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INPUT FACTORED LOADS

Axial Force, Pu kN fc

' N/mm

Top Bending, Mx kN.m Fy N/mm

Top Bending, My kN.m Ec N/mm

Btm Bending, Mx kN.m Es N/mm

Btm Bending, My kN.m 1

GEOMETRY OF SECTION

Concrete Height, h mm Stirrups mm

Concrete Width, b mm

No. of Reinf. Bars mm Cover mm to Stirrups

RESTRAINTS

X-AXIS

Y-AXIS

BAR ARRANGEMENTS

DESIGN MOMENTS (kN.m)

5000

500

26587

420

400

900

25

X32

0.8214

90

8

3020

Column Design Under Combined Axial Compression

and Biaxial Bending Moments

Project:

Version 0.0

LU(m)

3.6

3.6

R

Salah SobhyProject

Revised by:

Pa

Date: 16-Dec-2013 1 o

Issue:

Location :1st Floor Column

20

30

Salah Sobhy

Checked by:

200000

As per (ACI 318-11) Prepared by: Eng. Salah Sobhy, Consulting Structural Eng

TopCondition

2

3060

(kLU/r)x =

(kLU/r)y =

11.33

25.50

Slenderness

Mx

500.0

Madd

8 100

Y2

BtmCondition

Stirrups 400 Face

30600.85

Asc%

2.73

Status

Column is

SHORT

kLU(mm)

0.0

X- Axis

Madd

4.5

My

116.8

Y- Axis

ok

Bar Spacing(mm)

114

900 Face

k

0.85

Braced ?

Y2

2

Rebar

20 25

Checks

7097

Po(kN)

Utilization

RatioAxis

72.9%X

0.1fc'Ag

BalancedCondition

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

0 500 1000 1500 2000

AxialLoad(kN)

Mx(kN.m)

0.1fc'Ag

BalancedConditio

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

0 200 400 600 8

AxialLoad(kN)

My(kN.m)

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v.

ge

f 1

X

ineer

00

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CALCULATIONS - X axis

0.85fc' = 27.20 N/mm 0.1 fc' Ag = 1152

fy = 420.00 N/mm

net fy = 392.80 N/mm 0.8.Pn(max.) = 7097

d' = 50.5 mm d = 849.5 mm

c max = 2831.7 Interval = 4.075 200 interva

c/d = 0.1000

c Neutral axis 84.95 89.03 93.10 97.18

Fc Conc comp force 0 795631.4 832052.5 868473.6

2 inter d' 164.64

3 inter d' 278.79

4 inter d' 392.93

5 inter d' 507.07

6 inter d' 621.21

7 inter d' 735.36

8 inter d' 0.009 inter d' 0.00

10 inter d' 0.00

11 inter d' 0.00

12 inter d' 0.00

13 inter d' 0.00

14 inter d' 0.00

c strain Steel comp strain 0.001216598 0.001298 0.001373 0.001441

2 inter strain -0.002814345 -0.002548 -0.002305 -0.002083

3 inter strain -0.006845287 -0.006395 -0.005983 -0.005607

4 inter strain -0.01087623 -0.010241 -0.009661 -0.00913

5 inter strain -0.014907172 -0.014087 -0.013339 -0.012654

6 inter strain -0.018938115 -0.017934 -0.017018 -0.016178

7 inter strain -0.022969057 -0.02178 -0.020696 -0.0197028 inter strain 0 0 0 0

9 inter strain 0 0 0 0

10 inter strain 0 0 0 0

11 inter strain 0 0 0 0

12 inter strain 0 0 0 0

13 inter strain 0 0 0 0

14 inter strain 0 0 0 0

t strain Steel tens strain -0.027 -0.025627 -0.024374 -0.023226

fsc Steel comp stress 216.1195998 232.4471 247.3452 260.9938

2 inter stress -420.0 -420.0 -420.0 -416.6

3 inter stress -420.0 -420.0 -420.0 -420.0

4 inter stress -420.0 -420.0 -420.0 -420.0

5 inter stress -420.0 -420.0 -420.0 -420.06 inter stress -420.0 -420.0 -420.0 -420.0

7 inter stress -420.0 -420.0 -420.0 -420.0

8 inter stress 0.0 0.0 0.0 0.0

9 inter stress 0.0 0.0 0.0 0.0

10 inter stress 0.0 0.0 0.0 0.0

11 inter stress 0.0 0.0 0.0 0.0

12 inter stress 0.0 0.0 0.0 0.0

13 inter stress 0.0 0.0 0.0 0.0

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Mx 0 0 0 0

Pn 0 0 0 0

0 0 0 0

0 0 0 0

0 0 0 0

Interpolated

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1194.34 1645.51

1182.26 1182.26

As = 9817 mm spacing = 114.1429 mm

ls

101.25 105.33 109.40 113.48 117.55 121.63 125.70 129.78 133.85

904894.7 941315.7 977736.8 1014158 1050579 1087000 1123421 1159842 1196263

0.001504 0.001562 0.001615 0.001665 0.001711 0.001754 0.001795 0.001833 0.001868

-0.001878 -0.00169 -0.001515 -0.001353 -0.001202 -0.001061 -0.000929 -0.000806 -0.00069

-0.00526 -0.004941 -0.004645 -0.00437 -0.004115 -0.003876 -0.003653 -0.003445 -0.003248

-0.008642 -0.008192 -0.007775 -0.007388 -0.007028 -0.006692 -0.006378 -0.006083 -0.005807

-0.012024 -0.011443 -0.010905 -0.010406 -0.009941 -0.009507 -0.009102 -0.008722 -0.008365

-0.015406 -0.014694 -0.014035 -0.013423 -0.012854 -0.012323 -0.011826 -0.01136 -0.010923

-0.018788 -0.017945 -0.017165 -0.016441 -0.015767 -0.015138 -0.01455 -0.013999 -0.0134810 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

-0.02217 -0.021196 -0.020295 -0.019458 -0.01868 -0.017953 -0.017274 -0.016637 -0.01604

273.5437 285.1224 295.8385 305.785 315.0417 323.6782 331.7547 339.3239 346.4323

-375.7 -337.9 -303.0 -270.5 -240.4 -212.2 -185.9 -161.2 -138.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

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0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

537101.8 559836.6 580877.6 600407.3 618583 635540.7 651398.8 666261 680218.2

-368795.2 -331734.6 -297435.1 -265599.1 -235970.5 -208327.4 -182476.6 -158249.3 -135497.3

-412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334

-412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334

-412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334

-412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334

-412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

-824668.1 -824668.1 -824668.1 -824668.1 -824668.1 -824668.1 -824668.1 -824668.1 -824668.1

807.9148 806.241 804.5672 802.8935 801.2197 799.546 797.8722 796.1984 794.5247

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

5 6 7 8 9 10 11 12 13

1613.85 1605.94 1598.02 1590.11 1582.19 1574.27 1566.36 1558.44 1550.53

82.97 103.71 124.45 145.19 165.93 186.67 207.41 228.16 248.9

0 0 0 0 0 0 0 0 0

1613.85 1605.94 1598.02 1590.11 1582.19 1574.27 1566.36 1558.44 1550.53

0 0 0 0 0 0 0 0 0

1000 1000 1000 1000 1000 1000 1000 1000 1000

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

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M P

0 0

0 0

686.0118 6860.118

0 0

686.0118 6860.118

137.93 142.00 146.08 150.15 154.23 158.30 162.38 166.46 170.53

1232684 1269106 1305527 1341948 1378369 1414790 1451211 1487632 1524053

0.001902 0.001933 0.001963 0.001991 0.002018 0.002043 0.002067 0.00209 0.002112

-0.000581 -0.000478 -0.000381 -0.000289 -0.000203 -0.00012 -4.18E-05 3.27E-05 0.000104

-0.003064 -0.00289 -0.002725 -0.00257 -0.002423 -0.002283 -0.002151 -0.002025 -0.001904

-0.005546 -0.005301 -0.00507 -0.004851 -0.004643 -0.004446 -0.004259 -0.004082 -0.003912

-0.008029 -0.007713 -0.007414 -0.007131 -0.006863 -0.006609 -0.006368 -0.006139 -0.00592

-0.010512 -0.010124 -0.009758 -0.009412 -0.009084 -0.008773 -0.008477 -0.008196 -0.007929

-0.012994 -0.012535 -0.012102 -0.011692 -0.011304 -0.010936 -0.010586 -0.010253 -0.0099370 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

-0.015477 -0.014947 -0.014446 -0.013973 -0.013524 -0.013099 -0.012695 -0.01231 -0.011945

353.1206 359.425 365.3776 371.0072 376.3392 381.3967 386.2004 390.7688 392.8

-116.2 -95.7 -76.2 -57.9 -40.5 -24.0 -8.4 6.5 20.7

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -404.9 -380.9

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

ex=< Pa/Ma

Pbal/Mbal >= ex> Pa/Ma

Po/Mo >= ex> Pbal/Mbal

ex> Po/Mo

Intersection with Diagram

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0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

693350.6 705729.3 717417.3 728470.9 738940.3 748870.7 758302.7 767272.8 771261

-114089.8 -93910.94 -74857.99 -56839.25 -39772.75 -23584.93 -8209.645 6412.786 20336.34

-412334 -412334 -412334 -412334 -412334 -412334 -412334 -397514.4 -373938

-412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334

-412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334

-412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334

-412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

-824668.1 -824668.1 -824668.1 -824668.1 -824668.1 -824668.1 -824668.1 -824668.1 -824668.1

792.8509 791.1771 789.5034 787.8296 786.1558 784.4821 782.8083 781.1346 779.4608

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

14 15 16 17 18 19 20 21 22

1542.61 1534.7 1526.78 1518.87 1510.95 1503.04 1495.12 1487.21 1479.29

269.64 290.38 311.12 331.86 352.6 373.35 394.09 414.83 435.57

0 0 0 0 0 0 0 0 0

1542.61 1534.7 1526.78 1518.87 1510.95 1503.04 1495.12 1487.21 1479.29

0 0 0 0 0 0 0 0 0

1000 1000 1000 1000 1000 1000 1000 1000 1000

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

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a b c

0.130119 -320.811 186788.6

174.61 178.68 182.76 186.83 190.91 194.98 199.06 203.13 207.21

1560474 1596895 1633316 1669738 1706159 1742580 1779001 1815422 1851843

0.002132 0.002152 0.002171 0.002189 0.002206 0.002223 0.002239 0.002254 0.002269

0.000171 0.000236 0.000297 0.000356 0.000413 0.000467 0.000519 0.000568 0.000616

-0.00179 -0.001681 -0.001576 -0.001477 -0.001381 -0.001289 -0.001202 -0.001117 -0.001036

-0.003751 -0.003597 -0.00345 -0.003309 -0.003175 -0.003046 -0.002922 -0.002803 -0.002689

-0.005712 -0.005514 -0.005324 -0.005142 -0.004968 -0.004802 -0.004642 -0.004489 -0.004342

-0.007673 -0.00743 -0.007197 -0.006975 -0.006762 -0.006558 -0.006362 -0.006175 -0.005994

-0.009635 -0.009346 -0.009071 -0.008808 -0.008556 -0.008314 -0.008083 -0.00786 -0.0076470 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

-0.011596 -0.011263 -0.010945 -0.010641 -0.010349 -0.01007 -0.009803 -0.009546 -0.009299

392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8

34.2 47.1 59.5 71.3 82.5 93.4 103.7 113.7 123.3

-358.0 -336.1 -315.3 -295.3 -276.2 -257.9 -240.3 -223.5 -207.3

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

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0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

771261 771261 771261 771261 771261 771261 771261 771261 771261

33609.94 46278.08 58381.24 69956.4 81037.38 91655.16 101838.2 111612.6 121002.6

-351462.1 -330011.4 -309517.4 -289917.5 -271154.4 -253175.5 -235932.9 -219382 -203482.3

-412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334

-412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334

-412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334

-412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334 -412334

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

-824668.1 -824668.1 -824668.1 -824668.1 -824668.1 -824668.1 -824668.1 -824668.1 -824668.1

777.787 776.1133 774.4395 772.7657 771.092 769.4182 767.7444 766.0707 764.3969

0 0 0 0 0 0 0 4.91 66.62

0 0 0 0 0 0 1469.948 1485.602 1501.255

0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9

0 0 0 0 0 0 955.47 965.64 975.82

0 0 0 0 0 0 0 3.19 43.3

23 24 25 26 27 28 29 30 31

1471.37 1463.46 1455.54 1447.63 1439.71 1431.8 1423.88 1415.97 1408.05

456.31 477.05 497.79 518.54 539.28 560.02 580.76 601.5 622.24

0 0 0 0 0 0 0 0 0

1471.37 1463.46 1455.54 1447.63 1439.71 1431.8 1423.88 1415.97 1408.05

0 0 0 0 0 0 0 0 0

1000 1000 1000 1000 1000 1000 1000 1000 1000

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

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211.28 215.36 219.43 223.51 227.58 231.66 235.73 239.81 243.88

1888264 1924685 1961106 1997527 2033948 2070370 2106791 2143212 2179633

0.002283 0.002297 0.00231 0.002322 0.002334 0.002346 0.002357 0.002368 0.002379

0.000662 0.000706 0.000749 0.00079 0.00083 0.000868 0.000905 0.00094 0.000975

-0.000958 -0.000884 -0.000811 -0.000742 -0.000675 -0.00061 -0.000548 -0.000488 -0.000429

-0.002579 -0.002474 -0.002372 -0.002274 -0.00218 -0.002088 -0.002 -0.001916 -0.001833

-0.0042 -0.004064 -0.003932 -0.003806 -0.003684 -0.003567 -0.003453 -0.003343 -0.003237

-0.005821 -0.005654 -0.005493 -0.005338 -0.005189 -0.005045 -0.004906 -0.004771 -0.004641

-0.007441 -0.007244 -0.007053 -0.00687 -0.006693 -0.006523 -0.006358 -0.006199 -0.0060460 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

-0.009062 -0.008834 -0.008614 -0.008402 -0.008198 -0.008001 -0.007811 -0.007627 -0.00745

392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8

132.4 141.3 149.8 158.0 165.9 173.6 180.9 188.1 194.9

-191.7 -176.7 -162.3 -148.4 -135.0 -122.1 -109.6 -97.5 -85.9

-420.0 -420.0 -420.0 -420.0 -420.0 -417.7 -400.1 -383.1 -366.7

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

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702.4677 700.7939 699.1201 697.4464 695.7726 694.0989 692.4251 690.7513 689.0776

2467.03 2528.33 2591.06 2662.27 2732.72 2802.45 2871.46 2939.79 3007.45

1918.973 1926.225 1932.978 1938.032 1942.972 1947.792 1952.501 1957.091 1961.567

0.65 0.65 0.65 0.65 0.65 0.65 0.65 0.65 0.65

1247.33 1252.05 1256.44 1259.72 1262.93 1266.06 1269.13 1272.11 1275.02

1603.57 1643.41 1684.19 1730.48 1776.27 1821.59 1866.45 1910.86 1954.84

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1247.33 1252.05 1256.44 1259.72 1262.93 1266.06 1269.13 1272.11 1275.02

1603.57 1643.41 1684.19 1730.48 1776.27 1821.59 1866.45 1910.86 1954.84

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394.67 398.74 402.82 406.89 410.97 415.05 419.12 423.20 427.27

3527213 3563634 3600055 3636477 3672898 3709319 3745740 3782161 3818582

0.002616 0.00262 0.002624 0.002628 0.002631 0.002635 0.002639 0.002642 0.002645

0.001748 0.001761 0.001774 0.001786 0.001798 0.00181 0.001822 0.001833 0.001844

0.000881 0.000903 0.000924 0.000945 0.000965 0.000985 0.001004 0.001024 0.001043

1.32E-05 4.38E-05 7.37E-05 0.000103 0.000132 0.00016 0.000187 0.000215 0.000241

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349.7 352.3 354.8 357.2 359.6 362.0 364.3 366.6 368.8

176.2 180.5 184.7 188.9 193.0 197.0 200.9 204.7 208.5

2.6 8.8 14.7 20.6 26.3 32.0 37.5 42.9 48.2

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0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0 -420.0

771261 771261 771261 771261 771261 771261 771261 771261 771261

343317 345828.4 348289.1 350700.4 353063.9 355381 357653 359881.3 362067

172957.3 177209.9 181376.4 185459.4 189461.4 193384.9 197232.1 201005.2 204706.3

2597.612 8591.265 14463.64 20218.39 25859.01 31388.86 36811.18 42129.06 47345.5

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3074.46 3140.85 3206.63 3271.83 3336.45 3400.52 3464.05 3527.07 3589.57

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1277.85 1280.61 1283.3 1285.9 1288.43 1290.89 1293.27 1295.57 1297.8

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431.35 435.42 439.50 443.57 447.65 451.72 455.80 459.87 463.95

3855003 3891424 3927845 3964266 4000687 4037109 4073530 4109951 4146372

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371.0 373.1 375.2 377.3 379.3 381.3 383.3 385.2 387.1

212.2 215.8 219.4 222.9 226.3 229.7 233.0 236.3 239.5

53.4 58.6 63.6 68.5 73.3 78.1 82.8 87.3 91.8

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468.02 472.10 476.17 480.25 484.32 488.40 492.47 496.55 500.63

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504.70 508.78 512.85 516.93 521.00 525.08 529.15 533.23 537.30

4510583 4547004 4583425 4619846 4656267 4692688 4729109 4765530 4801951

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392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8

268.6 271.2 273.8 276.4 278.9 281.4 283.9 286.3 288.7

132.9 136.6 140.3 143.9 147.5 151.0 154.5 157.9 161.2

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541.38 545.45 549.53 553.60 557.68 561.75 565.83 569.90 573.98

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1001.81 995.51 989.17 982.77 976.33 969.84 963.3 956.7 950.06

5405.47 5441.64 5477.69 5513.59 5549.37 5585 5620.51 5655.89 5691.15

0 0 0 0 0 0 0 0 0

1001.81 995.51 989.17 982.77 976.33 969.84 963.3 956.7 950.06

5405.47 5441.64 5477.69 5513.59 5549.37 5585 5620.51 5655.89 5691.15

0 0 0 0 0 0 0 0 0

1001.81 995.51 989.17 982.77 976.33 969.84 963.3 956.7 950.06

0 0 0 0 0 0 0 0 0

1000 1000 1000 1000 1000 1000 1000 1000 1000

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

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761.44 765.52 769.59 773.67 777.74 781.82 785.89 789.97 794.04

6805111 6841533 6877954 6914375 6950796 6987217 7023638 7060059 7096480

0.002801 0.002802 0.002803 0.002804 0.002805 0.002806 0.002807 0.002808 0.002809

0.002351 0.002355 0.002358 0.002362 0.002365 0.002368 0.002372 0.002375 0.002378

0.001902 0.001907 0.001913 0.001919 0.001925 0.00193 0.001936 0.001941 0.001947

0.001452 0.00146 0.001468 0.001476 0.001484 0.001492 0.0015 0.001508 0.001515

0.001002 0.001013 0.001023 0.001034 0.001044 0.001054 0.001064 0.001074 0.001084

0.000552 0.000566 0.000578 0.000591 0.000604 0.000616 0.000629 0.000641 0.000653

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392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8

392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8

380.3 381.5 382.6 383.8 384.9 386.0 387.2 388.3 389.3

290.4 292.0 293.7 295.3 296.9 298.4 300.0 301.6 303.1

200.4 202.6 204.7 206.8 208.8 210.9 212.9 214.9 216.8

110.5 113.1 115.7 118.2 120.8 123.3 125.7 128.2 130.6

20.6 23.6 26.7 29.7 32.7 35.7 38.6 41.5 44.3

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

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0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

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798.12 802.19 806.27 810.34 814.42 818.49 822.57 826.65 830.72

7132901 7169322 7205743 7242165 7278586 7315007 7351428 7387849 7424270

0.00281 0.002811 0.002812 0.002813 0.002814 0.002815 0.002816 0.002817 0.002818

0.002381 0.002384 0.002387 0.00239 0.002394 0.002397 0.0024 0.002402 0.002405

0.001952 0.001957 0.001963 0.001968 0.001973 0.001978 0.001983 0.001988 0.001993

0.001523 0.001531 0.001538 0.001545 0.001553 0.00156 0.001567 0.001574 0.001581

0.001094 0.001104 0.001113 0.001123 0.001132 0.001141 0.001151 0.00116 0.001169

0.000665 0.000677 0.000689 0.0007 0.000712 0.000723 0.000734 0.000746 0.000757

0.000236 0.00025 0.000264 0.000278 0.000291 0.000305 0.000318 0.000331 0.0003440 0 0 0 0 0 0 0 0

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-0.000193 -0.000177 -0.000161 -0.000145 -0.000129 -0.000114 -9.82E-05 -8.29E-05 -6.78E-05

392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8

392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8

390.4 391.5 392.5 392.8 392.8 392.8 392.8 392.8 392.8

304.6 306.1 307.6 309.1 310.5 312.0 313.4 314.8 316.2

218.8 220.7 222.7 224.6 226.4 228.3 230.1 232.0 233.8

133.0 135.4 137.7 140.0 142.3 144.6 146.9 149.1 151.3

47.2 50.0 52.8 55.5 58.2 60.9 63.6 66.3 68.9

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

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834.80 838.87 842.95 847.02 851.10 855.17 859.25 863.32 867.40

7460691 7497112 7533533 7569954 7606375 7642797 7679218 7715639 7752060

0.002819 0.002819 0.00282 0.002821 0.002822 0.002823 0.002824 0.002825 0.002825

0.002408 0.002411 0.002414 0.002417 0.00242 0.002422 0.002425 0.002428 0.002431

0.001998 0.002003 0.002008 0.002013 0.002017 0.002022 0.002027 0.002031 0.002036

0.001588 0.001595 0.001602 0.001608 0.001615 0.001622 0.001628 0.001635 0.001641

0.001178 0.001187 0.001195 0.001204 0.001213 0.001221 0.00123 0.001238 0.001246

0.000768 0.000778 0.000789 0.0008 0.00081 0.000821 0.000831 0.000841 0.000851

0.000357 0.00037 0.000383 0.000395 0.000408 0.00042 0.000433 0.000445 0.0004570 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0

-5.28E-05 -3.8E-05 -2.33E-05 -8.78E-06 5.63E-06 1.99E-05 3.4E-05 4.8E-05 6.19E-05

392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8

392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8

392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8

317.6 319.0 320.3 321.7 323.0 324.3 325.6 326.9 328.2

235.5 237.3 239.1 240.8 242.5 244.2 245.9 247.6 249.2

153.5 155.7 157.8 160.0 162.1 164.1 166.2 168.3 170.3

71.5 74.0 76.6 79.1 81.6 84.1 86.5 88.9 91.3

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

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0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-10.6 -7.6 -4.7 -1.8 1.1 4.0 6.8 9.6 12.4

771261 771261 771261 771261 771261 771261 771261 771261 771261

385630.5 385630.5 385630.5 385630.5 385630.5 385630.5 385630.5 385630.5 385630.5

385630.5 385630.5 385630.5 385630.5 385630.5 385630.5 385630.5 385630.5 385630.5

311790.4 313137.4 314471.3 315792.3 317100.7 318396.7 319680.3 320951.9 322211.4

231249 232987.2 234708.5 236413.4 238101.9 239774.3 241430.8 243071.7 244697.2

150707.5 152837 154945.8 157034.4 159103 161151.9 163181.3 165191.6 167183

70166.03 72686.77 75183.14 77655.48 80104.15 82529.48 84931.81 87311.45 89668.74

0 0 0 0 0 0 0 0 0

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-20750.87 -14926.84 -9159.134 -3446.924 2210.584 7814.171 13364.6 18862.64 24309.01

506.6374 504.9636 503.2898 501.6161 499.9423 498.2685 496.5948 494.921 493.2473

9746.38 9796.36 9846.2 9895.93 9945.52 9994.99 10044.33 10093.55 10142.65

1250.564 1238.485 1226.321 1214.06 1201.714 1189.276 1176.75 1164.132 1151.422

0.65 0.65 0.65 0.65 0.65 0.65 0.65 0.65 0.65

812.87 805.02 797.11 789.14 781.11 773.03 764.89 756.69 748.42

6335.15 6367.63 6400.03 6432.35 6464.59 6496.74 6528.81 6560.81 6592.72

0 0 0 0 0 0 0 0 0

812.87 805.02 797.11 789.14 781.11 773.03 764.89 756.69 748.42

6335.15 6367.63 6400.03 6432.35 6464.59 6496.74 6528.81 6560.81 6592.72

0 0 0 0 0 0 0 0 0

812.87 805.02 797.11 789.14 781.11 773.03 764.89 756.69 748.42

6335.15 6367.63 6400.03 6432.35 6464.59 6496.74 6528.81 6560.81 6592.72

174.8969 163.0621 151.1672 139.2124 127.1976 115.1328 103.0079 90.8231 78.56828

12 13 14 15 16 17 18 19 20

812.87 805.02 797.11 789.14 781.11 773.03 764.89 756.69 748.42

6335.15 6367.63 6400.03 6432.35 6464.59 6496.74 6528.81 6560.81 6592.72

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637.9731 641.9579 645.9428 649.9276 653.9124 657.8972 661.8821 665.8669 669.8517

6379.731 6419.579 6459.428 6499.276 6539.124 6578.972 6618.821 6658.669 6698.517

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

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Interval =

871.47 875.55 879.62 883.70 887.77 891.85 895.92 900.00

7788481 7824902 7861323 7897744 7934165 7970586 8007007 8043428.571

0.002826 0.002827 0.002828 0.002829 0.002829 0.00283 0.002831 0.002831667

0.002433 0.002436 0.002438 0.002441 0.002444 0.002446 0.002449 0.00245119

0.00204 0.002045 0.002049 0.002054 0.002058 0.002062 0.002066 0.002070714

0.001647 0.001654 0.00166 0.001666 0.001672 0.001678 0.001684 0.001690238

0.001254 0.001263 0.001271 0.001279 0.001286 0.001294 0.001302 0.001309762

0.000862 0.000871 0.000881 0.000891 0.000901 0.00091 0.00092 0.000929286

0.000469 0.00048 0.000492 0.000504 0.000515 0.000526 0.000538 0.000548810 0 0 0 0 0 0 0

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7.56E-05 8.93E-05 0.000103 0.000116 0.000129 0.000142 0.000155 0.000168333

392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8

392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8

392.8 392.8 392.8 392.8 392.8 392.8 392.8 392.8

329.5 330.7 332.0 333.2 334.4 335.7 336.9 338.0

250.9 252.5 254.1 255.7 257.3 258.9 260.4 262.0

172.3 174.3 176.3 178.2 180.2 182.1 184.0 185.9

93.7 96.1 98.4 100.7 103.0 105.3 107.5 109.8

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

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0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

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0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

15.1 17.9 20.5 23.2 25.9 28.5 31.1 33.7

771261 771261 771261 771261 771261 771261 771261 771260.9965

385630.5 385630.5 385630.5 385630.5 385630.5 385630.5 385630.5 385630.4982

385630.5 385630.5 385630.5 385630.5 385630.5 385630.5 385630.5 385630.4982

323459.2 324695.4 325920.2 327133.6 328335.9 329527.2 330707.7 331877.4739

246307.5 247902.8 249483.3 251049.2 252600.8 254138.2 255661.6 257171.1486

169155.7 171110.1 173046.4 174964.8 176865.7 178749.1 180615.4 182464.8233

92003.98 94317.48 96609.54 98880.46 101130.5 103360 105569.3 107758.498

0 0 0 0 0 0 0 0

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29704.44 35049.65 40345.33 45592.16 50790.83 55941.98 61046.28 66104.34542

491.5735 489.8997 488.226 486.5522 484.8784 483.2047 481.5309 479.8571429

10191.63 10240.5 10289.25 10337.89 10386.41 10434.82 10483.13 10531.33

1138.621 1125.725 1112.738 1099.657 1086.485 1073.219 1059.855 1046.396987

0.65 0.65 0.65 0.65 0.65 0.65 0.65 0.65

740.1 731.72 723.28 714.78 706.22 697.59 688.91 680.16

6624.56 6656.33 6688.01 6719.63 6751.17 6782.63 6814.03 6845.36

0 0 0 0 0 0 0 0

740.1 731.72 723.28 714.78 706.22 697.59 688.91 680.16

6624.56 6656.33 6688.01 6719.63 6751.17 6782.63 6814.03 6845.36

0 0 0 0 0 0 0 0

740.1 731.72 723.28 714.78 706.22 697.59 688.91 680.16

6624.56 6656.33 6688.01 6719.63 6751.17 6782.63 6814.03 6845.36

66.26345 53.89862 41.47379 28.98897 16.44414 3.82931 8.835517 21.57034483

21 22 23 24 25 26 27 28

740.1 731.72 723.28 714.78 706.22 697.59 688.91 680.16

6624.56 6656.33 6688.01 6719.63 6751.17 6782.63 6814.03 6845.36

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673.8366 677.8214 681.8062 685.791 689.7759 693.7607 697.7455 701.7303448

6738.366 6778.214 6818.062 6857.91 6897.759 6937.607 6977.455 7017.303448

0 0 0 0 0 0 0 0

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0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

45.6 57.0 67.9 78.4 88.6 98.3 107.6 116.7 125.4

771261 771261 771261 771261 771261 771261 771261 771261 771261

385630.5 385630.5 385630.5 385630.5 385630.5 385630.5 385630.5 385630.5 385630.5

385630.5 385630.5 385630.5 385630.5 385630.5 385630.5 385630.5 385630.5 385630.5

337281.1 342462.4 347434.7 352210.5 356801.1 361217.1 365468.3 369563.8 373512

264144.6 270830.9 277247.7 283410.7 289334.9 295033.7 300519.9 305805.1 310900.2

191008 199199.5 207060.6 214611 221868.7 228850.4 235571.5 242046.4 248288.3

117871.4 127568 136873.5 145811.2 154402.5 162667 170623.1 178287.7 185676.5

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89469.52 111873 133373 154023 173872.5 192967.2 21