 1+(!&(.00 !*(1(4.41 +049!!.*2
&2+044.12 ((92&9.41 !92(14.&1 22(&(0.00 (*9*(.29 10&&&9.41
*(&242.+( &!+2*+.&+ +1(!!0.** 494!&(.00 !&!419.12 2(24+!.24
**&((*.*2 *0(20(.** &22*(2.94 +40(00.00 ((*14&.0+ 4&(&94.12
*1+992.+( &++0!+.&+ &1(0*0.** ++412(.00 +1!1+9.12 (+221!.24
+4((44.12 +1*&&9.41 (92014.&1 (+(2(0.00 (!*4*(.29 (11&20.(9
!!(12(.00 !!(12(.00 !!(12(.00 !!(12(.00 !!409(.(9 !24!1+.1*
1(+!2&(0.41 1&*0(2++.1* 19224*1(.*0 20(0&+2(.00 21(1&4*9.1& 22!4*2++.*0
+94.1& +4!.40 +00.42 ((&.+( (1&.*! 4*0.0(
1(.+! 1&.*1 19.22 20.(1 21.(2 22.!(
0.+(0 0.+(0 0.+(0 0.+(0 0.+(0 0.+(0
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4(1.21 41*.21 !90.2& !+2.4& !!+.(9 !12.0!
10.1+ 11.(& 12.(0 1!.!! 1!.99 14.(!
(0.00000
(0.00000
+0.00000
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0.( 0.+ 0.& 0.* 0.9 1.0
0.0010 0.0012 0.0014 0.001+ 0.001* 0.0020
0.000+ 0.000* 0.0009 0.0011 0.001! 0.001(
0.0002 0.000! 0.000( 0.000& 0.000* 0.0010
0.0002 0.0001 0.0000 0.0002 0.000! 0.000(
0.000+ 0.000( 0.0004 0.000! 0.0002 0.0001
0.0011 0.0010 0.0009 0.000* 0.000& 0.000+
0.001( 0.0014 0.001! 0.0012 0.0012 0.0011
0.0019 0.001* 0.001* 0.001& 0.001& 0.001+
0.002! 0.002! 0.0022 0.0022 0.0022 0.0021
12&.(0 121.4! 11(.91 110.*& 10+.2( 102.00
10*.!&(0 10!.214! 9*.(22& 94.2!91 90.!12( *+.&0
1&0.00 1&0.00 1&0.00 1&0.00 1&0.00 1&0.00
1(2.(0 1(2.(0 1(2.(0 1(2.(0 1(2.(0 1(2.(0
1!(.00 1!(.00 1!(.00 1!(.00 1!(.00 1!(.00
11&.(0 11&.(0 11&.(0 11&.(0 11&.(0 11&.(0
100.00 100.00 100.00 100.00 100.00 100.00
*2.(0 *2.(0 *2.(0 *2.(0 *2.(0 *2.(0
+(.00 +(.00 +(.00 +(.00 +(.00 +(.004&.(0 4&.(0 4&.(0 4&.(0 4&.(0 4&.(0
!0.00 !0.00 !0.00 !0.00 !0.00 !0.00
200.00 240.00 2*0.00 !20.00 !+0.00 400.00
11&.+( 1(!.(! 1*9.41 22(.29 2+1.1* 29&.0+
!(.29 +&.0+ 9*.*2 1!0.(9 1+2.!( 194.12
4&.0+ 19.41 *.24 !(.** +!.(! 91.1*
129.41 10(.** *2.!( (*.*2 !(.29 11.&+
211.&+ 192.!( 1&2.94 1(!.(! 1!4.12 114.&1
294.12 2&*.*2 2+!.(! 24*.24 2!2.94 21&.+(
!&+.4& !+(.29 !(4.12 !42.94 !!1.&+ !20.(9
400.00 400.00 400.00 400.00 400.00 400.00
40000.00 4*000.00 (+000.00 +4000.00 &2000.00 *0000.00
+&!2.!( *(2+.4& 10!20.(9 12114.&1 1!90*.*2 1(&02.94
2+14.&1 4202.94 (&91.1* &!&9.41 *9+&.+( 10(((.**
1(02.94 120.(9 12+1.&+ 2+44.12 402+.4& (40*.*2
(+20.(9 4444.12 !2+&.+( 2091.1* 914.&1 2+1.&+
9&!*.24 *&+&.+( &&9&.0+ +*2+.4& (*((.** 4**(.29
1!*((.** 1!091.1* 12!2+.4& 11(+1.&+ 10&9&.0+ 100!2.!(
1&9&!.(! 1&414.&1 1+*((.** 1+29&.0+ 1(&!*.24 1(1&9.41
&++00.00 &++00.00 &++00.00 &++00.00 &++00.00 &++00.00
!+*4&(.00 !(092*.(& !!49&&.2& !2041!.04 !0&0+2.(0 294&*0.00
444419.12 410+!&.!9 !&*4(0.*0 !4&+(1.2* !1*0+(.44 2*9(4&.+(
42+&4010.94 41(4&4!+.22 40444+99.12 !9!&2494.09 !*!!4*!!.9* !&!!!**&.00
!1109!!*.24 2*&44+1&.+( 2+491((+.1( 24!!((*9.(1 222+4(*0.** 202+*!!(.29
10&24000.00 10&24000.00 10&24000.00 10&24000.00 10&24000.00 10&24000.00*24&1!.24 1044492.+( 12+42&2.0+ 14*40(1.4& 1&0!*!0.** 192!+10.29
2&4(44.12 441!0*.*2 +0*0&!.(! &&4*!*.24 941+02.94 110*!+&.+(
1!1(0&.!( 10((1.4& 110404.41 2!1!+0.29 !(2!1+.1* 4&!2&2.0+
!9!441.1* !110**.24 22*&!(.29 14+!*2.!( +4029.41 1*!2!.(!
(112(&.!( 4+0!01.4& 409!4(.(9 !(*!*9.&1 !0&4!!.*2 2(+4&&.94
4*49((.** 4(*191.1* 4!142+.4& 404++1.&+ !&&*9&.0+ !(11!2.!(
!14(!+.&+ !04&(&.!( 2949&&.94 2*(19*.(! 2&(419.12 2+(+!9.&1
2!02(11!.** 2!(*(90+.*1 240(**&*.2& 244+(2*+.9! 24*212*2.(1 2(1!922*.1*
444.42 410.+4 !&*.4( !4&.+( !1*.0& 2*9.((
2!.0! 2!.(9 24.0+ 24.4& 24.*2 2(.14
0.+(0 0.+(0 0.+(0 0.+(0 0.+(0 0.+(0
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2**.*& 2++.91 24(.99 22(.9& 20+.&4 1**.21
14.9& 1(.!! 1(.+4 1(.90 1+.1! 1+.!4
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1.1 1.2 1.! 1.4 1.( 1.+
0.0022 0.0024 0.002+ 0.002* 0.00!0 0.00!2
0.001& 0.001* 0.0020 0.0022 0.0024 0.002+
0.0011 0.001! 0.0014 0.001+ 0.001* 0.0019
0.000+ 0.000& 0.0009 0.0010 0.0011 0.001!
0.0001 0.0002 0.000! 0.0004 0.000( 0.000+
0.000( 0.0004 0.000! 0.0002 0.0001 0.0000
0.0010 0.0009 0.0009 0.000* 0.000& 0.000+
0.001( 0.001( 0.0014 0.0014 0.001! 0.001!
0.0021 0.0020 0.0020 0.0020 0.0019 0.0019
9*.0* 94.44 91.0& *&.9! *(.00 *2.2+
*!.!& *0.2* &&.41 &4.&4 &2.2( +9.92
1&0.00 1&0.00 1&0.00 1&0.00 1&0.00 1&0.00
1(2.(0 1(2.(0 1(2.(0 1(2.(0 1(2.(0 1(2.(0
1!(.00 1!(.00 1!(.00 1!(.00 1!(.00 1!(.00
11&.(0 11&.(0 11&.(0 11&.(0 11&.(0 11&.(0
100.00 100.00 100.00 100.00 100.00 100.00
*2.(0 *2.(0 *2.(0 *2.(0 *2.(0 *2.(0
+(.00 +(.00 +(.00 +(.00 +(.00 +(.004&.(0 4&.(0 4&.(0 4&.(0 4&.(0 4&.(0
!0.00 !0.00 !0.00 !0.00 !0.00 !0.00
400.00 400.00 400.00 400.00 400.00 400.00
!!2.94 !+*.*2 400.00 400.00 400.00 400.00
22(.** 2(&.+( 2*9.41 !21.1* !(2.94 !*4.&1
11*.*2 14+.4& 1&4.12 201.&+ 229.41 2(&.0+
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9(.29 &(.** (+.4& !&.0+ 1&.+( 1.&+
202.!( 1*&.0+ 1&1.&+ 1(+.4& 141.1* 12(.**
!09.41 29*.24 2*&.0+ 2&(.** 2+4.&1 2(!.(!
400.00 400.00 400.00 !9(.29 !**.24 !*1.1*
*0000.00 *0000.00 *0000.00 *0000.00 *0000.00 *0000.00
1&49&.0+ 19291.1* 20*(0.00 20*(0.00 20*(0.00 20*(0.00
12144.12 1!&!2.!( 1(!20.(9 1+90*.*2 1*49&.0+ 200*(.29
+&91.1* *1&!.(! 9(((.** 109!*.24 12!20.(9 1!&02.94
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&++00.00 &++00.00 &++00.00 &(+(*.*2 &424&.0+ &2*!(.29
2*!442.!1 2&2944.44 2+!19+.4! 2(4120.+9 24(+(0.00 2!&&2(.*1
2+99&4.++ 2(1241.(0 2!!49!.49 21&0!(.40 200&11.&+ 1*49!4.+!
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1**9*22+.24 1&(*+90(.2! 1+!44(44.12 1(1924&&.+9 14049*2!.(! 1294(424.10
10&24000.00 10&24000.00 10&24000.00 10(922!(.29 10!94(**.24 1019+941.1*214!!*9.&1 2!+!1+9.12 2((412(.00 2((412(.00 2((412(.00 2((412(.00
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1!0.&0 12!.1& 11(.(2 10&.&( 99.*+ 92.*0
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*(.*( &*.&9 &1.+! &1.+1 +!.!+ ((.*!
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7/25/2019 Column Inter. Diagram
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7/25/2019 Column Inter. Diagram
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